From df16b2c4a5ee24173ef531b8a96bf8973fbb7eb3 Mon Sep 17 00:00:00 2001
From: Daniel Lee <bearlee@alum.mit.edu>
Date: Fri, 17 Jun 2016 10:19:52 -0400
Subject: [PATCH 1/2] release/v2.10.0: updating version numbers

---
 doxygen/doxygen.cfg   | 2 +-
 stan/math/version.hpp | 2 +-
 2 files changed, 2 insertions(+), 2 deletions(-)

diff --git a/doxygen/doxygen.cfg b/doxygen/doxygen.cfg
index a080717d94e..d31e1b6ea91 100644
--- a/doxygen/doxygen.cfg
+++ b/doxygen/doxygen.cfg
@@ -38,7 +38,7 @@ PROJECT_NAME           = "Stan Math Library"
 # could be handy for archiving the generated documentation or if some version
 # control system is used.
 
-PROJECT_NUMBER         = 2.9.0
+PROJECT_NUMBER         = 2.10.0
 
 # Using the PROJECT_BRIEF tag one can provide an optional one line description
 # for a project that appears at the top of each page and should give viewer a
diff --git a/stan/math/version.hpp b/stan/math/version.hpp
index 38e7b417863..2a6faa09c52 100644
--- a/stan/math/version.hpp
+++ b/stan/math/version.hpp
@@ -12,7 +12,7 @@
 #endif
 
 #define STAN_MATH_MAJOR 2
-#define STAN_MATH_MINOR 9
+#define STAN_MATH_MINOR 10
 #define STAN_MATH_PATCH 0
 
 namespace stan {

From 771a24172486976f0a0b5299b7591cb8dd930dcd Mon Sep 17 00:00:00 2001
From: Daniel Lee <bearlee@alum.mit.edu>
Date: Fri, 17 Jun 2016 10:30:20 -0400
Subject: [PATCH 2/2] release/v2.10.0: adding built documentation. [skip ci]

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+<div class="textblock"><code>#include &lt;Eigen/Dense&gt;</code><br />
+<code>#include &lt;Eigen/QR&gt;</code><br />
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+<div class="textblock"><code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="_f32_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ada2421cf831c518a6260f60d19eb5c32"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ada2421cf831c518a6260f60d19eb5c32"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ada2421cf831c518a6260f60d19eb5c32">stan::math::F32</a> (T a, T b, T c, T d, T e, T z, T precision=1e-6)</td></tr>
+<tr class="separator:ada2421cf831c518a6260f60d19eb5c32"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="_f32_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_F32_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ada2421cf831c518a6260f60d19eb5c32">   11</a></span>&#160;    T <a class="code" href="namespacestan_1_1math.html#ada2421cf831c518a6260f60d19eb5c32">F32</a>(T a, T b, T c, T d, T <a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>, T z, T precision = 1e-6) {</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keywordtype">int</span> k = 0.0;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+</div>
+<p><a href="_l_d_l_t__alloc_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc&lt; R, C &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">This object stores the actual (double typed) LDLT factorization of an Eigen::Matrix&lt;var&gt; along with pointers to its vari's which allow the *_ldlt functions to save memory.  <a href="classstan_1_1math_1_1_l_d_l_t__alloc.html#details">More...</a><br /></td></tr>
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+<a href="_l_d_l_t__alloc_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_LDLT_ALLOC_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__alloc_html_a3b0c5b165c4253d8052147bc416b28ea"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a3b0c5b165c4253d8052147bc416b28ea">stan::math::LDLT_alloc::_variA</a></div><div class="ttdeci">Eigen::Matrix&lt; vari *, R, C &gt; _variA</div><div class="ttdef"><b>Definition:</b> <a href="_l_d_l_t__alloc_8hpp_source.html#l00055">LDLT_alloc.hpp:55</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1chainable__alloc_html"><div class="ttname"><a href="classstan_1_1math_1_1chainable__alloc.html">stan::math::chainable_alloc</a></div><div class="ttdoc">A chainable_alloc is an object which is constructed and destructed normally but the memory lifespan i...</div><div class="ttdef"><b>Definition:</b> <a href="chainable__alloc_8hpp_source.html#l00016">chainable_alloc.hpp:16</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__alloc_html_ab5039b38ec6d0cf6fb6ef49f4d837ce3"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__alloc.html#ab5039b38ec6d0cf6fb6ef49f4d837ce3">stan::math::LDLT_alloc::log_abs_det</a></div><div class="ttdeci">double log_abs_det() const </div><div class="ttdoc">Compute the log(abs(det(A))). This is just a convenience function. </div><div class="ttdef"><b>Definition:</b> <a href="_l_d_l_t__alloc_8hpp_source.html#l00049">LDLT_alloc.hpp:49</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__alloc_html_a57ddd5cb234667b1c07becffad3b77de"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a57ddd5cb234667b1c07becffad3b77de">stan::math::LDLT_alloc::compute</a></div><div class="ttdeci">void compute(const Eigen::Matrix&lt; var, R, C &gt; &amp;A)</div><div class="ttdoc">Compute the LDLT factorization and store pointers to the vari&#39;s of the matrix entries to be used when...</div><div class="ttdef"><b>Definition:</b> <a href="_l_d_l_t__alloc_8hpp_source.html#l00032">LDLT_alloc.hpp:32</a></div></div>
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+<code>#include &lt;<a class="el" href="contains__vector_8hpp_source.html">stan/math/prim/scal/meta/contains_vector.hpp</a>&gt;</code><br />
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+<div class="textblock"><code>#include &lt;<a class="el" href="mat_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/mat/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scalar__type__pre_8hpp_source.html">stan/math/prim/scal/meta/scalar_type_pre.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_28a36803b0e41c0a18a5eae798eb25aa.html">meta</a></li>  </ul>
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+<div class="title">VectorViewMvt.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="_vector_view_mvt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_META_VECTORVIEWMVT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_META_VECTORVIEWMVT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2is__vector__like_8hpp.html">stan/math/prim/mat/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector__like_8hpp.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scalar__type__pre_8hpp.html">stan/math/prim/scal/meta/scalar_type_pre.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">bool</span> is_array</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;            = <a class="code" href="structstan_1_1is__vector__like.html">stan::is_vector_like</a></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;            &lt;<span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1value__type.html">stan::math::value_type&lt;T&gt;::type</a>&gt;::value,</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;            <span class="keywordtype">bool</span> throw_if_accessed = <span class="keyword">false</span>&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_mvt.html">   16</a></span>&#160;  <span class="keyword">class </span><a class="code" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt</a> {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_mvt.html#a2c3d0382bf37405f20e83adec38db42e">   18</a></span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type__pre.html#a04ba454b3b528f4697c036d2bb19a8a1">scalar_type_pre&lt;T&gt;::type</a> <a class="code" href="classstan_1_1_vector_view_mvt.html#a2c3d0382bf37405f20e83adec38db42e">matrix_t</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_mvt.html#a63f250342668fab3df0e18e467a2ae15">   20</a></span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classstan_1_1_vector_view_mvt.html#a63f250342668fab3df0e18e467a2ae15">VectorViewMvt</a>(matrix_t&amp; m) : x_(&amp;m) { }</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_mvt.html#a7e8d6dd9b7067dbf02b7b973806335c0">   22</a></span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classstan_1_1_vector_view_mvt.html#a7e8d6dd9b7067dbf02b7b973806335c0">VectorViewMvt</a>(std::vector&lt;matrix_t&gt;&amp; vm) : x_(&amp;vm[0]) { }</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_mvt.html#a279439cc5038dfd0ea4da7fe58c1f6d0">   24</a></span>&#160;    matrix_t&amp; <a class="code" href="classstan_1_1_vector_view_mvt.html#a279439cc5038dfd0ea4da7fe58c1f6d0">operator[]</a>(<span class="keywordtype">int</span> i) {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keywordflow">if</span> (throw_if_accessed)</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#a34583d3983ee4d61d09004ce3e278250">std::out_of_range</a>(<span class="stringliteral">&quot;VectorViewMvt: this cannot be accessed&quot;</span>);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keywordflow">if</span> (is_array)</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        <span class="keywordflow">return</span> x_[i];</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <span class="keywordflow">return</span> x_[0];</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  <span class="keyword">private</span>:</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    matrix_t* x_;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;  };</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">bool</span> is_array, <span class="keywordtype">bool</span> throw_if_accessed&gt;</div>
+<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html">   41</a></span>&#160;  <span class="keyword">class </span><a class="code" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt</a>&lt;const T, is_array, throw_if_accessed&gt; {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">   43</a></span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type__pre.html#a04ba454b3b528f4697c036d2bb19a8a1">scalar_type_pre&lt;T&gt;::type</a> <a class="code" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">matrix_t</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#a5faf023847a5654c294db465351b13d8">   45</a></span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#a5faf023847a5654c294db465351b13d8">VectorViewMvt</a>(<span class="keyword">const</span> matrix_t&amp; m) : x_(&amp;m) { }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#abf41d99f5c66c8675c68ad2b61ebcc6c">   47</a></span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#abf41d99f5c66c8675c68ad2b61ebcc6c">VectorViewMvt</a>(<span class="keyword">const</span> std::vector&lt;matrix_t&gt;&amp; vm) : x_(&amp;vm[0]) { }</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af1df7ae176f5dc3acafcb45663ea82a3">   49</a></span>&#160;    <span class="keyword">const</span> matrix_t&amp; <a class="code" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af1df7ae176f5dc3acafcb45663ea82a3">operator[]</a>(<span class="keywordtype">int</span> i)<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">if</span> (throw_if_accessed)</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#a34583d3983ee4d61d09004ce3e278250">std::out_of_range</a>(<span class="stringliteral">&quot;VectorViewMvt: this cannot be accessed&quot;</span>);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordflow">if</span> (is_array)</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        <span class="keywordflow">return</span> x_[i];</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <span class="keywordflow">return</span> x_[0];</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  <span class="keyword">private</span>:</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    <span class="keyword">const</span> matrix_t* x_;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;  };</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;}</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="ttc" id="structstan_1_1scalar__type__pre_html_a04ba454b3b528f4697c036d2bb19a8a1"><div class="ttname"><a href="structstan_1_1scalar__type__pre.html#a04ba454b3b528f4697c036d2bb19a8a1">stan::scalar_type_pre::type</a></div><div class="ttdeci">scalar_type_helper_pre&lt; is_vector&lt; typename stan::math::value_type&lt; T &gt;::type &gt;::value, typename stan::math::value_type&lt; T &gt;::type, T &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="scalar__type__pre_8hpp_source.html#l00039">scalar_type_pre.hpp:39</a></div></div>
+<div class="ttc" id="structstan_1_1is__vector__like_html"><div class="ttname"><a href="structstan_1_1is__vector__like.html">stan::is_vector_like</a></div><div class="ttdoc">Template metaprogram indicates whether a type is vector_like. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__vector__like_8hpp_source.html#l00021">is_vector_like.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="mat_2meta_2is__vector__like_8hpp_html"><div class="ttname"><a href="mat_2meta_2is__vector__like_8hpp.html">is_vector_like.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_mvt_html_a7e8d6dd9b7067dbf02b7b973806335c0"><div class="ttname"><a href="classstan_1_1_vector_view_mvt.html#a7e8d6dd9b7067dbf02b7b973806335c0">stan::VectorViewMvt::VectorViewMvt</a></div><div class="ttdeci">VectorViewMvt(std::vector&lt; matrix_t &gt; &amp;vm)</div><div class="ttdef"><b>Definition:</b> <a href="_vector_view_mvt_8hpp_source.html#l00022">VectorViewMvt.hpp:22</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4_html_abf41d99f5c66c8675c68ad2b61ebcc6c"><div class="ttname"><a href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#abf41d99f5c66c8675c68ad2b61ebcc6c">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;::VectorViewMvt</a></div><div class="ttdeci">VectorViewMvt(const std::vector&lt; matrix_t &gt; &amp;vm)</div><div class="ttdef"><b>Definition:</b> <a href="_vector_view_mvt_8hpp_source.html#l00047">VectorViewMvt.hpp:47</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_mvt_html_a279439cc5038dfd0ea4da7fe58c1f6d0"><div class="ttname"><a href="classstan_1_1_vector_view_mvt.html#a279439cc5038dfd0ea4da7fe58c1f6d0">stan::VectorViewMvt::operator[]</a></div><div class="ttdeci">matrix_t &amp; operator[](int i)</div><div class="ttdef"><b>Definition:</b> <a href="_vector_view_mvt_8hpp_source.html#l00024">VectorViewMvt.hpp:24</a></div></div>
+<div class="ttc" id="scal_2meta_2is__vector__like_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__vector__like_8hpp.html">is_vector_like.hpp</a></div></div>
+<div class="ttc" id="scalar__type__pre_8hpp_html"><div class="ttname"><a href="scalar__type__pre_8hpp.html">scalar_type_pre.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34583d3983ee4d61d09004ce3e278250"><div class="ttname"><a href="namespacestan_1_1math.html#a34583d3983ee4d61d09004ce3e278250">stan::math::out_of_range</a></div><div class="ttdeci">void out_of_range(const char *function, const int max, const int index, const char *msg1=&quot;&quot;, const char *msg2=&quot;&quot;)</div><div class="ttdoc">Throw an out_of_range exception with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="out__of__range_8hpp_source.html#l00030">out_of_range.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4_html_af1df7ae176f5dc3acafcb45663ea82a3"><div class="ttname"><a href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af1df7ae176f5dc3acafcb45663ea82a3">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;::operator[]</a></div><div class="ttdeci">const matrix_t &amp; operator[](int i) const </div><div class="ttdef"><b>Definition:</b> <a href="_vector_view_mvt_8hpp_source.html#l00049">VectorViewMvt.hpp:49</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_mvt_html_a63f250342668fab3df0e18e467a2ae15"><div class="ttname"><a href="classstan_1_1_vector_view_mvt.html#a63f250342668fab3df0e18e467a2ae15">stan::VectorViewMvt::VectorViewMvt</a></div><div class="ttdeci">VectorViewMvt(matrix_t &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="_vector_view_mvt_8hpp_source.html#l00020">VectorViewMvt.hpp:20</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_mvt_html"><div class="ttname"><a href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt</a></div><div class="ttdef"><b>Definition:</b> <a href="_vector_view_mvt_8hpp_source.html#l00016">VectorViewMvt.hpp:16</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_mvt_html_a2c3d0382bf37405f20e83adec38db42e"><div class="ttname"><a href="classstan_1_1_vector_view_mvt.html#a2c3d0382bf37405f20e83adec38db42e">stan::VectorViewMvt::matrix_t</a></div><div class="ttdeci">scalar_type_pre&lt; T &gt;::type matrix_t</div><div class="ttdef"><b>Definition:</b> <a href="_vector_view_mvt_8hpp_source.html#l00018">VectorViewMvt.hpp:18</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4_html_a5faf023847a5654c294db465351b13d8"><div class="ttname"><a href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#a5faf023847a5654c294db465351b13d8">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;::VectorViewMvt</a></div><div class="ttdeci">VectorViewMvt(const matrix_t &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="_vector_view_mvt_8hpp_source.html#l00045">VectorViewMvt.hpp:45</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4_html_af2e32ce2c7cafcf155a77b88eae07d65"><div class="ttname"><a href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;::matrix_t</a></div><div class="ttdeci">scalar_type_pre&lt; T &gt;::type matrix_t</div><div class="ttdef"><b>Definition:</b> <a href="_vector_view_mvt_8hpp_source.html#l00043">VectorViewMvt.hpp:43</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1value__type_html"><div class="ttname"><a href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a></div><div class="ttdoc">Primary template class for metaprogram to compute the type of values stored in a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2value__type_8hpp_source.html#l00018">value_type.hpp:18</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits/is_arithmetic.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits/is_same.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Class to accumulate values and eventually return their sum.  <a href="classstan_1_1math_1_1accumulator.html#details">More...</a><br /></td></tr>
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+<a href="accumulator_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_ACCUMULATOR_HPP</span></div>
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+<div class="ttc" id="classstan_1_1math_1_1accumulator_html_af2da77a509c4e7e9c16d8a6f691a6901"><div class="ttname"><a href="classstan_1_1math_1_1accumulator.html#af2da77a509c4e7e9c16d8a6f691a6901">stan::math::accumulator::add</a></div><div class="ttdeci">boost::enable_if&lt; boost::is_arithmetic&lt; S &gt;, void &gt;::type add(S x)</div><div class="ttdoc">Add the specified arithmetic type value to the buffer after static casting it to the class type T...</div><div class="ttdef"><b>Definition:</b> <a href="accumulator_8hpp_source.html#l00054">accumulator.hpp:54</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__dims_8hpp_source.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</code><br />
+</div>
+<p><a href="add_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ab7092cc09ee412719d685be41a04982a"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
+<tr class="memitem:ab7092cc09ee412719d685be41a04982a"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab7092cc09ee412719d685be41a04982a">stan::math::add</a> (const Eigen::Matrix&lt; T1, R, C &gt; &amp;m1, const Eigen::Matrix&lt; T2, R, C &gt; &amp;m2)</td></tr>
+<tr class="memdesc:ab7092cc09ee412719d685be41a04982a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sum of the specified matrices.  <a href="namespacestan_1_1math.html#ab7092cc09ee412719d685be41a04982a">More...</a><br /></td></tr>
+<tr class="separator:ab7092cc09ee412719d685be41a04982a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60c2f0966abaf6f80131423add52053d"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="separator:a60c2f0966abaf6f80131423add52053d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac7b8d8a7b33160a0c7304efc26fb46db"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="memdesc:ac7b8d8a7b33160a0c7304efc26fb46db"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sum of the specified scalar and specified matrix.  <a href="namespacestan_1_1math.html#ac7b8d8a7b33160a0c7304efc26fb46db">More...</a><br /></td></tr>
+<tr class="separator:ac7b8d8a7b33160a0c7304efc26fb46db"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">add.hpp</div>  </div>
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+<a href="add_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_ADD_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_ADD_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; result.size(); ++i)</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        result(i) = c + m(i);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    }</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
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+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;}</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__matching__dims_8hpp_html"><div class="ttname"><a href="check__matching__dims_8hpp.html">check_matching_dims.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1149504bbf29d464f23508ca5eccc0a"><div class="ttname"><a href="namespacestan_1_1math.html#aa1149504bbf29d464f23508ca5eccc0a">stan::math::check_matching_dims</a></div><div class="ttdeci">bool check_matching_dims(const char *function, const char *name1, const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;y1, const char *name2, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;y2)</div><div class="ttdoc">Return true if the two matrices are of the same size. </div><div class="ttdef"><b>Definition:</b> <a href="check__matching__dims_8hpp_source.html#l00037">check_matching_dims.hpp:37</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab7092cc09ee412719d685be41a04982a"><div class="ttname"><a href="namespacestan_1_1math.html#ab7092cc09ee412719d685be41a04982a">stan::math::add</a></div><div class="ttdeci">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R, C &gt; add(const Eigen::Matrix&lt; T1, R, C &gt; &amp;m1, const Eigen::Matrix&lt; T2, R, C &gt; &amp;m2)</div><div class="ttdoc">Return the sum of the specified matrices. </div><div class="ttdef"><b>Definition:</b> <a href="add_8hpp_source.html#l00027">add.hpp:27</a></div></div>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="contents">
+<div class="textblock">Here are the classes, structs, unions and interfaces with brief descriptions:</div><div class="directory">
+<div class="levels">[detail level <span onclick="javascript:toggleLevel(1);">1</span><span onclick="javascript:toggleLevel(2);">2</span><span onclick="javascript:toggleLevel(3);">3</span><span onclick="javascript:toggleLevel(4);">4</span>]</div><table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_0_" class="arrow" onclick="toggleFolder('0_')">&#9660;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="namespaceboost.html" target="_self">boost</a></td><td class="desc">Reimplementing boost functionality </td></tr>
+<tr id="row_1_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_1_" class="arrow" onclick="toggleFolder('1_')">&#9660;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="namespace_eigen.html" target="_self">Eigen</a></td><td class="desc">(Expert) Numerical traits for algorithmic differentiation variables </td></tr>
+<tr id="row_1_0_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_1_0_" class="arrow" onclick="toggleFolder('1_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="namespace_eigen_1_1internal.html" target="_self">internal</a></td><td class="desc">(Expert) Product traits for algorithmic differentiation variables </td></tr>
+<tr id="row_1_0_0_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html" target="_self">general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_1_0_1_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html" target="_self">general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_1_0_2_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html" target="_self">general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a></td><td class="desc">Override matrix-vector and matrix-matrix products to use more efficient implementation </td></tr>
+<tr id="row_1_0_3_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html" target="_self">scalar_product_traits&lt; double, stan::math::var &gt;</a></td><td class="desc">Scalar product traits override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables </td></tr>
+<tr id="row_1_0_4_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html" target="_self">scalar_product_traits&lt; stan::math::var, double &gt;</a></td><td class="desc">Scalar product traits override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables </td></tr>
+<tr id="row_1_0_5_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html" target="_self">significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt;</a></td><td class="desc">Implemented this for printing to stream </td></tr>
+<tr id="row_1_0_6_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html" target="_self">significant_decimals_default_impl&lt; stan::math::var, false &gt;</a></td><td class="desc">Implemented this for printing to stream </td></tr>
+<tr id="row_1_1_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html" target="_self">NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="desc">Numerical traits template override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables </td></tr>
+<tr id="row_1_2_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html" target="_self">NumTraits&lt; stan::math::var &gt;</a></td><td class="desc">Numerical traits template override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables </td></tr>
+<tr id="row_2_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_2_" class="arrow" onclick="toggleFolder('2_')">&#9660;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="namespacestan.html" target="_self">stan</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span id="arr_2_0_" class="arrow" onclick="toggleFolder('2_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="namespacestan_1_1math.html" target="_self">math</a></td><td class="desc">Matrices and templated mathematical functions </td></tr>
+<tr id="row_2_0_0_" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span id="arr_2_0_0_" class="arrow" onclick="toggleFolder('2_0_0_')">&#9658;</span><span class="icona"><span class="icon">N</span></span><a class="el" href="namespacestan_1_1math_1_1detail.html" target="_self">detail</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_0_0_" style="display:none;"><td class="entry"><span style="width:64px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1detail_1_1bounded.html" target="_self">bounded</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_0_1_" style="display:none;"><td class="entry"><span style="width:64px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html" target="_self">bounded&lt; T_y, T_low, T_high, true &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_1_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1accumulator.html" target="_self">accumulator</a></td><td class="desc">Class to accumulate values and eventually return their sum </td></tr>
+<tr id="row_2_0_2_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html" target="_self">apply_scalar_unary</a></td><td class="desc">Base template class for vectorization of unary scalar functions defined by a template class <code>F</code> to a scalar, standard library vector, or <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> dense matrix expression template </td></tr>
+<tr id="row_2_0_3_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html" target="_self">apply_scalar_unary&lt; F, double &gt;</a></td><td class="desc">Template specialization for vectorized functions applying to double arguments </td></tr>
+<tr id="row_2_0_4_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html" target="_self">apply_scalar_unary&lt; F, int &gt;</a></td><td class="desc">Template specialization for vectorized functions applying to integer arguments </td></tr>
+<tr id="row_2_0_5_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html" target="_self">apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</a></td><td class="desc">Template specialization to fvar for vectorizing a unary scalar function </td></tr>
+<tr id="row_2_0_6_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html" target="_self">apply_scalar_unary&lt; F, stan::math::var &gt;</a></td><td class="desc">Template specialization to var for vectorizing a unary scalar function </td></tr>
+<tr id="row_2_0_7_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;</a></td><td class="desc">Template specialization for vectorized functions applying to standard vector containers </td></tr>
+<tr id="row_2_0_8_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1array__builder.html" target="_self">array_builder</a></td><td class="desc">Structure for building up arrays in an expression (rather than in statements) using an argumentchaining <a class="el" href="structstan_1_1math_1_1array__builder.html#a085e0190d7a41c4e33bfa9f542b1d62a">add()</a> method and a getter method <a class="el" href="structstan_1_1math_1_1array__builder.html#a725410c59aa282c6b23c52fd252aa1a3">array()</a> to return the result </td></tr>
+<tr id="row_2_0_9_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html" target="_self">AutodiffStackStorage</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_10_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1chainable__alloc.html" target="_self">chainable_alloc</a></td><td class="desc">A <a class="el" href="classstan_1_1math_1_1chainable__alloc.html" title="A chainable_alloc is an object which is constructed and destructed normally but the memory lifespan i...">chainable_alloc</a> is an object which is constructed and destructed normally but the memory lifespan is managed along with the arena allocator for the gradient calculation </td></tr>
+<tr id="row_2_0_11_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1child__type.html" target="_self">child_type</a></td><td class="desc">Primary template class for metaprogram to compute child type of T </td></tr>
+<tr id="row_2_0_12_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4.html" target="_self">child_type&lt; T_struct&lt; T_child &gt; &gt;</a></td><td class="desc">Specialization for template classes / structs </td></tr>
+<tr id="row_2_0_13_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html" target="_self">cholesky_decompose_v_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_14_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1common__type.html" target="_self">common_type</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_15_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html" target="_self">common_type&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_16_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1common__type_3_01std_1_1vector_3_01_t1_01_4_00_01std_1_1vector_3_01_t2_01_4_01_4.html" target="_self">common_type&lt; std::vector&lt; T1 &gt;, std::vector&lt; T2 &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_17_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view.html" target="_self">container_view</a></td><td class="desc">Primary template class for container view of array y with same structure as T1 and size as x </td></tr>
+<tr id="row_2_0_18_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html" target="_self">container_view&lt; dummy, T2 &gt;</a></td><td class="desc">Dummy type specialization, used in conjunction with struct dummy as described above </td></tr>
+<tr id="row_2_0_19_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html" target="_self">container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td><td class="desc">Template specialization for Eigen::Map view of array with scalar type T2 with size inferred from input Eigen::Matrix </td></tr>
+<tr id="row_2_0_20_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html" target="_self">container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a></td><td class="desc">Template specialization for scalar view of array y with scalar type T2 </td></tr>
+<tr id="row_2_0_21_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html" target="_self">container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td><td class="desc">Template specialization for matrix view of array y with scalar type T2 with shape equal to x </td></tr>
+<tr id="row_2_0_22_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html" target="_self">container_view&lt; std::vector&lt; T1 &gt;, T2 &gt;</a></td><td class="desc">Template specialization for scalar view of array y with scalar type T2 with proper indexing inferred from input vector x of scalar type T1 </td></tr>
+<tr id="row_2_0_23_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html" target="_self">coupled_ode_observer</a></td><td class="desc">Observer for the coupled states </td></tr>
+<tr id="row_2_0_24_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1coupled__ode__system.html" target="_self">coupled_ode_system</a></td><td class="desc">Base template class for a coupled ordinary differential equation system, which adds sensitivities to the base system </td></tr>
+<tr id="row_2_0_25_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html" target="_self">coupled_ode_system&lt; F, double, double &gt;</a></td><td class="desc">The coupled ode system for known initial values and known parameters </td></tr>
+<tr id="row_2_0_26_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html" target="_self">coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="desc">The coupled ODE system for known initial values and unknown parameters </td></tr>
+<tr id="row_2_0_27_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html" target="_self">coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="desc">The coupled ODE system for unknown initial values and known parameters </td></tr>
+<tr id="row_2_0_28_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html" target="_self">coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="desc">The coupled ode system for unknown intial values and unknown parameters </td></tr>
+<tr id="row_2_0_29_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html" target="_self">cvodes_ode_data</a></td><td class="desc">CVODES ode data holder object which is used during CVODES integration for CVODES callbacks </td></tr>
+<tr id="row_2_0_30_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1dummy.html" target="_self">dummy</a></td><td class="desc">Empty struct for use in boost::condtional&lt;<a class="el" href="structstan_1_1is__constant__struct.html" title="Metaprogram to determine if a type has a base scalar type that can be assigned to type double...">is_constant_struct</a>&lt;T1&gt;::value, T1, dummy&gt;::type as false condtion for safe indexing </td></tr>
+<tr id="row_2_0_31_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1fvar.html" target="_self">fvar</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_32_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html" target="_self">gevv_vvv_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_33_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1include__summand.html" target="_self">include_summand</a></td><td class="desc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) probability calculation </td></tr>
+<tr id="row_2_0_34_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1index__type.html" target="_self">index_type</a></td><td class="desc">Primary template class for the metaprogram to compute the index type of a container </td></tr>
+<tr id="row_2_0_35_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html" target="_self">index_type&lt; const T &gt;</a></td><td class="desc">Template class for metaprogram to compute the type of indexes used in a constant container type </td></tr>
+<tr id="row_2_0_36_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html" target="_self">index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="desc">Template metaprogram defining typedef for the type of index for an <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix, vector, or row vector </td></tr>
+<tr id="row_2_0_37_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">index_type&lt; std::vector&lt; T &gt; &gt;</a></td><td class="desc">Template metaprogram class to compute the type of index for a standard vector </td></tr>
+<tr id="row_2_0_38_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html" target="_self">LDLT_alloc</a></td><td class="desc">This object stores the actual (double typed) LDLT factorization of an Eigen::Matrix&lt;var&gt; along with pointers to its vari's which allow the *_ldlt functions to save memory </td></tr>
+<tr id="row_2_0_39_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html" target="_self">LDLT_factor</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_40_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html" target="_self">LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="desc">A template specialization of src/stan/math/matrix/LDLT_factor.hpp for <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> which can be used with all the *_ldlt functions </td></tr>
+<tr id="row_2_0_41_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html" target="_self">LDLT_factor&lt; T, R, C &gt;</a></td><td class="desc"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> is a thin wrapper on Eigen::LDLT to allow for reusing factorizations and efficient autodiff of things like log determinants and solutions to linear systems </td></tr>
+<tr id="row_2_0_42_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1ode__system.html" target="_self">ode_system</a></td><td class="desc">Internal representation of an ODE model object which provides convenient Jacobian functions to obtain gradients wrt to states and parameters </td></tr>
+<tr id="row_2_0_43_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html" target="_self">op_ddv_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_44_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__dv__vari.html" target="_self">op_dv_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_45_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__dvd__vari.html" target="_self">op_dvd_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_46_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__dvv__vari.html" target="_self">op_dvv_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_47_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html" target="_self">op_matrix_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_48_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__v__vari.html" target="_self">op_v_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_49_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__vd__vari.html" target="_self">op_vd_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_50_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__vdd__vari.html" target="_self">op_vdd_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_51_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__vdv__vari.html" target="_self">op_vdv_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_52_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__vector__vari.html" target="_self">op_vector_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_53_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__vv__vari.html" target="_self">op_vv_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_54_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html" target="_self">op_vvd_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_55_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html" target="_self">op_vvv_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_56_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1_operands_and_partials.html" target="_self">OperandsAndPartials</a></td><td class="desc">This class builds partial derivatives with respect to a set of operands </td></tr>
+<tr id="row_2_0_57_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html" target="_self">OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="desc">This class builds partial derivatives with respect to a set of operands </td></tr>
+<tr id="row_2_0_58_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html" target="_self">OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a></td><td class="desc">This class builds partial derivatives with respect to a set of operands </td></tr>
+<tr id="row_2_0_59_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1pass__type.html" target="_self">pass_type</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_60_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1pass__type_3_01double_01_4.html" target="_self">pass_type&lt; double &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_61_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1pass__type_3_01int_01_4.html" target="_self">pass_type&lt; int &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_62_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1precomp__v__vari.html" target="_self">precomp_v_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_63_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html" target="_self">precomp_vv_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_64_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html" target="_self">precomp_vvv_vari</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_65_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html" target="_self">precomputed_gradients_vari</a></td><td class="desc">A variable implementation taking a sequence of operands and partial derivatives with respect to the operands </td></tr>
+<tr id="row_2_0_66_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html" target="_self">promote_scalar_struct</a></td><td class="desc">General struct to hold static function for promoting underlying scalar types </td></tr>
+<tr id="row_2_0_67_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html" target="_self">promote_scalar_struct&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt;</a></td><td class="desc">Struct to hold static function for promoting underlying scalar types </td></tr>
+<tr id="row_2_0_68_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html" target="_self">promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt;</a></td><td class="desc">Struct to hold static function for promoting underlying scalar types </td></tr>
+<tr id="row_2_0_69_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html" target="_self">promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1,-1 &gt; &gt;</a></td><td class="desc">Struct to hold static function for promoting underlying scalar types </td></tr>
+<tr id="row_2_0_70_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html" target="_self">promote_scalar_struct&lt; T, std::vector&lt; S &gt; &gt;</a></td><td class="desc">Struct to hold static function for promoting underlying scalar types </td></tr>
+<tr id="row_2_0_71_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html" target="_self">promote_scalar_struct&lt; T, T &gt;</a></td><td class="desc">Struct to hold static function for promoting underlying scalar types </td></tr>
+<tr id="row_2_0_72_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__type.html" target="_self">promote_scalar_type</a></td><td class="desc">Template metaprogram to calculate a type for converting a convertible type </td></tr>
+<tr id="row_2_0_73_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">promote_scalar_type&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="desc">Template metaprogram to calculate a type for a row vector whose underlying scalar is converted from the second template parameter type to the first </td></tr>
+<tr id="row_2_0_74_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html" target="_self">promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic,                                                                                                                                                                                                                                                                                                                                                                           Eigen::Dynamic &gt; &gt;</a></td><td class="desc">Template metaprogram to calculate a type for a matrix whose underlying scalar is converted from the second template parameter type to the first </td></tr>
+<tr id="row_2_0_75_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html" target="_self">promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a></td><td class="desc">Template metaprogram to calculate a type for a vector whose underlying scalar is converted from the second template parameter type to the first </td></tr>
+<tr id="row_2_0_76_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html" target="_self">promote_scalar_type&lt; T, std::vector&lt; S &gt; &gt;</a></td><td class="desc">Template metaprogram to calculate a type for a container whose underlying scalar is converted from the second template parameter type to the first </td></tr>
+<tr id="row_2_0_77_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promoter.html" target="_self">promoter</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_78_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html" target="_self">promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_79_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html" target="_self">promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_80_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_81_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_82_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html" target="_self">promoter&lt; T, T &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_83_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view.html" target="_self">seq_view</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_84_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html" target="_self">seq_view&lt; double, std::vector&lt; int &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_85_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_86_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html" target="_self">seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_87_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_88_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html" target="_self">seq_view&lt; T, std::vector&lt; S &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_89_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html" target="_self">seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_90_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">seq_view&lt; T, std::vector&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_91_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1stack__alloc.html" target="_self">stack_alloc</a></td><td class="desc">An instance of this class provides a memory pool through which blocks of raw memory may be allocated and then collected simultaneously </td></tr>
+<tr id="row_2_0_92_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1store__type.html" target="_self">store_type</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_93_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1store__type_3_01double_01_4.html" target="_self">store_type&lt; double &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_94_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1store__type_3_01int_01_4.html" target="_self">store_type&lt; int &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_95_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html" target="_self">stored_gradient_vari</a></td><td class="desc">A var implementation that stores the daughter variable implementation pointers and the partial derivative with respect to the result explicitly in arrays constructed on the auto-diff memory stack </td></tr>
+<tr id="row_2_0_96_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html" target="_self">sum_eigen_v_vari</a></td><td class="desc">Class for representing sums with constructors for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> </td></tr>
+<tr id="row_2_0_97_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1sum__v__vari.html" target="_self">sum_v_vari</a></td><td class="desc">Class for sums of variables constructed with standard vectors </td></tr>
+<tr id="row_2_0_98_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1value__type.html" target="_self">value_type</a></td><td class="desc">Primary template class for metaprogram to compute the type of values stored in a container </td></tr>
+<tr id="row_2_0_99_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4.html" target="_self">value_type&lt; const T &gt;</a></td><td class="desc">Template class for metaprogram to compute the type of values stored in a constant container </td></tr>
+<tr id="row_2_0_100_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1value__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html" target="_self">value_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="desc">Template metaprogram defining the type of values stored in an <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix, vector, or row vector </td></tr>
+<tr id="row_2_0_101_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">value_type&lt; std::vector&lt; T &gt; &gt;</a></td><td class="desc">Template metaprogram class to compute the type of values stored in a standard vector </td></tr>
+<tr id="row_2_0_102_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1var.html" target="_self">var</a></td><td class="desc">Independent (input) and dependent (output) variables for gradients </td></tr>
+<tr id="row_2_0_103_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1vari.html" target="_self">vari</a></td><td class="desc">The variable implementation base class </td></tr>
+<tr id="row_2_0_104_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html" target="_self">welford_covar_estimator</a></td><td class="desc"></td></tr>
+<tr id="row_2_0_105_" style="display:none;"><td class="entry"><span style="width:48px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html" target="_self">welford_var_estimator</a></td><td class="desc"></td></tr>
+<tr id="row_2_1_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1contains__fvar.html" target="_self">contains_fvar</a></td><td class="desc">Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of the template parameters </td></tr>
+<tr id="row_2_2_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1contains__nonconstant__struct.html" target="_self">contains_nonconstant_struct</a></td><td class="desc"></td></tr>
+<tr id="row_2_3_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1contains__vector.html" target="_self">contains_vector</a></td><td class="desc"></td></tr>
+<tr id="row_2_4_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1error__index.html" target="_self">error_index</a></td><td class="desc"></td></tr>
+<tr id="row_2_5_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__constant.html" target="_self">is_constant</a></td><td class="desc">Metaprogramming struct to detect whether a given type is constant in the mathematical sense (not the C++ <code>const</code> sense) </td></tr>
+<tr id="row_2_6_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__constant__struct.html" target="_self">is_constant_struct</a></td><td class="desc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double </td></tr>
+<tr id="row_2_7_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html" target="_self">is_constant_struct&lt; Eigen::Block&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_8_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html" target="_self">is_constant_struct&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_9_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__constant__struct_3_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">is_constant_struct&lt; std::vector&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_10_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__fvar.html" target="_self">is_fvar</a></td><td class="desc"></td></tr>
+<tr id="row_2_11_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__fvar_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html" target="_self">is_fvar&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_12_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__var.html" target="_self">is_var</a></td><td class="desc"></td></tr>
+<tr id="row_2_13_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__var_3_01stan_1_1math_1_1var_01_4.html" target="_self">is_var&lt; stan::math::var &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_14_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__var__or__arithmetic.html" target="_self">is_var_or_arithmetic</a></td><td class="desc"></td></tr>
+<tr id="row_2_15_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector.html" target="_self">is_vector</a></td><td class="desc"></td></tr>
+<tr id="row_2_16_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector_3_01const_01_t_01_4.html" target="_self">is_vector&lt; const T &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_17_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html" target="_self">is_vector&lt; Eigen::Block&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_18_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">is_vector&lt; Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_19_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html" target="_self">is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_20_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector_3_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">is_vector&lt; std::vector&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_21_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector__like.html" target="_self">is_vector_like</a></td><td class="desc">Template metaprogram indicates whether a type is vector_like </td></tr>
+<tr id="row_2_22_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector__like_3_01const_01_t_01_4.html" target="_self">is_vector_like&lt; const T &gt;</a></td><td class="desc">Template metaprogram indicates whether a type is vector_like </td></tr>
+<tr id="row_2_23_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">is_vector_like&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></td><td class="desc">Template metaprogram indicates whether a type is vector_like </td></tr>
+<tr id="row_2_24_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html" target="_self">is_vector_like&lt; T * &gt;</a></td><td class="desc">Template metaprogram indicates whether a type is vector_like </td></tr>
+<tr id="row_2_25_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1partials__return__type.html" target="_self">partials_return_type</a></td><td class="desc"></td></tr>
+<tr id="row_2_26_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1partials__type.html" target="_self">partials_type</a></td><td class="desc"></td></tr>
+<tr id="row_2_27_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1partials__type_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html" target="_self">partials_type&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_28_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4.html" target="_self">partials_type&lt; stan::math::var &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_29_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1return__type.html" target="_self">return_type</a></td><td class="desc">Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of the template parameters </td></tr>
+<tr id="row_2_30_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1scalar__type.html" target="_self">scalar_type</a></td><td class="desc">Metaprogram structure to determine the base scalar type of a template argument </td></tr>
+<tr id="row_2_31_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_32_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1scalar__type_3_01_t_01_5_01_4.html" target="_self">scalar_type&lt; T * &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_33_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1scalar__type__pre.html" target="_self">scalar_type_pre</a></td><td class="desc">Metaprogram structure to determine the type of first container of the base scalar type of a template argument </td></tr>
+<tr id="row_2_34_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1size__of__helper.html" target="_self">size_of_helper</a></td><td class="desc"></td></tr>
+<tr id="row_2_35_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1size__of__helper_3_01_t_00_01true_01_4.html" target="_self">size_of_helper&lt; T, true &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_36_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_builder.html" target="_self">VectorBuilder</a></td><td class="desc"><a class="el" href="classstan_1_1_vector_builder.html" title="VectorBuilder allocates type T1 values to be used as intermediate values. ">VectorBuilder</a> allocates type T1 values to be used as intermediate values </td></tr>
+<tr id="row_2_37_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_builder_helper.html" target="_self">VectorBuilderHelper</a></td><td class="desc"><a class="el" href="classstan_1_1_vector_builder.html" title="VectorBuilder allocates type T1 values to be used as intermediate values. ">VectorBuilder</a> allocates type T1 values to be used as intermediate values </td></tr>
+<tr id="row_2_38_" class="even"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html" target="_self">VectorBuilderHelper&lt; T1, true, false &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_2_39_"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html" target="_self">VectorBuilderHelper&lt; T1, true, true &gt;</a></td><td class="desc">Template specialization for using a vector </td></tr>
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+<div class="title">append_col.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="append__col_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a9f2aa85e5119417b44958458dd714cff"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_5ad826fc69c5de8867ad775040807419.html">fun</a></li>  </ul>
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+<div class="title">append_col.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="append__col_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_APPEND_COL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_APPEND_COL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;typename return_type&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                         Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9f2aa85e5119417b44958458dd714cff">   39</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9f2aa85e5119417b44958458dd714cff">append_col</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R1, C1&gt;&amp; A,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;               <span class="keyword">const</span> Eigen::Matrix&lt;T2, R2, C2&gt;&amp; B) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordtype">int</span> Arows = A.rows();</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordtype">int</span> Brows = B.rows();</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordtype">int</span> Acols = A.cols();</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordtype">int</span> Bcols = B.cols();</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="stringliteral">&quot;append_col&quot;</span>,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                       <span class="stringliteral">&quot;rows of A&quot;</span>, Arows,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                       <span class="stringliteral">&quot;rows of B&quot;</span>, Brows);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      Matrix&lt;typename return_type&lt;T1, T2&gt;::type, Dynamic, Dynamic&gt;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        result(Arows, Acols+Bcols);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; Acols; j++)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; Arows; i++)</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;          result(i, j) = A(i, j);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = Acols, k = 0; k &lt; Bcols; j++, k++)</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; Arows; i++)</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;          result(i, j) = B(i, k);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    }</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;typename return_type&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                         1, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a10572fe52ef6b2ddbe94aa1549310289">   85</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9f2aa85e5119417b44958458dd714cff">append_col</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, 1, C1&gt;&amp; A,</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;             <span class="keyword">const</span> Eigen::Matrix&lt;T2, 1, C2&gt;&amp; B) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordtype">int</span> Asize = A.size();</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordtype">int</span> Bsize = B.size();</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      Matrix&lt;typename return_type&lt;T1, T2&gt;::type, 1, Dynamic&gt;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        result(Asize + Bsize);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; Asize; i++)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        result(i) = A(i);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0, j = Asize; i &lt; Bsize; i++, j++)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        result(j) = B(i);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    }</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00128"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1462dc3a656316092e0557cdc276f377">  128</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9f2aa85e5119417b44958458dd714cff">append_col</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, R1, C1&gt;&amp; A,</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;               <span class="keyword">const</span> Eigen::Matrix&lt;T, R2, C2&gt;&amp; B) {</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="stringliteral">&quot;append_col&quot;</span>,</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                       <span class="stringliteral">&quot;rows of A&quot;</span>, A.rows(),</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                       <span class="stringliteral">&quot;rows of B&quot;</span>, B.rows());</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      Matrix&lt;T, Dynamic, Dynamic&gt; result(A.rows(), A.cols()+B.cols());</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;      result &lt;&lt; A, B;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    }</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;T, 1, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00160"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac5ba839958285c999e1f3bb5706bb9b6">  160</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9f2aa85e5119417b44958458dd714cff">append_col</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, 1, C1&gt;&amp; A,</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;               <span class="keyword">const</span> Eigen::Matrix&lt;T, 1, C2&gt;&amp; B) {</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;      Matrix&lt;T, 1, Dynamic&gt; result(A.size()+B.size());</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;      result &lt;&lt; A, B;</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    }</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;typename return_type&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;                         1, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00188"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7109247897a8a5530d481b3219eab226">  188</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9f2aa85e5119417b44958458dd714cff">append_col</a>(<span class="keyword">const</span> T1&amp; A,</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;               <span class="keyword">const</span> Eigen::Matrix&lt;T2, R, C&gt;&amp; B) {</div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T1, T2&gt;::type</a> <a class="code" href="structstan_1_1return__type.html">return_type</a>;</div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;</div>
+<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;      Matrix&lt;return_type, 1, Dynamic&gt;</div>
+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;        result(B.size() + 1);</div>
+<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;      result &lt;&lt; A, B.template cast&lt;return_type&gt;();</div>
+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    }</div>
+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;</div>
+<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div>
+<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;typename return_type&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;                         1, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00218"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ace861531ce1f3daf3bb810ec50cf0a5f">  218</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9f2aa85e5119417b44958458dd714cff">append_col</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R, C&gt;&amp; A,</div>
+<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;               <span class="keyword">const</span> T2&amp; B) {</div>
+<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T1, T2&gt;::type</a> <a class="code" href="structstan_1_1return__type.html">return_type</a>;</div>
+<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;</div>
+<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;      Matrix&lt;return_type, 1, Dynamic&gt;</div>
+<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;        result(A.size() + 1);</div>
+<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;      result &lt;&lt; A.template cast&lt;return_type&gt;(), B;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="append__row_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="separator:a7fa479d37a14b42091384f9876d83b87"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_5ad826fc69c5de8867ad775040807419.html">fun</a></li>  </ul>
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+<div class="header">
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+<div class="title">append_row.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="append__row_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_APPEND_ROW_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_APPEND_ROW_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;typename return_type&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                         Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aed867c5cdbb34fe1c10ad212665c8611">   37</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aed867c5cdbb34fe1c10ad212665c8611">append_row</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R1, C1&gt;&amp; A,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;               <span class="keyword">const</span> Eigen::Matrix&lt;T2, R2, C2&gt;&amp; B) {</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordtype">int</span> Arows = A.rows();</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordtype">int</span> Brows = B.rows();</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordtype">int</span> Acols = A.cols();</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordtype">int</span> Bcols = B.cols();</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="stringliteral">&quot;append_row&quot;</span>,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                       <span class="stringliteral">&quot;columns of A&quot;</span>, Acols,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                       <span class="stringliteral">&quot;columns of B&quot;</span>, Bcols);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      Matrix&lt;typename return_type&lt;T1, T2&gt;::type, Dynamic, Dynamic&gt;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        result(Arows + Brows, Acols);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; Acols; j++) {</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; Arows; i++)</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;          result(i, j) = A(i, j);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = Arows, k = 0; k &lt; Brows; i++, k++)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;          result(i, j) = B(k, j);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      }</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    }</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> R2&gt;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;typename return_type&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                         Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad3ac4765524854d6b14af8def58431dc">   80</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aed867c5cdbb34fe1c10ad212665c8611">append_row</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R1, 1&gt;&amp; A,</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;               <span class="keyword">const</span> Eigen::Matrix&lt;T2, R2, 1&gt;&amp; B) {</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordtype">int</span> Asize = A.size();</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordtype">int</span> Bsize = B.size();</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      Matrix&lt;typename return_type&lt;T1, T2&gt;::type, 1, Dynamic&gt;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        result(Asize + Bsize);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; Asize; i++)</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        result(i) = A(i);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0, j = Asize; i &lt; Bsize; i++, j++)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        result(j) = B(i);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00121"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae8edbdc61c53db90c4dd6039221f5a71">  121</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aed867c5cdbb34fe1c10ad212665c8611">append_row</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, R1, C1&gt;&amp; A,</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;               <span class="keyword">const</span> Eigen::Matrix&lt;T, R2, C2&gt;&amp; B) {</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="stringliteral">&quot;append_row&quot;</span>,</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                       <span class="stringliteral">&quot;columns of A&quot;</span>, A.cols(),</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                       <span class="stringliteral">&quot;columns of B&quot;</span>, B.cols());</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      Matrix&lt;T, Dynamic, Dynamic&gt;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        result(A.rows() + B.rows(), A.cols());</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;      result &lt;&lt; A, B;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;    }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> R2&gt;</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00155"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a66107dc00c528f6d692bbde30d6af90c">  155</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aed867c5cdbb34fe1c10ad212665c8611">append_row</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, R1, 1&gt;&amp; A,</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;               <span class="keyword">const</span> Eigen::Matrix&lt;T, R2, 1&gt;&amp; B) {</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;      Matrix&lt;T, Dynamic, 1&gt;  result(A.size()+B.size());</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;      result &lt;&lt; A, B;</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    }</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;</div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;typename return_type&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;                         Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00182"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af49e61d2cb5135e0d653f3d9d8d35725">  182</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aed867c5cdbb34fe1c10ad212665c8611">append_row</a>(<span class="keyword">const</span> T1&amp; A,</div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;               <span class="keyword">const</span> Eigen::Matrix&lt;T2, R, C&gt;&amp; B) {</div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T1, T2&gt;::type</a> <a class="code" href="structstan_1_1return__type.html">return_type</a>;</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;</div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;      Matrix&lt;return_type, Dynamic, 1&gt;</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;        result(B.size() + 1);</div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;      result &lt;&lt; A, B.template cast&lt;return_type&gt;();</div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    }</div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;</div>
+<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;</div>
+<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;typename return_type&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;                         Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7fa479d37a14b42091384f9876d83b87">  211</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aed867c5cdbb34fe1c10ad212665c8611">append_row</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R, C&gt;&amp; A,</div>
+<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;               <span class="keyword">const</span> T2&amp; B) {</div>
+<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T1, T2&gt;::type</a> <a class="code" href="structstan_1_1return__type.html">return_type</a>;</div>
+<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;</div>
+<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;      Matrix&lt;return_type, Dynamic, 1&gt;</div>
+<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;        result(A.size() + 1);</div>
+<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;      result &lt;&lt; A.template cast&lt;return_type&gt;(), B;</div>
+<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;    }</div>
+<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;</div>
+<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;  }</div>
+<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;</div>
+<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;}</div>
+<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;</div>
+<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html"><div class="ttname"><a href="structstan_1_1return__type.html">stan::return_type</a></div><div class="ttdoc">Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of...</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00019">return_type.hpp:19</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="arr_2meta_2index__type_8hpp_source.html">stan/math/prim/arr/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="arr_2err_2check__ordered_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:af55e7669a804e68bc9d39ecd06318b23"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:af55e7669a804e68bc9d39ecd06318b23"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af55e7669a804e68bc9d39ecd06318b23">stan::math::check_ordered</a> (const char *function, const char *name, const std::vector&lt; T_y &gt; &amp;y)</td></tr>
+<tr class="memdesc:af55e7669a804e68bc9d39ecd06318b23"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified vector is sorted into strictly increasing order.  <a href="namespacestan_1_1math.html#af55e7669a804e68bc9d39ecd06318b23">More...</a><br /></td></tr>
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+<a href="arr_2err_2check__ordered_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_ERR_CHECK_ORDERED_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2fun_2fill_8hpp_source.html">stan/math/prim/scal/fun/fill.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="arr_2fun_2fill_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa7f5d81c4d45f2407096def8810ffe00"><td class="memTemplParams" colspan="2">template&lt;typename T , typename S &gt; </td></tr>
+<tr class="memitem:aa7f5d81c4d45f2407096def8810ffe00"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa7f5d81c4d45f2407096def8810ffe00">stan::math::fill</a> (std::vector&lt; T &gt; &amp;x, const S &amp;y)</td></tr>
+<tr class="memdesc:aa7f5d81c4d45f2407096def8810ffe00"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fill the specified container with the specified value.  <a href="namespacestan_1_1math.html#aa7f5d81c4d45f2407096def8810ffe00">More...</a><br /></td></tr>
+<tr class="separator:aa7f5d81c4d45f2407096def8810ffe00"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">stan/math/prim/scal/fun/promote_scalar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html">stan/math/prim/scal/fun/promote_scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2index__type_8hpp_source.html">stan/math/prim/arr/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="arr_2fun_2promote__scalar_8hpp_source.html">Go to the source code of this file.</a></p>
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+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html">stan::math::promote_scalar_struct&lt; T, std::vector&lt; S &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Struct to hold static function for promoting underlying scalar types.  <a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<a href="arr_2fun_2promote__scalar_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUN_PROMOTE_SCALAR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_FUN_PROMOTE_SCALAR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2fun_2promote__scalar_8hpp.html">stan/math/prim/scal/fun/promote_scalar.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    };</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;}</div>
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+<div class="ttc" id="arr_2meta_2index__type_8hpp_html"><div class="ttname"><a href="arr_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4_html_a1737468cee6801ffd1d111cf2170ac17"><div class="ttname"><a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a1737468cee6801ffd1d111cf2170ac17">stan::math::promote_scalar_struct&lt; T, std::vector&lt; S &gt; &gt;::apply</a></div><div class="ttdeci">static std::vector&lt; typename promote_scalar_type&lt; T, S &gt;::type &gt; apply(const std::vector&lt; S &gt; &amp;x)</div><div class="ttdoc">Return the standard vector consisting of the recursive promotion of the elements of the input standar...</div><div class="ttdef"><b>Definition:</b> <a href="arr_2fun_2promote__scalar_8hpp_source.html#l00032">promote_scalar.hpp:32</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
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+<div class="ttc" id="scal_2fun_2promote__scalar__type_8hpp_html"><div class="ttname"><a href="scal_2fun_2promote__scalar__type_8hpp.html">promote_scalar_type.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html">stan/math/prim/scal/fun/promote_scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="arr_2fun_2promote__scalar__type_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html">stan::math::promote_scalar_type&lt; T, std::vector&lt; S &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram to calculate a type for a container whose underlying scalar is converted from the second template parameter type to the first.  <a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<a href="arr_2fun_2promote__scalar__type_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUN_PROMOTE_SCALAR_TYPE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_FUN_PROMOTE_SCALAR_TYPE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2fun_2promote__scalar__type_8hpp.html">stan/math/prim/scal/fun/promote_scalar_type.hpp</a>&gt;</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promote__scalar__type_html"><div class="ttname"><a href="structstan_1_1math_1_1promote__scalar__type.html">stan::math::promote_scalar_type</a></div><div class="ttdoc">Template metaprogram to calculate a type for converting a convertible type. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2fun_2promote__scalar__type_8hpp_source.html#l00015">promote_scalar_type.hpp:15</a></div></div>
+<div class="ttc" id="scal_2fun_2promote__scalar__type_8hpp_html"><div class="ttname"><a href="scal_2fun_2promote__scalar__type_8hpp.html">promote_scalar_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4_html_a5b7882075346e87e0765625eac15c615"><div class="ttname"><a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a5b7882075346e87e0765625eac15c615">stan::math::promote_scalar_type&lt; T, std::vector&lt; S &gt; &gt;::type</a></div><div class="ttdeci">std::vector&lt; typename promote_scalar_type&lt; T, S &gt;::type &gt; type</div><div class="ttdoc">The promoted type. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2fun_2promote__scalar__type_8hpp_source.html#l00023">promote_scalar_type.hpp:23</a></div></div>
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+<a href="arr_2fun_2to__fvar_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_ARR_FUN_TO_FVAR_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2fun_2to__var_8hpp_source.html">stan/math/rev/scal/fun/to_var.hpp</a>&gt;</code><br />
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+<tr class="memdesc:a82cb5d53612dd12c7038fe711b8dad30"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="namespacestan_1_1math.html#a82cb5d53612dd12c7038fe711b8dad30">More...</a><br /></td></tr>
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+<div class="ttc" id="scal_2fun_2to__var_8hpp_html"><div class="ttname"><a href="scal_2fun_2to__var_8hpp.html">to_var.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilderHelper.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template specialization for using a vector.  <a href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#details">More...</a><br /></td></tr>
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+<a href="arr_2meta_2_vector_builder_helper_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_META_VECTORBUILDER_HELPER_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_META_VECTORBUILDER_HELPER_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_builder_helper_8hpp.html">stan/math/prim/scal/meta/VectorBuilderHelper.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T1&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html">   14</a></span>&#160;  <span class="keyword">class </span><a class="code" href="classstan_1_1_vector_builder_helper.html">VectorBuilderHelper</a>&lt;T1, true, true&gt; {</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">public</span>:</div>
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+<div class="ttc" id="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4_html_aea989a6bfba0d983ae6839696c82a660"><div class="ttname"><a href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#aea989a6bfba0d983ae6839696c82a660">stan::VectorBuilderHelper&lt; T1, true, true &gt;::type</a></div><div class="ttdeci">std::vector&lt; T1 &gt; type</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2_vector_builder_helper_8hpp_source.html#l00020">VectorBuilderHelper.hpp:20</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_builder_helper_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_builder_helper_8hpp.html">VectorBuilderHelper.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4_html_a41c70cddac8238f49b6afde03fe22102"><div class="ttname"><a href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#a41c70cddac8238f49b6afde03fe22102">stan::VectorBuilderHelper&lt; T1, true, true &gt;::VectorBuilderHelper</a></div><div class="ttdeci">VectorBuilderHelper(size_t n)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2_vector_builder_helper_8hpp_source.html#l00018">VectorBuilderHelper.hpp:18</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4_html_aa4b5a3d0c5909b57772914bbdeac3143"><div class="ttname"><a href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#aa4b5a3d0c5909b57772914bbdeac3143">stan::VectorBuilderHelper&lt; T1, true, true &gt;::data</a></div><div class="ttdeci">type &amp; data()</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2_vector_builder_helper_8hpp_source.html#l00026">VectorBuilderHelper.hpp:26</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</a></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_c573dec0eb9ab693199c7f09a7e778ee.html">arr</a></li><li class="navelem"><a class="el" href="dir_a6b1250f073d86cba6f454ffcb875238.html">meta</a></li>  </ul>
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+<a href="arr_2meta_2_vector_view_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_ARR_SCAL_META_VECTORVIEW_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_ARR_SCAL_META_VECTORVIEW_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00010"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html">   10</a></span>&#160;  <span class="keyword">class </span><a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;<a class="code" href="namespacestd.html">std</a>::vector&lt;T&gt;, true, false&gt; {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00012"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a32896ea25017adc3fbe970f572192427">   12</a></span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">scalar_type&lt;T&gt;::type</a> <a class="code" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a32896ea25017adc3fbe970f572192427">scalar_t</a>;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> X&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a675c42a2e8eb2944f62c0fe92eb4e661">   15</a></span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a675c42a2e8eb2944f62c0fe92eb4e661">VectorView</a>(X&amp; x) : x_(&amp;x[0]) { }</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afbe613678e5454e51431068c7a7511d5">   17</a></span>&#160;    scalar_t&amp; <a class="code" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afbe613678e5454e51431068c7a7511d5">operator[]</a>(<span class="keywordtype">int</span> i) {</div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    }</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">private</span>:</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    scalar_t* x_;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  };</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html">   26</a></span>&#160;  <span class="keyword">class </span><a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;const <a class="code" href="namespacestd.html">std</a>::vector&lt;T&gt;, true, false&gt; {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::add_const&lt;typename scalar_type&lt;T&gt;::type&gt;::type</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afa365ca621bbf40cffac55954615d253">   29</a></span>&#160;    <a class="code" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afa365ca621bbf40cffac55954615d253">scalar_t</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> X&gt;</div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#ad2e1b08ed0622b2446a4629cd7f281a1">   32</a></span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#ad2e1b08ed0622b2446a4629cd7f281a1">VectorView</a>(X&amp; x) : x_(&amp;x[0]) { }</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a96ff41819584bd17c65d65820cd5fb82">   34</a></span>&#160;    <a class="code" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afa365ca621bbf40cffac55954615d253">scalar_t</a>&amp; <a class="code" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a96ff41819584bd17c65d65820cd5fb82">operator[]</a>(<span class="keywordtype">int</span> i)<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordflow">return</span> x_[i];</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    }</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;  <span class="keyword">private</span>:</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <a class="code" href="classstan_1_1_vector_view.html#a06b2274769a1633467873f763d6d37b6">scalar_t</a>* x_;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  };</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;}</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4_html_afbe613678e5454e51431068c7a7511d5"><div class="ttname"><a href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afbe613678e5454e51431068c7a7511d5">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;::operator[]</a></div><div class="ttdeci">scalar_t &amp; operator[](int i)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2_vector_view_8hpp_source.html#l00017">VectorView.hpp:17</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html_a06b2274769a1633467873f763d6d37b6"><div class="ttname"><a href="classstan_1_1_vector_view.html#a06b2274769a1633467873f763d6d37b6">stan::VectorView::scalar_t</a></div><div class="ttdeci">boost::conditional&lt; boost::is_const&lt; T &gt;::value, typename boost::add_const&lt; typename scalar_type&lt; T &gt;::type &gt;::type, typename scalar_type&lt; T &gt;::type &gt;::type scalar_t</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00054">VectorView.hpp:54</a></div></div>
+<div class="ttc" id="structstan_1_1scalar__type_html_aa9068e42d81d7091f822df126fe932b7"><div class="ttname"><a href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">stan::scalar_type::type</a></div><div class="ttdeci">scalar_type_helper&lt; is_vector&lt; T &gt;::value, T &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2scalar__type_8hpp_source.html#l00035">scalar_type.hpp:35</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4_html_ad2e1b08ed0622b2446a4629cd7f281a1"><div class="ttname"><a href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#ad2e1b08ed0622b2446a4629cd7f281a1">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;::VectorView</a></div><div class="ttdeci">VectorView(X &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2_vector_view_8hpp_source.html#l00032">VectorView.hpp:32</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4_html_a96ff41819584bd17c65d65820cd5fb82"><div class="ttname"><a href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a96ff41819584bd17c65d65820cd5fb82">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;::operator[]</a></div><div class="ttdeci">scalar_t &amp; operator[](int i) const </div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2_vector_view_8hpp_source.html#l00034">VectorView.hpp:34</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4_html_a675c42a2e8eb2944f62c0fe92eb4e661"><div class="ttname"><a href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a675c42a2e8eb2944f62c0fe92eb4e661">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;::VectorView</a></div><div class="ttdeci">VectorView(X &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2_vector_view_8hpp_source.html#l00015">VectorView.hpp:15</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4_html_afa365ca621bbf40cffac55954615d253"><div class="ttname"><a href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afa365ca621bbf40cffac55954615d253">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;::scalar_t</a></div><div class="ttdeci">boost::add_const&lt; typename scalar_type&lt; T &gt;::type &gt;::type scalar_t</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2_vector_view_8hpp_source.html#l00029">VectorView.hpp:29</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4_html_a32896ea25017adc3fbe970f572192427"><div class="ttname"><a href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a32896ea25017adc3fbe970f572192427">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;::scalar_t</a></div><div class="ttdeci">scalar_type&lt; T &gt;::type scalar_t</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2_vector_view_8hpp_source.html#l00012">VectorView.hpp:12</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2container__view_8hpp_source.html">stan/math/prim/scal/meta/container_view.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template specialization for scalar view of array y with scalar type T2 with proper indexing inferred from input vector x of scalar type T1.  <a href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#details">More...</a><br /></td></tr>
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+<a href="arr_2meta_2container__view_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_META_CONTAINER_VIEW_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_META_CONTAINER_VIEW_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2container__view_8hpp.html">stan/math/prim/scal/meta/container_view.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html">   20</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1container__view.html">container_view</a>&lt;<a class="code" href="namespacestd.html">std</a>::vector&lt;T1&gt;, T2&gt; {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">public</span>:</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    };</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;}</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4_html_ae8c8f2d62c4841ca458580c2af67505f"><div class="ttname"><a href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#ae8c8f2d62c4841ca458580c2af67505f">stan::math::container_view&lt; std::vector&lt; T1 &gt;, T2 &gt;::container_view</a></div><div class="ttdeci">container_view(const std::vector&lt; T1 &gt; &amp;x, T2 *y)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2container__view_8hpp_source.html#l00028">container_view.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4_html_a4216d34813cec95c003ba84396fa104d"><div class="ttname"><a href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#a4216d34813cec95c003ba84396fa104d">stan::math::container_view&lt; std::vector&lt; T1 &gt;, T2 &gt;::operator[]</a></div><div class="ttdeci">T2 &amp; operator[](int i)</div><div class="ttdoc">operator[](int i) returns reference to scalar view indexed at i </div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2container__view_8hpp_source.html#l00037">container_view.hpp:37</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_html"><div class="ttname"><a href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a></div><div class="ttdoc">Primary template class for container view of array y with same structure as T1 and size as x...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2container__view_8hpp_source.html#l00022">container_view.hpp:22</a></div></div>
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+<div class="textblock"><code>#include &lt;cstdlib&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2index__type_8hpp_source.html">stan/math/prim/scal/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::index_type&lt; std::vector&lt; T &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram class to compute the type of index for a standard vector.  <a href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<a href="arr_2meta_2index__type_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_META_INDEX_TYPE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_META_INDEX_TYPE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2index__type_8hpp.html">stan/math/prim/scal/meta/index_type.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="scal_2meta_2index__type_8hpp_html"><div class="ttname"><a href="scal_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4_html_ababf4dcdf4c61050637f7a5efc94429c"><div class="ttname"><a href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#ababf4dcdf4c61050637f7a5efc94429c">stan::math::index_type&lt; std::vector&lt; T &gt; &gt;::type</a></div><div class="ttdeci">std::vector&lt; T &gt;::size_type type</div><div class="ttdoc">Typedef for index of standard vectors. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2index__type_8hpp_source.html#l00022">index_type.hpp:22</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="is__constant_8hpp_source.html">stan/math/prim/scal/meta/is_constant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+</div><!--header-->
+<div class="contents">
+<a href="arr_2meta_2is__constant__struct_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_META_IS_CONSTANT_STRUCT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_META_IS_CONSTANT_STRUCT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="is__constant_8hpp.html">stan/math/prim/scal/meta/is_constant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="structstan_1_1is__constant__struct_3_01std_1_1vector_3_01_t_01_4_01_4.html">   11</a></span>&#160;  <span class="keyword">struct </span><a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;<a class="code" href="namespacestd.html">std</a>::vector&lt;T&gt; &gt; {</div>
+<div class="line"><a name="l00012"></a><span class="lineno"><a class="line" href="structstan_1_1is__constant__struct_3_01std_1_1vector_3_01_t_01_4_01_4.html#a49ea631608da73ac9bcec0db98aeea9ea889b9838820d11325b1b1e2e6dcd1f62">   12</a></span>&#160;    <span class="keyword">enum</span> { <a class="code" href="structstan_1_1is__constant__struct.html#adaf287c8f806d2abdcc74c0ff74ff16da3f9610c0a10a3879fccf6f212dd3d411">value</a> = <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T&gt;::value</a> };</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  };</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;}</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#endif</span></div>
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+<a href="arr_2meta_2is__vector_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_META_IS_VECTOR_HPP</span></div>
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+<div class="textblock"><code>#include &lt;cstdlib&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="arr_2meta_2length_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:adb2e0700b1ec87a5e080cd50026b0182"><td class="memTemplItemLeft" align="right" valign="top">size_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a> (const std::vector&lt; T &gt; &amp;x)</td></tr>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00010"></a><span class="lineno"><a class="line" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">   10</a></span>&#160;  <span class="keywordtype">size_t</span> <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(<span class="keyword">const</span> std::vector&lt;T&gt;&amp; x) {</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2value__type_8hpp_source.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="arr_2meta_2value__type_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::value_type&lt; std::vector&lt; T &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram class to compute the type of values stored in a standard vector.  <a href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4_html_a98df9e1c73f191ad704b8e37a6a1ea23"><div class="ttname"><a href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#a98df9e1c73f191ad704b8e37a6a1ea23">stan::math::value_type&lt; std::vector&lt; T &gt; &gt;::type</a></div><div class="ttdeci">std::vector&lt; T &gt;::value_type type</div><div class="ttdoc">Type of value stored in a standard vector with type T entries. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2value__type_8hpp_source.html#l00022">value_type.hpp:22</a></div></div>
+<div class="ttc" id="scal_2meta_2value__type_8hpp_html"><div class="ttname"><a href="scal_2meta_2value__type_8hpp.html">value_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1value__type_html"><div class="ttname"><a href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a></div><div class="ttdoc">Primary template class for metaprogram to compute the type of values stored in a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2value__type_8hpp_source.html#l00018">value_type.hpp:18</a></div></div>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Structure for building up arrays in an expression (rather than in statements) using an argumentchaining <a class="el" href="structstan_1_1math_1_1array__builder.html#a085e0190d7a41c4e33bfa9f542b1d62a">add()</a> method and a getter method <a class="el" href="structstan_1_1math_1_1array__builder.html#a725410c59aa282c6b23c52fd252aa1a3">array()</a> to return the result.  <a href="structstan_1_1math_1_1array__builder.html#details">More...</a><br /></td></tr>
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+<div class="title">assign.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="invalid__argument_8hpp_source.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__dims_8hpp_source.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</code><br />
+<code>#include &lt;iostream&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="assign_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aa8f00af063b839677434c6a0f92629a3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa8f00af063b839677434c6a0f92629a3">stan::math::print_mat_size</a> (int n, std::ostream &amp;o)</td></tr>
+<tr class="memdesc:aa8f00af063b839677434c6a0f92629a3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Helper function to return the matrix size as either "dynamic" or "1".  <a href="namespacestan_1_1math.html#aa8f00af063b839677434c6a0f92629a3">More...</a><br /></td></tr>
+<tr class="separator:aa8f00af063b839677434c6a0f92629a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5f394c15ea3eb97743382631f91801cf"><td class="memTemplParams" colspan="2">template&lt;typename LHS , typename RHS &gt; </td></tr>
+<tr class="memitem:a5f394c15ea3eb97743382631f91801cf"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5f394c15ea3eb97743382631f91801cf">stan::math::assign</a> (LHS &amp;lhs, const RHS &amp;rhs)</td></tr>
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+<tr class="separator:a5f394c15ea3eb97743382631f91801cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5371f0f914e9b79a0700577e5557c0b7"><td class="memTemplParams" colspan="2">template&lt;typename LHS , typename RHS , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="memdesc:a5371f0f914e9b79a0700577e5557c0b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy the right-hand side's value to the left-hand side variable.  <a href="namespacestan_1_1math.html#a5371f0f914e9b79a0700577e5557c0b7">More...</a><br /></td></tr>
+<tr class="separator:a5371f0f914e9b79a0700577e5557c0b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0a80c719463c4e3caa03df731e2c2cb9"><td class="memTemplParams" colspan="2">template&lt;typename LHS , typename RHS , int R, int C&gt; </td></tr>
+<tr class="memitem:a0a80c719463c4e3caa03df731e2c2cb9"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0a80c719463c4e3caa03df731e2c2cb9">stan::math::assign</a> (Eigen::Matrix&lt; LHS, R, C &gt; &amp;x, const Eigen::Matrix&lt; RHS, R, C &gt; &amp;y)</td></tr>
+<tr class="memdesc:a0a80c719463c4e3caa03df731e2c2cb9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy the right-hand side's value to the left-hand side variable.  <a href="namespacestan_1_1math.html#a0a80c719463c4e3caa03df731e2c2cb9">More...</a><br /></td></tr>
+<tr class="separator:a0a80c719463c4e3caa03df731e2c2cb9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa4af3a90ad3b5ec1507dfc1823fdb8da"><td class="memTemplParams" colspan="2">template&lt;typename LHS , typename RHS , int R, int C&gt; </td></tr>
+<tr class="memitem:aa4af3a90ad3b5ec1507dfc1823fdb8da"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa4af3a90ad3b5ec1507dfc1823fdb8da">stan::math::assign</a> (Eigen::Block&lt; LHS &gt; x, const Eigen::Matrix&lt; RHS, R, C &gt; &amp;y)</td></tr>
+<tr class="memdesc:aa4af3a90ad3b5ec1507dfc1823fdb8da"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy the right-hand side's value to the left-hand side variable.  <a href="namespacestan_1_1math.html#aa4af3a90ad3b5ec1507dfc1823fdb8da">More...</a><br /></td></tr>
+<tr class="separator:aa4af3a90ad3b5ec1507dfc1823fdb8da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2c6dec98c71fd478c2ee16bc274b464d"><td class="memTemplParams" colspan="2">template&lt;typename LHS , typename RHS &gt; </td></tr>
+<tr class="memitem:a2c6dec98c71fd478c2ee16bc274b464d"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2c6dec98c71fd478c2ee16bc274b464d">stan::math::assign</a> (std::vector&lt; LHS &gt; &amp;x, const std::vector&lt; RHS &gt; &amp;y)</td></tr>
+<tr class="memdesc:a2c6dec98c71fd478c2ee16bc274b464d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy the right-hand side's value to the left-hand side variable.  <a href="namespacestan_1_1math.html#a2c6dec98c71fd478c2ee16bc274b464d">More...</a><br /></td></tr>
+<tr class="separator:a2c6dec98c71fd478c2ee16bc274b464d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">assign.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="assign_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_ASSIGN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_ASSIGN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="invalid__argument_8hpp.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__sizes_8hpp.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__dims_8hpp.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;iostream&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;sstream&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa8f00af063b839677434c6a0f92629a3">   26</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#aa8f00af063b839677434c6a0f92629a3">print_mat_size</a>(<span class="keywordtype">int</span> n, std::ostream&amp; o) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keywordflow">if</span> (n == Eigen::Dynamic)</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        o &lt;&lt; <span class="stringliteral">&quot;dynamically sized&quot;</span>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        o &lt;&lt; n;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="comment">// Recursive assignment with size match checking and promotion</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> LHS, <span class="keyword">typename</span> RHS&gt;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">void</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5f394c15ea3eb97743382631f91801cf">   51</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a5f394c15ea3eb97743382631f91801cf">assign</a>(LHS&amp; lhs, <span class="keyword">const</span> RHS&amp; rhs) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      lhs = rhs;</div>
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+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
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+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">void</span></div>
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+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      ss &lt;&lt; <span class="stringliteral">&quot;; right-hand side cols=&quot;</span>;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa8f00af063b839677434c6a0f92629a3">print_mat_size</a>(C2, ss);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      std::string ss_str(ss.str());</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">invalid_argument</a>(<span class="stringliteral">&quot;assign(Eigen::Matrix, Eigen::Matrix)&quot;</span>,</div>
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+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
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+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;           <span class="keyword">const</span> Eigen::Matrix&lt;RHS, R, C&gt;&amp; y) {</div>
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+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;                                      <span class="stringliteral">&quot;right-hand-side&quot;</span>, y);</div>
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+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="mean_8hpp_source.html">stan/math/prim/mat/fun/mean.hpp</a>&gt;</code><br />
+<code>#include &lt;unsupported/Eigen/FFT&gt;</code><br />
+<code>#include &lt;complex&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="autocorrelation_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:afd7c65ea100e48abc72f3c1e96fcdbe9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:afd7c65ea100e48abc72f3c1e96fcdbe9"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afd7c65ea100e48abc72f3c1e96fcdbe9">stan::math::autocorrelation</a> (const std::vector&lt; T &gt; &amp;y, std::vector&lt; T &gt; &amp;ac, Eigen::FFT&lt; T &gt; &amp;fft)</td></tr>
+<tr class="memdesc:afd7c65ea100e48abc72f3c1e96fcdbe9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write autocorrelation estimates for every lag for the specified input sequence into the specified result using the specified FFT engine.  <a href="namespacestan_1_1math.html#afd7c65ea100e48abc72f3c1e96fcdbe9">More...</a><br /></td></tr>
+<tr class="separator:afd7c65ea100e48abc72f3c1e96fcdbe9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a999404b2520dcd466c62c6ba3ca61f89"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a999404b2520dcd466c62c6ba3ca61f89"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a999404b2520dcd466c62c6ba3ca61f89">stan::math::autocorrelation</a> (const std::vector&lt; T &gt; &amp;y, std::vector&lt; T &gt; &amp;ac)</td></tr>
+<tr class="memdesc:a999404b2520dcd466c62c6ba3ca61f89"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write autocorrelation estimates for every lag for the specified input sequence into the specified result.  <a href="namespacestan_1_1math.html#a999404b2520dcd466c62c6ba3ca61f89">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_5ad826fc69c5de8867ad775040807419.html">fun</a></li>  </ul>
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+<div class="title">autocorrelation.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="autocorrelation_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_AUTOCORRELATION_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_AUTOCORRELATION_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mean_8hpp.html">stan/math/prim/mat/fun/mean.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;unsupported/Eigen/FFT&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;complex&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keywordtype">size_t</span> fft_next_good_size(<span class="keywordtype">size_t</span> N) {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        <span class="keywordflow">if</span> (N &lt;= 2) <span class="keywordflow">return</span> 2;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <span class="keywordflow">while</span> (<span class="keyword">true</span>) {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;          <span class="keywordtype">size_t</span> m = N;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;          <span class="keywordflow">while</span> ((m % 2) == 0) m /= 2;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;          <span class="keywordflow">while</span> ((m % 3) == 0) m /= 3;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;          <span class="keywordflow">while</span> ((m % 5) == 0) m /= 5;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;          <span class="keywordflow">if</span> (m &lt;= 1)</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;            <span class="keywordflow">return</span> N;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;          N++;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      }</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afd7c65ea100e48abc72f3c1e96fcdbe9">   54</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#afd7c65ea100e48abc72f3c1e96fcdbe9">autocorrelation</a>(<span class="keyword">const</span> std::vector&lt;T&gt;&amp; y,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                         std::vector&lt;T&gt;&amp; ac,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                         Eigen::FFT&lt;T&gt;&amp; fft) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> std::vector;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> std::complex;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keywordtype">size_t</span> N = y.size();</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordtype">size_t</span> M = fft_next_good_size(N);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordtype">size_t</span> Mt2 = 2 * M;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      vector&lt;complex&lt;T&gt; &gt; freqvec;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// centered_signal = y-mean(y) followed by N zeroes</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      vector&lt;T&gt; centered_signal(y);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      centered_signal.insert(centered_signal.end(), Mt2-N, 0.0);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      T <a class="code" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">mean</a> = <a class="code" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">stan::math::mean</a>(y);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++)</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        centered_signal[i] -= mean;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      fft.fwd(freqvec, centered_signal);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; Mt2; ++i)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        freqvec[i] = complex&lt;T&gt;(norm(freqvec[i]), 0.0);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      fft.inv(ac, freqvec);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      ac.resize(N);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="comment">/*</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="comment">      vector&lt;T&gt; mask_correction_factors;</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<span class="comment">      vector&lt;T&gt; mask;</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="comment">      mask.insert(mask.end(), N, 1.0);</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="comment">      mask.insert(mask.end(), N, 0.0);</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="comment"></span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="comment">      freqvec.resize(0);</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="comment">      fft.fwd(freqvec, mask);</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="comment">      for (size_t i = 0; i &lt; Nt2; ++i)</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="comment">        freqvec[i] = complex&lt;T&gt;(norm(freqvec[i]), 0.0);</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="comment"></span></div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="comment">      fft.inv(mask_correction_factors, freqvec);</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="comment"></span></div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;<span class="comment">      for (size_t i = 0; i &lt; N; ++i) {</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="comment">        ac[i] /= mask_correction_factors[i];</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="comment">      }</span></div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="comment">      */</span></div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; ++i) {</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        ac[i] /= (N - i);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      }</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      T <a class="code" href="classstan_1_1math_1_1var.html">var</a> = ac[0];</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; ++i)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        ac[i] /= var;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    }</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a999404b2520dcd466c62c6ba3ca61f89">  123</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#afd7c65ea100e48abc72f3c1e96fcdbe9">autocorrelation</a>(<span class="keyword">const</span> std::vector&lt;T&gt;&amp; y,</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                         std::vector&lt;T&gt;&amp; ac) {</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      Eigen::FFT&lt;T&gt; fft;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#afd7c65ea100e48abc72f3c1e96fcdbe9">autocorrelation</a>(y, ac, fft);</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    }</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  }</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;}</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="mean_8hpp_html"><div class="ttname"><a href="mean_8hpp.html">mean.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3443c4ac994b039a7f055c55c5afa8a3"><div class="ttname"><a href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">stan::math::mean</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T &gt;::type mean(const std::vector&lt; T &gt; &amp;v)</div><div class="ttdoc">Returns the sample mean (i.e., average) of the coefficients in the specified standard vector...</div><div class="ttdef"><b>Definition:</b> <a href="mean_8hpp_source.html#l00023">mean.hpp:23</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_afd7c65ea100e48abc72f3c1e96fcdbe9"><div class="ttname"><a href="namespacestan_1_1math.html#afd7c65ea100e48abc72f3c1e96fcdbe9">stan::math::autocorrelation</a></div><div class="ttdeci">void autocorrelation(const std::vector&lt; T &gt; &amp;y, std::vector&lt; T &gt; &amp;ac, Eigen::FFT&lt; T &gt; &amp;fft)</div><div class="ttdoc">Write autocorrelation estimates for every lag for the specified input sequence into the specified res...</div><div class="ttdef"><b>Definition:</b> <a href="autocorrelation_8hpp_source.html#l00054">autocorrelation.hpp:54</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="autocorrelation_8hpp_source.html">stan/math/prim/mat/fun/autocorrelation.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2variance_8hpp_source.html">stan/math/prim/mat/fun/variance.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="autocovariance_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aab515e37311a3070dbc66e69d31359a5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aab515e37311a3070dbc66e69d31359a5"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aab515e37311a3070dbc66e69d31359a5">stan::math::autocovariance</a> (const std::vector&lt; T &gt; &amp;y, std::vector&lt; T &gt; &amp;acov, Eigen::FFT&lt; T &gt; &amp;fft)</td></tr>
+<tr class="memdesc:aab515e37311a3070dbc66e69d31359a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write autocovariance estimates for every lag for the specified input sequence into the specified result using the specified FFT engine.  <a href="namespacestan_1_1math.html#aab515e37311a3070dbc66e69d31359a5">More...</a><br /></td></tr>
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+<tr class="memitem:acdfe56505f9cbe96a18fc00f76fe79fd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:acdfe56505f9cbe96a18fc00f76fe79fd"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acdfe56505f9cbe96a18fc00f76fe79fd">stan::math::autocovariance</a> (const std::vector&lt; T &gt; &amp;y, std::vector&lt; T &gt; &amp;acov)</td></tr>
+<tr class="memdesc:acdfe56505f9cbe96a18fc00f76fe79fd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write autocovariance estimates for every lag for the specified input sequence into the specified result.  <a href="namespacestan_1_1math.html#acdfe56505f9cbe96a18fc00f76fe79fd">More...</a><br /></td></tr>
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+<a href="autocovariance_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_AUTOCOVARIANCE_HPP</span></div>
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+<div class="ttc" id="autocorrelation_8hpp_html"><div class="ttname"><a href="autocorrelation_8hpp.html">autocorrelation.hpp</a></div></div>
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+<a href="autodiffstackstorage_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_AUTODIFFSTACKSTORAGE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_AUTODIFFSTACKSTORAGE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="stack__alloc_8hpp.html">stan/math/memory/stack_alloc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> ChainableT,</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/bernoulli_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="bernoulli__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<a href="bernoulli__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/bernoulli_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9d8811804a3bb9a9cd943422ce3938db">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9d8811804a3bb9a9cd943422ce3938db">bernoulli_ccdf_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_prob&amp; theta) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::bernoulli_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_prob&gt;::type</a></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="comment">// Ensure non-zero argument lenghts</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(theta)))</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta, 0.0, 1.0);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                             <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_prob&gt;</a> theta_vec(theta);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, theta);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_prob&gt;</a> operands_and_partials(theta);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &gt;= 1) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          <span class="keyword">const</span> T_partials_return Pi = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta_vec[i]);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pi);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] += 1 / Pi;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      }</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    }</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;}</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9d8811804a3bb9a9cd943422ce3938db"><div class="ttname"><a href="namespacestan_1_1math.html#a9d8811804a3bb9a9cd943422ce3938db">stan::math::bernoulli_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_prob &gt;::type bernoulli_ccdf_log(const T_n &amp;n, const T_prob &amp;theta)</div><div class="ttdef"><b>Definition:</b> <a href="bernoulli__ccdf__log_8hpp_source.html#l00026">bernoulli_ccdf_log.hpp:26</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/bernoulli_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="bernoulli__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a0b80aeaa1cc10d315d915aba2ddc6180"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_prob &gt; </td></tr>
+<tr class="memitem:a0b80aeaa1cc10d315d915aba2ddc6180"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0b80aeaa1cc10d315d915aba2ddc6180">stan::math::bernoulli_cdf</a> (const T_n &amp;n, const T_prob &amp;theta)</td></tr>
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+<a href="bernoulli__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/bernoulli_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="comment">// Bernoulli CDF</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0b80aeaa1cc10d315d915aba2ddc6180">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0b80aeaa1cc10d315d915aba2ddc6180">bernoulli_cdf</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_prob&amp; theta) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::bernoulli_cdf&quot;</span>);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_prob&gt;::type</a></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="comment">// Ensure non-zero argument lenghts</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(theta)))</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta, 0.0, 1.0);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                             <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_prob&gt;</a> theta_vec(theta);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, theta);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_prob&gt;</a> operands_and_partials(theta);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      }</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &gt;= 1)</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = 1 - <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta_vec[i]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        P *= Pi;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] += - 1 / Pi;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      }</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>) {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(theta); ++i)</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] *= P;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      }</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;  }  <span class="comment">// namespace math</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;}  <span class="comment">// namespace stan</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0b80aeaa1cc10d315d915aba2ddc6180"><div class="ttname"><a href="namespacestan_1_1math.html#a0b80aeaa1cc10d315d915aba2ddc6180">stan::math::bernoulli_cdf</a></div><div class="ttdeci">return_type&lt; T_prob &gt;::type bernoulli_cdf(const T_n &amp;n, const T_prob &amp;theta)</div><div class="ttdef"><b>Definition:</b> <a href="bernoulli__cdf_8hpp_source.html#l00026">bernoulli_cdf.hpp:26</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__logit_8hpp.html">inv_logit.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/bernoulli_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="bernoulli__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac569e9e067f4d61280974e9a54ac6476"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_prob &gt; </td></tr>
+<tr class="memitem:ac569e9e067f4d61280974e9a54ac6476"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac569e9e067f4d61280974e9a54ac6476">stan::math::bernoulli_cdf_log</a> (const T_n &amp;n, const T_prob &amp;theta)</td></tr>
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+<a href="bernoulli__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/bernoulli_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac569e9e067f4d61280974e9a54ac6476">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ac569e9e067f4d61280974e9a54ac6476">bernoulli_cdf_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_prob&amp; theta) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::bernoulli_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_prob&gt;::type</a></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="comment">// Ensure non-zero argument lenghts</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(theta)))</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta, 0.0, 1.0);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                             <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_prob&gt;</a> theta_vec(theta);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, theta);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_prob&gt;</a> operands_and_partials(theta);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &gt;= 1)</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = 1 - <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta_vec[i]);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pi);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] -= 1 / Pi;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;}</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac569e9e067f4d61280974e9a54ac6476"><div class="ttname"><a href="namespacestan_1_1math.html#ac569e9e067f4d61280974e9a54ac6476">stan::math::bernoulli_cdf_log</a></div><div class="ttdeci">return_type&lt; T_prob &gt;::type bernoulli_cdf_log(const T_n &amp;n, const T_prob &amp;theta)</div><div class="ttdef"><b>Definition:</b> <a href="bernoulli__cdf__log_8hpp_source.html#l00026">bernoulli_cdf_log.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/bernoulli_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="bernoulli__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a3e360bb277db7a3318c1c368dbccdda8"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_n , typename T_prob &gt; </td></tr>
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+<tr class="separator:a3e360bb277db7a3318c1c368dbccdda8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a075f08b1d99b150b64d851139be35894"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_prob &gt; </td></tr>
+<tr class="memitem:a075f08b1d99b150b64d851139be35894"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a075f08b1d99b150b64d851139be35894">stan::math::bernoulli_log</a> (const T_y &amp;n, const T_prob &amp;theta)</td></tr>
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+<a href="bernoulli__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/bernoulli_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="comment">// Bernoulli(n|theta)   [0 &lt;= n &lt;= 1;   0 &lt;= theta &lt;= 1]</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="comment">// FIXME: documentation</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto, <span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3e360bb277db7a3318c1c368dbccdda8">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a3e360bb277db7a3318c1c368dbccdda8">bernoulli_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                  <span class="keyword">const</span> T_prob&amp; theta) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::bernoulli_log&quot;</span>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_prob&gt;::type</a></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(theta)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;n&quot;</span>, n, 0, 1);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta, 0.0, 1.0);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_prob&gt;</a> theta_vec(theta);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, theta);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_prob&gt;</a> operands_and_partials(theta);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(theta) == 1) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a> = 0;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;          sum += <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        }</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> T_partials_return theta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta_vec[0]);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="comment">// avoid nans when sum == N or sum == 0</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">if</span> (sum == N) {</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          logp += N * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(theta_dbl);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[0] += N / theta_dbl;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (sum == 0) {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          logp += N * <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(theta_dbl);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[0] += N / (theta_dbl - 1);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          <span class="keyword">const</span> T_partials_return log_theta = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(theta_dbl);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          <span class="keyword">const</span> T_partials_return log1m_theta = <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(theta_dbl);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          logp += sum * log_theta;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          logp += (N - <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>) * log1m_theta;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          <span class="comment">// gradient</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>) {</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[0] += sum / theta_dbl;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[0] += (N - <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>) / (theta_dbl - 1);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        }</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          <span class="comment">// pull out values of arguments</span></div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;          <span class="keyword">const</span> <span class="keywordtype">int</span> n_int = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[n]);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          <span class="keyword">const</span> T_partials_return theta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta_vec[n]);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          <span class="keywordflow">if</span> (n_int == 1)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;            logp += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(theta_dbl);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;            logp += <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(theta_dbl);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          <span class="comment">// gradient</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>) {</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            <span class="keywordflow">if</span> (n_int == 1)</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;              operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += 1.0 / theta_dbl;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;              operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += 1.0 / (theta_dbl - 1);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          }</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        }</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      }</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    }</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_prob&gt;::type</a></div>
+<div class="line"><a name="l00122"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a075f08b1d99b150b64d851139be35894">  122</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a3e360bb277db7a3318c1c368dbccdda8">bernoulli_log</a>(<span class="keyword">const</span> T_y&amp; n,</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                  <span class="keyword">const</span> T_prob&amp; theta) {</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      <span class="keywordflow">return</span> bernoulli_log&lt;false&gt;(n, theta);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    }</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;  }  <span class="comment">// namespace math</span></div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;}  <span class="comment">// namespace stan</span></div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a3e360bb277db7a3318c1c368dbccdda8"><div class="ttname"><a href="namespacestan_1_1math.html#a3e360bb277db7a3318c1c368dbccdda8">stan::math::bernoulli_log</a></div><div class="ttdeci">return_type&lt; T_prob &gt;::type bernoulli_log(const T_n &amp;n, const T_prob &amp;theta)</div><div class="ttdef"><b>Definition:</b> <a href="bernoulli__log_8hpp_source.html#l00028">bernoulli_log.hpp:28</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__logit_8hpp.html">inv_logit.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="title">bernoulli_logit_log.hpp File Reference</div>  </div>
+</div><!--header-->
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/bernoulli_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="bernoulli__logit__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aa9048a0a4bd452c7e797cb5a496b0b97"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_n , typename T_prob &gt; </td></tr>
+<tr class="memitem:aa9048a0a4bd452c7e797cb5a496b0b97"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa9048a0a4bd452c7e797cb5a496b0b97">stan::math::bernoulli_logit_log</a> (const T_n &amp;n, const T_prob &amp;theta)</td></tr>
+<tr class="separator:aa9048a0a4bd452c7e797cb5a496b0b97"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a193781437c0aa1a48fe48b24d9ae8130"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_prob &gt; </td></tr>
+<tr class="memitem:a193781437c0aa1a48fe48b24d9ae8130"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a193781437c0aa1a48fe48b24d9ae8130">stan::math::bernoulli_logit_log</a> (const T_n &amp;n, const T_prob &amp;theta)</td></tr>
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+<div class="title">bernoulli_logit_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="bernoulli__logit__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_LOGIT_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_LOGIT_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/bernoulli_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="comment">// Bernoulli(n|inv_logit(theta))   [0 &lt;= n &lt;= 1;   -inf &lt;= theta &lt;= inf]</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="comment">// FIXME: documentation</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto, <span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa9048a0a4bd452c7e797cb5a496b0b97">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa9048a0a4bd452c7e797cb5a496b0b97">bernoulli_logit_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_prob&amp; theta) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::bernoulli_logit_log&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_prob&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">stan::math::log1p</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(theta)))</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;n&quot;</span>, n, 0, 1);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Logit transformed probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_prob&gt;</a> theta_vec(theta);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, theta);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_prob&gt;</a> operands_and_partials(theta);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="comment">// pull out values of arguments</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">int</span> n_int = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[n]);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return theta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="comment">// reusable subexpression values</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#ad825f81b97ddf0b2e1217f30913559a3">sign</a> = 2*n_int-1;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keyword">const</span> T_partials_return ntheta = sign * theta_dbl;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keyword">const</span> T_partials_return exp_m_ntheta = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-ntheta);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="comment">// Handle extreme values gracefully using Taylor approximations.</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> cutoff = 20.0;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">if</span> (ntheta &gt; cutoff)</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          logp -= exp_m_ntheta;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ntheta &lt; -cutoff)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          logp += ntheta;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          logp -= <a class="code" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">log1p</a>(exp_m_ntheta);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> cutoff = 20.0;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          <span class="keywordflow">if</span> (ntheta &gt; cutoff)</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= exp_m_ntheta;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          <span class="keywordflow">else</span> <span class="keywordflow">if</span> (ntheta &lt; -cutoff)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += <a class="code" href="namespacestan_1_1math.html#ad825f81b97ddf0b2e1217f30913559a3">sign</a>;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += sign * exp_m_ntheta</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;              / (exp_m_ntheta + 1);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      }</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    }</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n,</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;              <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_prob&gt;::type</a></div>
+<div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a193781437c0aa1a48fe48b24d9ae8130">  106</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa9048a0a4bd452c7e797cb5a496b0b97">bernoulli_logit_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                        <span class="keyword">const</span> T_prob&amp; theta) {</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordflow">return</span> bernoulli_logit_log&lt;false&gt;(n, theta);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    }</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  }  <span class="comment">// namespace math</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;}  <span class="comment">// namespace stan</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad825f81b97ddf0b2e1217f30913559a3"><div class="ttname"><a href="namespacestan_1_1math.html#ad825f81b97ddf0b2e1217f30913559a3">stan::math::sign</a></div><div class="ttdeci">int sign(const T &amp;z)</div><div class="ttdef"><b>Definition:</b> <a href="sign_8hpp_source.html#l00009">sign.hpp:9</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a76a22ee34432be58edb4b6ed9469370a"><div class="ttname"><a href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a></div><div class="ttdeci">fvar&lt; T &gt; inv_logit(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv__logit_8hpp_source.html#l00015">inv_logit.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa9048a0a4bd452c7e797cb5a496b0b97"><div class="ttname"><a href="namespacestan_1_1math.html#aa9048a0a4bd452c7e797cb5a496b0b97">stan::math::bernoulli_logit_log</a></div><div class="ttdeci">return_type&lt; T_prob &gt;::type bernoulli_logit_log(const T_n &amp;n, const T_prob &amp;theta)</div><div class="ttdef"><b>Definition:</b> <a href="bernoulli__logit__log_8hpp_source.html#l00028">bernoulli_logit_log.hpp:28</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa16e57e82fb1e17f74ef43592748ff32"><div class="ttname"><a href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">stan::math::log1p</a></div><div class="ttdeci">fvar&lt; T &gt; log1p(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1p_8hpp_source.html#l00016">log1p.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__logit_8hpp.html">inv_logit.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+<div class="textblock"><code>#include &lt;boost/random/bernoulli_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+<p><a href="bernoulli__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac46d3934578fb7346a900677a3e8c377"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:ac46d3934578fb7346a900677a3e8c377"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac46d3934578fb7346a900677a3e8c377">stan::math::bernoulli_rng</a> (const double theta, RNG &amp;rng)</td></tr>
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+<a href="bernoulli__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BERNOULLI_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/bernoulli_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac46d3934578fb7346a900677a3e8c377">   22</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ac46d3934578fb7346a900677a3e8c377">bernoulli_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> theta,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                  RNG&amp; rng) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> boost::bernoulli_distribution;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::bernoulli_rng&quot;</span>);</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
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+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta, 0, 1);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      variate_generator&lt;RNG&amp;, bernoulli_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <a class="code" href="namespacestan_1_1math.html#ac46d3934578fb7346a900677a3e8c377">bernoulli_rng</a>(rng, bernoulli_distribution&lt;&gt;(theta));</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#ac46d3934578fb7346a900677a3e8c377">bernoulli_rng</a>();</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;}</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac46d3934578fb7346a900677a3e8c377"><div class="ttname"><a href="namespacestan_1_1math.html#ac46d3934578fb7346a900677a3e8c377">stan::math::bernoulli_rng</a></div><div class="ttdeci">int bernoulli_rng(const double theta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="bernoulli__rng_8hpp_source.html#l00022">bernoulli_rng.hpp:22</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__rng_8hpp_source.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_f32_8hpp_source.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad___f32_8hpp_source.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="beta__binomial__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ab380fecf1c6c99b602f212cbccc28a83"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_N , typename T_size1 , typename T_size2 &gt; </td></tr>
+<tr class="memitem:ab380fecf1c6c99b602f212cbccc28a83"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_size1, T_size2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab380fecf1c6c99b602f212cbccc28a83">stan::math::beta_binomial_ccdf_log</a> (const T_n &amp;n, const T_N &amp;N, const T_size1 &amp;alpha, const T_size2 &amp;beta)</td></tr>
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+<a href="beta__binomial__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BETA_BINOMIAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BETA_BINOMIAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__rng_8hpp.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_f32_8hpp.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad___f32_8hpp.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_N,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;              <span class="keyword">typename</span> T_size1, <span class="keyword">typename</span> T_size2&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_size1, T_size2&gt;::type</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab380fecf1c6c99b602f212cbccc28a83">   30</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab380fecf1c6c99b602f212cbccc28a83">beta_binomial_ccdf_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_N&amp; N, <span class="keyword">const</span> T_size1&amp; alpha,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                           <span class="keyword">const</span> T_size2&amp; beta) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::beta_binomial_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_n, T_N, T_size1,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                                                  T_size2&gt;::type</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// Ensure non-zero argument lengths</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(N) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Population size parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                            <span class="stringliteral">&quot;First prior sample size parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                            <span class="stringliteral">&quot;Second prior sample size parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Successes variable&quot;</span>, n,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Population size parameter&quot;</span>, N,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;First prior sample size parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Second prior sample size parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// Wrap arguments in vector views</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_N&gt;</a> N_vec(N);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_size1&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_size2&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, N, alpha, beta);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_size1, T_size2&gt;</a></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        operands_and_partials(alpha, beta);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as neg infinity</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt;= 0)</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &gt;= <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i])) {</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return N_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keyword">const</span> T_partials_return mu = alpha_dbl + n_dbl + 1;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keyword">const</span> T_partials_return nu = beta_dbl + N_dbl - n_dbl - 1;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">const</span> T_partials_return F = <a class="code" href="namespacestan_1_1math.html#ada2421cf831c518a6260f60d19eb5c32">stan::math::F32</a>((T_partials_return)1, mu,</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                                                    -N_dbl + n_dbl + 1,</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                                                    n_dbl + 2, 1 - nu,</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                                                    (T_partials_return)1);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        T_partials_return C = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(nu) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(N_dbl - n_dbl);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        C += <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(mu) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(n_dbl + 2);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        C += <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(N_dbl + 2) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(N_dbl + alpha_dbl + beta_dbl);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        C = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(C);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        C *= F / <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(alpha_dbl, beta_dbl));</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        C /= N_dbl + 1;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = C;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pi);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        T_partials_return dF[6];</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        T_partials_return digammaOne = 0;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        T_partials_return digammaTwo = 0;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_size1, T_size2&gt;::value</a>) {</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          digammaOne = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(mu + nu);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          digammaTwo = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl + beta_dbl);</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;          <a class="code" href="namespacestan_1_1math.html#a02dd0b6c85425c2005e265d8e66852a8">stan::math::grad_F32</a>(dF, (T_partials_return)1, mu, -N_dbl + n_dbl + 1,</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                               n_dbl + 2, 1 - nu, (T_partials_return)1);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        }</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_size1&gt;::value</a>) {</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;          <span class="keyword">const</span> T_partials_return g</div>
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+<div class="ttc" id="_f32_8hpp_html"><div class="ttname"><a href="_f32_8hpp.html">F32.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="beta__rng_8hpp_html"><div class="ttname"><a href="beta__rng_8hpp.html">beta_rng.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="title">beta_binomial_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__rng_8hpp_source.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_f32_8hpp_source.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad___f32_8hpp_source.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="beta__binomial__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a6abc35510e01a52b5138a19bfedb2a3e"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_N , typename T_size1 , typename T_size2 &gt; </td></tr>
+<tr class="memitem:a6abc35510e01a52b5138a19bfedb2a3e"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_size1, T_size2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6abc35510e01a52b5138a19bfedb2a3e">stan::math::beta_binomial_cdf</a> (const T_n &amp;n, const T_N &amp;N, const T_size1 &amp;alpha, const T_size2 &amp;beta)</td></tr>
+<tr class="separator:a6abc35510e01a52b5138a19bfedb2a3e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">beta_binomial_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="beta__binomial__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BETA_BINOMIAL_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BETA_BINOMIAL_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__rng_8hpp.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_f32_8hpp.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad___f32_8hpp.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="comment">// Beta-Binomial CDF</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_N,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;              <span class="keyword">typename</span> T_size1, <span class="keyword">typename</span> T_size2&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_size1, T_size2&gt;::type</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6abc35510e01a52b5138a19bfedb2a3e">   31</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6abc35510e01a52b5138a19bfedb2a3e">beta_binomial_cdf</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_N&amp; N, <span class="keyword">const</span> T_size1&amp; alpha,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                      <span class="keyword">const</span> T_size2&amp; beta) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::beta_binomial_cdf&quot;</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_n, T_N, T_size1,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                                                  T_size2&gt;::type</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="comment">// Ensure non-zero argument lengths</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(N) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Population size parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                            <span class="stringliteral">&quot;First prior sample size parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                            <span class="stringliteral">&quot;Second prior sample size parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Successes variable&quot;</span>, n,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Population size parameter&quot;</span>, N,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;First prior sample size parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                             <span class="stringliteral">&quot;Second prior sample size parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// Wrap arguments in vector views</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_N&gt;</a> N_vec(N);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_size1&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_size2&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, N, alpha, beta);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_size1, T_size2&gt;</a></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        operands_and_partials(alpha, beta);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt;= 0)</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &gt;= <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i])) {</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return N_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keyword">const</span> T_partials_return mu = alpha_dbl + n_dbl + 1;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keyword">const</span> T_partials_return nu = beta_dbl + N_dbl - n_dbl - 1;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">const</span> T_partials_return F = <a class="code" href="namespacestan_1_1math.html#ada2421cf831c518a6260f60d19eb5c32">stan::math::F32</a>((T_partials_return)1, mu,</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                                                    -N_dbl + n_dbl + 1,</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                                                    n_dbl + 2, 1 - nu,</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                                                    (T_partials_return)1);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        T_partials_return C = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(nu) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(N_dbl - n_dbl);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        C += <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(mu) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(n_dbl + 2);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        C += <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(N_dbl + 2) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(N_dbl + alpha_dbl + beta_dbl);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        C = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(C);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        C *= F / <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(alpha_dbl, beta_dbl));</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        C /= N_dbl + 1;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = 1 - C;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        P *= Pi;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        T_partials_return dF[6];</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        T_partials_return digammaOne = 0;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        T_partials_return digammaTwo = 0;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_size1, T_size2&gt;::value</a>) {</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          digammaOne = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(mu + nu);</div>
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+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;          <a class="code" href="namespacestan_1_1math.html#a02dd0b6c85425c2005e265d8e66852a8">stan::math::grad_F32</a>(dF, (T_partials_return)1, mu, -N_dbl + n_dbl + 1,</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                               n_dbl + 2,</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                               1 - nu, (T_partials_return)1);</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        }</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_size1&gt;::value</a>) {</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;          <span class="keyword">const</span> T_partials_return g</div>
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+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                     - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl) + digammaTwo);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i]</div>
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+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        }</div>
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+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;          <span class="keyword">const</span> T_partials_return g</div>
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+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;                     + digammaTwo);</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[i]</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;            += g / Pi;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;        }</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      }</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div>
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+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); ++i)</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] *= P;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;      }</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_size2&gt;::value</a>) {</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta); ++i)</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[i] *= P;</div>
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+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;</div>
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+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    }</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;</div>
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+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;}</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
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+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
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+<div class="ttc" id="_f32_8hpp_html"><div class="ttname"><a href="_f32_8hpp.html">F32.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6abc35510e01a52b5138a19bfedb2a3e"><div class="ttname"><a href="namespacestan_1_1math.html#a6abc35510e01a52b5138a19bfedb2a3e">stan::math::beta_binomial_cdf</a></div><div class="ttdeci">return_type&lt; T_size1, T_size2 &gt;::type beta_binomial_cdf(const T_n &amp;n, const T_N &amp;N, const T_size1 &amp;alpha, const T_size2 &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="beta__binomial__cdf_8hpp_source.html#l00031">beta_binomial_cdf.hpp:31</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="beta__rng_8hpp_html"><div class="ttname"><a href="beta__rng_8hpp.html">beta_rng.hpp</a></div></div>
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+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="grad___f32_8hpp_html"><div class="ttname"><a href="grad___f32_8hpp.html">grad_F32.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">beta_binomial_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__rng_8hpp_source.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_f32_8hpp_source.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad___f32_8hpp_source.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="beta__binomial__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:adf2c63ba04c87c46bcb0db999d955e9b"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_N , typename T_size1 , typename T_size2 &gt; </td></tr>
+<tr class="memitem:adf2c63ba04c87c46bcb0db999d955e9b"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_size1, T_size2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adf2c63ba04c87c46bcb0db999d955e9b">stan::math::beta_binomial_cdf_log</a> (const T_n &amp;n, const T_N &amp;N, const T_size1 &amp;alpha, const T_size2 &amp;beta)</td></tr>
+<tr class="separator:adf2c63ba04c87c46bcb0db999d955e9b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">beta_binomial_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="beta__binomial__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BETA_BINOMIAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BETA_BINOMIAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__rng_8hpp.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_f32_8hpp.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad___f32_8hpp.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_N,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;              <span class="keyword">typename</span> T_size1, <span class="keyword">typename</span> T_size2&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_size1, T_size2&gt;::type</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#adf2c63ba04c87c46bcb0db999d955e9b">   30</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#adf2c63ba04c87c46bcb0db999d955e9b">beta_binomial_cdf_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_N&amp; N, <span class="keyword">const</span> T_size1&amp; alpha,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                          <span class="keyword">const</span> T_size2&amp; beta) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::beta_binomial_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_n, T_N, T_size1,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                                                  T_size2&gt;::type</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// Ensure non-zero argument lengths</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(N) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Population size parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                            <span class="stringliteral">&quot;First prior sample size parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                            <span class="stringliteral">&quot;Second prior sample size parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Successes variable&quot;</span>, n,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Population size parameter&quot;</span>, N,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;First prior sample size parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Second prior sample size parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// Wrap arguments in vector views</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_N&gt;</a> N_vec(N);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_size1&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_size2&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, N, alpha, beta);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_size1, T_size2&gt;</a></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        operands_and_partials(alpha, beta);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as neg infinity</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt;= 0)</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &gt;= <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i])) {</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return N_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keyword">const</span> T_partials_return mu = alpha_dbl + n_dbl + 1;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keyword">const</span> T_partials_return nu = beta_dbl + N_dbl - n_dbl - 1;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">const</span> T_partials_return F = <a class="code" href="namespacestan_1_1math.html#ada2421cf831c518a6260f60d19eb5c32">stan::math::F32</a>((T_partials_return)1, mu,</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                                                    -N_dbl + n_dbl + 1,</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                                                    n_dbl + 2, 1 - nu,</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                                                    (T_partials_return)1);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        T_partials_return C = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(nu) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(N_dbl - n_dbl);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        C += <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(mu) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(n_dbl + 2);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        C += <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(N_dbl + 2) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(N_dbl + alpha_dbl + beta_dbl);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        C = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(C);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        C *= F / <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(alpha_dbl, beta_dbl));</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        C /= N_dbl + 1;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = 1 - C;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pi);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        T_partials_return dF[6];</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        T_partials_return digammaOne = 0;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        T_partials_return digammaTwo = 0;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_size1, T_size2&gt;::value</a>) {</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          digammaOne = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(mu + nu);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          digammaTwo = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl + beta_dbl);</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;          <a class="code" href="namespacestan_1_1math.html#a02dd0b6c85425c2005e265d8e66852a8">stan::math::grad_F32</a>(dF, (T_partials_return)1, mu, -N_dbl + n_dbl + 1,</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                               n_dbl + 2, 1 - nu, (T_partials_return)1);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        }</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_size1&gt;::value</a>) {</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;          <span class="keyword">const</span> T_partials_return g</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            = - C * (<a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(mu) - digammaOne + dF[1] / F</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                     - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl) + digammaTwo);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] += g / Pi;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_size2&gt;::value</a>) {</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;          <span class="keyword">const</span> T_partials_return g</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;            = - C * (<a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(nu) - digammaOne - dF[4] / F - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(beta_dbl)</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                     + digammaTwo);</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[i] += g / Pi;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        }</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;      }</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;</div>
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+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    }</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  }</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;}</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aead76f03bdbc60484ad760fc31bad40f"><div class="ttname"><a href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a></div><div class="ttdeci">fvar&lt; T &gt; lgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">lgamma.hpp:15</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac51be9d210e223a8aa4241e2d725e295"><div class="ttname"><a href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a></div><div class="ttdeci">fvar&lt; T &gt; lbeta(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">lbeta.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_adf2c63ba04c87c46bcb0db999d955e9b"><div class="ttname"><a href="namespacestan_1_1math.html#adf2c63ba04c87c46bcb0db999d955e9b">stan::math::beta_binomial_cdf_log</a></div><div class="ttdeci">return_type&lt; T_size1, T_size2 &gt;::type beta_binomial_cdf_log(const T_n &amp;n, const T_N &amp;N, const T_size1 &amp;alpha, const T_size2 &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="beta__binomial__cdf__log_8hpp_source.html#l00030">beta_binomial_cdf_log.hpp:30</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
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+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">beta_binomial_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__rng_8hpp_source.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_f32_8hpp_source.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad___f32_8hpp_source.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</code><br />
+</div>
+<p><a href="beta__binomial__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a5c2462b112bf6512c4db7c6abea6478c"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_n , typename T_N , typename T_size1 , typename T_size2 &gt; </td></tr>
+<tr class="memitem:a5c2462b112bf6512c4db7c6abea6478c"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_size1, T_size2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5c2462b112bf6512c4db7c6abea6478c">stan::math::beta_binomial_log</a> (const T_n &amp;n, const T_N &amp;N, const T_size1 &amp;alpha, const T_size2 &amp;beta)</td></tr>
+<tr class="separator:a5c2462b112bf6512c4db7c6abea6478c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a48a71d6f54236310fba1a94b445272f3"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_size1, T_size2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a48a71d6f54236310fba1a94b445272f3">stan::math::beta_binomial_log</a> (const T_n &amp;n, const T_N &amp;N, const T_size1 &amp;alpha, const T_size2 &amp;beta)</td></tr>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">beta_binomial_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="beta__binomial__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BETA_BINOMIAL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BETA_BINOMIAL_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__rng_8hpp.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_f32_8hpp.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad___f32_8hpp.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="comment">// BetaBinomial(n|alpha, beta) [alpha &gt; 0;  beta &gt; 0;  n &gt;= 0]</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;              <span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_N,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;              <span class="keyword">typename</span> T_size1, <span class="keyword">typename</span> T_size2&gt;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_size1, T_size2&gt;::type</div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5c2462b112bf6512c4db7c6abea6478c">   32</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a5c2462b112bf6512c4db7c6abea6478c">beta_binomial_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                      <span class="keyword">const</span> T_N&amp; N,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                      <span class="keyword">const</span> T_size1&amp; alpha,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                      <span class="keyword">const</span> T_size2&amp; beta) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::beta_binomial_log&quot;</span>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_size1, T_size2&gt;::type</a></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(N)</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Population size parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                            <span class="stringliteral">&quot;First prior sample size parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                            <span class="stringliteral">&quot;Second prior sample size parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Successes variable&quot;</span>, n,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                             <span class="stringliteral">&quot;Population size parameter&quot;</span>, N,</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                             <span class="stringliteral">&quot;First prior sample size parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="stringliteral">&quot;Second prior sample size parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_size1, T_size2&gt;::value</a>)</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_size1, T_size2&gt;</a></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        operands_and_partials(alpha, beta);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_N&gt;</a> N_vec(N);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_size1&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_size2&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, N, alpha, beta);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">if</span> (n_vec[i] &lt; 0 || n_vec[i] &gt; N_vec[i])</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">stan::math::binomial_coefficient_log</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto&gt;::value</a>,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                    T_partials_return, T_n, T_N&gt;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        normalizing_constant(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(N, n));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(N, n); i++)</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          normalizing_constant[i]</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            = <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(N_vec[i], n_vec[i]);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_size1, T_size2&gt;::value</a>,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                    T_partials_return, T_n, T_N, T_size1, T_size2&gt;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        lbeta_numerator(size);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++)</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_size1, T_size2&gt;::value</a>)</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          lbeta_numerator[i] = <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(n_vec[i] + <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]),</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                                     N_vec[i] - n_vec[i]</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                                     + <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]));</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_size1, T_size2&gt;::value</a>,</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                    T_partials_return, T_size1, T_size2&gt;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        lbeta_denominator(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta); i++)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_size1, T_size2&gt;::value</a>)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          lbeta_denominator[i] = <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]),</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                                       <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]));</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_size1&gt;::value</a>,</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                    T_partials_return, T_n, T_size1&gt;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        digamma_n_plus_alpha(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, alpha));</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, alpha); i++)</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_size1&gt;::value</a>)</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          digamma_n_plus_alpha[i]</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;            = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(n_vec[i] + <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]));</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;contains_nonconstant_struct&lt;T_size1, T_size2&gt;::value</a>,</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;                    T_partials_return, T_N, T_size1, T_size2&gt;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        digamma_N_plus_alpha_plus_beta(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(N, alpha, beta));</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(N, alpha, beta); i++)</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_size1, T_size2&gt;::value</a>)</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          digamma_N_plus_alpha_plus_beta[i]</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(N_vec[i] + <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i])</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                      + <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]));</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;contains_nonconstant_struct&lt;T_size1, T_size2&gt;::value</a>,</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                    T_partials_return, T_size1, T_size2&gt;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        digamma_alpha_plus_beta(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta); i++)</div>
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+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;          digamma_alpha_plus_beta[i]</div>
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+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_size1&gt;::value</a>,</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                    T_partials_return, T_size1&gt; digamma_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); i++)</div>
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+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          digamma_alpha[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]));</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_size2&gt;::value</a>,</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                    T_partials_return, T_size2&gt;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        digamma_beta(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta));</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta); i++)</div>
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+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
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+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;          logp += normalizing_constant[i];</div>
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+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_size1&gt;::value</a>)</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i]</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;            += digamma_n_plus_alpha[i]</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;            - digamma_N_plus_alpha_plus_beta[i]</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;            + digamma_alpha_plus_beta[i]</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            - digamma_alpha[i];</div>
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+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;            - digamma_N_plus_alpha_plus_beta[i]</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;            + digamma_alpha_plus_beta[i]</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;            - digamma_beta[i];</div>
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+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n,</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;              <span class="keyword">typename</span> T_N,</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;              <span class="keyword">typename</span> T_size1,</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;              <span class="keyword">typename</span> T_size2&gt;</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_size1, T_size2&gt;::type</a></div>
+<div class="line"><a name="l00177"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a48a71d6f54236310fba1a94b445272f3">  177</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a5c2462b112bf6512c4db7c6abea6478c">beta_binomial_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_N&amp; N,</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;                      <span class="keyword">const</span> T_size1&amp; alpha, <span class="keyword">const</span> T_size2&amp; beta) {</div>
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+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    }</div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div>
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+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;}</div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
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+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="_f32_8hpp_html"><div class="ttname"><a href="_f32_8hpp.html">F32.hpp</a></div></div>
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+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="beta__rng_8hpp_html"><div class="ttname"><a href="beta__rng_8hpp.html">beta_rng.hpp</a></div></div>
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+<div class="ttc" id="grad___f32_8hpp_html"><div class="ttname"><a href="grad___f32_8hpp.html">grad_F32.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">beta_binomial_rng.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="binomial__rng_8hpp_source.html">stan/math/prim/scal/prob/binomial_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__rng_8hpp_source.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_f32_8hpp_source.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad___f32_8hpp_source.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</code><br />
+</div>
+<p><a href="beta__binomial__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac0443ac7dbd959b40b1a958767857f5e"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:ac0443ac7dbd959b40b1a958767857f5e"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac0443ac7dbd959b40b1a958767857f5e">stan::math::beta_binomial_rng</a> (const int N, const double alpha, const double beta, RNG &amp;rng)</td></tr>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">beta_binomial_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="beta__binomial__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BETA_BINOMIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BETA_BINOMIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="binomial__rng_8hpp.html">stan/math/prim/scal/prob/binomial_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__rng_8hpp.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_f32_8hpp.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad___f32_8hpp.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac0443ac7dbd959b40b1a958767857f5e">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ac0443ac7dbd959b40b1a958767857f5e">beta_binomial_rng</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> N,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                      <span class="keyword">const</span> <span class="keywordtype">double</span> alpha,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                      <span class="keyword">const</span> <span class="keywordtype">double</span> beta,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                      RNG&amp; rng) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::beta_binomial_rng&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Population size parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                            <span class="stringliteral">&quot;First prior sample size parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                            <span class="stringliteral">&quot;Second prior sample size parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordtype">double</span> a = <a class="code" href="namespacestan_1_1math.html#a7fa2015614535f45c2cb6d5f544643d0">stan::math::beta_rng</a>(alpha, beta, rng);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">while</span> (a &gt; 1 || a &lt; 0)</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        a = <a class="code" href="namespacestan_1_1math.html#a7fa2015614535f45c2cb6d5f544643d0">stan::math::beta_rng</a>(alpha, beta, rng);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aa41d355d768c2258bf999bc765382f27">stan::math::binomial_rng</a>(N, a, rng);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    }</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;}</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7fa2015614535f45c2cb6d5f544643d0"><div class="ttname"><a href="namespacestan_1_1math.html#a7fa2015614535f45c2cb6d5f544643d0">stan::math::beta_rng</a></div><div class="ttdeci">double beta_rng(const double alpha, const double beta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="beta__rng_8hpp_source.html#l00029">beta_rng.hpp:29</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac0443ac7dbd959b40b1a958767857f5e"><div class="ttname"><a href="namespacestan_1_1math.html#ac0443ac7dbd959b40b1a958767857f5e">stan::math::beta_binomial_rng</a></div><div class="ttdeci">int beta_binomial_rng(const int N, const double alpha, const double beta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="beta__binomial__rng_8hpp_source.html#l00025">beta_binomial_rng.hpp:25</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
+<div class="ttc" id="_f32_8hpp_html"><div class="ttname"><a href="_f32_8hpp.html">F32.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="beta__rng_8hpp_html"><div class="ttname"><a href="beta__rng_8hpp.html">beta_rng.hpp</a></div></div>
+<div class="ttc" id="grad___f32_8hpp_html"><div class="ttname"><a href="grad___f32_8hpp.html">grad_F32.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa41d355d768c2258bf999bc765382f27"><div class="ttname"><a href="namespacestan_1_1math.html#aa41d355d768c2258bf999bc765382f27">stan::math::binomial_rng</a></div><div class="ttdeci">int binomial_rng(const int N, const double theta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="binomial__rng_8hpp_source.html#l00030">binomial_rng.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="binomial__rng_8hpp_html"><div class="ttname"><a href="binomial__rng_8hpp.html">binomial_rng.hpp</a></div></div>
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+<div class="title">beta_ccdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="beta__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a625d31cf8da1c8cd2ea99af113ed6fe6"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale_succ , typename T_scale_fail &gt; </td></tr>
+<tr class="memitem:a625d31cf8da1c8cd2ea99af113ed6fe6"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale_succ, T_scale_fail &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a625d31cf8da1c8cd2ea99af113ed6fe6">stan::math::beta_ccdf_log</a> (const T_y &amp;y, const T_scale_succ &amp;alpha, const T_scale_fail &amp;beta)</td></tr>
+<tr class="separator:a625d31cf8da1c8cd2ea99af113ed6fe6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  Stan Development Team.
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+<a href="beta__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BETA_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BETA_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale_succ, <span class="keyword">typename</span> T_scale_fail&gt;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_scale_succ, T_scale_fail&gt;::type</div>
+<div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a625d31cf8da1c8cd2ea99af113ed6fe6">   36</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a625d31cf8da1c8cd2ea99af113ed6fe6">beta_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale_succ&amp; alpha,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                  <span class="keyword">const</span> T_scale_fail&amp; beta) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_scale_succ,</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                                                  T_scale_fail&gt;::type</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta) ) )</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::beta_cdf&quot;</span>);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;First shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Second shape parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">check_less_or_equal</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y, 1);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                             <span class="stringliteral">&quot;First shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                             <span class="stringliteral">&quot;Second shape parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale_succ&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale_fail&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_scale_succ, T_scale_fail&gt;</a></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="comment">// Compute CDF and its gradients</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="comment">// Cache a few expensive function calls if alpha or beta is a parameter</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct</a>&lt;T_scale_succ,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                                                T_scale_fail&gt;::value,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                    T_partials_return, T_scale_succ, T_scale_fail&gt;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        digamma_alpha_vec(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct</a>&lt;T_scale_succ,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                                                T_scale_fail&gt;::value,</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                    T_partials_return, T_scale_succ, T_scale_fail&gt;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        digamma_beta_vec(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct</a>&lt;T_scale_succ,</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                                                T_scale_fail&gt;::value,</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;                    T_partials_return, T_scale_succ, T_scale_fail&gt;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        digamma_sum_vec(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_scale_succ, T_scale_fail&gt;::value</a>) {</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++) {</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          digamma_alpha_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          digamma_beta_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(beta_dbl);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          digamma_sum_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl + beta_dbl);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        }</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      }</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <span class="comment">// Compute vectorized CDFLog and gradient</span></div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keyword">const</span> T_partials_return betafunc_dbl = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(alpha_dbl, beta_dbl));</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 - <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(alpha_dbl, beta_dbl, y_dbl);</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        ccdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
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+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a625d31cf8da1c8cd2ea99af113ed6fe6"><div class="ttname"><a href="namespacestan_1_1math.html#a625d31cf8da1c8cd2ea99af113ed6fe6">stan::math::beta_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_scale_succ, T_scale_fail &gt;::type beta_ccdf_log(const T_y &amp;y, const T_scale_succ &amp;alpha, const T_scale_fail &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="beta__ccdf__log_8hpp_source.html#l00036">beta_ccdf_log.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1contains__nonconstant__struct_html"><div class="ttname"><a href="structstan_1_1contains__nonconstant__struct.html">stan::contains_nonconstant_struct</a></div><div class="ttdef"><b>Definition:</b> <a href="contains__nonconstant__struct_8hpp_source.html#l00014">contains_nonconstant_struct.hpp:14</a></div></div>
+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11eeb59eb3ae4f0710a7e417478c1212"><div class="ttname"><a href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a></div><div class="ttdeci">void grad_reg_inc_beta(T &amp;g1, T &amp;g2, T a, T b, T z, T digammaA, T digammaB, T digammaSum, T betaAB)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__beta_8hpp_source.html#l00014">grad_reg_inc_beta.hpp:14</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">beta_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__dda_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_dda.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__ddb_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_ddb.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__ddz_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_ddz.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="beta__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a84beaaff122d602406a515a9dd97bb90"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale_succ , typename T_scale_fail &gt; </td></tr>
+<tr class="memitem:a84beaaff122d602406a515a9dd97bb90"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale_succ, T_scale_fail &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a84beaaff122d602406a515a9dd97bb90">stan::math::beta_cdf</a> (const T_y &amp;y, const T_scale_succ &amp;alpha, const T_scale_fail &amp;beta)</td></tr>
+<tr class="memdesc:a84beaaff122d602406a515a9dd97bb90"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the beta cumulative distribution function for the given variate and scale variables.  <a href="namespacestan_1_1math.html#a84beaaff122d602406a515a9dd97bb90">More...</a><br /></td></tr>
+<tr class="separator:a84beaaff122d602406a515a9dd97bb90"><td class="memSeparator" colspan="2">&#160;</td></tr>
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diff --git a/doc/api/html/beta__cdf_8hpp_source.html b/doc/api/html/beta__cdf_8hpp_source.html
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+<div class="title">beta_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="beta__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BETA_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BETA_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__dda_8hpp.html">stan/math/prim/scal/fun/inc_beta_dda.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__ddb_8hpp.html">stan/math/prim/scal/fun/inc_beta_ddb.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__ddz_8hpp.html">stan/math/prim/scal/fun/inc_beta_ddz.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale_succ, <span class="keyword">typename</span> T_scale_fail&gt;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_scale_succ, T_scale_fail&gt;::type</div>
+<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a84beaaff122d602406a515a9dd97bb90">   49</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a84beaaff122d602406a515a9dd97bb90">beta_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale_succ&amp; alpha,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;             <span class="keyword">const</span> T_scale_fail&amp; beta) {</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_scale_succ,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                                                  T_scale_fail&gt;::type</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::beta_cdf&quot;</span>);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;First shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Second shape parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                             <span class="stringliteral">&quot;First shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                             <span class="stringliteral">&quot;Second shape parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">check_less_or_equal</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y, 1);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale_succ&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale_fail&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_scale_succ, T_scale_fail&gt;</a></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) &lt;= 0)</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="comment">// Compute CDF and its gradients</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="comment">// Cache a few expensive function calls if alpha or beta is a parameter</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct</a>&lt;T_scale_succ,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                                                T_scale_fail&gt;::value,</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                    T_partials_return, T_scale_succ, T_scale_fail&gt;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        digamma_alpha_vec(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct</a>&lt;T_scale_succ,</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                                                T_scale_fail&gt;::value,</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                    T_partials_return, T_scale_succ, T_scale_fail&gt;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        digamma_beta_vec(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct</a>&lt;T_scale_succ,</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;                                                T_scale_fail&gt;::value,</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                    T_partials_return, T_scale_succ, T_scale_fail&gt;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        digamma_sum_vec(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_scale_succ, T_scale_fail&gt;::value</a>) {</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          digamma_alpha_vec[n] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          digamma_beta_vec[n] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(beta_dbl);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          digamma_sum_vec[n] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl + beta_dbl);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        }</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      }</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) &gt;= 1.0) <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(alpha_dbl, beta_dbl, y_dbl);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        P *= Pn;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            += <a class="code" href="namespacestan_1_1math.html#a2412f96d2114b4c15efb1ddbddaef35b">inc_beta_ddz</a>(alpha_dbl, beta_dbl, y_dbl) / Pn;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale_succ&gt;::value</a>)</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            += <a class="code" href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">inc_beta_dda</a>(alpha_dbl, beta_dbl, y_dbl,</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                            digamma_alpha_vec[n], digamma_sum_vec[n]) / Pn;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale_fail&gt;::value</a>)</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            += <a class="code" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">inc_beta_ddb</a>(alpha_dbl, beta_dbl, y_dbl,</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;                            digamma_beta_vec[n], digamma_sum_vec[n]) / Pn;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;      }</div>
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+<div class="ttc" id="inc__beta__ddz_8hpp_html"><div class="ttname"><a href="inc__beta__ddz_8hpp.html">inc_beta_ddz.hpp</a></div></div>
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+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="inc__beta__ddb_8hpp_html"><div class="ttname"><a href="inc__beta__ddb_8hpp.html">inc_beta_ddb.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
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+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
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+<div class="ttc" id="inc__beta__dda_8hpp_html"><div class="ttname"><a href="inc__beta__dda_8hpp.html">inc_beta_dda.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">beta_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="beta__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:afa87400b4ecd4bba0d10158cad4f3a8b"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale_succ , typename T_scale_fail &gt; </td></tr>
+<tr class="memitem:afa87400b4ecd4bba0d10158cad4f3a8b"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale_succ, T_scale_fail &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afa87400b4ecd4bba0d10158cad4f3a8b">stan::math::beta_cdf_log</a> (const T_y &amp;y, const T_scale_succ &amp;alpha, const T_scale_fail &amp;beta)</td></tr>
+<tr class="separator:afa87400b4ecd4bba0d10158cad4f3a8b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">beta_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="beta__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BETA_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BETA_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale_succ, <span class="keyword">typename</span> T_scale_fail&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_scale_succ, T_scale_fail&gt;::type</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afa87400b4ecd4bba0d10158cad4f3a8b">   35</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#afa87400b4ecd4bba0d10158cad4f3a8b">beta_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale_succ&amp; alpha,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                 <span class="keyword">const</span> T_scale_fail&amp; beta) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_scale_succ,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                                                  T_scale_fail&gt;::type</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta) ) )</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::beta_cdf&quot;</span>);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;First shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Second shape parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">check_less_or_equal</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y, 1);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                             <span class="stringliteral">&quot;First shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                             <span class="stringliteral">&quot;Second shape parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale_succ&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale_fail&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_scale_succ, T_scale_fail&gt;</a></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// Compute CDF and its gradients</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="comment">// Cache a few expensive function calls if alpha or beta is a parameter</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct</a>&lt;T_scale_succ,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                                                T_scale_fail&gt;::value,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                    T_partials_return, T_scale_succ, T_scale_fail&gt;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        digamma_alpha_vec(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct</a>&lt;T_scale_succ,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                                                T_scale_fail&gt;::value,</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                    T_partials_return, T_scale_succ, T_scale_fail&gt;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        digamma_beta_vec(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct</a>&lt;T_scale_succ,</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;                                                T_scale_fail&gt;::value,</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                    T_partials_return, T_scale_succ, T_scale_fail&gt;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        digamma_sum_vec(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_scale_succ, T_scale_fail&gt;::value</a>) {</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++) {</div>
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+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          digamma_alpha_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          digamma_beta_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(beta_dbl);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          digamma_sum_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl + beta_dbl);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        }</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      }</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="comment">// Compute vectorized CDFLog and gradient</span></div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keyword">const</span> T_partials_return betafunc_dbl = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(alpha_dbl, beta_dbl));</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(alpha_dbl, beta_dbl, y_dbl);</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        cdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1-y_dbl, beta_dbl-1)</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(y_dbl, alpha_dbl-1) / betafunc_dbl / Pn;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        T_partials_return g1 = 0;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        T_partials_return g2 = 0;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_scale_succ, T_scale_fail&gt;::value</a>) {</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;          <a class="code" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a>(g1, g2, alpha_dbl, beta_dbl, y_dbl,</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                                        digamma_alpha_vec[n],</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                                        digamma_beta_vec[n], digamma_sum_vec[n],</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;                                        betafunc_dbl);</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        }</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale_succ&gt;::value</a>)</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += g1 / Pn;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale_fail&gt;::value</a>)</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]  += g2 / Pn;</div>
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+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
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+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
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+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
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+<div class="title">beta_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="beta__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0246a55c1c14d2c7ec35a0070af63299"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_scale_succ , typename T_scale_fail &gt; </td></tr>
+<tr class="memitem:a0246a55c1c14d2c7ec35a0070af63299"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale_succ, T_scale_fail &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0246a55c1c14d2c7ec35a0070af63299">stan::math::beta_log</a> (const T_y &amp;y, const T_scale_succ &amp;alpha, const T_scale_fail &amp;beta)</td></tr>
+<tr class="memdesc:a0246a55c1c14d2c7ec35a0070af63299"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of the beta density for the specified scalar(s) given the specified sample size(s).  <a href="namespacestan_1_1math.html#a0246a55c1c14d2c7ec35a0070af63299">More...</a><br /></td></tr>
+<tr class="separator:a0246a55c1c14d2c7ec35a0070af63299"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7e5818c82697944b91b483674b14ad22"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale_succ , typename T_scale_fail &gt; </td></tr>
+<tr class="memitem:a7e5818c82697944b91b483674b14ad22"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale_succ, T_scale_fail &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7e5818c82697944b91b483674b14ad22">stan::math::beta_log</a> (const T_y &amp;y, const T_scale_succ &amp;alpha, const T_scale_fail &amp;beta)</td></tr>
+<tr class="separator:a7e5818c82697944b91b483674b14ad22"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">beta_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="beta__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BETA_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BETA_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale_succ, <span class="keyword">typename</span> T_scale_fail&gt;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_scale_succ, T_scale_fail&gt;::type</div>
+<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0246a55c1c14d2c7ec35a0070af63299">   54</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0246a55c1c14d2c7ec35a0070af63299">beta_log</a>(<span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;             <span class="keyword">const</span> T_scale_succ&amp; alpha, <span class="keyword">const</span> T_scale_fail&amp; beta) {</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::beta_log&quot;</span>);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                                                  T_scale_succ,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                                                  T_scale_fail&gt;::type</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a>;</div>
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+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
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+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
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+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      T_partials_return logp(0.0);</div>
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+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;First shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Second shape parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                             <span class="stringliteral">&quot;First shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                             <span class="stringliteral">&quot;Second shape parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">check_less_or_equal</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y, 1);</div>
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+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;        digamma_alpha_beta(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta); n++) {</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_beta = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n])</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;          + <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale_succ, T_scale_fail&gt;::value</a>)</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;          lgamma_alpha_beta[n] = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(alpha_beta);</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_scale_succ, T_scale_fail&gt;::value</a>)</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;          digamma_alpha_beta[n] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_beta);</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;      }</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;        <span class="comment">// pull out values of arguments</span></div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;</div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        <span class="comment">// log probability</span></div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale_succ, T_scale_fail&gt;::value</a>)</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;          logp += lgamma_alpha_beta[n];</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale_succ&gt;::value</a>)</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;          logp -= lgamma_alpha[n];</div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale_fail&gt;::value</a>)</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;          logp -= lgamma_beta[n];</div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_scale_succ&gt;::value</a>)</div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;          logp += (alpha_dbl-1.0) * log_y[n];</div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_scale_fail&gt;::value</a>)</div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;          logp += (beta_dbl-1.0) * log1m_y[n];</div>
+<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;</div>
+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += (alpha_dbl-1)/y_dbl</div>
+<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;            + (beta_dbl-1)/(y_dbl-1);</div>
+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale_succ&gt;::value</a>)</div>
+<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;            += log_y[n] + digamma_alpha_beta[n] - digamma_alpha[n];</div>
+<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale_fail&gt;::value</a>)</div>
+<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;            += log1m_y[n] + digamma_alpha_beta[n] - digamma_beta[n];</div>
+<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;      }</div>
+<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;    }</div>
+<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;</div>
+<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale_succ, <span class="keyword">typename</span> T_scale_fail&gt;</div>
+<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_scale_succ, T_scale_fail&gt;::type</a></div>
+<div class="line"><a name="l00211"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7e5818c82697944b91b483674b14ad22">  211</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0246a55c1c14d2c7ec35a0070af63299">beta_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale_succ&amp; alpha,</div>
+<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;             <span class="keyword">const</span> T_scale_fail&amp; beta) {</div>
+<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;      <span class="keywordflow">return</span> beta_log&lt;false&gt;(y, alpha, beta);</div>
+<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;    }</div>
+<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;</div>
+<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;  }</div>
+<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;}</div>
+<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0246a55c1c14d2c7ec35a0070af63299"><div class="ttname"><a href="namespacestan_1_1math.html#a0246a55c1c14d2c7ec35a0070af63299">stan::math::beta_log</a></div><div class="ttdeci">return_type&lt; T_y, T_scale_succ, T_scale_fail &gt;::type beta_log(const T_y &amp;y, const T_scale_succ &amp;alpha, const T_scale_fail &amp;beta)</div><div class="ttdoc">The log of the beta density for the specified scalar(s) given the specified sample size(s)...</div><div class="ttdef"><b>Definition:</b> <a href="beta__log_8hpp_source.html#l00054">beta_log.hpp:54</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1is__vector_html"><div class="ttname"><a href="structstan_1_1is__vector.html">stan::is_vector</a></div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__vector_8hpp_source.html#l00010">is_vector.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
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+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+</div>
+<p><a href="beta__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a7fa2015614535f45c2cb6d5f544643d0"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a7fa2015614535f45c2cb6d5f544643d0"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7fa2015614535f45c2cb6d5f544643d0">stan::math::beta_rng</a> (const double alpha, const double beta, RNG &amp;rng)</td></tr>
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+<a href="beta__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BETA_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BETA_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7fa2015614535f45c2cb6d5f544643d0">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a7fa2015614535f45c2cb6d5f544643d0">beta_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> alpha,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;             <span class="keyword">const</span> <span class="keywordtype">double</span> beta,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;             RNG&amp; rng) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> boost::random::gamma_distribution;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::beta_rng&quot;</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;First shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Second shape parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      variate_generator&lt;RNG&amp;, gamma_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        rng_gamma_alpha(rng, gamma_distribution&lt;&gt;(alpha, 1.0));</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      variate_generator&lt;RNG&amp;, gamma_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        rng_gamma_beta(rng, gamma_distribution&lt;&gt;(beta, 1.0));</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordtype">double</span> a = rng_gamma_alpha();</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordtype">double</span> b = rng_gamma_beta();</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordflow">return</span> a / (a + b);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;}</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7fa2015614535f45c2cb6d5f544643d0"><div class="ttname"><a href="namespacestan_1_1math.html#a7fa2015614535f45c2cb6d5f544643d0">stan::math::beta_rng</a></div><div class="ttdeci">double beta_rng(const double alpha, const double beta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="beta__rng_8hpp_source.html#l00029">beta_rng.hpp:29</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">binomial_ccdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="binomial__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a92586706a7afc2c968e0c11a9a021f8a"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_N , typename T_prob &gt; </td></tr>
+<tr class="memitem:a92586706a7afc2c968e0c11a9a021f8a"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a92586706a7afc2c968e0c11a9a021f8a">stan::math::binomial_ccdf_log</a> (const T_n &amp;n, const T_N &amp;N, const T_prob &amp;theta)</td></tr>
+<tr class="separator:a92586706a7afc2c968e0c11a9a021f8a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">binomial_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="binomial__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__inv__logit_8hpp.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_N, <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a92586706a7afc2c968e0c11a9a021f8a">   33</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a92586706a7afc2c968e0c11a9a021f8a">binomial_ccdf_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_N&amp; N, <span class="keyword">const</span> T_prob&amp; theta) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::binomial_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_N, T_prob&gt;::type</a></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="comment">// Ensure non-zero arguments lenghts</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(N) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(theta)))</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Population size parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta, 0.0, 1.0);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Successes variable&quot;</span>, n,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Population size parameter&quot;</span>, N,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Wrap arguments in vector views</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_N&gt;</a> N_vec(N);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_prob&gt;</a> theta_vec(theta);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, N, theta);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_prob&gt;</a> operands_and_partials(theta);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// The gradients are technically ill-defined,</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="comment">// but treated as negative infinity</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &gt;= <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i])) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keyword">const</span> T_partials_return N_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i]);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return theta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta_vec[i]);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">const</span> T_partials_return betafunc = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(N_dbl-n_dbl, n_dbl+1));</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = 1.0 - <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(N_dbl - n_dbl, n_dbl + 1,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                                                    1 - theta_dbl);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pi);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] += <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(theta_dbl, n_dbl)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1-theta_dbl, N_dbl-n_dbl-1) / betafunc / Pi;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;  }</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;}</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac51be9d210e223a8aa4241e2d725e295"><div class="ttname"><a href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a></div><div class="ttdeci">fvar&lt; T &gt; lbeta(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">lbeta.hpp:16</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__inv__logit_8hpp.html">log_inv_logit.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
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+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="binomial__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a25ca53e4f20460de16af84337acba3f0"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_N , typename T_prob &gt; </td></tr>
+<tr class="memitem:a25ca53e4f20460de16af84337acba3f0"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a25ca53e4f20460de16af84337acba3f0">stan::math::binomial_cdf</a> (const T_n &amp;n, const T_N &amp;N, const T_prob &amp;theta)</td></tr>
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+<a href="binomial__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__inv__logit_8hpp.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="comment">// Binomial CDF</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_N, <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a25ca53e4f20460de16af84337acba3f0">   34</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a25ca53e4f20460de16af84337acba3f0">binomial_cdf</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_N&amp; N, <span class="keyword">const</span> T_prob&amp; theta) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::binomial_cdf&quot;</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_N, T_prob&gt;::type</a></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="comment">// Ensure non-zero arguments lenghts</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(N) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(theta)))</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Population size parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta, 0.0, 1.0);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Successes variable&quot;</span>, n,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Population size parameter&quot;</span>, N,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// Wrap arguments in vector views</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_N&gt;</a> N_vec(N);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_prob&gt;</a> theta_vec(theta);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, N, theta);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_prob&gt;</a> operands_and_partials(theta);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &gt;= <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i])) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return N_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i]);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">const</span> T_partials_return theta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta_vec[i]);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return betafunc = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(N_dbl-n_dbl, n_dbl+1));</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(N_dbl - n_dbl, n_dbl + 1,</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                                              1 - theta_dbl);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        P *= Pi;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] -= <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(theta_dbl, n_dbl)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1-theta_dbl, N_dbl-n_dbl-1) / betafunc / Pi;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      }</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>) {</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(theta); ++i)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] *= P;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      }</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;    }</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;  }</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;}</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a25ca53e4f20460de16af84337acba3f0"><div class="ttname"><a href="namespacestan_1_1math.html#a25ca53e4f20460de16af84337acba3f0">stan::math::binomial_cdf</a></div><div class="ttdeci">return_type&lt; T_prob &gt;::type binomial_cdf(const T_n &amp;n, const T_N &amp;N, const T_prob &amp;theta)</div><div class="ttdef"><b>Definition:</b> <a href="binomial__cdf_8hpp_source.html#l00034">binomial_cdf.hpp:34</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__inv__logit_8hpp.html">log_inv_logit.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
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+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__logit_8hpp.html">inv_logit.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="title">binomial_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="binomial__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a96b0617f8ad60887c84b0cd91ebe202e"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_N , typename T_prob &gt; </td></tr>
+<tr class="memitem:a96b0617f8ad60887c84b0cd91ebe202e"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a96b0617f8ad60887c84b0cd91ebe202e">stan::math::binomial_cdf_log</a> (const T_n &amp;n, const T_N &amp;N, const T_prob &amp;theta)</td></tr>
+<tr class="separator:a96b0617f8ad60887c84b0cd91ebe202e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
+</div>
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+  <div class="headertitle">
+<div class="title">binomial_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="binomial__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__inv__logit_8hpp.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_N, <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a96b0617f8ad60887c84b0cd91ebe202e">   33</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a96b0617f8ad60887c84b0cd91ebe202e">binomial_cdf_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_N&amp; N, <span class="keyword">const</span> T_prob&amp; theta) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::binomial_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_N, T_prob&gt;::type</a></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="comment">// Ensure non-zero arguments lenghts</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(N) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(theta)))</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Population size parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta, 0.0, 1.0);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Successes variable&quot;</span>, n,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Population size parameter&quot;</span>, N,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Wrap arguments in vector views</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_N&gt;</a> N_vec(N);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_prob&gt;</a> theta_vec(theta);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, N, theta);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_prob&gt;</a> operands_and_partials(theta);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// The gradients are technically ill-defined,</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="comment">// but treated as negative infinity</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &gt;= <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i])) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keyword">const</span> T_partials_return N_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(N_vec[i]);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return theta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta_vec[i]);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">const</span> T_partials_return betafunc = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(N_dbl-n_dbl, n_dbl+1));</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(N_dbl - n_dbl, n_dbl + 1,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                                              1 - theta_dbl);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pi);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] -= <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(theta_dbl, n_dbl)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1-theta_dbl, N_dbl-n_dbl-1) / betafunc / Pi;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  }</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;}</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac51be9d210e223a8aa4241e2d725e295"><div class="ttname"><a href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a></div><div class="ttdeci">fvar&lt; T &gt; lbeta(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">lbeta.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__inv__logit_8hpp.html">log_inv_logit.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
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+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__logit_8hpp.html">inv_logit.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="binomial__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a9de035dd17c118b3144a9ed9c867378f"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_n , typename T_N , typename T_prob &gt; </td></tr>
+<tr class="memitem:a9de035dd17c118b3144a9ed9c867378f"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9de035dd17c118b3144a9ed9c867378f">stan::math::binomial_log</a> (const T_n &amp;n, const T_N &amp;N, const T_prob &amp;theta)</td></tr>
+<tr class="separator:a9de035dd17c118b3144a9ed9c867378f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8b3409628d97b7ff020f2c0c694d8d40"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_N , typename T_prob &gt; </td></tr>
+<tr class="memitem:a8b3409628d97b7ff020f2c0c694d8d40"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8b3409628d97b7ff020f2c0c694d8d40">stan::math::binomial_log</a> (const T_n &amp;n, const T_N &amp;N, const T_prob &amp;theta)</td></tr>
+<tr class="separator:a8b3409628d97b7ff020f2c0c694d8d40"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="binomial__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__inv__logit_8hpp.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;boost/random/binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="comment">// Binomial(n|N, theta)  [N &gt;= 0;  0 &lt;= n &lt;= N;  0 &lt;= theta &lt;= 1]</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;              <span class="keyword">typename</span> T_n,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;              <span class="keyword">typename</span> T_N,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;              <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9de035dd17c118b3144a9ed9c867378f">   38</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9de035dd17c118b3144a9ed9c867378f">binomial_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                 <span class="keyword">const</span> T_N&amp; N,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                 <span class="keyword">const</span> T_prob&amp; theta) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_N, T_prob&gt;::type</a></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::binomial_log&quot;</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(N)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(theta)))</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      T_partials_return logp = 0;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Successes variable&quot;</span>, n, 0, N);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Population size parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta, 0.0, 1.0);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Successes variable&quot;</span>, n,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                             <span class="stringliteral">&quot;Population size parameter&quot;</span>, N,</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                             <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_N&gt;</a> N_vec(N);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_prob&gt;</a> theta_vec(theta);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, N, theta);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_prob&gt;</a> operands_and_partials(theta);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">stan::math::binomial_coefficient_log</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(N_vec[i], n_vec[i]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      }</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_prob&gt;</a> log1m_theta(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(theta));</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(theta); ++i)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        log1m_theta[i] = <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta_vec[i]));</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="comment">// no test for include_summand because return if not live</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        logp += <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">multiply_log</a>(n_vec[i], <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta_vec[i]))</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          + (N_vec[i] - n_vec[i]) * log1m_theta[i];</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
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+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        T_partials_return temp2 = 0;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i) {</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          temp1 += n_vec[i];</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          temp2 += N_vec[i] - n_vec[i];</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_prob&gt;::value</a>) {</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[0]</div>
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+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
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+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                 <span class="keyword">const</span> T_N&amp; N,</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;                 <span class="keyword">const</span> T_prob&amp; theta) {</div>
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+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
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+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;}</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__inv__logit_8hpp.html">log_inv_logit.hpp</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__logit_8hpp.html">inv_logit.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="binomial__logit__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a8f5a9e223a39b11f58fe044dcb2bc7ca"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_n , typename T_N , typename T_prob &gt; </td></tr>
+<tr class="memitem:a8f5a9e223a39b11f58fe044dcb2bc7ca"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8f5a9e223a39b11f58fe044dcb2bc7ca">stan::math::binomial_logit_log</a> (const T_n &amp;n, const T_N &amp;N, const T_prob &amp;alpha)</td></tr>
+<tr class="separator:a8f5a9e223a39b11f58fe044dcb2bc7ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5378254419361dd7a0bfacf139b49401"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_N , typename T_prob &gt; </td></tr>
+<tr class="memitem:a5378254419361dd7a0bfacf139b49401"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5378254419361dd7a0bfacf139b49401">stan::math::binomial_logit_log</a> (const T_n &amp;n, const T_N &amp;N, const T_prob &amp;alpha)</td></tr>
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+<div class="title">binomial_logit_log.hpp</div>  </div>
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+<div class="contents">
+<a href="binomial__logit__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_LOGIT_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_LOGIT_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__inv__logit_8hpp.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;boost/random/binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="comment">// BinomialLogit(n|N, alpha)  [N &gt;= 0;  0 &lt;= n &lt;= N]</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="comment">// BinomialLogit(n|N, alpha) = Binomial(n|N, inv_logit(alpha))</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;              <span class="keyword">typename</span> T_n,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;              <span class="keyword">typename</span> T_N,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;              <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8f5a9e223a39b11f58fe044dcb2bc7ca">   39</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a8f5a9e223a39b11f58fe044dcb2bc7ca">binomial_logit_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                       <span class="keyword">const</span> T_N&amp; N,</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                       <span class="keyword">const</span> T_prob&amp; alpha) {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_N, T_prob&gt;::type</a></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::binomial_logit_log&quot;</span>);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(N)</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)))</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      T_partials_return logp = 0;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Successes variable&quot;</span>, n, 0, N);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Population size parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Successes variable&quot;</span>, n,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                             <span class="stringliteral">&quot;Population size parameter&quot;</span>, N,</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                             <span class="stringliteral">&quot;Probability parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_N&gt;</a> N_vec(N);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_prob&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, N, alpha);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_prob&gt;</a> operands_and_partials(alpha);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">stan::math::binomial_coefficient_log</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#acd2fe56bce70a04dd11e8a5a32b1b51c">stan::math::log_inv_logit</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(N_vec[i], n_vec[i]);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      }</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_prob&gt;</a></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        log_inv_logit_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); ++i)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        log_inv_logit_alpha[i] = <a class="code" href="namespacestan_1_1math.html#acd2fe56bce70a04dd11e8a5a32b1b51c">log_inv_logit</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]));</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_prob&gt;</a></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        log_inv_logit_neg_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); ++i)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        log_inv_logit_neg_alpha[i] = <a class="code" href="namespacestan_1_1math.html#acd2fe56bce70a04dd11e8a5a32b1b51c">log_inv_logit</a>(-<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]));</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        logp += n_vec[i] * log_inv_logit_alpha[i]</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          + (N_vec[i] - n_vec[i]) * log_inv_logit_neg_alpha[i];</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha) == 1) {</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        T_partials_return temp1 = 0;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        T_partials_return temp2 = 0;</div>
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+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          temp2 += N_vec[i] - n_vec[i];</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        }</div>
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+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            - temp2 * <a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">inv_logit</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[0]));</div>
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+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      } <span class="keywordflow">else</span> {</div>
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+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i]</div>
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+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;              - (N_vec[i] - n_vec[i]) * <a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">inv_logit</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]));</div>
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+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;</div>
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+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;              <span class="keyword">typename</span> T_N,</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;              <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_prob&gt;::type</a></div>
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+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                       <span class="keyword">const</span> T_N&amp; N,</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                       <span class="keyword">const</span> T_prob&amp; alpha) {</div>
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+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;  }</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;}</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8f5a9e223a39b11f58fe044dcb2bc7ca"><div class="ttname"><a href="namespacestan_1_1math.html#a8f5a9e223a39b11f58fe044dcb2bc7ca">stan::math::binomial_logit_log</a></div><div class="ttdeci">return_type&lt; T_prob &gt;::type binomial_logit_log(const T_n &amp;n, const T_N &amp;N, const T_prob &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="binomial__logit__log_8hpp_source.html#l00039">binomial_logit_log.hpp:39</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="title">binomial_rng.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+</div>
+<p><a href="binomial__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa41d355d768c2258bf999bc765382f27"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:aa41d355d768c2258bf999bc765382f27"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa41d355d768c2258bf999bc765382f27">stan::math::binomial_rng</a> (const int N, const double theta, RNG &amp;rng)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">binomial_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="binomial__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_BINOMIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__inv__logit_8hpp.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa41d355d768c2258bf999bc765382f27">   30</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa41d355d768c2258bf999bc765382f27">binomial_rng</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> N,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                 <span class="keyword">const</span> <span class="keywordtype">double</span> theta,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                 RNG&amp; rng) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> boost::binomial_distribution;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::binomial_rng&quot;</span>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Population size parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">check_less_or_equal</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta, 1.0);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">check_greater_or_equal</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probability parameter&quot;</span>, theta, 0.0);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      variate_generator&lt;RNG&amp;, binomial_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aa41d355d768c2258bf999bc765382f27">binomial_rng</a>(rng, binomial_distribution&lt;&gt;(N, theta));</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aa41d355d768c2258bf999bc765382f27">binomial_rng</a>();</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  }</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;}</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__inv__logit_8hpp.html">log_inv_logit.hpp</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
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+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__row__index_8hpp_source.html">stan/math/prim/mat/err/check_row_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__column__index_8hpp_source.html">stan/math/prim/mat/err/check_column_index.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a69be3cf865daa6eca4a859f97ffaa8f7"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a69be3cf865daa6eca4a859f97ffaa8f7"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a69be3cf865daa6eca4a859f97ffaa8f7">stan::math::block</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m, size_t i, size_t j, size_t nrows, size_t ncols)</td></tr>
+<tr class="memdesc:a69be3cf865daa6eca4a859f97ffaa8f7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a nrows x ncols submatrix starting at (i-1, j-1).  <a href="namespacestan_1_1math.html#a69be3cf865daa6eca4a859f97ffaa8f7">More...</a><br /></td></tr>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<p><a href="boost__isfinite_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespaceboost"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reimplementing boost functionality. <br /></td></tr>
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+<tr class="memdesc:namespaceboost_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reimplmeneting boost functionality for <code><a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a></code> and and bugs in classification of integer types. <br /></td></tr>
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+<tr class="memitem:a99b3c9ca2565e57981ac77d110c0f26d"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
+<tr class="memitem:a99b3c9ca2565e57981ac77d110c0f26d"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceboost_1_1math.html#a99b3c9ca2565e57981ac77d110c0f26d">boost::math::isfinite</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;v)</td></tr>
+<tr class="memdesc:a99b3c9ca2565e57981ac77d110c0f26d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if the given number has finite value.  <a href="namespaceboost_1_1math.html#a99b3c9ca2565e57981ac77d110c0f26d">More...</a><br /></td></tr>
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+<a href="boost__isfinite_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_BOOST_ISFINITE_HPP</span></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<tr class="memdesc:a3d7d6e376e25db9cff72f82ca4c3e684"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if the given number is infinite.  <a href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespaceboost"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reimplementing boost functionality. <br /></td></tr>
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+<tr class="memdesc:a9ec9f6ad1870e35178068fd12a0d04ea"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if the given number is NaN.  <a href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">More...</a><br /></td></tr>
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+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<tr class="memdesc:aa0100dc26ee826099c1d04ddc6cf3c89"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if the given number is normal.  <a href="namespaceboost_1_1math.html#aa0100dc26ee826099c1d04ddc6cf3c89">More...</a><br /></td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_CALCULATE_CHAIN_HPP</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">    8</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">calculate_chain</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; x, <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; val) {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>(x - val);  <span class="comment">// works out to inv_logit(x)</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    }</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  }</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;}</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab9b0e3e51b5cc7ab1da287369ff754d7"><div class="ttname"><a href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">stan::math::calculate_chain</a></div><div class="ttdeci">double calculate_chain(const double &amp;x, const double &amp;val)</div><div class="ttdef"><b>Definition:</b> <a href="calculate__chain_8hpp_source.html#l00008">calculate_chain.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__simplex_8hpp_source.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="categorical__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a583ce356e75d8d7be0126bb00c401afa"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_prob &gt; </td></tr>
+<tr class="memitem:a583ce356e75d8d7be0126bb00c401afa"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a583ce356e75d8d7be0126bb00c401afa">stan::math::categorical_log</a> (int n, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</td></tr>
+<tr class="separator:a583ce356e75d8d7be0126bb00c401afa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a41e12bdd3e7ba1450f8b44ea5a59b0dd"><td class="memTemplParams" colspan="2">template&lt;typename T_prob &gt; </td></tr>
+<tr class="memitem:a41e12bdd3e7ba1450f8b44ea5a59b0dd"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a41e12bdd3e7ba1450f8b44ea5a59b0dd">stan::math::categorical_log</a> (const typename math::index_type&lt; Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &gt;::type n, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</td></tr>
+<tr class="separator:a41e12bdd3e7ba1450f8b44ea5a59b0dd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a089e388c974ca67ecc06e9c67f75067f"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_prob &gt; </td></tr>
+<tr class="memitem:a089e388c974ca67ecc06e9c67f75067f"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a089e388c974ca67ecc06e9c67f75067f">stan::math::categorical_log</a> (const std::vector&lt; int &gt; &amp;ns, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</td></tr>
+<tr class="separator:a089e388c974ca67ecc06e9c67f75067f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aabce8d1a6154b04d2689f604b2e2373b"><td class="memTemplParams" colspan="2">template&lt;typename T_prob &gt; </td></tr>
+<tr class="memitem:aabce8d1a6154b04d2689f604b2e2373b"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aabce8d1a6154b04d2689f604b2e2373b">stan::math::categorical_log</a> (const std::vector&lt; int &gt; &amp;ns, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</td></tr>
+<tr class="separator:aabce8d1a6154b04d2689f604b2e2373b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">categorical_log.hpp</div>  </div>
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+<a href="categorical__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_CATEGORICAL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_CATEGORICAL_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__simplex_8hpp.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2sum_8hpp.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="comment">// Categorical(n|theta)  [0 &lt; n &lt;= N;   0 &lt;= theta[n] &lt;= 1;  SUM theta = 1]</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;              <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a583ce356e75d8d7be0126bb00c401afa">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a583ce356e75d8d7be0126bb00c401afa">categorical_log</a>(<span class="keywordtype">int</span> n,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                    <span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp; theta) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::categorical_log&quot;</span>);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math::check_simplex</a>;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordtype">int</span> lb = 1;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      T_prob lp = 0.0;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Number of categories&quot;</span>, n, lb, theta.size());</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct&lt;T_prob&gt;::value</a>) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">check_simplex</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probabilities parameter&quot;</span>, theta))</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;          <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">check_simplex</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probabilities parameter&quot;</span>, theta))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;          <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      }</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(theta(n-1));</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a41e12bdd3e7ba1450f8b44ea5a59b0dd">   56</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a583ce356e75d8d7be0126bb00c401afa">categorical_log</a>(<span class="keyword">const</span> <span class="keyword">typename</span></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                    <a class="code" href="structstan_1_1math_1_1index__type.html">math::index_type</a>&lt;Eigen::Matrix&lt;T_prob,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                    Eigen::Dynamic, 1&gt; &gt;::type n,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                    <span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp; theta) {</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keywordflow">return</span> categorical_log&lt;false&gt;(n, theta);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    }</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    <span class="comment">// Categorical(n|theta)  [0 &lt; n &lt;= N;   0 &lt;= theta[n] &lt;= 1;  SUM theta = 1]</span></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;              <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a089e388c974ca67ecc06e9c67f75067f">   68</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a583ce356e75d8d7be0126bb00c401afa">categorical_log</a>(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; ns,</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                    <span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp; theta) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::categorical_log&quot;</span>);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math::check_simplex</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordtype">int</span> lb = 1;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      T_prob lp = 0.0;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; ns.size(); ++i)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;element of outcome array&quot;</span>, ns[i],</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                      lb, theta.size());</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct&lt;T_prob&gt;::value</a>) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">check_simplex</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probabilities parameter&quot;</span>, theta))</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">check_simplex</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probabilities parameter&quot;</span>, theta))</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">if</span> (ns.size() == 0)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt; log_theta(theta.size());</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; theta.size(); ++i)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        log_theta(i) = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(theta(i));</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T_prob&gt;::type,</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                    Eigen::Dynamic, 1&gt; log_theta_ns(ns.size());</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; ns.size(); ++i)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        log_theta_ns(i) = log_theta(ns[i] - 1);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>(log_theta_ns);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    }</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob&gt;::type</div>
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+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;                    <span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp; theta) {</div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/arr/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__softmax_8hpp_source.html">stan/math/prim/mat/fun/log_softmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/mat/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="categorical__logit__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a35594af0b1635f8bc2817ca8a2c767f2"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_prob &gt; </td></tr>
+<tr class="memitem:a35594af0b1635f8bc2817ca8a2c767f2"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a35594af0b1635f8bc2817ca8a2c767f2">stan::math::categorical_logit_log</a> (int n, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;beta)</td></tr>
+<tr class="separator:a35594af0b1635f8bc2817ca8a2c767f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aea64526bd00e285844c6eb1246ccf431"><td class="memTemplParams" colspan="2">template&lt;typename T_prob &gt; </td></tr>
+<tr class="memitem:aea64526bd00e285844c6eb1246ccf431"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aea64526bd00e285844c6eb1246ccf431">stan::math::categorical_logit_log</a> (int n, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;beta)</td></tr>
+<tr class="separator:aea64526bd00e285844c6eb1246ccf431"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac06f8075869ffd32c8a0385e57bc2170"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_prob &gt; </td></tr>
+<tr class="memitem:ac06f8075869ffd32c8a0385e57bc2170"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac06f8075869ffd32c8a0385e57bc2170">stan::math::categorical_logit_log</a> (const std::vector&lt; int &gt; &amp;ns, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;beta)</td></tr>
+<tr class="separator:ac06f8075869ffd32c8a0385e57bc2170"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac35ff747de556a8f351efda0e986a832"><td class="memTemplParams" colspan="2">template&lt;typename T_prob &gt; </td></tr>
+<tr class="memitem:ac35ff747de556a8f351efda0e986a832"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac35ff747de556a8f351efda0e986a832">stan::math::categorical_logit_log</a> (const std::vector&lt; int &gt; &amp;ns, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;beta)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">categorical_logit_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="categorical__logit__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_CATEGORICAL_LOGIT_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_CATEGORICAL_LOGIT_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2arr_2fun_2log__sum__exp_8hpp.html">stan/math/prim/arr/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__softmax_8hpp.html">stan/math/prim/mat/fun/log_softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__sum__exp_8hpp.html">stan/math/prim/mat/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2sum_8hpp.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="comment">// CategoricalLog(n|theta)  [0 &lt; n &lt;= N, theta unconstrained], no checking</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;              <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a35594af0b1635f8bc2817ca8a2c767f2">   22</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a35594af0b1635f8bc2817ca8a2c767f2">categorical_logit_log</a>(<span class="keywordtype">int</span> n,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                          <span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                          beta) {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::categorical_logit_log&quot;</span>);</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">stan::math::log_sum_exp</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;categorical outcome out of support&quot;</span>, n,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                    1, beta.size());</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;log odds parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="comment">// FIXME:  wasteful vs. creating term (n-1) if not vectorized</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keywordflow">return</span> beta(n-1) - <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(beta);  <span class="comment">// == log_softmax(beta)(n-1);</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aea64526bd00e285844c6eb1246ccf431">   45</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a35594af0b1635f8bc2817ca8a2c767f2">categorical_logit_log</a>(<span class="keywordtype">int</span> n,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                          <span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                          beta) {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordflow">return</span> categorical_logit_log&lt;false&gt;(n, beta);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;              <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac06f8075869ffd32c8a0385e57bc2170">   54</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a35594af0b1635f8bc2817ca8a2c767f2">categorical_logit_log</a>(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; ns,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                          <span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                          beta) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::categorical_logit_log&quot;</span>);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">stan::math::log_softmax</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = 0; k &lt; ns.size(); ++k)</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;categorical outcome out of support&quot;</span>,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                      ns[k], 1, beta.size());</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;log odds parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_prob&gt;::value</a>)</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">if</span> (ns.size() == 0)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt; log_softmax_beta</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        = <a class="code" href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">log_softmax</a>(beta);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// FIXME:  replace with more efficient sum()</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T_prob&gt;::type,</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                    Eigen::Dynamic, 1&gt; results(ns.size());</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; ns.size(); ++i)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        results[i] = log_softmax_beta(ns[i] - 1);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>(results);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00089"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac35ff747de556a8f351efda0e986a832">   89</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a35594af0b1635f8bc2817ca8a2c767f2">categorical_logit_log</a>(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; ns,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                          <span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                          beta) {</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">return</span> categorical_logit_log&lt;false&gt;(ns, beta);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;  }</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;}</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a35594af0b1635f8bc2817ca8a2c767f2"><div class="ttname"><a href="namespacestan_1_1math.html#a35594af0b1635f8bc2817ca8a2c767f2">stan::math::categorical_logit_log</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T_prob &gt;::type categorical_logit_log(int n, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="categorical__logit__log_8hpp_source.html#l00022">categorical_logit_log.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a558975cc79251cd99966f99ed8795ddc"><div class="ttname"><a href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">stan::math::log_softmax</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt; log_softmax(const Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt; &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2log__softmax_8hpp_source.html#l00016">log_softmax.hpp:16</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="prim_2arr_2fun_2log__sum__exp_8hpp_html"><div class="ttname"><a href="prim_2arr_2fun_2log__sum__exp_8hpp.html">log_sum_exp.hpp</a></div></div>
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+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2log__sum__exp_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__sum__exp_8hpp.html">log_sum_exp.hpp</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__simplex_8hpp_source.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+<p><a href="categorical__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a1f8b55cdaa59f3fe7718d5b45889cda6"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a1f8b55cdaa59f3fe7718d5b45889cda6"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1f8b55cdaa59f3fe7718d5b45889cda6">stan::math::categorical_rng</a> (const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;theta, RNG &amp;rng)</td></tr>
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+<a href="categorical__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_CATEGORICAL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_CATEGORICAL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__simplex_8hpp.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2sum_8hpp.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1f8b55cdaa59f3fe7718d5b45889cda6">   20</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a1f8b55cdaa59f3fe7718d5b45889cda6">categorical_rng</a>(<span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; theta,</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                    RNG&amp; rng) {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> boost::uniform_01;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math::check_simplex</a>;</div>
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+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      Eigen::VectorXd index(theta.rows());</div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      }</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordtype">double</span> c = uniform01_rng();</div>
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+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__simplex_8hpp_html"><div class="ttname"><a href="check__simplex_8hpp.html">check_simplex.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1f8b55cdaa59f3fe7718d5b45889cda6"><div class="ttname"><a href="namespacestan_1_1math.html#a1f8b55cdaa59f3fe7718d5b45889cda6">stan::math::categorical_rng</a></div><div class="ttdeci">int categorical_rng(const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;theta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="categorical__rng_8hpp_source.html#l00020">categorical_rng.hpp:20</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2sum_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2sum_8hpp.html">sum.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6affd19d4999c427291a2bbb07bce304"><div class="ttname"><a href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math::check_simplex</a></div><div class="ttdeci">bool check_simplex(const char *function, const char *name, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</div><div class="ttdoc">Return true if the specified vector is simplex. </div><div class="ttdef"><b>Definition:</b> <a href="check__simplex_8hpp_source.html#l00041">check_simplex.hpp:41</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">cauchy_ccdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/cauchy_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="cauchy__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:aa932af729313abe32571d8a3742385ed"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:aa932af729313abe32571d8a3742385ed"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa932af729313abe32571d8a3742385ed">stan::math::cauchy_ccdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:aa932af729313abe32571d8a3742385ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</div><!--header-->
+<div class="contents">
+<a href="cauchy__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_CAUCHY_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_CAUCHY_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/cauchy_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa932af729313abe32571d8a3742385ed">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa932af729313abe32571d8a3742385ed">cauchy_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma) ) )</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::cauchy_cdf&quot;</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Scale Parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// Compute CDFLog and its gradients</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6f0398656b862b1b2eb80145f4877b11">std::atan</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_inv_dbl = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keyword">const</span> T_partials_return z = (y_dbl - mu_dbl) * sigma_inv_dbl;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 0.5 - <a class="code" href="namespacestan_1_1math.html#a6f0398656b862b1b2eb80145f4877b11">atan</a>(z) / <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>();</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        ccdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = 1.0 / (Pn * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>()</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                                                   * (z * z * sigma_dbl</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                                                      + sigma_dbl));</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= rep_deriv;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += rep_deriv;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += rep_deriv * z;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(ccdf_log);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;  }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;}</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa932af729313abe32571d8a3742385ed"><div class="ttname"><a href="namespacestan_1_1math.html#aa932af729313abe32571d8a3742385ed">stan::math::cauchy_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type cauchy_ccdf_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="cauchy__ccdf__log_8hpp_source.html#l00026">cauchy_ccdf_log.hpp:26</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="title">cauchy_cdf.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/cauchy_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="cauchy__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:ab7ecad949e8b175b4b60f6f5cb16319b"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:ab7ecad949e8b175b4b60f6f5cb16319b"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab7ecad949e8b175b4b60f6f5cb16319b">stan::math::cauchy_cdf</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="memdesc:ab7ecad949e8b175b4b60f6f5cb16319b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the cauchy cumulative distribution function for the given variate, location, and scale.  <a href="namespacestan_1_1math.html#ab7ecad949e8b175b4b60f6f5cb16319b">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">cauchy_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="cauchy__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_CAUCHY_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_CAUCHY_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/cauchy_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab7ecad949e8b175b4b60f6f5cb16319b">   38</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab7ecad949e8b175b4b60f6f5cb16319b">cauchy_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma) ) )</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::cauchy_cdf&quot;</span>);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Scale Parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == -std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      }</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="comment">// Compute CDF and its gradients</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6f0398656b862b1b2eb80145f4877b11">std::atan</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_inv_dbl = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keyword">const</span> T_partials_return z = (y_dbl - mu_dbl) * sigma_inv_dbl;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#a6f0398656b862b1b2eb80145f4877b11">atan</a>(z) / <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>() + 0.5;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        P *= Pn;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
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+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
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+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
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+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
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+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>) {</div>
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+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma); ++n)</div>
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+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      }</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    }</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  }</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;}</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6f0398656b862b1b2eb80145f4877b11"><div class="ttname"><a href="namespacestan_1_1math.html#a6f0398656b862b1b2eb80145f4877b11">stan::math::atan</a></div><div class="ttdeci">fvar&lt; T &gt; atan(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2atan_8hpp_source.html#l00012">atan.hpp:12</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab7ecad949e8b175b4b60f6f5cb16319b"><div class="ttname"><a href="namespacestan_1_1math.html#ab7ecad949e8b175b4b60f6f5cb16319b">stan::math::cauchy_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type cauchy_cdf(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdoc">Calculates the cauchy cumulative distribution function for the given variate, location, and scale. </div><div class="ttdef"><b>Definition:</b> <a href="cauchy__cdf_8hpp_source.html#l00038">cauchy_cdf.hpp:38</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p_8hpp.html">log1p.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa2ffd66726e0532160e16e6b48d6f428"><div class="ttname"><a href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a></div><div class="ttdeci">double pi()</div><div class="ttdoc">Return the value of pi. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00086">constants.hpp:86</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">cauchy_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/cauchy_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="cauchy__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a689566206e25e90e590c2655d3b49032"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a689566206e25e90e590c2655d3b49032"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a689566206e25e90e590c2655d3b49032">stan::math::cauchy_cdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
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+<div class="title">cauchy_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="cauchy__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_CAUCHY_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_CAUCHY_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/cauchy_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a689566206e25e90e590c2655d3b49032">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a689566206e25e90e590c2655d3b49032">cauchy_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma) ) )</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::cauchy_cdf&quot;</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Scale Parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// Compute CDFLog and its gradients</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6f0398656b862b1b2eb80145f4877b11">std::atan</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_inv_dbl = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keyword">const</span> T_partials_return z = (y_dbl - mu_dbl) * sigma_inv_dbl;</div>
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+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#a6f0398656b862b1b2eb80145f4877b11">atan</a>(z) / <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>() + 0.5;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        cdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          = 1.0 / (<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>() * Pn * (z * z * sigma_dbl + sigma_dbl));</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= rep_deriv;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv * z;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;}</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a689566206e25e90e590c2655d3b49032"><div class="ttname"><a href="namespacestan_1_1math.html#a689566206e25e90e590c2655d3b49032">stan::math::cauchy_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type cauchy_cdf_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="cauchy__cdf__log_8hpp_source.html#l00026">cauchy_cdf_log.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p_8hpp.html">log1p.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa2ffd66726e0532160e16e6b48d6f428"><div class="ttname"><a href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a></div><div class="ttdeci">double pi()</div><div class="ttdoc">Return the value of pi. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00086">constants.hpp:86</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/cauchy_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="cauchy__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a57b702de583e1883c8abd5b2fbba4b0d"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a57b702de583e1883c8abd5b2fbba4b0d"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a57b702de583e1883c8abd5b2fbba4b0d">stan::math::cauchy_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="memdesc:a57b702de583e1883c8abd5b2fbba4b0d"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of the Cauchy density for the specified scalar(s) given the specified location parameter(s) and scale parameter(s).  <a href="namespacestan_1_1math.html#a57b702de583e1883c8abd5b2fbba4b0d">More...</a><br /></td></tr>
+<tr class="separator:a57b702de583e1883c8abd5b2fbba4b0d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6ffc7f40b61588318f20c738202fc5fc"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a6ffc7f40b61588318f20c738202fc5fc"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6ffc7f40b61588318f20c738202fc5fc">stan::math::cauchy_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
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+<div class="title">cauchy_log.hpp</div>  </div>
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+<a href="cauchy__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_CAUCHY_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_CAUCHY_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/cauchy_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
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+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
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+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">stan::math::log1p</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_scale&gt;</a> inv_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<span class="keyword">true</span>, T_partials_return,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                    T_scale&gt; sigma_squared(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                    T_partials_return, T_scale&gt; log_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++) {</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        inv_sigma[i] = 1.0 / sigma_dbl;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        sigma_squared[i] = sigma_dbl * sigma_dbl;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;          log_sigma[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(sigma_dbl);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        }</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="comment">// pull out values of arguments</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="comment">// reusable subexpression values</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keyword">const</span> T_partials_return y_minus_mu</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          = y_dbl - mu_dbl;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keyword">const</span> T_partials_return y_minus_mu_squared</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          = y_minus_mu * y_minus_mu;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return y_minus_mu_over_sigma</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          = y_minus_mu * inv_sigma[n];</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keyword">const</span> T_partials_return y_minus_mu_over_sigma_squared</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          = y_minus_mu_over_sigma * y_minus_mu_over_sigma;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="comment">// log probability</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#a0f964e25c3ad3515549ead08428ff7cf">NEG_LOG_PI</a>;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          logp -= log_sigma[n];</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          logp -= <a class="code" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">log1p</a>(y_minus_mu_over_sigma_squared);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= 2 * y_minus_mu</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            / (sigma_squared[n] + y_minus_mu_squared);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += 2 * y_minus_mu</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            / (sigma_squared[n] + y_minus_mu_squared);</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;            += (y_minus_mu_squared - sigma_squared[n])</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            * inv_sigma[n] / (sigma_squared[n] + y_minus_mu_squared);</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;      }</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    }</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;</div>
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+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00147"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6ffc7f40b61588318f20c738202fc5fc">  147</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a57b702de583e1883c8abd5b2fbba4b0d">cauchy_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;      <span class="keywordflow">return</span> cauchy_log&lt;false&gt;(y, mu, sigma);</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    }</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;</div>
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+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;}</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0f964e25c3ad3515549ead08428ff7cf"><div class="ttname"><a href="namespacestan_1_1math.html#a0f964e25c3ad3515549ead08428ff7cf">stan::math::NEG_LOG_PI</a></div><div class="ttdeci">const double NEG_LOG_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00186">constants.hpp:186</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/cauchy_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+<p><a href="cauchy__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:ab9ddbccee3c214e6fc88f297b6524d0b"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:ab9ddbccee3c214e6fc88f297b6524d0b"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab9ddbccee3c214e6fc88f297b6524d0b">stan::math::cauchy_rng</a> (const double mu, const double sigma, RNG &amp;rng)</td></tr>
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+<div class="title">cauchy_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="cauchy__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_CAUCHY_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_CAUCHY_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/cauchy_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab9ddbccee3c214e6fc88f297b6524d0b">   22</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab9ddbccee3c214e6fc88f297b6524d0b">cauchy_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> mu,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;               <span class="keyword">const</span> <span class="keywordtype">double</span> sigma,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;               RNG&amp; rng) {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> boost::random::cauchy_distribution;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::cauchy_rng&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      variate_generator&lt;RNG&amp;, cauchy_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <a class="code" href="namespacestan_1_1math.html#ab9ddbccee3c214e6fc88f297b6524d0b">cauchy_rng</a>(rng, cauchy_distribution&lt;&gt;(mu, sigma));</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#ab9ddbccee3c214e6fc88f297b6524d0b">cauchy_rng</a>();</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;}</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab9ddbccee3c214e6fc88f297b6524d0b"><div class="ttname"><a href="namespacestan_1_1math.html#ab9ddbccee3c214e6fc88f297b6524d0b">stan::math::cauchy_rng</a></div><div class="ttdeci">double cauchy_rng(const double mu, const double sigma, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="cauchy__rng_8hpp_source.html#l00022">cauchy_rng.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p_8hpp.html">log1p.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="chainablestack_8hpp_source.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</code><br />
+</div>
+<p><a href="chainable__alloc_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:a51e82d34e0b2fc4df4b9edd6ccd048c7"><td class="memItemLeft" align="right" valign="top">typedef AutodiffStackStorage&lt; vari, chainable_alloc &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">stan::math::ChainableStack</a></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a16d53b31b377bc3fc120d6469af3d99e"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_low , typename T_high &gt; </td></tr>
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+<tr class="memdesc:a16d53b31b377bc3fc120d6469af3d99e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the value is between the low and high values, inclusively.  <a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">More...</a><br /></td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_BOUNDED_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error__vec_8hpp.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="max__size_8hpp.html">stan/math/prim/scal/meta/max_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="namespacestan_1_1math_1_1detail.html">   13</a></span>&#160;    <span class="keyword">namespace </span>detail {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="comment">// implemented using structs because there is no partial specialization</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="comment">// for templated functions</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="comment">//</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="comment">// default implementation works for scalar T_y. T_low and T_high can</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="comment">// be either scalar or vector</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="comment">//</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="comment">// throws if y, low, or high is nan</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_low, <span class="keyword">typename</span> T_high,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                <span class="keywordtype">bool</span> y_is_vec&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1detail_1_1bounded.html">   24</a></span>&#160;      <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1detail_1_1bounded.html">bounded</a> {</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                          <span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                          <span class="keyword">const</span> T_low&amp; low,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                          <span class="keyword">const</span> T_high&amp; high) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a>;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;          <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_low&gt;</a> low_vec(low);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;          <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_high&gt;</a> high_vec(high);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(low, high); n++) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;            <span class="keywordflow">if</span> (!(low_vec[n] &lt;= y &amp;&amp; y &lt;= high_vec[n])) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;              std::stringstream msg;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;              msg &lt;&lt; <span class="stringliteral">&quot;, but must be between &quot;</span>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;              msg &lt;&lt; <span class="stringliteral">&quot;(&quot;</span> &lt;&lt; low_vec[n] &lt;&lt; <span class="stringliteral">&quot;, &quot;</span> &lt;&lt; high_vec[n] &lt;&lt; <span class="stringliteral">&quot;)&quot;</span>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;              std::string msg_str(msg.str());</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;              <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, name, y,</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                           <span class="stringliteral">&quot;is &quot;</span>, msg_str.c_str());</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;          }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;          <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      };</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_low, <span class="keyword">typename</span> T_high&gt;</div>
+<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html">   49</a></span>&#160;      <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1detail_1_1bounded.html">bounded</a>&lt;T_y, T_low, T_high, true&gt; {</div>
+<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html#afd17ed95a354d3786d35986021c2f559">   50</a></span>&#160;        <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code" href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html#afd17ed95a354d3786d35986021c2f559">check</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                          <span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                          <span class="keyword">const</span> T_low&amp; low,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                          <span class="keyword">const</span> T_high&amp; high) {</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;          <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_low&gt;</a> low_vec(low);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;          <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_high&gt;</a> high_vec(high);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++) {</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            <span class="keywordflow">if</span> (!(low_vec[n] &lt;= <span class="keyword">get</span>(y, n) &amp;&amp; <span class="keyword">get</span>(y, n) &lt;= high_vec[n])) {</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;              std::stringstream msg;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;              msg &lt;&lt; <span class="stringliteral">&quot;, but must be between &quot;</span>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;              msg &lt;&lt; <span class="stringliteral">&quot;(&quot;</span> &lt;&lt; low_vec[n] &lt;&lt; <span class="stringliteral">&quot;, &quot;</span> &lt;&lt; high_vec[n] &lt;&lt; <span class="stringliteral">&quot;)&quot;</span>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;              std::string msg_str(msg.str());</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;              <a class="code" href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">domain_error_vec</a>(<span class="keyword">function</span>, name, y, n,</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                               <span class="stringliteral">&quot;is &quot;</span>, msg_str.c_str());</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;          }</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        }</div>
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+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                              <span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                              <span class="keyword">const</span> T_low&amp; low,</div>
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+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                             <a class="code" href="structstan_1_1is__vector__like.html">is_vector_like&lt;T_y&gt;::value</a>&gt;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        ::check(<span class="keyword">function</span>, name, y, low, high);</div>
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+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
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+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;}</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="structstan_1_1is__vector__like_html"><div class="ttname"><a href="structstan_1_1is__vector__like.html">stan::is_vector_like</a></div><div class="ttdoc">Template metaprogram indicates whether a type is vector_like. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__vector__like_8hpp_source.html#l00021">is_vector_like.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4_html_afd17ed95a354d3786d35986021c2f559"><div class="ttname"><a href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html#afd17ed95a354d3786d35986021c2f559">stan::math::detail::bounded&lt; T_y, T_low, T_high, true &gt;::check</a></div><div class="ttdeci">static bool check(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00050">check_bounded.hpp:50</a></div></div>
+<div class="ttc" id="domain__error__vec_8hpp_html"><div class="ttname"><a href="domain__error__vec_8hpp.html">domain_error_vec.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1detail_1_1bounded_html_aacb059ebca7a577b043db54f9f79cc9f"><div class="ttname"><a href="structstan_1_1math_1_1detail_1_1bounded.html#aacb059ebca7a577b043db54f9f79cc9f">stan::math::detail::bounded::check</a></div><div class="ttdeci">static bool check(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00025">check_bounded.hpp:25</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7c23bfe9ebcb5747ed175a59b2182072"><div class="ttname"><a href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">stan::math::domain_error_vec</a></div><div class="ttdeci">void domain_error_vec(const char *function, const char *name, const T &amp;y, const size_t i, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error__vec_8hpp_source.html#l00038">domain_error_vec.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a431bd201f09a215cccb16cda10a1e840"><div class="ttname"><a href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a></div><div class="ttdeci">T get(const std::vector&lt; T &gt; &amp;x, size_t n)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2get_8hpp_source.html#l00010">get.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1detail_1_1bounded_html"><div class="ttname"><a href="structstan_1_1math_1_1detail_1_1bounded.html">stan::math::detail::bounded</a></div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00024">check_bounded.hpp:24</a></div></div>
+<div class="ttc" id="domain__error_8hpp_html"><div class="ttname"><a href="domain__error_8hpp.html">domain_error.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__lower__triangular_8hpp_source.html">stan/math/prim/mat/err/check_lower_triangular.hpp</a>&gt;</code><br />
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+<p><a href="check__cholesky__factor_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a6a07026df8b25226da59ac45f8e679c9"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a6a07026df8b25226da59ac45f8e679c9"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6a07026df8b25226da59ac45f8e679c9">stan::math::check_cholesky_factor</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a6a07026df8b25226da59ac45f8e679c9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified matrix is a valid Cholesky factor.  <a href="namespacestan_1_1math.html#a6a07026df8b25226da59ac45f8e679c9">More...</a><br /></td></tr>
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+<a href="check__cholesky__factor_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_CHOLESKY_FACTOR_HPP</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
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+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6a07026df8b25226da59ac45f8e679c9">   35</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6a07026df8b25226da59ac45f8e679c9">check_cholesky_factor</a>(</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
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+<div class="ttc" id="check__lower__triangular_8hpp_html"><div class="ttname"><a href="check__lower__triangular_8hpp.html">check_lower_triangular.hpp</a></div></div>
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+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e9dd0895901bf876eca824b41f04003"><div class="ttname"><a href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a></div><div class="ttdeci">bool check_less_or_equal(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is less or equal to high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less__or__equal_8hpp_source.html#l00081">check_less_or_equal.hpp:81</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__lower__triangular_8hpp_source.html">stan/math/prim/mat/err/check_lower_triangular.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constraint__tolerance_8hpp_source.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__unit__vector_8hpp_source.html">stan/math/prim/mat/err/check_unit_vector.hpp</a>&gt;</code><br />
+</div>
+<p><a href="check__cholesky__factor__corr_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa2df70fec3388f7969c873e6aa071b7e"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:aa2df70fec3388f7969c873e6aa071b7e"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa2df70fec3388f7969c873e6aa071b7e">stan::math::check_cholesky_factor_corr</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:aa2df70fec3388f7969c873e6aa071b7e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified matrix is a valid Cholesky factor of a correlation matrix.  <a href="namespacestan_1_1math.html#aa2df70fec3388f7969c873e6aa071b7e">More...</a><br /></td></tr>
+<tr class="separator:aa2df70fec3388f7969c873e6aa071b7e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</div><!--header-->
+<div class="contents">
+<a href="check__cholesky__factor__corr_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_CHOLESKY_FACTOR_CORR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_CHOLESKY_FACTOR_CORR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__lower__triangular_8hpp.html">stan/math/prim/mat/err/check_lower_triangular.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
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+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
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+<div class="ttc" id="constraint__tolerance_8hpp_html"><div class="ttname"><a href="constraint__tolerance_8hpp.html">constraint_tolerance.hpp</a></div></div>
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+<div class="ttc" id="check__unit__vector_8hpp_html"><div class="ttname"><a href="check__unit__vector_8hpp.html">check_unit_vector.hpp</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="title">check_column_index.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="out__of__range_8hpp_source.html">stan/math/prim/scal/err/out_of_range.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__column__index_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a16b0a60f741f97efac53254839f24ff8"><td class="memTemplParams" colspan="2">template&lt;typename T_y , int R, int C&gt; </td></tr>
+<tr class="memitem:a16b0a60f741f97efac53254839f24ff8"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a16b0a60f741f97efac53254839f24ff8">stan::math::check_column_index</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, R, C &gt; &amp;y, const size_t i)</td></tr>
+<tr class="memdesc:a16b0a60f741f97efac53254839f24ff8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified index is a valid column of the matrix.  <a href="namespacestan_1_1math.html#a16b0a60f741f97efac53254839f24ff8">More...</a><br /></td></tr>
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+<a href="check__column__index_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_COLUMN_INDEX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_COLUMN_INDEX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="out__of__range_8hpp.html">stan/math/prim/scal/err/out_of_range.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="invalid__argument_8hpp_source.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="size__of_8hpp_source.html">stan/math/prim/scal/meta/size_of.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__consistent__size_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a6b6ab798e2f2a2ffad6b244efab0a58f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6b6ab798e2f2a2ffad6b244efab0a58f"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">stan::math::check_consistent_size</a> (const char *function, const char *name, const T &amp;x, size_t expected_size)</td></tr>
+<tr class="memdesc:a6b6ab798e2f2a2ffad6b244efab0a58f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the dimension of x is consistent, which is defined to be <code>expected_size</code> if x is a vector or 1 if x is not a vector.  <a href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__size_8hpp_source.html">stan/math/prim/scal/err/check_consistent_size.hpp</a>&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
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+<tr class="memdesc:a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the dimension of x1 is consistent with x2.  <a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">More...</a><br /></td></tr>
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+<tr class="memitem:a2fa5d10851fe1307ed7a0ffb768ff861"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename T3 &gt; </td></tr>
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+<a href="check__consistent__sizes_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_CONSISTENT_SIZES_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">   31</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name1,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                                       <span class="keyword">const</span> T1&amp; x1,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name2,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                                       <span class="keyword">const</span> T2&amp; x2) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__vector.html">stan::is_vector</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a> = <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::max</a>(<a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T1&gt;::value</a> * <a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x1),</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T2&gt;::value</a> * <a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x2));</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name1, x1, max_size)</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        &amp;&amp; <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name2, x2, max_size);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3&gt;</div>
+<div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a2fa5d10851fe1307ed7a0ffb768ff861">   66</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name1,</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                                       <span class="keyword">const</span> T1&amp; x1,</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name2,</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                                       <span class="keyword">const</span> T2&amp; x2,</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name3,</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                                       <span class="keyword">const</span> T3&amp; x3) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a> = <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::max</a>(<a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T1&gt;::value</a> * <a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x1),</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                                 <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::max</a>(<a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T2&gt;::value</a> * <a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x2),</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                                          <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T3&gt;::value</a> * <a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x3)));</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name1, x1, max_size)</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        &amp;&amp; <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name2, x2, max_size)</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        &amp;&amp; <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name3, x3, max_size);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    }</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3, <span class="keyword">typename</span> T4&gt;</div>
+<div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a817ff4687b2d9d98f7f7bf82e9286266">  107</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name1,</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                                       <span class="keyword">const</span> T1&amp; x1,</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name2,</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                                       <span class="keyword">const</span> T2&amp; x2,</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name3,</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                                       <span class="keyword">const</span> T3&amp; x3,</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name4,</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                                       <span class="keyword">const</span> T4&amp; x4) {</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a></div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        = <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::max</a>(<a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T1&gt;::value</a> * <a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x1),</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;                   <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::max</a>(<a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T2&gt;::value</a> * <a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x2),</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;                            <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::max</a>(<a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T3&gt;::value</a> * <a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x3),</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                                     <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T4&gt;::value</a> * <a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x4))));</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name1, x1, max_size)</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        &amp;&amp; <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name2, x2, max_size)</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        &amp;&amp; <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name3, x3, max_size)</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        &amp;&amp; <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name4, x4, max_size);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    }</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3, <span class="keyword">typename</span> T4,</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;              <span class="keyword">typename</span> T5&gt;</div>
+<div class="line"><a name="l00128"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8496e1bd1273f06de6712e3fb81e2c3f">  128</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name1,</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                                       <span class="keyword">const</span> T1&amp; x1,</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name2,</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                                       <span class="keyword">const</span> T2&amp; x2,</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name3,</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                                       <span class="keyword">const</span> T3&amp; x3,</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name4,</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                                       <span class="keyword">const</span> T4&amp; x4,</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name5,</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                                       <span class="keyword">const</span> T5&amp; x5) {</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a> = <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::max</a>(<a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x1),</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;                                 <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::max</a>(<a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x2),</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;                                          <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::max</a>(<a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x3),</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                                            <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::max</a>(<a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x4),</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                                                     <a class="code" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">size_of</a>(x5)))));</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name1, x1, max_size)</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        &amp;&amp; <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name2, x2, max_size)</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        &amp;&amp; <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name3, x3, max_size)</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        &amp;&amp; <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name4, x4, max_size)</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        &amp;&amp; <a class="code" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">check_consistent_size</a>(<span class="keyword">function</span>, name5, x5, max_size);</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    }</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;  }</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;}</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="check__consistent__size_8hpp_html"><div class="ttname"><a href="check__consistent__size_8hpp.html">check_consistent_size.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__vector_html"><div class="ttname"><a href="structstan_1_1is__vector.html">stan::is_vector</a></div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__vector_8hpp_source.html#l00010">is_vector.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6b6ab798e2f2a2ffad6b244efab0a58f"><div class="ttname"><a href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">stan::math::check_consistent_size</a></div><div class="ttdeci">bool check_consistent_size(const char *function, const char *name, const T &amp;x, size_t expected_size)</div><div class="ttdoc">Return true if the dimension of x is consistent, which is defined to be expected_size if x is a vecto...</div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__size_8hpp_source.html#l00029">check_consistent_size.hpp:29</a></div></div>
+<div class="ttc" id="namespacestan_html_a4741beaf7ec88631fd2735cadf05365f"><div class="ttname"><a href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">stan::size_of</a></div><div class="ttdeci">size_t size_of(const T &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="size__of_8hpp_source.html#l00024">size_of.hpp:24</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__size_8hpp_source.html">stan/math/prim/scal/err/check_positive_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__pos__definite_8hpp_source.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constraint__tolerance_8hpp_source.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__corr__matrix_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a4f56159e67a4047107cc552702abaa6c"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a4f56159e67a4047107cc552702abaa6c"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4f56159e67a4047107cc552702abaa6c">stan::math::check_corr_matrix</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a4f56159e67a4047107cc552702abaa6c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified matrix is a valid correlation matrix.  <a href="namespacestan_1_1math.html#a4f56159e67a4047107cc552702abaa6c">More...</a><br /></td></tr>
+<tr class="separator:a4f56159e67a4047107cc552702abaa6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+<div class="title">check_corr_matrix.hpp</div>  </div>
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+<a href="check__corr__matrix_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_CORR_MATRIX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_CORR_MATRIX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constraint__tolerance_8hpp.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__pos__definite_8hpp_source.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</code><br />
+</div>
+<p><a href="check__cov__matrix_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a6e298b7563329829cb79930a121223b1"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a6e298b7563329829cb79930a121223b1"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6e298b7563329829cb79930a121223b1">stan::math::check_cov_matrix</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a6e298b7563329829cb79930a121223b1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified matrix is a valid covariance matrix.  <a href="namespacestan_1_1math.html#a6e298b7563329829cb79930a121223b1">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error__vec_8hpp_source.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2get_8hpp_source.html">stan/math/prim/scal/meta/get.hpp</a>&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
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+<p><a href="check__equal_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a1d8cfae284cdae1bb7e83d2a136f9a04"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_eq &gt; </td></tr>
+<tr class="memitem:a1d8cfae284cdae1bb7e83d2a136f9a04"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1d8cfae284cdae1bb7e83d2a136f9a04">stan::math::check_equal</a> (const char *function, const char *name, const T_y &amp;y, const T_eq &amp;eq)</td></tr>
+<tr class="memdesc:a1d8cfae284cdae1bb7e83d2a136f9a04"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is equal to <code>eq</code>.  <a href="namespacestan_1_1math.html#a1d8cfae284cdae1bb7e83d2a136f9a04">More...</a><br /></td></tr>
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+<div class="header">
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+<div class="title">check_equal.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="check__equal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_EQUAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_EQUAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error__vec_8hpp.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2get_8hpp.html">stan/math/prim/scal/meta/get.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y,</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;                <span class="keyword">typename</span> T_eq,</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;                <span class="keywordtype">bool</span> is_vec&gt;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">struct </span>equal {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        <span class="keyword">static</span> <span class="keywordtype">bool</span> check(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;                          <span class="keyword">const</span> T_eq&amp; eq) {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;          VectorView&lt;const T_eq&gt; eq_vec(eq);</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(eq); n++) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;            <span class="keywordflow">if</span> (!(y == eq_vec[n])) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;              std::stringstream msg;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;              msg &lt;&lt; <span class="stringliteral">&quot;, but must be equal to &quot;</span>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;              msg &lt;&lt; eq_vec[n];</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;              std::string msg_str(msg.str());</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;              <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, name, y,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                           <span class="stringliteral">&quot;is &quot;</span>, msg_str.c_str());</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;            }</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;          }</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;          <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        }</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      };</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// throws if y or eq is nan</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y,</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                <span class="keyword">typename</span> T_eq&gt;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">struct </span>equal&lt;T_y, T_eq, true&gt; {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keyword">static</span> <span class="keywordtype">bool</span> check(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                          <span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                          <span class="keyword">const</span> T_eq&amp; eq) {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          VectorView&lt;const T_eq&gt; eq_vec(eq);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;            <span class="keywordflow">if</span> (!(<span class="keyword">get</span>(y, n) == eq_vec[n])) {</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;              std::stringstream msg;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;              msg &lt;&lt; <span class="stringliteral">&quot;, but must be equal to &quot;</span>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;              msg &lt;&lt; eq_vec[n];</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;              std::string msg_str(msg.str());</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;              <a class="code" href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">domain_error_vec</a>(<span class="keyword">function</span>, name, y, n,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                               <span class="stringliteral">&quot;is &quot;</span>, msg_str.c_str());</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            }</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;          }</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;          <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        }</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      };</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_eq&gt;</div>
+<div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1d8cfae284cdae1bb7e83d2a136f9a04">   90</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a1d8cfae284cdae1bb7e83d2a136f9a04">check_equal</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                            <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                            <span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                            <span class="keyword">const</span> T_eq&amp; eq) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">return</span> equal&lt;T_y, T_eq, is_vector_like&lt;T_y&gt;::value&gt;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        ::check(<span class="keyword">function</span>, name, y, eq);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    }</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;  }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;}</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="domain__error__vec_8hpp_html"><div class="ttname"><a href="domain__error__vec_8hpp.html">domain_error_vec.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2get_8hpp_html"><div class="ttname"><a href="scal_2meta_2get_8hpp.html">get.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7c23bfe9ebcb5747ed175a59b2182072"><div class="ttname"><a href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">stan::math::domain_error_vec</a></div><div class="ttdeci">void domain_error_vec(const char *function, const char *name, const T &amp;y, const size_t i, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error__vec_8hpp_source.html#l00038">domain_error_vec.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1d8cfae284cdae1bb7e83d2a136f9a04"><div class="ttname"><a href="namespacestan_1_1math.html#a1d8cfae284cdae1bb7e83d2a136f9a04">stan::math::check_equal</a></div><div class="ttdeci">bool check_equal(const char *function, const char *name, const T_y &amp;y, const T_eq &amp;eq)</div><div class="ttdoc">Return true if y is equal to eq. </div><div class="ttdef"><b>Definition:</b> <a href="check__equal_8hpp_source.html#l00090">check_equal.hpp:90</a></div></div>
+<div class="ttc" id="namespacestan_html_a431bd201f09a215cccb16cda10a1e840"><div class="ttname"><a href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a></div><div class="ttdeci">T get(const std::vector&lt; T &gt; &amp;x, size_t n)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2get_8hpp_source.html#l00010">get.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="domain__error_8hpp_html"><div class="ttname"><a href="domain__error_8hpp.html">domain_error.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error__vec_8hpp_source.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of__rec_8hpp_source.html">stan/math/prim/scal/fun/value_of_rec.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+</div>
+<p><a href="check__finite_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a5bf014e7733b17748049ccc5f3565de3"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a5bf014e7733b17748049ccc5f3565de3"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a> (const char *function, const char *name, const T_y &amp;y)</td></tr>
+<tr class="memdesc:a5bf014e7733b17748049ccc5f3565de3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is finite.  <a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_cdd3f4f1b37d2b043170244117af2e90.html">err</a></li>  </ul>
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+<div class="title">check_finite.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="check__finite_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_FINITE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_FINITE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error__vec_8hpp.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector__like_8hpp.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of__rec_8hpp.html">stan/math/prim/scal/fun/value_of_rec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keywordtype">bool</span> is_vec&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">struct </span>finite {</div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">stan::math::value_of_rec</a>;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;          <span class="keywordflow">if</span> (!(<a class="code" href="namespaceboost_1_1math.html#a99b3c9ca2565e57981ac77d110c0f26d">boost::math::isfinite</a>)(<a class="code" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">value_of_rec</a>(y)))</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
+<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">   62</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="keyword">const</span> T_y&amp; y) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordflow">return</span> finite&lt;T_y, is_vector_like&lt;T_y&gt;::value&gt;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        ::check(<span class="keyword">function</span>, name, y);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    }</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;}</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a99b3c9ca2565e57981ac77d110c0f26d"><div class="ttname"><a href="namespaceboost_1_1math.html#a99b3c9ca2565e57981ac77d110c0f26d">boost::math::isfinite</a></div><div class="ttdeci">bool isfinite(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number has finite value. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isfinite_8hpp_source.html#l00022">boost_isfinite.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a00b8cbdec7c35e7c93b0f47dae3c5498"><div class="ttname"><a href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">stan::math::value_of_rec</a></div><div class="ttdeci">double value_of_rec(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of__rec_8hpp_source.html#l00021">value_of_rec.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="domain__error__vec_8hpp_html"><div class="ttname"><a href="domain__error__vec_8hpp.html">domain_error_vec.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2is__vector__like_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__vector__like_8hpp.html">is_vector_like.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7c23bfe9ebcb5747ed175a59b2182072"><div class="ttname"><a href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">stan::math::domain_error_vec</a></div><div class="ttdeci">void domain_error_vec(const char *function, const char *name, const T &amp;y, const size_t i, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error__vec_8hpp_source.html#l00038">domain_error_vec.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a431bd201f09a215cccb16cda10a1e840"><div class="ttname"><a href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a></div><div class="ttdeci">T get(const std::vector&lt; T &gt; &amp;x, size_t n)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2get_8hpp_source.html#l00010">get.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of__rec_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of__rec_8hpp.html">value_of_rec.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="domain__error_8hpp_html"><div class="ttname"><a href="domain__error_8hpp.html">domain_error.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error__vec_8hpp_source.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;functional&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__greater_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_low &gt; </td></tr>
+<tr class="memitem:ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a> (const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</td></tr>
+<tr class="memdesc:ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is strictly greater than <code>low</code>.  <a href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">More...</a><br /></td></tr>
+<tr class="separator:ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+</div>
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+<a href="check__greater_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_GREATER_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_GREATER_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error__vec_8hpp_source.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__greater__or__equal_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a3d5b19f8930c14681349d8444142487e"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_low &gt; </td></tr>
+<tr class="memitem:a3d5b19f8930c14681349d8444142487e"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a> (const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</td></tr>
+<tr class="memdesc:a3d5b19f8930c14681349d8444142487e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is greater or equal than <code>low</code>.  <a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_cdd3f4f1b37d2b043170244117af2e90.html">err</a></li>  </ul>
+</div>
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+  <div class="headertitle">
+<div class="title">check_greater_or_equal.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="check__greater__or__equal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_GREATER_OR_EQUAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_GREATER_OR_EQUAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector__like_8hpp.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error__vec_8hpp.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y,</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;                <span class="keyword">typename</span> T_low,</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;                <span class="keywordtype">bool</span> is_vec&gt;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">struct </span>greater_or_equal {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        <span class="keyword">static</span> <span class="keywordtype">bool</span> check(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                          <span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;                          <span class="keyword">const</span> T_low&amp; low) {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;          VectorView&lt;const T_low&gt; low_vec(low);</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(low); n++) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;            <span class="keywordflow">if</span> (!(y &gt;= low_vec[n])) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;              std::stringstream msg;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;              msg &lt;&lt; <span class="stringliteral">&quot;, but must be greater than or equal to &quot;</span>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;              msg &lt;&lt; low_vec[n];</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;              std::string msg_str(msg.str());</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;              <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, name, y,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                           <span class="stringliteral">&quot;is &quot;</span>, msg_str.c_str());</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;            }</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;          }</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;          <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        }</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      };</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                <span class="keyword">typename</span> T_low&gt;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">struct </span>greater_or_equal&lt;T_y, T_low, true&gt; {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keyword">static</span> <span class="keywordtype">bool</span> check(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;                          <span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;                          <span class="keyword">const</span> T_low&amp; low) {</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;          VectorView&lt;const T_low&gt; low_vec(low);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            <span class="keywordflow">if</span> (!(<span class="keyword">get</span>(y, n) &gt;= low_vec[n])) {</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;              std::stringstream msg;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;              msg &lt;&lt; <span class="stringliteral">&quot;, but must be greater than or equal to &quot;</span>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;              msg &lt;&lt; low_vec[n];</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;              std::string msg_str(msg.str());</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;              <a class="code" href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">domain_error_vec</a>(<span class="keyword">function</span>, name, y, n,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                               <span class="stringliteral">&quot;is &quot;</span>, msg_str.c_str());</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            }</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;          }</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;          <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        }</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      };</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    }</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_low&gt;</div>
+<div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">   84</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">check_greater_or_equal</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                                       <span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                                       <span class="keyword">const</span> T_low&amp; low) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keywordflow">return</span> greater_or_equal&lt;T_y, T_low, is_vector_like&lt;T_y&gt;::value&gt;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        ::check(<span class="keyword">function</span>, name, y, low);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;  }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;}</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="domain__error__vec_8hpp_html"><div class="ttname"><a href="domain__error__vec_8hpp.html">domain_error_vec.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2is__vector__like_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__vector__like_8hpp.html">is_vector_like.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7c23bfe9ebcb5747ed175a59b2182072"><div class="ttname"><a href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">stan::math::domain_error_vec</a></div><div class="ttdeci">void domain_error_vec(const char *function, const char *name, const T &amp;y, const size_t i, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error__vec_8hpp_source.html#l00038">domain_error_vec.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a431bd201f09a215cccb16cda10a1e840"><div class="ttname"><a href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a></div><div class="ttdeci">T get(const std::vector&lt; T &gt; &amp;x, size_t n)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2get_8hpp_source.html#l00010">get.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="domain__error_8hpp_html"><div class="ttname"><a href="domain__error_8hpp.html">domain_error.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="title">check_ldlt_factor.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__ldlt__factor_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a7547b05717280b1cc041309803ec797d"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a7547b05717280b1cc041309803ec797d"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math::check_ldlt_factor</a> (const char *function, const char *name, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt; &amp;A)</td></tr>
+<tr class="memdesc:a7547b05717280b1cc041309803ec797d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the argument is a valid <code><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a></code>.  <a href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">More...</a><br /></td></tr>
+<tr class="separator:a7547b05717280b1cc041309803ec797d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">check_ldlt_factor.hpp</div>  </div>
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+<a href="check__ldlt__factor_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_LDLT_FACTOR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_LDLT_FACTOR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;sstream&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">   34</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">check_ldlt_factor</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                                  <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">if</span> (!A.<a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a22f6b503fe331aeeac5368b1f10eac0d">success</a>()) {</div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        msg &lt;&lt; <span class="stringliteral">&quot;is not positive definite. &quot;</span></div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keyword">const</span> T too_small = A.<a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#afdec334e2365f43cdbe5a352cb353e2e">vectorD</a>().tail(1)(0);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, name, too_small,</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;                     msg_str.c_str(), <span class="stringliteral">&quot;.&quot;</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      }</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    }</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;  }</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;}</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html_a22f6b503fe331aeeac5368b1f10eac0d"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a22f6b503fe331aeeac5368b1f10eac0d">stan::math::LDLT_factor&lt; T, R, C &gt;::success</a></div><div class="ttdeci">bool success() const </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00074">LDLT_factor.hpp:74</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">LDLT_factor.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="domain__error_8hpp_html"><div class="ttname"><a href="domain__error_8hpp.html">domain_error.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></div><div class="ttdoc">LDLT_factor is a thin wrapper on Eigen::LDLT to allow for reusing factorizations and efficient autodi...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00058">LDLT_factor.hpp:58</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7547b05717280b1cc041309803ec797d"><div class="ttname"><a href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math::check_ldlt_factor</a></div><div class="ttdeci">bool check_ldlt_factor(const char *function, const char *name, stan::math::LDLT_factor&lt; T, R, C &gt; &amp;A)</div><div class="ttdoc">Return true if the argument is a valid stan::math::LDLT_factor. </div><div class="ttdef"><b>Definition:</b> <a href="check__ldlt__factor_8hpp_source.html#l00034">check_ldlt_factor.hpp:34</a></div></div>
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+<div class="title">check_less.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error__vec_8hpp_source.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;functional&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__less_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:aab225792149dceaec443ce09b93f8744"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_high &gt; </td></tr>
+<tr class="memitem:aab225792149dceaec443ce09b93f8744"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math::check_less</a> (const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</td></tr>
+<tr class="memdesc:aab225792149dceaec443ce09b93f8744"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is strictly less than <code>high</code>.  <a href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">More...</a><br /></td></tr>
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+<div class="title">check_less.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="check__less_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_LESS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_LESS_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error__vec_8hpp.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector__like_8hpp.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;functional&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_high, <span class="keywordtype">bool</span> is_vec&gt;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">struct </span>less {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        <span class="keyword">static</span> <span class="keywordtype">bool</span> check(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                          <span class="keyword">const</span> T_y&amp; y,</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;          VectorView&lt;const T_high&gt; high_vec(high);</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                          <span class="keyword">const</span> T_high&amp; high) {</div>
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+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;          VectorView&lt;const T_high&gt; high_vec(high);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++) {</div>
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+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;              std::stringstream msg;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;              msg &lt;&lt; <span class="stringliteral">&quot;, but must be less than &quot;</span>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;              msg &lt;&lt; high_vec[n];</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;              std::string msg_str(msg.str());</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;              <a class="code" href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">domain_error_vec</a>(<span class="keyword">function</span>, name, y, n,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                               <span class="stringliteral">&quot;is &quot;</span>, msg_str.c_str());</div>
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+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_high&gt;</div>
+<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">   81</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">check_less</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                           <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                           <span class="keyword">const</span> T_y&amp; y,</div>
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+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        ::check(<span class="keyword">function</span>, name, y, high);</div>
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+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  }</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;}</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error__vec_8hpp_source.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2get_8hpp_source.html">stan/math/prim/scal/meta/get.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__less__or__equal_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a5e9dd0895901bf876eca824b41f04003"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_high &gt; </td></tr>
+<tr class="memitem:a5e9dd0895901bf876eca824b41f04003"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a> (const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</td></tr>
+<tr class="memdesc:a5e9dd0895901bf876eca824b41f04003"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is less or equal to <code>high</code>.  <a href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">More...</a><br /></td></tr>
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+<div class="contents">
+<a href="check__less__or__equal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_LESS_OR_EQUAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_LESS_OR_EQUAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error__vec_8hpp.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2get_8hpp.html">stan/math/prim/scal/meta/get.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector__like_8hpp.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_high, <span class="keywordtype">bool</span> is_vec&gt;</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                          <span class="keyword">const</span> T_high&amp; high) {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>;</div>
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+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
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+</div>
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+<div class="title">check_lower_triangular.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__lower__triangular_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:acd07dd6b395becbbd349814c0e55c0d9"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:acd07dd6b395becbbd349814c0e55c0d9"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acd07dd6b395becbbd349814c0e55c0d9">stan::math::check_lower_triangular</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:acd07dd6b395becbbd349814c0e55c0d9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified matrix is lower triangular.  <a href="namespacestan_1_1math.html#acd07dd6b395becbbd349814c0e55c0d9">More...</a><br /></td></tr>
+<tr class="separator:acd07dd6b395becbbd349814c0e55c0d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
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+<hr/>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </i>
+  </span>
+</div>
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+<a href="check__lower__triangular_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_LOWER_TRIANGULAR_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+</div>
+<p><a href="check__matching__dims_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa1149504bbf29d464f23508ca5eccc0a"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:aa1149504bbf29d464f23508ca5eccc0a"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa1149504bbf29d464f23508ca5eccc0a">stan::math::check_matching_dims</a> (const char *function, const char *name1, const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;y1, const char *name2, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;y2)</td></tr>
+<tr class="memdesc:aa1149504bbf29d464f23508ca5eccc0a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the two matrices are of the same size.  <a href="namespacestan_1_1math.html#aa1149504bbf29d464f23508ca5eccc0a">More...</a><br /></td></tr>
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+<a href="check__matching__dims_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_MATCHING_DIMS_HPP</span></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="title">check_matching_sizes.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+</div>
+<p><a href="check__matching__sizes_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a52ba893fcf6fc650e992c13d41fbc3ae"><td class="memTemplParams" colspan="2">template&lt;typename T_y1 , typename T_y2 &gt; </td></tr>
+<tr class="memitem:a52ba893fcf6fc650e992c13d41fbc3ae"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a52ba893fcf6fc650e992c13d41fbc3ae">stan::math::check_matching_sizes</a> (const char *function, const char *name1, const T_y1 &amp;y1, const char *name2, const T_y2 &amp;y2)</td></tr>
+<tr class="memdesc:a52ba893fcf6fc650e992c13d41fbc3ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if two structures at the same size.  <a href="namespacestan_1_1math.html#a52ba893fcf6fc650e992c13d41fbc3ae">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa547146eaac690e79a611e50a6dffb4d"><div class="ttname"><a href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a></div><div class="ttdeci">bool check_size_match(const char *function, const char *name_i, T_size1 i, const char *name_j, T_size2 j)</div><div class="ttdoc">Return true if the provided sizes match. </div><div class="ttdef"><b>Definition:</b> <a href="check__size__match_8hpp_source.html#l00030">check_size_match.hpp:30</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__size_8hpp_source.html">stan/math/prim/scal/err/check_positive_size.hpp</a>&gt;</code><br />
+</div>
+<p><a href="check__multiplicable_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a3cfbb4f09fe34b9ece32be051f16ce66"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a3cfbb4f09fe34b9ece32be051f16ce66"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a> (const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</td></tr>
+<tr class="memdesc:a3cfbb4f09fe34b9ece32be051f16ce66"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the matrices can be multiplied.  <a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">More...</a><br /></td></tr>
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+<a href="check__multiplicable_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_MULTIPLICABLE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_MULTIPLICABLE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;</div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="check__positive__size_8hpp_html"><div class="ttname"><a href="check__positive__size_8hpp.html">check_positive_size.hpp</a></div></div>
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+<div class="title">check_nonnegative.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error__vec_8hpp_source.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2value__type_8hpp_source.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/type_traits/is_unsigned.hpp&gt;</code><br />
+</div>
+<p><a href="check__nonnegative_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a7a6be100befb6d08504cf5af8440b236"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a7a6be100befb6d08504cf5af8440b236"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a> (const char *function, const char *name, const T_y &amp;y)</td></tr>
+<tr class="memdesc:a7a6be100befb6d08504cf5af8440b236"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is non-negative.  <a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">More...</a><br /></td></tr>
+<tr class="separator:a7a6be100befb6d08504cf5af8440b236"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+  </span>
+</div>
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+<a href="check__nonnegative_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_NONNEGATIVE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_NONNEGATIVE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2value__type_8hpp.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector__like_8hpp.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits/is_unsigned.hpp&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
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+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                                  <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
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+<div class="ttc" id="scal_2meta_2is__vector__like_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__vector__like_8hpp.html">is_vector_like.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html_a431bd201f09a215cccb16cda10a1e840"><div class="ttname"><a href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a></div><div class="ttdeci">T get(const std::vector&lt; T &gt; &amp;x, size_t n)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2get_8hpp_source.html#l00010">get.hpp:10</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1value__type_html"><div class="ttname"><a href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a></div><div class="ttdoc">Primary template class for metaprogram to compute the type of values stored in a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2value__type_8hpp_source.html#l00018">value_type.hpp:18</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="invalid__argument_8hpp_source.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__nonzero__size_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a97c3c23033e47a923ed5ce26a4deeba5"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a97c3c23033e47a923ed5ce26a4deeba5"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a> (const char *function, const char *name, const T_y &amp;y)</td></tr>
+<tr class="memdesc:a97c3c23033e47a923ed5ce26a4deeba5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified matrix/vector is of non-zero size.  <a href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">More...</a><br /></td></tr>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error__vec_8hpp_source.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of__rec_8hpp_source.html">stan/math/prim/scal/fun/value_of_rec.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+</div>
+<p><a href="check__not__nan_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a7942532ef8f89cee24af75a383835ee1"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a7942532ef8f89cee24af75a383835ee1"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a> (const char *function, const char *name, const T_y &amp;y)</td></tr>
+<tr class="memdesc:a7942532ef8f89cee24af75a383835ee1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is not <code>NaN</code>.  <a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_cdd3f4f1b37d2b043170244117af2e90.html">err</a></li>  </ul>
+</div>
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+<div class="title">check_not_nan.hpp</div>  </div>
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+<a href="check__not__nan_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_NOT_NAN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_NOT_NAN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector__like_8hpp.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error__vec_8hpp.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of__rec_8hpp.html">stan/math/prim/scal/fun/value_of_rec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keywordtype">bool</span> is_vec&gt;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">struct </span>not_nan {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        <span class="keyword">static</span> <span class="keywordtype">bool</span> check(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                          <span class="keyword">const</span> T_y&amp; y) {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">stan::math::value_of_rec</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;          <span class="keywordflow">if</span> ((<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>)(<a class="code" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">value_of_rec</a>(y)))</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;            <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, name, y,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                         <span class="stringliteral">&quot;is &quot;</span>, <span class="stringliteral">&quot;, but must not be nan!&quot;</span>);</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;          <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        }</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      };</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">struct </span>not_nan&lt;T_y, true&gt; {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        <span class="keyword">static</span> <span class="keywordtype">bool</span> check(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                          <span class="keyword">const</span> T_y&amp; y) {</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;            <span class="keywordflow">if</span> ((<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>)(<a class="code" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">value_of_rec</a>(<a class="code" href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a>(y, n))))</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      };</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">   63</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                              <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                              <span class="keyword">const</span> T_y&amp; y) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">return</span> not_nan&lt;T_y, is_vector_like&lt;T_y&gt;::value&gt;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        ::check(<span class="keyword">function</span>, name, y);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;  }</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;}</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a00b8cbdec7c35e7c93b0f47dae3c5498"><div class="ttname"><a href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">stan::math::value_of_rec</a></div><div class="ttdeci">double value_of_rec(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of__rec_8hpp_source.html#l00021">value_of_rec.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="domain__error__vec_8hpp_html"><div class="ttname"><a href="domain__error__vec_8hpp.html">domain_error_vec.hpp</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a9ec9f6ad1870e35178068fd12a0d04ea"><div class="ttname"><a href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a></div><div class="ttdeci">bool isnan(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is NaN. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isnan_8hpp_source.html#l00022">boost_isnan.hpp:22</a></div></div>
+<div class="ttc" id="scal_2meta_2is__vector__like_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__vector__like_8hpp.html">is_vector_like.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7c23bfe9ebcb5747ed175a59b2182072"><div class="ttname"><a href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">stan::math::domain_error_vec</a></div><div class="ttdeci">void domain_error_vec(const char *function, const char *name, const T &amp;y, const size_t i, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error__vec_8hpp_source.html#l00038">domain_error_vec.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a431bd201f09a215cccb16cda10a1e840"><div class="ttname"><a href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a></div><div class="ttdeci">T get(const std::vector&lt; T &gt; &amp;x, size_t n)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2get_8hpp_source.html#l00010">get.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of__rec_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of__rec_8hpp.html">value_of_rec.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="domain__error_8hpp_html"><div class="ttname"><a href="domain__error_8hpp.html">domain_error.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_db363a718912ec2005360e40fa2f7ce3.html">err</a></li>  </ul>
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+<div class="title">check_pos_definite.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="mat_2meta_2get_8hpp_source.html">stan/math/prim/mat/meta/get.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2length_8hpp_source.html">stan/math/prim/mat/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2is__vector_8hpp_source.html">stan/math/prim/mat/meta/is_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/mat/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constraint__tolerance_8hpp_source.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__size_8hpp_source.html">stan/math/prim/scal/err/check_positive_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2value__of__rec_8hpp_source.html">stan/math/prim/mat/fun/value_of_rec.hpp</a>&gt;</code><br />
+</div>
+<p><a href="check__pos__definite_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a73c78430d39530eb8c4ef3fed06f7082"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a73c78430d39530eb8c4ef3fed06f7082"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a73c78430d39530eb8c4ef3fed06f7082">stan::math::check_pos_definite</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a73c78430d39530eb8c4ef3fed06f7082"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified square, symmetric matrix is positive definite.  <a href="namespacestan_1_1math.html#a73c78430d39530eb8c4ef3fed06f7082">More...</a><br /></td></tr>
+<tr class="separator:a73c78430d39530eb8c4ef3fed06f7082"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac0662f5d1e64e1adfa2f6216d1d58d6a"><td class="memTemplParams" colspan="2">template&lt;typename Derived &gt; </td></tr>
+<tr class="memitem:ac0662f5d1e64e1adfa2f6216d1d58d6a"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac0662f5d1e64e1adfa2f6216d1d58d6a">stan::math::check_pos_definite</a> (const char *function, const char *name, const Eigen::LDLT&lt; Derived &gt; &amp;cholesky)</td></tr>
+<tr class="memdesc:ac0662f5d1e64e1adfa2f6216d1d58d6a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified LDLT transform of a matrix is positive definite.  <a href="namespacestan_1_1math.html#ac0662f5d1e64e1adfa2f6216d1d58d6a">More...</a><br /></td></tr>
+<tr class="separator:ac0662f5d1e64e1adfa2f6216d1d58d6a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a32de4907da5087c01bfdda45a8ab1ede"><td class="memTemplParams" colspan="2">template&lt;typename Derived &gt; </td></tr>
+<tr class="memitem:a32de4907da5087c01bfdda45a8ab1ede"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a32de4907da5087c01bfdda45a8ab1ede">stan::math::check_pos_definite</a> (const char *function, const char *name, const Eigen::LLT&lt; Derived &gt; &amp;cholesky)</td></tr>
+<tr class="memdesc:a32de4907da5087c01bfdda45a8ab1ede"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified LLT transform of a matrix is positive definite.  <a href="namespacestan_1_1math.html#a32de4907da5087c01bfdda45a8ab1ede">More...</a><br /></td></tr>
+<tr class="separator:a32de4907da5087c01bfdda45a8ab1ede"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_db363a718912ec2005360e40fa2f7ce3.html">err</a></li>  </ul>
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+<div class="title">check_pos_definite.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="check__pos__definite_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_POS_DEFINITE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_POS_DEFINITE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2get_8hpp.html">stan/math/prim/mat/meta/get.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2length_8hpp.html">stan/math/prim/mat/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2is__vector_8hpp.html">stan/math/prim/mat/meta/is_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2is__vector__like_8hpp.html">stan/math/prim/mat/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constraint__tolerance_8hpp.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__size_8hpp.html">stan/math/prim/scal/err/check_positive_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2value__of__rec_8hpp.html">stan/math/prim/mat/fun/value_of_rec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a73c78430d39530eb8c4ef3fed06f7082">   37</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a73c78430d39530eb8c4ef3fed06f7082">check_pos_definite</a>(</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    ) {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">check_symmetric</a>(<span class="keyword">function</span>, name, y);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ac6fe1398a136f3dc36d246a2ea747500">check_positive_size</a>(<span class="keyword">function</span>, name, <span class="stringliteral">&quot;rows&quot;</span>, y.rows());</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordflow">if</span> (y.rows() == 1 &amp;&amp; !(y(0, 0) &gt; <a class="code" href="namespacestan_1_1math.html#aece739c5a2672028f0c7848045b89f08">CONSTRAINT_TOLERANCE</a>))</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, name, y, <span class="stringliteral">&quot;is not positive definite: &quot;</span>);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> Eigen::LDLT;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      LDLT&lt; Matrix&lt;double, Dynamic, Dynamic&gt; &gt; cholesky</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        = <a class="code" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">value_of_rec</a>(y).ldlt();</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">if</span> (cholesky.info() != Eigen::Success</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;          || !cholesky.isPositive()</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;          || (cholesky.vectorD().array() &lt;= 0.0).any())</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, name, y, <span class="stringliteral">&quot;is not positive definite:\n&quot;</span>);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, name, y);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    }</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Derived&gt;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac0662f5d1e64e1adfa2f6216d1d58d6a">   77</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a73c78430d39530eb8c4ef3fed06f7082">check_pos_definite</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                       <span class="keyword">const</span> Eigen::LDLT&lt;Derived&gt;&amp; cholesky) {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">if</span> (cholesky.info() != Eigen::Success</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          || !cholesky.isPositive()</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          || !(cholesky.vectorD().array() &gt; 0.0).all())</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;LDLT decomposition of&quot;</span>, <span class="stringliteral">&quot; failed&quot;</span>, name);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Derived&gt;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constraint__tolerance_8hpp_source.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__size_8hpp_source.html">stan/math/prim/scal/err/check_positive_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2value__of__rec_8hpp_source.html">stan/math/prim/mat/fun/value_of_rec.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
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+<p><a href="check__pos__semidefinite_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a02cfec85c227ec8307c522c00df02928"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a02cfec85c227ec8307c522c00df02928"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a02cfec85c227ec8307c522c00df02928">stan::math::check_pos_semidefinite</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a02cfec85c227ec8307c522c00df02928"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified matrix is positive definite.  <a href="namespacestan_1_1math.html#a02cfec85c227ec8307c522c00df02928">More...</a><br /></td></tr>
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+<a href="check__pos__semidefinite_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_POS_SEMIDEFINITE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_POS_SEMIDEFINITE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constraint__tolerance_8hpp.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__size_8hpp.html">stan/math/prim/scal/err/check_positive_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2value__of__rec_8hpp.html">stan/math/prim/mat/fun/value_of_rec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;sstream&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a02cfec85c227ec8307c522c00df02928">   35</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a02cfec85c227ec8307c522c00df02928">check_pos_semidefinite</a>(</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    ) {</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ac6fe1398a136f3dc36d246a2ea747500">check_positive_size</a>(<span class="keyword">function</span>, name, <span class="stringliteral">&quot;rows&quot;</span>, y.rows());</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> (y.rows() == 1 &amp;&amp; !(y(0, 0) &gt;= 0.0))</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, name, y, <span class="stringliteral">&quot;is not positive semi-definite: &quot;</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> Eigen::LDLT;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      LDLT&lt;Matrix&lt;double, Dynamic, Dynamic&gt; &gt; cholesky</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        = <a class="code" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">value_of_rec</a>(y).ldlt();</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordflow">if</span> (cholesky.info() != Eigen::Success</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;          || (cholesky.vectorD().array() &lt; 0.0).any())</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, name, y, <span class="stringliteral">&quot;is not positive semi-definite:\n&quot;</span>);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, name, y);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  }</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;}</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2value__of__rec_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2value__of__rec_8hpp.html">value_of_rec.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac6fe1398a136f3dc36d246a2ea747500"><div class="ttname"><a href="namespacestan_1_1math.html#ac6fe1398a136f3dc36d246a2ea747500">stan::math::check_positive_size</a></div><div class="ttdeci">bool check_positive_size(const char *function, const char *name, const char *expr, const int size)</div><div class="ttdoc">Return true if size is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__size_8hpp_source.html#l00023">check_positive_size.hpp:23</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a00b8cbdec7c35e7c93b0f47dae3c5498"><div class="ttname"><a href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">stan::math::value_of_rec</a></div><div class="ttdeci">double value_of_rec(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of__rec_8hpp_source.html#l00021">value_of_rec.hpp:21</a></div></div>
+<div class="ttc" id="constraint__tolerance_8hpp_html"><div class="ttname"><a href="constraint__tolerance_8hpp.html">constraint_tolerance.hpp</a></div></div>
+<div class="ttc" id="check__symmetric_8hpp_html"><div class="ttname"><a href="check__symmetric_8hpp.html">check_symmetric.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a02cfec85c227ec8307c522c00df02928"><div class="ttname"><a href="namespacestan_1_1math.html#a02cfec85c227ec8307c522c00df02928">stan::math::check_pos_semidefinite</a></div><div class="ttdeci">bool check_pos_semidefinite(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is positive definite. </div><div class="ttdef"><b>Definition:</b> <a href="check__pos__semidefinite_8hpp_source.html#l00035">check_pos_semidefinite.hpp:35</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="domain__error_8hpp_html"><div class="ttname"><a href="domain__error_8hpp.html">domain_error.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab874d14a9441896a9d9e0172ba555357"><div class="ttname"><a href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a></div><div class="ttdeci">bool check_symmetric(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is symmetric. </div><div class="ttdef"><b>Definition:</b> <a href="check__symmetric_8hpp_source.html#l00037">check_symmetric.hpp:37</a></div></div>
+<div class="ttc" id="check__positive__size_8hpp_html"><div class="ttname"><a href="check__positive__size_8hpp.html">check_positive_size.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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diff --git a/doc/api/html/check__positive_8hpp.html b/doc/api/html/check__positive_8hpp.html
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_cdd3f4f1b37d2b043170244117af2e90.html">err</a></li>  </ul>
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+<div class="title">check_positive.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error__vec_8hpp_source.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2value__type_8hpp_source.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2get_8hpp_source.html">stan/math/prim/scal/meta/get.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/type_traits/is_unsigned.hpp&gt;</code><br />
+</div>
+<p><a href="check__positive_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a814694b1125e641ca7b2e7269c82f966"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a814694b1125e641ca7b2e7269c82f966"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a> (const char *function, const char *name, const T_y &amp;y)</td></tr>
+<tr class="memdesc:a814694b1125e641ca7b2e7269c82f966"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is positive.  <a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">More...</a><br /></td></tr>
+<tr class="separator:a814694b1125e641ca7b2e7269c82f966"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+</div><!-- contents -->
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+  <span style="float:left; margin=0 1em 0 1em;">
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/check__positive_8hpp_source.html b/doc/api/html/check__positive_8hpp_source.html
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+<div class="title">check_positive.hpp</div>  </div>
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+<a href="check__positive_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_POSITIVE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_POSITIVE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error__vec_8hpp.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2value__type_8hpp.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2get_8hpp.html">stan/math/prim/scal/meta/get.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector__like_8hpp.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits/is_unsigned.hpp&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keywordtype">bool</span> is_vec&gt;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">struct </span>positive {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        <span class="keyword">static</span> <span class="keywordtype">bool</span> check(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;                          <span class="keyword">const</span> T_y&amp; y) {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;          <span class="comment">// have to use not is_unsigned. is_signed will be false</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;          <span class="comment">// floating point types that have no unsigned versions.</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;          <span class="keywordflow">if</span> (!boost::is_unsigned&lt;T_y&gt;::value &amp;&amp; !(y &gt; 0))</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;            <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, name, y,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                         <span class="stringliteral">&quot;is &quot;</span>, <span class="stringliteral">&quot;, but must be &gt; 0!&quot;</span>);</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">struct </span>positive&lt;T_y, true&gt; {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        <span class="keyword">static</span> <span class="keywordtype">bool</span> check(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
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+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
+<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">   68</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                               <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                               <span class="keyword">const</span> T_y&amp; y) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">return</span> positive&lt;T_y, is_vector_like&lt;T_y&gt;::value&gt;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        ::check(<span class="keyword">function</span>, name, y);</div>
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+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;}</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="domain__error__vec_8hpp_html"><div class="ttname"><a href="domain__error__vec_8hpp.html">domain_error_vec.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2is__vector__like_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__vector__like_8hpp.html">is_vector_like.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7c23bfe9ebcb5747ed175a59b2182072"><div class="ttname"><a href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">stan::math::domain_error_vec</a></div><div class="ttdeci">void domain_error_vec(const char *function, const char *name, const T &amp;y, const size_t i, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error__vec_8hpp_source.html#l00038">domain_error_vec.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a431bd201f09a215cccb16cda10a1e840"><div class="ttname"><a href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a></div><div class="ttdeci">T get(const std::vector&lt; T &gt; &amp;x, size_t n)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2get_8hpp_source.html#l00010">get.hpp:10</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1value__type_html"><div class="ttname"><a href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a></div><div class="ttdoc">Primary template class for metaprogram to compute the type of values stored in a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2value__type_8hpp_source.html#l00018">value_type.hpp:18</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+</div>
+<p><a href="check__positive__finite_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:af0725693b09e454f5c8327ac89cf0245"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:af0725693b09e454f5c8327ac89cf0245"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a> (const char *function, const char *name, const T_y &amp;y)</td></tr>
+<tr class="memdesc:af0725693b09e454f5c8327ac89cf0245"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is positive and finite.  <a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">More...</a><br /></td></tr>
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+<a href="check__positive__finite_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_POSITIVE_FINITE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_POSITIVE_FINITE_HPP</span></div>
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+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2err_2check__ordered_8hpp_source.html">stan/math/prim/mat/err/check_ordered.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
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+<tr class="memdesc:a87f00a8c0f07c5a82145a14712437673"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified vector contains non-negative values and is sorted into strictly increasing order.  <a href="namespacestan_1_1math.html#a87f00a8c0f07c5a82145a14712437673">More...</a><br /></td></tr>
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+<div class="title">check_positive_ordered.hpp</div>  </div>
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+<a href="check__positive__ordered_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_POSITIVE_ORDERED_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_POSITIVE_ORDERED_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2err_2check__ordered_8hpp.html">stan/math/prim/mat/err/check_ordered.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;sstream&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keywordtype">bool</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a87f00a8c0f07c5a82145a14712437673">   32</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a87f00a8c0f07c5a82145a14712437673">check_positive_ordered</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
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+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        msg &lt;&lt; <span class="stringliteral">&quot;is not a valid positive_ordered vector.&quot;</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            &lt;&lt; <span class="stringliteral">&quot; The element at &quot;</span> &lt;&lt; <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></div>
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+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        std::string msg_str(msg.str());</div>
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+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                     msg_str.c_str(), <span class="stringliteral">&quot;, but should be postive.&quot;</span>);</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      }</div>
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+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;}</div>
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+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="domain__error_8hpp_html"><div class="ttname"><a href="domain__error_8hpp.html">domain_error.hpp</a></div></div>
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+<code>#include &lt;sstream&gt;</code><br />
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+<tr class="memdesc:ac6fe1398a136f3dc36d246a2ea747500"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>size</code> is positive.  <a href="namespacestan_1_1math.html#ac6fe1398a136f3dc36d246a2ea747500">More...</a><br /></td></tr>
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+<a href="check__positive__size_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_POSITIVE_SIZE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_POSITIVE_SIZE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="invalid__argument_8hpp.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  }</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="invalid__argument_8hpp_html"><div class="ttname"><a href="invalid__argument_8hpp.html">invalid_argument.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9bcb1af5657f92ccadf5204fc43377fd"><div class="ttname"><a href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">stan::math::invalid_argument</a></div><div class="ttdeci">void invalid_argument(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw an invalid_argument exception with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="invalid__argument_8hpp_source.html#l00031">invalid_argument.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="out__of__range_8hpp_source.html">stan/math/prim/scal/err/out_of_range.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__range_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:adcd4dcac328824f71f31d6861b8610ee"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">stan::math::check_range</a> (const char *function, const char *name, const int max, const int index, const int nested_level, const char *error_msg)</td></tr>
+<tr class="memdesc:adcd4dcac328824f71f31d6861b8610ee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if specified index is within range.  <a href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">More...</a><br /></td></tr>
+<tr class="separator:adcd4dcac328824f71f31d6861b8610ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8822ad6a9b8706465e8e1f90c336e3c2"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8822ad6a9b8706465e8e1f90c336e3c2">stan::math::check_range</a> (const char *function, const char *name, const int max, const int index, const char *error_msg)</td></tr>
+<tr class="memdesc:a8822ad6a9b8706465e8e1f90c336e3c2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if specified index is within range.  <a href="namespacestan_1_1math.html#a8822ad6a9b8706465e8e1f90c336e3c2">More...</a><br /></td></tr>
+<tr class="separator:a8822ad6a9b8706465e8e1f90c336e3c2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7e76ffb67d3c6c6c225b0ba7b991f449"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7e76ffb67d3c6c6c225b0ba7b991f449">stan::math::check_range</a> (const char *function, const char *name, const int max, const int index)</td></tr>
+<tr class="memdesc:a7e76ffb67d3c6c6c225b0ba7b991f449"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if specified index is within range.  <a href="namespacestan_1_1math.html#a7e76ffb67d3c6c6c225b0ba7b991f449">More...</a><br /></td></tr>
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+<div class="title">check_range.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="check__range_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_RANGE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_RANGE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="out__of__range_8hpp.html">stan/math/prim/scal/err/out_of_range.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="error__index_8hpp.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;sstream&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">   29</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">check_range</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                            <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                            <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a>,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                            <span class="keyword">const</span> <span class="keywordtype">int</span> index,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                            <span class="keyword">const</span> <span class="keywordtype">int</span> nested_level,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                            <span class="keyword">const</span> <span class="keywordtype">char</span>* error_msg) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordflow">if</span> ((index &gt;= <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>)</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;          &amp;&amp; (index &lt; max + <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>))</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      std::string msg_str(msg.str());</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
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+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                            <span class="keyword">const</span> <span class="keywordtype">char</span>* error_msg) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">if</span> ((index &gt;= <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>)</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;          &amp;&amp; (index &lt; max + <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>))</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a34583d3983ee4d61d09004ce3e278250">out_of_range</a>(<span class="keyword">function</span>, max, index, error_msg);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    }</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7e76ffb67d3c6c6c225b0ba7b991f449">   89</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">check_range</a>(<span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
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+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                            <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a>,</div>
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+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          &amp;&amp; (index &lt; max + <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>))</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;  }</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;}</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="out__of__range_8hpp_html"><div class="ttname"><a href="out__of__range_8hpp.html">out_of_range.hpp</a></div></div>
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+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="out__of__range_8hpp_source.html">stan/math/prim/scal/err/out_of_range.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__row__index_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:acb080867499e68f688b0dcb5c8f4e061"><td class="memTemplParams" colspan="2">template&lt;typename T_y , int R, int C&gt; </td></tr>
+<tr class="memitem:acb080867499e68f688b0dcb5c8f4e061"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acb080867499e68f688b0dcb5c8f4e061">stan::math::check_row_index</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, R, C &gt; &amp;y, size_t i)</td></tr>
+<tr class="memdesc:acb080867499e68f688b0dcb5c8f4e061"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified index is a valid row of the matrix.  <a href="namespacestan_1_1math.html#acb080867499e68f688b0dcb5c8f4e061">More...</a><br /></td></tr>
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+<a href="check__row__index_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_ROW_INDEX_HPP</span></div>
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+<div class="ttc" id="out__of__range_8hpp_html"><div class="ttname"><a href="out__of__range_8hpp.html">out_of_range.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1error__index_html_a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112"><div class="ttname"><a href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></div><div class="ttdef"><b>Definition:</b> <a href="error__index_8hpp_source.html#l00007">error_index.hpp:7</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34583d3983ee4d61d09004ce3e278250"><div class="ttname"><a href="namespacestan_1_1math.html#a34583d3983ee4d61d09004ce3e278250">stan::math::out_of_range</a></div><div class="ttdeci">void out_of_range(const char *function, const int max, const int index, const char *msg1=&quot;&quot;, const char *msg2=&quot;&quot;)</div><div class="ttdoc">Throw an out_of_range exception with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="out__of__range_8hpp_source.html#l00030">out_of_range.hpp:30</a></div></div>
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+<div class="title">check_simplex.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constraint__tolerance_8hpp_source.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__simplex_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a6affd19d4999c427291a2bbb07bce304"><td class="memTemplParams" colspan="2">template&lt;typename T_prob &gt; </td></tr>
+<tr class="memitem:a6affd19d4999c427291a2bbb07bce304"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math::check_simplex</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</td></tr>
+<tr class="memdesc:a6affd19d4999c427291a2bbb07bce304"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified vector is simplex.  <a href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">More...</a><br /></td></tr>
+<tr class="separator:a6affd19d4999c427291a2bbb07bce304"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<a href="check__simplex_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_SIMPLEX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_SIMPLEX_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constraint__tolerance_8hpp.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_prob&gt;</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        std::stringstream msg;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        T_prob <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a> = theta.sum();</div>
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+<div class="title">check_size_match.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/type_traits/common_type.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="invalid__argument_8hpp_source.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="likely_8hpp_source.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__size__match_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
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+<tr class="memdesc:aa547146eaac690e79a611e50a6dffb4d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the provided sizes match.  <a href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">More...</a><br /></td></tr>
+<tr class="separator:aa547146eaac690e79a611e50a6dffb4d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a0c66b22fce7bd878b687d550299eb248"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the provided sizes match.  <a href="namespacestan_1_1math.html#a0c66b22fce7bd878b687d550299eb248">More...</a><br /></td></tr>
+<tr class="separator:a0c66b22fce7bd878b687d550299eb248"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="check__size__match_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_CHECK_SIZE_MATCH_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_CHECK_SIZE_MATCH_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits/common_type.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="invalid__argument_8hpp.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="likely_8hpp.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
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+<div class="ttc" id="invalid__argument_8hpp_html"><div class="ttname"><a href="invalid__argument_8hpp.html">invalid_argument.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa547146eaac690e79a611e50a6dffb4d"><div class="ttname"><a href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a></div><div class="ttdeci">bool check_size_match(const char *function, const char *name_i, T_size1 i, const char *name_j, T_size2 j)</div><div class="ttdoc">Return true if the provided sizes match. </div><div class="ttdef"><b>Definition:</b> <a href="check__size__match_8hpp_source.html#l00030">check_size_match.hpp:30</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__size_8hpp_source.html">stan/math/prim/scal/err/check_positive_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__pos__semidefinite_8hpp_source.html">stan/math/prim/mat/err/check_pos_semidefinite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
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+<tr class="memitem:a7f80d208c430ed463474147d0e3ec3ce"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a7f80d208c430ed463474147d0e3ec3ce"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7f80d208c430ed463474147d0e3ec3ce">stan::math::check_spsd_matrix</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a7f80d208c430ed463474147d0e3ec3ce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified matrix is a square, symmetric, and positive semi-definite.  <a href="namespacestan_1_1math.html#a7f80d208c430ed463474147d0e3ec3ce">More...</a><br /></td></tr>
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+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
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+<tr class="memitem:a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified matrix is square.  <a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">More...</a><br /></td></tr>
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+<a href="check__square_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_SQUARE_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="out__of__range_8hpp_source.html">stan/math/prim/scal/err/out_of_range.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="check__std__vector__index_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a7ed873db07e833c14413c319a5bb9837"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a7ed873db07e833c14413c319a5bb9837"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7ed873db07e833c14413c319a5bb9837">stan::math::check_std_vector_index</a> (const char *function, const char *name, const std::vector&lt; T &gt; &amp;y, int i)</td></tr>
+<tr class="memdesc:a7ed873db07e833c14413c319a5bb9837"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified index is valid in std vector.  <a href="namespacestan_1_1math.html#a7ed873db07e833c14413c319a5bb9837">More...</a><br /></td></tr>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                                       <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="out__of__range_8hpp_html"><div class="ttname"><a href="out__of__range_8hpp.html">out_of_range.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1error__index_html_a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112"><div class="ttname"><a href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></div><div class="ttdef"><b>Definition:</b> <a href="error__index_8hpp_source.html#l00007">error_index.hpp:7</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34583d3983ee4d61d09004ce3e278250"><div class="ttname"><a href="namespacestan_1_1math.html#a34583d3983ee4d61d09004ce3e278250">stan::math::out_of_range</a></div><div class="ttdeci">void out_of_range(const char *function, const int max, const int index, const char *msg1=&quot;&quot;, const char *msg2=&quot;&quot;)</div><div class="ttdoc">Throw an out_of_range exception with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="out__of__range_8hpp_source.html#l00030">out_of_range.hpp:30</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constraint__tolerance_8hpp_source.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2value__of_8hpp_source.html">stan/math/prim/mat/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__symmetric_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ab874d14a9441896a9d9e0172ba555357"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:ab874d14a9441896a9d9e0172ba555357"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:ab874d14a9441896a9d9e0172ba555357"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified matrix is symmetric.  <a href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_db363a718912ec2005360e40fa2f7ce3.html">err</a></li>  </ul>
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+<div class="title">check_symmetric.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="check__symmetric_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_SYMMETRIC_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_SYMMETRIC_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constraint__tolerance_8hpp.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2value__of_8hpp.html">stan/math/prim/mat/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="error__index_8hpp.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">   37</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">check_symmetric</a>(</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>,</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">char</span>* name,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">check_square</a>(<span class="keyword">function</span>, name, y);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">std::fabs</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T_y, Dynamic, Dynamic&gt;</a> &gt;::type</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      size_type k = y.rows();</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">if</span> (k == 1)</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">for</span> (size_type m = 0; m &lt; k; ++m) {</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keywordflow">for</span> (size_type n = m + 1; n &lt; k; ++n) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;          <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">fabs</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y(m, n)) - <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y(n, m)))</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                &lt;= <a class="code" href="namespacestan_1_1math.html#aece739c5a2672028f0c7848045b89f08">CONSTRAINT_TOLERANCE</a>)) {</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            std::ostringstream msg1;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            msg1 &lt;&lt; <span class="stringliteral">&quot;is not symmetric. &quot;</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                 &lt;&lt; name &lt;&lt; <span class="stringliteral">&quot;[&quot;</span> &lt;&lt; <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a> + m &lt;&lt; <span class="stringliteral">&quot;,&quot;</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                 &lt;&lt; <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a> +n &lt;&lt; <span class="stringliteral">&quot;] = &quot;</span>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;            std::string msg1_str(msg1.str());</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;            std::ostringstream msg2;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;            msg2 &lt;&lt; <span class="stringliteral">&quot;, but &quot;</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                 &lt;&lt; name &lt;&lt; <span class="stringliteral">&quot;[&quot;</span> &lt;&lt; <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a> +n &lt;&lt; <span class="stringliteral">&quot;,&quot;</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                 &lt;&lt; <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a> + m</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                 &lt;&lt; <span class="stringliteral">&quot;] = &quot;</span> &lt;&lt; y(n, m);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;            std::string msg2_str(msg2.str());</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;            <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="keyword">function</span>, name, y(m, n),</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                         msg1_str.c_str(), msg2_str.c_str());</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          }</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        }</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    }</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  }</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;}</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6c79c9be5c64873b74f3c6924fef6911"><div class="ttname"><a href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">stan::math::fabs</a></div><div class="ttdeci">fvar&lt; T &gt; fabs(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fabs_8hpp_source.html#l00014">fabs.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="constraint__tolerance_8hpp_html"><div class="ttname"><a href="constraint__tolerance_8hpp.html">constraint_tolerance.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aece739c5a2672028f0c7848045b89f08"><div class="ttname"><a href="namespacestan_1_1math.html#aece739c5a2672028f0c7848045b89f08">stan::math::CONSTRAINT_TOLERANCE</a></div><div class="ttdeci">const double CONSTRAINT_TOLERANCE</div><div class="ttdoc">The tolerance for checking arithmetic bounds In rank and in simplexes. </div><div class="ttdef"><b>Definition:</b> <a href="constraint__tolerance_8hpp_source.html#l00011">constraint_tolerance.hpp:11</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1error__index_html_a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112"><div class="ttname"><a href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></div><div class="ttdef"><b>Definition:</b> <a href="error__index_8hpp_source.html#l00007">error_index.hpp:7</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="domain__error_8hpp_html"><div class="ttname"><a href="domain__error_8hpp.html">domain_error.hpp</a></div></div>
+<div class="ttc" id="error__index_8hpp_html"><div class="ttname"><a href="error__index_8hpp.html">error_index.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab874d14a9441896a9d9e0172ba555357"><div class="ttname"><a href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a></div><div class="ttdeci">bool check_symmetric(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is symmetric. </div><div class="ttdef"><b>Definition:</b> <a href="check__symmetric_8hpp_source.html#l00037">check_symmetric.hpp:37</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constraint__tolerance_8hpp_source.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__unit__vector_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:abde0b7cf68eab53d00c041fec244c735"><td class="memTemplParams" colspan="2">template&lt;typename T_prob &gt; </td></tr>
+<tr class="memitem:abde0b7cf68eab53d00c041fec244c735"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abde0b7cf68eab53d00c041fec244c735">stan::math::check_unit_vector</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</td></tr>
+<tr class="memdesc:abde0b7cf68eab53d00c041fec244c735"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified vector is unit vector.  <a href="namespacestan_1_1math.html#abde0b7cf68eab53d00c041fec244c735">More...</a><br /></td></tr>
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+<a href="check__unit__vector_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_UNIT_VECTOR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_CHECK_UNIT_VECTOR_HPP</span></div>
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+<div class="ttc" id="constraint__tolerance_8hpp_html"><div class="ttname"><a href="constraint__tolerance_8hpp.html">constraint_tolerance.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a97c3c23033e47a923ed5ce26a4deeba5"><div class="ttname"><a href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a></div><div class="ttdeci">bool check_nonzero_size(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if the specified matrix/vector is of non-zero size. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonzero__size_8hpp_source.html#l00030">check_nonzero_size.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="domain__error_8hpp_html"><div class="ttname"><a href="domain__error_8hpp.html">domain_error.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_abde0b7cf68eab53d00c041fec244c735"><div class="ttname"><a href="namespacestan_1_1math.html#abde0b7cf68eab53d00c041fec244c735">stan::math::check_unit_vector</a></div><div class="ttdeci">bool check_unit_vector(const char *function, const char *name, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</div><div class="ttdoc">Return true if the specified vector is unit vector. </div><div class="ttdef"><b>Definition:</b> <a href="check__unit__vector_8hpp_source.html#l00036">check_unit_vector.hpp:36</a></div></div>
+<div class="ttc" id="check__nonzero__size_8hpp_html"><div class="ttname"><a href="check__nonzero__size_8hpp.html">check_nonzero_size.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="invalid__argument_8hpp_source.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="check__vector_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a5b78e5ddf65db13aaa65a6c58205fbf2"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a5b78e5ddf65db13aaa65a6c58205fbf2"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5b78e5ddf65db13aaa65a6c58205fbf2">stan::math::check_vector</a> (const char *function, const char *name, const Eigen::Matrix&lt; T, R, C &gt; &amp;x)</td></tr>
+<tr class="memdesc:a5b78e5ddf65db13aaa65a6c58205fbf2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the matrix is either a row vector or column vector.  <a href="namespacestan_1_1math.html#a5b78e5ddf65db13aaa65a6c58205fbf2">More...</a><br /></td></tr>
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+<a href="check__vector_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_VECTOR_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="chi__square__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:af270a4206e4a52396b386b54c9a58ae9"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof &gt; </td></tr>
+<tr class="memitem:af270a4206e4a52396b386b54c9a58ae9"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af270a4206e4a52396b386b54c9a58ae9">stan::math::chi_square_ccdf_log</a> (const T_y &amp;y, const T_dof &amp;nu)</td></tr>
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+<div class="contents">
+<a href="chi__square__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_CHI_SQUARE_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_CHI_SQUARE_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof&gt;::type</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::chi_square_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof&gt;::type</a></div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> ccdf_log;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof&gt;</a></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        operands_and_partials(y, nu);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      }</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// Compute ccdf_log and its gradients</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                    T_partials_return, T_dof&gt; gamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                    T_partials_return, T_dof&gt; digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]) * 0.5;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        }</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="comment">// Compute vectorized ccdf_log and gradient</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]) * 0.5;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = 0.5;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 - <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">gamma_p</a>(alpha_dbl, beta_dbl * y_dbl);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        ccdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= beta_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_dbl, alpha_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            += 0.5 * <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(alpha_dbl, beta_dbl</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                                                    * y_dbl, gamma_vec[n],</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                                                    digamma_vec[n]) / Pn;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      }</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(ccdf_log);</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    }</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  }</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;}</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af270a4206e4a52396b386b54c9a58ae9"><div class="ttname"><a href="namespacestan_1_1math.html#af270a4206e4a52396b386b54c9a58ae9">stan::math::chi_square_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_dof &gt;::type chi_square_ccdf_log(const T_y &amp;y, const T_dof &amp;nu)</div><div class="ttdef"><b>Definition:</b> <a href="chi__square__ccdf__log_8hpp_source.html#l00030">chi_square_ccdf_log.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6336e9873f3029f5abe54c4914c71cb2"><div class="ttname"><a href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a></div><div class="ttdeci">T grad_reg_inc_gamma(T a, T z, T g, T dig, T precision=1e-6)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__gamma_8hpp_source.html#l00016">grad_reg_inc_gamma.hpp:16</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">chi_square_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="chi__square__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aa196f552535f61f4b2bd088da74cc142"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof &gt; </td></tr>
+<tr class="memitem:aa196f552535f61f4b2bd088da74cc142"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa196f552535f61f4b2bd088da74cc142">stan::math::chi_square_cdf</a> (const T_y &amp;y, const T_dof &amp;nu)</td></tr>
+<tr class="memdesc:aa196f552535f61f4b2bd088da74cc142"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the chi square cumulative distribution function for the given variate and degrees of freedom.  <a href="namespacestan_1_1math.html#aa196f552535f61f4b2bd088da74cc142">More...</a><br /></td></tr>
+<tr class="separator:aa196f552535f61f4b2bd088da74cc142"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+</div>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
+</div>
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+  <div class="headertitle">
+<div class="title">chi_square_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="chi__square__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_CHI_SQUARE_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_CHI_SQUARE_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof&gt;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof&gt;::type</div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa196f552535f61f4b2bd088da74cc142">   39</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa196f552535f61f4b2bd088da74cc142">chi_square_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu) {</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::chi_square_cdf&quot;</span>);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof&gt;::type</a></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      T_partials_return cdf(1.0);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu)))</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="keywordflow">return</span> cdf;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof&gt;</a></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        operands_and_partials(y, nu);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      }</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// Compute CDF and its gradients</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                    T_partials_return, T_dof&gt; gamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                    T_partials_return, T_dof&gt; digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]) * 0.5;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      }</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]) * 0.5;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = 0.5;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">gamma_p</a>(alpha_dbl, beta_dbl * y_dbl);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        cdf *= Pn;</div>
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+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += beta_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl)</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_dbl, alpha_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
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+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                                                    digamma_vec[n]) / Pn;</div>
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+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] *= cdf;</div>
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+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); ++n)</div>
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+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
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+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    }</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;  }</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;}</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa0fad89bd8e78eee42230dd92bcf1b15"><div class="ttname"><a href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_p(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__p_8hpp_source.html#l00015">gamma_p.hpp:15</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__p_8hpp.html">gamma_p.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa196f552535f61f4b2bd088da74cc142"><div class="ttname"><a href="namespacestan_1_1math.html#aa196f552535f61f4b2bd088da74cc142">stan::math::chi_square_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_dof &gt;::type chi_square_cdf(const T_y &amp;y, const T_dof &amp;nu)</div><div class="ttdoc">Calculates the chi square cumulative distribution function for the given variate and degrees of freed...</div><div class="ttdef"><b>Definition:</b> <a href="chi__square__cdf_8hpp_source.html#l00039">chi_square_cdf.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="chi__square__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:acbf0413c908e37c44c24ad81f99aa77f"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof &gt; </td></tr>
+<tr class="memitem:acbf0413c908e37c44c24ad81f99aa77f"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acbf0413c908e37c44c24ad81f99aa77f">stan::math::chi_square_cdf_log</a> (const T_y &amp;y, const T_dof &amp;nu)</td></tr>
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+<a href="chi__square__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_CHI_SQUARE_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_CHI_SQUARE_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof&gt;::type</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#acbf0413c908e37c44c24ad81f99aa77f">   30</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#acbf0413c908e37c44c24ad81f99aa77f">chi_square_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::chi_square_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof&gt;::type</a></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> cdf_log;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof&gt;</a></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        operands_and_partials(y, nu);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      }</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// Compute cdf_log and its gradients</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                    T_partials_return, T_dof&gt; gamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                    T_partials_return, T_dof&gt; digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]) * 0.5;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        }</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]) * 0.5;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = 0.5;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">gamma_p</a>(alpha_dbl, beta_dbl * y_dbl);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        cdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += beta_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_dbl, alpha_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            -= 0.5 * <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(alpha_dbl, beta_dbl</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                                                    * y_dbl, gamma_vec[n],</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                                                    digamma_vec[n]) / Pn;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      }</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
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+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
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+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;}</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_acbf0413c908e37c44c24ad81f99aa77f"><div class="ttname"><a href="namespacestan_1_1math.html#acbf0413c908e37c44c24ad81f99aa77f">stan::math::chi_square_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_dof &gt;::type chi_square_cdf_log(const T_y &amp;y, const T_dof &amp;nu)</div><div class="ttdef"><b>Definition:</b> <a href="chi__square__cdf__log_8hpp_source.html#l00030">chi_square_cdf_log.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2gamma__p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__p_8hpp.html">gamma_p.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">chi_square_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="chi__square__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a8a1c945dce01a8a4b4485b7c5bb258ba"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_dof &gt; </td></tr>
+<tr class="memitem:a8a1c945dce01a8a4b4485b7c5bb258ba"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8a1c945dce01a8a4b4485b7c5bb258ba">stan::math::chi_square_log</a> (const T_y &amp;y, const T_dof &amp;nu)</td></tr>
+<tr class="memdesc:a8a1c945dce01a8a4b4485b7c5bb258ba"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of a chi-squared density for y with the specified degrees of freedom parameter.  <a href="namespacestan_1_1math.html#a8a1c945dce01a8a4b4485b7c5bb258ba">More...</a><br /></td></tr>
+<tr class="separator:a8a1c945dce01a8a4b4485b7c5bb258ba"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a78965d5578823b4bae1dde58e42012c1"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof &gt; </td></tr>
+<tr class="memitem:a78965d5578823b4bae1dde58e42012c1"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a78965d5578823b4bae1dde58e42012c1">stan::math::chi_square_log</a> (const T_y &amp;y, const T_dof &amp;nu)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">chi_square_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="chi__square__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_CHI_SQUARE_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_CHI_SQUARE_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof&gt;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof&gt;::type</div>
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+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::chi_square_log&quot;</span>);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof&gt;::type</a></div>
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+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
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+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
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+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
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+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++)</div>
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+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
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+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
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+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">boost::math::lgamma</a>;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                    T_partials_return, T_y&gt; log_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); i++)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          log_y[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]));</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y&gt;::value</a>,</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;                    T_partials_return, T_y&gt; inv_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); i++)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          inv_y[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                    T_partials_return, T_dof&gt; lgamma_half_nu(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        digamma_half_nu_over_two(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu); i++) {</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        T_partials_return half_nu = 0.5 * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          lgamma_half_nu[i] = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(half_nu);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          digamma_half_nu_over_two[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(half_nu) * 0.5;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      }</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof&gt;</a> operands_and_partials(y, nu);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">const</span> T_partials_return half_y = 0.5 * y_dbl;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keyword">const</span> T_partials_return half_nu = 0.5 * nu_dbl;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
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+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof&gt;::value</a>)</div>
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+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
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+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;            - digamma_half_nu_over_two[n] + log_y[n]*0.5;</div>
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+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;      <span class="keywordflow">return</span> chi_square_log&lt;false&gt;(y, nu);</div>
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+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div>
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+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;}</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aead76f03bdbc60484ad760fc31bad40f"><div class="ttname"><a href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a></div><div class="ttdeci">fvar&lt; T &gt; lgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">lgamma.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_acd99e429af3a997976a017d6a580e3f9"><div class="ttname"><a href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">stan::math::LOG_ZERO</a></div><div class="ttdeci">const double LOG_ZERO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00175">constants.hpp:175</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+<tr class="memitem:ac1653e58694ea92bc1781e5d332c31e8"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:ac1653e58694ea92bc1781e5d332c31e8"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">stan::math::chi_square_rng</a> (const double nu, RNG &amp;rng)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+  <div class="headertitle">
+<div class="title">chi_square_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="chi__square__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_CHI_SQUARE_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_CHI_SQUARE_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">chi_square_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> nu,</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> boost::random::chi_squared_distribution;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::chi_square_rng&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      variate_generator&lt;RNG&amp;, chi_squared_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <a class="code" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">chi_square_rng</a>(rng, chi_squared_distribution&lt;&gt;(nu));</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">chi_square_rng</a>();</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;}</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac1653e58694ea92bc1781e5d332c31e8"><div class="ttname"><a href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">stan::math::chi_square_rng</a></div><div class="ttdeci">double chi_square_rng(const double nu, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="chi__square__rng_8hpp_source.html#l00024">chi_square_rng.hpp:24</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__p_8hpp.html">gamma_p.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
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+<p><a href="child__type_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1child__type.html">stan::math::child_type&lt; T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Primary template class for metaprogram to compute child type of T.  <a href="structstan_1_1math_1_1child__type.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Specialization for template classes / structs.  <a href="structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4.html#details">More...</a><br /></td></tr>
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diff --git a/doc/api/html/child__type_8hpp_source.html b/doc/api/html/child__type_8hpp_source.html
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__constrain_8hpp_source.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;iostream&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ab9d24004ec984f89b342414ff6312d0a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ab9d24004ec984f89b342414ff6312d0a"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab9d24004ec984f89b342414ff6312d0a">stan::math::cholesky_corr_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;y, int K)</td></tr>
+<tr class="separator:ab9d24004ec984f89b342414ff6312d0a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_5ad826fc69c5de8867ad775040807419.html">fun</a></li>  </ul>
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+<div class="title">cholesky_corr_constrain.hpp</div>  </div>
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+<a href="cholesky__corr__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CHOLESKY_CORR_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_CHOLESKY_CORR_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__constrain_8hpp.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;iostream&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="comment">// CHOLESKY CORRELATION MATRIX</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab9d24004ec984f89b342414ff6312d0a">   20</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab9d24004ec984f89b342414ff6312d0a">cholesky_corr_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; y,</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                            <span class="keywordtype">int</span> K) {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keywordtype">int</span> k_choose_2 = (K * (K - 1)) / 2;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keywordflow">if</span> (k_choose_2 != y.size()) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;y is not a valid unconstrained cholesky &quot;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                                <span class="stringliteral">&quot;correlation matrix.&quot;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                                <span class="stringliteral">&quot;Require (K choose 2) elements in y.&quot;</span>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; z(k_choose_2);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; k_choose_2; ++i)</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        z(i) = <a class="code" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">corr_constrain</a>(y(i));</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      Matrix&lt;T, Dynamic, Dynamic&gt; x(K, K);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">if</span> (K == 0) <span class="keywordflow">return</span> x;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      T zero(0);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 1; j &lt; K; ++j)</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; j; ++i)</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;          x(i, j) = zero;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      x(0, 0) = 1;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordtype">int</span> k = 0;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt; K; ++i) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        x(i, 0) = z(k++);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        T sum_sqs(<a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(x(i, 0)));</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 1; j &lt; i; ++j) {</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;          x(i, j) = z(k++) * <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(1.0 - sum_sqs);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;          sum_sqs += <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(x(i, j));</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        x(i, i) = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(1.0 - sum_sqs);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordflow">return</span> x;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    }</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <span class="comment">// FIXME to match above after debugged</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6649012a7c4d7108fb5dc5ebd6a13683">   58</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab9d24004ec984f89b342414ff6312d0a">cholesky_corr_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; y,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                            <span class="keywordtype">int</span> K,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                            T&amp; lp) {</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordtype">int</span> k_choose_2 = (K * (K - 1)) / 2;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">if</span> (k_choose_2 != y.size()) {</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;y is not a valid unconstrained cholesky &quot;</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                                <span class="stringliteral">&quot;correlation matrix.&quot;</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                                <span class="stringliteral">&quot; Require (K choose 2) elements in y.&quot;</span>);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; z(k_choose_2);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; k_choose_2; ++i)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        z(i) = <a class="code" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">corr_constrain</a>(y(i), lp);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      Matrix&lt;T, Dynamic, Dynamic&gt; x(K, K);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordflow">if</span> (K == 0) <span class="keywordflow">return</span> x;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      T zero(0);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 1; j &lt; K; ++j)</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; j; ++i)</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          x(i, j) = zero;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      x(0, 0) = 1;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordtype">int</span> k = 0;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt; K; ++i) {</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        x(i, 0) = z(k++);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        T sum_sqs = <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(x(i, 0));</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 1; j &lt; i; ++j) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          lp += 0.5 * <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(sum_sqs);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          x(i, j) = z(k++) * <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(1.0 - sum_sqs);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          sum_sqs += <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(x(i, j));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        x(i, i) = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(1.0 - sum_sqs);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">return</span> x;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;  }</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;}</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="corr__constrain_8hpp_html"><div class="ttname"><a href="corr__constrain_8hpp.html">corr_constrain.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab9d24004ec984f89b342414ff6312d0a"><div class="ttname"><a href="namespacestan_1_1math.html#ab9d24004ec984f89b342414ff6312d0a">stan::math::cholesky_corr_constrain</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; cholesky_corr_constrain(const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;y, int K)</div><div class="ttdef"><b>Definition:</b> <a href="cholesky__corr__constrain_8hpp_source.html#l00020">cholesky_corr_constrain.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6a3c8aa139b956593524b01f21c971a1"><div class="ttname"><a href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">stan::math::corr_constrain</a></div><div class="ttdeci">T corr_constrain(const T x)</div><div class="ttdoc">Return the result of transforming the specified scalar to have a valid correlation value between -1 a...</div><div class="ttdef"><b>Definition:</b> <a href="corr__constrain_8hpp_source.html#l00025">corr_constrain.hpp:25</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__constrain_8hpp_source.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__free_8hpp_source.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:aeed4fbb1adce01dfc445cae326e4c482"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aeed4fbb1adce01dfc445cae326e4c482"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aeed4fbb1adce01dfc445cae326e4c482">stan::math::cholesky_corr_free</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;x)</td></tr>
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+<div class="title">cholesky_corr_free.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="cholesky__corr__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CHOLESKY_CORR_FREE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_CHOLESKY_CORR_FREE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__constrain_8hpp.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__free_8hpp.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aeed4fbb1adce01dfc445cae326e4c482">   18</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aeed4fbb1adce01dfc445cae326e4c482">cholesky_corr_free</a>(<span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                       &lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; x) {</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="comment">// should validate lower-triangular, unit lengths</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keywordtype">int</span> K = (x.rows() * (x.rows() - 1)) / 2;</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt; x.rows(); ++i) {</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      }</div>
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+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;}</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="cholesky__factor__constrain_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ae2be4ed6bbf19487de29cfc85718ed3b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ae2be4ed6bbf19487de29cfc85718ed3b"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae2be4ed6bbf19487de29cfc85718ed3b">stan::math::cholesky_factor_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, int M, int N)</td></tr>
+<tr class="memdesc:ae2be4ed6bbf19487de29cfc85718ed3b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the Cholesky factor of the specified size read from the specified vector.  <a href="namespacestan_1_1math.html#ae2be4ed6bbf19487de29cfc85718ed3b">More...</a><br /></td></tr>
+<tr class="separator:ae2be4ed6bbf19487de29cfc85718ed3b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a8eb630493ae2edfb2dbc9caeda00dfff"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8eb630493ae2edfb2dbc9caeda00dfff">stan::math::cholesky_factor_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, int M, int N, T &amp;lp)</td></tr>
+<tr class="memdesc:a8eb630493ae2edfb2dbc9caeda00dfff"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the Cholesky factor of the specified size read from the specified vector and increment the specified log probability reference with the log Jacobian adjustment of the transform.  <a href="namespacestan_1_1math.html#a8eb630493ae2edfb2dbc9caeda00dfff">More...</a><br /></td></tr>
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+<a href="cholesky__factor__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CHOLESKY_FACTOR_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_CHOLESKY_FACTOR_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2sum_8hpp.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="comment">// CHOLESKY FACTOR</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae2be4ed6bbf19487de29cfc85718ed3b">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae2be4ed6bbf19487de29cfc85718ed3b">cholesky_factor_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x,</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                              <span class="keywordtype">int</span> N) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keywordflow">if</span> (M &lt; N)</div>
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+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                                <span class="stringliteral">&quot;num rows must be &gt;= num cols&quot;</span>);</div>
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+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;}</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae2be4ed6bbf19487de29cfc85718ed3b"><div class="ttname"><a href="namespacestan_1_1math.html#ae2be4ed6bbf19487de29cfc85718ed3b">stan::math::cholesky_factor_constrain</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; cholesky_factor_constrain(const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, int M, int N)</div><div class="ttdoc">Return the Cholesky factor of the specified size read from the specified vector. </div><div class="ttdef"><b>Definition:</b> <a href="cholesky__factor__constrain_8hpp_source.html#l00029">cholesky_factor_constrain.hpp:29</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2sum_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2sum_8hpp.html">sum.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="title">cholesky_factor_free.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__cholesky__factor_8hpp_source.html">stan/math/prim/mat/err/check_cholesky_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="cholesky__factor__free_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad9d45c92d30d1120cfa4b71a766e1712"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad9d45c92d30d1120cfa4b71a766e1712"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad9d45c92d30d1120cfa4b71a766e1712">stan::math::cholesky_factor_free</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:ad9d45c92d30d1120cfa4b71a766e1712"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unconstrained vector of parameters correspdonding to the specified Cholesky factor.  <a href="namespacestan_1_1math.html#ad9d45c92d30d1120cfa4b71a766e1712">More...</a><br /></td></tr>
+<tr class="separator:ad9d45c92d30d1120cfa4b71a766e1712"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
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+  Stan Development Team.
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+</div>
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+<div class="title">cholesky_factor_free.hpp</div>  </div>
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+<a href="cholesky__factor__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CHOLESKY_FACTOR_FREE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_CHOLESKY_FACTOR_FREE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__cholesky__factor_8hpp.html">stan/math/prim/mat/err/check_cholesky_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad9d45c92d30d1120cfa4b71a766e1712">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad9d45c92d30d1120cfa4b71a766e1712">cholesky_factor_free</a>(<span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                         &lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="namespacestan_1_1math.html#a6a07026df8b25226da59ac45f8e679c9">stan::math::check_cholesky_factor</a>(<span class="stringliteral">&quot;cholesky_factor_free&quot;</span>, <span class="stringliteral">&quot;y&quot;</span>, y))</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;cholesky_factor_free: &quot;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                                <span class="stringliteral">&quot;y is not a Cholesky factor&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keywordtype">int</span> M = y.rows();</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keywordtype">int</span> N = y.cols();</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; x((N * (N + 1)) / 2 + (M - N) * N);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keywordtype">int</span> pos = 0;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="comment">// lower triangle of upper square</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> m = 0; m &lt; N; ++m) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> n = 0; n &lt; m; ++n)</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;          x(pos++) = y(m, n);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="comment">// diagonal of upper square</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        x(pos++) = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y(m, m));</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="comment">// lower rectangle</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> m = N; m &lt; M; ++m)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> n = 0; n &lt; N; ++n)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;          x(pos++) = y(m, n);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordflow">return</span> x;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    }</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;}</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6a07026df8b25226da59ac45f8e679c9"><div class="ttname"><a href="namespacestan_1_1math.html#a6a07026df8b25226da59ac45f8e679c9">stan::math::check_cholesky_factor</a></div><div class="ttdeci">bool check_cholesky_factor(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is a valid Cholesky factor. </div><div class="ttdef"><b>Definition:</b> <a href="check__cholesky__factor_8hpp_source.html#l00035">check_cholesky_factor.hpp:35</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="check__cholesky__factor_8hpp_html"><div class="ttname"><a href="check__cholesky__factor_8hpp.html">check_cholesky_factor.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad9d45c92d30d1120cfa4b71a766e1712"><div class="ttname"><a href="namespacestan_1_1math.html#ad9d45c92d30d1120cfa4b71a766e1712">stan::math::cholesky_factor_free</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; cholesky_factor_free(const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return the unconstrained vector of parameters correspdonding to the specified Cholesky factor...</div><div class="ttdef"><b>Definition:</b> <a href="cholesky__factor__free_8hpp_source.html#l00024">cholesky_factor_free.hpp:24</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:a6bbefa466748a220076744c697f393b6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1_vector_builder_helper.html">VectorBuilderHelper</a>&lt; T1, used, <a class="el" href="structstan_1_1contains__vector.html">contains_vector</a>&lt; T2, T3, T4, T5, T6, T7 &gt;::value &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_builder.html#a6bbefa466748a220076744c697f393b6">a</a></td></tr>
+<tr class="separator:a6bbefa466748a220076744c697f393b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;bool used, typename T1, typename T2, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T7 = double&gt;<br />
+class stan::VectorBuilder&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;</h3>
+
+<p><a class="el" href="classstan_1_1_vector_builder.html" title="VectorBuilder allocates type T1 values to be used as intermediate values. ">VectorBuilder</a> allocates type T1 values to be used as intermediate values. </p>
+<p>There are 2 template parameters:</p><ul>
+<li>used: boolean variable indicating whether this instance is used. If this is false, there is no storage allocated and operator[] throws.</li>
+<li>is_vec: boolean variable indicating whether this instance should allocate a vector, if it is used. If this is false, the instance will only allocate a single double value. If this is true, it will allocate the number requested. Note that this is calculated based on template parameters T2 through T7.</li>
+</ul>
+<p>These values are mutable. </p>
+
+<p>Definition at line <a class="el" href="_vector_builder_8hpp_source.html#l00028">28</a> of file <a class="el" href="_vector_builder_8hpp_source.html">VectorBuilder.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a259630f1a916b23c98b664e173892e79"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool used, typename T1, typename T2, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T7 = double&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a>&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;::<a class="el" href="classstan_1_1_vector_builder.html">VectorBuilder</a> </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_vector_builder_8hpp_source.html#l00033">33</a> of file <a class="el" href="_vector_builder_8hpp_source.html">VectorBuilder.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a237d449ccafb108de8d416001b6e32e4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool used, typename T1, typename T2, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T7 = double&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
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+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_vector_builder_8hpp_source.html#l00042">42</a> of file <a class="el" href="_vector_builder_8hpp_source.html">VectorBuilder.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adf708a313726a2ae1ba979269ccee104"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool used, typename T1, typename T2, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T7 = double&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T1&amp; <a class="el" href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a>&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_vector_builder_8hpp_source.html#l00035">35</a> of file <a class="el" href="_vector_builder_8hpp_source.html">VectorBuilder.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a6bbefa466748a220076744c697f393b6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool used, typename T1, typename T2, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T7 = double&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_builder_helper.html">VectorBuilderHelper</a>&lt;T1, used, <a class="el" href="structstan_1_1contains__vector.html">contains_vector</a>&lt;T2, T3, T4, T5, T6, T7&gt;::value&gt; <a class="el" href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a>&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;::a</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_vector_builder_8hpp_source.html#l00031">31</a> of file <a class="el" href="_vector_builder_8hpp_source.html">VectorBuilder.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="_vector_builder_8hpp_source.html">VectorBuilder.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper.html#aff55c0d36f30b1ef0751fa567083f15c">data</a>()</td><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper.html#a623364e0ee8645a55bb93d3b067bd306">operator[]</a>(size_t)</td><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper.html#abf2194ad2beb0ec7851ad06e7785cded">VectorBuilderHelper</a>(size_t)</td><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_builder_helper.html">VectorBuilderHelper</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_builder_helper-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><a class="el" href="classstan_1_1_vector_builder.html" title="VectorBuilder allocates type T1 values to be used as intermediate values. ">VectorBuilder</a> allocates type T1 values to be used as intermediate values.  
+ <a href="classstan_1_1_vector_builder_helper.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>&gt;</code></p>
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+<tr class="separator:a623364e0ee8645a55bb93d3b067bd306"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aff55c0d36f30b1ef0751fa567083f15c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1_vector_builder_helper.html#a3eb1071a059568704d78f49a9afc9aad">type</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_builder_helper.html#aff55c0d36f30b1ef0751fa567083f15c">data</a> ()</td></tr>
+<tr class="separator:aff55c0d36f30b1ef0751fa567083f15c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, bool used, bool is_vec&gt;<br />
+class stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</h3>
+
+<p><a class="el" href="classstan_1_1_vector_builder.html" title="VectorBuilder allocates type T1 values to be used as intermediate values. ">VectorBuilder</a> allocates type T1 values to be used as intermediate values. </p>
+<p>There are 2 template parameters:</p><ul>
+<li>used: boolean variable indicating whether this instance is used. If this is false, there is no storage allocated and operator[] throws.</li>
+<li>is_vec: boolean variable indicating whether this instance should allocate a vector, if it is used. If this is false, the instance will only allocate a single double value. If this is true, it will allocate the number requested. Note that this is calculated based on template parameters T2 through T7.</li>
+</ul>
+<p>These values are mutable. </p>
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html#l00025">25</a> of file <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a3eb1071a059568704d78f49a9afc9aad"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1, bool used, bool is_vec&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef T1 <a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, used, is_vec &gt;::<a class="el" href="classstan_1_1_vector_builder_helper.html#a3eb1071a059568704d78f49a9afc9aad">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html#l00033">33</a> of file <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="abf2194ad2beb0ec7851ad06e7785cded"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1, bool used, bool is_vec&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, used, is_vec &gt;::<a class="el" href="classstan_1_1_vector_builder_helper.html">VectorBuilderHelper</a> </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html#l00027">27</a> of file <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="aff55c0d36f30b1ef0751fa567083f15c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1, bool used, bool is_vec&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_builder_helper.html#a3eb1071a059568704d78f49a9afc9aad">type</a>&amp; <a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, used, is_vec &gt;::data </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html#l00035">35</a> of file <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a623364e0ee8645a55bb93d3b067bd306"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1, bool used, bool is_vec&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T1&amp; <a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, used, is_vec &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html#l00029">29</a> of file <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<script type="text/javascript" src="dynsections.js"></script>
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+  $(document).ready(function() { init_search(); });
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html">VectorBuilderHelper&lt; T1, true, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::VectorBuilderHelper&lt; T1, true, false &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a73852f108cd5c72af0cf788add639628">data</a>()</td><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a195496da4a18cc0cb2d3dc098af401a6">operator[]</a>(size_t)</td><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a3bd67fa1f3f3698141f63e73541bcc12">type</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a6dc945ef3e7661667f69bb82fc9df177">VectorBuilderHelper</a>(size_t)</td><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html b/doc/api/html/classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html
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+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html">VectorBuilderHelper&lt; T1, true, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::VectorBuilderHelper&lt; T1, true, false &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>&gt;</code></p>
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+<tr class="memitem:a6dc945ef3e7661667f69bb82fc9df177"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a6dc945ef3e7661667f69bb82fc9df177">VectorBuilderHelper</a> (size_t)</td></tr>
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+<tr class="memitem:a195496da4a18cc0cb2d3dc098af401a6"><td class="memItemLeft" align="right" valign="top">T1 &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a195496da4a18cc0cb2d3dc098af401a6">operator[]</a> (size_t)</td></tr>
+<tr class="separator:a195496da4a18cc0cb2d3dc098af401a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a73852f108cd5c72af0cf788add639628"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a3bd67fa1f3f3698141f63e73541bcc12">type</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a73852f108cd5c72af0cf788add639628">data</a> ()</td></tr>
+<tr class="separator:a73852f108cd5c72af0cf788add639628"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1&gt;<br />
+class stan::VectorBuilderHelper&lt; T1, true, false &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html#l00041">41</a> of file <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a3bd67fa1f3f3698141f63e73541bcc12"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef T1 <a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, true, false &gt;::<a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a3bd67fa1f3f3698141f63e73541bcc12">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html#l00050">50</a> of file <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a6dc945ef3e7661667f69bb82fc9df177"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, true, false &gt;::<a class="el" href="classstan_1_1_vector_builder_helper.html">VectorBuilderHelper</a> </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html#l00045">45</a> of file <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a73852f108cd5c72af0cf788add639628"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a3bd67fa1f3f3698141f63e73541bcc12">type</a>&amp; <a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, true, false &gt;::data </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html#l00052">52</a> of file <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a195496da4a18cc0cb2d3dc098af401a6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T1&amp; <a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, true, false &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html#l00046">46</a> of file <a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<title>Stan Math Library: Member List</title>
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+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html">VectorBuilderHelper&lt; T1, true, true &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::VectorBuilderHelper&lt; T1, true, true &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#aa4b5a3d0c5909b57772914bbdeac3143">data</a>()</td><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#af2507b7e73412f828261a9b4e2c28c18">operator[]</a>(size_t i)</td><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#aea989a6bfba0d983ae6839696c82a660">type</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#a41c70cddac8238f49b6afde03fe22102">VectorBuilderHelper</a>(size_t n)</td><td class="entry"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html b/doc/api/html/classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html">VectorBuilderHelper&lt; T1, true, true &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::VectorBuilderHelper&lt; T1, true, true &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template specialization for using a vector.  
+ <a href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>&gt;</code></p>
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+<tr class="memitem:af2507b7e73412f828261a9b4e2c28c18"><td class="memItemLeft" align="right" valign="top">T1 &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#af2507b7e73412f828261a9b4e2c28c18">operator[]</a> (size_t i)</td></tr>
+<tr class="separator:af2507b7e73412f828261a9b4e2c28c18"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa4b5a3d0c5909b57772914bbdeac3143"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#aea989a6bfba0d983ae6839696c82a660">type</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#aa4b5a3d0c5909b57772914bbdeac3143">data</a> ()</td></tr>
+<tr class="separator:aa4b5a3d0c5909b57772914bbdeac3143"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1&gt;<br />
+class stan::VectorBuilderHelper&lt; T1, true, true &gt;</h3>
+
+<p>Template specialization for using a vector. </p>
+
+<p>Definition at line <a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html#l00014">14</a> of file <a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="aea989a6bfba0d983ae6839696c82a660"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef std::vector&lt;T1&gt; <a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, true, true &gt;::<a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#aea989a6bfba0d983ae6839696c82a660">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html#l00020">20</a> of file <a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a41c70cddac8238f49b6afde03fe22102"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, true, true &gt;::<a class="el" href="classstan_1_1_vector_builder_helper.html">VectorBuilderHelper</a> </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html#l00018">18</a> of file <a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="aa4b5a3d0c5909b57772914bbdeac3143"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#aea989a6bfba0d983ae6839696c82a660">type</a>&amp; <a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, true, true &gt;::data </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html#l00026">26</a> of file <a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af2507b7e73412f828261a9b4e2c28c18"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T1&amp; <a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper</a>&lt; T1, true, true &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html#l00022">22</a> of file <a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/arr/meta/<a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html">VectorBuilderHelper.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">stan::VectorView&lt; T, is_array, throw_if_accessed &gt; Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_view.html">stan::VectorView&lt; T, is_array, throw_if_accessed &gt;</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_view.html#a0b73aaeaa00a8c852f9bbad30eaaa78a">VectorView</a>(X x)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view.html">stan::VectorView&lt; T, is_array, throw_if_accessed &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_view-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::VectorView&lt; T, is_array, throw_if_accessed &gt; Class Template Reference</div>  </div>
+</div><!--header-->
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+<p><a class="el" href="classstan_1_1_vector_view.html" title="VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. ">VectorView</a> is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using <code>operator[]</code>.  
+ <a href="classstan_1_1_vector_view.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>&gt;</code></p>
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+<tr class="separator:afa380e5d11746837925198eeb8669299"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aaf0738646ebf8cb80bfd8e74d87670b3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1_vector_view.html#a06b2274769a1633467873f763d6d37b6">scalar_t</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view.html#aaf0738646ebf8cb80bfd8e74d87670b3">operator[]</a> (int i) const </td></tr>
+<tr class="separator:aaf0738646ebf8cb80bfd8e74d87670b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, bool is_array = stan::is_vector_like&lt;T&gt;::value, bool throw_if_accessed = false&gt;<br />
+class stan::VectorView&lt; T, is_array, throw_if_accessed &gt;</h3>
+
+<p><a class="el" href="classstan_1_1_vector_view.html" title="VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. ">VectorView</a> is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using <code>operator[]</code>. </p>
+<p>For a scalar value, any index returns the reference or pointer used to construct the view.</p>
+<p>For a container, the index returns a reference to the position in the underlying container used to construct the view. WARNING: There is no bounds checking for container indices and they will segfault if accessed beyond their boundaries.</p>
+<p>The first use is to read arguments to prob functions as vectors, even if scalars, so they can be read by common code (and scalars automatically broadcast up to behave like vectors) : <a class="el" href="classstan_1_1_vector_view.html" title="VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. ">VectorView</a> of immutable const array of double* (no allocation).</p>
+<p>The second use is to build up derivatives into common storage : <a class="el" href="classstan_1_1_vector_view.html" title="VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. ">VectorView</a> of mutable shared array (no allocation because allocated on auto-diff arena memory).</p>
+<p>Because it deals with references to its inputs, it is up to the client of <a class="el" href="classstan_1_1_vector_view.html" title="VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. ">VectorView</a> to ensure that the container being wrapped is not modified while the <a class="el" href="classstan_1_1_vector_view.html" title="VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. ">VectorView</a> is in use in such a way as to disrupt the indexing. Similarly, because it deals with references, it cannot be constructed with a literal or expression.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar or container being wrapped. </td></tr>
+    <tr><td class="paramname">is_array</td><td>True if underlying type T can be indexed with operator[]. </td></tr>
+    <tr><td class="paramname">throw_if_accessed</td><td>True if the behaviro is to throw an exception whenever <code>operator[]</code> is called. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00048">48</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a06b2274769a1633467873f763d6d37b6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T, bool is_array = stan::is_vector_like&lt;T&gt;::value, bool throw_if_accessed = false&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef boost::conditional&lt;boost::is_const&lt;T&gt;::value, typename boost::add_const&lt; typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt;T&gt;::type&gt;::type, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt;T&gt;::type&gt;::type <a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; T, is_array, throw_if_accessed &gt;::<a class="el" href="classstan_1_1_vector_view.html#a06b2274769a1633467873f763d6d37b6">scalar_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00054">54</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a0b73aaeaa00a8c852f9bbad30eaaa78a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T, bool is_array = stan::is_vector_like&lt;T&gt;::value, bool throw_if_accessed = false&gt; </div>
+<div class="memtemplate">
+template&lt;typename X &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; T, is_array, throw_if_accessed &gt;::<a class="el" href="classstan_1_1_vector_view.html">VectorView</a> </td>
+          <td>(</td>
+          <td class="paramtype">X&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00057">57</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="afa380e5d11746837925198eeb8669299"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T, bool is_array = stan::is_vector_like&lt;T&gt;::value, bool throw_if_accessed = false&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html#a06b2274769a1633467873f763d6d37b6">scalar_t</a>&amp; <a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; T, is_array, throw_if_accessed &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00062">62</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aaf0738646ebf8cb80bfd8e74d87670b3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T, bool is_array = stan::is_vector_like&lt;T&gt;::value, bool throw_if_accessed = false&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html#a06b2274769a1633467873f763d6d37b6">scalar_t</a>&amp; <a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; T, is_array, throw_if_accessed &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00067">67</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a3c3691cba50d962132fc75a2b8827ec6">operator[]</a>(int i)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a56d57628070d7159afd6f966ed49ebab">scalar_t</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a0e24242d02f220710376c929012daf81">VectorView</a>(X &amp;x)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+   &#160;<span id="projectnumber">2.10.0</span>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a56d57628070d7159afd6f966ed49ebab"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a56d57628070d7159afd6f966ed49ebab">scalar_t</a></td></tr>
+<tr class="separator:a56d57628070d7159afd6f966ed49ebab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a0e24242d02f220710376c929012daf81"><td class="memTemplParams" colspan="2">template&lt;typename X &gt; </td></tr>
+<tr class="memitem:a0e24242d02f220710376c929012daf81"><td class="memTemplItemLeft" align="right" valign="top">&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a0e24242d02f220710376c929012daf81">VectorView</a> (X &amp;x)</td></tr>
+<tr class="separator:a0e24242d02f220710376c929012daf81"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3c3691cba50d962132fc75a2b8827ec6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a56d57628070d7159afd6f966ed49ebab">scalar_t</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a3c3691cba50d962132fc75a2b8827ec6">operator[]</a> (int i)</td></tr>
+<tr class="separator:a3c3691cba50d962132fc75a2b8827ec6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, int R, int C&gt;<br />
+class stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html#l00012">12</a> of file <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a56d57628070d7159afd6f966ed49ebab"></a>
+<div class="memitem">
+<div class="memproto">
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+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
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+        </tr>
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+<p>Definition at line <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html#l00014">14</a> of file <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a0e24242d02f220710376c929012daf81"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<div class="memtemplate">
+template&lt;typename X &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;::<a class="el" href="classstan_1_1_vector_view.html">VectorView</a> </td>
+          <td>(</td>
+          <td class="paramtype">X &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html#l00017">17</a> of file <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a3c3691cba50d962132fc75a2b8827ec6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
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+      <table class="memname">
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+          <td class="memname"><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a56d57628070d7159afd6f966ed49ebab">scalar_t</a>&amp; <a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
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+  </td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html#l00019">19</a> of file <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4-members.html b/doc/api/html/classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4-members.html
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">stan::VectorView&lt; T, false, false &gt; Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html">stan::VectorView&lt; T, false, false &gt;</a>, including all inherited members.</p>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html b/doc/api/html/classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html
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+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html">VectorView&lt; T, false, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::VectorView&lt; T, false, false &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>&gt;</code></p>
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+<tr class="memitem:a9595f94fa5669362402a6512b101c4f7"><td class="memItemLeft" align="right" valign="top">typedef boost::conditional&lt; boost::is_const&lt; T &gt;::value, typename boost::add_const&lt; typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T &gt;::type &gt;::type, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T &gt;::type &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html#a9595f94fa5669362402a6512b101c4f7">scalar_t</a></td></tr>
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+<tr class="memitem:ae4acb8c469ddcba4f09118b5e6d99551"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html#ae4acb8c469ddcba4f09118b5e6d99551">VectorView</a> (<a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html#a9595f94fa5669362402a6512b101c4f7">scalar_t</a> &amp;x)</td></tr>
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+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+class stan::VectorView&lt; T, false, false &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00098">98</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
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+<div class="memitem">
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+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
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+  <td class="mlabels-left">
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+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; T, false, false &gt;::<a class="el" href="classstan_1_1_vector_view.html">VectorView</a> </td>
+          <td>(</td>
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+          <td class="paramname"><em>x</em></td><td>)</td>
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+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00106">106</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
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+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html#a9595f94fa5669362402a6512b101c4f7">scalar_t</a> *&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
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+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00108">108</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
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+<div class="memitem">
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+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00110">110</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
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+          <td>(</td>
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+          <td> const</td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00114">114</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<div class="title">stan::VectorView&lt; T, is_array, true &gt; Member List</div>  </div>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html">VectorView&lt; T, is_array, true &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::VectorView&lt; T, is_array, true &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a297c41bca6732127a96566f9508186a1"><td class="memItemLeft" align="right" valign="top">typedef boost::conditional&lt; boost::is_const&lt; T &gt;::value, typename boost::add_const&lt; typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T &gt;::type &gt;::type, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T &gt;::type &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#a297c41bca6732127a96566f9508186a1">scalar_t</a></td></tr>
+<tr class="separator:a297c41bca6732127a96566f9508186a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:af468e7f38464787995f35acd722d8851"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#af468e7f38464787995f35acd722d8851">VectorView</a> ()</td></tr>
+<tr class="separator:af468e7f38464787995f35acd722d8851"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2050a50d04b8dcab84217156d8154686"><td class="memTemplParams" colspan="2">template&lt;typename X &gt; </td></tr>
+<tr class="memitem:a2050a50d04b8dcab84217156d8154686"><td class="memTemplItemLeft" align="right" valign="top">&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#a2050a50d04b8dcab84217156d8154686">VectorView</a> (X x)</td></tr>
+<tr class="separator:a2050a50d04b8dcab84217156d8154686"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a07dca6c4fe1cf61478d866e8655ec929"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#a297c41bca6732127a96566f9508186a1">scalar_t</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#a07dca6c4fe1cf61478d866e8655ec929">operator[]</a> (int i)</td></tr>
+<tr class="separator:a07dca6c4fe1cf61478d866e8655ec929"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab52bd4c68618edf57346d39cd3f04642"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, bool is_array&gt;<br />
+class stan::VectorView&lt; T, is_array, true &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00075">75</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a297c41bca6732127a96566f9508186a1"></a>
+<div class="memitem">
+<div class="memproto">
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+template&lt;typename T , bool is_array&gt; </div>
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+        </tr>
+      </table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00081">81</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="af468e7f38464787995f35acd722d8851"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , bool is_array&gt; </div>
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; T, is_array, true &gt;::<a class="el" href="classstan_1_1_vector_view.html">VectorView</a> </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
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+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00082">82</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
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+template&lt;typename T , bool is_array&gt; </div>
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+          <td>(</td>
+          <td class="paramtype">X&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
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+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
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+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00085">85</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a07dca6c4fe1cf61478d866e8655ec929"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , bool is_array&gt; </div>
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+      <table class="memname">
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+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
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+      </table>
+  </td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00087">87</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
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+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T , bool is_array&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#a297c41bca6732127a96566f9508186a1">scalar_t</a>&amp; <a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; T, is_array, true &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00091">91</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4-members.html b/doc/api/html/classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4-members.html
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Member List</title>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
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+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html">VectorView&lt; T, true, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::VectorView&lt; T, true, false &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html">stan::VectorView&lt; T, true, false &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html#a1571c35dd66bce4419afbe4aef871305">operator[]</a>(int i)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html">stan::VectorView&lt; T, true, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html#ac38c0683161304f15809ee875a81a093">operator[]</a>(int i) const </td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html">stan::VectorView&lt; T, true, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html#a93b75ae55bc7dc1ff7e7b59a36098f34">scalar_t</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html">stan::VectorView&lt; T, true, false &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html#a585c55843efa35443ec73138368d88d9">VectorView</a>(scalar_t *x)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html">stan::VectorView&lt; T, true, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4-members.html">List of all members</a>  </div>
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+<div class="title">stan::VectorView&lt; T, true, false &gt; Class Template Reference</div>  </div>
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+<p><code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>&gt;</code></p>
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+<tr class="memitem:a93b75ae55bc7dc1ff7e7b59a36098f34"><td class="memItemLeft" align="right" valign="top">typedef boost::conditional&lt; boost::is_const&lt; T &gt;::value, typename boost::add_const&lt; typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T &gt;::type &gt;::type, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T &gt;::type &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html#a93b75ae55bc7dc1ff7e7b59a36098f34">scalar_t</a></td></tr>
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+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+class stan::VectorView&lt; T, true, false &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00124">124</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
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+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00130">130</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a585c55843efa35443ec73138368d88d9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
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+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; T, true, false &gt;::<a class="el" href="classstan_1_1_vector_view.html">VectorView</a> </td>
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+          <td class="paramname"><em>x</em></td><td>)</td>
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+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00132">132</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
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+<div class="memitem">
+<div class="memproto">
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+template&lt;typename T &gt; </div>
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+          <td>(</td>
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+          <td class="paramname"><em>i</em></td><td>)</td>
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+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00134">134</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
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+          <td>(</td>
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+        </tr>
+      </table>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html#l00138">138</a> of file <a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#adfca28e50072e07d54266232fca1271a">operator[]</a>(int i) const </td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a909a17d555fcd8422a05fba133e0769d">scalar_t</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a76f40d98ab7b00cc4cc6c7bd4a538820">VectorView</a>(X &amp;x)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html">VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt; Class Template Reference</div>  </div>
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+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>&gt;</code></p>
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+<tr class="separator:a76f40d98ab7b00cc4cc6c7bd4a538820"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, int R, int C&gt;<br />
+class stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html#l00027">27</a> of file <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html#l00030">30</a> of file <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a76f40d98ab7b00cc4cc6c7bd4a538820"></a>
+<div class="memitem">
+<div class="memproto">
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+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;::<a class="el" href="classstan_1_1_vector_view.html">VectorView</a> </td>
+          <td>(</td>
+          <td class="paramtype">X &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
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+<p>Definition at line <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html#l00033">33</a> of file <a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
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+          <td>(</td>
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+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a></li>
+</ul>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html">VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;</a></li>  </ul>
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+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afa365ca621bbf40cffac55954615d253">scalar_t</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;</a></td><td class="entry"></td></tr>
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+</table></div><!-- contents -->
+<hr/>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </i>
+  </span>
+</div>
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+   <div id="projectname">Stan Math Library
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4-members.html">List of all members</a>  </div>
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+<div class="title">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt; Class Template Reference</div>  </div>
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+
+<p><code>#include &lt;<a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>&gt;</code></p>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+class stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html#l00026">26</a> of file <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html#l00029">29</a> of file <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
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+<div class="memitem">
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+          <td>(</td>
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+          <td class="paramname"><em>x</em></td><td>)</td>
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+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
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+<p>Definition at line <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html#l00032">32</a> of file <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/arr/meta/<a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
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+<div class="header">
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a675c42a2e8eb2944f62c0fe92eb4e661">VectorView</a>(X &amp;x)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html">VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>&gt;</code></p>
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+Public Types</h2></td></tr>
+<tr class="memitem:a32896ea25017adc3fbe970f572192427"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a32896ea25017adc3fbe970f572192427">scalar_t</a></td></tr>
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+<tr class="memitem:a675c42a2e8eb2944f62c0fe92eb4e661"><td class="memTemplParams" colspan="2">template&lt;typename X &gt; </td></tr>
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+<tr class="separator:a675c42a2e8eb2944f62c0fe92eb4e661"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afbe613678e5454e51431068c7a7511d5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a32896ea25017adc3fbe970f572192427">scalar_t</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afbe613678e5454e51431068c7a7511d5">operator[]</a> (int i)</td></tr>
+<tr class="separator:afbe613678e5454e51431068c7a7511d5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+class stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html#l00010">10</a> of file <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
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+<div class="memitem">
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+<p>Definition at line <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html#l00012">12</a> of file <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
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+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
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+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; std::vector&lt; T &gt;, true, false &gt;::<a class="el" href="classstan_1_1_vector_view.html">VectorView</a> </td>
+          <td>(</td>
+          <td class="paramtype">X &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html#l00015">15</a> of file <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
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+  <td class="mlabels-left">
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+          <td class="memname"><a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a32896ea25017adc3fbe970f572192427">scalar_t</a>&amp; <a class="el" href="classstan_1_1_vector_view.html">stan::VectorView</a>&lt; std::vector&lt; T &gt;, true, false &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
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+      </table>
+  </td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html#l00017">17</a> of file <a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/arr/meta/<a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">VectorView.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt.html#a279439cc5038dfd0ea4da7fe58c1f6d0">operator[]</a>(int i)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt.html#a63f250342668fab3df0e18e467a2ae15">VectorViewMvt</a>(matrix_t &amp;m)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt.html#a7e8d6dd9b7067dbf02b7b973806335c0">VectorViewMvt</a>(std::vector&lt; matrix_t &gt; &amp;vm)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_view_mvt-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>&gt;</code></p>
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+<tr class="memitem:a2c3d0382bf37405f20e83adec38db42e"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1scalar__type__pre.html">scalar_type_pre</a>&lt; T &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_mvt.html#a2c3d0382bf37405f20e83adec38db42e">matrix_t</a></td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, bool is_array = stan::is_vector_like &lt;typename stan::math::value_type&lt;T&gt;::type&gt;::value, bool throw_if_accessed = false&gt;<br />
+class stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="_vector_view_mvt_8hpp_source.html#l00016">16</a> of file <a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>.</p>
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+      <table class="memname">
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+<p>Definition at line <a class="el" href="_vector_view_mvt_8hpp_source.html#l00018">18</a> of file <a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>.</p>
+
+</div>
+</div>
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+template&lt;typename T, bool is_array = stan::is_vector_like &lt;typename stan::math::value_type&lt;T&gt;::type&gt;::value, bool throw_if_accessed = false&gt; </div>
+<table class="mlabels">
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+          <td class="memname"><a class="el" href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt</a>&lt; T, is_array, throw_if_accessed &gt;::<a class="el" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt</a> </td>
+          <td>(</td>
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+      </table>
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+<p>Definition at line <a class="el" href="_vector_view_mvt_8hpp_source.html#l00020">20</a> of file <a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>.</p>
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+template&lt;typename T, bool is_array = stan::is_vector_like &lt;typename stan::math::value_type&lt;T&gt;::type&gt;::value, bool throw_if_accessed = false&gt; </div>
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+          <td class="memname"><a class="el" href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt</a>&lt; T, is_array, throw_if_accessed &gt;::<a class="el" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt</a> </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; <a class="el" href="classstan_1_1_vector_view_mvt.html#a2c3d0382bf37405f20e83adec38db42e">matrix_t</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>vm</em></td><td>)</td>
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+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_vector_view_mvt_8hpp_source.html#l00022">22</a> of file <a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a279439cc5038dfd0ea4da7fe58c1f6d0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T, bool is_array = stan::is_vector_like &lt;typename stan::math::value_type&lt;T&gt;::type&gt;::value, bool throw_if_accessed = false&gt; </div>
+<table class="mlabels">
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+          <td class="memname"><a class="el" href="classstan_1_1_vector_view_mvt.html#a2c3d0382bf37405f20e83adec38db42e">matrix_t</a>&amp; <a class="el" href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt</a>&lt; T, is_array, throw_if_accessed &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_vector_view_mvt_8hpp_source.html#l00024">24</a> of file <a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt; Member List</div>  </div>
+</div><!--header-->
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+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">matrix_t</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af1df7ae176f5dc3acafcb45663ea82a3">operator[]</a>(int i) const </td><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#a5faf023847a5654c294db465351b13d8">VectorViewMvt</a>(const matrix_t &amp;m)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#abf41d99f5c66c8675c68ad2b61ebcc6c">VectorViewMvt</a>(const std::vector&lt; matrix_t &gt; &amp;vm)</td><td class="entry"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
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diff --git a/doc/api/html/classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html b/doc/api/html/classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html
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+<title>Stan Math Library: stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt; Class Template Reference</title>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html">VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><a class="el" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt</a> that has const correctness.  
+ <a href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:af2e32ce2c7cafcf155a77b88eae07d65"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1scalar__type__pre.html">scalar_type_pre</a>&lt; T &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">matrix_t</a></td></tr>
+<tr class="separator:af2e32ce2c7cafcf155a77b88eae07d65"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a5faf023847a5654c294db465351b13d8"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#a5faf023847a5654c294db465351b13d8">VectorViewMvt</a> (const <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">matrix_t</a> &amp;m)</td></tr>
+<tr class="separator:a5faf023847a5654c294db465351b13d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abf41d99f5c66c8675c68ad2b61ebcc6c"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#abf41d99f5c66c8675c68ad2b61ebcc6c">VectorViewMvt</a> (const std::vector&lt; <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">matrix_t</a> &gt; &amp;vm)</td></tr>
+<tr class="separator:abf41d99f5c66c8675c68ad2b61ebcc6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af1df7ae176f5dc3acafcb45663ea82a3"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">matrix_t</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af1df7ae176f5dc3acafcb45663ea82a3">operator[]</a> (int i) const </td></tr>
+<tr class="separator:af1df7ae176f5dc3acafcb45663ea82a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, bool is_array, bool throw_if_accessed&gt;<br />
+class stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</h3>
+
+<p><a class="el" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt</a> that has const correctness. </p>
+
+<p>Definition at line <a class="el" href="_vector_view_mvt_8hpp_source.html#l00041">41</a> of file <a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="af2e32ce2c7cafcf155a77b88eae07d65"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , bool is_array, bool throw_if_accessed&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="structstan_1_1scalar__type__pre.html">scalar_type_pre</a>&lt;T&gt;::type <a class="el" href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt</a>&lt; const T, is_array, throw_if_accessed &gt;::<a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">matrix_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_vector_view_mvt_8hpp_source.html#l00043">43</a> of file <a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a5faf023847a5654c294db465351b13d8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , bool is_array, bool throw_if_accessed&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt</a>&lt; const T, is_array, throw_if_accessed &gt;::<a class="el" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt</a> </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">matrix_t</a> &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_vector_view_mvt_8hpp_source.html#l00045">45</a> of file <a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abf41d99f5c66c8675c68ad2b61ebcc6c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , bool is_array, bool throw_if_accessed&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt</a>&lt; const T, is_array, throw_if_accessed &gt;::<a class="el" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt</a> </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">matrix_t</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>vm</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_vector_view_mvt_8hpp_source.html#l00047">47</a> of file <a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="af1df7ae176f5dc3acafcb45663ea82a3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , bool is_array, bool throw_if_accessed&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">matrix_t</a>&amp; <a class="el" href="classstan_1_1_vector_view_mvt.html">stan::VectorViewMvt</a>&lt; const T, is_array, throw_if_accessed &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_vector_view_mvt_8hpp_source.html#l00049">49</a> of file <a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="_vector_view_mvt_8hpp_source.html">VectorViewMvt.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1_l_d_l_t__alloc-members.html b/doc/api/html/classstan_1_1math_1_1_l_d_l_t__alloc-members.html
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+<div class="title">stan::math::LDLT_alloc&lt; R, C &gt; Member List</div>  </div>
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+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a31f5c61c30c291a1d2152783cf85d11f">_ldlt</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc&lt; R, C &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a3b0c5b165c4253d8052147bc416b28ea">_variA</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc&lt; R, C &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1chainable__alloc.html#a2c6f63c774596d247fb5ef3083a8013d">chainable_alloc</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1chainable__alloc.html">stan::math::chainable_alloc</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a57ddd5cb234667b1c07becffad3b77de">compute</a>(const Eigen::Matrix&lt; var, R, C &gt; &amp;A)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc&lt; R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a5fc32fdc53e7e4c25fdb0343202f1280">LDLT_alloc</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc&lt; R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a7a68a93a89754c5b566bd5ad2fc9b40e">LDLT_alloc</a>(const Eigen::Matrix&lt; var, R, C &gt; &amp;A)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc&lt; R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#ab5039b38ec6d0cf6fb6ef49f4d837ce3">log_abs_det</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc&lt; R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a80ff851844006a74407e5958b1aa41a8">N_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc&lt; R, C &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1chainable__alloc.html#aaca3bd4f138cfd11f43e984c241463ce">~chainable_alloc</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1chainable__alloc.html">stan::math::chainable_alloc</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-attribs">Public Attributes</a> &#124;
+<a href="classstan_1_1math_1_1_l_d_l_t__alloc-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::LDLT_alloc&lt; R, C &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This object stores the actual (double typed) LDLT factorization of an Eigen::Matrix&lt;var&gt; along with pointers to its vari's which allow the *_ldlt functions to save memory.  
+ <a href="classstan_1_1math_1_1_l_d_l_t__alloc.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="_l_d_l_t__alloc_8hpp_source.html">LDLT_alloc.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::LDLT_alloc&lt; R, C &gt;:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1_l_d_l_t__alloc.png" usemap="#stan::math::LDLT_alloc&lt; R, C &gt;_map" alt=""/>
+  <map id="stan::math::LDLT_alloc&lt; R, C &gt;_map" name="stan::math::LDLT_alloc&lt; R, C &gt;_map">
+<area href="classstan_1_1math_1_1chainable__alloc.html" title="A chainable_alloc is an object which is constructed and destructed normally but the memory lifespan i..." alt="stan::math::chainable_alloc" shape="rect" coords="0,0,187,24"/>
+</map>
+ </div></div>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a5fc32fdc53e7e4c25fdb0343202f1280"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a5fc32fdc53e7e4c25fdb0343202f1280">LDLT_alloc</a> ()</td></tr>
+<tr class="separator:a5fc32fdc53e7e4c25fdb0343202f1280"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7a68a93a89754c5b566bd5ad2fc9b40e"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a7a68a93a89754c5b566bd5ad2fc9b40e">LDLT_alloc</a> (const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;A)</td></tr>
+<tr class="separator:a7a68a93a89754c5b566bd5ad2fc9b40e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a57ddd5cb234667b1c07becffad3b77de"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a57ddd5cb234667b1c07becffad3b77de">compute</a> (const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;A)</td></tr>
+<tr class="memdesc:a57ddd5cb234667b1c07becffad3b77de"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the LDLT factorization and store pointers to the vari's of the matrix entries to be used when chain() is called elsewhere.  <a href="#a57ddd5cb234667b1c07becffad3b77de">More...</a><br /></td></tr>
+<tr class="separator:a57ddd5cb234667b1c07becffad3b77de"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab5039b38ec6d0cf6fb6ef49f4d837ce3"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#ab5039b38ec6d0cf6fb6ef49f4d837ce3">log_abs_det</a> () const </td></tr>
+<tr class="memdesc:ab5039b38ec6d0cf6fb6ef49f4d837ce3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the log(abs(det(A))). This is just a convenience function.  <a href="#ab5039b38ec6d0cf6fb6ef49f4d837ce3">More...</a><br /></td></tr>
+<tr class="separator:ab5039b38ec6d0cf6fb6ef49f4d837ce3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1chainable__alloc"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1chainable__alloc')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1chainable__alloc.html">stan::math::chainable_alloc</a></td></tr>
+<tr class="memitem:a2c6f63c774596d247fb5ef3083a8013d inherit pub_methods_classstan_1_1math_1_1chainable__alloc"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1chainable__alloc.html#a2c6f63c774596d247fb5ef3083a8013d">chainable_alloc</a> ()</td></tr>
+<tr class="separator:a2c6f63c774596d247fb5ef3083a8013d inherit pub_methods_classstan_1_1math_1_1chainable__alloc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aaca3bd4f138cfd11f43e984c241463ce inherit pub_methods_classstan_1_1math_1_1chainable__alloc"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1chainable__alloc.html#aaca3bd4f138cfd11f43e984c241463ce">~chainable_alloc</a> ()</td></tr>
+<tr class="separator:aaca3bd4f138cfd11f43e984c241463ce inherit pub_methods_classstan_1_1math_1_1chainable__alloc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:a80ff851844006a74407e5958b1aa41a8"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a80ff851844006a74407e5958b1aa41a8">N_</a></td></tr>
+<tr class="separator:a80ff851844006a74407e5958b1aa41a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a31f5c61c30c291a1d2152783cf85d11f"><td class="memItemLeft" align="right" valign="top">Eigen::LDLT&lt; Eigen::Matrix&lt; double, R, C &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a31f5c61c30c291a1d2152783cf85d11f">_ldlt</a></td></tr>
+<tr class="separator:a31f5c61c30c291a1d2152783cf85d11f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3b0c5b165c4253d8052147bc416b28ea"><td class="memItemLeft" align="right" valign="top">Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *, R, C &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a3b0c5b165c4253d8052147bc416b28ea">_variA</a></td></tr>
+<tr class="separator:a3b0c5b165c4253d8052147bc416b28ea"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;int R, int C&gt;<br />
+class stan::math::LDLT_alloc&lt; R, C &gt;</h3>
+
+<p>This object stores the actual (double typed) LDLT factorization of an Eigen::Matrix&lt;var&gt; along with pointers to its vari's which allow the *_ldlt functions to save memory. </p>
+<p>It is derived from a <a class="el" href="classstan_1_1math_1_1chainable__alloc.html" title="A chainable_alloc is an object which is constructed and destructed normally but the memory lifespan i...">chainable_alloc</a> object so that it is allocated on the stack but does not have a chain() function called.</p>
+<p>This class should only be instantiated as part of an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> object and is only used in *_ldlt functions. </p>
+
+<p>Definition at line <a class="el" href="_l_d_l_t__alloc_8hpp_source.html#l00020">20</a> of file <a class="el" href="_l_d_l_t__alloc_8hpp_source.html">LDLT_alloc.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a5fc32fdc53e7e4c25fdb0343202f1280"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc</a>&lt; R, C &gt;::<a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">LDLT_alloc</a> </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_l_d_l_t__alloc_8hpp_source.html#l00022">22</a> of file <a class="el" href="_l_d_l_t__alloc_8hpp_source.html">LDLT_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7a68a93a89754c5b566bd5ad2fc9b40e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc</a>&lt; R, C &gt;::<a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">LDLT_alloc</a> </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_l_d_l_t__alloc_8hpp_source.html#l00023">23</a> of file <a class="el" href="_l_d_l_t__alloc_8hpp_source.html">LDLT_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a57ddd5cb234667b1c07becffad3b77de"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc</a>&lt; R, C &gt;::compute </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Compute the LDLT factorization and store pointers to the vari's of the matrix entries to be used when chain() is called elsewhere. </p>
+
+<p>Definition at line <a class="el" href="_l_d_l_t__alloc_8hpp_source.html#l00032">32</a> of file <a class="el" href="_l_d_l_t__alloc_8hpp_source.html">LDLT_alloc.hpp</a>.</p>
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+        <tr>
+          <td class="memname">double <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc</a>&lt; R, C &gt;::log_abs_det </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Compute the log(abs(det(A))). This is just a convenience function. </p>
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+<p>Definition at line <a class="el" href="_l_d_l_t__alloc_8hpp_source.html#l00049">49</a> of file <a class="el" href="_l_d_l_t__alloc_8hpp_source.html">LDLT_alloc.hpp</a>.</p>
+
+</div>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_l_d_l_t__alloc_8hpp_source.html#l00054">54</a> of file <a class="el" href="_l_d_l_t__alloc_8hpp_source.html">LDLT_alloc.hpp</a>.</p>
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+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_l_d_l_t__alloc_8hpp_source.html#l00055">55</a> of file <a class="el" href="_l_d_l_t__alloc_8hpp_source.html">LDLT_alloc.hpp</a>.</p>
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+</div>
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+<div class="memproto">
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+template&lt;int R, int C&gt; </div>
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+          <td class="memname">size_t <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc</a>&lt; R, C &gt;::N_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_l_d_l_t__alloc_8hpp_source.html#l00053">53</a> of file <a class="el" href="_l_d_l_t__alloc_8hpp_source.html">LDLT_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/mat/fun/<a class="el" href="_l_d_l_t__alloc_8hpp_source.html">LDLT_alloc.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+<div class="title">stan::math::LDLT_factor&lt; T, R, C &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
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+<p><code>#include &lt;<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>&gt;</code></p>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, int R, int C&gt;<br />
+class stan::math::LDLT_factor&lt; T, R, C &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00018">18</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+</div><hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a></li>
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+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">LDLT_factor&lt; T, R, C &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
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+<div class="title">stan::math::LDLT_factor&lt; T, R, C &gt; Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0ffe0d59212a19f9039b478abbacd45e">compute</a>(const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a5b44e5dd48e3e8b8dbc4bc7a37b64d86">inverse</a>(Eigen::Matrix&lt; T, R, C &gt; &amp;invA) const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0de1ea9ce3323c55650a7ee9eef34891">LDLT_factor</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#acd8fab9a85153322a4b00d8fbf00d7f8">LDLT_factor</a>(const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a4762da221ad734ac0d1572df6a16de9c">log_abs_det</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a3b6f930baacb4fb2ecca1acf8d104ffb">matrixLDLT</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#af6c64c2f48290202674bc63736abf0d9">N_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a1d7602fffede73ed7f9d54d480299491">rows</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#ab41da7a836a010a762494c84270edd23">size_type</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0687e6e28885a9c5d0d14bc94cd41d01">solve</a>(const Eigen::MatrixBase&lt; Rhs &gt; &amp;b) const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2e05d02dd6e5bb010b14d1fdc71cea64">solveRight</a>(const Eigen::Matrix&lt; T, R, C &gt; &amp;B) const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a22f6b503fe331aeeac5368b1f10eac0d">success</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2ef573d4866782c4bdcd33865bea11f1">value_type</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#afdec334e2365f43cdbe5a352cb353e2e">vectorD</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+<p><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> is a thin wrapper on Eigen::LDLT to allow for reusing factorizations and efficient autodiff of things like log determinants and solutions to linear systems.  
+ <a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:ab41da7a836a010a762494c84270edd23"><td class="memItemLeft" align="right" valign="top">typedef size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#ab41da7a836a010a762494c84270edd23">size_type</a></td></tr>
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+<tr class="memitem:a2ef573d4866782c4bdcd33865bea11f1"><td class="memItemLeft" align="right" valign="top">typedef double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2ef573d4866782c4bdcd33865bea11f1">value_type</a></td></tr>
+<tr class="separator:a2ef573d4866782c4bdcd33865bea11f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a0de1ea9ce3323c55650a7ee9eef34891"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0de1ea9ce3323c55650a7ee9eef34891">LDLT_factor</a> ()</td></tr>
+<tr class="separator:a0de1ea9ce3323c55650a7ee9eef34891"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acd8fab9a85153322a4b00d8fbf00d7f8"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#acd8fab9a85153322a4b00d8fbf00d7f8">LDLT_factor</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td></tr>
+<tr class="separator:acd8fab9a85153322a4b00d8fbf00d7f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0ffe0d59212a19f9039b478abbacd45e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0ffe0d59212a19f9039b478abbacd45e">compute</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td></tr>
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+<tr class="memitem:a22f6b503fe331aeeac5368b1f10eac0d"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a22f6b503fe331aeeac5368b1f10eac0d">success</a> () const </td></tr>
+<tr class="separator:a22f6b503fe331aeeac5368b1f10eac0d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4762da221ad734ac0d1572df6a16de9c"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a4762da221ad734ac0d1572df6a16de9c">log_abs_det</a> () const </td></tr>
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+<tr class="memitem:a0687e6e28885a9c5d0d14bc94cd41d01"><td class="memTemplParams" colspan="2">template&lt;typename Rhs &gt; </td></tr>
+<tr class="memitem:a0687e6e28885a9c5d0d14bc94cd41d01"><td class="memTemplItemLeft" align="right" valign="top">const Eigen::internal::solve_retval&lt; Eigen::LDLT&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;, Rhs &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0687e6e28885a9c5d0d14bc94cd41d01">solve</a> (const Eigen::MatrixBase&lt; Rhs &gt; &amp;b) const </td></tr>
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+<tr class="separator:a3b6f930baacb4fb2ecca1acf8d104ffb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1d7602fffede73ed7f9d54d480299491"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a1d7602fffede73ed7f9d54d480299491">rows</a> () const </td></tr>
+<tr class="separator:a1d7602fffede73ed7f9d54d480299491"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a73fd3def8c2a23ff4afbc5db359f4f84"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a73fd3def8c2a23ff4afbc5db359f4f84">cols</a> () const </td></tr>
+<tr class="separator:a73fd3def8c2a23ff4afbc5db359f4f84"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:af6c64c2f48290202674bc63736abf0d9"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#af6c64c2f48290202674bc63736abf0d9">N_</a></td></tr>
+<tr class="separator:af6c64c2f48290202674bc63736abf0d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a27b82bfd635b040326895c282e9edb43"><td class="memItemLeft" align="right" valign="top">boost::shared_ptr&lt; Eigen::LDLT&lt; Eigen::Matrix&lt; T, R, C &gt; &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a27b82bfd635b040326895c282e9edb43">_ldltP</a></td></tr>
+<tr class="separator:a27b82bfd635b040326895c282e9edb43"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;int R, int C, typename T&gt;<br />
+class stan::math::LDLT_factor&lt; T, R, C &gt;</h3>
+
+<p><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> is a thin wrapper on Eigen::LDLT to allow for reusing factorizations and efficient autodiff of things like log determinants and solutions to linear systems. </p>
+<p>After the constructor and/or <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0ffe0d59212a19f9039b478abbacd45e">compute()</a> is called users of <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> are responsible for calling <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a22f6b503fe331aeeac5368b1f10eac0d">success()</a> to check whether the factorization has succeeded. Use of an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> object (e.g., in mdivide_left_ldlt) is undefined if <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a22f6b503fe331aeeac5368b1f10eac0d">success()</a> is false.</p>
+<p>It's usage pattern is:</p>
+<ul>
+<li><p class="startli">~~~ Eigen::Matrix&lt;T, R, C&gt; A1, A2;</p>
+<p class="startli"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html" title="LDLT_factor is a thin wrapper on Eigen::LDLT to allow for reusing factorizations and efficient autodi...">LDLT_factor&lt;T, R, C&gt;</a> ldlt_A1(A1); <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html" title="LDLT_factor is a thin wrapper on Eigen::LDLT to allow for reusing factorizations and efficient autodi...">LDLT_factor&lt;T, R, C&gt;</a> ldlt_A2; ldlt_A2.compute(A2);</p>
+</li>
+<li><p class="startli">~~~</p>
+<p class="startli">Now, the caller should check that ldlt_A1.success() and ldlt_A2.success() are true or abort accordingly. Alternatively, call <a class="el" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d" title="Return true if the argument is a valid stan::math::LDLT_factor. ">check_ldlt_factor()</a>.</p>
+<p class="startli">Note that ldlt_A1 and ldlt_A2 are completely equivalent. They simply demonstrate two different ways to construct the factorization.</p>
+<p class="startli">Now, the caller can use the <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> objects as needed. For instance</p>
+</li>
+<li><p class="startli">~~~ x1 = mdivide_left_ldlt(ldlt_A1, b1); x2 = mdivide_right_ldlt(b2, ldlt_A2);</p>
+<p class="startli">d1 = log_determinant_ldlt(ldlt_A1); d2 = log_determinant_ldlt(ldlt_A2);</p>
+</li>
+<li>~~~ </li>
+</ul>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00058">58</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="ab41da7a836a010a762494c84270edd23"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef size_t <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::<a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#ab41da7a836a010a762494c84270edd23">size_type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00125">125</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2ef573d4866782c4bdcd33865bea11f1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef double <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::<a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2ef573d4866782c4bdcd33865bea11f1">value_type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00126">126</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a0de1ea9ce3323c55650a7ee9eef34891"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::<a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00060">60</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acd8fab9a85153322a4b00d8fbf00d7f8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::<a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00063">63</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a73fd3def8c2a23ff4afbc5db359f4f84"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::cols </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
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+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00123">123</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0ffe0d59212a19f9039b478abbacd45e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
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+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::compute </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00068">68</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5b44e5dd48e3e8b8dbc4bc7a37b64d86"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::inverse </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>invA</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00097">97</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4762da221ad734ac0d1572df6a16de9c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::log_abs_det </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00093">93</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3b6f930baacb4fb2ecca1acf8d104ffb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::LDLT&lt;Eigen::Matrix&lt;T, R, C&gt; &gt; <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::matrixLDLT </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00118">118</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1d7602fffede73ed7f9d54d480299491"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::rows </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00122">122</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0687e6e28885a9c5d0d14bc94cd41d01"></a>
+<div class="memitem">
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+template&lt;int R, int C, typename T &gt; </div>
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+template&lt;typename Rhs &gt; </div>
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+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const Eigen::internal::solve_retval&lt;Eigen::LDLT&lt; Eigen::Matrix&lt;T, R, C&gt; &gt;, Rhs&gt; <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::solve </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::MatrixBase&lt; Rhs &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00105">105</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2e05d02dd6e5bb010b14d1fdc71cea64"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
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+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, R, C&gt; <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::solveRight </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00110">110</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a22f6b503fe331aeeac5368b1f10eac0d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::success </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00074">74</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afdec334e2365f43cdbe5a352cb353e2e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::vectorD </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00114">114</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a27b82bfd635b040326895c282e9edb43"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::shared_ptr&lt; Eigen::LDLT&lt; Eigen::Matrix&lt;T, R, C&gt; &gt; &gt; <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::_ldltP</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00129">129</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af6c64c2f48290202674bc63736abf0d9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt;::N_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00128">128</a> of file <a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4-members.html b/doc/api/html/classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4-members.html
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+  $(document).ready(function() { init_search(); });
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
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+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">LDLT_factor&lt; stan::math::var, R, C &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a26108bbfc96084647517312ce22d11a4">_alloc</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac34a025473a988e2393db45dfdaa6288">cols</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#abb2f0b7a7abb1aee5157b3c2cd3ffa83">compute</a>(const Eigen::Matrix&lt; stan::math::var, R, C &gt; &amp;A)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ade86bbc6c4946e8c2ae0a5e64448bb0c">LDLT_factor</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a2af6b704a60e27003e78625da2a3065a">LDLT_factor</a>(const Eigen::Matrix&lt; stan::math::var, R, C &gt; &amp;A)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac71a0527f0d5cddaad94fe39b6d6df32">rows</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ab38a23d055a57197a720a66c7b089339">size_type</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a10f45f6aab48c0ffc6b4d0ad0e6c19b9">solve</a>(const Eigen::MatrixBase&lt; Rhs &gt; &amp;b) const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a3ed28e459ba5ce68d97daf4eb0cc780e">success</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#afd02ee536695f8d22fc5f43add1383d4">value_type</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac9188aad7bdd50d4031449e7df91f890">vectorD</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
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+      <li><a href="functions.html"><span>Class&#160;Members</span></a></li>
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+<!-- window showing the filter options -->
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">LDLT_factor&lt; stan::math::var, R, C &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-attribs">Public Attributes</a> &#124;
+<a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>A template specialization of src/stan/math/matrix/LDLT_factor.hpp for <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> which can be used with all the *_ldlt functions.  
+ <a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:ab38a23d055a57197a720a66c7b089339"><td class="memItemLeft" align="right" valign="top">typedef size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ab38a23d055a57197a720a66c7b089339">size_type</a></td></tr>
+<tr class="separator:ab38a23d055a57197a720a66c7b089339"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afd02ee536695f8d22fc5f43add1383d4"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#afd02ee536695f8d22fc5f43add1383d4">value_type</a></td></tr>
+<tr class="separator:afd02ee536695f8d22fc5f43add1383d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ade86bbc6c4946e8c2ae0a5e64448bb0c"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ade86bbc6c4946e8c2ae0a5e64448bb0c">LDLT_factor</a> ()</td></tr>
+<tr class="memdesc:ade86bbc6c4946e8c2ae0a5e64448bb0c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Default constructor.  <a href="#ade86bbc6c4946e8c2ae0a5e64448bb0c">More...</a><br /></td></tr>
+<tr class="separator:ade86bbc6c4946e8c2ae0a5e64448bb0c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2af6b704a60e27003e78625da2a3065a"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a2af6b704a60e27003e78625da2a3065a">LDLT_factor</a> (const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt; &amp;A)</td></tr>
+<tr class="separator:a2af6b704a60e27003e78625da2a3065a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abb2f0b7a7abb1aee5157b3c2cd3ffa83"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#abb2f0b7a7abb1aee5157b3c2cd3ffa83">compute</a> (const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt; &amp;A)</td></tr>
+<tr class="memdesc:abb2f0b7a7abb1aee5157b3c2cd3ffa83"><td class="mdescLeft">&#160;</td><td class="mdescRight">Use the <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> object to factorize a new matrix.  <a href="#abb2f0b7a7abb1aee5157b3c2cd3ffa83">More...</a><br /></td></tr>
+<tr class="separator:abb2f0b7a7abb1aee5157b3c2cd3ffa83"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a10f45f6aab48c0ffc6b4d0ad0e6c19b9"><td class="memTemplParams" colspan="2">template&lt;typename Rhs &gt; </td></tr>
+<tr class="memitem:a10f45f6aab48c0ffc6b4d0ad0e6c19b9"><td class="memTemplItemLeft" align="right" valign="top">const Eigen::internal::solve_retval&lt; Eigen::LDLT&lt; Eigen::Matrix&lt; double, R, C &gt; &gt;, Rhs &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a10f45f6aab48c0ffc6b4d0ad0e6c19b9">solve</a> (const Eigen::MatrixBase&lt; Rhs &gt; &amp;b) const </td></tr>
+<tr class="memdesc:a10f45f6aab48c0ffc6b4d0ad0e6c19b9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the actual numerical result of inv(A)*b.  <a href="#a10f45f6aab48c0ffc6b4d0ad0e6c19b9">More...</a><br /></td></tr>
+<tr class="separator:a10f45f6aab48c0ffc6b4d0ad0e6c19b9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3ed28e459ba5ce68d97daf4eb0cc780e"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a3ed28e459ba5ce68d97daf4eb0cc780e">success</a> () const </td></tr>
+<tr class="memdesc:a3ed28e459ba5ce68d97daf4eb0cc780e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Determine whether the most recent factorization succeeded.  <a href="#a3ed28e459ba5ce68d97daf4eb0cc780e">More...</a><br /></td></tr>
+<tr class="separator:a3ed28e459ba5ce68d97daf4eb0cc780e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac9188aad7bdd50d4031449e7df91f890"><td class="memItemLeft" align="right" valign="top">Eigen::VectorXd&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac9188aad7bdd50d4031449e7df91f890">vectorD</a> () const </td></tr>
+<tr class="memdesc:ac9188aad7bdd50d4031449e7df91f890"><td class="mdescLeft">&#160;</td><td class="mdescRight">The entries of the diagonal matrix D.  <a href="#ac9188aad7bdd50d4031449e7df91f890">More...</a><br /></td></tr>
+<tr class="separator:ac9188aad7bdd50d4031449e7df91f890"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac71a0527f0d5cddaad94fe39b6d6df32"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac71a0527f0d5cddaad94fe39b6d6df32">rows</a> () const </td></tr>
+<tr class="separator:ac71a0527f0d5cddaad94fe39b6d6df32"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac34a025473a988e2393db45dfdaa6288"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac34a025473a988e2393db45dfdaa6288">cols</a> () const </td></tr>
+<tr class="separator:ac34a025473a988e2393db45dfdaa6288"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:a26108bbfc96084647517312ce22d11a4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc</a>&lt; R, C &gt; *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a26108bbfc96084647517312ce22d11a4">_alloc</a></td></tr>
+<tr class="memdesc:a26108bbfc96084647517312ce22d11a4"><td class="mdescLeft">&#160;</td><td class="mdescRight">The <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html" title="This object stores the actual (double typed) LDLT factorization of an Eigen::Matrix<var> along with p...">LDLT_alloc</a> object actually contains the factorization but is derived from the <a class="el" href="classstan_1_1math_1_1chainable__alloc.html" title="A chainable_alloc is an object which is constructed and destructed normally but the memory lifespan i...">chainable_alloc</a> class so that it is allocated on the vari stack.  <a href="#a26108bbfc96084647517312ce22d11a4">More...</a><br /></td></tr>
+<tr class="separator:a26108bbfc96084647517312ce22d11a4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;int R, int C&gt;<br />
+class stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</h3>
+
+<p>A template specialization of src/stan/math/matrix/LDLT_factor.hpp for <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> which can be used with all the *_ldlt functions. </p>
+<p>The usage pattern is:</p>
+<ul>
+<li><p class="startli">~~~ Eigen::Matrix&lt;T, R, C&gt; A1, A2;</p>
+<p class="startli"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html" title="LDLT_factor is a thin wrapper on Eigen::LDLT to allow for reusing factorizations and efficient autodi...">LDLT_factor&lt;T, R, C&gt;</a> ldlt_A1(A1); <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html" title="LDLT_factor is a thin wrapper on Eigen::LDLT to allow for reusing factorizations and efficient autodi...">LDLT_factor&lt;T, R, C&gt;</a> ldlt_A2; ldlt_A2.compute(A2);</p>
+</li>
+<li><p class="startli">~~~</p>
+<p class="startli">Now, the caller should check that ldlt_A1.success() and ldlt_A2.success() are true or abort accordingly. Alternatively, call <a class="el" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d" title="Return true if the argument is a valid stan::math::LDLT_factor. ">check_ldlt_factor()</a>. The behaviour of using an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> without <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a3ed28e459ba5ce68d97daf4eb0cc780e" title="Determine whether the most recent factorization succeeded. ">success()</a> returning true is undefined.</p>
+<p class="startli">Note that ldlt_A1 and ldlt_A2 are completely equivalent. They simply demonstrate two different ways to construct the factorization.</p>
+<p class="startli">Now, the caller can use the <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> objects as needed. For instance</p>
+</li>
+<li><p class="startli">~~~ x1 = mdivide_left_ldlt(ldlt_A1, b1); x2 = mdivide_right_ldlt(b2, ldlt_A2);</p>
+<p class="startli">d1 = log_determinant_ldlt(ldlt_A1); d2 = log_determinant_ldlt(ldlt_A2);</p>
+</li>
+<li>~~~ </li>
+</ul>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00045">45</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="ab38a23d055a57197a720a66c7b089339"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef size_t <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt;::<a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ab38a23d055a57197a720a66c7b089339">size_type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00119">119</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd02ee536695f8d22fc5f43add1383d4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt;::<a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#afd02ee536695f8d22fc5f43add1383d4">value_type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00120">120</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ade86bbc6c4946e8c2ae0a5e64448bb0c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt;::<a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Default constructor. </p>
+<p>The caller <em>MUST</em> call <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#abb2f0b7a7abb1aee5157b3c2cd3ffa83" title="Use the LDLT_factor object to factorize a new matrix. ">compute()</a> after this. Any calls which use the <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> without calling <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#abb2f0b7a7abb1aee5157b3c2cd3ffa83" title="Use the LDLT_factor object to factorize a new matrix. ">compute()</a> run the risk of crashing Stan from within <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a>. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00052">52</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2af6b704a60e27003e78625da2a3065a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt;::<a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00054">54</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="ac34a025473a988e2393db45dfdaa6288"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt;::cols </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00117">117</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abb2f0b7a7abb1aee5157b3c2cd3ffa83"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt;::compute </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Use the <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> object to factorize a new matrix. </p>
+<p>After calling this function, the user should call <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a3ed28e459ba5ce68d97daf4eb0cc780e" title="Determine whether the most recent factorization succeeded. ">success()</a> to check that the factorization was successful. If the factorization is not successful, the <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> is not valid and other functions should not be used.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>A symmetric positive definite matrix to factorize </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00067">67</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac71a0527f0d5cddaad94fe39b6d6df32"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt;::rows </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00116">116</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a10f45f6aab48c0ffc6b4d0ad0e6c19b9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<div class="memtemplate">
+template&lt;typename Rhs &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const Eigen::internal::solve_retval&lt;Eigen::LDLT&lt;Eigen::Matrix&lt;double, R, C&gt; &gt;, Rhs&gt; <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt;::solve </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::MatrixBase&lt; Rhs &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Compute the actual numerical result of inv(A)*b. </p>
+<p>Note that this isn't meant to handle any of the autodiff. This is a convenience function for the actual implementations in mdivide_left_ldlt.</p>
+<p>Precondition: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a3ed28e459ba5ce68d97daf4eb0cc780e" title="Determine whether the most recent factorization succeeded. ">success()</a> must return true. If <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a3ed28e459ba5ce68d97daf4eb0cc780e" title="Determine whether the most recent factorization succeeded. ">success()</a> returns false, this function runs the risk of crashing Stan from within <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">b</td><td>The right handside. Note that this is templated such that <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a>'s expression-templating magic can work properly here. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00087">87</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3ed28e459ba5ce68d97daf4eb0cc780e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt;::success </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Determine whether the most recent factorization succeeded. </p>
+<p>This should always be called after the object is constructed (with a matrix) or after <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#abb2f0b7a7abb1aee5157b3c2cd3ffa83" title="Use the LDLT_factor object to factorize a new matrix. ">compute()</a> is called. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00096">96</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac9188aad7bdd50d4031449e7df91f890"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::VectorXd <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt;::vectorD </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The entries of the diagonal matrix D. </p>
+<p>They should be strictly positive for a positive definite matrix.</p>
+<p>Precondition: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a3ed28e459ba5ce68d97daf4eb0cc780e" title="Determine whether the most recent factorization succeeded. ">success()</a> must return true. If <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a3ed28e459ba5ce68d97daf4eb0cc780e" title="Determine whether the most recent factorization succeeded. ">success()</a> returns false, this function runs the risk of crashing Stan from within <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a>. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00112">112</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a26108bbfc96084647517312ce22d11a4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc</a>&lt;R, C&gt;* <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt;::_alloc</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html" title="This object stores the actual (double typed) LDLT factorization of an Eigen::Matrix<var> along with p...">LDLT_alloc</a> object actually contains the factorization but is derived from the <a class="el" href="classstan_1_1math_1_1chainable__alloc.html" title="A chainable_alloc is an object which is constructed and destructed normally but the memory lifespan i...">chainable_alloc</a> class so that it is allocated on the vari stack. </p>
+<p>This ensures that it's lifespan is longer than the <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> object which created it. This is needed because the factorization is required during the chain() calls which happen after an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> object will most likely have been destroyed. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00130">130</a> of file <a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/mat/fun/<a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">LDLT_factor.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1accumulator-members.html b/doc/api/html/classstan_1_1math_1_1accumulator-members.html
new file mode 100644
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1accumulator.html">accumulator</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::accumulator&lt; T &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator&lt; T &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html#afb44f3c753ac1373482e123df612a266">accumulator</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator&lt; T &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html#af2da77a509c4e7e9c16d8a6f691a6901">add</a>(S x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator&lt; T &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html#a858c109ee631e131be0d07cf98c702e4">add</a>(const S &amp;x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator&lt; T &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html#af66ce8b37f8d8af158dd38784b34d86b">add</a>(const Eigen::Matrix&lt; S, R, C &gt; &amp;m)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator&lt; T &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html#acf91e7cb369f45142386598d552a30e2">add</a>(const std::vector&lt; S &gt; &amp;xs)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator&lt; T &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html#ad24d63f81d6c3028abc73e102c60edf8">sum</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator&lt; T &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html#a298d4088fbfdfca98d2c8e36a5ea4f1c">~accumulator</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator&lt; T &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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diff --git a/doc/api/html/classstan_1_1math_1_1accumulator.html b/doc/api/html/classstan_1_1math_1_1accumulator.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1accumulator.html">accumulator</a></li>  </ul>
+</div>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1accumulator-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::accumulator&lt; T &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Class to accumulate values and eventually return their sum.  
+ <a href="classstan_1_1math_1_1accumulator.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="accumulator_8hpp_source.html">accumulator.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:afb44f3c753ac1373482e123df612a266"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1accumulator.html#afb44f3c753ac1373482e123df612a266">accumulator</a> ()</td></tr>
+<tr class="memdesc:afb44f3c753ac1373482e123df612a266"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct an accumulator.  <a href="#afb44f3c753ac1373482e123df612a266">More...</a><br /></td></tr>
+<tr class="separator:afb44f3c753ac1373482e123df612a266"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a298d4088fbfdfca98d2c8e36a5ea4f1c"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1accumulator.html#a298d4088fbfdfca98d2c8e36a5ea4f1c">~accumulator</a> ()</td></tr>
+<tr class="memdesc:a298d4088fbfdfca98d2c8e36a5ea4f1c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Destroy an accumulator.  <a href="#a298d4088fbfdfca98d2c8e36a5ea4f1c">More...</a><br /></td></tr>
+<tr class="separator:a298d4088fbfdfca98d2c8e36a5ea4f1c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af2da77a509c4e7e9c16d8a6f691a6901"><td class="memTemplParams" colspan="2">template&lt;typename S &gt; </td></tr>
+<tr class="memitem:af2da77a509c4e7e9c16d8a6f691a6901"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if&lt; boost::is_arithmetic&lt; S &gt;, void &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1accumulator.html#af2da77a509c4e7e9c16d8a6f691a6901">add</a> (S x)</td></tr>
+<tr class="memdesc:af2da77a509c4e7e9c16d8a6f691a6901"><td class="mdescLeft">&#160;</td><td class="mdescRight">Add the specified arithmetic type value to the buffer after static casting it to the class type <code>T</code>.  <a href="#af2da77a509c4e7e9c16d8a6f691a6901">More...</a><br /></td></tr>
+<tr class="separator:af2da77a509c4e7e9c16d8a6f691a6901"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a858c109ee631e131be0d07cf98c702e4"><td class="memTemplParams" colspan="2">template&lt;typename S &gt; </td></tr>
+<tr class="memitem:a858c109ee631e131be0d07cf98c702e4"><td class="memTemplItemLeft" align="right" valign="top">boost::disable_if&lt; boost::is_arithmetic&lt; S &gt;, typename boost::enable_if&lt; boost::is_same&lt; S, T &gt;, void &gt;::type &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1accumulator.html#a858c109ee631e131be0d07cf98c702e4">add</a> (const S &amp;x)</td></tr>
+<tr class="memdesc:a858c109ee631e131be0d07cf98c702e4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Add the specified non-arithmetic value to the buffer.  <a href="#a858c109ee631e131be0d07cf98c702e4">More...</a><br /></td></tr>
+<tr class="separator:a858c109ee631e131be0d07cf98c702e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af66ce8b37f8d8af158dd38784b34d86b"><td class="memTemplParams" colspan="2">template&lt;typename S , int R, int C&gt; </td></tr>
+<tr class="memitem:af66ce8b37f8d8af158dd38784b34d86b"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1accumulator.html#af66ce8b37f8d8af158dd38784b34d86b">add</a> (const Eigen::Matrix&lt; S, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:af66ce8b37f8d8af158dd38784b34d86b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Add each entry in the specified matrix, vector, or row vector of values to the buffer.  <a href="#af66ce8b37f8d8af158dd38784b34d86b">More...</a><br /></td></tr>
+<tr class="separator:af66ce8b37f8d8af158dd38784b34d86b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acf91e7cb369f45142386598d552a30e2"><td class="memTemplParams" colspan="2">template&lt;typename S &gt; </td></tr>
+<tr class="memitem:acf91e7cb369f45142386598d552a30e2"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1accumulator.html#acf91e7cb369f45142386598d552a30e2">add</a> (const std::vector&lt; S &gt; &amp;xs)</td></tr>
+<tr class="memdesc:acf91e7cb369f45142386598d552a30e2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Recursively add each entry in the specified standard vector to the buffer.  <a href="#acf91e7cb369f45142386598d552a30e2">More...</a><br /></td></tr>
+<tr class="separator:acf91e7cb369f45142386598d552a30e2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad24d63f81d6c3028abc73e102c60edf8"><td class="memItemLeft" align="right" valign="top">T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1accumulator.html#ad24d63f81d6c3028abc73e102c60edf8">sum</a> () const </td></tr>
+<tr class="memdesc:ad24d63f81d6c3028abc73e102c60edf8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sum of the accumulated values.  <a href="#ad24d63f81d6c3028abc73e102c60edf8">More...</a><br /></td></tr>
+<tr class="separator:ad24d63f81d6c3028abc73e102c60edf8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+class stan::math::accumulator&lt; T &gt;</h3>
+
+<p>Class to accumulate values and eventually return their sum. </p>
+<p>If no values are ever added, the return value is 0.</p>
+<p>This class is useful for speeding up auto-diff of long sums because it uses the <code><a class="el" href="classstan_1_1math_1_1accumulator.html#ad24d63f81d6c3028abc73e102c60edf8" title="Return the sum of the accumulated values. ">sum()</a></code> operation (either from <code><a class="el" href="namespacestan_1_1math.html" title="Matrices and templated mathematical functions. ">stan::math</a></code> or one defined by argument-dependent lookup.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar added </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="accumulator_8hpp_source.html#l00025">25</a> of file <a class="el" href="accumulator_8hpp_source.html">accumulator.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="afb44f3c753ac1373482e123df612a266"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator</a>&lt; T &gt;::<a class="el" href="classstan_1_1math_1_1accumulator.html">accumulator</a> </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct an accumulator. </p>
+
+<p>Definition at line <a class="el" href="accumulator_8hpp_source.html#l00033">33</a> of file <a class="el" href="accumulator_8hpp_source.html">accumulator.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a298d4088fbfdfca98d2c8e36a5ea4f1c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator</a>&lt; T &gt;::~<a class="el" href="classstan_1_1math_1_1accumulator.html">accumulator</a> </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Destroy an accumulator. </p>
+
+<p>Definition at line <a class="el" href="accumulator_8hpp_source.html#l00040">40</a> of file <a class="el" href="accumulator_8hpp_source.html">accumulator.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="af2da77a509c4e7e9c16d8a6f691a6901"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<div class="memtemplate">
+template&lt;typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if&lt;boost::is_arithmetic&lt;S&gt;, void&gt;::type <a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator</a>&lt; T &gt;::add </td>
+          <td>(</td>
+          <td class="paramtype">S&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Add the specified arithmetic type value to the buffer after static casting it to the class type <code>T</code>. </p>
+<p>See the Boost doc for <code>boost::is_arithmetic</code> for information on what counts as an arithmetic type.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">S</td><td>Type of argument </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value to add </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="accumulator_8hpp_source.html#l00054">54</a> of file <a class="el" href="accumulator_8hpp_source.html">accumulator.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a858c109ee631e131be0d07cf98c702e4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<div class="memtemplate">
+template&lt;typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::disable_if&lt;boost::is_arithmetic&lt;S&gt;, typename boost::enable_if&lt;boost::is_same&lt;S, T&gt;, void&gt;::type &gt;::type <a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator</a>&lt; T &gt;::add </td>
+          <td>(</td>
+          <td class="paramtype">const S &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Add the specified non-arithmetic value to the buffer. </p>
+<p>This function is disabled if the type <code>S</code> is arithmetic or if it's not the same as <code>T</code>.</p>
+<p>See the Boost doc for <code>boost::is_arithmetic</code> for information on what counts as an arithmetic type.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">S</td><td>Type of argument </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value to add </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="accumulator_8hpp_source.html#l00074">74</a> of file <a class="el" href="accumulator_8hpp_source.html">accumulator.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af66ce8b37f8d8af158dd38784b34d86b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<div class="memtemplate">
+template&lt;typename S , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator</a>&lt; T &gt;::add </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; S, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Add each entry in the specified matrix, vector, or row vector of values to the buffer. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">S</td><td>type of values in matrix </td></tr>
+    <tr><td class="paramname">R</td><td>number of rows in matrix </td></tr>
+    <tr><td class="paramname">C</td><td>number of columns in matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Matrix of values to add </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="accumulator_8hpp_source.html#l00088">88</a> of file <a class="el" href="accumulator_8hpp_source.html">accumulator.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acf91e7cb369f45142386598d552a30e2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<div class="memtemplate">
+template&lt;typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator</a>&lt; T &gt;::add </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; S &gt; &amp;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Recursively add each entry in the specified standard vector to the buffer. </p>
+<p>This will allow vectors of primitives, auto-diff variables to be added; if the vector entries are collections, their elements are recursively added.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">S</td><td>Type of value to recursively add. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td>Vector of entries to add </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="accumulator_8hpp_source.html#l00103">103</a> of file <a class="el" href="accumulator_8hpp_source.html">accumulator.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad24d63f81d6c3028abc73e102c60edf8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T <a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator</a>&lt; T &gt;::sum </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the sum of the accumulated values. </p>
+<dl class="section return"><dt>Returns</dt><dd>Sum of accumulated values. </dd></dl>
+
+<p>Definition at line <a class="el" href="accumulator_8hpp_source.html#l00113">113</a> of file <a class="el" href="accumulator_8hpp_source.html">accumulator.hpp</a>.</p>
+
+</div>
+</div>
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+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+</div>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1chainable__alloc-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::chainable_alloc Class Reference</div>  </div>
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+<p>A <a class="el" href="classstan_1_1math_1_1chainable__alloc.html" title="A chainable_alloc is an object which is constructed and destructed normally but the memory lifespan i...">chainable_alloc</a> is an object which is constructed and destructed normally but the memory lifespan is managed along with the arena allocator for the gradient calculation.  
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+<p>A <a class="el" href="classstan_1_1math_1_1chainable__alloc.html" title="A chainable_alloc is an object which is constructed and destructed normally but the memory lifespan i...">chainable_alloc</a> instance must be created with a call to operator new for memory management. </p>
+
+<p>Definition at line <a class="el" href="chainable__alloc_8hpp_source.html#l00016">16</a> of file <a class="el" href="chainable__alloc_8hpp_source.html">chainable_alloc.hpp</a>.</p>
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+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="chainable__alloc_8hpp_source.html#l00018">18</a> of file <a class="el" href="chainable__alloc_8hpp_source.html">chainable_alloc.hpp</a>.</p>
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+
+</div>
+</div>
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+<li>stan/math/rev/core/<a class="el" href="chainable__alloc_8hpp_source.html">chainable_alloc.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#aab81d9945c0a4aaa2ea3c8d1888e2b81">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html">stan::math::cholesky_decompose_v_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a9906839e06f5ae7c5c31b9d0c5fe1454">cholesky_decompose_v_vari</a>(const Eigen::Matrix&lt; var,-1,-1 &gt; &amp;A, const Eigen::Matrix&lt; double,-1,-1 &gt; &amp;L_A)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html">stan::math::cholesky_decompose_v_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
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+<div class="title">stan::math::cholesky_decompose_v_vari Class Reference</div>  </div>
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+<p><code>#include &lt;<a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html">cholesky_decompose.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::cholesky_decompose_v_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1cholesky__decompose__v__vari.png" usemap="#stan::math::cholesky_decompose_v_vari_map" alt=""/>
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+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,237,24"/>
+</map>
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a9906839e06f5ae7c5c31b9d0c5fe1454"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a9906839e06f5ae7c5c31b9d0c5fe1454">cholesky_decompose_v_vari</a> (const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>,-1,-1 &gt; &amp;A, const Eigen::Matrix&lt; double,-1,-1 &gt; &amp;L_A)</td></tr>
+<tr class="separator:a9906839e06f5ae7c5c31b9d0c5fe1454"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:aab81d9945c0a4aaa2ea3c8d1888e2b81"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
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+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a79f912f6bd3f5fe607c1da2f496dc546"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:acd3834b8b6dd6cfa3b799cac9e7739fc"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a733ded3d060d5d780c73a05b6f1402df"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html#l00018">18</a> of file <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html">cholesky_decompose.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a9906839e06f5ae7c5c31b9d0c5fe1454"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
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+        <tr>
+          <td class="memname">stan::math::cholesky_decompose_v_vari::cholesky_decompose_v_vari </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>,-1,-1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double,-1,-1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>L_A</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html#l00041">41</a> of file <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html">cholesky_decompose.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="aab81d9945c0a4aaa2ea3c8d1888e2b81"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
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+      <table class="memname">
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+          <td class="memname">virtual void stan::math::cholesky_decompose_v_vari::chain </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">virtual</span></span>  </td>
+  </tr>
+</table>
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+<p>Apply the chain rule to this variable based on the variables on which it depends. </p>
+<p>The base implementation in this class is a no-op. </p>
+
+<p>Reimplemented from <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">stan::math::vari</a>.</p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html#l00078">78</a> of file <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html">cholesky_decompose.hpp</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">int stan::math::cholesky_decompose_v_vari::M_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html#l00020">20</a> of file <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html">cholesky_decompose.hpp</a>.</p>
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+<div class="memitem">
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+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>** stan::math::cholesky_decompose_v_vari::variRefA_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html#l00021">21</a> of file <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html">cholesky_decompose.hpp</a>.</p>
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+</div>
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+<a class="anchor" id="a733ded3d060d5d780c73a05b6f1402df"></a>
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+<div class="memproto">
+      <table class="memname">
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+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>** stan::math::cholesky_decompose_v_vari::variRefL_</td>
+        </tr>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html#l00022">22</a> of file <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html">cholesky_decompose.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/mat/fun/<a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html">cholesky_decompose.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+<!-- window showing the filter options -->
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1container__view.html">container_view</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1container__view-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::container_view&lt; T1, T2 &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Primary template class for container view of array y with same structure as T1 and size as x.  
+ <a href="classstan_1_1math_1_1container__view.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a6fe36f3d62137ef5755cedcc69b64d22"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view.html#a6fe36f3d62137ef5755cedcc69b64d22">container_view</a> (const T1 &amp;x, T2 *y)</td></tr>
+<tr class="memdesc:a6fe36f3d62137ef5755cedcc69b64d22"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor.  <a href="#a6fe36f3d62137ef5755cedcc69b64d22">More...</a><br /></td></tr>
+<tr class="separator:a6fe36f3d62137ef5755cedcc69b64d22"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7ed8e00a52b48d1ba3ebbc4fa38e11ce"><td class="memItemLeft" align="right" valign="top">T2 &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view.html#a7ed8e00a52b48d1ba3ebbc4fa38e11ce">operator[]</a> (int i)</td></tr>
+<tr class="memdesc:a7ed8e00a52b48d1ba3ebbc4fa38e11ce"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classstan_1_1math_1_1container__view.html#a7ed8e00a52b48d1ba3ebbc4fa38e11ce" title="operator[](int i) returns reference to view, indexed by i Specialization handle appropriate broadcast...">operator[](int i)</a> returns reference to view, indexed by i Specialization handle appropriate broadcasting if size of x is 1  <a href="#a7ed8e00a52b48d1ba3ebbc4fa38e11ce">More...</a><br /></td></tr>
+<tr class="separator:a7ed8e00a52b48d1ba3ebbc4fa38e11ce"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2&gt;<br />
+class stan::math::container_view&lt; T1, T2 &gt;</h3>
+
+<p>Primary template class for container view of array y with same structure as T1 and size as x. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>type of view. </td></tr>
+    <tr><td class="paramname">T2</td><td>type of scalar returned by view. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2container__view_8hpp_source.html#l00022">22</a> of file <a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a6fe36f3d62137ef5755cedcc69b64d22"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; T1, T2 &gt;::<a class="el" href="classstan_1_1math_1_1container__view.html">container_view</a> </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T2 *&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Constructor. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>object from which size is to be inferred </td></tr>
+    <tr><td class="paramname">y</td><td>underlying array </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2container__view_8hpp_source.html#l00030">30</a> of file <a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a7ed8e00a52b48d1ba3ebbc4fa38e11ce"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T2&amp; <a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; T1, T2 &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><a class="el" href="classstan_1_1math_1_1container__view.html#a7ed8e00a52b48d1ba3ebbc4fa38e11ce" title="operator[](int i) returns reference to view, indexed by i Specialization handle appropriate broadcast...">operator[](int i)</a> returns reference to view, indexed by i Specialization handle appropriate broadcasting if size of x is 1 </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">i</td><td>index </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2container__view_8hpp_source.html#l00040">40</a> of file <a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html">container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#ada334e228fbc14af8df1cce4d9dc49fa">container_view</a>(const Eigen::Matrix&lt; T1, R, C &gt; &amp;x, T2 *y)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#acfe66b51d58fa11069c5ad4b9efea9ec">operator[]</a>(int i)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+</table></div><!-- contents -->
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html">container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_ei01a1980462c3df2fa39d131bf0f86062.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template specialization for Eigen::Map view of array with scalar type T2 with size inferred from input Eigen::Matrix.  
+ <a href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ada334e228fbc14af8df1cce4d9dc49fa"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#ada334e228fbc14af8df1cce4d9dc49fa">container_view</a> (const Eigen::Matrix&lt; T1, R, C &gt; &amp;x, T2 *y)</td></tr>
+<tr class="memdesc:ada334e228fbc14af8df1cce4d9dc49fa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize Map dimensions with input matrix dimensions.  <a href="#ada334e228fbc14af8df1cce4d9dc49fa">More...</a><br /></td></tr>
+<tr class="separator:ada334e228fbc14af8df1cce4d9dc49fa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acfe66b51d58fa11069c5ad4b9efea9ec"><td class="memItemLeft" align="right" valign="top">Eigen::Map&lt; Eigen::Matrix&lt; T2, R, C &gt; &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#acfe66b51d58fa11069c5ad4b9efea9ec">operator[]</a> (int i)</td></tr>
+<tr class="memdesc:acfe66b51d58fa11069c5ad4b9efea9ec"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#acfe66b51d58fa11069c5ad4b9efea9ec" title="operator[](int i) returns Eigen::Map y ">operator[](int i)</a> returns Eigen::Map y  <a href="#acfe66b51d58fa11069c5ad4b9efea9ec">More...</a><br /></td></tr>
+<tr class="separator:acfe66b51d58fa11069c5ad4b9efea9ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2, int R, int C&gt;<br />
+class stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</h3>
+
+<p>Template specialization for Eigen::Map view of array with scalar type T2 with size inferred from input Eigen::Matrix. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>scalar type of input matrix </td></tr>
+    <tr><td class="paramname">T2</td><td>scalar type of view. </td></tr>
+    <tr><td class="paramname">R</td><td>rows of input matrix and view </td></tr>
+    <tr><td class="paramname">C</td><td>columns of input matrix and view </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2meta_2container__view_8hpp_source.html#l00023">23</a> of file <a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ada334e228fbc14af8df1cce4d9dc49fa"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;::<a class="el" href="classstan_1_1math_1_1container__view.html">container_view</a> </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T2 *&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Initialize Map dimensions with input matrix dimensions. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input matrix </td></tr>
+    <tr><td class="paramname">y</td><td>underlying array </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2meta_2container__view_8hpp_source.html#l00032">32</a> of file <a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="acfe66b51d58fa11069c5ad4b9efea9ec"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Map&lt;Eigen::Matrix&lt;T2, R, C&gt; &gt;&amp; <a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#acfe66b51d58fa11069c5ad4b9efea9ec" title="operator[](int i) returns Eigen::Map y ">operator[](int i)</a> returns Eigen::Map y </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">i</td><td>index </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2meta_2container__view_8hpp_source.html#l00040">40</a> of file <a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html">container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#ad29aea372283a2198c9b41813cb283c6">container_view</a>(const Eigen::Matrix&lt; T1, R, C &gt; &amp;x, T2 *y)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#af2100b835c918d3f7c7bac8d6ec32937">operator[]</a>(int i)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html b/doc/api/html/classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html">container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template specialization for scalar view of array y with scalar type T2.  
+ <a href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ad29aea372283a2198c9b41813cb283c6"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#ad29aea372283a2198c9b41813cb283c6">container_view</a> (const Eigen::Matrix&lt; T1, R, C &gt; &amp;x, T2 *y)</td></tr>
+<tr class="memdesc:ad29aea372283a2198c9b41813cb283c6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor.  <a href="#ad29aea372283a2198c9b41813cb283c6">More...</a><br /></td></tr>
+<tr class="separator:ad29aea372283a2198c9b41813cb283c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af2100b835c918d3f7c7bac8d6ec32937"><td class="memItemLeft" align="right" valign="top">T2 &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#af2100b835c918d3f7c7bac8d6ec32937">operator[]</a> (int i)</td></tr>
+<tr class="memdesc:af2100b835c918d3f7c7bac8d6ec32937"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#af2100b835c918d3f7c7bac8d6ec32937" title="operator[](int i) returns reference to scalar of type T2 at appropriate index i in array y ...">operator[](int i)</a> returns reference to scalar of type T2 at appropriate index i in array y  <a href="#af2100b835c918d3f7c7bac8d6ec32937">More...</a><br /></td></tr>
+<tr class="separator:af2100b835c918d3f7c7bac8d6ec32937"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2, int R, int C&gt;<br />
+class stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</h3>
+
+<p>Template specialization for scalar view of array y with scalar type T2. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>scalar type of input matrix </td></tr>
+    <tr><td class="paramname">T2</td><td>scalar type returned by view. </td></tr>
+    <tr><td class="paramname">R</td><td>rows of input matrix and view </td></tr>
+    <tr><td class="paramname">C</td><td>columns of input matrix and view </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2meta_2container__view_8hpp_source.html#l00058">58</a> of file <a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ad29aea372283a2198c9b41813cb283c6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;::<a class="el" href="classstan_1_1math_1_1container__view.html">container_view</a> </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T2 *&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Constructor. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input matrix </td></tr>
+    <tr><td class="paramname">y</td><td>underlying array </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2meta_2container__view_8hpp_source.html#l00066">66</a> of file <a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="af2100b835c918d3f7c7bac8d6ec32937"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T2&amp; <a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#af2100b835c918d3f7c7bac8d6ec32937" title="operator[](int i) returns reference to scalar of type T2 at appropriate index i in array y ...">operator[](int i)</a> returns reference to scalar of type T2 at appropriate index i in array y </p>
+
+<p>Definition at line <a class="el" href="mat_2meta_2container__view_8hpp_source.html#l00073">73</a> of file <a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4-members.html b/doc/api/html/classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4-members.html
new file mode 100644
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<table cellspacing="0" cellpadding="0">
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html">container_view&lt; dummy, T2 &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::container_view&lt; dummy, T2 &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html">stan::math::container_view&lt; dummy, T2 &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a50bf179032b8fe16201ded36c2d195f1">container_view</a>(const T1 &amp;x, scalar_t *y)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html">stan::math::container_view&lt; dummy, T2 &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a19e3e8ef5cb77f25dc82a3da6711d7b8">operator[]</a>(int n) const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html">stan::math::container_view&lt; dummy, T2 &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">scalar_t</a> typedef</td><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html">stan::math::container_view&lt; dummy, T2 &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html b/doc/api/html/classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html
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@@ -0,0 +1,256 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
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+<script type="text/javascript" src="jquery.js"></script>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html">container_view&lt; dummy, T2 &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::container_view&lt; dummy, T2 &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Dummy type specialization, used in conjunction with struct dummy as described above.  
+ <a href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a54c09070ade34e51b79b2679b9819304"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1scalar__type.html">stan::scalar_type</a>&lt; T2 &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">scalar_t</a></td></tr>
+<tr class="separator:a54c09070ade34e51b79b2679b9819304"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a50bf179032b8fe16201ded36c2d195f1"><td class="memTemplParams" colspan="2">template&lt;typename T1 &gt; </td></tr>
+<tr class="memitem:a50bf179032b8fe16201ded36c2d195f1"><td class="memTemplItemLeft" align="right" valign="top">&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a50bf179032b8fe16201ded36c2d195f1">container_view</a> (const T1 &amp;x, <a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">scalar_t</a> *y)</td></tr>
+<tr class="memdesc:a50bf179032b8fe16201ded36c2d195f1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Nothing initialized.  <a href="#a50bf179032b8fe16201ded36c2d195f1">More...</a><br /></td></tr>
+<tr class="separator:a50bf179032b8fe16201ded36c2d195f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a19e3e8ef5cb77f25dc82a3da6711d7b8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">scalar_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a19e3e8ef5cb77f25dc82a3da6711d7b8">operator[]</a> (int n) const </td></tr>
+<tr class="memdesc:a19e3e8ef5cb77f25dc82a3da6711d7b8"><td class="mdescLeft">&#160;</td><td class="mdescRight">operator[](int i) throws exception  <a href="#a19e3e8ef5cb77f25dc82a3da6711d7b8">More...</a><br /></td></tr>
+<tr class="separator:a19e3e8ef5cb77f25dc82a3da6711d7b8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T2&gt;<br />
+class stan::math::container_view&lt; dummy, T2 &gt;</h3>
+
+<p>Dummy type specialization, used in conjunction with struct dummy as described above. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T2</td><td>type of scalar returned by view </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2container__view_8hpp_source.html#l00063">63</a> of file <a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a54c09070ade34e51b79b2679b9819304"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T2 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="structstan_1_1scalar__type.html">stan::scalar_type</a>&lt;T2&gt;::type <a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; <a class="el" href="structstan_1_1math_1_1dummy.html">dummy</a>, T2 &gt;::<a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">scalar_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2container__view_8hpp_source.html#l00065">65</a> of file <a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a50bf179032b8fe16201ded36c2d195f1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T2 &gt; </div>
+<div class="memtemplate">
+template&lt;typename T1 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; <a class="el" href="structstan_1_1math_1_1dummy.html">dummy</a>, T2 &gt;::<a class="el" href="classstan_1_1math_1_1container__view.html">container_view</a> </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">scalar_t</a> *&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Nothing initialized. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input object </td></tr>
+    <tr><td class="paramname">y</td><td>underlying array </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2container__view_8hpp_source.html#l00074">74</a> of file <a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a19e3e8ef5cb77f25dc82a3da6711d7b8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">scalar_t</a> <a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; <a class="el" href="structstan_1_1math_1_1dummy.html">dummy</a>, T2 &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>operator[](int i) throws exception </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">n</td><td>index </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2container__view_8hpp_source.html#l00082">82</a> of file <a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html b/doc/api/html/classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html
new file mode 100644
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt; Class Template Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
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+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+<!-- window showing the filter options -->
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html">container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_d59ff4398db754b230f0577ac690f39e.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template specialization for matrix view of array y with scalar type T2 with shape equal to x.  
+ <a href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a9e85ebcc143d65666cc17117257e67ce"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html#a9e85ebcc143d65666cc17117257e67ce">container_view</a> (const std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt; &amp;x, T2 *y)</td></tr>
+<tr class="memdesc:a9e85ebcc143d65666cc17117257e67ce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor assumes all matrix elements in std::vector are of same dimension.  <a href="#a9e85ebcc143d65666cc17117257e67ce">More...</a><br /></td></tr>
+<tr class="separator:a9e85ebcc143d65666cc17117257e67ce"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a35cb78b1c79de2b31dbed7b8390fa9aa"><td class="memItemLeft" align="right" valign="top">Eigen::Map&lt; Eigen::Matrix&lt; T2, R, C &gt; &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html#a35cb78b1c79de2b31dbed7b8390fa9aa">operator[]</a> (int i)</td></tr>
+<tr class="memdesc:a35cb78b1c79de2b31dbed7b8390fa9aa"><td class="mdescLeft">&#160;</td><td class="mdescRight">operator[](int i) returns matrix view of scalartype T2 at appropriate index i in array y  <a href="#a35cb78b1c79de2b31dbed7b8390fa9aa">More...</a><br /></td></tr>
+<tr class="separator:a35cb78b1c79de2b31dbed7b8390fa9aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2, int R, int C&gt;<br />
+class stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;</h3>
+
+<p>Template specialization for matrix view of array y with scalar type T2 with shape equal to x. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>scalar type of input vector of matrices </td></tr>
+    <tr><td class="paramname">T2</td><td>scalar type of matrix view </td></tr>
+    <tr><td class="paramname">R</td><td>rows of input matrix and view </td></tr>
+    <tr><td class="paramname">C</td><td>columns of input matrix and view </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2meta_2container__view_8hpp_source.html#l00091">91</a> of file <a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a9e85ebcc143d65666cc17117257e67ce"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;::<a class="el" href="classstan_1_1math_1_1container__view.html">container_view</a> </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T2 *&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Constructor assumes all matrix elements in std::vector are of same dimension. </p>
+<p>Initializes y_view as 1x1 matrix because no nullary constructor for Eigen::Map</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input matrix </td></tr>
+    <tr><td class="paramname">y</td><td>underlying array </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2meta_2container__view_8hpp_source.html#l00104">104</a> of file <a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a35cb78b1c79de2b31dbed7b8390fa9aa"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Map&lt;Eigen::Matrix&lt;T2, R, C&gt; &gt;&amp; <a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>operator[](int i) returns matrix view of scalartype T2 at appropriate index i in array y </p>
+
+<p>Definition at line <a class="el" href="mat_2meta_2container__view_8hpp_source.html#l00119">119</a> of file <a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2container__view_8hpp_source.html">container_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html#a35cb78b1c79de2b31dbed7b8390fa9aa">operator[]</a>(int i)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<title>Stan Math Library: Member List</title>
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+<script type="text/javascript" src="jquery.js"></script>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::container_view&lt; std::vector&lt; T1 &gt;, T2 &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html">stan::math::container_view&lt; std::vector&lt; T1 &gt;, T2 &gt;</a>, including all inherited members.</p>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div id="titlearea">
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+ <tbody>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::container_view&lt; std::vector&lt; T1 &gt;, T2 &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template specialization for scalar view of array y with scalar type T2 with proper indexing inferred from input vector x of scalar type T1.  
+ <a href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="arr_2meta_2container__view_8hpp_source.html">container_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ae8c8f2d62c4841ca458580c2af67505f"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#ae8c8f2d62c4841ca458580c2af67505f">container_view</a> (const std::vector&lt; T1 &gt; &amp;x, T2 *y)</td></tr>
+<tr class="memdesc:ae8c8f2d62c4841ca458580c2af67505f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor.  <a href="#ae8c8f2d62c4841ca458580c2af67505f">More...</a><br /></td></tr>
+<tr class="separator:ae8c8f2d62c4841ca458580c2af67505f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4216d34813cec95c003ba84396fa104d"><td class="memItemLeft" align="right" valign="top">T2 &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#a4216d34813cec95c003ba84396fa104d">operator[]</a> (int i)</td></tr>
+<tr class="memdesc:a4216d34813cec95c003ba84396fa104d"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#a4216d34813cec95c003ba84396fa104d" title="operator[](int i) returns reference to scalar view indexed at i ">operator[](int i)</a> returns reference to scalar view indexed at i  <a href="#a4216d34813cec95c003ba84396fa104d">More...</a><br /></td></tr>
+<tr class="separator:a4216d34813cec95c003ba84396fa104d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2&gt;<br />
+class stan::math::container_view&lt; std::vector&lt; T1 &gt;, T2 &gt;</h3>
+
+<p>Template specialization for scalar view of array y with scalar type T2 with proper indexing inferred from input vector x of scalar type T1. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>scalar type of input vector </td></tr>
+    <tr><td class="paramname">T2</td><td>scalar type returned by view. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="arr_2meta_2container__view_8hpp_source.html#l00020">20</a> of file <a class="el" href="arr_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ae8c8f2d62c4841ca458580c2af67505f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; std::vector&lt; T1 &gt;, T2 &gt;::<a class="el" href="classstan_1_1math_1_1container__view.html">container_view</a> </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T2 *&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Constructor. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input vector </td></tr>
+    <tr><td class="paramname">y</td><td>underlying array </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="arr_2meta_2container__view_8hpp_source.html#l00028">28</a> of file <a class="el" href="arr_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a4216d34813cec95c003ba84396fa104d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T2&amp; <a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a>&lt; std::vector&lt; T1 &gt;, T2 &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#a4216d34813cec95c003ba84396fa104d" title="operator[](int i) returns reference to scalar view indexed at i ">operator[](int i)</a> returns reference to scalar view indexed at i </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">i</td><td>index of scalar element </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="arr_2meta_2container__view_8hpp_source.html#l00037">37</a> of file <a class="el" href="arr_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/arr/meta/<a class="el" href="arr_2meta_2container__view_8hpp_source.html">container_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4-members.html b/doc/api/html/classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4-members.html
new file mode 100644
index 00000000000..8a5c66eb525
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@@ -0,0 +1,128 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">coupled_ode_system&lt; F, double, double &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::coupled_ode_system&lt; F, double, double &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a40185af10295bf1b41f2e1361ce1df2f">coupled_ode_system</a>(const F &amp;f, const std::vector&lt; double &gt; &amp;y0, const std::vector&lt; double &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a4fa261df6b9bba8fa617000f661ab330">decouple_states</a>(const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6d34cf58dd65908c274346f9faffa1c9">f_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ed6425673c2af35796dcb8ec69b78a2">initial_state</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab206f6625b21a054d90fa17e07b54c0e">M_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a9d0ef30c3aeabb040639ffd88416c029">msgs_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a0d185dcf6b1320ee8d2623c9769b9be2">N_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a210cec0472790c60d5956c8266359e9e">operator()</a>(const std::vector&lt; double &gt; &amp;y, std::vector&lt; double &gt; &amp;dy_dt, double t)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a14cbf2d4763907cc2eb21b0465b793c4">size</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#afd3671c1829990365904ed3d60d9d82d">size_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ea7d3c67d117c7a1c261fd1c4bb624a">theta_dbl_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab317a711e2954c234d5b9ad990acc65d">x_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a97205cf51b0d9ef15c2698a93b44ec52">x_int_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a05858eac16fa32b40205ee4531fdd159">y0_dbl_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<title>Stan Math Library: stan::math::coupled_ode_system&lt; F, double, double &gt; Class Template Reference</title>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html">coupled_ode_system&lt; F, double, double &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-attribs">Public Attributes</a> &#124;
+<a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::coupled_ode_system&lt; F, double, double &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>The coupled ode system for known initial values and known parameters.  
+ <a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a40185af10295bf1b41f2e1361ce1df2f"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a40185af10295bf1b41f2e1361ce1df2f">coupled_ode_system</a> (const F &amp;f, const std::vector&lt; double &gt; &amp;y0, const std::vector&lt; double &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td></tr>
+<tr class="memdesc:a40185af10295bf1b41f2e1361ce1df2f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct the coupled ODE system from the base system function, initial state, parameters, data and a stream for messages.  <a href="#a40185af10295bf1b41f2e1361ce1df2f">More...</a><br /></td></tr>
+<tr class="separator:a40185af10295bf1b41f2e1361ce1df2f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a210cec0472790c60d5956c8266359e9e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a210cec0472790c60d5956c8266359e9e">operator()</a> (const std::vector&lt; double &gt; &amp;y, std::vector&lt; double &gt; &amp;dy_dt, double t)</td></tr>
+<tr class="memdesc:a210cec0472790c60d5956c8266359e9e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the derivative of the coupled ode system with respect to the specified state at the specified time using the system state function.  <a href="#a210cec0472790c60d5956c8266359e9e">More...</a><br /></td></tr>
+<tr class="separator:a210cec0472790c60d5956c8266359e9e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14cbf2d4763907cc2eb21b0465b793c4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a14cbf2d4763907cc2eb21b0465b793c4">size</a> () const </td></tr>
+<tr class="memdesc:a14cbf2d4763907cc2eb21b0465b793c4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the size of the coupled system.  <a href="#a14cbf2d4763907cc2eb21b0465b793c4">More...</a><br /></td></tr>
+<tr class="separator:a14cbf2d4763907cc2eb21b0465b793c4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6ed6425673c2af35796dcb8ec69b78a2"><td class="memItemLeft" align="right" valign="top">std::vector&lt; double &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ed6425673c2af35796dcb8ec69b78a2">initial_state</a> ()</td></tr>
+<tr class="memdesc:a6ed6425673c2af35796dcb8ec69b78a2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the initial state of the coupled system, which is identical to the base ODE original state in this implementation because the initial state is known.  <a href="#a6ed6425673c2af35796dcb8ec69b78a2">More...</a><br /></td></tr>
+<tr class="separator:a6ed6425673c2af35796dcb8ec69b78a2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4fa261df6b9bba8fa617000f661ab330"><td class="memItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; double &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a4fa261df6b9bba8fa617000f661ab330">decouple_states</a> (const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</td></tr>
+<tr class="memdesc:a4fa261df6b9bba8fa617000f661ab330"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the base portion of the coupled state.  <a href="#a4fa261df6b9bba8fa617000f661ab330">More...</a><br /></td></tr>
+<tr class="separator:a4fa261df6b9bba8fa617000f661ab330"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:a6d34cf58dd65908c274346f9faffa1c9"><td class="memItemLeft" align="right" valign="top">const F &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6d34cf58dd65908c274346f9faffa1c9">f_</a></td></tr>
+<tr class="separator:a6d34cf58dd65908c274346f9faffa1c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a05858eac16fa32b40205ee4531fdd159"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; double &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a05858eac16fa32b40205ee4531fdd159">y0_dbl_</a></td></tr>
+<tr class="separator:a05858eac16fa32b40205ee4531fdd159"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6ea7d3c67d117c7a1c261fd1c4bb624a"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; double &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ea7d3c67d117c7a1c261fd1c4bb624a">theta_dbl_</a></td></tr>
+<tr class="separator:a6ea7d3c67d117c7a1c261fd1c4bb624a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab317a711e2954c234d5b9ad990acc65d"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; double &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab317a711e2954c234d5b9ad990acc65d">x_</a></td></tr>
+<tr class="separator:ab317a711e2954c234d5b9ad990acc65d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a97205cf51b0d9ef15c2698a93b44ec52"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; int &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a97205cf51b0d9ef15c2698a93b44ec52">x_int_</a></td></tr>
+<tr class="separator:a97205cf51b0d9ef15c2698a93b44ec52"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0d185dcf6b1320ee8d2623c9769b9be2"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a0d185dcf6b1320ee8d2623c9769b9be2">N_</a></td></tr>
+<tr class="separator:a0d185dcf6b1320ee8d2623c9769b9be2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab206f6625b21a054d90fa17e07b54c0e"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab206f6625b21a054d90fa17e07b54c0e">M_</a></td></tr>
+<tr class="separator:ab206f6625b21a054d90fa17e07b54c0e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afd3671c1829990365904ed3d60d9d82d"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#afd3671c1829990365904ed3d60d9d82d">size_</a></td></tr>
+<tr class="separator:afd3671c1829990365904ed3d60d9d82d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9d0ef30c3aeabb040639ffd88416c029"><td class="memItemLeft" align="right" valign="top">std::ostream *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a9d0ef30c3aeabb040639ffd88416c029">msgs_</a></td></tr>
+<tr class="separator:a9d0ef30c3aeabb040639ffd88416c029"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F&gt;<br />
+class stan::math::coupled_ode_system&lt; F, double, double &gt;</h3>
+
+<p>The coupled ode system for known initial values and known parameters. </p>
+<p>This coupled system does not add anything to the base system used to construct it, but is here for generality of the integration implementation.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>type of system function for the base ODE system. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00039">39</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a40185af10295bf1b41f2e1361ce1df2f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::<a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">coupled_ode_system</a> </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x_int</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>msgs</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct the coupled ODE system from the base system function, initial state, parameters, data and a stream for messages. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>base ode system functor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y0</td><td>initial state of the base ode. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>parameters of the base ode. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>real data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x_int</td><td>integer data. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">msgs</td><td>print stream. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00063">63</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a4fa261df6b9bba8fa617000f661ab330"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;std::vector&lt;double&gt; &gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::decouple_states </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the base portion of the coupled state. </p>
+<p>In this class's implementation, the coupled system is equivalent to the base system, so this function just returns its input.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>the vector of the coupled states after solving the ode </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>the decoupled states </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00143">143</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6ed6425673c2af35796dcb8ec69b78a2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;double&gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::initial_state </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the initial state of the coupled system, which is identical to the base ODE original state in this implementation because the initial state is known. </p>
+<p>The return value is a vector of length <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a14cbf2d4763907cc2eb21b0465b793c4" title="Returns the size of the coupled system. ">size()</a> where the first N (base ode system size) parameters are the initial conditions of the base ode system and the rest of the initial conditions is 0.</p>
+<dl class="section return"><dt>Returns</dt><dd>initial state of the coupled system </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00125">125</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a210cec0472790c60d5956c8266359e9e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::operator() </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>dy_dt</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>t</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Calculates the derivative of the coupled ode system with respect to the specified state at the specified time using the system state function. </p>
+<p>The derivative vector created is the same length as the length as the state vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">y</td><td>current state of the coupled ode. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">dy_dt</td><td>populated with derivatives of the coupled system evaluated at specified state and time. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">t</td><td>time. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">exception</td><td>if the system function does not return a derivative vector of the same size as the state vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00095">95</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a14cbf2d4763907cc2eb21b0465b793c4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the size of the coupled system. </p>
+<dl class="section return"><dt>Returns</dt><dd>size of the coupled system. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00109">109</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a6d34cf58dd65908c274346f9faffa1c9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const F&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::f_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00041">41</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab206f6625b21a054d90fa17e07b54c0e"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::M_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00047">47</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9d0ef30c3aeabb040639ffd88416c029"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::ostream* <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::msgs_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00049">49</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0d185dcf6b1320ee8d2623c9769b9be2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::N_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00046">46</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd3671c1829990365904ed3d60d9d82d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::size_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00048">48</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6ea7d3c67d117c7a1c261fd1c4bb624a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;double&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::theta_dbl_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00043">43</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab317a711e2954c234d5b9ad990acc65d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;double&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::x_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00044">44</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a97205cf51b0d9ef15c2698a93b44ec52"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;int&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::x_int_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00045">45</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a05858eac16fa32b40205ee4531fdd159"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;double&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, double &gt;::y0_dbl_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00042">42</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/arr/functor/<a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1cvodes__ode__data-members.html b/doc/api/html/classstan_1_1math_1_1cvodes__ode__data-members.html
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Member List</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+  </div>
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">cvodes_ode_data</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#ab3a92c309f8f91436e8019a95d944a16">cvodes_ode_data</a>(const F &amp;f, const std::vector&lt; T_initial &gt; &amp;y0, const std::vector&lt; T_param &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#a77214fd101bc1df4044a706a9f79c4e9">dense_jacobian</a>(long int N, realtype t, N_Vector y, N_Vector fy, DlsMat J, void *user_data, N_Vector tmp1, N_Vector tmp2, N_Vector tmp3)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#af3c1bc1a011996a539a4ee0f21fd771d">ode_rhs</a>(double t, N_Vector y, N_Vector ydot, void *user_data)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#a047195a59d7514745fdec2bf7a18cff6">ode_rhs_sens</a>(int Ns, realtype t, N_Vector y, N_Vector ydot, N_Vector *yS, N_Vector *ySdot, void *user_data, N_Vector tmp1, N_Vector tmp2)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1cvodes__ode__data.html b/doc/api/html/classstan_1_1math_1_1cvodes__ode__data.html
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+<title>Stan Math Library: stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt; Class Template Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">cvodes_ode_data</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1cvodes__ode__data-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>CVODES ode data holder object which is used during CVODES integration for CVODES callbacks.  
+ <a href="classstan_1_1math_1_1cvodes__ode__data.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="cvodes__ode__data_8hpp_source.html">cvodes_ode_data.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ab3a92c309f8f91436e8019a95d944a16"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#ab3a92c309f8f91436e8019a95d944a16">cvodes_ode_data</a> (const F &amp;f, const std::vector&lt; T_initial &gt; &amp;y0, const std::vector&lt; T_param &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td></tr>
+<tr class="memdesc:ab3a92c309f8f91436e8019a95d944a16"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct CVODES ode data object to enable callbacks from CVODES during ODE integration.  <a href="#ab3a92c309f8f91436e8019a95d944a16">More...</a><br /></td></tr>
+<tr class="separator:ab3a92c309f8f91436e8019a95d944a16"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:af3c1bc1a011996a539a4ee0f21fd771d"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#af3c1bc1a011996a539a4ee0f21fd771d">ode_rhs</a> (double t, N_Vector y, N_Vector ydot, void *user_data)</td></tr>
+<tr class="separator:af3c1bc1a011996a539a4ee0f21fd771d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a047195a59d7514745fdec2bf7a18cff6"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#a047195a59d7514745fdec2bf7a18cff6">ode_rhs_sens</a> (int Ns, realtype t, N_Vector y, N_Vector ydot, N_Vector *yS, N_Vector *ySdot, void *user_data, N_Vector tmp1, N_Vector tmp2)</td></tr>
+<tr class="separator:a047195a59d7514745fdec2bf7a18cff6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a77214fd101bc1df4044a706a9f79c4e9"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#a77214fd101bc1df4044a706a9f79c4e9">dense_jacobian</a> (long int N, realtype t, N_Vector y, N_Vector fy, DlsMat J, void *user_data, N_Vector tmp1, N_Vector tmp2, N_Vector tmp3)</td></tr>
+<tr class="separator:a77214fd101bc1df4044a706a9f79c4e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F, typename T_initial, typename T_param&gt;<br />
+class stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</h3>
+
+<p>CVODES ode data holder object which is used during CVODES integration for CVODES callbacks. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>type of functor for the base ode system. </td></tr>
+    <tr><td class="paramname">T_initial</td><td>type of initial values </td></tr>
+    <tr><td class="paramname">T_param</td><td>type of parameters </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="cvodes__ode__data_8hpp_source.html#l00027">27</a> of file <a class="el" href="cvodes__ode__data_8hpp_source.html">cvodes_ode_data.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ab3a92c309f8f91436e8019a95d944a16"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T_initial , typename T_param &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data</a>&lt; F, T_initial, T_param &gt;::<a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">cvodes_ode_data</a> </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T_initial &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T_param &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x_int</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>msgs</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct CVODES ode data object to enable callbacks from CVODES during ODE integration. </p>
+<p>Static callbacks are defined for the ODE RHS (<code>ode_rhs</code>), the ODE sensitivity RHS (<code>ode_rhs_sens</code>) and for the ODE Jacobian wrt to the states (<code>dense_jacobian</code>).</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>ode functor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y0</td><td>initial state of the base ode. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>parameters of the base ode. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>continuous data vector for the ODE. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x_int</td><td>integer data vector for the ODE. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">msgs</td><td>stream to which messages are printed. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="cvodes__ode__data_8hpp_source.html#l00053">53</a> of file <a class="el" href="cvodes__ode__data_8hpp_source.html">cvodes_ode_data.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a77214fd101bc1df4044a706a9f79c4e9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T_initial , typename T_param &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static int <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data</a>&lt; F, T_initial, T_param &gt;::dense_jacobian </td>
+          <td>(</td>
+          <td class="paramtype">long int&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">realtype&#160;</td>
+          <td class="paramname"><em>t</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector&#160;</td>
+          <td class="paramname"><em>fy</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">DlsMat&#160;</td>
+          <td class="paramname"><em>J</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"><em>user_data</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector&#160;</td>
+          <td class="paramname"><em>tmp1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector&#160;</td>
+          <td class="paramname"><em>tmp2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector&#160;</td>
+          <td class="paramname"><em>tmp3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cvodes__ode__data_8hpp_source.html#l00085">85</a> of file <a class="el" href="cvodes__ode__data_8hpp_source.html">cvodes_ode_data.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af3c1bc1a011996a539a4ee0f21fd771d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T_initial , typename T_param &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static int <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data</a>&lt; F, T_initial, T_param &gt;::ode_rhs </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>t</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector&#160;</td>
+          <td class="paramname"><em>ydot</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"><em>user_data</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cvodes__ode__data_8hpp_source.html#l00066">66</a> of file <a class="el" href="cvodes__ode__data_8hpp_source.html">cvodes_ode_data.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a047195a59d7514745fdec2bf7a18cff6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T_initial , typename T_param &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static int <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data</a>&lt; F, T_initial, T_param &gt;::ode_rhs_sens </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>Ns</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">realtype&#160;</td>
+          <td class="paramname"><em>t</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector&#160;</td>
+          <td class="paramname"><em>ydot</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector *&#160;</td>
+          <td class="paramname"><em>yS</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector *&#160;</td>
+          <td class="paramname"><em>ySdot</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"><em>user_data</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector&#160;</td>
+          <td class="paramname"><em>tmp1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector&#160;</td>
+          <td class="paramname"><em>tmp2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cvodes__ode__data_8hpp_source.html#l00073">73</a> of file <a class="el" href="cvodes__ode__data_8hpp_source.html">cvodes_ode_data.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/mat/functor/<a class="el" href="cvodes__ode__data_8hpp_source.html">cvodes_ode_data.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">stan::math::gevv_vvv_vari Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a8c77333a2a3a85359e417d33291a8b19">alpha_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#aa0e048f3021fa5bd5b4e20152ab0c77d">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a674d2c68ca4a0bfce7d38c644e430d7a">dotval_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a9baad1e3c1fe91eabc1cdb68982426df">eval_gevv</a>(const stan::math::var *alpha, const stan::math::var *v1, int stride1, const stan::math::var *v2, int stride2, size_t length, double *dotprod)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">protected</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#af573bcde4dada4aa9bc27fd9dfcff9c9">gevv_vvv_vari</a>(const stan::math::var *alpha, const stan::math::var *v1, int stride1, const stan::math::var *v2, int stride2, size_t length)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a3162ad4ae0b41adf5d342af16e51bad2">length_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a1b8223780565cab9a3d95dd0bb199b90">v1_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a3cfca671d85ffed899debb9730235dbd">v2_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a1d061a4dc39e882750c673965e0d7be5">~gevv_vvv_vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
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+<a href="#pub-methods">Public Member Functions</a> &#124;
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+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1gevv__vvv__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::gevv_vvv_vari Class Reference</div>  </div>
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+<p><code>#include &lt;<a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::gevv_vvv_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1gevv__vvv__vari.png" usemap="#stan::math::gevv_vvv_vari_map" alt=""/>
+  <map id="stan::math::gevv_vvv_vari_map" name="stan::math::gevv_vvv_vari_map">
+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,158,24"/>
+</map>
+ </div></div>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:af573bcde4dada4aa9bc27fd9dfcff9c9"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#af573bcde4dada4aa9bc27fd9dfcff9c9">gevv_vvv_vari</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *alpha, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *v1, int stride1, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *v2, int stride2, size_t <a class="el" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>)</td></tr>
+<tr class="separator:af573bcde4dada4aa9bc27fd9dfcff9c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1d061a4dc39e882750c673965e0d7be5"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a1d061a4dc39e882750c673965e0d7be5">~gevv_vvv_vari</a> ()</td></tr>
+<tr class="separator:a1d061a4dc39e882750c673965e0d7be5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa0e048f3021fa5bd5b4e20152ab0c77d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#aa0e048f3021fa5bd5b4e20152ab0c77d">chain</a> ()</td></tr>
+<tr class="memdesc:aa0e048f3021fa5bd5b4e20152ab0c77d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#aa0e048f3021fa5bd5b4e20152ab0c77d">More...</a><br /></td></tr>
+<tr class="separator:aa0e048f3021fa5bd5b4e20152ab0c77d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a> (const double x, bool stacked)</td></tr>
+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a> ()</td></tr>
+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a> ()</td></tr>
+<tr class="memdesc:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the adjoint for this (dependent) variable to 1.  <a href="#a5f18458dab300f020b4546d046fa0183">More...</a><br /></td></tr>
+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a> ()</td></tr>
+<tr class="memdesc:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the adjoint value of this variable to 0.  <a href="#ab12bfdea5530029d862bdfa2ae9ead3d">More...</a><br /></td></tr>
+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-static-methods"></a>
+Static Protected Member Functions</h2></td></tr>
+<tr class="memitem:a9baad1e3c1fe91eabc1cdb68982426df"><td class="memItemLeft" align="right" valign="top">static double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a9baad1e3c1fe91eabc1cdb68982426df">eval_gevv</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *alpha, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *v1, int stride1, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *v2, int stride2, size_t <a class="el" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>, double *dotprod)</td></tr>
+<tr class="separator:a9baad1e3c1fe91eabc1cdb68982426df"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:a8c77333a2a3a85359e417d33291a8b19"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a8c77333a2a3a85359e417d33291a8b19">alpha_</a></td></tr>
+<tr class="separator:a8c77333a2a3a85359e417d33291a8b19"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1b8223780565cab9a3d95dd0bb199b90"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a> **&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a1b8223780565cab9a3d95dd0bb199b90">v1_</a></td></tr>
+<tr class="separator:a1b8223780565cab9a3d95dd0bb199b90"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3cfca671d85ffed899debb9730235dbd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a> **&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a3cfca671d85ffed899debb9730235dbd">v2_</a></td></tr>
+<tr class="separator:a3cfca671d85ffed899debb9730235dbd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a674d2c68ca4a0bfce7d38c644e430d7a"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a674d2c68ca4a0bfce7d38c644e430d7a">dotval_</a></td></tr>
+<tr class="separator:a674d2c68ca4a0bfce7d38c644e430d7a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3162ad4ae0b41adf5d342af16e51bad2"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a3162ad4ae0b41adf5d342af16e51bad2">length_</a></td></tr>
+<tr class="separator:a3162ad4ae0b41adf5d342af16e51bad2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
+Additional Inherited Members</h2></td></tr>
+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a> (size_t nbytes)</td></tr>
+<tr class="memdesc:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate memory from the underlying memory pool.  <a href="#a16101f22e0c7c0fb2aaa7bb79e83f260">More...</a><br /></td></tr>
+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a> (void *)</td></tr>
+<tr class="memdesc:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a pointer from the underlying memory pool.  <a href="#ad061c3e1e9172753fa54d57a9718b10c">More...</a><br /></td></tr>
+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_attribs_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_attribs_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Attributes inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td></tr>
+<tr class="memdesc:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of this variable.  <a href="#a5c8a37e50654a282308ddde46e68ede6">More...</a><br /></td></tr>
+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td></tr>
+<tr class="memdesc:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable.  <a href="#a53f635dd2454bc46335f3ad5bd172623">More...</a><br /></td></tr>
+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="gevv__vvv__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="af573bcde4dada4aa9bc27fd9dfcff9c9"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::gevv_vvv_vari::gevv_vvv_vari </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>stride1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *&#160;</td>
+          <td class="paramname"><em>v2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>stride2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>length</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gevv__vvv__vari_8hpp_source.html#l00030">30</a> of file <a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1d061a4dc39e882750c673965e0d7be5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">virtual stan::math::gevv_vvv_vari::~gevv_vvv_vari </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">virtual</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gevv__vvv__vari_8hpp_source.html#l00046">46</a> of file <a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="aa0e048f3021fa5bd5b4e20152ab0c77d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::gevv_vvv_vari::chain </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">virtual</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Apply the chain rule to this variable based on the variables on which it depends. </p>
+<p>The base implementation in this class is a no-op. </p>
+
+<p>Reimplemented from <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">stan::math::vari</a>.</p>
+
+<p>Definition at line <a class="el" href="gevv__vvv__vari_8hpp_source.html#l00047">47</a> of file <a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9baad1e3c1fe91eabc1cdb68982426df"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static double stan::math::gevv_vvv_vari::eval_gevv </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>stride1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> *&#160;</td>
+          <td class="paramname"><em>v2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>stride2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>length</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double *&#160;</td>
+          <td class="paramname"><em>dotprod</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gevv__vvv__vari_8hpp_source.html#l00018">18</a> of file <a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a8c77333a2a3a85359e417d33291a8b19"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a>* stan::math::gevv_vvv_vari::alpha_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gevv__vvv__vari_8hpp_source.html#l00013">13</a> of file <a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a674d2c68ca4a0bfce7d38c644e430d7a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::gevv_vvv_vari::dotval_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gevv__vvv__vari_8hpp_source.html#l00016">16</a> of file <a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3162ad4ae0b41adf5d342af16e51bad2"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::math::gevv_vvv_vari::length_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gevv__vvv__vari_8hpp_source.html#l00017">17</a> of file <a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1b8223780565cab9a3d95dd0bb199b90"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a>** stan::math::gevv_vvv_vari::v1_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gevv__vvv__vari_8hpp_source.html#l00014">14</a> of file <a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3cfca671d85ffed899debb9730235dbd"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a>** stan::math::gevv_vvv_vari::v2_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gevv__vvv__vari_8hpp_source.html#l00015">15</a> of file <a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="gevv__vvv__vari_8hpp_source.html">gevv_vvv_vari.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+<div class="title">stan::math::ode_system&lt; F &gt; Member List</div>  </div>
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+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1ode__system.html">stan::math::ode_system&lt; F &gt;</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1ode__system.html#a449c35dbebd10583051e37e59aa130e4">jacobian</a>(const double t, const std::vector&lt; double &gt; &amp;y, Eigen::MatrixBase&lt; Derived1 &gt; &amp;dy_dt, Eigen::MatrixBase&lt; Derived2 &gt; &amp;Jy) const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1ode__system.html">stan::math::ode_system&lt; F &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1ode__system.html#ab4a9a116bbb0419d22ddc856f0c9061b">jacobian</a>(const double t, const std::vector&lt; double &gt; &amp;y, Eigen::MatrixBase&lt; Derived1 &gt; &amp;dy_dt, Eigen::MatrixBase&lt; Derived2 &gt; &amp;Jy, Eigen::MatrixBase&lt; Derived2 &gt; &amp;Jtheta) const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1ode__system.html">stan::math::ode_system&lt; F &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1ode__system.html#ae42b354ccbb7a22d64d81e834e6f2701">ode_system</a>(const F &amp;f, const std::vector&lt; double &gt; theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1ode__system.html">stan::math::ode_system&lt; F &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1ode__system.html#a4ed68f6ec3399a46f873a08f93025f00">operator()</a>(const double t, const std::vector&lt; double &gt; &amp;y, std::vector&lt; double &gt; &amp;dy_dt) const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1ode__system.html">stan::math::ode_system&lt; F &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+   &#160;<span id="projectnumber">2.10.0</span>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1ode__system-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::ode_system&lt; F &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Internal representation of an ODE model object which provides convenient Jacobian functions to obtain gradients wrt to states and parameters.  
+ <a href="classstan_1_1math_1_1ode__system.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="ode__system_8hpp_source.html">ode_system.hpp</a>&gt;</code></p>
+<table class="memberdecls">
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+<tr class="memitem:ae42b354ccbb7a22d64d81e834e6f2701"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1ode__system.html#ae42b354ccbb7a22d64d81e834e6f2701">ode_system</a> (const F &amp;f, const std::vector&lt; double &gt; theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td></tr>
+<tr class="memdesc:ae42b354ccbb7a22d64d81e834e6f2701"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct an ODE model with the specified base ODE system, parameters, data, and a message stream.  <a href="#ae42b354ccbb7a22d64d81e834e6f2701">More...</a><br /></td></tr>
+<tr class="separator:ae42b354ccbb7a22d64d81e834e6f2701"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4ed68f6ec3399a46f873a08f93025f00"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1ode__system.html#a4ed68f6ec3399a46f873a08f93025f00">operator()</a> (const double t, const std::vector&lt; double &gt; &amp;y, std::vector&lt; double &gt; &amp;dy_dt) const </td></tr>
+<tr class="memdesc:a4ed68f6ec3399a46f873a08f93025f00"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the RHS of the ODE.  <a href="#a4ed68f6ec3399a46f873a08f93025f00">More...</a><br /></td></tr>
+<tr class="separator:a4ed68f6ec3399a46f873a08f93025f00"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a449c35dbebd10583051e37e59aa130e4"><td class="memTemplParams" colspan="2">template&lt;typename Derived1 , typename Derived2 &gt; </td></tr>
+<tr class="memitem:a449c35dbebd10583051e37e59aa130e4"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1ode__system.html#a449c35dbebd10583051e37e59aa130e4">jacobian</a> (const double t, const std::vector&lt; double &gt; &amp;y, Eigen::MatrixBase&lt; Derived1 &gt; &amp;dy_dt, Eigen::MatrixBase&lt; Derived2 &gt; &amp;Jy) const </td></tr>
+<tr class="memdesc:a449c35dbebd10583051e37e59aa130e4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the Jacobian of the ODE RHS wrt to states y.  <a href="#a449c35dbebd10583051e37e59aa130e4">More...</a><br /></td></tr>
+<tr class="separator:a449c35dbebd10583051e37e59aa130e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab4a9a116bbb0419d22ddc856f0c9061b"><td class="memTemplParams" colspan="2">template&lt;typename Derived1 , typename Derived2 &gt; </td></tr>
+<tr class="memitem:ab4a9a116bbb0419d22ddc856f0c9061b"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1ode__system.html#ab4a9a116bbb0419d22ddc856f0c9061b">jacobian</a> (const double t, const std::vector&lt; double &gt; &amp;y, Eigen::MatrixBase&lt; Derived1 &gt; &amp;dy_dt, Eigen::MatrixBase&lt; Derived2 &gt; &amp;Jy, Eigen::MatrixBase&lt; Derived2 &gt; &amp;Jtheta) const </td></tr>
+<tr class="memdesc:ab4a9a116bbb0419d22ddc856f0c9061b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the Jacobian of the ODE RHS wrt to states y and parameters theta.  <a href="#ab4a9a116bbb0419d22ddc856f0c9061b">More...</a><br /></td></tr>
+<tr class="separator:ab4a9a116bbb0419d22ddc856f0c9061b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F&gt;<br />
+class stan::math::ode_system&lt; F &gt;</h3>
+
+<p>Internal representation of an ODE model object which provides convenient Jacobian functions to obtain gradients wrt to states and parameters. </p>
+<p>Can be used to provide analytic Jacobians via partial template specialisation.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>type of functor for the base ode system. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ode__system_8hpp_source.html#l00021">21</a> of file <a class="el" href="ode__system_8hpp_source.html">ode_system.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ae42b354ccbb7a22d64d81e834e6f2701"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1ode__system.html">stan::math::ode_system</a>&lt; F &gt;::<a class="el" href="classstan_1_1math_1_1ode__system.html">ode_system</a> </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x_int</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>msgs</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct an ODE model with the specified base ODE system, parameters, data, and a message stream. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>the base ODE system functor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>parameters of the ode. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>real data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x_int</td><td>integer data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">msgs</td><td>stream to which messages are printed. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ode__system_8hpp_source.html#l00039">39</a> of file <a class="el" href="ode__system_8hpp_source.html">ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a449c35dbebd10583051e37e59aa130e4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F&gt; </div>
+<div class="memtemplate">
+template&lt;typename Derived1 , typename Derived2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="classstan_1_1math_1_1ode__system.html">stan::math::ode_system</a>&lt; F &gt;::jacobian </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>t</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::MatrixBase&lt; Derived1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>dy_dt</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::MatrixBase&lt; Derived2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Jy</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Calculate the Jacobian of the ODE RHS wrt to states y. </p>
+<p>The function expects the output objects to have correct sizes, i.e. dy_dt must be length N and Jy a NxN matrix (N states).</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">t</td><td>time. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y</td><td>state of the ode system at time t. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">dy_dt</td><td>ODE RHS </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">Jy</td><td>Jacobian of ODE RHS wrt to y. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ode__system_8hpp_source.html#l00067">67</a> of file <a class="el" href="ode__system_8hpp_source.html">ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab4a9a116bbb0419d22ddc856f0c9061b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F&gt; </div>
+<div class="memtemplate">
+template&lt;typename Derived1 , typename Derived2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="classstan_1_1math_1_1ode__system.html">stan::math::ode_system</a>&lt; F &gt;::jacobian </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>t</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::MatrixBase&lt; Derived1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>dy_dt</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::MatrixBase&lt; Derived2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Jy</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::MatrixBase&lt; Derived2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Jtheta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Calculate the Jacobian of the ODE RHS wrt to states y and parameters theta. </p>
+<p>The function expects the output objects to have correct sizes, i.e. dy_dt must be length N, Jy a NxN matrix and Jtheta a NxM matrix (N states, M parameters).</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">t</td><td>time. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y</td><td>state of the ode system at time t. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">dy_dt</td><td>ODE RHS </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">Jy</td><td>Jacobian of ODE RHS wrt to y. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">Jtheta</td><td>Jacobian of ODE RHS wrt to theta. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ode__system_8hpp_source.html#l00107">107</a> of file <a class="el" href="ode__system_8hpp_source.html">ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4ed68f6ec3399a46f873a08f93025f00"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="classstan_1_1math_1_1ode__system.html">stan::math::ode_system</a>&lt; F &gt;::operator() </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>t</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>dy_dt</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Calculate the RHS of the ODE. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">t</td><td>time. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y</td><td>state of the ode system at time t. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">dy_dt</td><td>ODE RHS </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ode__system_8hpp_source.html#l00051">51</a> of file <a class="el" href="ode__system_8hpp_source.html">ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/mat/functor/<a class="el" href="ode__system_8hpp_source.html">ode_system.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="dynsections.js"></script>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow1" class="tabs">
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+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
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+    </ul>
+  </div>
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html">op_ddv_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::op_ddv_vari Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1op__ddv__vari.html">stan::math::op_ddv_vari</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#a268d419189be0d83b45cbd023d888d79">ad_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html">stan::math::op_ddv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#ae1d70829103888d1008c8910e4cbff2c">bd_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html">stan::math::op_ddv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#a56c1fc22f4f329cca3da733c6eb0f73a">cvi_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html">stan::math::op_ddv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#ace53db6f0edb4a841be08a8692d1db68">op_ddv_vari</a>(double f, double a, double b, vari *cvi)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html">stan::math::op_ddv_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1op__ddv__vari.html b/doc/api/html/classstan_1_1math_1_1op__ddv__vari.html
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+ </tbody>
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+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html">op_ddv_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__ddv__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_ddv_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="ddv__vari_8hpp_source.html">ddv_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::op_ddv_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1op__ddv__vari.png" usemap="#stan::math::op_ddv_vari_map" alt=""/>
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+</map>
+ </div></div>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ace53db6f0edb4a841be08a8692d1db68"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#ace53db6f0edb4a841be08a8692d1db68">op_ddv_vari</a> (double f, double a, double b, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *cvi)</td></tr>
+<tr class="separator:ace53db6f0edb4a841be08a8692d1db68"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a> ()</td></tr>
+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a> ()</td></tr>
+<tr class="memdesc:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#a49e7e163a7f36e485e86e79d800ba04f">More...</a><br /></td></tr>
+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:a268d419189be0d83b45cbd023d888d79"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#a268d419189be0d83b45cbd023d888d79">ad_</a></td></tr>
+<tr class="separator:a268d419189be0d83b45cbd023d888d79"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae1d70829103888d1008c8910e4cbff2c"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#ae1d70829103888d1008c8910e4cbff2c">bd_</a></td></tr>
+<tr class="separator:ae1d70829103888d1008c8910e4cbff2c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a56c1fc22f4f329cca3da733c6eb0f73a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#a56c1fc22f4f329cca3da733c6eb0f73a">cvi_</a></td></tr>
+<tr class="separator:a56c1fc22f4f329cca3da733c6eb0f73a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
+Additional Inherited Members</h2></td></tr>
+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a> (size_t nbytes)</td></tr>
+<tr class="memdesc:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate memory from the underlying memory pool.  <a href="#a16101f22e0c7c0fb2aaa7bb79e83f260">More...</a><br /></td></tr>
+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a> (void *)</td></tr>
+<tr class="memdesc:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a pointer from the underlying memory pool.  <a href="#ad061c3e1e9172753fa54d57a9718b10c">More...</a><br /></td></tr>
+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_attribs_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_attribs_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Attributes inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td></tr>
+<tr class="memdesc:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of this variable.  <a href="#a5c8a37e50654a282308ddde46e68ede6">More...</a><br /></td></tr>
+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td></tr>
+<tr class="memdesc:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable.  <a href="#a53f635dd2454bc46335f3ad5bd172623">More...</a><br /></td></tr>
+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="ddv__vari_8hpp_source.html#l00009">9</a> of file <a class="el" href="ddv__vari_8hpp_source.html">ddv_vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ace53db6f0edb4a841be08a8692d1db68"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::op_ddv_vari::op_ddv_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>cvi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="ddv__vari_8hpp_source.html#l00015">15</a> of file <a class="el" href="ddv__vari_8hpp_source.html">ddv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a268d419189be0d83b45cbd023d888d79"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::op_ddv_vari::ad_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="ddv__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="ddv__vari_8hpp_source.html">ddv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae1d70829103888d1008c8910e4cbff2c"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::op_ddv_vari::bd_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="ddv__vari_8hpp_source.html#l00012">12</a> of file <a class="el" href="ddv__vari_8hpp_source.html">ddv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a56c1fc22f4f329cca3da733c6eb0f73a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_ddv_vari::cvi_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="ddv__vari_8hpp_source.html#l00013">13</a> of file <a class="el" href="ddv__vari_8hpp_source.html">ddv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="ddv__vari_8hpp_source.html">ddv_vari.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+</div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::op_dv_vari Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1op__dv__vari.html">stan::math::op_dv_vari</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__dv__vari.html#a30f5589cb9d3e0ee8a0219316531daee">ad_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__dv__vari.html">stan::math::op_dv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__dv__vari.html#a323e4ee6a54cf1beeb8427c1e1b2e844">op_dv_vari</a>(double f, double a, vari *bvi)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__dv__vari.html">stan::math::op_dv_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
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+</table></div><!-- contents -->
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+<div class="conents" style="font-size:80%;">
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diff --git a/doc/api/html/classstan_1_1math_1_1op__dv__vari.html b/doc/api/html/classstan_1_1math_1_1op__dv__vari.html
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+        name="MSearchResults" id="MSearchResults">
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__dv__vari.html">op_dv_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
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+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__dv__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_dv_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="dv__vari_8hpp_source.html">dv_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::op_dv_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1op__dv__vari.png" usemap="#stan::math::op_dv_vari_map" alt=""/>
+  <map id="stan::math::op_dv_vari_map" name="stan::math::op_dv_vari_map">
+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,137,24"/>
+</map>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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+<tr class="memitem:a323e4ee6a54cf1beeb8427c1e1b2e844"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__dv__vari.html#a323e4ee6a54cf1beeb8427c1e1b2e844">op_dv_vari</a> (double f, double a, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *bvi)</td></tr>
+<tr class="separator:a323e4ee6a54cf1beeb8427c1e1b2e844"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a> (const double x, bool stacked)</td></tr>
+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a> ()</td></tr>
+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a> ()</td></tr>
+<tr class="memdesc:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#a49e7e163a7f36e485e86e79d800ba04f">More...</a><br /></td></tr>
+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the adjoint for this (dependent) variable to 1.  <a href="#a5f18458dab300f020b4546d046fa0183">More...</a><br /></td></tr>
+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memitem">
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+        <tr>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="dv__vari_8hpp_source.html#l00014">14</a> of file <a class="el" href="dv__vari_8hpp_source.html">dv_vari.hpp</a>.</p>
+
+</div>
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+<h2 class="groupheader">Member Data Documentation</h2>
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+          <td class="memname">double stan::math::op_dv_vari::ad_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
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+<p>Definition at line <a class="el" href="dv__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="dv__vari_8hpp_source.html">dv_vari.hpp</a>.</p>
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+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_dv_vari::bvi_</td>
+        </tr>
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+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+<p>Definition at line <a class="el" href="dv__vari_8hpp_source.html#l00012">12</a> of file <a class="el" href="dv__vari_8hpp_source.html">dv_vari.hpp</a>.</p>
+
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1op__dvd__vari.html">stan::math::op_dvd_vari</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__dvd__vari.html">op_dvd_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__dvd__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_dvd_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="dvd__vari_8hpp_source.html">dvd_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::op_dvd_vari:</div>
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+ <div class="center">
+  <img src="classstan_1_1math_1_1op__dvd__vari.png" usemap="#stan::math::op_dvd_vari_map" alt=""/>
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+<tr class="memitem:ac81bd4c694f92f8f6bebc20b02571535"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#ac81bd4c694f92f8f6bebc20b02571535">op_dvd_vari</a> (double f, double a, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *bvi, double c)</td></tr>
+<tr class="separator:ac81bd4c694f92f8f6bebc20b02571535"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the adjoint value of this variable to 0.  <a href="#ab12bfdea5530029d862bdfa2ae9ead3d">More...</a><br /></td></tr>
+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
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+<tr class="memitem:a6f88997d24c47ad9cb0c14cc628f487a"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#a6f88997d24c47ad9cb0c14cc628f487a">ad_</a></td></tr>
+<tr class="separator:a6f88997d24c47ad9cb0c14cc628f487a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a57237dc3d1b1c0288fdbad9793ac63c7"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#a57237dc3d1b1c0288fdbad9793ac63c7">bvi_</a></td></tr>
+<tr class="separator:a57237dc3d1b1c0288fdbad9793ac63c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aafff013835800b2611e582f75a4a87e1"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#aafff013835800b2611e582f75a4a87e1">cd_</a></td></tr>
+<tr class="separator:aafff013835800b2611e582f75a4a87e1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
+Additional Inherited Members</h2></td></tr>
+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
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+<tr class="memdesc:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate memory from the underlying memory pool.  <a href="#a16101f22e0c7c0fb2aaa7bb79e83f260">More...</a><br /></td></tr>
+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_attribs_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_attribs_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Attributes inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td></tr>
+<tr class="memdesc:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of this variable.  <a href="#a5c8a37e50654a282308ddde46e68ede6">More...</a><br /></td></tr>
+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td></tr>
+<tr class="memdesc:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable.  <a href="#a53f635dd2454bc46335f3ad5bd172623">More...</a><br /></td></tr>
+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="dvd__vari_8hpp_source.html#l00009">9</a> of file <a class="el" href="dvd__vari_8hpp_source.html">dvd_vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ac81bd4c694f92f8f6bebc20b02571535"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::op_dvd_vari::op_dvd_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>bvi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="dvd__vari_8hpp_source.html#l00015">15</a> of file <a class="el" href="dvd__vari_8hpp_source.html">dvd_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a6f88997d24c47ad9cb0c14cc628f487a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::op_dvd_vari::ad_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="dvd__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="dvd__vari_8hpp_source.html">dvd_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a57237dc3d1b1c0288fdbad9793ac63c7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
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+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+<p>Definition at line <a class="el" href="dvd__vari_8hpp_source.html#l00012">12</a> of file <a class="el" href="dvd__vari_8hpp_source.html">dvd_vari.hpp</a>.</p>
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
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+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
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+<tr class="memitem:acb47ad05b53b828ecc2dc5d23b2e0d75"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__dvv__vari.html#acb47ad05b53b828ecc2dc5d23b2e0d75">ad_</a></td></tr>
+<tr class="separator:acb47ad05b53b828ecc2dc5d23b2e0d75"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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+<p>Definition at line <a class="el" href="dvv__vari_8hpp_source.html#l00009">9</a> of file <a class="el" href="dvv__vari_8hpp_source.html">dvv_vari.hpp</a>.</p>
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+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
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+      <table class="memname">
+        <tr>
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+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
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+          <td class="paramname"><em>bvi</em>, </td>
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+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>cvi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
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+<p>Definition at line <a class="el" href="dvv__vari_8hpp_source.html#l00015">15</a> of file <a class="el" href="dvv__vari_8hpp_source.html">dvv_vari.hpp</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
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+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::op_dvv_vari::ad_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="dvv__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="dvv__vari_8hpp_source.html">dvv_vari.hpp</a>.</p>
+
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+      <table class="memname">
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+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_dvv_vari::bvi_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="dvv__vari_8hpp_source.html#l00012">12</a> of file <a class="el" href="dvv__vari_8hpp_source.html">dvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aaddf51db2da17712cf73941d9a65c072"></a>
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_dvv_vari::cvi_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="dvv__vari_8hpp_source.html#l00013">13</a> of file <a class="el" href="dvv__vari_8hpp_source.html">dvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="dvv__vari_8hpp_source.html">dvv_vari.hpp</a></li>
+</ul>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html">op_matrix_vari</a></li>  </ul>
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+<div class="title">stan::math::op_matrix_vari Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1op__matrix__vari.html">stan::math::op_matrix_vari</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a38f1c03104b4d76ec79aca62a1d0f66f">op_matrix_vari</a>(double f, const Eigen::Matrix&lt; stan::math::var, R, C &gt; &amp;vs)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html">stan::math::op_matrix_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#aa8857333f18280ecedc008d53cd39315">operator[]</a>(size_t n) const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html">stan::math::op_matrix_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a35e94de2a37b83f8a1866fd57709be4b">size</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html">stan::math::op_matrix_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a89c5c533bea6db8bca39202531f38348">size_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html">stan::math::op_matrix_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a81caaf77e84614aada7a27f0984db8cc">vis_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html">stan::math::op_matrix_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
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+   <div id="projectname">Stan Math Library
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html">op_matrix_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__matrix__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_matrix_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="matrix__vari_8hpp_source.html">matrix_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::op_matrix_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1op__matrix__vari.png" usemap="#stan::math::op_matrix_vari_map" alt=""/>
+  <map id="stan::math::op_matrix_vari_map" name="stan::math::op_matrix_vari_map">
+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,156,24"/>
+</map>
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a38f1c03104b4d76ec79aca62a1d0f66f"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:a38f1c03104b4d76ec79aca62a1d0f66f"><td class="memTemplItemLeft" align="right" valign="top">&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a38f1c03104b4d76ec79aca62a1d0f66f">op_matrix_vari</a> (double f, const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, R, C &gt; &amp;vs)</td></tr>
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+<tr class="separator:aa8857333f18280ecedc008d53cd39315"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a35e94de2a37b83f8a1866fd57709be4b"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a35e94de2a37b83f8a1866fd57709be4b">size</a> ()</td></tr>
+<tr class="separator:a35e94de2a37b83f8a1866fd57709be4b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
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+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#a49e7e163a7f36e485e86e79d800ba04f">More...</a><br /></td></tr>
+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:a89c5c533bea6db8bca39202531f38348"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a89c5c533bea6db8bca39202531f38348">size_</a></td></tr>
+<tr class="separator:a89c5c533bea6db8bca39202531f38348"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a81caaf77e84614aada7a27f0984db8cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
+Additional Inherited Members</h2></td></tr>
+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a> (size_t nbytes)</td></tr>
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+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
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+        <tr>
+          <td class="memname">stan::math::op_matrix_vari::op_matrix_vari </td>
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+        </tr>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="matrix__vari_8hpp_source.html#l00018">18</a> of file <a class="el" href="matrix__vari_8hpp_source.html">matrix_vari.hpp</a>.</p>
+
+</div>
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+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="aa8857333f18280ecedc008d53cd39315"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
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+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_matrix_vari::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td> const</td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="matrix__vari_8hpp_source.html#l00027">27</a> of file <a class="el" href="matrix__vari_8hpp_source.html">matrix_vari.hpp</a>.</p>
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+  <td class="mlabels-left">
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+          <td class="memname">size_t stan::math::op_matrix_vari::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="matrix__vari_8hpp_source.html#l00030">30</a> of file <a class="el" href="matrix__vari_8hpp_source.html">matrix_vari.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a89c5c533bea6db8bca39202531f38348"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t stan::math::op_matrix_vari::size_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="matrix__vari_8hpp_source.html#l00014">14</a> of file <a class="el" href="matrix__vari_8hpp_source.html">matrix_vari.hpp</a>.</p>
+
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+<a class="anchor" id="a81caaf77e84614aada7a27f0984db8cc"></a>
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+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>** stan::math::op_matrix_vari::vis_</td>
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+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+
+<p>Definition at line <a class="el" href="matrix__vari_8hpp_source.html#l00015">15</a> of file <a class="el" href="matrix__vari_8hpp_source.html">matrix_vari.hpp</a>.</p>
+
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+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
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+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::op_v_vari Member List</div>  </div>
+</div><!--header-->
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1op__v__vari.html">stan::math::op_v_vari</a>, including all inherited members.</p>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__v__vari.html">op_v_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__v__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_v_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="v__vari_8hpp_source.html">v_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::op_v_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1op__v__vari.png" usemap="#stan::math::op_v_vari_map" alt=""/>
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+<table class="memberdecls">
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+Public Member Functions</h2></td></tr>
+<tr class="memitem:a9d5d71fd9963d2e5c8bff707127b2380"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__v__vari.html#a9d5d71fd9963d2e5c8bff707127b2380">op_v_vari</a> (double f, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *avi)</td></tr>
+<tr class="separator:a9d5d71fd9963d2e5c8bff707127b2380"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a> ()</td></tr>
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+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a115547abf8f49bc6c524d126ff9965b6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__v__vari.html#a115547abf8f49bc6c524d126ff9965b6">avi_</a></td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a pointer from the underlying memory pool.  <a href="#ad061c3e1e9172753fa54d57a9718b10c">More...</a><br /></td></tr>
+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td></tr>
+<tr class="memdesc:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of this variable.  <a href="#a5c8a37e50654a282308ddde46e68ede6">More...</a><br /></td></tr>
+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td></tr>
+<tr class="memdesc:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable.  <a href="#a53f635dd2454bc46335f3ad5bd172623">More...</a><br /></td></tr>
+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="v__vari_8hpp_source.html#l00009">9</a> of file <a class="el" href="v__vari_8hpp_source.html">v_vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a9d5d71fd9963d2e5c8bff707127b2380"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::op_v_vari::op_v_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>avi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="v__vari_8hpp_source.html#l00013">13</a> of file <a class="el" href="v__vari_8hpp_source.html">v_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a115547abf8f49bc6c524d126ff9965b6"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_v_vari::avi_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="v__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="v__vari_8hpp_source.html">v_vari.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="v__vari_8hpp_source.html">v_vari.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">stan::math::op_vd_vari Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1op__vd__vari.html">stan::math::op_vd_vari</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vd__vari.html#a00e8ccf1cd732f4f2688bc4248fd700f">avi_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vd__vari.html">stan::math::op_vd_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vd__vari.html#ae1eaf8ba4cdb63d1f66c4fc2849788fc">bd_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vd__vari.html">stan::math::op_vd_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vd__vari.html#a013c49536757793f7b912c7f1b046111">op_vd_vari</a>(double f, vari *avi, double b)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vd__vari.html">stan::math::op_vd_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+ </tbody>
+</table>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+</div>
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+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__vd__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_vd_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="vd__vari_8hpp_source.html">vd_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::op_vd_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1op__vd__vari.png" usemap="#stan::math::op_vd_vari_map" alt=""/>
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+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,137,24"/>
+</map>
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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+<tr class="memitem:a013c49536757793f7b912c7f1b046111"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vd__vari.html#a013c49536757793f7b912c7f1b046111">op_vd_vari</a> (double f, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *avi, double b)</td></tr>
+<tr class="separator:a013c49536757793f7b912c7f1b046111"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a> ()</td></tr>
+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#a49e7e163a7f36e485e86e79d800ba04f">More...</a><br /></td></tr>
+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:a00e8ccf1cd732f4f2688bc4248fd700f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vd__vari.html#a00e8ccf1cd732f4f2688bc4248fd700f">avi_</a></td></tr>
+<tr class="separator:a00e8ccf1cd732f4f2688bc4248fd700f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae1eaf8ba4cdb63d1f66c4fc2849788fc"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vd__vari.html#ae1eaf8ba4cdb63d1f66c4fc2849788fc">bd_</a></td></tr>
+<tr class="separator:ae1eaf8ba4cdb63d1f66c4fc2849788fc"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memitem">
+<div class="memproto">
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+        <tr>
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+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>avi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="vd__vari_8hpp_source.html#l00014">14</a> of file <a class="el" href="vd__vari_8hpp_source.html">vd_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a00e8ccf1cd732f4f2688bc4248fd700f"></a>
+<div class="memitem">
+<div class="memproto">
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+      <table class="memname">
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+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_vd_vari::avi_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vd__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="vd__vari_8hpp_source.html">vd_vari.hpp</a>.</p>
+
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+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::op_vd_vari::bd_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="vd__vari_8hpp_source.html#l00012">12</a> of file <a class="el" href="vd__vari_8hpp_source.html">vd_vari.hpp</a>.</p>
+
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::op_vdd_vari Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1op__vdd__vari.html">stan::math::op_vdd_vari</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   &#160;<span id="projectnumber">2.10.0</span>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__vdd__vari.html">op_vdd_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__vdd__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_vdd_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="vdd__vari_8hpp_source.html">vdd_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::op_vdd_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1op__vdd__vari.png" usemap="#stan::math::op_vdd_vari_map" alt=""/>
+  <map id="stan::math::op_vdd_vari_map" name="stan::math::op_vdd_vari_map">
+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,144,24"/>
+</map>
+ </div></div>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:abceb88fe7a28682e996e02e92615a9d1"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vdd__vari.html#abceb88fe7a28682e996e02e92615a9d1">op_vdd_vari</a> (double f, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *avi, double b, double c)</td></tr>
+<tr class="separator:abceb88fe7a28682e996e02e92615a9d1"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:a941aebe177838074a9576f3967f0ca42"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vdd__vari.html#a941aebe177838074a9576f3967f0ca42">avi_</a></td></tr>
+<tr class="separator:a941aebe177838074a9576f3967f0ca42"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa5107d1c0d8c46a91eac4d6621b963c7"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vdd__vari.html#aa5107d1c0d8c46a91eac4d6621b963c7">bd_</a></td></tr>
+<tr class="separator:aa5107d1c0d8c46a91eac4d6621b963c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a7acdfdfc206b8c3e9335af73091bb471"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
+Additional Inherited Members</h2></td></tr>
+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a> (size_t nbytes)</td></tr>
+<tr class="memdesc:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate memory from the underlying memory pool.  <a href="#a16101f22e0c7c0fb2aaa7bb79e83f260">More...</a><br /></td></tr>
+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a pointer from the underlying memory pool.  <a href="#ad061c3e1e9172753fa54d57a9718b10c">More...</a><br /></td></tr>
+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_attribs_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_attribs_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Attributes inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td></tr>
+<tr class="memdesc:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of this variable.  <a href="#a5c8a37e50654a282308ddde46e68ede6">More...</a><br /></td></tr>
+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td></tr>
+<tr class="memdesc:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable.  <a href="#a53f635dd2454bc46335f3ad5bd172623">More...</a><br /></td></tr>
+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="vdd__vari_8hpp_source.html#l00009">9</a> of file <a class="el" href="vdd__vari_8hpp_source.html">vdd_vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="abceb88fe7a28682e996e02e92615a9d1"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::op_vdd_vari::op_vdd_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>avi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vdd__vari_8hpp_source.html#l00015">15</a> of file <a class="el" href="vdd__vari_8hpp_source.html">vdd_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a941aebe177838074a9576f3967f0ca42"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_vdd_vari::avi_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vdd__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="vdd__vari_8hpp_source.html">vdd_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa5107d1c0d8c46a91eac4d6621b963c7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::op_vdd_vari::bd_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vdd__vari_8hpp_source.html#l00012">12</a> of file <a class="el" href="vdd__vari_8hpp_source.html">vdd_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7acdfdfc206b8c3e9335af73091bb471"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::op_vdd_vari::cd_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vdd__vari_8hpp_source.html#l00013">13</a> of file <a class="el" href="vdd__vari_8hpp_source.html">vdd_vari.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="vdd__vari_8hpp_source.html">vdd_vari.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::op_vdv_vari Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1op__vdv__vari.html">stan::math::op_vdv_vari</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__vdv__vari.html">op_vdv_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__vdv__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_vdv_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="vdv__vari_8hpp_source.html">vdv_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::op_vdv_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1op__vdv__vari.png" usemap="#stan::math::op_vdv_vari_map" alt=""/>
+  <map id="stan::math::op_vdv_vari_map" name="stan::math::op_vdv_vari_map">
+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,144,24"/>
+</map>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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+<tr class="memitem:a68c779eb803deaffa3b31f69bfc8b329"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vdv__vari.html#a68c779eb803deaffa3b31f69bfc8b329">op_vdv_vari</a> (double f, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *avi, double b, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *cvi)</td></tr>
+<tr class="separator:a68c779eb803deaffa3b31f69bfc8b329"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
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+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a> ()</td></tr>
+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a> ()</td></tr>
+<tr class="memdesc:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#a49e7e163a7f36e485e86e79d800ba04f">More...</a><br /></td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
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+<tr class="memitem:aa954e347c9288c85a11bb4306e6ad35b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vdv__vari.html#aa954e347c9288c85a11bb4306e6ad35b">avi_</a></td></tr>
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+<tr class="separator:a8a8d9b43a909c0246d171d6dc65c8379"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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+<p>Definition at line <a class="el" href="vdv__vari_8hpp_source.html#l00009">9</a> of file <a class="el" href="vdv__vari_8hpp_source.html">vdv_vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
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+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
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+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>avi</em>, </td>
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+          <td></td>
+          <td class="paramtype">double&#160;</td>
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+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>cvi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
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+<p>Definition at line <a class="el" href="vdv__vari_8hpp_source.html#l00015">15</a> of file <a class="el" href="vdv__vari_8hpp_source.html">vdv_vari.hpp</a>.</p>
+
+</div>
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+<h2 class="groupheader">Member Data Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_vdv_vari::avi_</td>
+        </tr>
+      </table>
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+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vdv__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="vdv__vari_8hpp_source.html">vdv_vari.hpp</a>.</p>
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+      <table class="memname">
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+          <td class="memname">double stan::math::op_vdv_vari::bd_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vdv__vari_8hpp_source.html#l00012">12</a> of file <a class="el" href="vdv__vari_8hpp_source.html">vdv_vari.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a7fb6e0e51feb1099d20918fe951f83e9"></a>
+<div class="memitem">
+<div class="memproto">
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+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_vdv_vari::cvi_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="vdv__vari_8hpp_source.html#l00013">13</a> of file <a class="el" href="vdv__vari_8hpp_source.html">vdv_vari.hpp</a>.</p>
+
+</div>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">stan::math::op_vector_vari Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1op__vector__vari.html">stan::math::op_vector_vari</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vector__vari.html#a5e236b4bc3c9f0156532846d31f45c6f">size</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vector__vari.html">stan::math::op_vector_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vector__vari.html#af182cd25bf9c00f21155fd1e1b9bc64b">size_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vector__vari.html">stan::math::op_vector_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vector__vari.html#aa492abe0afa7a4a030bdeed4a8d36f3f">vis_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vector__vari.html">stan::math::op_vector_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__vector__vari.html">op_vector_vari</a></li>  </ul>
+</div>
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+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__vector__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_vector_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="vector__vari_8hpp_source.html">vector_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
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+  <img src="classstan_1_1math_1_1op__vector__vari.png" usemap="#stan::math::op_vector_vari_map" alt=""/>
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+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,159,24"/>
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+<tr class="memitem:ac291df279dc87ae570666da57c96315c"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vector__vari.html#ac291df279dc87ae570666da57c96315c">op_vector_vari</a> (double f, const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;vs)</td></tr>
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+<tr class="separator:ab928e591879ce7be3edfe498b5c9c4e8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5e236b4bc3c9f0156532846d31f45c6f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
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+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:aa492abe0afa7a4a030bdeed4a8d36f3f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
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+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+
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+
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
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+  &nbsp;&nbsp;&nbsp;&nbsp;
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__vv__vari.html">op_vv_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__vv__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_vv_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="vv__vari_8hpp_source.html">vv_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::op_vv_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1op__vv__vari.png" usemap="#stan::math::op_vv_vari_map" alt=""/>
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+</map>
+ </div></div>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a3dcab4ca1dbd8919683d11d13419278e"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vv__vari.html#a3dcab4ca1dbd8919683d11d13419278e">op_vv_vari</a> (double f, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *avi, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *bvi)</td></tr>
+<tr class="separator:a3dcab4ca1dbd8919683d11d13419278e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a> ()</td></tr>
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+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:a9fcd1e5dacb0fbd015b28c4773071b6d"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vv__vari.html#a9fcd1e5dacb0fbd015b28c4773071b6d">avi_</a></td></tr>
+<tr class="separator:a9fcd1e5dacb0fbd015b28c4773071b6d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abe4e66ae889c118cb8ca89fcc6f6e216"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vv__vari.html#abe4e66ae889c118cb8ca89fcc6f6e216">bvi_</a></td></tr>
+<tr class="separator:abe4e66ae889c118cb8ca89fcc6f6e216"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
+Additional Inherited Members</h2></td></tr>
+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a pointer from the underlying memory pool.  <a href="#ad061c3e1e9172753fa54d57a9718b10c">More...</a><br /></td></tr>
+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_attribs_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_attribs_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Attributes inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td></tr>
+<tr class="memdesc:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of this variable.  <a href="#a5c8a37e50654a282308ddde46e68ede6">More...</a><br /></td></tr>
+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td></tr>
+<tr class="memdesc:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable.  <a href="#a53f635dd2454bc46335f3ad5bd172623">More...</a><br /></td></tr>
+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="vv__vari_8hpp_source.html#l00009">9</a> of file <a class="el" href="vv__vari_8hpp_source.html">vv_vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a3dcab4ca1dbd8919683d11d13419278e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::op_vv_vari::op_vv_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>avi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>bvi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vv__vari_8hpp_source.html#l00014">14</a> of file <a class="el" href="vv__vari_8hpp_source.html">vv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a9fcd1e5dacb0fbd015b28c4773071b6d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_vv_vari::avi_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vv__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="vv__vari_8hpp_source.html">vv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abe4e66ae889c118cb8ca89fcc6f6e216"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_vv_vari::bvi_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vv__vari_8hpp_source.html#l00012">12</a> of file <a class="el" href="vv__vari_8hpp_source.html">vv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="vv__vari_8hpp_source.html">vv_vari.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html">op_vvd_vari</a></li>  </ul>
+</div>
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+  <div class="headertitle">
+<div class="title">stan::math::op_vvd_vari Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1op__vvd__vari.html">stan::math::op_vvd_vari</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#aca07baf5275497bc4b6e2d42148296c9">avi_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html">stan::math::op_vvd_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#a0a708211e17a4967f8b32594fda9b33a">bvi_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html">stan::math::op_vvd_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#a6184fba1516ee458408d47f8ba4d64fa">cd_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html">stan::math::op_vvd_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#a9d05288a55b07c9dedc37436f42fa4b6">op_vvd_vari</a>(double f, vari *avi, vari *bvi, double c)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html">stan::math::op_vvd_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
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+</table>
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+<!-- end header part -->
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+</div>
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+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__vvd__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_vvd_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="vvd__vari_8hpp_source.html">vvd_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::op_vvd_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1op__vvd__vari.png" usemap="#stan::math::op_vvd_vari_map" alt=""/>
+  <map id="stan::math::op_vvd_vari_map" name="stan::math::op_vvd_vari_map">
+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,144,24"/>
+</map>
+ </div></div>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a9d05288a55b07c9dedc37436f42fa4b6"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#a9d05288a55b07c9dedc37436f42fa4b6">op_vvd_vari</a> (double f, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *avi, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *bvi, double c)</td></tr>
+<tr class="separator:a9d05288a55b07c9dedc37436f42fa4b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a> (const double x, bool stacked)</td></tr>
+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a> ()</td></tr>
+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a> ()</td></tr>
+<tr class="memdesc:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#a49e7e163a7f36e485e86e79d800ba04f">More...</a><br /></td></tr>
+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a> ()</td></tr>
+<tr class="memdesc:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the adjoint for this (dependent) variable to 1.  <a href="#a5f18458dab300f020b4546d046fa0183">More...</a><br /></td></tr>
+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a> ()</td></tr>
+<tr class="memdesc:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the adjoint value of this variable to 0.  <a href="#ab12bfdea5530029d862bdfa2ae9ead3d">More...</a><br /></td></tr>
+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:aca07baf5275497bc4b6e2d42148296c9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#aca07baf5275497bc4b6e2d42148296c9">avi_</a></td></tr>
+<tr class="separator:aca07baf5275497bc4b6e2d42148296c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memitem">
+<div class="memproto">
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+          <td class="paramtype">double&#160;</td>
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+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
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+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
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+        <tr>
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+<p>Definition at line <a class="el" href="vvd__vari_8hpp_source.html#l00015">15</a> of file <a class="el" href="vvd__vari_8hpp_source.html">vvd_vari.hpp</a>.</p>
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+</div>
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+<div class="memitem">
+<div class="memproto">
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+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::op_vvd_vari::bvi_</td>
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+      </table>
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+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="vvd__vari_8hpp_source.html#l00012">12</a> of file <a class="el" href="vvd__vari_8hpp_source.html">vvd_vari.hpp</a>.</p>
+
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+          <td class="memname">double stan::math::op_vvd_vari::cd_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+<p>Definition at line <a class="el" href="vvd__vari_8hpp_source.html#l00013">13</a> of file <a class="el" href="vvd__vari_8hpp_source.html">vvd_vari.hpp</a>.</p>
+
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1op__vvv__vari.html">stan::math::op_vvv_vari</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html">op_vvv_vari</a></li>  </ul>
+</div>
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+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1op__vvv__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::op_vvv_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="vvv__vari_8hpp_source.html">vvv_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::op_vvv_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1op__vvv__vari.png" usemap="#stan::math::op_vvv_vari_map" alt=""/>
+  <map id="stan::math::op_vvv_vari_map" name="stan::math::op_vvv_vari_map">
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+<area href="classstan_1_1math_1_1precomp__vvv__vari.html" alt="stan::math::precomp_vvv_vari" shape="rect" coords="0,112,179,136"/>
+</map>
+ </div></div>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ac1e794e5ed125a3183d00d84d22cb7aa"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac1e794e5ed125a3183d00d84d22cb7aa">op_vvv_vari</a> (double f, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *avi, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *bvi, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *cvi)</td></tr>
+<tr class="separator:ac1e794e5ed125a3183d00d84d22cb7aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
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+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#a49e7e163a7f36e485e86e79d800ba04f">More...</a><br /></td></tr>
+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the adjoint for this (dependent) variable to 1.  <a href="#a5f18458dab300f020b4546d046fa0183">More...</a><br /></td></tr>
+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a> ()</td></tr>
+<tr class="memdesc:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the adjoint value of this variable to 0.  <a href="#ab12bfdea5530029d862bdfa2ae9ead3d">More...</a><br /></td></tr>
+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:ac813cca4e210763164b061732e60d775"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac813cca4e210763164b061732e60d775">avi_</a></td></tr>
+<tr class="separator:ac813cca4e210763164b061732e60d775"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac8e9a82361ea5fcf0a51f088d29be90e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac8e9a82361ea5fcf0a51f088d29be90e">bvi_</a></td></tr>
+<tr class="separator:ac8e9a82361ea5fcf0a51f088d29be90e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad8b02ef27dfacf65c9e4eac914cc800e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ad8b02ef27dfacf65c9e4eac914cc800e">cvi_</a></td></tr>
+<tr class="separator:ad8b02ef27dfacf65c9e4eac914cc800e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
+Additional Inherited Members</h2></td></tr>
+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a> (size_t nbytes)</td></tr>
+<tr class="memdesc:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate memory from the underlying memory pool.  <a href="#a16101f22e0c7c0fb2aaa7bb79e83f260">More...</a><br /></td></tr>
+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a> (void *)</td></tr>
+<tr class="memdesc:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a pointer from the underlying memory pool.  <a href="#ad061c3e1e9172753fa54d57a9718b10c">More...</a><br /></td></tr>
+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_attribs_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_attribs_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Attributes inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td></tr>
+<tr class="memdesc:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of this variable.  <a href="#a5c8a37e50654a282308ddde46e68ede6">More...</a><br /></td></tr>
+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td></tr>
+<tr class="memdesc:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable.  <a href="#a53f635dd2454bc46335f3ad5bd172623">More...</a><br /></td></tr>
+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="vvv__vari_8hpp_source.html#l00010">10</a> of file <a class="el" href="vvv__vari_8hpp_source.html">vvv_vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ac1e794e5ed125a3183d00d84d22cb7aa"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::op_vvv_vari::op_vvv_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>avi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>bvi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>cvi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
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+  &nbsp;&nbsp;&nbsp;&nbsp;
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+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="precomp__v__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="precomp__v__vari_8hpp_source.html">precomp_v_vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a0c517d5c59eff9c50c47be525b646a3a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::precomp_v_vari::precomp_v_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>val</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>avi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>da</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="precomp__v__vari_8hpp_source.html#l00015">15</a> of file <a class="el" href="precomp__v__vari_8hpp_source.html">precomp_v_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a1ea984c684b3bc8a368c9554d9f0625b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::precomp_v_vari::chain </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">virtual</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
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+<p>Apply the chain rule to this variable based on the variables on which it depends. </p>
+<p>The base implementation in this class is a no-op. </p>
+
+<p>Reimplemented from <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">stan::math::vari</a>.</p>
+
+<p>Definition at line <a class="el" href="precomp__v__vari_8hpp_source.html#l00019">19</a> of file <a class="el" href="precomp__v__vari_8hpp_source.html">precomp_v_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="aebcc7a60e78ba7f4156697faaf9cc0f0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::precomp_v_vari::da_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="precomp__v__vari_8hpp_source.html#l00013">13</a> of file <a class="el" href="precomp__v__vari_8hpp_source.html">precomp_v_vari.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="precomp__v__vari_8hpp_source.html">precomp_v_vari.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">stan::math::precomp_vv_vari Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html">stan::math::precomp_vv_vari</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vv__vari.html#a9fcd1e5dacb0fbd015b28c4773071b6d">avi_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vv__vari.html">stan::math::op_vv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vv__vari.html#abe4e66ae889c118cb8ca89fcc6f6e216">bvi_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vv__vari.html">stan::math::op_vv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#ad3a8d46be2b9b6b8947953d3f537cc4c">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html">stan::math::precomp_vv_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#af97b5e93718119df5074e486f4825bea">da_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html">stan::math::precomp_vv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#a135ab5b456986b163575aceb179a8a40">db_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html">stan::math::precomp_vv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vv__vari.html#a3dcab4ca1dbd8919683d11d13419278e">op_vv_vari</a>(double f, vari *avi, vari *bvi)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vv__vari.html">stan::math::op_vv_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#af33cdfd8e10840954045d5437ea0b521">precomp_vv_vari</a>(double val, vari *avi, vari *bvi, double da, double db)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html">stan::math::precomp_vv_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
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+   &#160;<span id="projectnumber">2.10.0</span>
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+  <div class="headertitle">
+<div class="title">stan::math::precomp_vv_vari Class Reference</div>  </div>
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+<p><code>#include &lt;<a class="el" href="precomp__vv__vari_8hpp_source.html">precomp_vv_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::precomp_vv_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1precomp__vv__vari.png" usemap="#stan::math::precomp_vv_vari_map" alt=""/>
+  <map id="stan::math::precomp_vv_vari_map" name="stan::math::precomp_vv_vari_map">
+<area href="classstan_1_1math_1_1op__vv__vari.html" alt="stan::math::op_vv_vari" shape="rect" coords="0,56,172,80"/>
+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,172,24"/>
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:af33cdfd8e10840954045d5437ea0b521"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#af33cdfd8e10840954045d5437ea0b521">precomp_vv_vari</a> (double val, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *avi, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *bvi, double da, double db)</td></tr>
+<tr class="separator:af33cdfd8e10840954045d5437ea0b521"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad3a8d46be2b9b6b8947953d3f537cc4c"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#ad3a8d46be2b9b6b8947953d3f537cc4c">chain</a> ()</td></tr>
+<tr class="memdesc:ad3a8d46be2b9b6b8947953d3f537cc4c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#ad3a8d46be2b9b6b8947953d3f537cc4c">More...</a><br /></td></tr>
+<tr class="separator:ad3a8d46be2b9b6b8947953d3f537cc4c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1op__vv__vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1op__vv__vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1op__vv__vari.html">stan::math::op_vv_vari</a></td></tr>
+<tr class="memitem:a3dcab4ca1dbd8919683d11d13419278e inherit pub_methods_classstan_1_1math_1_1op__vv__vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vv__vari.html#a3dcab4ca1dbd8919683d11d13419278e">op_vv_vari</a> (double f, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *avi, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *bvi)</td></tr>
+<tr class="separator:a3dcab4ca1dbd8919683d11d13419278e inherit pub_methods_classstan_1_1math_1_1op__vv__vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a> (const double x, bool stacked)</td></tr>
+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a> ()</td></tr>
+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a> ()</td></tr>
+<tr class="memdesc:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the adjoint for this (dependent) variable to 1.  <a href="#a5f18458dab300f020b4546d046fa0183">More...</a><br /></td></tr>
+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a135ab5b456986b163575aceb179a8a40"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="precomp__vv__vari_8hpp_source.html#l00011">11</a> of file <a class="el" href="precomp__vv__vari_8hpp_source.html">precomp_vv_vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="af33cdfd8e10840954045d5437ea0b521"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::precomp_vv_vari::precomp_vv_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>val</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>avi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>bvi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>da</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>db</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="precomp__vv__vari_8hpp_source.html#l00016">16</a> of file <a class="el" href="precomp__vv__vari_8hpp_source.html">precomp_vv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="ad3a8d46be2b9b6b8947953d3f537cc4c"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::precomp_vv_vari::chain </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">virtual</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
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+<p>Apply the chain rule to this variable based on the variables on which it depends. </p>
+<p>The base implementation in this class is a no-op. </p>
+
+<p>Reimplemented from <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">stan::math::vari</a>.</p>
+
+<p>Definition at line <a class="el" href="precomp__vv__vari_8hpp_source.html#l00023">23</a> of file <a class="el" href="precomp__vv__vari_8hpp_source.html">precomp_vv_vari.hpp</a>.</p>
+
+</div>
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+<h2 class="groupheader">Member Data Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
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+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::precomp_vv_vari::da_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="precomp__vv__vari_8hpp_source.html#l00013">13</a> of file <a class="el" href="precomp__vv__vari_8hpp_source.html">precomp_vv_vari.hpp</a>.</p>
+
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+</div>
+<a class="anchor" id="a135ab5b456986b163575aceb179a8a40"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::precomp_vv_vari::db_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="precomp__vv__vari_8hpp_source.html#l00014">14</a> of file <a class="el" href="precomp__vv__vari_8hpp_source.html">precomp_vv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="precomp__vv__vari_8hpp_source.html">precomp_vv_vari.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::precomp_vvv_vari Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html">stan::math::precomp_vvv_vari</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac813cca4e210763164b061732e60d775">avi_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html">stan::math::op_vvv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac8e9a82361ea5fcf0a51f088d29be90e">bvi_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html">stan::math::op_vvv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#a2e4939dbd5afb15e897f7af7dfa72640">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html">stan::math::precomp_vvv_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ad8b02ef27dfacf65c9e4eac914cc800e">cvi_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html">stan::math::op_vvv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#ab917bd646e4c1e48cc62c0200b4be8ca">da_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html">stan::math::precomp_vvv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#ae0b4d2b33c8c29d99021b4693a1247ce">db_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html">stan::math::precomp_vvv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#ad4e4385c71e5c0ae76b62e1f581600b0">dc_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html">stan::math::precomp_vvv_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac1e794e5ed125a3183d00d84d22cb7aa">op_vvv_vari</a>(double f, vari *avi, vari *bvi, vari *cvi)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html">stan::math::op_vvv_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#a6d8ea94d167987d3aa4f437079f4f2c0">precomp_vvv_vari</a>(double val, vari *avi, vari *bvi, vari *cvi, double da, double db, double dc)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html">stan::math::precomp_vvv_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html">precomp_vvv_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1precomp__vvv__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::precomp_vvv_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
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+<p><code>#include &lt;<a class="el" href="precomp__vvv__vari_8hpp_source.html">precomp_vvv_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::precomp_vvv_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1precomp__vvv__vari.png" usemap="#stan::math::precomp_vvv_vari_map" alt=""/>
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+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,179,24"/>
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+<tr class="memitem:a6d8ea94d167987d3aa4f437079f4f2c0"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#a6d8ea94d167987d3aa4f437079f4f2c0">precomp_vvv_vari</a> (double val, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *avi, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *bvi, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *cvi, double da, double db, double dc)</td></tr>
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+<tr class="memdesc:a2e4939dbd5afb15e897f7af7dfa72640"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#a2e4939dbd5afb15e897f7af7dfa72640">More...</a><br /></td></tr>
+<tr class="separator:a2e4939dbd5afb15e897f7af7dfa72640"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1op__vvv__vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1op__vvv__vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1op__vvv__vari.html">stan::math::op_vvv_vari</a></td></tr>
+<tr class="memitem:ac1e794e5ed125a3183d00d84d22cb7aa inherit pub_methods_classstan_1_1math_1_1op__vvv__vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac1e794e5ed125a3183d00d84d22cb7aa">op_vvv_vari</a> (double f, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *avi, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *bvi, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *cvi)</td></tr>
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+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
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+<tr class="memitem:ab917bd646e4c1e48cc62c0200b4be8ca"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#ab917bd646e4c1e48cc62c0200b4be8ca">da_</a></td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a6d8ea94d167987d3aa4f437079f4f2c0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::precomp_vvv_vari::precomp_vvv_vari </td>
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+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>val</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>avi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>bvi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>cvi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>da</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>db</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>dc</em>&#160;</td>
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+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="precomp__vvv__vari_8hpp_source.html#l00017">17</a> of file <a class="el" href="precomp__vvv__vari_8hpp_source.html">precomp_vvv_vari.hpp</a>.</p>
+
+</div>
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+          <td></td>
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+      </table>
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+<p>Reimplemented from <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">stan::math::vari</a>.</p>
+
+<p>Definition at line <a class="el" href="precomp__vvv__vari_8hpp_source.html#l00025">25</a> of file <a class="el" href="precomp__vvv__vari_8hpp_source.html">precomp_vvv_vari.hpp</a>.</p>
+
+</div>
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+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="ab917bd646e4c1e48cc62c0200b4be8ca"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::precomp_vvv_vari::da_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+
+<p>Definition at line <a class="el" href="precomp__vvv__vari_8hpp_source.html#l00013">13</a> of file <a class="el" href="precomp__vvv__vari_8hpp_source.html">precomp_vvv_vari.hpp</a>.</p>
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+          <td class="memname">double stan::math::precomp_vvv_vari::db_</td>
+        </tr>
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+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="precomp__vvv__vari_8hpp_source.html#l00014">14</a> of file <a class="el" href="precomp__vvv__vari_8hpp_source.html">precomp_vvv_vari.hpp</a>.</p>
+
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+<a class="anchor" id="ad4e4385c71e5c0ae76b62e1f581600b0"></a>
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+      <table class="memname">
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+          <td class="memname">double stan::math::precomp_vvv_vari::dc_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="precomp__vvv__vari_8hpp_source.html#l00015">15</a> of file <a class="el" href="precomp__vvv__vari_8hpp_source.html">precomp_vvv_vari.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="precomp__vvv__vari_8hpp_source.html">precomp_vvv_vari.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+</div><!-- top -->
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+<div class="title">stan::math::precomputed_gradients_vari Member List</div>  </div>
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+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html">stan::math::precomputed_gradients_vari</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#a3fdc12d96fed2ae97bc8b6d90c117d1e">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html">stan::math::precomputed_gradients_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#ab1b2c58490560a34da96fee3d4057620">gradients_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html">stan::math::precomputed_gradients_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#afab325fb81b8370a78f3455be5ebdeb6">precomputed_gradients_vari</a>(double val, size_t size, vari **varis, double *gradients)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html">stan::math::precomputed_gradients_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#a1e7e812862a9af73da3a8c50f0d65302">precomputed_gradients_vari</a>(double val, const std::vector&lt; var &gt; &amp;vars, const std::vector&lt; double &gt; &amp;gradients)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html">stan::math::precomputed_gradients_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#a785ccdd15f3d34aad96351dbfc2131a8">size_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html">stan::math::precomputed_gradients_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#aedb6cbfaa40f6882efda15856d4c7d0a">varis_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html">stan::math::precomputed_gradients_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+  <i>&copy; 2011&ndash;2016,
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diff --git a/doc/api/html/classstan_1_1math_1_1precomputed__gradients__vari.html b/doc/api/html/classstan_1_1math_1_1precomputed__gradients__vari.html
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html">precomputed_gradients_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1precomputed__gradients__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::precomputed_gradients_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>A variable implementation taking a sequence of operands and partial derivatives with respect to the operands.  
+ <a href="classstan_1_1math_1_1precomputed__gradients__vari.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="precomputed__gradients_8hpp_source.html">precomputed_gradients.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::precomputed_gradients_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1precomputed__gradients__vari.png" usemap="#stan::math::precomputed_gradients_vari_map" alt=""/>
+  <map id="stan::math::precomputed_gradients_vari_map" name="stan::math::precomputed_gradients_vari_map">
+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,234,24"/>
+</map>
+ </div></div>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:afab325fb81b8370a78f3455be5ebdeb6"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#afab325fb81b8370a78f3455be5ebdeb6">precomputed_gradients_vari</a> (double val, size_t <a class="el" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> **varis, double *gradients)</td></tr>
+<tr class="memdesc:afab325fb81b8370a78f3455be5ebdeb6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a precomputed vari with the specified value, operands, and gradients.  <a href="#afab325fb81b8370a78f3455be5ebdeb6">More...</a><br /></td></tr>
+<tr class="separator:afab325fb81b8370a78f3455be5ebdeb6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1e7e812862a9af73da3a8c50f0d65302"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#a1e7e812862a9af73da3a8c50f0d65302">precomputed_gradients_vari</a> (double val, const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;vars, const std::vector&lt; double &gt; &amp;gradients)</td></tr>
+<tr class="memdesc:a1e7e812862a9af73da3a8c50f0d65302"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a precomputed vari with the specified value, operands, and gradients.  <a href="#a1e7e812862a9af73da3a8c50f0d65302">More...</a><br /></td></tr>
+<tr class="separator:a1e7e812862a9af73da3a8c50f0d65302"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3fdc12d96fed2ae97bc8b6d90c117d1e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#a3fdc12d96fed2ae97bc8b6d90c117d1e">chain</a> ()</td></tr>
+<tr class="memdesc:a3fdc12d96fed2ae97bc8b6d90c117d1e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Implements the chain rule for this variable, using the prestored operands and gradient.  <a href="#a3fdc12d96fed2ae97bc8b6d90c117d1e">More...</a><br /></td></tr>
+<tr class="separator:a3fdc12d96fed2ae97bc8b6d90c117d1e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a> (const double x, bool stacked)</td></tr>
+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a> ()</td></tr>
+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a> ()</td></tr>
+<tr class="memdesc:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the adjoint for this (dependent) variable to 1.  <a href="#a5f18458dab300f020b4546d046fa0183">More...</a><br /></td></tr>
+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the adjoint value of this variable to 0.  <a href="#ab12bfdea5530029d862bdfa2ae9ead3d">More...</a><br /></td></tr>
+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:a785ccdd15f3d34aad96351dbfc2131a8"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#a785ccdd15f3d34aad96351dbfc2131a8">size_</a></td></tr>
+<tr class="separator:a785ccdd15f3d34aad96351dbfc2131a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aedb6cbfaa40f6882efda15856d4c7d0a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> **&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#aedb6cbfaa40f6882efda15856d4c7d0a">varis_</a></td></tr>
+<tr class="separator:aedb6cbfaa40f6882efda15856d4c7d0a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab1b2c58490560a34da96fee3d4057620"><td class="memItemLeft" align="right" valign="top">double *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#ab1b2c58490560a34da96fee3d4057620">gradients_</a></td></tr>
+<tr class="separator:ab1b2c58490560a34da96fee3d4057620"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
+Additional Inherited Members</h2></td></tr>
+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a> (size_t nbytes)</td></tr>
+<tr class="memdesc:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate memory from the underlying memory pool.  <a href="#a16101f22e0c7c0fb2aaa7bb79e83f260">More...</a><br /></td></tr>
+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a> (void *)</td></tr>
+<tr class="memdesc:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a pointer from the underlying memory pool.  <a href="#ad061c3e1e9172753fa54d57a9718b10c">More...</a><br /></td></tr>
+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_attribs_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_attribs_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Attributes inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td></tr>
+<tr class="memdesc:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of this variable.  <a href="#a5c8a37e50654a282308ddde46e68ede6">More...</a><br /></td></tr>
+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td></tr>
+<tr class="memdesc:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable.  <a href="#a53f635dd2454bc46335f3ad5bd172623">More...</a><br /></td></tr>
+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>A variable implementation taking a sequence of operands and partial derivatives with respect to the operands. </p>
+<p>Stan users should use function <a class="el" href="namespacestan_1_1math.html#a2ae0c4c9c64db8bb166f67caf352b35f" title="This function returns a var for an expression that has the specified value, vector of operands...">precomputed_gradients()</a> directly. </p>
+
+<p>Definition at line <a class="el" href="precomputed__gradients_8hpp_source.html#l00021">21</a> of file <a class="el" href="precomputed__gradients_8hpp_source.html">precomputed_gradients.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="afab325fb81b8370a78f3455be5ebdeb6"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::precomputed_gradients_vari::precomputed_gradients_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>val</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>size</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> **&#160;</td>
+          <td class="paramname"><em>varis</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double *&#160;</td>
+          <td class="paramname"><em>gradients</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a precomputed vari with the specified value, operands, and gradients. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">val</td><td>The value of the variable. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>Size of operands and gradients </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">varis</td><td>Operand implementations. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">gradients</td><td>Gradients with respect to operands. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="precomputed__gradients_8hpp_source.html#l00037">37</a> of file <a class="el" href="precomputed__gradients_8hpp_source.html">precomputed_gradients.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1e7e812862a9af73da3a8c50f0d65302"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::precomputed_gradients_vari::precomputed_gradients_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>val</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>vars</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>gradients</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a precomputed vari with the specified value, operands, and gradients. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">val</td><td>The value of the variable. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">vars</td><td>Vector of operands. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">gradients</td><td>Vector of partial derivatives of value with respect to operands. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td>if the sizes of the vectors don't match. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="precomputed__gradients_8hpp_source.html#l00058">58</a> of file <a class="el" href="precomputed__gradients_8hpp_source.html">precomputed_gradients.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a3fdc12d96fed2ae97bc8b6d90c117d1e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::precomputed_gradients_vari::chain </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">virtual</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Implements the chain rule for this variable, using the prestored operands and gradient. </p>
+
+<p>Reimplemented from <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">stan::math::vari</a>.</p>
+
+<p>Definition at line <a class="el" href="precomputed__gradients_8hpp_source.html#l00079">79</a> of file <a class="el" href="precomputed__gradients_8hpp_source.html">precomputed_gradients.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="ab1b2c58490560a34da96fee3d4057620"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double* stan::math::precomputed_gradients_vari::gradients_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="precomputed__gradients_8hpp_source.html#l00025">25</a> of file <a class="el" href="precomputed__gradients_8hpp_source.html">precomputed_gradients.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a785ccdd15f3d34aad96351dbfc2131a8"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t stan::math::precomputed_gradients_vari::size_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="precomputed__gradients_8hpp_source.html#l00023">23</a> of file <a class="el" href="precomputed__gradients_8hpp_source.html">precomputed_gradients.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aedb6cbfaa40f6882efda15856d4c7d0a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>** stan::math::precomputed_gradients_vari::varis_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="precomputed__gradients_8hpp_source.html#l00024">24</a> of file <a class="el" href="precomputed__gradients_8hpp_source.html">precomputed_gradients.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="precomputed__gradients_8hpp_source.html">precomputed_gradients.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
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+</div>
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+<div class="header">
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+<div class="title">stan::math::seq_view&lt; T, S &gt; Member List</div>  </div>
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+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view&lt; T, S &gt;</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view.html#abdd1705b880895c4e32e917fad70fb0b">operator[]</a>(int n) const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view&lt; T, S &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view.html#a0c10cc8d25cff8c90c8bbecf3cd054a1">seq_view</a>(typename pass_type&lt; S &gt;::type x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view&lt; T, S &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view.html#ab20467423ddb3b3e45513abb8e4a21d3">size</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view&lt; T, S &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1seq__view.html">seq_view</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1seq__view-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, S &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a0c10cc8d25cff8c90c8bbecf3cd054a1"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view.html#a0c10cc8d25cff8c90c8bbecf3cd054a1">seq_view</a> (typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; S &gt;::type x)</td></tr>
+<tr class="separator:a0c10cc8d25cff8c90c8bbecf3cd054a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abdd1705b880895c4e32e917fad70fb0b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; T &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view.html#abdd1705b880895c4e32e917fad70fb0b">operator[]</a> (int n) const </td></tr>
+<tr class="separator:abdd1705b880895c4e32e917fad70fb0b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab20467423ddb3b3e45513abb8e4a21d3"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view.html#ab20467423ddb3b3e45513abb8e4a21d3">size</a> () const </td></tr>
+<tr class="separator:ab20467423ddb3b3e45513abb8e4a21d3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+class stan::math::seq_view&lt; T, S &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00042">42</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a0c10cc8d25cff8c90c8bbecf3cd054a1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, S &gt;::<a class="el" href="classstan_1_1math_1_1seq__view.html">seq_view</a> </td>
+          <td>(</td>
+          <td class="paramtype">typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; S &gt;::type&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
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+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00046">46</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="abdd1705b880895c4e32e917fad70fb0b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt;T&gt;::type <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, S &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00050">50</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab20467423ddb3b3e45513abb8e4a21d3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, S &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00053">53</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4-members.html b/doc/api/html/classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4-members.html
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+<script type="text/javascript" src="search/search.js"></script>
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+  $(document).ready(function() { init_search(); });
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<!-- window showing the filter options -->
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+     onmouseover="return searchBox.OnSearchSelectShow()"
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+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#aafd342f1f6f9851fd8f8e3494b36068e">operator[]</a>(int n) const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a57ab58ed09da14b8efcf83b9d1528b88">seq_view</a>(typename pass_type&lt; Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;::type x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a8c830a8c9c9c431a71a89cf4b996b27e">size</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </i>
+  </span>
+</div>
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+<title>Stan Math Library: stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt; Class Template Reference</title>
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+        name="MSearchResults" id="MSearchResults">
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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+<tr class="memitem:a57ab58ed09da14b8efcf83b9d1528b88"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a57ab58ed09da14b8efcf83b9d1528b88">seq_view</a> (typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;::type x)</td></tr>
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+<tr class="separator:aafd342f1f6f9851fd8f8e3494b36068e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8c830a8c9c9c431a71a89cf4b996b27e"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a8c830a8c9c9c431a71a89cf4b996b27e">size</a> () const </td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+class stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00078">78</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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+<div class="memitem">
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+          <td>(</td>
+          <td class="paramtype">typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
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+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00082">82</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="aafd342f1f6f9851fd8f8e3494b36068e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
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+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt;T&gt;::type <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00087">87</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a8c830a8c9c9c431a71a89cf4b996b27e"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00090">90</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
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+  $(document).ready(function() { init_search(); });
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#ae570c324a14b81a018475195a77e4430">seq_view</a>(typename pass_type&lt; Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;::type x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a3284abfb2471ad555d43a8693658c5ec">size</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ae570c324a14b81a018475195a77e4430"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#ae570c324a14b81a018475195a77e4430">seq_view</a> (typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;::type x)</td></tr>
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+<tr class="memitem:a6466225a392d75a98f0ae43c5f001820"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; T &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a6466225a392d75a98f0ae43c5f001820">operator[]</a> (int n) const </td></tr>
+<tr class="separator:a6466225a392d75a98f0ae43c5f001820"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3284abfb2471ad555d43a8693658c5ec"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a3284abfb2471ad555d43a8693658c5ec">size</a> () const </td></tr>
+<tr class="separator:a3284abfb2471ad555d43a8693658c5ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+class stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00059">59</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ae570c324a14b81a018475195a77e4430"></a>
+<div class="memitem">
+<div class="memproto">
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+        <tr>
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+          <td>(</td>
+          <td class="paramtype">typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00063">63</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a6466225a392d75a98f0ae43c5f001820"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt;T&gt;::type <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00068">68</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3284abfb2471ad555d43a8693658c5ec"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00071">71</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<title>Stan Math Library: stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; Class Template Reference</title>
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html">seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_085212abef8028c93e19b6c8ba8c0204d.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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+<tr class="memitem:a706e3bea5d58f77fd9d6d427e64aa370"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a706e3bea5d58f77fd9d6d427e64aa370">seq_view</a> (typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::type x)</td></tr>
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+<tr class="memitem:ab45edf39aad64a4093db924b02322af9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; T &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#ab45edf39aad64a4093db924b02322af9">operator[]</a> (int n) const </td></tr>
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+<tr class="memitem:a07185ddaf17963a5724ddc2c62208922"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a07185ddaf17963a5724ddc2c62208922">size</a> () const </td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+class stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00099">99</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
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+      <table class="memname">
+        <tr>
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+          <td>(</td>
+          <td class="paramtype">typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00105">105</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="ab45edf39aad64a4093db924b02322af9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
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+      <table class="memname">
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+          <td class="memname"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt;T&gt;::type <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00110">110</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00113">113</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   <div id="projectname">Stan Math Library
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+<div class="header">
+  <div class="headertitle">
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>, including all inherited members.</p>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html">stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt;</a>, including all inherited members.</p>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+        name="MSearchResults" id="MSearchResults">
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html">seq_view&lt; T, std::vector&lt; S &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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+<tr class="memitem:a42ff5c63f8f83390fc7c585b41c0d5ed"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a42ff5c63f8f83390fc7c585b41c0d5ed">seq_view</a> (typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; std::vector&lt; S &gt; &gt;::type x)</td></tr>
+<tr class="separator:a42ff5c63f8f83390fc7c585b41c0d5ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acfe4d699397a114cabd8d970e569aac6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; T &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#acfe4d699397a114cabd8d970e569aac6">operator[]</a> (int n) const </td></tr>
+<tr class="separator:acfe4d699397a114cabd8d970e569aac6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3a6031049d11ce5429727dcbe5e29130"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a3a6031049d11ce5429727dcbe5e29130">size</a> () const </td></tr>
+<tr class="separator:a3a6031049d11ce5429727dcbe5e29130"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+class stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00120">120</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a42ff5c63f8f83390fc7c585b41c0d5ed"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, std::vector&lt; S &gt; &gt;::<a class="el" href="classstan_1_1math_1_1seq__view.html">seq_view</a> </td>
+          <td>(</td>
+          <td class="paramtype">typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; std::vector&lt; S &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
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+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00125">125</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="acfe4d699397a114cabd8d970e569aac6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt;T&gt;::type <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, std::vector&lt; S &gt; &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00130">130</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a3a6031049d11ce5429727dcbe5e29130"></a>
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+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, std::vector&lt; S &gt; &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00133">133</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#a2e9627b1092238710ed116adc7c1cab5">seq_view</a>(typename pass_type&lt; std::vector&lt; T &gt; &gt;::type x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#a3f616444293b86fdb17272494c88cc4c">size</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<script type="text/javascript" src="jquery.js"></script>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html">seq_view&lt; T, std::vector&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a2e9627b1092238710ed116adc7c1cab5"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#a2e9627b1092238710ed116adc7c1cab5">seq_view</a> (typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; std::vector&lt; T &gt; &gt;::type x)</td></tr>
+<tr class="separator:a2e9627b1092238710ed116adc7c1cab5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afe1bd346e72ac6adc53826801a7e54f2"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; T &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#afe1bd346e72ac6adc53826801a7e54f2">operator[]</a> (int n) const </td></tr>
+<tr class="separator:afe1bd346e72ac6adc53826801a7e54f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3f616444293b86fdb17272494c88cc4c"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#a3f616444293b86fdb17272494c88cc4c">size</a> () const </td></tr>
+<tr class="separator:a3f616444293b86fdb17272494c88cc4c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+class stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00141">141</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a2e9627b1092238710ed116adc7c1cab5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
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+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, std::vector&lt; T &gt; &gt;::<a class="el" href="classstan_1_1math_1_1seq__view.html">seq_view</a> </td>
+          <td>(</td>
+          <td class="paramtype">typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; std::vector&lt; T &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
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+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00145">145</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="afe1bd346e72ac6adc53826801a7e54f2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
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+          <td class="memname"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt;T&gt;::type <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, std::vector&lt; T &gt; &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00149">149</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
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+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, std::vector&lt; T &gt; &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00152">152</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#ac35e60cb3f9e9f4dde81b8ed3b532a2b">seq_view</a>(typename pass_type&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt;::type x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#ab81a7a5c2de89631c7aec2ab701854a1">size</a>() const </td><td class="entry"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html">seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ac35e60cb3f9e9f4dde81b8ed3b532a2b"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#ac35e60cb3f9e9f4dde81b8ed3b532a2b">seq_view</a> (typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt;::type x)</td></tr>
+<tr class="separator:ac35e60cb3f9e9f4dde81b8ed3b532a2b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa8d34d4dd171acbd81d642aea1b8b61e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; T &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#aa8d34d4dd171acbd81d642aea1b8b61e">operator[]</a> (int n) const </td></tr>
+<tr class="separator:aa8d34d4dd171acbd81d642aea1b8b61e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab81a7a5c2de89631c7aec2ab701854a1"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#ab81a7a5c2de89631c7aec2ab701854a1">size</a> () const </td></tr>
+<tr class="separator:ab81a7a5c2de89631c7aec2ab701854a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+class stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00160">160</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ac35e60cb3f9e9f4dde81b8ed3b532a2b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;::<a class="el" href="classstan_1_1math_1_1seq__view.html">seq_view</a> </td>
+          <td>(</td>
+          <td class="paramtype">typename <a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
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+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00165">165</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="aa8d34d4dd171acbd81d642aea1b8b61e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt;T&gt;::type <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00170">170</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab81a7a5c2de89631c7aec2ab701854a1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00173">173</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript">
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;</a>, including all inherited members.</p>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html b/doc/api/html/classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html">seq_view&lt; double, std::vector&lt; int &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt; Class Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ad82423565c559cd4e889350bc204319b"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#ad82423565c559cd4e889350bc204319b">seq_view</a> (<a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; std::vector&lt; int &gt; &gt;::type x)</td></tr>
+<tr class="separator:ad82423565c559cd4e889350bc204319b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a05bbd23ec952656521365f99d575a64c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; double &gt;::type&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#a05bbd23ec952656521365f99d575a64c">operator[]</a> (int n) const </td></tr>
+<tr class="separator:a05bbd23ec952656521365f99d575a64c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af56447dd766a3a5a9d6c97b0a2de9563"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#af56447dd766a3a5a9d6c97b0a2de9563">size</a> () const </td></tr>
+<tr class="separator:af56447dd766a3a5a9d6c97b0a2de9563"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;&gt;<br />
+class stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00179">179</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ad82423565c559cd4e889350bc204319b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; double, std::vector&lt; int &gt; &gt;::<a class="el" href="classstan_1_1math_1_1seq__view.html">seq_view</a> </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt; std::vector&lt; int &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00183">183</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a05bbd23ec952656521365f99d575a64c"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a>&lt;double&gt;::type <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; double, std::vector&lt; int &gt; &gt;::operator[] </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00186">186</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af56447dd766a3a5a9d6c97b0a2de9563"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int <a class="el" href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a>&lt; double, std::vector&lt; int &gt; &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00189">189</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::stack_alloc Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1stack__alloc.html">stan::math::stack_alloc</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">alloc</a>(size_t len)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1stack__alloc.html">stan::math::stack_alloc</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1stack__alloc.html#af65518d98ebd980303efa6cc3af76073">free_all</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1stack__alloc.html">stan::math::stack_alloc</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1stack__alloc.html#abdba5f8d013107c6a37f75e186bd6dfc">start_nested</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1stack__alloc.html">stan::math::stack_alloc</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1stack__alloc.html#a946367b4b88dd893103db604c5f23669">~stack_alloc</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1stack__alloc.html">stan::math::stack_alloc</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </span>
+</div>
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+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1stack__alloc.html">stack_alloc</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1stack__alloc-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::stack_alloc Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>An instance of this class provides a memory pool through which blocks of raw memory may be allocated and then collected simultaneously.  
+ <a href="classstan_1_1math_1_1stack__alloc.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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+<tr class="separator:a6008eaa183ed07fb744799103926baac"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a946367b4b88dd893103db604c5f23669"><td class="mdescLeft">&#160;</td><td class="mdescRight">Destroy this memory allocator.  <a href="#a946367b4b88dd893103db604c5f23669">More...</a><br /></td></tr>
+<tr class="separator:a946367b4b88dd893103db604c5f23669"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af867f7a48394cc0422a58f0253cb6c96"><td class="memItemLeft" align="right" valign="top">void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">alloc</a> (size_t len)</td></tr>
+<tr class="memdesc:af867f7a48394cc0422a58f0253cb6c96"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a newly allocated block of memory of the appropriate size managed by the stack allocator.  <a href="#af867f7a48394cc0422a58f0253cb6c96">More...</a><br /></td></tr>
+<tr class="separator:af867f7a48394cc0422a58f0253cb6c96"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac00d799a98c424893745b20166cff14b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ac00d799a98c424893745b20166cff14b"><td class="memTemplItemLeft" align="right" valign="top">T *&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1stack__alloc.html#ac00d799a98c424893745b20166cff14b">alloc_array</a> (size_t n)</td></tr>
+<tr class="memdesc:ac00d799a98c424893745b20166cff14b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate an array on the arena of the specified size to hold values of the specified template parameter type.  <a href="#ac00d799a98c424893745b20166cff14b">More...</a><br /></td></tr>
+<tr class="separator:ac00d799a98c424893745b20166cff14b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af298b06ae054599532498a1ccff4caeb"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1stack__alloc.html#af298b06ae054599532498a1ccff4caeb">recover_all</a> ()</td></tr>
+<tr class="memdesc:af298b06ae054599532498a1ccff4caeb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Recover all the memory used by the stack allocator.  <a href="#af298b06ae054599532498a1ccff4caeb">More...</a><br /></td></tr>
+<tr class="separator:af298b06ae054599532498a1ccff4caeb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abdba5f8d013107c6a37f75e186bd6dfc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1stack__alloc.html#abdba5f8d013107c6a37f75e186bd6dfc">start_nested</a> ()</td></tr>
+<tr class="memdesc:abdba5f8d013107c6a37f75e186bd6dfc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Store current positions before doing nested operation so can recover back to start.  <a href="#abdba5f8d013107c6a37f75e186bd6dfc">More...</a><br /></td></tr>
+<tr class="separator:abdba5f8d013107c6a37f75e186bd6dfc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9e7184bae2a2082fa7f683723379af7b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1stack__alloc.html#a9e7184bae2a2082fa7f683723379af7b">recover_nested</a> ()</td></tr>
+<tr class="memdesc:a9e7184bae2a2082fa7f683723379af7b"><td class="mdescLeft">&#160;</td><td class="mdescRight">recover memory back to the last start_nested call.  <a href="#a9e7184bae2a2082fa7f683723379af7b">More...</a><br /></td></tr>
+<tr class="separator:a9e7184bae2a2082fa7f683723379af7b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af65518d98ebd980303efa6cc3af76073"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1stack__alloc.html#af65518d98ebd980303efa6cc3af76073">free_all</a> ()</td></tr>
+<tr class="memdesc:af65518d98ebd980303efa6cc3af76073"><td class="mdescLeft">&#160;</td><td class="mdescRight">Free all memory used by the stack allocator other than the initial block allocation back to the system.  <a href="#af65518d98ebd980303efa6cc3af76073">More...</a><br /></td></tr>
+<tr class="separator:af65518d98ebd980303efa6cc3af76073"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac72fe7b15ca3086766445e2672e0b504"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1stack__alloc.html#ac72fe7b15ca3086766445e2672e0b504">bytes_allocated</a> ()</td></tr>
+<tr class="memdesc:ac72fe7b15ca3086766445e2672e0b504"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return number of bytes allocated to this instance by the heap.  <a href="#ac72fe7b15ca3086766445e2672e0b504">More...</a><br /></td></tr>
+<tr class="separator:ac72fe7b15ca3086766445e2672e0b504"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>An instance of this class provides a memory pool through which blocks of raw memory may be allocated and then collected simultaneously. </p>
+<p>This class is useful in settings where large numbers of small objects are allocated and then collected all at once. This may include objects whose destructors have no effect.</p>
+<p>Memory is allocated on a stack of blocks. Each block allocated is twice as large as the previous one. The memory may be recovered, with the blocks being reused, or all blocks may be freed, resetting the stack of blocks to its original state.</p>
+<p>Alignment up to 8 byte boundaries guaranteed for the first malloc, and after that it's up to the caller. On 64-bit architectures, all struct values should be padded to 8-byte boundaries if they contain an 8-byte member or a virtual function. </p>
+
+<p>Definition at line <a class="el" href="stack__alloc_8hpp_source.html#l00074">74</a> of file <a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a6008eaa183ed07fb744799103926baac"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::stack_alloc::stack_alloc </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>initial_nbytes</em> = <code>DEFAULT_INITIAL_NBYTES</code></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a resizable stack allocator initially holding the specified number of bytes. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">initial_nbytes</td><td>Initial number of bytes for the allocator. Defaults to <code>(1 &lt;&lt; 16) = 64KB</code> initial bytes. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::runtime_error</td><td>if the underlying malloc is not 8-byte aligned. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="stack__alloc_8hpp_source.html#l00131">131</a> of file <a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a946367b4b88dd893103db604c5f23669"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::stack_alloc::~stack_alloc </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Destroy this memory allocator. </p>
+<p>This is implemented as a no-op as there is no destruction required. </p>
+
+<p>Definition at line <a class="el" href="stack__alloc_8hpp_source.html#l00147">147</a> of file <a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="af867f7a48394cc0422a58f0253cb6c96"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void* stan::math::stack_alloc::alloc </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>len</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a newly allocated block of memory of the appropriate size managed by the stack allocator. </p>
+<p>The allocated pointer will be 8-byte aligned.</p>
+<p>This function may call C++'s <code>malloc()</code> function, with any exceptions percolated throught this function.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">len</td><td>Number of bytes to allocate. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>A pointer to the allocated memory. </dd></dl>
+
+<p>Definition at line <a class="el" href="stack__alloc_8hpp_source.html#l00166">166</a> of file <a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac00d799a98c424893745b20166cff14b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T* stan::math::stack_alloc::alloc_array </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Allocate an array on the arena of the specified size to hold values of the specified template parameter type. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of entries in allocated array. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>size of array to allocate. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>new array allocated on the arena. </dd></dl>
+
+<p>Definition at line <a class="el" href="stack__alloc_8hpp_source.html#l00186">186</a> of file <a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac72fe7b15ca3086766445e2672e0b504"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::math::stack_alloc::bytes_allocated </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return number of bytes allocated to this instance by the heap. </p>
+<p>This is not the same as the number of bytes allocated through calls to memalloc_. The latter number is not calculatable because space is wasted at the end of blocks if the next alloc request doesn't fit. (Perhaps we could trim down to what is actually used?)</p>
+<dl class="section return"><dt>Returns</dt><dd>number of bytes allocated to this instance </dd></dl>
+
+<p>Definition at line <a class="el" href="stack__alloc_8hpp_source.html#l00255">255</a> of file <a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af65518d98ebd980303efa6cc3af76073"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::stack_alloc::free_all </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Free all memory used by the stack allocator other than the initial block allocation back to the system. </p>
+<p>Note: the destructor will free all memory. </p>
+
+<p>Definition at line <a class="el" href="stack__alloc_8hpp_source.html#l00235">235</a> of file <a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af298b06ae054599532498a1ccff4caeb"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::stack_alloc::recover_all </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Recover all the memory used by the stack allocator. </p>
+<p>The stack of memory blocks allocated so far will be available for further allocations. To free memory back to the system, use the function <a class="el" href="classstan_1_1math_1_1stack__alloc.html#af65518d98ebd980303efa6cc3af76073" title="Free all memory used by the stack allocator other than the initial block allocation back to the syste...">free_all()</a>. </p>
+
+<p>Definition at line <a class="el" href="stack__alloc_8hpp_source.html#l00197">197</a> of file <a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9e7184bae2a2082fa7f683723379af7b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::stack_alloc::recover_nested </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>recover memory back to the last start_nested call. </p>
+
+<p>Definition at line <a class="el" href="stack__alloc_8hpp_source.html#l00216">216</a> of file <a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abdba5f8d013107c6a37f75e186bd6dfc"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::stack_alloc::start_nested </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Store current positions before doing nested operation so can recover back to start. </p>
+
+<p>Definition at line <a class="el" href="stack__alloc_8hpp_source.html#l00207">207</a> of file <a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/memory/<a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">stan::math::stored_gradient_vari Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html">stan::math::stored_gradient_vari</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a832278a4273ca489bc52148d6300b638">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html">stan::math::stored_gradient_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#ae5c373b3fc563e291e189571057c2027">dtrs_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html">stan::math::stored_gradient_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a318f47f75b1b24dd3ad5751fa741b6a4">partials_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html">stan::math::stored_gradient_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#aae7ebe863ce4f2544b1443d50c456a53">size_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html">stan::math::stored_gradient_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a9732c6c4334aea5e617476018e6ca4a5">stored_gradient_vari</a>(double value, size_t size, vari **dtrs, double *partials)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html">stan::math::stored_gradient_vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
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diff --git a/doc/api/html/classstan_1_1math_1_1stored__gradient__vari.html b/doc/api/html/classstan_1_1math_1_1stored__gradient__vari.html
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
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+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1stored__gradient__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::stored_gradient_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>A var implementation that stores the daughter variable implementation pointers and the partial derivative with respect to the result explicitly in arrays constructed on the auto-diff memory stack.  
+ <a href="classstan_1_1math_1_1stored__gradient__vari.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="stored__gradient__vari_8hpp_source.html">stored_gradient_vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::stored_gradient_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1stored__gradient__vari.png" usemap="#stan::math::stored_gradient_vari_map" alt=""/>
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+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,190,24"/>
+</map>
+ </div></div>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a9732c6c4334aea5e617476018e6ca4a5"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a9732c6c4334aea5e617476018e6ca4a5">stored_gradient_vari</a> (double value, size_t <a class="el" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> **dtrs, double *partials)</td></tr>
+<tr class="memdesc:a9732c6c4334aea5e617476018e6ca4a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a stored gradient vari with the specified value, size, daughter varis, and partial derivatives.  <a href="#a9732c6c4334aea5e617476018e6ca4a5">More...</a><br /></td></tr>
+<tr class="separator:a9732c6c4334aea5e617476018e6ca4a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a832278a4273ca489bc52148d6300b638"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a832278a4273ca489bc52148d6300b638">chain</a> ()</td></tr>
+<tr class="memdesc:a832278a4273ca489bc52148d6300b638"><td class="mdescLeft">&#160;</td><td class="mdescRight">Propagate derivatives through this vari with partial derivatives given for the daughter vari by the stored partials.  <a href="#a832278a4273ca489bc52148d6300b638">More...</a><br /></td></tr>
+<tr class="separator:a832278a4273ca489bc52148d6300b638"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a> (const double x, bool stacked)</td></tr>
+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:aae7ebe863ce4f2544b1443d50c456a53"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#aae7ebe863ce4f2544b1443d50c456a53">size_</a></td></tr>
+<tr class="separator:aae7ebe863ce4f2544b1443d50c456a53"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ae5c373b3fc563e291e189571057c2027"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a318f47f75b1b24dd3ad5751fa741b6a4"><td class="memItemLeft" align="right" valign="top">double *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a318f47f75b1b24dd3ad5751fa741b6a4">partials_</a></td></tr>
+<tr class="separator:a318f47f75b1b24dd3ad5751fa741b6a4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
+Additional Inherited Members</h2></td></tr>
+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a> (size_t nbytes)</td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a> (void *)</td></tr>
+<tr class="memdesc:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a pointer from the underlying memory pool.  <a href="#ad061c3e1e9172753fa54d57a9718b10c">More...</a><br /></td></tr>
+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_attribs_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_attribs_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Attributes inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td></tr>
+<tr class="memdesc:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of this variable.  <a href="#a5c8a37e50654a282308ddde46e68ede6">More...</a><br /></td></tr>
+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td></tr>
+<tr class="memdesc:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable.  <a href="#a53f635dd2454bc46335f3ad5bd172623">More...</a><br /></td></tr>
+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>A var implementation that stores the daughter variable implementation pointers and the partial derivative with respect to the result explicitly in arrays constructed on the auto-diff memory stack. </p>
+<p>Like a simplified version of <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html" title="This class builds partial derivatives with respect to a set of operands. ">OperandsAndPartials</a>. </p>
+
+<p>Definition at line <a class="el" href="stored__gradient__vari_8hpp_source.html#l00018">18</a> of file <a class="el" href="stored__gradient__vari_8hpp_source.html">stored_gradient_vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a9732c6c4334aea5e617476018e6ca4a5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::stored_gradient_vari::stored_gradient_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>size</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> **&#160;</td>
+          <td class="paramname"><em>dtrs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double *&#160;</td>
+          <td class="paramname"><em>partials</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a stored gradient vari with the specified value, size, daughter varis, and partial derivatives. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value of vari </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">size</td><td>Number of daughters </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">dtrs</td><td>Array of pointers to daughters </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">partials</td><td>Partial derivatives of value with respect to daughters. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="stored__gradient__vari_8hpp_source.html#l00035">35</a> of file <a class="el" href="stored__gradient__vari_8hpp_source.html">stored_gradient_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a832278a4273ca489bc52148d6300b638"></a>
+<div class="memitem">
+<div class="memproto">
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+      <table class="memname">
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+          <td class="memname">void stan::math::stored_gradient_vari::chain </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">virtual</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Propagate derivatives through this vari with partial derivatives given for the daughter vari by the stored partials. </p>
+
+<p>Reimplemented from <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">stan::math::vari</a>.</p>
+
+<p>Definition at line <a class="el" href="stored__gradient__vari_8hpp_source.html#l00049">49</a> of file <a class="el" href="stored__gradient__vari_8hpp_source.html">stored_gradient_vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="ae5c373b3fc563e291e189571057c2027"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
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+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>** stan::math::stored_gradient_vari::dtrs_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="stored__gradient__vari_8hpp_source.html#l00021">21</a> of file <a class="el" href="stored__gradient__vari_8hpp_source.html">stored_gradient_vari.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a318f47f75b1b24dd3ad5751fa741b6a4"></a>
+<div class="memitem">
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+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double* stan::math::stored_gradient_vari::partials_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="stored__gradient__vari_8hpp_source.html#l00022">22</a> of file <a class="el" href="stored__gradient__vari_8hpp_source.html">stored_gradient_vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aae7ebe863ce4f2544b1443d50c456a53"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::math::stored_gradient_vari::size_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="stored__gradient__vari_8hpp_source.html#l00020">20</a> of file <a class="el" href="stored__gradient__vari_8hpp_source.html">stored_gradient_vari.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="stored__gradient__vari_8hpp_source.html">stored_gradient_vari.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">stan::math::sum_eigen_v_vari Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html">stan::math::sum_eigen_v_vari</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a480eb0c5d04c92a3a4e28952ee14a4bb">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html">stan::math::sum_v_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html#a17ea145d6335dc9a5aabe3f02c572e96">sum_eigen_v_vari</a>(const Eigen::Matrix&lt; var, R1, C1 &gt; &amp;v1)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html">stan::math::sum_eigen_v_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a4d9b8faedd6e0dcde4cbad57ebba2b11">stan::math::sum_v_vari::sum_of_val</a>(const std::vector&lt; var &gt; &amp;v)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html">stan::math::sum_v_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">protected</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#ae9bf55b4be96685eaaa9bfefcbe23de9">sum_v_vari</a>(double value, vari **v, size_t length)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html">stan::math::sum_v_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a40d6b74038464b3734839e6df9077681">sum_v_vari</a>(const std::vector&lt; var &gt; &amp;v1)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html">stan::math::sum_v_vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a02ca46a8d2ffc591718513c98c09c9b6">v_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html">stan::math::sum_v_vari</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html">sum_eigen_v_vari</a></li>  </ul>
+</div>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-static-methods">Static Protected Member Functions</a> &#124;
+<a href="classstan_1_1math_1_1sum__eigen__v__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::sum_eigen_v_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Class for representing sums with constructors for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a>.  
+ <a href="classstan_1_1math_1_1sum__eigen__v__vari.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2mat_2fun_2sum_8hpp_source.html">sum.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::sum_eigen_v_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1sum__eigen__v__vari.png" usemap="#stan::math::sum_eigen_v_vari_map" alt=""/>
+  <map id="stan::math::sum_eigen_v_vari_map" name="stan::math::sum_eigen_v_vari_map">
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+<area href="classstan_1_1math_1_1vari.html" title="The variable implementation base class. " alt="stan::math::vari" shape="rect" coords="0,0,176,24"/>
+</map>
+ </div></div>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a17ea145d6335dc9a5aabe3f02c572e96"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1&gt; </td></tr>
+<tr class="memitem:a17ea145d6335dc9a5aabe3f02c572e96"><td class="memTemplItemLeft" align="right" valign="top">&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html#a17ea145d6335dc9a5aabe3f02c572e96">sum_eigen_v_vari</a> (const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;v1)</td></tr>
+<tr class="separator:a17ea145d6335dc9a5aabe3f02c572e96"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:ae9bf55b4be96685eaaa9bfefcbe23de9 inherit pub_methods_classstan_1_1math_1_1sum__v__vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#ae9bf55b4be96685eaaa9bfefcbe23de9">sum_v_vari</a> (double value, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> **v, size_t <a class="el" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>)</td></tr>
+<tr class="separator:ae9bf55b4be96685eaaa9bfefcbe23de9 inherit pub_methods_classstan_1_1math_1_1sum__v__vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a40d6b74038464b3734839e6df9077681 inherit pub_methods_classstan_1_1math_1_1sum__v__vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a480eb0c5d04c92a3a4e28952ee14a4bb inherit pub_methods_classstan_1_1math_1_1sum__v__vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#a480eb0c5d04c92a3a4e28952ee14a4bb">More...</a><br /></td></tr>
+<tr class="separator:a480eb0c5d04c92a3a4e28952ee14a4bb inherit pub_methods_classstan_1_1math_1_1sum__v__vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a> (const double x, bool stacked)</td></tr>
+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a> ()</td></tr>
+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the adjoint for this (dependent) variable to 1.  <a href="#a5f18458dab300f020b4546d046fa0183">More...</a><br /></td></tr>
+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a> ()</td></tr>
+<tr class="memdesc:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the adjoint value of this variable to 0.  <a href="#ab12bfdea5530029d862bdfa2ae9ead3d">More...</a><br /></td></tr>
+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-static-methods"></a>
+Static Protected Member Functions</h2></td></tr>
+<tr class="memitem:a4511b6d534c5adefb3bdf87fae8a87e6"><td class="memTemplParams" colspan="2">template&lt;typename Derived &gt; </td></tr>
+<tr class="memitem:a4511b6d534c5adefb3bdf87fae8a87e6"><td class="memTemplItemLeft" align="right" valign="top">static double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html#a4511b6d534c5adefb3bdf87fae8a87e6">sum_of_val</a> (const Eigen::DenseBase&lt; Derived &gt; &amp;v)</td></tr>
+<tr class="separator:a4511b6d534c5adefb3bdf87fae8a87e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pro_static_methods_classstan_1_1math_1_1sum__v__vari"><td colspan="2" onclick="javascript:toggleInherit('pro_static_methods_classstan_1_1math_1_1sum__v__vari')"><img src="closed.png" alt="-"/>&#160;Static Protected Member Functions inherited from <a class="el" href="classstan_1_1math_1_1sum__v__vari.html">stan::math::sum_v_vari</a></td></tr>
+<tr class="memitem:a4d9b8faedd6e0dcde4cbad57ebba2b11 inherit pro_static_methods_classstan_1_1math_1_1sum__v__vari"><td class="memItemLeft" align="right" valign="top">static double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a4d9b8faedd6e0dcde4cbad57ebba2b11">sum_of_val</a> (const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;v)</td></tr>
+<tr class="separator:a4d9b8faedd6e0dcde4cbad57ebba2b11 inherit pro_static_methods_classstan_1_1math_1_1sum__v__vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
+Additional Inherited Members</h2></td></tr>
+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a> (size_t nbytes)</td></tr>
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+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2sum_8hpp_source.html#l00017">17</a> of file <a class="el" href="rev_2mat_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1&gt; </div>
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+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::sum_eigen_v_vari::sum_eigen_v_vari </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2sum_8hpp_source.html#l00029">29</a> of file <a class="el" href="rev_2mat_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a4511b6d534c5adefb3bdf87fae8a87e6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Derived &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static double stan::math::sum_eigen_v_vari::sum_of_val </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::DenseBase&lt; Derived &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2sum_8hpp_source.html#l00020">20</a> of file <a class="el" href="rev_2mat_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/mat/fun/<a class="el" href="rev_2mat_2fun_2sum_8hpp_source.html">sum.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::sum_v_vari Member List</div>  </div>
+</div><!--header-->
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+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1sum__v__vari.html">stan::math::sum_v_vari</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html">sum_v_vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-static-methods">Static Protected Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1sum__v__vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::sum_v_vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Class for sums of variables constructed with standard vectors.  
+ <a href="classstan_1_1math_1_1sum__v__vari.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::sum_v_vari:</div>
+<div class="dyncontent">
+ <div class="center">
+  <img src="classstan_1_1math_1_1sum__v__vari.png" usemap="#stan::math::sum_v_vari_map" alt=""/>
+  <map id="stan::math::sum_v_vari_map" name="stan::math::sum_v_vari_map">
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+<area href="classstan_1_1math_1_1sum__eigen__v__vari.html" title="Class for representing sums with constructors for Eigen. " alt="stan::math::sum_eigen_v_vari" shape="rect" coords="0,112,176,136"/>
+</map>
+ </div></div>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ae9bf55b4be96685eaaa9bfefcbe23de9"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#ae9bf55b4be96685eaaa9bfefcbe23de9">sum_v_vari</a> (double value, <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> **v, size_t <a class="el" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>)</td></tr>
+<tr class="separator:ae9bf55b4be96685eaaa9bfefcbe23de9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a40d6b74038464b3734839e6df9077681"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a480eb0c5d04c92a3a4e28952ee14a4bb"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a480eb0c5d04c92a3a4e28952ee14a4bb">chain</a> ()</td></tr>
+<tr class="memdesc:a480eb0c5d04c92a3a4e28952ee14a4bb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#a480eb0c5d04c92a3a4e28952ee14a4bb">More...</a><br /></td></tr>
+<tr class="separator:a480eb0c5d04c92a3a4e28952ee14a4bb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a> ()</td></tr>
+<tr class="memdesc:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the adjoint for this (dependent) variable to 1.  <a href="#a5f18458dab300f020b4546d046fa0183">More...</a><br /></td></tr>
+<tr class="separator:a5f18458dab300f020b4546d046fa0183 inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the adjoint value of this variable to 0.  <a href="#ab12bfdea5530029d862bdfa2ae9ead3d">More...</a><br /></td></tr>
+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d inherit pub_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-static-methods"></a>
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+<tr class="memitem:a4d9b8faedd6e0dcde4cbad57ebba2b11"><td class="memItemLeft" align="right" valign="top">static double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a4d9b8faedd6e0dcde4cbad57ebba2b11">sum_of_val</a> (const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;v)</td></tr>
+<tr class="separator:a4d9b8faedd6e0dcde4cbad57ebba2b11"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:a02ca46a8d2ffc591718513c98c09c9b6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> **&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a02ca46a8d2ffc591718513c98c09c9b6">v_</a></td></tr>
+<tr class="separator:a02ca46a8d2ffc591718513c98c09c9b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af6d64dee35e248318e7335b4483157c0"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1sum__v__vari.html#af6d64dee35e248318e7335b4483157c0">length_</a></td></tr>
+<tr class="separator:af6d64dee35e248318e7335b4483157c0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
+Additional Inherited Members</h2></td></tr>
+<tr class="inherit_header pub_static_methods_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_static_methods_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Static Public Member Functions inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a> (size_t nbytes)</td></tr>
+<tr class="memdesc:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate memory from the underlying memory pool.  <a href="#a16101f22e0c7c0fb2aaa7bb79e83f260">More...</a><br /></td></tr>
+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260 inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a> (void *)</td></tr>
+<tr class="memdesc:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a pointer from the underlying memory pool.  <a href="#ad061c3e1e9172753fa54d57a9718b10c">More...</a><br /></td></tr>
+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c inherit pub_static_methods_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="inherit_header pub_attribs_classstan_1_1math_1_1vari"><td colspan="2" onclick="javascript:toggleInherit('pub_attribs_classstan_1_1math_1_1vari')"><img src="closed.png" alt="-"/>&#160;Public Attributes inherited from <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td></tr>
+<tr class="memitem:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td></tr>
+<tr class="memdesc:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of this variable.  <a href="#a5c8a37e50654a282308ddde46e68ede6">More...</a><br /></td></tr>
+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td></tr>
+<tr class="memdesc:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="mdescLeft">&#160;</td><td class="mdescRight">The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable.  <a href="#a53f635dd2454bc46335f3ad5bd172623">More...</a><br /></td></tr>
+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623 inherit pub_attribs_classstan_1_1math_1_1vari"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Class for sums of variables constructed with standard vectors. </p>
+<p>There's an extension for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrices. </p>
+
+<p>Definition at line <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html#l00014">14</a> of file <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ae9bf55b4be96685eaaa9bfefcbe23de9"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::sum_v_vari::sum_v_vari </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> **&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>length</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html#l00027">27</a> of file <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a40d6b74038464b3734839e6df9077681"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::sum_v_vari::sum_v_vari </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html#l00031">31</a> of file <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a480eb0c5d04c92a3a4e28952ee14a4bb"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">virtual void stan::math::sum_v_vari::chain </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">virtual</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Apply the chain rule to this variable based on the variables on which it depends. </p>
+<p>The base implementation in this class is a no-op. </p>
+
+<p>Reimplemented from <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">stan::math::vari</a>.</p>
+
+<p>Definition at line <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html#l00040">40</a> of file <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
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+<a class="anchor" id="a4d9b8faedd6e0dcde4cbad57ebba2b11"></a>
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+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static double stan::math::sum_v_vari::sum_of_val </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html#l00019">19</a> of file <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="af6d64dee35e248318e7335b4483157c0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::math::sum_v_vari::length_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html#l00017">17</a> of file <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a02ca46a8d2ffc591718513c98c09c9b6"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>** stan::math::sum_v_vari::v_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html#l00016">16</a> of file <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/arr/fun/<a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a></td><td class="entry"></td></tr>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1var.html">var</a></li>  </ul>
+</div>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
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+<a href="#friends">Friends</a> &#124;
+<a href="classstan_1_1math_1_1var-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::var Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Independent (input) and dependent (output) variables for gradients.  
+ <a href="classstan_1_1math_1_1var.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="var_8hpp_source.html">var.hpp</a>&gt;</code></p>
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+<tr class="separator:ae10b8ab6f35db859bc7b2831951944b4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:adee6abba4694821dd182f44657b53bca"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7366cb3fd02521783e25de7615a7d098"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#a7366cb3fd02521783e25de7615a7d098">adj</a> () const </td></tr>
+<tr class="memdesc:a7366cb3fd02521783e25de7615a7d098"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the derivative of the root expression with respect to this expression.  <a href="#a7366cb3fd02521783e25de7615a7d098">More...</a><br /></td></tr>
+<tr class="separator:a7366cb3fd02521783e25de7615a7d098"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afd46b70001b3e7d5de80a2883ba71fae"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#afd46b70001b3e7d5de80a2883ba71fae">grad</a> (std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;x, std::vector&lt; double &gt; &amp;g)</td></tr>
+<tr class="memdesc:afd46b70001b3e7d5de80a2883ba71fae"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the gradient of this (dependent) variable with respect to the specified vector of (independent) variables, assigning the specified vector to the gradient.  <a href="#afd46b70001b3e7d5de80a2883ba71fae">More...</a><br /></td></tr>
+<tr class="separator:afd46b70001b3e7d5de80a2883ba71fae"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1070c041b598347663bbff358cbc2d37"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#a1070c041b598347663bbff358cbc2d37">grad</a> ()</td></tr>
+<tr class="memdesc:a1070c041b598347663bbff358cbc2d37"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the gradient of this (dependent) variable with respect to all (independent) variables.  <a href="#a1070c041b598347663bbff358cbc2d37">More...</a><br /></td></tr>
+<tr class="separator:a1070c041b598347663bbff358cbc2d37"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7d48485af46f48f88abf8d8af40738a3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#a7d48485af46f48f88abf8d8af40738a3">operator*</a> ()</td></tr>
+<tr class="memdesc:a7d48485af46f48f88abf8d8af40738a3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to underlying implementation of this variable.  <a href="#a7d48485af46f48f88abf8d8af40738a3">More...</a><br /></td></tr>
+<tr class="separator:a7d48485af46f48f88abf8d8af40738a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acb10b163ad0fbc84829baed06ddda8e7"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#acb10b163ad0fbc84829baed06ddda8e7">operator-&gt;</a> ()</td></tr>
+<tr class="memdesc:acb10b163ad0fbc84829baed06ddda8e7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a pointer to the underlying implementation of this variable.  <a href="#acb10b163ad0fbc84829baed06ddda8e7">More...</a><br /></td></tr>
+<tr class="separator:acb10b163ad0fbc84829baed06ddda8e7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a87ea11fd8f1b21c7a79a849886839d54"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#a87ea11fd8f1b21c7a79a849886839d54">operator+=</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;b)</td></tr>
+<tr class="memdesc:a87ea11fd8f1b21c7a79a849886839d54"><td class="mdescLeft">&#160;</td><td class="mdescRight">The compound add/assignment operator for variables (C++).  <a href="#a87ea11fd8f1b21c7a79a849886839d54">More...</a><br /></td></tr>
+<tr class="separator:a87ea11fd8f1b21c7a79a849886839d54"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afc6f49ac3b8054a323c9cd6e051c25c1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#afc6f49ac3b8054a323c9cd6e051c25c1">operator+=</a> (const double b)</td></tr>
+<tr class="memdesc:afc6f49ac3b8054a323c9cd6e051c25c1"><td class="mdescLeft">&#160;</td><td class="mdescRight">The compound add/assignment operator for scalars (C++).  <a href="#afc6f49ac3b8054a323c9cd6e051c25c1">More...</a><br /></td></tr>
+<tr class="separator:afc6f49ac3b8054a323c9cd6e051c25c1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8892192fd51894b90e59a213fe02aeb9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#a8892192fd51894b90e59a213fe02aeb9">operator-=</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;b)</td></tr>
+<tr class="memdesc:a8892192fd51894b90e59a213fe02aeb9"><td class="mdescLeft">&#160;</td><td class="mdescRight">The compound subtract/assignment operator for variables (C++).  <a href="#a8892192fd51894b90e59a213fe02aeb9">More...</a><br /></td></tr>
+<tr class="separator:a8892192fd51894b90e59a213fe02aeb9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a64099b5dc9c4df90b81b2ac28158a3d1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#a64099b5dc9c4df90b81b2ac28158a3d1">operator-=</a> (const double b)</td></tr>
+<tr class="memdesc:a64099b5dc9c4df90b81b2ac28158a3d1"><td class="mdescLeft">&#160;</td><td class="mdescRight">The compound subtract/assignment operator for scalars (C++).  <a href="#a64099b5dc9c4df90b81b2ac28158a3d1">More...</a><br /></td></tr>
+<tr class="separator:a64099b5dc9c4df90b81b2ac28158a3d1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a80bc83a2b3ab358f9f1df08203505e23"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#a80bc83a2b3ab358f9f1df08203505e23">operator*=</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;b)</td></tr>
+<tr class="memdesc:a80bc83a2b3ab358f9f1df08203505e23"><td class="mdescLeft">&#160;</td><td class="mdescRight">The compound multiply/assignment operator for variables (C++).  <a href="#a80bc83a2b3ab358f9f1df08203505e23">More...</a><br /></td></tr>
+<tr class="separator:a80bc83a2b3ab358f9f1df08203505e23"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:affbb26eba0c14f42c4d70c98c4b40dae"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#affbb26eba0c14f42c4d70c98c4b40dae">operator*=</a> (const double b)</td></tr>
+<tr class="memdesc:affbb26eba0c14f42c4d70c98c4b40dae"><td class="mdescLeft">&#160;</td><td class="mdescRight">The compound multiply/assignment operator for scalars (C++).  <a href="#affbb26eba0c14f42c4d70c98c4b40dae">More...</a><br /></td></tr>
+<tr class="separator:affbb26eba0c14f42c4d70c98c4b40dae"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa158a69964d0f86042daa3e279ecff3f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#aa158a69964d0f86042daa3e279ecff3f">operator/=</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;b)</td></tr>
+<tr class="memdesc:aa158a69964d0f86042daa3e279ecff3f"><td class="mdescLeft">&#160;</td><td class="mdescRight">The compound divide/assignment operator for variables (C++).  <a href="#aa158a69964d0f86042daa3e279ecff3f">More...</a><br /></td></tr>
+<tr class="separator:aa158a69964d0f86042daa3e279ecff3f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aed7f04ab2dbd9f847a6ed68bf845c052"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#aed7f04ab2dbd9f847a6ed68bf845c052">operator/=</a> (const double b)</td></tr>
+<tr class="memdesc:aed7f04ab2dbd9f847a6ed68bf845c052"><td class="mdescLeft">&#160;</td><td class="mdescRight">The compound divide/assignment operator for scalars (C++).  <a href="#aed7f04ab2dbd9f847a6ed68bf845c052">More...</a><br /></td></tr>
+<tr class="separator:aed7f04ab2dbd9f847a6ed68bf845c052"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:a179b1c61bcd82f0e6c1d109c07ae8e40"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a></td></tr>
+<tr class="memdesc:a179b1c61bcd82f0e6c1d109c07ae8e40"><td class="mdescLeft">&#160;</td><td class="mdescRight">Pointer to the implementation of this variable.  <a href="#a179b1c61bcd82f0e6c1d109c07ae8e40">More...</a><br /></td></tr>
+<tr class="separator:a179b1c61bcd82f0e6c1d109c07ae8e40"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="friends"></a>
+Friends</h2></td></tr>
+<tr class="memitem:a3545860122fa159c57e23dd0fbfbf5cd"><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html#a3545860122fa159c57e23dd0fbfbf5cd">operator&lt;&lt;</a> (std::ostream &amp;os, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;v)</td></tr>
+<tr class="memdesc:a3545860122fa159c57e23dd0fbfbf5cd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write the value of this auto-dif variable and its adjoint to the specified output stream.  <a href="#a3545860122fa159c57e23dd0fbfbf5cd">More...</a><br /></td></tr>
+<tr class="separator:a3545860122fa159c57e23dd0fbfbf5cd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Independent (input) and dependent (output) variables for gradients. </p>
+<p>This class acts as a smart pointer, with resources managed by an agenda-based memory manager scoped to a single gradient calculation.</p>
+<p>An var is constructed with a double and used like any other scalar. Arithmetical functions like negation, addition, and subtraction, as well as a range of mathematical functions like exponentiation and powers are overridden to operate on var values objects. </p>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00031">31</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a14e688944f813cad7d31888dbe2854a9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef double <a class="el" href="classstan_1_1math_1_1var.html#a14e688944f813cad7d31888dbe2854a9">stan::math::var::Scalar</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00034">34</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="aad7dd38f48c59f9b59d7f2caa7dcc055"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable for later assignment. </p>
+<p>This is implemented as a no-op, leaving the underlying implementation dangling. Before an assignment, the behavior is thus undefined just as for a basic double. </p>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00065">65</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac9dad7e9936150e2d082ab2eb9d07a85"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>vi</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from a pointer to a variable implementation. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">vi</td><td>Variable implementation. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00073">73</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6405710a647d0a5f20b07aa1a41e1b6b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">float&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument cast to <code>double</code>, and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00082">82</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a59212fe7f7b20ff643dde22074689ef1"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument as a value and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00091">91</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6a333a82fd608b913a239c03272b5b56"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">long double&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument cast to <code>double</code>, and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00100">100</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ada48c7523cc13f19ff07d14a412b1d2b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">bool&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument cast to <code>double</code>, and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00109">109</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac22e5b84ff8e7934036e7d4fa89c3f14"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">char&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument cast to <code>double</code>, and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00118">118</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a55ae61a2ae50220be00395aea1c51bfa"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">short&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument cast to <code>double</code>, and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00127">127</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1c27d331050539ab689e8d0dae743e51"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument cast to <code>double</code>, and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00136">136</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a755001ff6e4f8500f90106b526a2d62b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">long&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument cast to <code>double</code>, and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00145">145</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa19a6ef61012fe9a611b86c5c5df0841"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">unsigned char&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument cast to <code>double</code>, and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00154">154</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad8c38d414a8bccbb0761aea7a3d64612"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">unsigned short&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument cast to <code>double</code>, and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00164">164</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae10b8ab6f35db859bc7b2831951944b4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">unsigned int&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument cast to <code>double</code>, and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00173">173</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aba2a77edbec7e11956c29283f1e50fc0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::var::var </td>
+          <td>(</td>
+          <td class="paramtype">unsigned long&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable from the specified arithmetic argument by constructing a new <code>vari</code> with the argument cast to <code>double</code>, and a zero adjoint. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00183">183</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a7366cb3fd02521783e25de7615a7d098"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::var::adj </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the derivative of the root expression with respect to this expression. </p>
+<p>This method only works after one of the <code><a class="el" href="classstan_1_1math_1_1var.html#a1070c041b598347663bbff358cbc2d37" title="Compute the gradient of this (dependent) variable with respect to all (independent) variables...">grad()</a></code> methods has been called.</p>
+<dl class="section return"><dt>Returns</dt><dd>Adjoint for this variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00245">245</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd46b70001b3e7d5de80a2883ba71fae"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::var::grad </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>g</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Compute the gradient of this (dependent) variable with respect to the specified vector of (independent) variables, assigning the specified vector to the gradient. </p>
+<p>The <a class="el" href="classstan_1_1math_1_1var.html#a1070c041b598347663bbff358cbc2d37" title="Compute the gradient of this (dependent) variable with respect to all (independent) variables...">grad()</a> function does <em>not</em> recover memory. In Stan 2.4 and earlier, this function did recover memory.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector of independent variables. </td></tr>
+    <tr><td class="paramname">g</td><td>Gradient vector of partial derivatives of this variable with respect to x. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00261">261</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1070c041b598347663bbff358cbc2d37"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::var::grad </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Compute the gradient of this (dependent) variable with respect to all (independent) variables. </p>
+<p>The <a class="el" href="classstan_1_1math_1_1var.html#a1070c041b598347663bbff358cbc2d37" title="Compute the gradient of this (dependent) variable with respect to all (independent) variables...">grad()</a> function does <em>not</em> recover memory. </p>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00275">275</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a255e54d15bd3bda71d3e86ce19bc40ce"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::var::is_uninitialized </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if this variable has been declared, but not been defined. </p>
+<p>Any attempt to use an undefined variable's value or adjoint will result in a segmentation fault.</p>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if this variable does not yet have a defined variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00054">54</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7d48485af46f48f88abf8d8af40738a3"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>&amp; stan::math::var::operator* </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to underlying implementation of this variable. </p>
+<p>If <code>x</code> is of type <code>var</code>, then applying this operator, <code>*x</code>, has the same behavior as <code>*(x.vi_)</code>.</p>
+<p><em>Warning</em>: The returned reference does not track changes to this variable.</p>
+<dl class="section return"><dt>Returns</dt><dd>variable </dd></dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00293">293</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a80bc83a2b3ab358f9f1df08203505e23"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp; stan::math::var::operator*= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The compound multiply/assignment operator for variables (C++). </p>
+<p>If this variable is a and the argument is the variable b, then (a *= b) behaves exactly the same way as (a = a * b). Note that the result is an assignable lvalue.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">b</td><td>The variable to multiply this variable by. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The result of multiplying this variable by the specified variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__multiply__equal_8hpp_source.html#l00010">10</a> of file <a class="el" href="operator__multiply__equal_8hpp_source.html">operator_multiply_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="affbb26eba0c14f42c4d70c98c4b40dae"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp; stan::math::var::operator*= </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The compound multiply/assignment operator for scalars (C++). </p>
+<p>If this variable is a and the argument is the scalar b, then (a *= b) behaves exactly the same way as (a = a * b). Note that the result is an assignable lvalue.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">b</td><td>The scalar to multiply this variable by. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The result of multplying this variable by the specified variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__multiply__equal_8hpp_source.html#l00015">15</a> of file <a class="el" href="operator__multiply__equal_8hpp_source.html">operator_multiply_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a87ea11fd8f1b21c7a79a849886839d54"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp; stan::math::var::operator+= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The compound add/assignment operator for variables (C++). </p>
+<p>If this variable is a and the argument is the variable b, then (a += b) behaves exactly the same way as (a = a + b), creating an intermediate variable representing (a + b).</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">b</td><td>The variable to add to this variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The result of adding the specified variable to this variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__plus__equal_8hpp_source.html#l00010">10</a> of file <a class="el" href="operator__plus__equal_8hpp_source.html">operator_plus_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afc6f49ac3b8054a323c9cd6e051c25c1"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp; stan::math::var::operator+= </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The compound add/assignment operator for scalars (C++). </p>
+<p>If this variable is a and the argument is the scalar b, then (a += b) behaves exactly the same way as (a = a + b). Note that the result is an assignable lvalue.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">b</td><td>The scalar to add to this variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The result of adding the specified variable to this variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__plus__equal_8hpp_source.html#l00015">15</a> of file <a class="el" href="operator__plus__equal_8hpp_source.html">operator_plus_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8892192fd51894b90e59a213fe02aeb9"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp; stan::math::var::operator-= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The compound subtract/assignment operator for variables (C++). </p>
+<p>If this variable is a and the argument is the variable b, then (a -= b) behaves exactly the same way as (a = a - b). Note that the result is an assignable lvalue.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">b</td><td>The variable to subtract from this variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The result of subtracting the specified variable from this variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__minus__equal_8hpp_source.html#l00010">10</a> of file <a class="el" href="operator__minus__equal_8hpp_source.html">operator_minus_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a64099b5dc9c4df90b81b2ac28158a3d1"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp; stan::math::var::operator-= </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The compound subtract/assignment operator for scalars (C++). </p>
+<p>If this variable is a and the argument is the scalar b, then (a -= b) behaves exactly the same way as (a = a - b). Note that the result is an assignable lvalue.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">b</td><td>The scalar to subtract from this variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The result of subtracting the specified variable from this variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__minus__equal_8hpp_source.html#l00015">15</a> of file <a class="el" href="operator__minus__equal_8hpp_source.html">operator_minus_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acb10b163ad0fbc84829baed06ddda8e7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::var::operator-&gt; </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a pointer to the underlying implementation of this variable. </p>
+<p>If <code>x</code> is of type <code>var</code>, then applying this operator, <code>x-&gt;</code>, behaves the same way as <code>x.vi_-&gt;</code>.</p>
+<p><em>Warning</em>: The returned result does not track changes to this variable. </p>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00307">307</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa158a69964d0f86042daa3e279ecff3f"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp; stan::math::var::operator/= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The compound divide/assignment operator for variables (C++). </p>
+<p>If this variable is a and the argument is the variable b, then (a /= b) behaves exactly the same way as (a = a / b). Note that the result is an assignable lvalue.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">b</td><td>The variable to divide this variable by. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The result of dividing this variable by the specified variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__divide__equal_8hpp_source.html#l00010">10</a> of file <a class="el" href="operator__divide__equal_8hpp_source.html">operator_divide_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aed7f04ab2dbd9f847a6ed68bf845c052"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp; stan::math::var::operator/= </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The compound divide/assignment operator for scalars (C++). </p>
+<p>If this variable is a and the argument is the scalar b, then (a /= b) behaves exactly the same way as (a = a / b). Note that the result is an assignable lvalue.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">b</td><td>The scalar to divide this variable by. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The result of dividing this variable by the specified variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__divide__equal_8hpp_source.html#l00015">15</a> of file <a class="el" href="operator__divide__equal_8hpp_source.html">operator_divide_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adee6abba4694821dd182f44657b53bca"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::var::val </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of this variable. </p>
+<dl class="section return"><dt>Returns</dt><dd>The value of this variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00233">233</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Friends And Related Function Documentation</h2>
+<a class="anchor" id="a3545860122fa159c57e23dd0fbfbf5cd"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::ostream&amp; operator&lt;&lt; </td>
+          <td>(</td>
+          <td class="paramtype">std::ostream &amp;&#160;</td>
+          <td class="paramname"><em>os</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">friend</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Write the value of this auto-dif variable and its adjoint to the specified output stream. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">os</td><td>Output stream to which to write. </td></tr>
+    <tr><td class="paramname">v</td><td>Variable to write. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Reference to the specified output stream. </dd></dl>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00422">422</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a179b1c61bcd82f0e6c1d109c07ae8e40"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a>* stan::math::var::vi_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Pointer to the implementation of this variable. </p>
+<p>This value should not be modified, but may be accessed in <code>var</code> operators to construct <code>vari</code> instances. </p>
+
+<p>Definition at line <a class="el" href="var_8hpp_source.html#l00043">43</a> of file <a class="el" href="var_8hpp_source.html">var.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following files:<ul>
+<li>stan/math/rev/core/<a class="el" href="var_8hpp_source.html">var.hpp</a></li>
+<li>stan/math/rev/core/<a class="el" href="operator__divide__equal_8hpp_source.html">operator_divide_equal.hpp</a></li>
+<li>stan/math/rev/core/<a class="el" href="operator__minus__equal_8hpp_source.html">operator_minus_equal.hpp</a></li>
+<li>stan/math/rev/core/<a class="el" href="operator__multiply__equal_8hpp_source.html">operator_multiply_equal.hpp</a></li>
+<li>stan/math/rev/core/<a class="el" href="operator__plus__equal_8hpp_source.html">operator_plus_equal.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+ </tbody>
+</table>
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
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+    </ul>
+  </div>
+<!-- window showing the filter options -->
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+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::vari Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a>(void *)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a>(size_t nbytes)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abd24d4e4eb6b0c65c8447bd2cc73b200">operator&lt;&lt;</a>(std::ostream &amp;os, const vari *v)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">friend</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#afc150fe027cd12dd501a9d615a787f19">var</a> class</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">friend</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(const double x)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a>(const double x, bool stacked)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1vari.html">stan::math::vari</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">virtual</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+</div>
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+<a href="#pub-methods">Public Member Functions</a> &#124;
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+<a href="#friends">Friends</a> &#124;
+<a href="classstan_1_1math_1_1vari-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::vari Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>The variable implementation base class.  
+ <a href="classstan_1_1math_1_1vari.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="vari_8hpp_source.html">vari.hpp</a>&gt;</code></p>
+<div class="dynheader">
+Inheritance diagram for stan::math::vari:</div>
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a2592847e55b538d33c224023f22f0a5c"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a> (const double x)</td></tr>
+<tr class="memdesc:a2592847e55b538d33c224023f22f0a5c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a variable implementation from a value.  <a href="#a2592847e55b538d33c224023f22f0a5c">More...</a><br /></td></tr>
+<tr class="separator:a2592847e55b538d33c224023f22f0a5c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abe25e7905dc011cee38d7df47f6917f0"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#abe25e7905dc011cee38d7df47f6917f0">vari</a> (const double x, bool stacked)</td></tr>
+<tr class="separator:abe25e7905dc011cee38d7df47f6917f0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a14e0658a14d11a99e69f6d16f119bbf8"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">~vari</a> ()</td></tr>
+<tr class="memdesc:a14e0658a14d11a99e69f6d16f119bbf8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an illegal argument exception.  <a href="#a14e0658a14d11a99e69f6d16f119bbf8">More...</a><br /></td></tr>
+<tr class="separator:a14e0658a14d11a99e69f6d16f119bbf8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a49e7e163a7f36e485e86e79d800ba04f"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">chain</a> ()</td></tr>
+<tr class="memdesc:a49e7e163a7f36e485e86e79d800ba04f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the chain rule to this variable based on the variables on which it depends.  <a href="#a49e7e163a7f36e485e86e79d800ba04f">More...</a><br /></td></tr>
+<tr class="separator:a49e7e163a7f36e485e86e79d800ba04f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5f18458dab300f020b4546d046fa0183"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">init_dependent</a> ()</td></tr>
+<tr class="memdesc:a5f18458dab300f020b4546d046fa0183"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the adjoint for this (dependent) variable to 1.  <a href="#a5f18458dab300f020b4546d046fa0183">More...</a><br /></td></tr>
+<tr class="separator:a5f18458dab300f020b4546d046fa0183"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab12bfdea5530029d862bdfa2ae9ead3d"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a> ()</td></tr>
+<tr class="memdesc:ab12bfdea5530029d862bdfa2ae9ead3d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Set the adjoint value of this variable to 0.  <a href="#ab12bfdea5530029d862bdfa2ae9ead3d">More...</a><br /></td></tr>
+<tr class="separator:ab12bfdea5530029d862bdfa2ae9ead3d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a16101f22e0c7c0fb2aaa7bb79e83f260"><td class="memItemLeft" align="right" valign="top">static void *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">operator new</a> (size_t nbytes)</td></tr>
+<tr class="memdesc:a16101f22e0c7c0fb2aaa7bb79e83f260"><td class="mdescLeft">&#160;</td><td class="mdescRight">Allocate memory from the underlying memory pool.  <a href="#a16101f22e0c7c0fb2aaa7bb79e83f260">More...</a><br /></td></tr>
+<tr class="separator:a16101f22e0c7c0fb2aaa7bb79e83f260"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad061c3e1e9172753fa54d57a9718b10c"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">operator delete</a> (void *)</td></tr>
+<tr class="memdesc:ad061c3e1e9172753fa54d57a9718b10c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Delete a pointer from the underlying memory pool.  <a href="#ad061c3e1e9172753fa54d57a9718b10c">More...</a><br /></td></tr>
+<tr class="separator:ad061c3e1e9172753fa54d57a9718b10c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:a5c8a37e50654a282308ddde46e68ede6"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a></td></tr>
+<tr class="memdesc:a5c8a37e50654a282308ddde46e68ede6"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of this variable.  <a href="#a5c8a37e50654a282308ddde46e68ede6">More...</a><br /></td></tr>
+<tr class="separator:a5c8a37e50654a282308ddde46e68ede6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53f635dd2454bc46335f3ad5bd172623"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a></td></tr>
+<tr class="memdesc:a53f635dd2454bc46335f3ad5bd172623"><td class="mdescLeft">&#160;</td><td class="mdescRight">The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable.  <a href="#a53f635dd2454bc46335f3ad5bd172623">More...</a><br /></td></tr>
+<tr class="separator:a53f635dd2454bc46335f3ad5bd172623"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="friends"></a>
+Friends</h2></td></tr>
+<tr class="memitem:afc150fe027cd12dd501a9d615a787f19"><td class="memItemLeft" align="right" valign="top">class&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#afc150fe027cd12dd501a9d615a787f19">var</a></td></tr>
+<tr class="separator:afc150fe027cd12dd501a9d615a787f19"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abd24d4e4eb6b0c65c8447bd2cc73b200"><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1vari.html#abd24d4e4eb6b0c65c8447bd2cc73b200">operator&lt;&lt;</a> (std::ostream &amp;os, const <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *v)</td></tr>
+<tr class="memdesc:abd24d4e4eb6b0c65c8447bd2cc73b200"><td class="mdescLeft">&#160;</td><td class="mdescRight">Insertion operator for vari.  <a href="#abd24d4e4eb6b0c65c8447bd2cc73b200">More...</a><br /></td></tr>
+<tr class="separator:abd24d4e4eb6b0c65c8447bd2cc73b200"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>The variable implementation base class. </p>
+<p>This class is complete (not abstract) and may be used for constants.</p>
+<p>A variable implementation is constructed with a constant value. It also stores the adjoint for storing the partial derivative with respect to the root of the derivative tree.</p>
+<p>The <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f" title="Apply the chain rule to this variable based on the variables on which it depends. ...">chain()</a> method applies the chain rule. Concrete extensions of this class will represent base variables or the result of operations such as addition or subtraction. These extended classes will store operand variables and propagate derivative information via an implementation of <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f" title="Apply the chain rule to this variable based on the variables on which it depends. ...">chain()</a>. </p>
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00030">30</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a2592847e55b538d33c224023f22f0a5c"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::vari::vari </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a variable implementation from a value. </p>
+<p>The adjoint is initialized to zero.</p>
+<p>All constructed variables are added to the stack. Variables should be constructed before variables on which they depend to insure proper partial derivative propagation. During derivative propagation, the <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f" title="Apply the chain rule to this variable based on the variables on which it depends. ...">chain()</a> method of each variable will be called in the reverse order of construction.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value of the constructed variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00058">58</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abe25e7905dc011cee38d7df47f6917f0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::vari::vari </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">bool&#160;</td>
+          <td class="paramname"><em>stacked</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00064">64</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a14e0658a14d11a99e69f6d16f119bbf8"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">virtual stan::math::vari::~vari </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">virtual</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Throw an illegal argument exception. </p>
+<p><em>Warning</em>: Destructors should never called for var objects.</p>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">Logic</td><td>exception always. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00080">80</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a49e7e163a7f36e485e86e79d800ba04f"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">virtual void stan::math::vari::chain </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">virtual</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Apply the chain rule to this variable based on the variables on which it depends. </p>
+<p>The base implementation in this class is a no-op. </p>
+
+<p>Reimplemented in <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#a3fdc12d96fed2ae97bc8b6d90c117d1e">stan::math::precomputed_gradients_vari</a>, <a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#aab81d9945c0a4aaa2ea3c8d1888e2b81">stan::math::cholesky_decompose_v_vari</a>, <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a832278a4273ca489bc52148d6300b638">stan::math::stored_gradient_vari</a>, <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#aa0e048f3021fa5bd5b4e20152ab0c77d">stan::math::gevv_vvv_vari</a>, <a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a480eb0c5d04c92a3a4e28952ee14a4bb">stan::math::sum_v_vari</a>, <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#a2e4939dbd5afb15e897f7af7dfa72640">stan::math::precomp_vvv_vari</a>, <a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#ad3a8d46be2b9b6b8947953d3f537cc4c">stan::math::precomp_vv_vari</a>, and <a class="el" href="classstan_1_1math_1_1precomp__v__vari.html#a1ea984c684b3bc8a368c9554d9f0625b">stan::math::precomp_v_vari</a>.</p>
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00089">89</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5f18458dab300f020b4546d046fa0183"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::vari::init_dependent </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Initialize the adjoint for this (dependent) variable to 1. </p>
+<p>This operation is applied to the dependent variable before propagating derivatives, setting the derivative of the result with respect to itself to be 1. </p>
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00098">98</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad061c3e1e9172753fa54d57a9718b10c"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void stan::math::vari::operator delete </td>
+          <td>(</td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Delete a pointer from the underlying memory pool. </p>
+<p>This no-op implementation enables a subclass to throw exceptions in its constructor. An exception thrown in the constructor of a subclass will result in an error being raised, which is in turn caught and calls delete().</p>
+<p>See the discussion of "plugging the memory leak" in: <a href="http://www.parashift.com/c++-faq/memory-pools.html">http://www.parashift.com/c++-faq/memory-pools.html</a> </p>
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00149">149</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a16101f22e0c7c0fb2aaa7bb79e83f260"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void* stan::math::vari::operator new </td>
+          <td>(</td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>nbytes</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Allocate memory from the underlying memory pool. </p>
+<p>This memory is is managed as a whole externally.</p>
+<p>Warning: Classes should not be allocated with this operator if they have non-trivial destructors.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">nbytes</td><td>Number of bytes to allocate. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Pointer to allocated bytes. </dd></dl>
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00134">134</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab12bfdea5530029d862bdfa2ae9ead3d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::vari::set_zero_adjoint </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Set the adjoint value of this variable to 0. </p>
+<p>This is used to reset adjoints before propagating derivatives again (for example in a Jacobian calculation). </p>
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00107">107</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Friends And Related Function Documentation</h2>
+<a class="anchor" id="abd24d4e4eb6b0c65c8447bd2cc73b200"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::ostream&amp; operator&lt;&lt; </td>
+          <td>(</td>
+          <td class="paramtype">std::ostream &amp;&#160;</td>
+          <td class="paramname"><em>os</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">friend</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Insertion operator for vari. </p>
+<p>Prints the current value and the adjoint value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">os</td><td>[in, out] ostream to modify </td></tr>
+    <tr><td class="paramname">v</td><td>[in] vari object to print.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The modified ostream. </dd></dl>
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00120">120</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afc150fe027cd12dd501a9d615a787f19"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">friend class <a class="el" href="classstan_1_1math_1_1var.html">var</a></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">friend</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00032">32</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a53f635dd2454bc46335f3ad5bd172623"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::vari::adj_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The adjoint of this variable, which is the partial derivative of this variable with respect to the root variable. </p>
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00044">44</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5c8a37e50654a282308ddde46e68ede6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::vari::val_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The value of this variable. </p>
+
+<p>Definition at line <a class="el" href="vari_8hpp_source.html#l00038">38</a> of file <a class="el" href="vari_8hpp_source.html">vari.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="vari_8hpp_source.html">vari.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html">welford_covar_estimator</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1welford__covar__estimator-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::welford_covar_estimator Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="welford__covar__estimator_8hpp_source.html">welford_covar_estimator.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a91b414e3472b5a9d83be8caca053b933"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a91b414e3472b5a9d83be8caca053b933">welford_covar_estimator</a> (int n)</td></tr>
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+<tr class="memitem:a48b13f8f23644e2a35c64f34ee5b97bc"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a48b13f8f23644e2a35c64f34ee5b97bc">add_sample</a> (const Eigen::VectorXd &amp;q)</td></tr>
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+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
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+<tr class="memitem:a5f7ae37d6344c34adf7ec26359540a49"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a5f7ae37d6344c34adf7ec26359540a49">_num_samples</a></td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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+<p>Definition at line <a class="el" href="welford__covar__estimator_8hpp_source.html#l00011">11</a> of file <a class="el" href="welford__covar__estimator_8hpp_source.html">welford_covar_estimator.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a91b414e3472b5a9d83be8caca053b933"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
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+
+</div>
+</div>
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+<div class="memitem">
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+          <td class="paramname"><em>q</em></td><td>)</td>
+          <td></td>
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+
+<p>Definition at line <a class="el" href="welford__covar__estimator_8hpp_source.html#l00025">25</a> of file <a class="el" href="welford__covar__estimator_8hpp_source.html">welford_covar_estimator.hpp</a>.</p>
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+          <td class="paramname"></td><td>)</td>
+          <td></td>
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+          <td></td>
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+<p>Definition at line <a class="el" href="welford__covar__estimator_8hpp_source.html#l00037">37</a> of file <a class="el" href="welford__covar__estimator_8hpp_source.html">welford_covar_estimator.hpp</a>.</p>
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+          <td>(</td>
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+
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+<p>Definition at line <a class="el" href="welford__covar__estimator_8hpp_source.html#l00045">45</a> of file <a class="el" href="welford__covar__estimator_8hpp_source.html">welford_covar_estimator.hpp</a>.</p>
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+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+<p>Definition at line <a class="el" href="welford__covar__estimator_8hpp_source.html#l00046">46</a> of file <a class="el" href="welford__covar__estimator_8hpp_source.html">welford_covar_estimator.hpp</a>.</p>
+
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+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::welford_covar_estimator::_num_samples</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="welford__covar__estimator_8hpp_source.html#l00043">43</a> of file <a class="el" href="welford__covar__estimator_8hpp_source.html">welford_covar_estimator.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="welford__covar__estimator_8hpp_source.html">welford_covar_estimator.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+<div class="header">
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+<div class="title">stan::math::welford_var_estimator Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html">stan::math::welford_var_estimator</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#a6bf443dd58713599fdfa6dcdd2cede20">_m2</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html">stan::math::welford_var_estimator</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">_num_samples</a></td><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html">stan::math::welford_var_estimator</a></td><td class="entry"><span class="mlabel">protected</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#ab06deee0c1f179a87969e2a2e76599fd">add_sample</a>(const Eigen::VectorXd &amp;q)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html">stan::math::welford_var_estimator</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aec56710e92822346d88c9560e89bac31">num_samples</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html">stan::math::welford_var_estimator</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#a8fe05482776782589809b802b12c1ce8">restart</a>()</td><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html">stan::math::welford_var_estimator</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aeee360036653a776666878188a4a15a0">sample_mean</a>(Eigen::VectorXd &amp;mean)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html">stan::math::welford_var_estimator</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#a9dcda25a6b3ee85b207fb2b4975faa08">sample_variance</a>(Eigen::VectorXd &amp;var)</td><td class="entry"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html">stan::math::welford_var_estimator</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+</table></div><!-- contents -->
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html">welford_var_estimator</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pro-attribs">Protected Attributes</a> &#124;
+<a href="classstan_1_1math_1_1welford__var__estimator-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::welford_var_estimator Class Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a6fbed26e157b497f90f22d6a4fa08f50"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#a6fbed26e157b497f90f22d6a4fa08f50">welford_var_estimator</a> (int n)</td></tr>
+<tr class="separator:a6fbed26e157b497f90f22d6a4fa08f50"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8fe05482776782589809b802b12c1ce8"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#a8fe05482776782589809b802b12c1ce8">restart</a> ()</td></tr>
+<tr class="separator:a8fe05482776782589809b802b12c1ce8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab06deee0c1f179a87969e2a2e76599fd"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#ab06deee0c1f179a87969e2a2e76599fd">add_sample</a> (const Eigen::VectorXd &amp;q)</td></tr>
+<tr class="separator:ab06deee0c1f179a87969e2a2e76599fd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aec56710e92822346d88c9560e89bac31"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aec56710e92822346d88c9560e89bac31">num_samples</a> ()</td></tr>
+<tr class="separator:aec56710e92822346d88c9560e89bac31"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aeee360036653a776666878188a4a15a0"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aeee360036653a776666878188a4a15a0">sample_mean</a> (Eigen::VectorXd &amp;<a class="el" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">mean</a>)</td></tr>
+<tr class="separator:aeee360036653a776666878188a4a15a0"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a9dcda25a6b3ee85b207fb2b4975faa08"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
+Protected Attributes</h2></td></tr>
+<tr class="memitem:aea7b1397020cfbca06379e8bb1e1b420"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">_num_samples</a></td></tr>
+<tr class="separator:aea7b1397020cfbca06379e8bb1e1b420"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa9b83535c85f9f7d70dab642ae6d5e42"><td class="memItemLeft" align="right" valign="top">Eigen::VectorXd&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">_m</a></td></tr>
+<tr class="separator:aa9b83535c85f9f7d70dab642ae6d5e42"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a6bf443dd58713599fdfa6dcdd2cede20"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="welford__var__estimator_8hpp_source.html#l00011">11</a> of file <a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a6fbed26e157b497f90f22d6a4fa08f50"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::welford_var_estimator::welford_var_estimator </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="welford__var__estimator_8hpp_source.html#l00013">13</a> of file <a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="ab06deee0c1f179a87969e2a2e76599fd"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::welford_var_estimator::add_sample </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::VectorXd &amp;&#160;</td>
+          <td class="paramname"><em>q</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="welford__var__estimator_8hpp_source.html#l00025">25</a> of file <a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aec56710e92822346d88c9560e89bac31"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::welford_var_estimator::num_samples </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="welford__var__estimator_8hpp_source.html#l00033">33</a> of file <a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8fe05482776782589809b802b12c1ce8"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::welford_var_estimator::restart </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="welford__var__estimator_8hpp_source.html#l00019">19</a> of file <a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeee360036653a776666878188a4a15a0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::welford_var_estimator::sample_mean </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::VectorXd &amp;&#160;</td>
+          <td class="paramname"><em>mean</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="welford__var__estimator_8hpp_source.html#l00035">35</a> of file <a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9dcda25a6b3ee85b207fb2b4975faa08"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::welford_var_estimator::sample_variance </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::VectorXd &amp;&#160;</td>
+          <td class="paramname"><em>var</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="welford__var__estimator_8hpp_source.html#l00037">37</a> of file <a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="aa9b83535c85f9f7d70dab642ae6d5e42"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::VectorXd stan::math::welford_var_estimator::_m</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="welford__var__estimator_8hpp_source.html#l00045">45</a> of file <a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a>.</p>
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+<a class="anchor" id="a6bf443dd58713599fdfa6dcdd2cede20"></a>
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+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="welford__var__estimator_8hpp_source.html#l00046">46</a> of file <a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a>.</p>
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+          <td class="memname">double stan::math::welford_var_estimator::_num_samples</td>
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+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">protected</span></span>  </td>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="welford__var__estimator_8hpp_source.html#l00043">43</a> of file <a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this class was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="welford__var__estimator_8hpp_source.html">welford_var_estimator.hpp</a></li>
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+</div><!-- contents -->
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__column__index_8hpp_source.html">stan/math/prim/mat/err/check_column_index.hpp</a>&gt;</code><br />
+</div>
+<p><a href="col_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a3d822499055d9eefe6cd543ad06e1d3b"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3d822499055d9eefe6cd543ad06e1d3b">stan::math::col</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m, size_t j)</td></tr>
+<tr class="memdesc:a3d822499055d9eefe6cd543ad06e1d3b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified column of the specified matrix using start-at-1 indexing.  <a href="namespacestan_1_1math.html#a3d822499055d9eefe6cd543ad06e1d3b">More...</a><br /></td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<a href="col_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_COL_HPP</span></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="cols_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a0798f82fcc76f547303e77224fa25025"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a0798f82fcc76f547303e77224fa25025"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">stan::math::cols</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:a0798f82fcc76f547303e77224fa25025"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the number of columns in the specified matrix, vector, or row vector.  <a href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">More...</a><br /></td></tr>
+<tr class="separator:a0798f82fcc76f547303e77224fa25025"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">   20</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, R, C&gt;&amp; m) {</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0798f82fcc76f547303e77224fa25025"><div class="ttname"><a href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">stan::math::cols</a></div><div class="ttdeci">int cols(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdoc">Return the number of columns in the specified matrix, vector, or row vector. </div><div class="ttdef"><b>Definition:</b> <a href="cols_8hpp_source.html#l00020">cols.hpp:20</a></div></div>
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+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
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+<p><a href="common__type_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1common__type_3_01std_1_1vector_3_01_t1_01_4_00_01std_1_1vector_3_01_t2_01_4_01_4.html">stan::math::common_type&lt; std::vector&lt; T1 &gt;, std::vector&lt; T2 &gt; &gt;</a></td></tr>
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+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+</table><table class="memberdecls">
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+<tr class="separator:aa2ffd66726e0532160e16e6b48d6f428"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3b650a0131d41167ef4837ecc7d02be5"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a> ()</td></tr>
+<tr class="memdesc:a3b650a0131d41167ef4837ecc7d02be5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the base of the natural logarithm.  <a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">More...</a><br /></td></tr>
+<tr class="separator:a3b650a0131d41167ef4837ecc7d02be5"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a1369f60a09e3af4933096de3a54ac28c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a21f4f7c092e2bc9a089885628b86c004"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a21f4f7c092e2bc9a089885628b86c004">stan::math::log10</a> ()</td></tr>
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+<tr class="separator:a21f4f7c092e2bc9a089885628b86c004"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a34675a70d3df614d88d33ddbdd49b49a"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34675a70d3df614d88d33ddbdd49b49a">stan::math::positive_infinity</a> ()</td></tr>
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+<tr class="separator:a34675a70d3df614d88d33ddbdd49b49a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a34bffe91b7a24cb29bd69cb60814c39e"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a> ()</td></tr>
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+<tr class="separator:a34bffe91b7a24cb29bd69cb60814c39e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a381493bccc58bd993d797a2a5458c486"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a381493bccc58bd993d797a2a5458c486">stan::math::not_a_number</a> ()</td></tr>
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+<tr class="separator:a381493bccc58bd993d797a2a5458c486"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a173839dddd0a8ac8afa710b9e3d5008a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a66f94e47c6dc073bbd3929903b4431fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a491d6e40aaa2a3e205ea6708dc3c75dd"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a> = std::sqrt(2.0)</td></tr>
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+<tr class="separator:a491d6e40aaa2a3e205ea6708dc3c75dd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5491e346d5a812af988f8de4a5948c88"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math::INV_SQRT_2</a> = 1.0 / SQRT_2</td></tr>
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+<tr class="separator:a5491e346d5a812af988f8de4a5948c88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a43fb48f0a7f26bc60c1dfb572283b149"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a43fb48f0a7f26bc60c1dfb572283b149">stan::math::LOG_2</a> = std::log(2.0)</td></tr>
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+<tr class="separator:a43fb48f0a7f26bc60c1dfb572283b149"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab773773e2db53015eb48ab1730816fb5"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab773773e2db53015eb48ab1730816fb5">stan::math::LOG_10</a> = std::log(10.0)</td></tr>
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+<tr class="separator:ab773773e2db53015eb48ab1730816fb5"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a7f2ac8ebf3095e9934715bb34f0669b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa37d0f67f02e0a0b5797ed9f4df56bfb"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa37d0f67f02e0a0b5797ed9f4df56bfb">stan::math::NEGATIVE_INFTY</a> = - std::numeric_limits&lt;double&gt;::infinity()</td></tr>
+<tr class="memdesc:aa37d0f67f02e0a0b5797ed9f4df56bfb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negative infinity.  <a href="namespacestan_1_1math.html#aa37d0f67f02e0a0b5797ed9f4df56bfb">More...</a><br /></td></tr>
+<tr class="separator:aa37d0f67f02e0a0b5797ed9f4df56bfb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9cf147700a2e38335abc618b2c913b8a"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a> = std::numeric_limits&lt;double&gt;::quiet_NaN()</td></tr>
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+<tr class="separator:a9cf147700a2e38335abc618b2c913b8a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5ffd625c2083751d7ccabb7dbe39cbe0"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5ffd625c2083751d7ccabb7dbe39cbe0">stan::math::EPSILON</a> = std::numeric_limits&lt;double&gt;::epsilon()</td></tr>
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+<tr class="separator:a5ffd625c2083751d7ccabb7dbe39cbe0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1dcea3a9752d079c9f972040b873b704"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1dcea3a9752d079c9f972040b873b704">stan::math::NEGATIVE_EPSILON</a> = - std::numeric_limits&lt;double&gt;::epsilon()</td></tr>
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+<tr class="separator:a1dcea3a9752d079c9f972040b873b704"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4ea938c86917d89bbd13e4edcbecb1be"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">stan::math::POISSON_MAX_RATE</a> = std::pow(2.0, 30)</td></tr>
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+<tr class="separator:a4ea938c86917d89bbd13e4edcbecb1be"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a177764626d2378e0d7bdfb26aac187b6"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a177764626d2378e0d7bdfb26aac187b6">stan::math::LOG_PI_OVER_FOUR</a> = std::log(boost::math::constants::pi&lt;double&gt;()) / 4.0</td></tr>
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+<tr class="separator:a177764626d2378e0d7bdfb26aac187b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3e31fd76fde6e97d14dfb26c5f4ab8d0"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">stan::math::SQRT_PI</a> = std::sqrt(boost::math::constants::pi&lt;double&gt;())</td></tr>
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+<div class="title">constants.hpp</div>  </div>
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+<div class="contents">
+<a href="constants_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_CONSTANTS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_CONSTANTS_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/constants/constants.hpp&gt;</span></div>
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+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
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+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    }</div>
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+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a5ffd625c2083751d7ccabb7dbe39cbe0">EPSILON</a>;</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    }</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">SQRT_PI</a></div>
+<div class="line"><a name="l00156"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">  156</a></span>&#160;    = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(boost::math::constants::pi&lt;double&gt;());</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;</div>
+<div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa628c5af5a85d53472f0126fcca44524">  158</a></span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#aa628c5af5a85d53472f0126fcca44524">SQRT_2_TIMES_SQRT_PI</a> = SQRT_2 * <a class="code" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">SQRT_PI</a>;</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a935530f53a026ebb80fcd9006059e9c8">TWO_OVER_SQRT_PI</a></div>
+<div class="line"><a name="l00161"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a935530f53a026ebb80fcd9006059e9c8">  161</a></span>&#160;    = 2.0 / <a class="code" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">SQRT_PI</a>;</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div>
+<div class="line"><a name="l00163"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a344504ea0c1f4f956c85ea8027a07ba9">  163</a></span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a344504ea0c1f4f956c85ea8027a07ba9">NEG_TWO_OVER_SQRT_PI</a> = -<a class="code" href="namespacestan_1_1math.html#a935530f53a026ebb80fcd9006059e9c8">TWO_OVER_SQRT_PI</a>;</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a44d54686aa26009d0e9101be42afd877">INV_SQRT_TWO_PI</a></div>
+<div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a44d54686aa26009d0e9101be42afd877">  166</a></span>&#160;    = 1.0 / <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0 * boost::math::constants::pi&lt;double&gt;());</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">LOG_PI</a></div>
+<div class="line"><a name="l00170"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">  170</a></span>&#160;    = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(boost::math::constants::pi&lt;double&gt;());</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#ab836723c882918b6263042bdefa3c0d7">LOG_SQRT_PI</a></div>
+<div class="line"><a name="l00173"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab836723c882918b6263042bdefa3c0d7">  173</a></span>&#160;    = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(SQRT_PI);</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;</div>
+<div class="line"><a name="l00175"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">  175</a></span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a> = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(0.0);</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;</div>
+<div class="line"><a name="l00177"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">  177</a></span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">LOG_TWO</a> = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(2.0);</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;</div>
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+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;</div>
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+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a0f964e25c3ad3515549ead08428ff7cf"><div class="ttname"><a href="namespacestan_1_1math.html#a0f964e25c3ad3515549ead08428ff7cf">stan::math::NEG_LOG_PI</a></div><div class="ttdeci">const double NEG_LOG_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00186">constants.hpp:186</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a84525339d1870944d63c1cce6caa1af1"><div class="ttname"><a href="namespacestan_1_1math.html#a84525339d1870944d63c1cce6caa1af1">stan::math::LOG_HALF</a></div><div class="ttdeci">const double LOG_HALF</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00179">constants.hpp:179</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a44d54686aa26009d0e9101be42afd877"><div class="ttname"><a href="namespacestan_1_1math.html#a44d54686aa26009d0e9101be42afd877">stan::math::INV_SQRT_TWO_PI</a></div><div class="ttdeci">const double INV_SQRT_TWO_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00166">constants.hpp:166</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9cf147700a2e38335abc618b2c913b8a"><div class="ttname"><a href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a></div><div class="ttdeci">const double NOT_A_NUMBER</div><div class="ttdoc">(Quiet) not-a-number value. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00056">constants.hpp:56</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af6dd9cf6abfd8930528d3635890982b1"><div class="ttname"><a href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">stan::math::LOG_PI</a></div><div class="ttdeci">const double LOG_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00170">constants.hpp:170</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_afb4a282e2196987e10d2bb65f12ec55a"><div class="ttname"><a href="namespacestan_1_1math.html#afb4a282e2196987e10d2bb65f12ec55a">stan::math::NEG_LOG_SQRT_PI</a></div><div class="ttdeci">const double NEG_LOG_SQRT_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00189">constants.hpp:189</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a808cbb5ac4003f28e2538805ebe338ef"><div class="ttname"><a href="namespacestan_1_1math.html#a808cbb5ac4003f28e2538805ebe338ef">stan::math::log10</a></div><div class="ttdeci">fvar&lt; T &gt; log10(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log10_8hpp_source.html#l00015">log10.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_acd99e429af3a997976a017d6a580e3f9"><div class="ttname"><a href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">stan::math::LOG_ZERO</a></div><div class="ttdeci">const double LOG_ZERO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00175">constants.hpp:175</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad7a5d92de812b4b632801cf8e32dbe7d"><div class="ttname"><a href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">stan::math::LOG_TWO</a></div><div class="ttdeci">const double LOG_TWO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00177">constants.hpp:177</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a938e5d349b0ffdfdae9674f9dd4dbebe"><div class="ttname"><a href="namespacestan_1_1math.html#a938e5d349b0ffdfdae9674f9dd4dbebe">stan::math::LOG_TWO_PI</a></div><div class="ttdeci">const double LOG_TWO_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00193">constants.hpp:193</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1369f60a09e3af4933096de3a54ac28c"><div class="ttname"><a href="namespacestan_1_1math.html#a1369f60a09e3af4933096de3a54ac28c">stan::math::sqrt2</a></div><div class="ttdeci">double sqrt2()</div><div class="ttdoc">Return the square root of two. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00104">constants.hpp:104</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a935530f53a026ebb80fcd9006059e9c8"><div class="ttname"><a href="namespacestan_1_1math.html#a935530f53a026ebb80fcd9006059e9c8">stan::math::TWO_OVER_SQRT_PI</a></div><div class="ttdeci">const double TWO_OVER_SQRT_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00161">constants.hpp:161</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa628c5af5a85d53472f0126fcca44524"><div class="ttname"><a href="namespacestan_1_1math.html#aa628c5af5a85d53472f0126fcca44524">stan::math::SQRT_2_TIMES_SQRT_PI</a></div><div class="ttdeci">const double SQRT_2_TIMES_SQRT_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00158">constants.hpp:158</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a491d6e40aaa2a3e205ea6708dc3c75dd"><div class="ttname"><a href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a></div><div class="ttdeci">const double SQRT_2</div><div class="ttdoc">The value of the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00021">constants.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5491e346d5a812af988f8de4a5948c88"><div class="ttname"><a href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math::INV_SQRT_2</a></div><div class="ttdeci">const double INV_SQRT_2</div><div class="ttdoc">The value of 1 over the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00027">constants.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5ffd625c2083751d7ccabb7dbe39cbe0"><div class="ttname"><a href="namespacestan_1_1math.html#a5ffd625c2083751d7ccabb7dbe39cbe0">stan::math::EPSILON</a></div><div class="ttdeci">const double EPSILON</div><div class="ttdoc">Smallest positive value. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00061">constants.hpp:61</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a177764626d2378e0d7bdfb26aac187b6"><div class="ttname"><a href="namespacestan_1_1math.html#a177764626d2378e0d7bdfb26aac187b6">stan::math::LOG_PI_OVER_FOUR</a></div><div class="ttdeci">const double LOG_PI_OVER_FOUR</div><div class="ttdoc">Log pi divided by 4 . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00079">constants.hpp:79</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a173839dddd0a8ac8afa710b9e3d5008a"><div class="ttname"><a href="namespacestan_1_1math.html#a173839dddd0a8ac8afa710b9e3d5008a">stan::math::machine_precision</a></div><div class="ttdeci">double machine_precision()</div><div class="ttdoc">Returns the difference between 1.0 and the next value representable. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00151">constants.hpp:151</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a344504ea0c1f4f956c85ea8027a07ba9"><div class="ttname"><a href="namespacestan_1_1math.html#a344504ea0c1f4f956c85ea8027a07ba9">stan::math::NEG_TWO_OVER_SQRT_PI</a></div><div class="ttdeci">const double NEG_TWO_OVER_SQRT_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00163">constants.hpp:163</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a4ea938c86917d89bbd13e4edcbecb1be"><div class="ttname"><a href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">stan::math::POISSON_MAX_RATE</a></div><div class="ttdeci">const double POISSON_MAX_RATE</div><div class="ttdoc">Largest rate parameter allowed in Poisson RNG. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00072">constants.hpp:72</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a59f7f156224f9e60c2fb3e99034212eb"><div class="ttname"><a href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">stan::math::NEG_LOG_SQRT_TWO_PI</a></div><div class="ttdeci">const double NEG_LOG_SQRT_TWO_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00184">constants.hpp:184</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34675a70d3df614d88d33ddbdd49b49a"><div class="ttname"><a href="namespacestan_1_1math.html#a34675a70d3df614d88d33ddbdd49b49a">stan::math::positive_infinity</a></div><div class="ttdeci">double positive_infinity()</div><div class="ttdoc">Return positive infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00123">constants.hpp:123</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a66f94e47c6dc073bbd3929903b4431fe"><div class="ttname"><a href="namespacestan_1_1math.html#a66f94e47c6dc073bbd3929903b4431fe">stan::math::E</a></div><div class="ttdeci">const double E</div><div class="ttdoc">The base of the natural logarithm, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00015">constants.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa546788809cd7f0be4a9872bc8009325"><div class="ttname"><a href="namespacestan_1_1math.html#aa546788809cd7f0be4a9872bc8009325">stan::math::NEG_LOG_TWO</a></div><div class="ttdeci">const double NEG_LOG_TWO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00181">constants.hpp:181</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2fc867325cdad6b9dcc2e7443ddf5956"><div class="ttname"><a href="namespacestan_1_1math.html#a2fc867325cdad6b9dcc2e7443ddf5956">stan::math::NEG_LOG_TWO_PI</a></div><div class="ttdeci">const double NEG_LOG_TWO_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00195">constants.hpp:195</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9b0bc03717322aa20ea2be9d6e488738"><div class="ttname"><a href="namespacestan_1_1math.html#a9b0bc03717322aa20ea2be9d6e488738">stan::math::NEG_LOG_TWO_OVER_TWO</a></div><div class="ttdeci">const double NEG_LOG_TWO_OVER_TWO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00191">constants.hpp:191</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7f2ac8ebf3095e9934715bb34f0669b3"><div class="ttname"><a href="namespacestan_1_1math.html#a7f2ac8ebf3095e9934715bb34f0669b3">stan::math::INFTY</a></div><div class="ttdeci">const double INFTY</div><div class="ttdoc">Positive infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00044">constants.hpp:44</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa2ffd66726e0532160e16e6b48d6f428"><div class="ttname"><a href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a></div><div class="ttdeci">double pi()</div><div class="ttdoc">Return the value of pi. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00086">constants.hpp:86</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a381493bccc58bd993d797a2a5458c486"><div class="ttname"><a href="namespacestan_1_1math.html#a381493bccc58bd993d797a2a5458c486">stan::math::not_a_number</a></div><div class="ttdeci">double not_a_number()</div><div class="ttdoc">Return (quiet) not-a-number. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00141">constants.hpp:141</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa37d0f67f02e0a0b5797ed9f4df56bfb"><div class="ttname"><a href="namespacestan_1_1math.html#aa37d0f67f02e0a0b5797ed9f4df56bfb">stan::math::NEGATIVE_INFTY</a></div><div class="ttdeci">const double NEGATIVE_INFTY</div><div class="ttdoc">Negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00050">constants.hpp:50</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1dcea3a9752d079c9f972040b873b704"><div class="ttname"><a href="namespacestan_1_1math.html#a1dcea3a9752d079c9f972040b873b704">stan::math::NEGATIVE_EPSILON</a></div><div class="ttdeci">const double NEGATIVE_EPSILON</div><div class="ttdoc">Largest negative value (i.e., smallest absolute value). </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00067">constants.hpp:67</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3e31fd76fde6e97d14dfb26c5f4ab8d0"><div class="ttname"><a href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">stan::math::SQRT_PI</a></div><div class="ttdeci">const double SQRT_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00156">constants.hpp:156</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aece739c5a2672028f0c7848045b89f08"><div class="ttname"><a href="namespacestan_1_1math.html#aece739c5a2672028f0c7848045b89f08">stan::math::CONSTRAINT_TOLERANCE</a></div><div class="ttdeci">const double CONSTRAINT_TOLERANCE</div><div class="ttdoc">The tolerance for checking arithmetic bounds In rank and in simplexes. </div><div class="ttdef"><b>Definition:</b> <a href="constraint__tolerance_8hpp_source.html#l00011">constraint_tolerance.hpp:11</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2meta_2is__fvar_8hpp_source.html">stan/math/prim/scal/meta/is_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</code><br />
+</div>
+<p><a href="contains__fvar_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1contains__fvar.html">stan::contains_fvar&lt; T1, T2, T3, T4, T5, T6 &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of the template parameters.  <a href="structstan_1_1contains__fvar.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="contains__fvar_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_CONTAINS_FVAR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_CONTAINS_FVAR_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2is__fvar_8hpp.html">stan/math/prim/scal/meta/is_fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2scalar__type_8hpp.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1,</div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;              <span class="keyword">typename</span> T4 = double,</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;}</div>
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+<div class="ttc" id="scal_2meta_2scalar__type_8hpp_html"><div class="ttname"><a href="scal_2meta_2scalar__type_8hpp.html">scalar_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1contains__fvar_html"><div class="ttname"><a href="structstan_1_1contains__fvar.html">stan::contains_fvar</a></div><div class="ttdoc">Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of...</div><div class="ttdef"><b>Definition:</b> <a href="contains__fvar_8hpp_source.html#l00019">contains_fvar.hpp:19</a></div></div>
+<div class="ttc" id="structstan_1_1contains__fvar_html_ad9569a024e127cb8461794ed2ace7a93a5a1eddf5b1539585920063fb6cd6835b"><div class="ttname"><a href="structstan_1_1contains__fvar.html#ad9569a024e127cb8461794ed2ace7a93a5a1eddf5b1539585920063fb6cd6835b">stan::contains_fvar::value</a></div><div class="ttdef"><b>Definition:</b> <a href="contains__fvar_8hpp_source.html#l00021">contains_fvar.hpp:21</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+</div>
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+<div class="title">contains_nonconstant_struct.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="contains__nonconstant__struct_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_CONTAINS_NONCONSTANT_STRUCT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_CONTAINS_NONCONSTANT_STRUCT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1,</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;            <span class="keyword">typename</span> T2 = double,</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;            <span class="keyword">typename</span> T3 = double,</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;            <span class="keyword">typename</span> T4 = double,</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;            <span class="keyword">typename</span> T5 = double,</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;            <span class="keyword">typename</span> T6 = <span class="keywordtype">double</span>&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="structstan_1_1contains__nonconstant__struct.html">   14</a></span>&#160;  <span class="keyword">struct </span><a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct</a> {</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="chainable__alloc_8hpp_source.html">stan/math/rev/core/chainable_alloc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chainablestack_8hpp_source.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="empty__nested_8hpp_source.html">stan/math/rev/core/empty_nested.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="nested__size_8hpp_source.html">stan/math/rev/core/nested_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vari_8hpp_source.html">stan/math/rev/core/vari.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a20437f997cf28c6013d897f1d8099106"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">stan::math::grad</a> (vari *vi)</td></tr>
+<tr class="memdesc:a20437f997cf28c6013d897f1d8099106"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the gradient for all variables starting from the specified root variable implementation.  <a href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">More...</a><br /></td></tr>
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+<a href="core_2grad_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_GRAD_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chainablestack_8hpp.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">   30</a></span>&#160;    <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">grad</a>(<a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* vi) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="comment">// simple reference implementation (intended as doc):</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="comment">//   vi-&gt;init_dependent();</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="comment">//   size_t end = var_stack_.size();</span></div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        ? <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a3ee9208d01fab7f0d6b3d3fd6f186435">ChainableStack::var_stack_</a>.rend() : begin + <a class="code" href="namespacestan_1_1math.html#ac0f68ac575a2b8dff3a7a2359962c607">nested_size</a>();</div>
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+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
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+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="nested__size_8hpp_html"><div class="ttname"><a href="nested__size_8hpp.html">nested_size.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a20437f997cf28c6013d897f1d8099106"><div class="ttname"><a href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">stan::math::grad</a></div><div class="ttdeci">static void grad(vari *vi)</div><div class="ttdoc">Compute the gradient for all variables starting from the specified root variable implementation. </div><div class="ttdef"><b>Definition:</b> <a href="core_2grad_8hpp_source.html#l00030">grad.hpp:30</a></div></div>
+<div class="ttc" id="empty__nested_8hpp_html"><div class="ttname"><a href="empty__nested_8hpp.html">empty_nested.hpp</a></div></div>
+<div class="ttc" id="chainable__alloc_8hpp_html"><div class="ttname"><a href="chainable__alloc_8hpp.html">chainable_alloc.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac0f68ac575a2b8dff3a7a2359962c607"><div class="ttname"><a href="namespacestan_1_1math.html#ac0f68ac575a2b8dff3a7a2359962c607">stan::math::nested_size</a></div><div class="ttdeci">static size_t nested_size()</div><div class="ttdef"><b>Definition:</b> <a href="nested__size_8hpp_source.html#l00010">nested_size.hpp:10</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html_a5f18458dab300f020b4546d046fa0183"><div class="ttname"><a href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">stan::math::vari::init_dependent</a></div><div class="ttdeci">void init_dependent()</div><div class="ttdoc">Initialize the adjoint for this (dependent) variable to 1. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00098">vari.hpp:98</a></div></div>
+<div class="ttc" id="chainablestack_8hpp_html"><div class="ttname"><a href="chainablestack_8hpp.html">chainablestack.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a3ee9208d01fab7f0d6b3d3fd6f186435"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a3ee9208d01fab7f0d6b3d3fd6f186435">stan::math::AutodiffStackStorage::var_stack_</a></div><div class="ttdeci">static std::vector&lt; ChainableT * &gt; var_stack_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00013">autodiffstackstorage.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="corr__constrain_8hpp_source.html">Go to the source code of this file.</a></p>
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+Namespaces</h2></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a6a3c8aa139b956593524b01f21c971a1"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6a3c8aa139b956593524b01f21c971a1"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">stan::math::corr_constrain</a> (const T x)</td></tr>
+<tr class="memdesc:a6a3c8aa139b956593524b01f21c971a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the result of transforming the specified scalar to have a valid correlation value between -1 and 1 (inclusive).  <a href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">More...</a><br /></td></tr>
+<tr class="separator:a6a3c8aa139b956593524b01f21c971a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a40c9589bc6f6d15d7455de5ad453c8e6"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a40c9589bc6f6d15d7455de5ad453c8e6"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a40c9589bc6f6d15d7455de5ad453c8e6">stan::math::corr_constrain</a> (const T x, T &amp;lp)</td></tr>
+<tr class="memdesc:a40c9589bc6f6d15d7455de5ad453c8e6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the result of transforming the specified scalar to have a valid correlation value between -1 and 1 (inclusive).  <a href="namespacestan_1_1math.html#a40c9589bc6f6d15d7455de5ad453c8e6">More...</a><br /></td></tr>
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+<a href="corr__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_CORR_CONSTRAIN_HPP</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ae11dc45fd471bec1a19462ce58f434b8"><div class="ttname"><a href="namespacestan_1_1math.html#ae11dc45fd471bec1a19462ce58f434b8">stan::math::tanh</a></div><div class="ttdeci">fvar&lt; T &gt; tanh(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2tanh_8hpp_source.html#l00014">tanh.hpp:14</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="corr__free_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a9322e1f1baeb5a192c4972dbec311b4e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9322e1f1baeb5a192c4972dbec311b4e"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9322e1f1baeb5a192c4972dbec311b4e">stan::math::corr_free</a> (const T y)</td></tr>
+<tr class="memdesc:a9322e1f1baeb5a192c4972dbec311b4e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unconstrained scalar that when transformed to a valid correlation produces the specified value.  <a href="namespacestan_1_1math.html#a9322e1f1baeb5a192c4972dbec311b4e">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__constrain_8hpp_source.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_corr_matrix.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a8321b61db6a84b5d9041777643d53550"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8321b61db6a84b5d9041777643d53550"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8321b61db6a84b5d9041777643d53550">stan::math::corr_matrix_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, typename math::index_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::type k)</td></tr>
+<tr class="memdesc:a8321b61db6a84b5d9041777643d53550"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the correlation matrix of the specified dimensionality derived from the specified vector of unconstrained values.  <a href="namespacestan_1_1math.html#a8321b61db6a84b5d9041777643d53550">More...</a><br /></td></tr>
+<tr class="separator:a8321b61db6a84b5d9041777643d53550"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a65f2b4839829eda2b539a09da332a7fa"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a65f2b4839829eda2b539a09da332a7fa"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a65f2b4839829eda2b539a09da332a7fa">stan::math::corr_matrix_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, typename math::index_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::type k, T &amp;lp)</td></tr>
+<tr class="memdesc:a65f2b4839829eda2b539a09da332a7fa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the correlation matrix of the specified dimensionality derived from the specified vector of unconstrained values.  <a href="namespacestan_1_1math.html#a65f2b4839829eda2b539a09da332a7fa">More...</a><br /></td></tr>
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+<div class="title">corr_matrix_constrain.hpp</div>  </div>
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+<a href="corr__matrix__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CORR_MATRIX_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_CORR_MATRIX_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__constrain_8hpp.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__corr__matrix_8hpp.html">stan/math/prim/mat/fun/read_corr_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8321b61db6a84b5d9041777643d53550">   40</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a8321b61db6a84b5d9041777643d53550">corr_matrix_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                          <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">math::index_type</a></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                          &lt;Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; &gt;::type k) {</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, 1&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      size_type k_choose_2 = (k * (k - 1)) / 2;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keywordflow">if</span> (k_choose_2 != x.size())</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">std::invalid_argument</a>(<span class="stringliteral">&quot;x is not a valid correlation matrix&quot;</span>);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      Eigen::Array&lt;T, Eigen::Dynamic, 1&gt; cpcs(k_choose_2);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordflow">for</span> (size_type i = 0; i &lt; k_choose_2; ++i)</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        cpcs[i] = <a class="code" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">corr_constrain</a>(x[i]);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a2510336c2dac321c32b171f8ef407a06">read_corr_matrix</a>(cpcs, k);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    }</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a65f2b4839829eda2b539a09da332a7fa">   78</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a8321b61db6a84b5d9041777643d53550">corr_matrix_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                          <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">math::index_type</a></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                          &lt;Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; &gt;::type k,</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                          T&amp; lp) {</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> Eigen::Array;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, 1&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      size_type k_choose_2 = (k * (k - 1)) / 2;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordflow">if</span> (k_choose_2 != x.size())</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">std::invalid_argument</a>(<span class="stringliteral">&quot;x is not a valid correlation matrix&quot;</span>);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      Array&lt;T, Dynamic, 1&gt; cpcs(k_choose_2);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">for</span> (size_type i = 0; i &lt; k_choose_2; ++i)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        cpcs[i] = <a class="code" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">corr_constrain</a>(x[i], lp);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a2510336c2dac321c32b171f8ef407a06">read_corr_matrix</a>(cpcs, k, lp);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    }</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;  }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;}</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8321b61db6a84b5d9041777643d53550"><div class="ttname"><a href="namespacestan_1_1math.html#a8321b61db6a84b5d9041777643d53550">stan::math::corr_matrix_constrain</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; corr_matrix_constrain(const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, typename math::index_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::type k)</div><div class="ttdoc">Return the correlation matrix of the specified dimensionality derived from the specified vector of un...</div><div class="ttdef"><b>Definition:</b> <a href="corr__matrix__constrain_8hpp_source.html#l00040">corr_matrix_constrain.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2510336c2dac321c32b171f8ef407a06"><div class="ttname"><a href="namespacestan_1_1math.html#a2510336c2dac321c32b171f8ef407a06">stan::math::read_corr_matrix</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; read_corr_matrix(const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, const size_t K)</div><div class="ttdoc">Return the correlation matrix of the specified dimensionality corresponding to the specified canonica...</div><div class="ttdef"><b>Definition:</b> <a href="read__corr__matrix_8hpp_source.html#l00028">read_corr_matrix.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
+<div class="ttc" id="corr__constrain_8hpp_html"><div class="ttname"><a href="corr__constrain_8hpp.html">corr_constrain.hpp</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="read__corr__matrix_8hpp_html"><div class="ttname"><a href="read__corr__matrix_8hpp.html">read_corr_matrix.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6a3c8aa139b956593524b01f21c971a1"><div class="ttname"><a href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">stan::math::corr_constrain</a></div><div class="ttdeci">T corr_constrain(const T x)</div><div class="ttdoc">Return the result of transforming the specified scalar to have a valid correlation value between -1 a...</div><div class="ttdef"><b>Definition:</b> <a href="corr__constrain_8hpp_source.html#l00025">corr_constrain.hpp:25</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constraint__tolerance_8hpp_source.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/factor_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/throw_exception.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="corr__matrix__free_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a34f63590ae0c736b6113d578d0899da1"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a34f63590ae0c736b6113d578d0899da1"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34f63590ae0c736b6113d578d0899da1">stan::math::corr_matrix_free</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a34f63590ae0c736b6113d578d0899da1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the vector of unconstrained partial correlations that define the specified correlation matrix when transformed.  <a href="namespacestan_1_1math.html#a34f63590ae0c736b6113d578d0899da1">More...</a><br /></td></tr>
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+<a href="corr__matrix__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CORR_MATRIX_FREE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_CORR_MATRIX_FREE_HPP</span></div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Observer for the coupled states.  <a href="structstan_1_1math_1_1coupled__ode__observer.html#details">More...</a><br /></td></tr>
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+<a href="coupled__ode__observer_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUNCTOR_COUPLED_ODE_OBSERVER_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_FUNCTOR_COUPLED_ODE_OBSERVER_HPP</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
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+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__observer_html"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__observer.html">stan::math::coupled_ode_observer</a></div><div class="ttdoc">Observer for the coupled states. </div><div class="ttdef"><b>Definition:</b> <a href="coupled__ode__observer_8hpp_source.html#l00015">coupled_ode_observer.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__observer_html_a6c0c4107e1d62a89395e5ee17e5a43c4"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__observer.html#a6c0c4107e1d62a89395e5ee17e5a43c4">stan::math::coupled_ode_observer::operator()</a></div><div class="ttdeci">void operator()(const std::vector&lt; double &gt; &amp;coupled_state, const double t)</div><div class="ttdoc">Callback function for Boost&#39;s ODE solver to record values. </div><div class="ttdef"><b>Definition:</b> <a href="coupled__ode__observer_8hpp_source.html#l00036">coupled_ode_observer.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__observer_html_a1cbc3b0af0db1af7a2614619963dafb2"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__observer.html#a1cbc3b0af0db1af7a2614619963dafb2">stan::math::coupled_ode_observer::coupled_ode_observer</a></div><div class="ttdeci">coupled_ode_observer(std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y_coupled)</div><div class="ttdoc">Construct a coupled ODE observer from the specified coupled vector. </div><div class="ttdef"><b>Definition:</b> <a href="coupled__ode__observer_8hpp_source.html#l00025">coupled_ode_observer.hpp:25</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">stan/math/prim/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="cov__matrix__constrain_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a1ad6b90cf2d3d3d25d2cf64a12effede"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a1ad6b90cf2d3d3d25d2cf64a12effede"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1ad6b90cf2d3d3d25d2cf64a12effede">stan::math::cov_matrix_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, typename math::index_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::type K)</td></tr>
+<tr class="memdesc:a1ad6b90cf2d3d3d25d2cf64a12effede"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the symmetric, positive-definite matrix of dimensions K by K resulting from transforming the specified finite vector of size K plus (K choose 2).  <a href="namespacestan_1_1math.html#a1ad6b90cf2d3d3d25d2cf64a12effede">More...</a><br /></td></tr>
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+<tr class="memitem:a417c6032fe62186f7c8fb5452e4173d8"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a417c6032fe62186f7c8fb5452e4173d8">stan::math::cov_matrix_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, typename math::index_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::type K, T &amp;lp)</td></tr>
+<tr class="memdesc:a417c6032fe62186f7c8fb5452e4173d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the symmetric, positive-definite matrix of dimensions K by K resulting from transforming the specified finite vector of size K plus (K choose 2).  <a href="namespacestan_1_1math.html#a417c6032fe62186f7c8fb5452e4173d8">More...</a><br /></td></tr>
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+<div class="contents">
+<a href="cov__matrix__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_COV_MATRIX_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_COV_MATRIX_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">stan/math/prim/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="comment">// COVARIANCE MATRIX</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1ad6b90cf2d3d3d25d2cf64a12effede">   31</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a1ad6b90cf2d3d3d25d2cf64a12effede">cov_matrix_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                         <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">math::index_type</a></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                         &lt;Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; &gt;::type K) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0d671dcfc6f4c1b4896c5d8bc4568acf">stan::math::multiply_lower_tri_self_transpose</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, Dynamic&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      Matrix&lt;T, Dynamic, Dynamic&gt; L(K, K);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> (x.size() != (K * (K + 1)) / 2)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;x.size() != K + (K choose 2)&quot;</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordtype">int</span> i = 0;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">for</span> (size_type m = 0; m &lt; K; ++m) {</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> n = 0; n &lt; m; ++n)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;          L(m, n) = x(i++);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        L(m, m) = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(x(i++));</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keywordflow">for</span> (size_type n = m + 1; n &lt; K; ++n)</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;          L(m, n) = 0.0;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      }</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a0d671dcfc6f4c1b4896c5d8bc4568acf">multiply_lower_tri_self_transpose</a>(L);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    }</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a417c6032fe62186f7c8fb5452e4173d8">   71</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a1ad6b90cf2d3d3d25d2cf64a12effede">cov_matrix_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;         <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">math::index_type</a>&lt;Eigen::Matrix&lt;T,</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                                                 Eigen::Dynamic,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                                                 Eigen::Dynamic&gt; &gt;::type K,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;         T&amp; lp) {</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, Dynamic&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">if</span> (x.size() != (K * (K + 1)) / 2)</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;x.size() != K + (K choose 2)&quot;</span>);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      Matrix&lt;T, Dynamic, Dynamic&gt; L(K, K);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordtype">int</span> i = 0;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keywordflow">for</span> (size_type m = 0; m &lt; K; ++m) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keywordflow">for</span> (size_type n = 0; n &lt; m; ++n)</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          L(m, n) = x(i++);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        L(m, m) = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(x(i++));</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keywordflow">for</span> (size_type n = m + 1; n &lt; K; ++n)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;          L(m, n) = 0.0;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="comment">// Jacobian for complete transform, including exp() above</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      lp += (K * <a class="code" href="namespacestan_1_1math.html#a43fb48f0a7f26bc60c1dfb572283b149">stan::math::LOG_2</a>);  <span class="comment">// needless constant; want propto</span></div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; K; ++k)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        lp += (K - k + 1) * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(L(k, k));  <span class="comment">// only +1 because index from 0</span></div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keywordflow">return</span> L * L.transpose();</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="comment">// return tri_multiply_transpose(L);</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;}</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a43fb48f0a7f26bc60c1dfb572283b149"><div class="ttname"><a href="namespacestan_1_1math.html#a43fb48f0a7f26bc60c1dfb572283b149">stan::math::LOG_2</a></div><div class="ttdeci">const double LOG_2</div><div class="ttdoc">The natural logarithm of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00033">constants.hpp:33</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">multiply_lower_tri_self_transpose.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1ad6b90cf2d3d3d25d2cf64a12effede"><div class="ttname"><a href="namespacestan_1_1math.html#a1ad6b90cf2d3d3d25d2cf64a12effede">stan::math::cov_matrix_constrain</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; cov_matrix_constrain(const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, typename math::index_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::type K)</div><div class="ttdoc">Return the symmetric, positive-definite matrix of dimensions K by K resulting from transforming the s...</div><div class="ttdef"><b>Definition:</b> <a href="cov__matrix__constrain_8hpp_source.html#l00031">cov_matrix_constrain.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0d671dcfc6f4c1b4896c5d8bc4568acf"><div class="ttname"><a href="namespacestan_1_1math.html#a0d671dcfc6f4c1b4896c5d8bc4568acf">stan::math::multiply_lower_tri_self_transpose</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R, R &gt; multiply_lower_tri_self_transpose(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html#l00017">multiply_lower_tri_self_transpose.hpp:17</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </span>
+</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__constrain_8hpp_source.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__constrain_8hpp_source.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_cov_matrix.hpp</a>&gt;</code><br />
+</div>
+<p><a href="cov__matrix__constrain__lkj_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a6e398c69a5845680ca945fa9ec6ec401"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6e398c69a5845680ca945fa9ec6ec401"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6e398c69a5845680ca945fa9ec6ec401">stan::math::cov_matrix_constrain_lkj</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, size_t k)</td></tr>
+<tr class="memdesc:a6e398c69a5845680ca945fa9ec6ec401"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the covariance matrix of the specified dimensionality derived from constraining the specified vector of unconstrained values.  <a href="namespacestan_1_1math.html#a6e398c69a5845680ca945fa9ec6ec401">More...</a><br /></td></tr>
+<tr class="separator:a6e398c69a5845680ca945fa9ec6ec401"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad179abe18f235b3000ad7a000b3abb29"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad179abe18f235b3000ad7a000b3abb29"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad179abe18f235b3000ad7a000b3abb29">stan::math::cov_matrix_constrain_lkj</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, size_t k, T &amp;lp)</td></tr>
+<tr class="memdesc:ad179abe18f235b3000ad7a000b3abb29"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the covariance matrix of the specified dimensionality derived from constraining the specified vector of unconstrained values and increment the specified log probability reference with the log absolute Jacobian determinant.  <a href="namespacestan_1_1math.html#ad179abe18f235b3000ad7a000b3abb29">More...</a><br /></td></tr>
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+<div class="title">cov_matrix_constrain_lkj.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="cov__matrix__constrain__lkj_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_COV_MATRIX_CONSTRAIN_LKJ_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_COV_MATRIX_CONSTRAIN_LKJ_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__constrain_8hpp.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__constrain_8hpp.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__cov__matrix_8hpp.html">stan/math/prim/mat/fun/read_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6e398c69a5845680ca945fa9ec6ec401">   34</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6e398c69a5845680ca945fa9ec6ec401">cov_matrix_constrain_lkj</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                         <span class="keywordtype">size_t</span> k) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordtype">size_t</span> k_choose_2 = (k * (k - 1)) / 2;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      Eigen::Array&lt;T, Eigen::Dynamic, 1&gt; cpcs(k_choose_2);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordtype">int</span> pos = 0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; k_choose_2; ++i)</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        cpcs[i] = <a class="code" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">corr_constrain</a>(x[pos++]);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      Eigen::Array&lt;T, Eigen::Dynamic, 1&gt; sds(k);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; k; ++i)</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aecf731d715f789bfad7dbb712851c52e">read_cov_matrix</a>(cpcs, sds);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
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+<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad179abe18f235b3000ad7a000b3abb29">   73</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6e398c69a5845680ca945fa9ec6ec401">cov_matrix_constrain_lkj</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                         <span class="keywordtype">size_t</span> k,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                         T&amp; lp) {</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordtype">size_t</span> k_choose_2 = (k * (k - 1)) / 2;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      Eigen::Array&lt;T, Eigen::Dynamic, 1&gt; cpcs(k_choose_2);</div>
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+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; k_choose_2; ++i)</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        cpcs[i] = <a class="code" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">corr_constrain</a>(x[pos++], lp);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      Eigen::Array&lt;T, Eigen::Dynamic, 1&gt; sds(k);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; k; ++i)</div>
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+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aecf731d715f789bfad7dbb712851c52e">read_cov_matrix</a>(cpcs, sds, lp);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
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+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;}</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_aecf731d715f789bfad7dbb712851c52e"><div class="ttname"><a href="namespacestan_1_1math.html#aecf731d715f789bfad7dbb712851c52e">stan::math::read_cov_matrix</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; read_cov_matrix(const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;sds, T &amp;log_prob)</div><div class="ttdoc">A generally worse alternative to call prior to evaluating the density of an elliptical distribution...</div><div class="ttdef"><b>Definition:</b> <a href="read__cov__matrix_8hpp_source.html#l00023">read_cov_matrix.hpp:23</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="corr__constrain_8hpp_html"><div class="ttname"><a href="corr__constrain_8hpp.html">corr_constrain.hpp</a></div></div>
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+<div class="ttc" id="read__cov__matrix_8hpp_html"><div class="ttname"><a href="read__cov__matrix_8hpp.html">read_cov_matrix.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6e398c69a5845680ca945fa9ec6ec401"><div class="ttname"><a href="namespacestan_1_1math.html#a6e398c69a5845680ca945fa9ec6ec401">stan::math::cov_matrix_constrain_lkj</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; cov_matrix_constrain_lkj(const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, size_t k)</div><div class="ttdoc">Return the covariance matrix of the specified dimensionality derived from constraining the specified ...</div><div class="ttdef"><b>Definition:</b> <a href="cov__matrix__constrain__lkj_8hpp_source.html#l00034">cov_matrix_constrain_lkj.hpp:34</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="cov__matrix__free_8hpp_source.html">Go to the source code of this file.</a></p>
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a485d3c2cd12e516bb13a1d48f9a43386"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a485d3c2cd12e516bb13a1d48f9a43386"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a485d3c2cd12e516bb13a1d48f9a43386">stan::math::cov_matrix_free</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a485d3c2cd12e516bb13a1d48f9a43386"><td class="mdescLeft">&#160;</td><td class="mdescRight">The covariance matrix derived from the symmetric view of the lower-triangular view of the K by K specified matrix is freed to return a vector of size K + (K choose 2).  <a href="namespacestan_1_1math.html#a485d3c2cd12e516bb13a1d48f9a43386">More...</a><br /></td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<div class="contents">
+<a href="cov__matrix__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_COV_MATRIX_FREE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_COV_MATRIX_FREE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a485d3c2cd12e516bb13a1d48f9a43386">   37</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a485d3c2cd12e516bb13a1d48f9a43386">cov_matrix_free</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keywordtype">int</span> K = y.rows();</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">if</span> (y.cols() != K)</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;y is not a square matrix&quot;</span>);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">if</span> (K == 0)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;y has no elements&quot;</span>);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; K; ++k)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">if</span> (!(y(k, k) &gt; 0.0))</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;          <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;y has non-positive diagonal&quot;</span>);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; x((K * (K + 1)) / 2);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="comment">// FIXME: see Eigen LDLT for rank-revealing version -- use that</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="comment">// even if less efficient?</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      Eigen::LLT&lt;Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; &gt;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="cov__matrix__free__lkj_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a9021324082d4241367fdd17da025a32d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9021324082d4241367fdd17da025a32d"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9021324082d4241367fdd17da025a32d">stan::math::cov_matrix_free_lkj</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a9021324082d4241367fdd17da025a32d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the vector of unconstrained partial correlations and deviations that transform to the specified covariance matrix.  <a href="namespacestan_1_1math.html#a9021324082d4241367fdd17da025a32d">More...</a><br /></td></tr>
+<tr class="separator:a9021324082d4241367fdd17da025a32d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</div><!--header-->
+<div class="contents">
+<a href="cov__matrix__free__lkj_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_COV_MATRIX_FREE_LKJ_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_COV_MATRIX_FREE_LKJ_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
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+<div class="title">csr_extract_u.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;Eigen/Sparse&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+<code>#include &lt;numeric&gt;</code><br />
+</div>
+<p><a href="csr__extract__u_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga989f196379081c782be06612b5731dcb"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ga989f196379081c782be06612b5731dcb"><td class="memTemplItemLeft" align="right" valign="top">const std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#ga989f196379081c782be06612b5731dcb">stan::math::csr_extract_u</a> (const Eigen::SparseMatrix&lt; T, Eigen::RowMajor &gt; &amp;A)</td></tr>
+<tr class="memdesc:ga989f196379081c782be06612b5731dcb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract the NZE index for each entry from a sparse matrix.  <a href="group__csr__format.html#ga989f196379081c782be06612b5731dcb">More...</a><br /></td></tr>
+<tr class="separator:ga989f196379081c782be06612b5731dcb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga221b0a757cf0703a929342d2b4cea763"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ga221b0a757cf0703a929342d2b4cea763"><td class="memTemplItemLeft" align="right" valign="top">const std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#ga221b0a757cf0703a929342d2b4cea763">stan::math::csr_extract_u</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td></tr>
+<tr class="memdesc:ga221b0a757cf0703a929342d2b4cea763"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract the NZE index for each entry from a sparse matrix.  <a href="group__csr__format.html#ga221b0a757cf0703a929342d2b4cea763">More...</a><br /></td></tr>
+<tr class="separator:ga221b0a757cf0703a929342d2b4cea763"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="csr__extract__u_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CSR_EXTRACT_U_HPP</span></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="error__index_8hpp_html"><div class="ttname"><a href="error__index_8hpp.html">error_index.hpp</a></div></div>
+<div class="ttc" id="group__csr__format_html_ga989f196379081c782be06612b5731dcb"><div class="ttname"><a href="group__csr__format.html#ga989f196379081c782be06612b5731dcb">stan::math::csr_extract_u</a></div><div class="ttdeci">const std::vector&lt; int &gt; csr_extract_u(const Eigen::SparseMatrix&lt; T, Eigen::RowMajor &gt; &amp;A)</div><div class="ttdoc">Extract the NZE index for each entry from a sparse matrix. </div><div class="ttdef"><b>Definition:</b> <a href="csr__extract__u_8hpp_source.html#l00027">csr_extract_u.hpp:27</a></div></div>
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+<div class="title">csr_extract_v.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;Eigen/Sparse&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+<code>#include &lt;numeric&gt;</code><br />
+</div>
+<p><a href="csr__extract__v_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gade78a62d0fd64b0d5da2370256cbb6e0"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:gade78a62d0fd64b0d5da2370256cbb6e0"><td class="memTemplItemLeft" align="right" valign="top">const std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#gade78a62d0fd64b0d5da2370256cbb6e0">stan::math::csr_extract_v</a> (const Eigen::SparseMatrix&lt; T, Eigen::RowMajor &gt; &amp;A)</td></tr>
+<tr class="memdesc:gade78a62d0fd64b0d5da2370256cbb6e0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract the column indexes for non-zero value from a sparse matrix.  <a href="group__csr__format.html#gade78a62d0fd64b0d5da2370256cbb6e0">More...</a><br /></td></tr>
+<tr class="separator:gade78a62d0fd64b0d5da2370256cbb6e0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga01e6e2504c5eb6d0b289aa51172cd729"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ga01e6e2504c5eb6d0b289aa51172cd729"><td class="memTemplItemLeft" align="right" valign="top">const std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#ga01e6e2504c5eb6d0b289aa51172cd729">stan::math::csr_extract_v</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td></tr>
+<tr class="memdesc:ga01e6e2504c5eb6d0b289aa51172cd729"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract the column indexes for non-zero values from a dense matrix by converting to sparse and calling the sparse matrix extractor.  <a href="group__csr__format.html#ga01e6e2504c5eb6d0b289aa51172cd729">More...</a><br /></td></tr>
+<tr class="separator:ga01e6e2504c5eb6d0b289aa51172cd729"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</div><!-- contents -->
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+  <i>&copy; 2011&ndash;2016,
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+<a href="csr__extract__v_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CSR_EXTRACT_V_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;Eigen/Sparse&gt;</code><br />
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+<p><a href="csr__extract__w_8hpp_source.html">Go to the source code of this file.</a></p>
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:gae45bfd671760b4f442d272456b2ae01c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:gae45bfd671760b4f442d272456b2ae01c"><td class="memTemplItemLeft" align="right" valign="top">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#gae45bfd671760b4f442d272456b2ae01c">stan::math::csr_extract_w</a> (const Eigen::SparseMatrix&lt; T, Eigen::RowMajor &gt; &amp;A)</td></tr>
+<tr class="separator:gae45bfd671760b4f442d272456b2ae01c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga0fdafcbb6706d2656fcf1ece6a20fad4"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ga0fdafcbb6706d2656fcf1ece6a20fad4"><td class="memTemplItemLeft" align="right" valign="top">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#ga0fdafcbb6706d2656fcf1ece6a20fad4">stan::math::csr_extract_w</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td></tr>
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+<a href="csr__extract__w_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CSR_EXTRACT_W_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_CSR_EXTRACT_W_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;Eigen/Sparse&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// #include &lt;numeric&gt;</span></div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      Eigen::SparseMatrix&lt;T, Eigen::RowMajor&gt; B = A.sparseView();</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    }</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;   <span class="comment">// end of csr_format group</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  }</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;}</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="group__csr__format_html_gae45bfd671760b4f442d272456b2ae01c"><div class="ttname"><a href="group__csr__format.html#gae45bfd671760b4f442d272456b2ae01c">stan::math::csr_extract_w</a></div><div class="ttdeci">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; csr_extract_w(const Eigen::SparseMatrix&lt; T, Eigen::RowMajor &gt; &amp;A)</div><div class="ttdef"><b>Definition:</b> <a href="csr__extract__w_8hpp_source.html#l00024">csr_extract_w.hpp:24</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="title">csr_matrix_times_vector.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="csr__u__to__z_8hpp_source.html">stan/math/prim/mat/fun/csr_u_to_z.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__range_8hpp_source.html">stan/math/prim/mat/err/check_range.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="csr__matrix__times__vector_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a9e045cbd4b736cc0cf57025b1d8f72fe"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a9e045cbd4b736cc0cf57025b1d8f72fe"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9e045cbd4b736cc0cf57025b1d8f72fe">stan::math::csr_matrix_times_vector</a> (const int &amp;m, const int &amp;n, const Eigen::Matrix&lt; T1, Eigen::Dynamic, 1 &gt; &amp;w, const std::vector&lt; int &gt; &amp;v, const std::vector&lt; int &gt; &amp;u, const Eigen::Matrix&lt; T2, Eigen::Dynamic, 1 &gt; &amp;b)</td></tr>
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+</div><!--header-->
+<div class="contents">
+<a href="csr__matrix__times__vector_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CSR_MATRIX_TIMES_VECTOR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_CSR_MATRIX_TIMES_VECTOR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="csr__u__to__z_8hpp.html">stan/math/prim/mat/fun/csr_u_to_z.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__range_8hpp.html">stan/math/prim/mat/err/check_range.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type,</div>
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+<div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9e045cbd4b736cc0cf57025b1d8f72fe">   79</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9e045cbd4b736cc0cf57025b1d8f72fe">csr_matrix_times_vector</a>(<span class="keyword">const</span> <span class="keywordtype">int</span>&amp; m,</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                            <span class="keyword">const</span> <span class="keywordtype">int</span>&amp; n,</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                            <span class="keyword">const</span> Eigen::Matrix&lt;T1, Eigen::Dynamic, 1&gt;&amp; w,</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                            <span class="keyword">const</span> std::vector&lt;int&gt;&amp; v,</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                            <span class="keyword">const</span> std::vector&lt;int&gt;&amp; u,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                            <span class="keyword">const</span> Eigen::Matrix&lt;T2, Eigen::Dynamic, 1&gt;&amp; b) {</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T1, T2&gt;::type</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        result_t;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="stringliteral">&quot;csr_matrix_times_vector&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, m);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="stringliteral">&quot;csr_matrix_times_vector&quot;</span>, <span class="stringliteral">&quot;n&quot;</span>, n);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="stringliteral">&quot;csr_matrix_times_vector&quot;</span>, <span class="stringliteral">&quot;n&quot;</span>, n, <span class="stringliteral">&quot;b&quot;</span>, b.size());</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="stringliteral">&quot;csr_matrix_times_vector&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, m, <span class="stringliteral">&quot;u&quot;</span>, u.size() - 1);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="stringliteral">&quot;csr_matrix_times_vector&quot;</span>, <span class="stringliteral">&quot;w&quot;</span>, w.size(), <span class="stringliteral">&quot;v&quot;</span>, v.size());</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="stringliteral">&quot;csr_matrix_times_vector&quot;</span>, <span class="stringliteral">&quot;u/z&quot;</span>,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                       u[m - 1] + <a class="code" href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">csr_u_to_z</a>(u, m - 1) - 1, <span class="stringliteral">&quot;v&quot;</span>, v.size());</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i &lt; v.size(); ++i)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <a class="code" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">check_range</a>(<span class="stringliteral">&quot;csr_matrix_times_vector&quot;</span>, <span class="stringliteral">&quot;v[]&quot;</span>, n, v[i]);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      Eigen::Matrix&lt;result_t, Eigen::Dynamic, 1&gt;  result(m);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      result.setZero();</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a> = 0; <a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a> &lt; m; ++<a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a>) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordtype">int</span> idx = <a class="code" href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">csr_u_to_z</a>(u, <a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a>);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keywordtype">int</span> row_end_in_w = (u[<a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a>] - <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>) + idx;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordtype">int</span> i = 0;  <span class="comment">// index into dot-product segment entries.</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        Eigen::Matrix&lt;result_t, Eigen::Dynamic, 1&gt; b_sub(idx);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        b_sub.setZero();</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> nze = u[<a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a>] - <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;             nze &lt; row_end_in_w; ++nze, ++i) {</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          <a class="code" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">check_range</a>(<span class="stringliteral">&quot;csr_matrix_times_vector&quot;</span>, <span class="stringliteral">&quot;j&quot;</span>, n, v[nze]);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          b_sub.coeffRef(i) = b.coeffRef(v[nze] - <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        }  <span class="comment">// loop skipped when z is zero.</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        Eigen::Matrix&lt;T1, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          w_sub(w.segment(u[<a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a>] - <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>, idx));</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        result.coeffRef(<a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a>) = <a class="code" href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">dot_product</a>(w_sub, b_sub);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      }</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    }</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;   <span class="comment">// end of csr_format group</span></div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;  }</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;}</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="group__csr__format_html_gaf4e1bf7c971d0b9eb931654ea309a2bf"><div class="ttname"><a href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">stan::math::csr_u_to_z</a></div><div class="ttdeci">int csr_u_to_z(const std::vector&lt; int &gt; &amp;u, int i)</div><div class="ttdoc">Return the z vector computed from the specified u vector at the index for the z vector. </div><div class="ttdef"><b>Definition:</b> <a href="csr__u__to__z_8hpp_source.html#l00024">csr_u_to_z.hpp:24</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_adcd4dcac328824f71f31d6861b8610ee"><div class="ttname"><a href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">stan::math::check_range</a></div><div class="ttdeci">bool check_range(const char *function, const char *name, const int max, const int index, const int nested_level, const char *error_msg)</div><div class="ttdoc">Return true if specified index is within range. </div><div class="ttdef"><b>Definition:</b> <a href="check__range_8hpp_source.html#l00029">check_range.hpp:29</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab98e74182d133e210dda425a689f2fb3"><div class="ttname"><a href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">stan::math::row</a></div><div class="ttdeci">Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; row(const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m, size_t i)</div><div class="ttdoc">Return the specified row of the specified matrix, using start-at-1 indexing. </div><div class="ttdef"><b>Definition:</b> <a href="row_8hpp_source.html#l00025">row.hpp:25</a></div></div>
+<div class="ttc" id="structstan_1_1error__index_html_a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112"><div class="ttname"><a href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></div><div class="ttdef"><b>Definition:</b> <a href="error__index_8hpp_source.html#l00007">error_index.hpp:7</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa547146eaac690e79a611e50a6dffb4d"><div class="ttname"><a href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a></div><div class="ttdeci">bool check_size_match(const char *function, const char *name_i, T_size1 i, const char *name_j, T_size2 j)</div><div class="ttdoc">Return true if the provided sizes match. </div><div class="ttdef"><b>Definition:</b> <a href="check__size__match_8hpp_source.html#l00030">check_size_match.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a495321127b7e0ebdd4d52654d226e16b"><div class="ttname"><a href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">stan::math::dot_product</a></div><div class="ttdeci">fvar&lt; T &gt; dot_product(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;v2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00020">dot_product.hpp:20</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="csr__u__to__z_8hpp_html"><div class="ttname"><a href="csr__u__to__z_8hpp.html">csr_u_to_z.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9e045cbd4b736cc0cf57025b1d8f72fe"><div class="ttname"><a href="namespacestan_1_1math.html#a9e045cbd4b736cc0cf57025b1d8f72fe">stan::math::csr_matrix_times_vector</a></div><div class="ttdeci">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, Eigen::Dynamic, 1 &gt; csr_matrix_times_vector(const int &amp;m, const int &amp;n, const Eigen::Matrix&lt; T1, Eigen::Dynamic, 1 &gt; &amp;w, const std::vector&lt; int &gt; &amp;v, const std::vector&lt; int &gt; &amp;u, const Eigen::Matrix&lt; T2, Eigen::Dynamic, 1 &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="csr__matrix__times__vector_8hpp_source.html#l00079">csr_matrix_times_vector.hpp:79</a></div></div>
+<div class="ttc" id="check__range_8hpp_html"><div class="ttname"><a href="check__range_8hpp.html">check_range.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+   &#160;<span id="projectnumber">2.10.0</span>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__range_8hpp_source.html">stan/math/prim/mat/err/check_range.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="csr__u__to__z_8hpp_source.html">stan/math/prim/mat/fun/csr_u_to_z.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="csr__to__dense__matrix_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:gab28ee38f5eb51242d9c9280202baff5f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:gab28ee38f5eb51242d9c9280202baff5f"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#gab28ee38f5eb51242d9c9280202baff5f">stan::math::csr_to_dense_matrix</a> (const int &amp;m, const int &amp;n, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;w, const std::vector&lt; int &gt; &amp;v, const std::vector&lt; int &gt; &amp;u)</td></tr>
+<tr class="memdesc:gab28ee38f5eb51242d9c9280202baff5f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a dense <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix from the CSR format components.  <a href="group__csr__format.html#gab28ee38f5eb51242d9c9280202baff5f">More...</a><br /></td></tr>
+<tr class="separator:gab28ee38f5eb51242d9c9280202baff5f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">csr_to_dense_matrix.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="csr__to__dense__matrix_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CSR_TO_DENSE_MATRIX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_CSR_TO_DENSE_MATRIX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__range_8hpp.html">stan/math/prim/mat/err/check_range.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="csr__u__to__z_8hpp.html">stan/math/prim/mat/fun/csr_u_to_z.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="group__csr__format.html#gab28ee38f5eb51242d9c9280202baff5f">   35</a></span>&#160;    <a class="code" href="group__csr__format.html#gab28ee38f5eb51242d9c9280202baff5f">csr_to_dense_matrix</a>(<span class="keyword">const</span> <span class="keywordtype">int</span>&amp; m,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                        <span class="keyword">const</span> <span class="keywordtype">int</span>&amp; n,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                        <span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; w,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                        <span class="keyword">const</span> std::vector&lt;int&gt;&amp; v,</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                        <span class="keyword">const</span> std::vector&lt;int&gt;&amp; u) {</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="stringliteral">&quot;csr_to_dense_matrix&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, m);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="stringliteral">&quot;csr_to_dense_matrix&quot;</span>, <span class="stringliteral">&quot;n&quot;</span>, n);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="stringliteral">&quot;csr_to_dense_matrix&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, m, <span class="stringliteral">&quot;u&quot;</span>, u.size()-1);</div>
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+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="stringliteral">&quot;csr_to_dense_matrix&quot;</span>, <span class="stringliteral">&quot;u/z&quot;</span>,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                       u[m-1] + <a class="code" href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">csr_u_to_z</a>(u, m - 1) - 1,</div>
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+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; v.size(); ++i)</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <a class="code" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">check_range</a>(<span class="stringliteral">&quot;csr_to_dense_matrix&quot;</span>, <span class="stringliteral">&quot;v[]&quot;</span>, n, v[i]);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      Matrix&lt;T, Dynamic, Dynamic&gt; result(m, n);</div>
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+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keywordtype">int</span> row_end_in_w = (u[<a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a>] - <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>)</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;          + <a class="code" href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">csr_u_to_z</a>(u, <a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a>);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <a class="code" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">check_range</a>(<span class="stringliteral">&quot;csr_to_dense_matrix&quot;</span>, <span class="stringliteral">&quot;w&quot;</span>, w.size(), row_end_in_w);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> nze = u[<a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a>] - <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;             nze &lt; row_end_in_w; ++nze) {</div>
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+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;          <a class="code" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">check_range</a>(<span class="stringliteral">&quot;csr_to_dense_matrix&quot;</span>, <span class="stringliteral">&quot;j&quot;</span>, n, v[nze]);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;          result(<a class="code" href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">row</a>, v[nze] - <a class="code" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>) = w(nze);</div>
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+<div class="title">csr_u_to_z.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__range_8hpp_source.html">stan/math/prim/mat/err/check_range.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="csr__u__to__z_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:gaf4e1bf7c971d0b9eb931654ea309a2bf"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">stan::math::csr_u_to_z</a> (const std::vector&lt; int &gt; &amp;u, int i)</td></tr>
+<tr class="memdesc:gaf4e1bf7c971d0b9eb931654ea309a2bf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the z vector computed from the specified u vector at the index for the z vector.  <a href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">More...</a><br /></td></tr>
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+<a href="csr__u__to__z_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CSR_U_TO_Z</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="cumulative__sum_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a7340f6be8ae1e121c6d854005560fef5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a7340f6be8ae1e121c6d854005560fef5"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7340f6be8ae1e121c6d854005560fef5">stan::math::cumulative_sum</a> (const std::vector&lt; T &gt; &amp;x)</td></tr>
+<tr class="memdesc:a7340f6be8ae1e121c6d854005560fef5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the cumulative sum of the specified vector.  <a href="namespacestan_1_1math.html#a7340f6be8ae1e121c6d854005560fef5">More...</a><br /></td></tr>
+<tr class="separator:a7340f6be8ae1e121c6d854005560fef5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a92fcacf229225bb313cf894cc1406a17"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a92fcacf229225bb313cf894cc1406a17"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a92fcacf229225bb313cf894cc1406a17">stan::math::cumulative_sum</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:a92fcacf229225bb313cf894cc1406a17"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the cumulative sum of the specified matrix.  <a href="namespacestan_1_1math.html#a92fcacf229225bb313cf894cc1406a17">More...</a><br /></td></tr>
+<tr class="separator:a92fcacf229225bb313cf894cc1406a17"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="cumulative__sum_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CUMULATIVE_SUM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_CUMULATIVE_SUM_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7340f6be8ae1e121c6d854005560fef5">   23</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a7340f6be8ae1e121c6d854005560fef5">cumulative_sum</a>(<span class="keyword">const</span> std::vector&lt;T&gt;&amp; x) {</div>
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+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        result(i) = m(i) + result(i-1);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordflow">return</span> result;</div>
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+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;}</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7340f6be8ae1e121c6d854005560fef5"><div class="ttname"><a href="namespacestan_1_1math.html#a7340f6be8ae1e121c6d854005560fef5">stan::math::cumulative_sum</a></div><div class="ttdeci">std::vector&lt; T &gt; cumulative_sum(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the cumulative sum of the specified vector. </div><div class="ttdef"><b>Definition:</b> <a href="cumulative__sum_8hpp_source.html#l00023">cumulative_sum.hpp:23</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="title">cvodes_ode_data.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="ode__system_8hpp_source.html">stan/math/rev/mat/functor/ode_system.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</code><br />
+<code>#include &lt;cvodes/cvodes.h&gt;</code><br />
+<code>#include &lt;cvodes/cvodes_band.h&gt;</code><br />
+<code>#include &lt;cvodes/cvodes_dense.h&gt;</code><br />
+<code>#include &lt;nvector/nvector_serial.h&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="cvodes__ode__data_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">CVODES ode data holder object which is used during CVODES integration for CVODES callbacks.  <a href="classstan_1_1math_1_1cvodes__ode__data.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">cvodes_ode_data.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="cvodes__ode__data_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUNCTOR_CVODES_ODE_DATA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUNCTOR_CVODES_ODE_DATA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ode__system_8hpp.html">stan/math/rev/mat/functor/ode_system.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2is__var_8hpp.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cvodes/cvodes.h&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cvodes/cvodes_band.h&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cvodes/cvodes_dense.h&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;nvector/nvector_serial.h&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> F, <span class="keyword">typename</span> T_initial, <span class="keyword">typename</span> T_param&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1cvodes__ode__data.html">   27</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1cvodes__ode__data.html">cvodes_ode_data</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">const</span> std::vector&lt;T_initial&gt;&amp; y0_;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">const</span> std::vector&lt;T_param&gt;&amp; theta_;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> N_;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> M_;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> param_var_ind_;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1ode__system.html">ode_system&lt;F&gt;</a> ode_system_;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">typedef</span> <a class="code" href="classstan_1_1math_1_1cvodes__ode__data.html">cvodes_ode_data&lt;F, T_initial, T_param&gt;</a> <a class="code" href="classstan_1_1math_1_1cvodes__ode__data.html">ode_data</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">typedef</span> <a class="code" href="structstan_1_1is__var.html">stan::is_var&lt;T_initial&gt;</a> <a class="code" href="structstan_1_1is__var.html">initial_var</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1cvodes__ode__data.html#ab3a92c309f8f91436e8019a95d944a16">   53</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1cvodes__ode__data.html#ab3a92c309f8f91436e8019a95d944a16">cvodes_ode_data</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                      <span class="keyword">const</span> std::vector&lt;T_initial&gt;&amp; y0,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                      <span class="keyword">const</span> std::vector&lt;T_param&gt;&amp; theta,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                      <span class="keyword">const</span> std::vector&lt;double&gt;&amp; x,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                      <span class="keyword">const</span> std::vector&lt;int&gt;&amp; x_int,</div>
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+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;          param_var_ind_(initial_var::value ? N_ : 0),</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;          ode_system_(f, <a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta), x, x_int, msgs) { }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1cvodes__ode__data.html#af3c1bc1a011996a539a4ee0f21fd771d">   66</a></span>&#160;      <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="classstan_1_1math_1_1cvodes__ode__data.html#af3c1bc1a011996a539a4ee0f21fd771d">ode_rhs</a>(<span class="keywordtype">double</span> t, N_Vector y, N_Vector ydot, <span class="keywordtype">void</span>* user_data) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keyword">const</span> ode_data* explicit_ode</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;          = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>ode_data*<span class="keyword">&gt;</span>(user_data);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        explicit_ode-&gt;rhs(NV_DATA_S(y), NV_DATA_S(ydot), t);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordflow">return</span> 0;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1cvodes__ode__data.html#a047195a59d7514745fdec2bf7a18cff6">   73</a></span>&#160;      <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="classstan_1_1math_1_1cvodes__ode__data.html#a047195a59d7514745fdec2bf7a18cff6">ode_rhs_sens</a>(<span class="keywordtype">int</span> Ns, realtype t,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                              N_Vector y, N_Vector ydot,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                              N_Vector *yS, N_Vector *ySdot, <span class="keywordtype">void</span> *user_data,</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                              N_Vector tmp1, N_Vector tmp2) {</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keyword">const</span> ode_data* explicit_ode = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>ode_data*<span class="keyword">&gt;</span>(user_data);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keyword">const</span> std::vector&lt;double&gt; y_vec(NV_DATA_S(y),</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                                        NV_DATA_S(y) + explicit_ode-&gt;N_);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        explicit_ode-&gt;rhs_sens(explicit_ode-&gt;y0_, explicit_ode-&gt;theta_,</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                               t, y_vec, yS, ySdot);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">return</span> 0;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1cvodes__ode__data.html#a77214fd101bc1df4044a706a9f79c4e9">   85</a></span>&#160;      <span class="keyword">static</span> <span class="keywordtype">int</span> <a class="code" href="classstan_1_1math_1_1cvodes__ode__data.html#a77214fd101bc1df4044a706a9f79c4e9">dense_jacobian</a>(<span class="keywordtype">long</span> <span class="keywordtype">int</span> N,  <span class="comment">// NOLINT(runtime/int)</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                                realtype t, N_Vector y, N_Vector fy,</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                                DlsMat J, <span class="keywordtype">void</span> *user_data,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                                N_Vector tmp1, N_Vector tmp2, N_Vector tmp3) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keyword">const</span> ode_data* explicit_ode = <span class="keyword">static_cast&lt;</span><span class="keyword">const </span>ode_data*<span class="keyword">&gt;</span>(user_data);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">return</span> explicit_ode-&gt;<a class="code" href="classstan_1_1math_1_1cvodes__ode__data.html#a77214fd101bc1df4044a706a9f79c4e9">dense_jacobian</a>(NV_DATA_S(y), J, t);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    <span class="keyword">private</span>:</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordtype">void</span> rhs(<span class="keyword">const</span> <span class="keywordtype">double</span> y[], <span class="keywordtype">double</span> dy_dt[], <span class="keywordtype">double</span> t)<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> std::vector&lt;double&gt; y_vec(y, y + N_);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        std::vector&lt;double&gt; dy_dt_vec(N_);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        ode_system_(t, y_vec, dy_dt_vec);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        std::copy(dy_dt_vec.begin(), dy_dt_vec.end(), dy_dt);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      }</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keywordtype">int</span> <a class="code" href="classstan_1_1math_1_1cvodes__ode__data.html#a77214fd101bc1df4044a706a9f79c4e9">dense_jacobian</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>* y, DlsMat J, <span class="keywordtype">double</span> t)<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">const</span> std::vector&lt;double&gt; y_vec(y, y + N_);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        Eigen::VectorXd fy(N_);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="comment">// Eigen and CVODES use column major addressing</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        Eigen::Map&lt;Eigen::MatrixXd&gt; Jy_map(J-&gt;data, N_, N_);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        ode_system_.<a class="code" href="classstan_1_1math_1_1ode__system.html#a449c35dbebd10583051e37e59aa130e4">jacobian</a>(t, y_vec, fy, Jy_map);</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keywordflow">return</span> 0;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      }</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">void</span> rhs_sens_initial(<span class="keyword">const</span> Eigen::MatrixXd&amp; Jy,</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                                   N_Vector *yS, N_Vector *ySdot)<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> m = 0; m &lt; N_; ++m) {</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;            Eigen::Map&lt;Eigen::VectorXd&gt; yS_eig(NV_DATA_S(yS[m]), N_);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            Eigen::Map&lt;Eigen::VectorXd&gt; ySdot_eig(NV_DATA_S(ySdot[m]), N_);</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;            ySdot_eig = Jy * yS_eig;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          }</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      }</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">void</span> rhs_sens_param(<span class="keyword">const</span> Eigen::MatrixXd&amp; Jy,</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                                 <span class="keyword">const</span> Eigen::MatrixXd&amp; Jtheta,</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;                                 N_Vector *yS, N_Vector *ySdot)<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keyword">using</span> Eigen::VectorXd;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> m = 0; m &lt; M_; ++m) {</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          Map&lt;VectorXd&gt; yS_eig(NV_DATA_S(yS[param_var_ind_ + m]), N_);</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;          Map&lt;VectorXd&gt; ySdot_eig(NV_DATA_S(ySdot[param_var_ind_ + m]), N_);</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          ySdot_eig = Jy * yS_eig + Jtheta.col(m);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        }</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      }</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      <span class="keywordtype">void</span> rhs_sens(<span class="keyword">const</span> std::vector&lt;stan::math::var&gt;&amp; initial,</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                    <span class="keyword">const</span> std::vector&lt;stan::math::var&gt;&amp; param,</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                    <span class="keyword">const</span> <span class="keywordtype">double</span> t, <span class="keyword">const</span> std::vector&lt;double&gt;&amp; y,</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                    N_Vector *yS, N_Vector *ySdot)<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        Eigen::VectorXd dy_dt(N_);</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        Eigen::MatrixXd Jy(N_, N_);</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        Eigen::MatrixXd Jtheta(N_, M_);</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;        ode_system_.<a class="code" href="classstan_1_1math_1_1ode__system.html#a449c35dbebd10583051e37e59aa130e4">jacobian</a>(t, y, dy_dt, Jy, Jtheta);</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;        rhs_sens_initial(Jy, yS, ySdot);</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        rhs_sens_param(Jy, Jtheta, yS, ySdot);</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;      }</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;      <span class="keywordtype">void</span> rhs_sens(<span class="keyword">const</span> std::vector&lt;double&gt;&amp; initial,</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;                    <span class="keyword">const</span> std::vector&lt;stan::math::var&gt;&amp; param,</div>
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+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;                    N_Vector *yS, N_Vector *ySdot)<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        Eigen::VectorXd dy_dt(N_);</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        Eigen::MatrixXd Jy(N_, N_);</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;        Eigen::MatrixXd Jtheta(N_, M_);</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;        ode_system_.<a class="code" href="classstan_1_1math_1_1ode__system.html#a449c35dbebd10583051e37e59aa130e4">jacobian</a>(t, y, dy_dt, Jy, Jtheta);</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        rhs_sens_param(Jy, Jtheta, yS, ySdot);</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;      }</div>
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+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;      <span class="keywordtype">void</span> rhs_sens(<span class="keyword">const</span> std::vector&lt;stan::math::var&gt;&amp; initial,</div>
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+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;        Eigen::VectorXd dy_dt(N_);</div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;        Eigen::MatrixXd Jy(N_, N_);</div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;        ode_system_.<a class="code" href="classstan_1_1math_1_1ode__system.html#a449c35dbebd10583051e37e59aa130e4">jacobian</a>(t, y, dy_dt, Jy);</div>
+<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;        rhs_sens_initial(Jy, yS, ySdot);</div>
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+<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;                    <span class="keyword">const</span> <span class="keywordtype">double</span> t, <span class="keyword">const</span> std::vector&lt;double&gt;&amp; y,</div>
+<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;                    N_Vector *yS, N_Vector *ySdot)<span class="keyword"> const </span>{</div>
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+<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;    };</div>
+<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;</div>
+<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;  }</div>
+<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;}</div>
+<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1is__var_html"><div class="ttname"><a href="structstan_1_1is__var.html">stan::is_var</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2is__var_8hpp_source.html#l00007">is_var.hpp:7</a></div></div>
+<div class="ttc" id="ode__system_8hpp_html"><div class="ttname"><a href="ode__system_8hpp.html">ode_system.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1cvodes__ode__data_html_a047195a59d7514745fdec2bf7a18cff6"><div class="ttname"><a href="classstan_1_1math_1_1cvodes__ode__data.html#a047195a59d7514745fdec2bf7a18cff6">stan::math::cvodes_ode_data::ode_rhs_sens</a></div><div class="ttdeci">static int ode_rhs_sens(int Ns, realtype t, N_Vector y, N_Vector ydot, N_Vector *yS, N_Vector *ySdot, void *user_data, N_Vector tmp1, N_Vector tmp2)</div><div class="ttdef"><b>Definition:</b> <a href="cvodes__ode__data_8hpp_source.html#l00073">cvodes_ode_data.hpp:73</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1ode__system_html_a449c35dbebd10583051e37e59aa130e4"><div class="ttname"><a href="classstan_1_1math_1_1ode__system.html#a449c35dbebd10583051e37e59aa130e4">stan::math::ode_system::jacobian</a></div><div class="ttdeci">void jacobian(const double t, const std::vector&lt; double &gt; &amp;y, Eigen::MatrixBase&lt; Derived1 &gt; &amp;dy_dt, Eigen::MatrixBase&lt; Derived2 &gt; &amp;Jy) const </div><div class="ttdoc">Calculate the Jacobian of the ODE RHS wrt to states y. </div><div class="ttdef"><b>Definition:</b> <a href="ode__system_8hpp_source.html#l00067">ode_system.hpp:67</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1cvodes__ode__data_html"><div class="ttname"><a href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data</a></div><div class="ttdoc">CVODES ode data holder object which is used during CVODES integration for CVODES callbacks. </div><div class="ttdef"><b>Definition:</b> <a href="cvodes__ode__data_8hpp_source.html#l00027">cvodes_ode_data.hpp:27</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1ode__system_html"><div class="ttname"><a href="classstan_1_1math_1_1ode__system.html">stan::math::ode_system</a></div><div class="ttdoc">Internal representation of an ODE model object which provides convenient Jacobian functions to obtain...</div><div class="ttdef"><b>Definition:</b> <a href="ode__system_8hpp_source.html#l00021">ode_system.hpp:21</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1cvodes__ode__data_html_ab3a92c309f8f91436e8019a95d944a16"><div class="ttname"><a href="classstan_1_1math_1_1cvodes__ode__data.html#ab3a92c309f8f91436e8019a95d944a16">stan::math::cvodes_ode_data::cvodes_ode_data</a></div><div class="ttdeci">cvodes_ode_data(const F &amp;f, const std::vector&lt; T_initial &gt; &amp;y0, const std::vector&lt; T_param &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</div><div class="ttdoc">Construct CVODES ode data object to enable callbacks from CVODES during ODE integration. </div><div class="ttdef"><b>Definition:</b> <a href="cvodes__ode__data_8hpp_source.html#l00053">cvodes_ode_data.hpp:53</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
+<div class="ttc" id="rev_2scal_2meta_2is__var_8hpp_html"><div class="ttname"><a href="rev_2scal_2meta_2is__var_8hpp.html">is_var.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;cvodes/cvodes.h&gt;</code><br />
+<code>#include &lt;cvodes/cvodes_band.h&gt;</code><br />
+<code>#include &lt;cvodes/cvodes_dense.h&gt;</code><br />
+<code>#include &lt;nvector/nvector_serial.h&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="cvodes__utils_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:a6214fcce7dba5e79a0acb0dc6180c06e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="cvodes__utils_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUNCTOR_CVODES_UTILS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUNCTOR_CVODES_UTILS_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;cvodes/cvodes.h&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;cvodes/cvodes_band.h&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cvodes/cvodes_dense.h&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;nvector/nvector_serial.h&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;sstream&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="comment">// no-op error handler to silence CVodes error output;  errors handled</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="comment">// directly by Stan</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">extern</span> <span class="stringliteral">&quot;C&quot;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6214fcce7dba5e79a0acb0dc6180c06e">   18</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#a6214fcce7dba5e79a0acb0dc6180c06e">cvodes_silent_err_handler</a>(<span class="keywordtype">int</span> error_code, <span class="keyword">const</span> <span class="keywordtype">char</span> *module,</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                                   <span class="keyword">const</span> <span class="keywordtype">char</span> *<span class="keyword">function</span>, <span class="keywordtype">char</span> *msg,</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                                   <span class="keywordtype">void</span> *eh_data) {</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                                   <span class="keywordtype">long</span> <span class="keywordtype">int</span> max_num_steps) {</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                        <span class="stringliteral">&quot;CVodeSetMaxNumSteps&quot;</span>);</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
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+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                        <span class="stringliteral">&quot;CVodeSetMaxConvFails&quot;</span>);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  }</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;}</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1eaa439c773642486cf1b19ab721810d"><div class="ttname"><a href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">stan::math::cvodes_check_flag</a></div><div class="ttdeci">void cvodes_check_flag(int flag, const std::string &amp;func_name)</div><div class="ttdef"><b>Definition:</b> <a href="cvodes__utils_8hpp_source.html#l00023">cvodes_utils.hpp:23</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6214fcce7dba5e79a0acb0dc6180c06e"><div class="ttname"><a href="namespacestan_1_1math.html#a6214fcce7dba5e79a0acb0dc6180c06e">stan::math::cvodes_silent_err_handler</a></div><div class="ttdeci">void cvodes_silent_err_handler(int error_code, const char *module, const char *function, char *msg, void *eh_data)</div><div class="ttdef"><b>Definition:</b> <a href="cvodes__utils_8hpp_source.html#l00018">cvodes_utils.hpp:18</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="vari_8hpp_source.html">stan/math/rev/core/vari.hpp</a>&gt;</code><br />
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+<a href="ddv__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_DDV_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_DDV_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
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+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a07efa0f5060e1cbb91ac02a3936b4a1f"><td class="memTemplParams" colspan="2">template&lt;typename T_initial , typename T_param &gt; </td></tr>
+<tr class="memitem:a07efa0f5060e1cbb91ac02a3936b4a1f"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt; T_initial, T_param &gt;::type &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a07efa0f5060e1cbb91ac02a3936b4a1f">stan::math::decouple_ode_states</a> (const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y, const std::vector&lt; T_initial &gt; &amp;y0, const std::vector&lt; T_param &gt; &amp;theta)</td></tr>
+<tr class="memdesc:a07efa0f5060e1cbb91ac02a3936b4a1f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Takes sensitivity output from integrators and returns results in precomputed_gradients format.  <a href="namespacestan_1_1math.html#a07efa0f5060e1cbb91ac02a3936b4a1f">More...</a><br /></td></tr>
+<tr class="separator:a07efa0f5060e1cbb91ac02a3936b4a1f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6b3e59d7a21e833495994a0fba56ebf7"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
+<tr class="memitem:a6b3e59d7a21e833495994a0fba56ebf7"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; double &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6b3e59d7a21e833495994a0fba56ebf7">stan::math::decouple_ode_states</a> (const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y, const std::vector&lt; double &gt; &amp;y0, const std::vector&lt; double &gt; &amp;theta)</td></tr>
+<tr class="memdesc:a6b3e59d7a21e833495994a0fba56ebf7"><td class="mdescLeft">&#160;</td><td class="mdescRight">The decouple ODE states operation for the case of no sensitivities is equal to the indentity operation.  <a href="namespacestan_1_1math.html#a6b3e59d7a21e833495994a0fba56ebf7">More...</a><br /></td></tr>
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+<a href="decouple__ode__states_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_ARR_FUN_DECOUPLE_ODE_STATES_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_ARR_FUN_DECOUPLE_ODE_STATES_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2is__var_8hpp.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_initial, <span class="keyword">typename</span> T_param&gt;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    std::vector&lt;std::vector&lt;<span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T_initial,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                                                       T_param&gt;::type&gt; &gt;</div>
+<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a07efa0f5060e1cbb91ac02a3936b4a1f">   38</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a07efa0f5060e1cbb91ac02a3936b4a1f">decouple_ode_states</a>(<span class="keyword">const</span> std::vector&lt;std::vector&lt;double&gt; &gt;&amp; y,</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                        <span class="keyword">const</span> std::vector&lt;T_initial&gt;&amp; y0,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                        <span class="keyword">const</span> std::vector&lt;T_param&gt;&amp; theta) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> std::vector;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a2ae0c4c9c64db8bb166f67caf352b35f">stan::math::precomputed_gradients</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      vector&lt;typename stan::return_type&lt;T_initial, T_param&gt;::type&gt; vars;</div>
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+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> S = (initial_var::value ? N : 0)</div>
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+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
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+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">if</span> (initial_var::value)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        vars.insert(vars.end(), y0.begin(), y0.end());</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keywordflow">if</span> (param_var::value)</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        vars.insert(vars.end(), theta.begin(), theta.end());</div>
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+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      vector&lt;var&gt; temp_vars(N);</div>
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+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = 0; k &lt; S; ++k) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            temp_gradients[k] = y[i][N + N * k + j];</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;          }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;          temp_vars[j] = <a class="code" href="namespacestan_1_1math.html#a2ae0c4c9c64db8bb166f67caf352b35f">precomputed_gradients</a>(y[i][j],</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                                               vars, temp_gradients);</div>
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+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keywordflow">return</span> y_return;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    <span class="keyword">template</span> &lt;&gt;</div>
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+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    std::vector&lt;std::vector&lt;double&gt; &gt;</div>
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+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                        <span class="keyword">const</span> std::vector&lt;double&gt;&amp; y0,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                        <span class="keyword">const</span> std::vector&lt;double&gt;&amp; theta) {</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">return</span> y;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  }</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;}</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1is__var_html"><div class="ttname"><a href="structstan_1_1is__var.html">stan::is_var</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2is__var_8hpp_source.html#l00007">is_var.hpp:7</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html"><div class="ttname"><a href="structstan_1_1return__type.html">stan::return_type</a></div><div class="ttdoc">Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of...</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00019">return_type.hpp:19</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a07efa0f5060e1cbb91ac02a3936b4a1f"><div class="ttname"><a href="namespacestan_1_1math.html#a07efa0f5060e1cbb91ac02a3936b4a1f">stan::math::decouple_ode_states</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; typename stan::return_type&lt; T_initial, T_param &gt;::type &gt; &gt; decouple_ode_states(const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y, const std::vector&lt; T_initial &gt; &amp;y0, const std::vector&lt; T_param &gt; &amp;theta)</div><div class="ttdoc">Takes sensitivity output from integrators and returns results in precomputed_gradients format...</div><div class="ttdef"><b>Definition:</b> <a href="decouple__ode__states_8hpp_source.html#l00038">decouple_ode_states.hpp:38</a></div></div>
+<div class="ttc" id="rev_2scal_2meta_2is__var_8hpp_html"><div class="ttname"><a href="rev_2scal_2meta_2is__var_8hpp.html">is_var.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">derivative.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="derivative_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0597dca74b96a4287c6f848489288d44"><td class="memTemplParams" colspan="2">template&lt;typename T , typename F &gt; </td></tr>
+<tr class="memitem:a0597dca74b96a4287c6f848489288d44"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0597dca74b96a4287c6f848489288d44">stan::math::derivative</a> (const F &amp;f, const T &amp;x, T &amp;fx, T &amp;dfx_dx)</td></tr>
+<tr class="memdesc:a0597dca74b96a4287c6f848489288d44"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the derivative of the specified univariate function at the specified argument.  <a href="namespacestan_1_1math.html#a0597dca74b96a4287c6f848489288d44">More...</a><br /></td></tr>
+<tr class="separator:a0597dca74b96a4287c6f848489288d44"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="diag__matrix_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a8174ad2b40453c1bfcbdf59bf76e030d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8174ad2b40453c1bfcbdf59bf76e030d"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8174ad2b40453c1bfcbdf59bf76e030d">stan::math::diag_matrix</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;v)</td></tr>
+<tr class="memdesc:a8174ad2b40453c1bfcbdf59bf76e030d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a square diagonal matrix with the specified vector of coefficients as the diagonal values.  <a href="namespacestan_1_1math.html#a8174ad2b40453c1bfcbdf59bf76e030d">More...</a><br /></td></tr>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8174ad2b40453c1bfcbdf59bf76e030d"><div class="ttname"><a href="namespacestan_1_1math.html#a8174ad2b40453c1bfcbdf59bf76e030d">stan::math::diag_matrix</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; diag_matrix(const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;v)</div><div class="ttdoc">Return a square diagonal matrix with the specified vector of coefficients as the diagonal values...</div><div class="ttdef"><b>Definition:</b> <a href="diag__matrix_8hpp_source.html#l00018">diag_matrix.hpp:18</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="diag__post__multiply_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ada475ab6293a9b7e5d3e6c1f92315008"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:ada475ab6293a9b7e5d3e6c1f92315008"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ada475ab6293a9b7e5d3e6c1f92315008">stan::math::diag_post_multiply</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;m1, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;m2)</td></tr>
+<tr class="separator:ada475ab6293a9b7e5d3e6c1f92315008"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="diag__post__multiply_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_DIAG_POST_MULTIPLY_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_DIAG_POST_MULTIPLY_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="diag__pre__multiply_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a97acdd27ef5fca2cd111010f6fccf6b8"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a97acdd27ef5fca2cd111010f6fccf6b8"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R2, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a97acdd27ef5fca2cd111010f6fccf6b8">stan::math::diag_pre_multiply</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;m1, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;m2)</td></tr>
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+<div class="contents">
+<a href="diag__pre__multiply_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_DIAG_PRE_MULTIPLY_HPP</span></div>
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+<div class="title">diagonal.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="diagonal_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a2e96160f66cf84ab9a4bae027645e5a5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a2e96160f66cf84ab9a4bae027645e5a5"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2e96160f66cf84ab9a4bae027645e5a5">stan::math::diagonal</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</td></tr>
+<tr class="memdesc:a2e96160f66cf84ab9a4bae027645e5a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a column vector of the diagonal elements of the specified matrix.  <a href="namespacestan_1_1math.html#a2e96160f66cf84ab9a4bae027645e5a5">More...</a><br /></td></tr>
+<tr class="separator:a2e96160f66cf84ab9a4bae027645e5a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a2b9073e39033e56eb31344091f0170fd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a2b9073e39033e56eb31344091f0170fd"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2b9073e39033e56eb31344091f0170fd">stan::math::dims</a> (const T &amp;x, std::vector&lt; int &gt; &amp;result)</td></tr>
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+<tr class="memitem:af95a2dcde478c06e3543511821618902"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:af95a2dcde478c06e3543511821618902"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af95a2dcde478c06e3543511821618902">stan::math::dims</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;x, std::vector&lt; int &gt; &amp;result)</td></tr>
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+<tr class="memitem:a467589eef4220a87d457c8a268a1fd5d"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a467589eef4220a87d457c8a268a1fd5d">stan::math::dims</a> (const std::vector&lt; T &gt; &amp;x, std::vector&lt; int &gt; &amp;result)</td></tr>
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+<tr class="memitem:a33777ee768c7032331ca8b92e5323384"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a33777ee768c7032331ca8b92e5323384"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a33777ee768c7032331ca8b92e5323384">stan::math::dims</a> (const T &amp;x)</td></tr>
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+<div class="title">dims.hpp</div>  </div>
+</div><!--header-->
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+<a href="dims_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_DIMS_HPP</span></div>
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+<div class="title">dirichlet_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__simplex_8hpp_source.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+</div>
+<p><a href="dirichlet__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a301c4fce1eeb151070f72a81c33ccde4"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_prob , typename T_prior_sample_size &gt; </td></tr>
+<tr class="memitem:a301c4fce1eeb151070f72a81c33ccde4"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob, T_prior_sample_size &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a301c4fce1eeb151070f72a81c33ccde4">stan::math::dirichlet_log</a> (const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta, const Eigen::Matrix&lt; T_prior_sample_size, Eigen::Dynamic, 1 &gt; &amp;alpha)</td></tr>
+<tr class="memdesc:a301c4fce1eeb151070f72a81c33ccde4"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of the Dirichlet density for the given theta and a vector of prior sample sizes, alpha.  <a href="namespacestan_1_1math.html#a301c4fce1eeb151070f72a81c33ccde4">More...</a><br /></td></tr>
+<tr class="separator:a301c4fce1eeb151070f72a81c33ccde4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a610a90b8b664189d397c8549c2aa0214"><td class="memTemplParams" colspan="2">template&lt;typename T_prob , typename T_prior_sample_size &gt; </td></tr>
+<tr class="memitem:a610a90b8b664189d397c8549c2aa0214"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob, T_prior_sample_size &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a610a90b8b664189d397c8549c2aa0214">stan::math::dirichlet_log</a> (const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta, const Eigen::Matrix&lt; T_prior_sample_size, Eigen::Dynamic, 1 &gt; &amp;alpha)</td></tr>
+<tr class="separator:a610a90b8b664189d397c8549c2aa0214"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">dirichlet_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="dirichlet__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_DIRICHLET_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_DIRICHLET_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__simplex_8hpp.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;              <span class="keyword">typename</span> T_prob, <span class="keyword">typename</span> T_prior_sample_size&gt;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob, T_prior_sample_size&gt;::type</div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a301c4fce1eeb151070f72a81c33ccde4">   46</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a301c4fce1eeb151070f72a81c33ccde4">dirichlet_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp; theta,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                  <span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                  &lt;T_prior_sample_size, Eigen::Dynamic, 1&gt;&amp; alpha) {</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::dirichlet_log&quot;</span>);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">boost::math::lgamma</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math::check_simplex</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">typename</span> promote_args&lt;T_prob, T_prior_sample_size&gt;::type lp(0.0);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;probabilities&quot;</span>, theta,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;prior sample sizes&quot;</span>, alpha);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;prior sample sizes&quot;</span>, alpha);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">check_simplex</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;probabilities&quot;</span>, theta);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_prior_sample_size&gt;::value</a>) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(alpha.sum());</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; alpha.rows(); ++k)</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;          lp -= <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(alpha[k]);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_prob, T_prior_sample_size&gt;::value</a>) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; theta.rows(); ++k)</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;          lp += <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">multiply_log</a>(alpha[k]-1, theta[k]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      }</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    }</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_prob, <span class="keyword">typename</span> T_prior_sample_size&gt;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob, T_prior_sample_size&gt;::type</div>
+<div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a610a90b8b664189d397c8549c2aa0214">   79</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a301c4fce1eeb151070f72a81c33ccde4">dirichlet_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp; theta,</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                  <span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                  &lt;T_prior_sample_size, Eigen::Dynamic, 1&gt;&amp; alpha) {</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordflow">return</span> dirichlet_log&lt;false&gt;(theta, alpha);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;  }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;}</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__simplex_8hpp_html"><div class="ttname"><a href="check__simplex_8hpp.html">check_simplex.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aead76f03bdbc60484ad760fc31bad40f"><div class="ttname"><a href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a></div><div class="ttdeci">fvar&lt; T &gt; lgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">lgamma.hpp:15</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a301c4fce1eeb151070f72a81c33ccde4"><div class="ttname"><a href="namespacestan_1_1math.html#a301c4fce1eeb151070f72a81c33ccde4">stan::math::dirichlet_log</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T_prob, T_prior_sample_size &gt;::type dirichlet_log(const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta, const Eigen::Matrix&lt; T_prior_sample_size, Eigen::Dynamic, 1 &gt; &amp;alpha)</div><div class="ttdoc">The log of the Dirichlet density for the given theta and a vector of prior sample sizes...</div><div class="ttdef"><b>Definition:</b> <a href="dirichlet__log_8hpp_source.html#l00046">dirichlet_log.hpp:46</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a055efd6bb49a1df5ea4da98d1078d0e6"><div class="ttname"><a href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a></div><div class="ttdeci">fvar&lt; T &gt; multiply_log(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2multiply__log_8hpp_source.html#l00015">multiply_log.hpp:15</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6affd19d4999c427291a2bbb07bce304"><div class="ttname"><a href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math::check_simplex</a></div><div class="ttdeci">bool check_simplex(const char *function, const char *name, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</div><div class="ttdoc">Return true if the specified vector is simplex. </div><div class="ttdef"><b>Definition:</b> <a href="check__simplex_8hpp_source.html#l00041">check_simplex.hpp:41</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/uniform_real_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__simplex_8hpp_source.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/mat/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="dirichlet__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:acb288324f889b7da57f2960570f459ea"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:acb288324f889b7da57f2960570f459ea"><td class="memTemplItemLeft" align="right" valign="top">Eigen::VectorXd&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acb288324f889b7da57f2960570f459ea">stan::math::dirichlet_rng</a> (const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;alpha, RNG &amp;rng)</td></tr>
+<tr class="memdesc:acb288324f889b7da57f2960570f459ea"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a draw from a Dirichlet distribution with specified parameters and pseudo-random number generator.  <a href="namespacestan_1_1math.html#acb288324f889b7da57f2960570f459ea">More...</a><br /></td></tr>
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+<div class="title">dirichlet_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="dirichlet__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_DIRICHLET_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_DIRICHLET_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_real_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__simplex_8hpp.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__sum__exp_8hpp.html">stan/math/prim/mat/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <span class="keyword">inline</span> Eigen::VectorXd</div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#acb288324f889b7da57f2960570f459ea">   46</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#acb288324f889b7da57f2960570f459ea">dirichlet_rng</a>(<span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; alpha,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                  RNG&amp; rng) {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> boost::gamma_distribution;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> boost::random::uniform_real_distribution;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> Eigen::VectorXd;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="comment">// separate algorithm if any parameter is less than 1</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordflow">if</span> (alpha.minCoeff() &lt; 1) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        variate_generator&lt;RNG&amp;, uniform_real_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;          <a class="code" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">uniform_rng</a>(rng, uniform_real_distribution&lt;&gt;(0.0, 1.0));</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        VectorXd log_y(alpha.size());</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; alpha.size(); ++i) {</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;          variate_generator&lt;RNG&amp;, gamma_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            <a class="code" href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">gamma_rng</a>(rng, gamma_distribution&lt;&gt;(alpha(i) + 1, 1));</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;          <span class="keywordtype">double</span> log_u = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">uniform_rng</a>());</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;          log_y(i) = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">gamma_rng</a>()) + log_u / alpha(i);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keywordtype">double</span> log_sum_y = <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(log_y);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        VectorXd theta(alpha.size());</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; alpha.size(); ++i)</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;          theta(i) = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(log_y(i) - log_sum_y);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordflow">return</span> theta;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="comment">// standard normalized gamma algorithm</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      Eigen::VectorXd y(alpha.rows());</div>
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+<div class="textblock"><code>#include &lt;vector&gt;</code><br />
+<code>#include &lt;cstddef&gt;</code><br />
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+<a href="dist_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUN_DIST_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae86020a972c6efc6b3407c3cfc30f4a6"><div class="ttname"><a href="namespacestan_1_1math.html#ae86020a972c6efc6b3407c3cfc30f4a6">stan::math::dist</a></div><div class="ttdeci">double dist(const std::vector&lt; double &gt; &amp;x, const std::vector&lt; double &gt; &amp;y)</div><div class="ttdef"><b>Definition:</b> <a href="dist_8hpp_source.html#l00011">dist.hpp:11</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2squared__distance_8hpp_source.html">stan/math/prim/mat/fun/squared_distance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
+</div>
+<p><a href="distance_8hpp_source.html">Go to the source code of this file.</a></p>
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:acc0a62287bdf0c0420386fccc0a13ca9"><td class="memTemplParams" colspan="2">template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </td></tr>
+<tr class="memitem:acc0a62287bdf0c0420386fccc0a13ca9"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acc0a62287bdf0c0420386fccc0a13ca9">stan::math::distance</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;v2)</td></tr>
+<tr class="memdesc:acc0a62287bdf0c0420386fccc0a13ca9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the distance between the specified vectors.  <a href="namespacestan_1_1math.html#acc0a62287bdf0c0420386fccc0a13ca9">More...</a><br /></td></tr>
+<tr class="separator:acc0a62287bdf0c0420386fccc0a13ca9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="distance_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_DISTANCE_HPP</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;typeinfo&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="domain__error_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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+<tr class="memitem:aeebafad688145fc64353e4f455d014bd"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a> (const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</td></tr>
+<tr class="memdesc:aeebafad688145fc64353e4f455d014bd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw a domain error with a consistently formatted message.  <a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">More...</a><br /></td></tr>
+<tr class="separator:aeebafad688145fc64353e4f455d014bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a108d489a4a749c8e429b519d9e26c157"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw a domain error with a consistently formatted message.  <a href="namespacestan_1_1math.html#a108d489a4a749c8e429b519d9e26c157">More...</a><br /></td></tr>
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+<a href="domain__error_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_DOMAIN_ERROR_HPP</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a108d489a4a749c8e429b519d9e26c157"><div class="ttname"><a href="namespacestan_1_1math.html#a108d489a4a749c8e429b519d9e26c157">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00067">domain_error.hpp:67</a></div></div>
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+<div class="title">domain_error_vec.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2value__type_8hpp_source.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2get_8hpp_source.html">stan/math/prim/scal/meta/get.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="domain__error__vec_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a7c23bfe9ebcb5747ed175a59b2182072"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a7c23bfe9ebcb5747ed175a59b2182072"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">stan::math::domain_error_vec</a> (const char *function, const char *name, const T &amp;y, const size_t i, const char *msg1, const char *msg2)</td></tr>
+<tr class="memdesc:a7c23bfe9ebcb5747ed175a59b2182072"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw a domain error with a consistently formatted message.  <a href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">More...</a><br /></td></tr>
+<tr class="separator:a7c23bfe9ebcb5747ed175a59b2182072"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae3f55be80da8ff729d5850c653d2b28d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ae3f55be80da8ff729d5850c653d2b28d"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae3f55be80da8ff729d5850c653d2b28d">stan::math::domain_error_vec</a> (const char *function, const char *name, const T &amp;y, const size_t i, const char *msg)</td></tr>
+<tr class="memdesc:ae3f55be80da8ff729d5850c653d2b28d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw a domain error with a consistently formatted message.  <a href="namespacestan_1_1math.html#ae3f55be80da8ff729d5850c653d2b28d">More...</a><br /></td></tr>
+<tr class="separator:ae3f55be80da8ff729d5850c653d2b28d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+</div><!-- contents -->
+<hr/>
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+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </span>
+</div>
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+<div class="title">domain_error_vec.hpp</div>  </div>
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+<a href="domain__error__vec_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_DOMAIN_ERROR_VEC_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_DOMAIN_ERROR_VEC_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2value__type_8hpp.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</span></div>
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+<div class="ttc" id="scal_2meta_2value__type_8hpp_html"><div class="ttname"><a href="scal_2meta_2value__type_8hpp.html">value_type.hpp</a></div></div>
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+<div class="ttc" id="error__index_8hpp_html"><div class="ttname"><a href="error__index_8hpp.html">error_index.hpp</a></div></div>
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+<a href="#namespaces">Namespaces</a> &#124;
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+<div class="contents">
+<div class="textblock"><code>#include &lt;vector&gt;</code><br />
+<code>#include &lt;cstddef&gt;</code><br />
+</div>
+<p><a href="dot_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:afd3b73319bd8df9dad1d3902997d8e89"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afd3b73319bd8df9dad1d3902997d8e89">stan::math::dot</a> (const std::vector&lt; double &gt; &amp;x, const std::vector&lt; double &gt; &amp;y)</td></tr>
+<tr class="separator:afd3b73319bd8df9dad1d3902997d8e89"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="dot_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUN_DOT_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sign_8hpp_source.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="double__exponential__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:ab670b33f7d9f8cd15406cce67ffbe2c9"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:ab670b33f7d9f8cd15406cce67ffbe2c9"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab670b33f7d9f8cd15406cce67ffbe2c9">stan::math::double_exponential_ccdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:ab670b33f7d9f8cd15406cce67ffbe2c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="double__exponential__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_DOUBLE_EXPONENTIAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_DOUBLE_EXPONENTIAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="sign_8hpp.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab670b33f7d9f8cd15406cce67ffbe2c9">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab670b33f7d9f8cd15406cce67ffbe2c9">double_exponential_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                                <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::double_exponential_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">return</span> ccdf_log;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Scale Parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> log_half = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(0.5);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl) / sigma_dbl;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> T_partials_return inv_sigma = 1.0 / sigma_dbl;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (y_dbl &lt; mu_dbl) {</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          <span class="comment">// log ccdf</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          ccdf_log += <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(0.5 * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(scaled_diff));</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;          <span class="keyword">const</span> T_partials_return rep_deriv = 1.0</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            / (2.0 * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff) - 1.0);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= rep_deriv * inv_sigma;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += rep_deriv * inv_sigma;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += rep_deriv * scaled_diff</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;              * inv_sigma;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="comment">// log ccdf</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          ccdf_log += log_half - scaled_diff;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= inv_sigma;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += inv_sigma;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += scaled_diff * inv_sigma;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        }</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      }</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(ccdf_log);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    }</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;}</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
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+<div class="title">double_exponential_cdf.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sign_8hpp_source.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="double__exponential__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a658493a49a4e83ac55393a5d43c47ba7"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a658493a49a4e83ac55393a5d43c47ba7"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a658493a49a4e83ac55393a5d43c47ba7">stan::math::double_exponential_cdf</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="memdesc:a658493a49a4e83ac55393a5d43c47ba7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the double exponential cumulative density function.  <a href="namespacestan_1_1math.html#a658493a49a4e83ac55393a5d43c47ba7">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">double_exponential_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="double__exponential__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_DOUBLE_EXPONENTIAL_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_DOUBLE_EXPONENTIAL_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="sign_8hpp.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a658493a49a4e83ac55393a5d43c47ba7">   40</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a658493a49a4e83ac55393a5d43c47ba7">double_exponential_cdf</a>(<span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                           <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::double_exponential_cdf&quot;</span>);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma) ) )</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      T_partials_return cdf(1.0);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="comment">// cdf</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl) / (sigma_dbl);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keyword">const</span> T_partials_return exp_scaled_diff = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(scaled_diff);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">if</span> (y_dbl &lt; mu_dbl)</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          cdf *= exp_scaled_diff * 0.5;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          cdf *= 1.0 - 0.5 / exp_scaled_diff;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl) / sigma_dbl;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keyword">const</span> T_partials_return exp_scaled_diff = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(scaled_diff);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return inv_sigma = 1.0 / sigma_dbl;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">if</span> (y_dbl &lt; mu_dbl) {</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += inv_sigma * cdf;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= inv_sigma * cdf;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= scaled_diff * inv_sigma  * cdf;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          <span class="keyword">const</span> T_partials_return rep_deriv = cdf * inv_sigma</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            / (2.0 * exp_scaled_diff - 1.0);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= rep_deriv;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv * scaled_diff;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        }</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      }</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    }</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  }</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;}</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a658493a49a4e83ac55393a5d43c47ba7"><div class="ttname"><a href="namespacestan_1_1math.html#a658493a49a4e83ac55393a5d43c47ba7">stan::math::double_exponential_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type double_exponential_cdf(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdoc">Calculates the double exponential cumulative density function. </div><div class="ttdef"><b>Definition:</b> <a href="double__exponential__cdf_8hpp_source.html#l00040">double_exponential_cdf.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="sign_8hpp_html"><div class="ttname"><a href="sign_8hpp.html">sign.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="title">double_exponential_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sign_8hpp_source.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="double__exponential__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aa71f7d99df6f1817ad1badc771e30a5e"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:aa71f7d99df6f1817ad1badc771e30a5e"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa71f7d99df6f1817ad1badc771e30a5e">stan::math::double_exponential_cdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
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+<div class="title">double_exponential_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="double__exponential__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_DOUBLE_EXPONENTIAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_DOUBLE_EXPONENTIAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="sign_8hpp.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa71f7d99df6f1817ad1badc771e30a5e">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa71f7d99df6f1817ad1badc771e30a5e">double_exponential_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                               <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::double_exponential_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">return</span> cdf_log;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Scale Parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> log_half = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(0.5);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl) / sigma_dbl;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> T_partials_return inv_sigma = 1.0 / sigma_dbl;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (y_dbl &lt; mu_dbl) {</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          <span class="comment">// log cdf</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          cdf_log += log_half + scaled_diff;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += inv_sigma;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= inv_sigma;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= scaled_diff * inv_sigma;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          <span class="comment">// log cdf</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          cdf_log += <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(0.5 * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff));</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          <span class="keyword">const</span> T_partials_return rep_deriv = 1.0</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;            / (2.0 * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(scaled_diff) - 1.0);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv * inv_sigma;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= rep_deriv * inv_sigma;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv * scaled_diff</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;              * inv_sigma;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        }</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      }</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    }</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;}</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
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+</div><!-- fragment --></div><!-- contents -->
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+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sign_8hpp_source.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="double__exponential__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a465bb5ed0b5bb209aa43f2ac71fc3597"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a465bb5ed0b5bb209aa43f2ac71fc3597"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a465bb5ed0b5bb209aa43f2ac71fc3597">stan::math::double_exponential_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a465bb5ed0b5bb209aa43f2ac71fc3597"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac96b2758687c3d1eab564e67d18f8922"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:ac96b2758687c3d1eab564e67d18f8922"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac96b2758687c3d1eab564e67d18f8922">stan::math::double_exponential_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:ac96b2758687c3d1eab564e67d18f8922"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="double__exponential__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_DOUBLE_EXPONENTIAL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_DOUBLE_EXPONENTIAL_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="sign_8hpp.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="comment">// DoubleExponential(y|mu, sigma)  [sigma &gt; 0]</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="comment">// FIXME: add documentation</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a465bb5ed0b5bb209aa43f2ac71fc3597">   31</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a465bb5ed0b5bb209aa43f2ac71fc3597">double_exponential_log</a>(<span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                           <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::double_exponential_log&quot;</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">std::fabs</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ad825f81b97ddf0b2e1217f30913559a3">stan::math::sign</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                    T_partials_return, T_scale&gt; inv_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                    T_partials_return, T_scale&gt;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        inv_sigma_squared(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                    T_partials_return, T_scale&gt; log_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++) {</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          inv_sigma[i] = 1.0 / sigma_dbl;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          log_sigma[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]));</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          inv_sigma_squared[i] = inv_sigma[i] * inv_sigma[i];</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="comment">// reusable subexpressions values</span></div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keyword">const</span> T_partials_return y_m_mu = y_dbl - mu_dbl;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keyword">const</span> T_partials_return fabs_y_m_mu = <a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">fabs</a>(y_m_mu);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="comment">// log probability</span></div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#aa546788809cd7f0be4a9872bc8009325">NEG_LOG_TWO</a>;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          logp -= log_sigma[n];</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          logp -= fabs_y_m_mu * inv_sigma[n];</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        T_partials_return sign_y_m_mu_times_inv_sigma(0);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_y, T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          sign_y_m_mu_times_inv_sigma = <a class="code" href="namespacestan_1_1math.html#ad825f81b97ddf0b2e1217f30913559a3">sign</a>(y_m_mu) * inv_sigma[n];</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= sign_y_m_mu_times_inv_sigma;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        }</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>) {</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += sign_y_m_mu_times_inv_sigma;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        }</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += -inv_sigma[n] + fabs_y_m_mu</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;            * inv_sigma_squared[n];</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      }</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    }</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00130"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac96b2758687c3d1eab564e67d18f8922">  130</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a465bb5ed0b5bb209aa43f2ac71fc3597">double_exponential_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;                           <span class="keyword">const</span> T_scale&amp; sigma) {</div>
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+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    }</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;}</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6c79c9be5c64873b74f3c6924fef6911"><div class="ttname"><a href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">stan::math::fabs</a></div><div class="ttdeci">fvar&lt; T &gt; fabs(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fabs_8hpp_source.html#l00014">fabs.hpp:14</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad825f81b97ddf0b2e1217f30913559a3"><div class="ttname"><a href="namespacestan_1_1math.html#ad825f81b97ddf0b2e1217f30913559a3">stan::math::sign</a></div><div class="ttdeci">int sign(const T &amp;z)</div><div class="ttdef"><b>Definition:</b> <a href="sign_8hpp_source.html#l00009">sign.hpp:9</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<div class="title">double_exponential_rng.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sign_8hpp_source.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</code><br />
+</div>
+<p><a href="double__exponential__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa6ebff3092eb40851fa1f63b7b7196f8"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:aa6ebff3092eb40851fa1f63b7b7196f8"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa6ebff3092eb40851fa1f63b7b7196f8">stan::math::double_exponential_rng</a> (const double mu, const double sigma, RNG &amp;rng)</td></tr>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
+</div>
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+<div class="title">double_exponential_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="double__exponential__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_DOUBLE_EXPONENTIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_DOUBLE_EXPONENTIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="sign_8hpp.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa6ebff3092eb40851fa1f63b7b7196f8">   23</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa6ebff3092eb40851fa1f63b7b7196f8">double_exponential_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> mu,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                           <span class="keyword">const</span> <span class="keywordtype">double</span> sigma,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                           RNG&amp; rng) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::double_exponential_rng&quot;</span>);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> boost::random::uniform_01;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ae560b842e3ed6e5939dc2177bf158265">std::abs</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      variate_generator&lt;RNG&amp;, uniform_01&lt;&gt; &gt;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        rng_unit_01(rng, uniform_01&lt;&gt;());</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordtype">double</span> a = 0;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordtype">double</span> laplaceRN = rng_unit_01();</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> (0.5 - laplaceRN &gt; 0)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        a = 1.0;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordflow">else</span> <span class="keywordflow">if</span> (0.5 - laplaceRN &lt; 0)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        a = -1.0;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">return</span> mu - sigma * a * <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(2 * <a class="code" href="namespacestan_1_1math.html#ae560b842e3ed6e5939dc2177bf158265">abs</a>(0.5 - laplaceRN));</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    }</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;}</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae560b842e3ed6e5939dc2177bf158265"><div class="ttname"><a href="namespacestan_1_1math.html#ae560b842e3ed6e5939dc2177bf158265">stan::math::abs</a></div><div class="ttdeci">fvar&lt; T &gt; abs(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2abs_8hpp_source.html#l00015">abs.hpp:15</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="sign_8hpp_html"><div class="ttname"><a href="sign_8hpp.html">sign.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa6ebff3092eb40851fa1f63b7b7196f8"><div class="ttname"><a href="namespacestan_1_1math.html#aa6ebff3092eb40851fa1f63b7b7196f8">stan::math::double_exponential_rng</a></div><div class="ttdeci">double double_exponential_rng(const double mu, const double sigma, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="double__exponential__rng_8hpp_source.html#l00023">double_exponential_rng.hpp:23</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+a.el {
+	font-weight: bold;
+}
+
+a.elRef {
+}
+
+a.code, a.code:visited, a.line, a.line:visited {
+	color: #4665A2; 
+}
+
+a.codeRef, a.codeRef:visited, a.lineRef, a.lineRef:visited {
+	color: #4665A2; 
+}
+
+/* @end */
+
+dl.el {
+	margin-left: -1cm;
+}
+
+pre.fragment {
+        border: 1px solid #C4CFE5;
+        background-color: #FBFCFD;
+        padding: 4px 6px;
+        margin: 4px 8px 4px 2px;
+        overflow: auto;
+        word-wrap: break-word;
+        font-size:  9pt;
+        line-height: 125%;
+        font-family: monospace, fixed;
+        font-size: 105%;
+}
+
+div.fragment {
+        padding: 4px 6px;
+        margin: 4px 8px 4px 2px;
+	background-color: #FBFCFD;
+	border: 1px solid #C4CFE5;
+}
+
+div.line {
+	font-family: monospace, fixed;
+        font-size: 13px;
+	min-height: 13px;
+	line-height: 1.0;
+	text-wrap: unrestricted;
+	white-space: -moz-pre-wrap; /* Moz */
+	white-space: -pre-wrap;     /* Opera 4-6 */
+	white-space: -o-pre-wrap;   /* Opera 7 */
+	white-space: pre-wrap;      /* CSS3  */
+	word-wrap: break-word;      /* IE 5.5+ */
+	text-indent: -53px;
+	padding-left: 53px;
+	padding-bottom: 0px;
+	margin: 0px;
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+div.line.glow {
+	background-color: cyan;
+	box-shadow: 0 0 10px cyan;
+}
+
+
+span.lineno {
+	padding-right: 4px;
+	text-align: right;
+	border-right: 2px solid #0F0;
+	background-color: #E8E8E8;
+        white-space: pre;
+}
+span.lineno a {
+	background-color: #D8D8D8;
+}
+
+span.lineno a:hover {
+	background-color: #C8C8C8;
+}
+
+div.ah, span.ah {
+	background-color: black;
+	font-weight: bold;
+	color: #ffffff;
+	margin-bottom: 3px;
+	margin-top: 3px;
+	padding: 0.2em;
+	border: solid thin #333;
+	border-radius: 0.5em;
+	-webkit-border-radius: .5em;
+	-moz-border-radius: .5em;
+	box-shadow: 2px 2px 3px #999;
+	-webkit-box-shadow: 2px 2px 3px #999;
+	-moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+	background-image: -webkit-gradient(linear, left top, left bottom, from(#eee), to(#000),color-stop(0.3, #444));
+	background-image: -moz-linear-gradient(center top, #eee 0%, #444 40%, #000);
+}
+
+div.classindex ul {
+        list-style: none;
+        padding-left: 0;
+}
+
+div.classindex span.ai {
+        display: inline-block;
+}
+
+div.groupHeader {
+	margin-left: 16px;
+	margin-top: 12px;
+	font-weight: bold;
+}
+
+div.groupText {
+	margin-left: 16px;
+	font-style: italic;
+}
+
+body {
+	background-color: white;
+	color: black;
+        margin: 0;
+}
+
+div.contents {
+	margin-top: 10px;
+	margin-left: 12px;
+	margin-right: 8px;
+}
+
+td.indexkey {
+	background-color: #EBEFF6;
+	font-weight: bold;
+	border: 1px solid #C4CFE5;
+	margin: 2px 0px 2px 0;
+	padding: 2px 10px;
+        white-space: nowrap;
+        vertical-align: top;
+}
+
+td.indexvalue {
+	background-color: #EBEFF6;
+	border: 1px solid #C4CFE5;
+	padding: 2px 10px;
+	margin: 2px 0px;
+}
+
+tr.memlist {
+	background-color: #EEF1F7;
+}
+
+p.formulaDsp {
+	text-align: center;
+}
+
+img.formulaDsp {
+	
+}
+
+img.formulaInl {
+	vertical-align: middle;
+}
+
+div.center {
+	text-align: center;
+        margin-top: 0px;
+        margin-bottom: 0px;
+        padding: 0px;
+}
+
+div.center img {
+	border: 0px;
+}
+
+address.footer {
+	text-align: right;
+	padding-right: 12px;
+}
+
+img.footer {
+	border: 0px;
+	vertical-align: middle;
+}
+
+/* @group Code Colorization */
+
+span.keyword {
+	color: #008000
+}
+
+span.keywordtype {
+	color: #604020
+}
+
+span.keywordflow {
+	color: #e08000
+}
+
+span.comment {
+	color: #800000
+}
+
+span.preprocessor {
+	color: #806020
+}
+
+span.stringliteral {
+	color: #002080
+}
+
+span.charliteral {
+	color: #008080
+}
+
+span.vhdldigit { 
+	color: #ff00ff 
+}
+
+span.vhdlchar { 
+	color: #000000 
+}
+
+span.vhdlkeyword { 
+	color: #700070 
+}
+
+span.vhdllogic { 
+	color: #ff0000 
+}
+
+blockquote {
+        background-color: #F7F8FB;
+        border-left: 2px solid #9CAFD4;
+        margin: 0 24px 0 4px;
+        padding: 0 12px 0 16px;
+}
+
+/* @end */
+
+/*
+.search {
+	color: #003399;
+	font-weight: bold;
+}
+
+form.search {
+	margin-bottom: 0px;
+	margin-top: 0px;
+}
+
+input.search {
+	font-size: 75%;
+	color: #000080;
+	font-weight: normal;
+	background-color: #e8eef2;
+}
+*/
+
+td.tiny {
+	font-size: 75%;
+}
+
+.dirtab {
+	padding: 4px;
+	border-collapse: collapse;
+	border: 1px solid #A3B4D7;
+}
+
+th.dirtab {
+	background: #EBEFF6;
+	font-weight: bold;
+}
+
+hr {
+	height: 0px;
+	border: none;
+	border-top: 1px solid #4A6AAA;
+}
+
+hr.footer {
+	height: 1px;
+}
+
+/* @group Member Descriptions */
+
+table.memberdecls {
+	border-spacing: 0px;
+	padding: 0px;
+}
+
+.memberdecls td, .fieldtable tr {
+	-webkit-transition-property: background-color, box-shadow;
+	-webkit-transition-duration: 0.5s;
+	-moz-transition-property: background-color, box-shadow;
+	-moz-transition-duration: 0.5s;
+	-ms-transition-property: background-color, box-shadow;
+	-ms-transition-duration: 0.5s;
+	-o-transition-property: background-color, box-shadow;
+	-o-transition-duration: 0.5s;
+	transition-property: background-color, box-shadow;
+	transition-duration: 0.5s;
+}
+
+.memberdecls td.glow, .fieldtable tr.glow {
+	background-color: cyan;
+	box-shadow: 0 0 15px cyan;
+}
+
+.mdescLeft, .mdescRight,
+.memItemLeft, .memItemRight,
+.memTemplItemLeft, .memTemplItemRight, .memTemplParams {
+	background-color: #F9FAFC;
+	border: none;
+	margin: 4px;
+	padding: 1px 0 0 8px;
+}
+
+.mdescLeft, .mdescRight {
+	padding: 0px 8px 4px 8px;
+	color: #555;
+}
+
+.memSeparator {
+        border-bottom: 1px solid #DEE4F0;
+        line-height: 1px;
+        margin: 0px;
+        padding: 0px;
+}
+
+.memItemLeft, .memTemplItemLeft {
+        white-space: nowrap;
+}
+
+.memItemRight {
+	width: 100%;
+}
+
+.memTemplParams {
+	color: #4665A2;
+        white-space: nowrap;
+	font-size: 80%;
+}
+
+/* @end */
+
+/* @group Member Details */
+
+/* Styles for detailed member documentation */
+
+.memtemplate {
+	font-size: 80%;
+	color: #4665A2;
+	font-weight: normal;
+	margin-left: 9px;
+}
+
+.memnav {
+	background-color: #EBEFF6;
+	border: 1px solid #A3B4D7;
+	text-align: center;
+	margin: 2px;
+	margin-right: 15px;
+	padding: 2px;
+}
+
+.mempage {
+	width: 100%;
+}
+
+.memitem {
+	padding: 0;
+	margin-bottom: 10px;
+	margin-right: 5px;
+        -webkit-transition: box-shadow 0.5s linear;
+        -moz-transition: box-shadow 0.5s linear;
+        -ms-transition: box-shadow 0.5s linear;
+        -o-transition: box-shadow 0.5s linear;
+        transition: box-shadow 0.5s linear;
+        display: table !important;
+        width: 100%;
+}
+
+.memitem.glow {
+         box-shadow: 0 0 15px cyan;
+}
+
+.memname {
+        font-weight: bold;
+        margin-left: 6px;
+}
+
+.memname td {
+	vertical-align: bottom;
+}
+
+.memproto, dl.reflist dt {
+        border-top: 1px solid #A8B8D9;
+        border-left: 1px solid #A8B8D9;
+        border-right: 1px solid #A8B8D9;
+        padding: 6px 0px 6px 0px;
+        color: #253555;
+        font-weight: bold;
+        text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E8F2;
+        /* opera specific markup */
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        /* firefox specific markup */
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        -moz-border-radius-topright: 4px;
+        -moz-border-radius-topleft: 4px;
+        /* webkit specific markup */
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        -webkit-border-top-right-radius: 4px;
+        -webkit-border-top-left-radius: 4px;
+
+}
+
+.memdoc, dl.reflist dd {
+        border-bottom: 1px solid #A8B8D9;      
+        border-left: 1px solid #A8B8D9;      
+        border-right: 1px solid #A8B8D9; 
+        padding: 6px 10px 2px 10px;
+        background-color: #FBFCFD;
+        border-top-width: 0;
+        background-image:url('nav_g.png');
+        background-repeat:repeat-x;
+        background-color: #FFFFFF;
+        /* opera specific markup */
+        border-bottom-left-radius: 4px;
+        border-bottom-right-radius: 4px;
+        box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+        /* firefox specific markup */
+        -moz-border-radius-bottomleft: 4px;
+        -moz-border-radius-bottomright: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px;
+        /* webkit specific markup */
+        -webkit-border-bottom-left-radius: 4px;
+        -webkit-border-bottom-right-radius: 4px;
+        -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+dl.reflist dt {
+        padding: 5px;
+}
+
+dl.reflist dd {
+        margin: 0px 0px 10px 0px;
+        padding: 5px;
+}
+
+.paramkey {
+	text-align: right;
+}
+
+.paramtype {
+	white-space: nowrap;
+}
+
+.paramname {
+	color: #602020;
+	white-space: nowrap;
+}
+.paramname em {
+	font-style: normal;
+}
+.paramname code {
+        line-height: 14px;
+}
+
+.params, .retval, .exception, .tparams {
+        margin-left: 0px;
+        padding-left: 0px;
+}       
+
+.params .paramname, .retval .paramname {
+        font-weight: bold;
+        vertical-align: top;
+}
+        
+.params .paramtype {
+        font-style: italic;
+        vertical-align: top;
+}       
+        
+.params .paramdir {
+        font-family: "courier new",courier,monospace;
+        vertical-align: top;
+}
+
+table.mlabels {
+	border-spacing: 0px;
+}
+
+td.mlabels-left {
+	width: 100%;
+	padding: 0px;
+}
+
+td.mlabels-right {
+	vertical-align: bottom;
+	padding: 0px;
+	white-space: nowrap;
+}
+
+span.mlabels {
+        margin-left: 8px;
+}
+
+span.mlabel {
+        background-color: #728DC1;
+        border-top:1px solid #5373B4;
+        border-left:1px solid #5373B4;
+        border-right:1px solid #C4CFE5;
+        border-bottom:1px solid #C4CFE5;
+	text-shadow: none;
+	color: white;
+	margin-right: 4px;
+	padding: 2px 3px;
+	border-radius: 3px;
+	font-size: 7pt;
+	white-space: nowrap;
+	vertical-align: middle;
+}
+
+
+
+/* @end */
+
+/* these are for tree view inside a (index) page */
+
+div.directory {
+        margin: 10px 0px;
+        border-top: 1px solid #9CAFD4;
+        border-bottom: 1px solid #9CAFD4;
+        width: 100%;
+}
+
+.directory table {
+        border-collapse:collapse;
+}
+
+.directory td {
+        margin: 0px;
+        padding: 0px;
+	vertical-align: top;
+}
+
+.directory td.entry {
+        white-space: nowrap;
+        padding-right: 6px;
+	padding-top: 3px;
+}
+
+.directory td.entry a {
+        outline:none;
+}
+
+.directory td.entry a img {
+        border: none;
+}
+
+.directory td.desc {
+        width: 100%;
+        padding-left: 6px;
+	padding-right: 6px;
+	padding-top: 3px;
+	border-left: 1px solid rgba(0,0,0,0.05);
+}
+
+.directory tr.even {
+	padding-left: 6px;
+	background-color: #F7F8FB;
+}
+
+.directory img {
+	vertical-align: -30%;
+}
+
+.directory .levels {
+        white-space: nowrap;
+        width: 100%;
+        text-align: right;
+        font-size: 9pt;
+}
+
+.directory .levels span {
+        cursor: pointer;
+        padding-left: 2px;
+        padding-right: 2px;
+	color: #3D578C;
+}
+
+.arrow {
+    color: #9CAFD4;
+    -webkit-user-select: none;
+    -khtml-user-select: none;
+    -moz-user-select: none;
+    -ms-user-select: none;
+    user-select: none;
+    cursor: pointer;
+    font-size: 80%;
+    display: inline-block;
+    width: 16px;
+    height: 22px;
+}
+
+.icon {
+    font-family: Arial, Helvetica;
+    font-weight: bold;
+    font-size: 12px;
+    height: 14px;
+    width: 16px;
+    display: inline-block;
+    background-color: #728DC1;
+    color: white;
+    text-align: center;
+    border-radius: 4px;
+    margin-left: 2px;
+    margin-right: 2px;
+}
+
+.icona {
+    width: 24px;
+    height: 22px;
+    display: inline-block;
+}
+
+.iconfopen {
+    width: 24px;
+    height: 18px;
+    margin-bottom: 4px;
+    background-image:url('folderopen.png');
+    background-position: 0px -4px;
+    background-repeat: repeat-y;
+    vertical-align:top;
+    display: inline-block;
+}
+
+.iconfclosed {
+    width: 24px;
+    height: 18px;
+    margin-bottom: 4px;
+    background-image:url('folderclosed.png');
+    background-position: 0px -4px;
+    background-repeat: repeat-y;
+    vertical-align:top;
+    display: inline-block;
+}
+
+.icondoc {
+    width: 24px;
+    height: 18px;
+    margin-bottom: 4px;
+    background-image:url('doc.png');
+    background-position: 0px -4px;
+    background-repeat: repeat-y;
+    vertical-align:top;
+    display: inline-block;
+}
+
+table.directory {
+    font: 400 14px Roboto,sans-serif;
+}
+
+/* @end */
+
+div.dynheader {
+        margin-top: 8px;
+	-webkit-touch-callout: none;
+	-webkit-user-select: none;
+	-khtml-user-select: none;
+	-moz-user-select: none;
+	-ms-user-select: none;
+	user-select: none;
+}
+
+address {
+	font-style: normal;
+	color: #2A3D61;
+}
+
+table.doxtable {
+	border-collapse:collapse;
+        margin-top: 4px;
+        margin-bottom: 4px;
+}
+
+table.doxtable td, table.doxtable th {
+	border: 1px solid #2D4068;
+	padding: 3px 7px 2px;
+}
+
+table.doxtable th {
+	background-color: #374F7F;
+	color: #FFFFFF;
+	font-size: 110%;
+	padding-bottom: 4px;
+	padding-top: 5px;
+}
+
+table.fieldtable {
+        /*width: 100%;*/
+        margin-bottom: 10px;
+        border: 1px solid #A8B8D9;
+        border-spacing: 0px;
+        -moz-border-radius: 4px;
+        -webkit-border-radius: 4px;
+        border-radius: 4px;
+        -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px;
+        -webkit-box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+        box-shadow: 2px 2px 2px rgba(0, 0, 0, 0.15);
+}
+
+.fieldtable td, .fieldtable th {
+        padding: 3px 7px 2px;
+}
+
+.fieldtable td.fieldtype, .fieldtable td.fieldname {
+        white-space: nowrap;
+        border-right: 1px solid #A8B8D9;
+        border-bottom: 1px solid #A8B8D9;
+        vertical-align: top;
+}
+
+.fieldtable td.fieldname {
+        padding-top: 3px;
+}
+
+.fieldtable td.fielddoc {
+        border-bottom: 1px solid #A8B8D9;
+        /*width: 100%;*/
+}
+
+.fieldtable td.fielddoc p:first-child {
+        margin-top: 0px;
+}       
+        
+.fieldtable td.fielddoc p:last-child {
+        margin-bottom: 2px;
+}
+
+.fieldtable tr:last-child td {
+        border-bottom: none;
+}
+
+.fieldtable th {
+        background-image:url('nav_f.png');
+        background-repeat:repeat-x;
+        background-color: #E2E8F2;
+        font-size: 90%;
+        color: #253555;
+        padding-bottom: 4px;
+        padding-top: 5px;
+        text-align:left;
+        -moz-border-radius-topleft: 4px;
+        -moz-border-radius-topright: 4px;
+        -webkit-border-top-left-radius: 4px;
+        -webkit-border-top-right-radius: 4px;
+        border-top-left-radius: 4px;
+        border-top-right-radius: 4px;
+        border-bottom: 1px solid #A8B8D9;
+}
+
+
+.tabsearch {
+	top: 0px;
+	left: 10px;
+	height: 36px;
+	background-image: url('tab_b.png');
+	z-index: 101;
+	overflow: hidden;
+	font-size: 13px;
+}
+
+.navpath ul
+{
+	font-size: 11px;
+	background-image:url('tab_b.png');
+	background-repeat:repeat-x;
+	background-position: 0 -5px;
+	height:30px;
+	line-height:30px;
+	color:#8AA0CC;
+	border:solid 1px #C2CDE4;
+	overflow:hidden;
+	margin:0px;
+	padding:0px;
+}
+
+.navpath li
+{
+	list-style-type:none;
+	float:left;
+	padding-left:10px;
+	padding-right:15px;
+	background-image:url('bc_s.png');
+	background-repeat:no-repeat;
+	background-position:right;
+	color:#364D7C;
+}
+
+.navpath li.navelem a
+{
+	height:32px;
+	display:block;
+	text-decoration: none;
+	outline: none;
+	color: #283A5D;
+	font-family: 'Lucida Grande',Geneva,Helvetica,Arial,sans-serif;
+	text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9);
+	text-decoration: none;        
+}
+
+.navpath li.navelem a:hover
+{
+	color:#6884BD;
+}
+
+.navpath li.footer
+{
+        list-style-type:none;
+        float:right;
+        padding-left:10px;
+        padding-right:15px;
+        background-image:none;
+        background-repeat:no-repeat;
+        background-position:right;
+        color:#364D7C;
+        font-size: 8pt;
+}
+
+
+div.summary
+{
+	float: right;
+	font-size: 8pt;
+	padding-right: 5px;
+	width: 50%;
+	text-align: right;
+}       
+
+div.summary a
+{
+	white-space: nowrap;
+}
+
+div.ingroups
+{
+	font-size: 8pt;
+	width: 50%;
+	text-align: left;
+}
+
+div.ingroups a
+{
+	white-space: nowrap;
+}
+
+div.header
+{
+        background-image:url('nav_h.png');
+        background-repeat:repeat-x;
+	background-color: #F9FAFC;
+	margin:  0px;
+	border-bottom: 1px solid #C4CFE5;
+}
+
+div.headertitle
+{
+	padding: 5px 5px 5px 10px;
+}
+
+dl
+{
+        padding: 0 0 0 10px;
+}
+
+/* dl.note, dl.warning, dl.attention, dl.pre, dl.post, dl.invariant, dl.deprecated, dl.todo, dl.test, dl.bug */
+dl.section
+{
+	margin-left: 0px;
+	padding-left: 0px;
+}
+
+dl.note
+{
+        margin-left:-7px;
+        padding-left: 3px;
+        border-left:4px solid;
+        border-color: #D0C000;
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+<a href="dv__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_DV_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_DV_VARI_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__dv__vari.html">    9</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1op__dv__vari.html">op_dv_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__dv__vari.html#a30f5589cb9d3e0ee8a0219316531daee">   11</a></span>&#160;      <span class="keywordtype">double</span> <a class="code" href="classstan_1_1math_1_1op__dv__vari.html#a30f5589cb9d3e0ee8a0219316531daee">ad_</a>;</div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">public</span>:</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        bvi_(bvi) {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    };</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  }</div>
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+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__dv__vari_html_a30f5589cb9d3e0ee8a0219316531daee"><div class="ttname"><a href="classstan_1_1math_1_1op__dv__vari.html#a30f5589cb9d3e0ee8a0219316531daee">stan::math::op_dv_vari::ad_</a></div><div class="ttdeci">double ad_</div><div class="ttdef"><b>Definition:</b> <a href="dv__vari_8hpp_source.html#l00011">dv_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__dv__vari_html_a323e4ee6a54cf1beeb8427c1e1b2e844"><div class="ttname"><a href="classstan_1_1math_1_1op__dv__vari.html#a323e4ee6a54cf1beeb8427c1e1b2e844">stan::math::op_dv_vari::op_dv_vari</a></div><div class="ttdeci">op_dv_vari(double f, double a, vari *bvi)</div><div class="ttdef"><b>Definition:</b> <a href="dv__vari_8hpp_source.html#l00014">dv_vari.hpp:14</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__dv__vari_html_a2442bb729d0afe617b6c24accae7d10b"><div class="ttname"><a href="classstan_1_1math_1_1op__dv__vari.html#a2442bb729d0afe617b6c24accae7d10b">stan::math::op_dv_vari::bvi_</a></div><div class="ttdeci">vari * bvi_</div><div class="ttdef"><b>Definition:</b> <a href="dv__vari_8hpp_source.html#l00012">dv_vari.hpp:12</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1op__dvd__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1op__dvd__vari.html">stan::math::op_dvd_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="dvd__vari_8hpp_source.html#l00009">dvd_vari.hpp:9</a></div></div>
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+<div class="title">dvv_vari.hpp</div>  </div>
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+<a href="dvv__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_DVV_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_DVV_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__dvv__vari.html">    9</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1op__dvv__vari.html">op_dvv_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__dvv__vari.html#acb47ad05b53b828ecc2dc5d23b2e0d75">   11</a></span>&#160;      <span class="keywordtype">double</span> <a class="code" href="classstan_1_1math_1_1op__dvv__vari.html#acb47ad05b53b828ecc2dc5d23b2e0d75">ad_</a>;</div>
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+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__dvv__vari.html#aaddf51db2da17712cf73941d9a65c072">   13</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* <a class="code" href="classstan_1_1math_1_1op__dvv__vari.html#aaddf51db2da17712cf73941d9a65c072">cvi_</a>;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">public</span>:</div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>(f),</div>
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+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        bvi_(bvi),</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        cvi_(cvi) {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      }</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    };</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  }</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;}</div>
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+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__dvv__vari_html_a16a4bbb74c4dfc664ab8b208352f6a91"><div class="ttname"><a href="classstan_1_1math_1_1op__dvv__vari.html#a16a4bbb74c4dfc664ab8b208352f6a91">stan::math::op_dvv_vari::bvi_</a></div><div class="ttdeci">vari * bvi_</div><div class="ttdef"><b>Definition:</b> <a href="dvv__vari_8hpp_source.html#l00012">dvv_vari.hpp:12</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__dvv__vari_html_acb47ad05b53b828ecc2dc5d23b2e0d75"><div class="ttname"><a href="classstan_1_1math_1_1op__dvv__vari.html#acb47ad05b53b828ecc2dc5d23b2e0d75">stan::math::op_dvv_vari::ad_</a></div><div class="ttdeci">double ad_</div><div class="ttdef"><b>Definition:</b> <a href="dvv__vari_8hpp_source.html#l00011">dvv_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__dvv__vari_html_a311ec040af4430d5d2ca608ab21c4bd3"><div class="ttname"><a href="classstan_1_1math_1_1op__dvv__vari.html#a311ec040af4430d5d2ca608ab21c4bd3">stan::math::op_dvv_vari::op_dvv_vari</a></div><div class="ttdeci">op_dvv_vari(double f, double a, vari *bvi, vari *cvi)</div><div class="ttdef"><b>Definition:</b> <a href="dvv__vari_8hpp_source.html#l00015">dvv_vari.hpp:15</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__dvv__vari_html_aaddf51db2da17712cf73941d9a65c072"><div class="ttname"><a href="classstan_1_1math_1_1op__dvv__vari.html#aaddf51db2da17712cf73941d9a65c072">stan::math::op_dvv_vari::cvi_</a></div><div class="ttdeci">vari * cvi_</div><div class="ttdef"><b>Definition:</b> <a href="dvv__vari_8hpp_source.html#l00013">dvv_vari.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="eigenvalues__sym_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a2e454ec91241f2f6e70aa05e7b7698ff"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a2e454ec91241f2f6e70aa05e7b7698ff"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2e454ec91241f2f6e70aa05e7b7698ff">stan::math::eigenvalues_sym</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</td></tr>
+<tr class="memdesc:a2e454ec91241f2f6e70aa05e7b7698ff"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the eigenvalues of the specified symmetric matrix in descending order of magnitude.  <a href="namespacestan_1_1math.html#a2e454ec91241f2f6e70aa05e7b7698ff">More...</a><br /></td></tr>
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+<a href="eigenvalues__sym_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_EIGENVALUES_SYM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_EIGENVALUES_SYM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="check__symmetric_8hpp_html"><div class="ttname"><a href="check__symmetric_8hpp.html">check_symmetric.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a97c3c23033e47a923ed5ce26a4deeba5"><div class="ttname"><a href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a></div><div class="ttdeci">bool check_nonzero_size(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if the specified matrix/vector is of non-zero size. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonzero__size_8hpp_source.html#l00030">check_nonzero_size.hpp:30</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2e454ec91241f2f6e70aa05e7b7698ff"><div class="ttname"><a href="namespacestan_1_1math.html#a2e454ec91241f2f6e70aa05e7b7698ff">stan::math::eigenvalues_sym</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; eigenvalues_sym(const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</div><div class="ttdoc">Return the eigenvalues of the specified symmetric matrix in descending order of magnitude. </div><div class="ttdef"><b>Definition:</b> <a href="eigenvalues__sym_8hpp_source.html#l00022">eigenvalues_sym.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab874d14a9441896a9d9e0172ba555357"><div class="ttname"><a href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a></div><div class="ttdeci">bool check_symmetric(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is symmetric. </div><div class="ttdef"><b>Definition:</b> <a href="check__symmetric_8hpp_source.html#l00037">check_symmetric.hpp:37</a></div></div>
+<div class="ttc" id="check__nonzero__size_8hpp_html"><div class="ttname"><a href="check__nonzero__size_8hpp.html">check_nonzero_size.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
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+<tr class="memitem:a9fd77067fef0a78dd5d8f9527969631e"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9fd77067fef0a78dd5d8f9527969631e">stan::math::eigenvectors_sym</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</td></tr>
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+<a href="eigenvectors__sym_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_EIGENVECTORS_SYM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_EIGENVECTORS_SYM_HPP</span></div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      Eigen::SelfAdjointEigenSolver</div>
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+<div class="ttc" id="check__symmetric_8hpp_html"><div class="ttname"><a href="check__symmetric_8hpp.html">check_symmetric.hpp</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab874d14a9441896a9d9e0172ba555357"><div class="ttname"><a href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a></div><div class="ttdeci">bool check_symmetric(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is symmetric. </div><div class="ttdef"><b>Definition:</b> <a href="check__symmetric_8hpp_source.html#l00037">check_symmetric.hpp:37</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9fd77067fef0a78dd5d8f9527969631e"><div class="ttname"><a href="namespacestan_1_1math.html#a9fd77067fef0a78dd5d8f9527969631e">stan::math::eigenvectors_sym</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; eigenvectors_sym(const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="eigenvectors__sym_8hpp_source.html#l00013">eigenvectors_sym.hpp:13</a></div></div>
+<div class="ttc" id="check__nonzero__size_8hpp_html"><div class="ttname"><a href="check__nonzero__size_8hpp.html">check_nonzero_size.hpp</a></div></div>
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+<div class="title">elt_divide.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2divide_8hpp_source.html">stan/math/prim/mat/fun/divide.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__dims_8hpp_source.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</code><br />
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+<p><a href="elt__divide_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a75c3cc187f569c795118c72bcc1e5c58"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
+<tr class="memitem:a75c3cc187f569c795118c72bcc1e5c58"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a75c3cc187f569c795118c72bcc1e5c58">stan::math::elt_divide</a> (const Eigen::Matrix&lt; T1, R, C &gt; &amp;m1, const Eigen::Matrix&lt; T2, R, C &gt; &amp;m2)</td></tr>
+<tr class="memdesc:a75c3cc187f569c795118c72bcc1e5c58"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the elementwise division of the specified matrices.  <a href="namespacestan_1_1math.html#a75c3cc187f569c795118c72bcc1e5c58">More...</a><br /></td></tr>
+<tr class="separator:a75c3cc187f569c795118c72bcc1e5c58"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adc5d04e1b1dde0ea7455380ec27d4528"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
+<tr class="memitem:adc5d04e1b1dde0ea7455380ec27d4528"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adc5d04e1b1dde0ea7455380ec27d4528">stan::math::elt_divide</a> (const Eigen::Matrix&lt; T1, R, C &gt; &amp;m, T2 s)</td></tr>
+<tr class="memdesc:adc5d04e1b1dde0ea7455380ec27d4528"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the elementwise division of the specified matrix by the specified scalar.  <a href="namespacestan_1_1math.html#adc5d04e1b1dde0ea7455380ec27d4528">More...</a><br /></td></tr>
+<tr class="separator:adc5d04e1b1dde0ea7455380ec27d4528"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad4d728ca306346624b833cee2777c23d"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
+<tr class="memitem:ad4d728ca306346624b833cee2777c23d"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad4d728ca306346624b833cee2777c23d">stan::math::elt_divide</a> (T1 s, const Eigen::Matrix&lt; T2, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:ad4d728ca306346624b833cee2777c23d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the elementwise division of the specified scalar by the specified matrix.  <a href="namespacestan_1_1math.html#ad4d728ca306346624b833cee2777c23d">More...</a><br /></td></tr>
+<tr class="separator:ad4d728ca306346624b833cee2777c23d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">elt_divide.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="elt__divide_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_ELT_DIVIDE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_ELT_DIVIDE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2divide_8hpp.html">stan/math/prim/mat/fun/divide.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__dims_8hpp.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a75c3cc187f569c795118c72bcc1e5c58">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a75c3cc187f569c795118c72bcc1e5c58">elt_divide</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R, C&gt;&amp; m1,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;               <span class="keyword">const</span> Eigen::Matrix&lt;T2, R, C&gt;&amp; m2) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa1149504bbf29d464f23508ca5eccc0a">stan::math::check_matching_dims</a>(<span class="stringliteral">&quot;elt_divide&quot;</span>,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                                                <span class="stringliteral">&quot;m1&quot;</span>, m1,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                                                <span class="stringliteral">&quot;m2&quot;</span>, m2);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                    R, C&gt; result(m1.rows(), m2.cols());</div>
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+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    }</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt;</div>
+<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#adc5d04e1b1dde0ea7455380ec27d4528">   51</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a75c3cc187f569c795118c72bcc1e5c58">elt_divide</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R, C&gt;&amp; m, T2 s) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#ab1f35909d12ac43b74d180a49d68b674">divide</a>(m, s);  <span class="comment">// TODO(carp): stan::math::divide(m, s);</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    }</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
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+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;               <span class="keyword">const</span> Eigen::Matrix&lt;T2, R, C&gt;&amp; m) {</div>
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+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;  }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;}</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__matching__dims_8hpp_html"><div class="ttname"><a href="check__matching__dims_8hpp.html">check_matching_dims.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2divide_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2divide_8hpp.html">divide.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1149504bbf29d464f23508ca5eccc0a"><div class="ttname"><a href="namespacestan_1_1math.html#aa1149504bbf29d464f23508ca5eccc0a">stan::math::check_matching_dims</a></div><div class="ttdeci">bool check_matching_dims(const char *function, const char *name1, const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;y1, const char *name2, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;y2)</div><div class="ttdoc">Return true if the two matrices are of the same size. </div><div class="ttdef"><b>Definition:</b> <a href="check__matching__dims_8hpp_source.html#l00037">check_matching_dims.hpp:37</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1f35909d12ac43b74d180a49d68b674"><div class="ttname"><a href="namespacestan_1_1math.html#ab1f35909d12ac43b74d180a49d68b674">stan::math::divide</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; divide(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;v, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2divide_8hpp_source.html#l00016">divide.hpp:16</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a75c3cc187f569c795118c72bcc1e5c58"><div class="ttname"><a href="namespacestan_1_1math.html#a75c3cc187f569c795118c72bcc1e5c58">stan::math::elt_divide</a></div><div class="ttdeci">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R, C &gt; elt_divide(const Eigen::Matrix&lt; T1, R, C &gt; &amp;m1, const Eigen::Matrix&lt; T2, R, C &gt; &amp;m2)</div><div class="ttdoc">Return the elementwise division of the specified matrices. </div><div class="ttdef"><b>Definition:</b> <a href="elt__divide_8hpp_source.html#l00025">elt_divide.hpp:25</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__dims_8hpp_source.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</code><br />
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+<p><a href="elt__multiply_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a2edc3d65b32928692984bd66a1b3bb56"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
+<tr class="memitem:a2edc3d65b32928692984bd66a1b3bb56"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2edc3d65b32928692984bd66a1b3bb56">stan::math::elt_multiply</a> (const Eigen::Matrix&lt; T1, R, C &gt; &amp;m1, const Eigen::Matrix&lt; T2, R, C &gt; &amp;m2)</td></tr>
+<tr class="memdesc:a2edc3d65b32928692984bd66a1b3bb56"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the elementwise multiplication of the specified matrices.  <a href="namespacestan_1_1math.html#a2edc3d65b32928692984bd66a1b3bb56">More...</a><br /></td></tr>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
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+Functions</h2></td></tr>
+<tr class="memitem:a430f171295b91277dc60dfa2177c7c0b"><td class="memItemLeft" align="right" valign="top">static bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a430f171295b91277dc60dfa2177c7c0b">stan::math::empty_nested</a> ()</td></tr>
+<tr class="memdesc:a430f171295b91277dc60dfa2177c7c0b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return true if there is no nested autodiff being executed.  <a href="namespacestan_1_1math.html#a430f171295b91277dc60dfa2177c7c0b">More...</a><br /></td></tr>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  }</div>
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+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_aaa52587fef6c965ff959745bedaab58b"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#aaa52587fef6c965ff959745bedaab58b">stan::math::AutodiffStackStorage::nested_var_stack_sizes_</a></div><div class="ttdeci">static std::vector&lt; size_t &gt; nested_var_stack_sizes_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00019">autodiffstackstorage.hpp:19</a></div></div>
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+<div class="ttc" id="structstan_1_1error__index_html"><div class="ttname"><a href="structstan_1_1error__index.html">stan::error_index</a></div><div class="ttdef"><b>Definition:</b> <a href="error__index_8hpp_source.html#l00006">error_index.hpp:6</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="exp__mod__normal__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a497ff815eeadaffe3204d33359c4be82"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:a497ff815eeadaffe3204d33359c4be82"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a497ff815eeadaffe3204d33359c4be82">stan::math::exp_mod_normal_ccdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_inv_scale &amp;lambda)</td></tr>
+<tr class="separator:a497ff815eeadaffe3204d33359c4be82"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</div><!--header-->
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+<a href="exp__mod__normal__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_EXP_MOD_NORMAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_EXP_MOD_NORMAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;              <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a497ff815eeadaffe3204d33359c4be82">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a497ff815eeadaffe3204d33359c4be82">exp_mod_normal_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                            <span class="keyword">const</span> T_inv_scale&amp; lambda) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::exp_mod_normal_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_loc, T_scale,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> ccdf_log;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inv_scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inv_scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Inv_scale paramter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        operands_and_partials(y, mu, sigma, lambda);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma, lambda);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> sqrt_pi = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a>(y_vec[n])) {</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          <span class="keywordflow">if</span> (y_vec[n] &gt; 0.0)</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;            <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;            <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        }</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[n]);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keyword">const</span> T_partials_return u = lambda_dbl * (y_dbl - mu_dbl);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return v = lambda_dbl * sigma_dbl;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> T_partials_return v_sq = v * v;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl)</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          / (<a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a> * sigma_dbl);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff_sq = scaled_diff * scaled_diff;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keyword">const</span> T_partials_return erf_calc1 = 0.5 * (1 + <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(u / (v * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>)));</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return erf_calc2 = 0.5 * (1 + <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(u / (v * SQRT_2)</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                                                           - v / SQRT_2));</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_1 = lambda_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(0.5 * v_sq - u)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          * erf_calc2;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_2 = SQRT_2 / sqrt_pi * 0.5</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(0.5 * v_sq</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                - (-scaled_diff + (v / SQRT_2)) * (-scaled_diff</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                                                   + (v / SQRT_2)) - u)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          / sigma_dbl;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_3 = SQRT_2 / sqrt_pi * 0.5</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff_sq) / sigma_dbl;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keyword">const</span> T_partials_return ccdf_ = 1.0 - erf_calc1 + <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-u + v_sq * 0.5)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          * (erf_calc2);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        ccdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(ccdf_);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;            -= (deriv_1 - deriv_2 + deriv_3) / ccdf_;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            -= (-deriv_1 + deriv_2 - deriv_3) / ccdf_;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;            -= (-deriv_1 * v - deriv_3 * scaled_diff * SQRT_2 - deriv_2</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                * sigma_dbl * SQRT_2</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;                * (-SQRT_2 * 0.5 * (-lambda_dbl + scaled_diff * SQRT_2</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                                    / sigma_dbl)</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                   - SQRT_2 * lambda_dbl))</div>
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+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="title">exp_mod_normal_cdf.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="exp__mod__normal__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a2b29301645f48dedc57b97409062250c"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:a2b29301645f48dedc57b97409062250c"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2b29301645f48dedc57b97409062250c">stan::math::exp_mod_normal_cdf</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_inv_scale &amp;lambda)</td></tr>
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+<div class="title">exp_mod_normal_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="exp__mod__normal__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_EXP_MOD_NORMAL_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_EXP_MOD_NORMAL_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;              <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a2b29301645f48dedc57b97409062250c">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a2b29301645f48dedc57b97409062250c">exp_mod_normal_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                       <span class="keyword">const</span> T_inv_scale&amp; lambda) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::exp_mod_normal_cdf&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_loc, T_scale,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      T_partials_return cdf(1.0);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> cdf;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inv_scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inv_scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Inv_scale paramter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        operands_and_partials(y, mu, sigma, lambda);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma, lambda);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> sqrt_pi = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a>(y_vec[n])) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          <span class="keywordflow">if</span> (y_vec[n] &lt; 0.0)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[n]);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> T_partials_return u = lambda_dbl * (y_dbl - mu_dbl);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keyword">const</span> T_partials_return v = lambda_dbl * sigma_dbl;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">const</span> T_partials_return v_sq = v * v;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl) / (<a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                                                                  * sigma_dbl);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff_sq = scaled_diff * scaled_diff;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return erf_calc = 0.5 * (1 + <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(-v / <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                                                          + scaled_diff));</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_1 = lambda_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(0.5 * v_sq - u)</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          * erf_calc;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_2 = <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a> / sqrt_pi * 0.5</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(0.5 * v_sq - (scaled_diff - (v / <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>))</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                * (scaled_diff - (v / <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>)) - u) / sigma_dbl;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_3 = <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a> / sqrt_pi * 0.5</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff_sq) / sigma_dbl;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">const</span> T_partials_return cdf_ = 0.5 * (1 + <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(u / (v * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>)))</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-u + v_sq * 0.5) * (erf_calc);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        cdf *= cdf_;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += (deriv_1 - deriv_2 + deriv_3)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            / cdf_;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += (-deriv_1 + deriv_2 - deriv_3)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;            / cdf_;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += (-deriv_1 * v - deriv_3</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                                            * scaled_diff * SQRT_2 - deriv_2</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                                            * sigma_dbl * SQRT_2</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;                                            * (-SQRT_2 * 0.5</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                                               * (-lambda_dbl + scaled_diff</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                                                  * SQRT_2 / sigma_dbl) - SQRT_2</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                                               * lambda_dbl)) / cdf_;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n] += <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(0.5 * v_sq - u)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;            * (SQRT_2 / sqrt_pi * 0.5 * sigma_dbl</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;               * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-(v / SQRT_2 - scaled_diff) * (v / SQRT_2 - scaled_diff))</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;               - (v * sigma_dbl + mu_dbl - y_dbl) * erf_calc) / cdf_;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      }</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] *= cdf;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      }</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>) {</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu); ++n)</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] *= cdf;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      }</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma); ++n)</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] *= cdf;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;      }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda); ++n)</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n] *= cdf;</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;      }</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf);</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    }</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;  }</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;}</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;</div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2b29301645f48dedc57b97409062250c"><div class="ttname"><a href="namespacestan_1_1math.html#a2b29301645f48dedc57b97409062250c">stan::math::exp_mod_normal_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale, T_inv_scale &gt;::type exp_mod_normal_cdf(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_inv_scale &amp;lambda)</div><div class="ttdef"><b>Definition:</b> <a href="exp__mod__normal__cdf_8hpp_source.html#l00026">exp_mod_normal_cdf.hpp:26</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a173c58a8fd989264209ca8b451effc2e"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials::d_x4</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00042">OperandsAndPartials.hpp:42</a></div></div>
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+<div class="title">exp_mod_normal_cdf_log.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="exp__mod__normal__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:ad0e32ac964461952d77df48cd30c6f1d"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:ad0e32ac964461952d77df48cd30c6f1d"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad0e32ac964461952d77df48cd30c6f1d">stan::math::exp_mod_normal_cdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_inv_scale &amp;lambda)</td></tr>
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+<div class="title">exp_mod_normal_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="exp__mod__normal__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_EXP_MOD_NORMAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_EXP_MOD_NORMAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;              <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad0e32ac964461952d77df48cd30c6f1d">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad0e32ac964461952d77df48cd30c6f1d">exp_mod_normal_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                           <span class="keyword">const</span> T_inv_scale&amp; lambda) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::exp_mod_normal_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_loc, T_scale,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> cdf_log;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inv_scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inv_scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Inv_scale paramter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        operands_and_partials(y, mu, sigma, lambda);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma, lambda);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> sqrt_pi = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a>(y_vec[n])) {</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          <span class="keywordflow">if</span> (y_vec[n] &lt; 0.0)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;            <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;            <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        }</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[n]);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> T_partials_return u = lambda_dbl * (y_dbl - mu_dbl);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keyword">const</span> T_partials_return v = lambda_dbl * sigma_dbl;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return v_sq = v * v;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl)</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          / (<a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a> * sigma_dbl);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff_sq = scaled_diff * scaled_diff;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">const</span> T_partials_return erf_calc1 = 0.5 * (1 + <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(u / (v * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>)));</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keyword">const</span> T_partials_return erf_calc2 = 0.5 * (1 + <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(u / (v * SQRT_2) - v</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                                                           / SQRT_2));</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_1 = lambda_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(0.5 * v_sq - u)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          * erf_calc2;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_2 = SQRT_2 / sqrt_pi * 0.5</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(0.5 * v_sq - (-scaled_diff + (v / SQRT_2))</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                * (-scaled_diff + (v / SQRT_2)) - u) / sigma_dbl;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_3 = SQRT_2 / sqrt_pi * 0.5</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff_sq) / sigma_dbl;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">const</span> T_partials_return denom = erf_calc1 - erf_calc2</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(0.5 * v_sq - u);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keyword">const</span> T_partials_return cdf_ = erf_calc1 - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-u + v_sq * 0.5)</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          * (erf_calc2);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        cdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(cdf_);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += (deriv_1 - deriv_2 + deriv_3)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            / denom;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += (-deriv_1 + deriv_2 - deriv_3)</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            / denom;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;            += (-deriv_1 * v - deriv_3 * scaled_diff</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;                * SQRT_2 - deriv_2 * sigma_dbl * SQRT_2</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;                * (-SQRT_2 * 0.5 * (-lambda_dbl + scaled_diff * SQRT_2</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                                    / sigma_dbl)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;                   - SQRT_2 * lambda_dbl))</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;            / denom;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n]</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;            += <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(0.5 * v_sq - u)</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            * (SQRT_2 / sqrt_pi * 0.5 * sigma_dbl</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;               * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-(v / SQRT_2 - scaled_diff)</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                     * (v / SQRT_2 - scaled_diff))</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;               - (v * sigma_dbl + mu_dbl - y_dbl) * erf_calc2)</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            / denom;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      }</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;    }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;  }</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;}</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa283efca22c0544054a6534443e6e762"><div class="ttname"><a href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math::erf</a></div><div class="ttdeci">fvar&lt; T &gt; erf(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erf_8hpp_source.html#l00014">erf.hpp:14</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad0e32ac964461952d77df48cd30c6f1d"><div class="ttname"><a href="namespacestan_1_1math.html#ad0e32ac964461952d77df48cd30c6f1d">stan::math::exp_mod_normal_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale, T_inv_scale &gt;::type exp_mod_normal_cdf_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_inv_scale &amp;lambda)</div><div class="ttdef"><b>Definition:</b> <a href="exp__mod__normal__cdf__log_8hpp_source.html#l00026">exp_mod_normal_cdf_log.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a491d6e40aaa2a3e205ea6708dc3c75dd"><div class="ttname"><a href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a></div><div class="ttdeci">const double SQRT_2</div><div class="ttdoc">The value of the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00021">constants.hpp:21</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a3d7d6e376e25db9cff72f82ca4c3e684"><div class="ttname"><a href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a></div><div class="ttdeci">bool isinf(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is infinite. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isinf_8hpp_source.html#l00022">boost_isinf.hpp:22</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
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+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a173c58a8fd989264209ca8b451effc2e"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials::d_x4</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00042">OperandsAndPartials.hpp:42</a></div></div>
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+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="exp__mod__normal__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:af27bb81f9220a9ba9082903fd55dff66"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_scale , typename T_inv_scale &gt; </td></tr>
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+<a href="exp__mod__normal__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_EXP_MOD_NORMAL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_EXP_MOD_NORMAL_LOG_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;              <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af27bb81f9220a9ba9082903fd55dff66">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#af27bb81f9220a9ba9082903fd55dff66">exp_mod_normal_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                       <span class="keyword">const</span> T_inv_scale&amp; lambda) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::exp_mod_normal_log&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_loc, T_scale,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)))</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inv_scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma,</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                             <span class="stringliteral">&quot;Inv_scale paramter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale, T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">boost::math::erfc</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        operands_and_partials(y, mu, sigma, lambda);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma, lambda);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="comment">// pull out values of arguments</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[n]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keyword">const</span> T_partials_return pi_dbl = boost::math::constants::pi&lt;double&gt;();</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="comment">// log probability</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          logp -= <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(2.0);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(lambda_dbl);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale, T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          logp += lambda_dbl</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            * (mu_dbl + 0.5 * lambda_dbl * sigma_dbl * sigma_dbl - y_dbl)</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;            + <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>((mu_dbl + lambda_dbl * sigma_dbl</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                        * sigma_dbl - y_dbl)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                       / (<a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(2.0) * sigma_dbl)));</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_logerfc</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          = -2.0 / <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(pi_dbl)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-(mu_dbl + lambda_dbl * sigma_dbl * sigma_dbl - y_dbl)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                / (<a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0) * sigma_dbl)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                * (mu_dbl + lambda_dbl * sigma_dbl * sigma_dbl - y_dbl)</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0)))</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          / <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>((mu_dbl + lambda_dbl * sigma_dbl * sigma_dbl</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;                  - y_dbl) / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0)));</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            += -lambda_dbl</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;            + deriv_logerfc * -1.0 / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0));</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
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+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
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+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af27bb81f9220a9ba9082903fd55dff66"><div class="ttname"><a href="namespacestan_1_1math.html#af27bb81f9220a9ba9082903fd55dff66">stan::math::exp_mod_normal_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale, T_inv_scale &gt;::type exp_mod_normal_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_inv_scale &amp;lambda)</div><div class="ttdef"><b>Definition:</b> <a href="exp__mod__normal__log_8hpp_source.html#l00027">exp_mod_normal_log.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a173c58a8fd989264209ca8b451effc2e"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials::d_x4</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00042">OperandsAndPartials.hpp:42</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="normal__rng_8hpp_source.html">stan/math/prim/scal/prob/normal_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="exponential__rng_8hpp_source.html">stan/math/prim/scal/prob/exponential_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="exp__mod__normal__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a40d3c6fbf610e2c0e997a039f2ed98e8"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a40d3c6fbf610e2c0e997a039f2ed98e8"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a40d3c6fbf610e2c0e997a039f2ed98e8">stan::math::exp_mod_normal_rng</a> (const double mu, const double sigma, const double lambda, RNG &amp;rng)</td></tr>
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+<div class="title">exp_mod_normal_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="exp__mod__normal__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_EXP_MOD_NORMAL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_EXP_MOD_NORMAL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="normal__rng_8hpp.html">stan/math/prim/scal/prob/normal_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="exponential__rng_8hpp.html">stan/math/prim/scal/prob/exponential_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a40d3c6fbf610e2c0e997a039f2ed98e8">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a40d3c6fbf610e2c0e997a039f2ed98e8">exp_mod_normal_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> mu,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                       <span class="keyword">const</span> <span class="keywordtype">double</span> sigma,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                       <span class="keyword">const</span> <span class="keywordtype">double</span> lambda,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                       RNG&amp; rng) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::exp_mod_normal_rng&quot;</span>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inv_scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#ac70652885c9903a1122575590075bc78">stan::math::normal_rng</a>(mu, sigma, rng)</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        + <a class="code" href="namespacestan_1_1math.html#a6cfcce609912c9a6e1b2fad1e5055a1d">stan::math::exponential_rng</a>(lambda, rng);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;}</div>
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+<div class="textblock"><code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+</div>
+<p><a href="exponential__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a42c92f31b24600c6ce05b4f21f54fb00"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:a42c92f31b24600c6ce05b4f21f54fb00"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a42c92f31b24600c6ce05b4f21f54fb00">stan::math::exponential_ccdf_log</a> (const T_y &amp;y, const T_inv_scale &amp;beta)</td></tr>
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+<a href="exponential__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a42c92f31b24600c6ce05b4f21f54fb00">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a42c92f31b24600c6ce05b4f21f54fb00">exponential_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_inv_scale&gt;::type</a></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::exponential_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keywordflow">return</span> ccdf_log;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        operands_and_partials(y, beta);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, beta);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="comment">// log ccdf</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        ccdf_log += -beta_dbl * y_dbl;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= beta_dbl;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= y_dbl;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(ccdf_log);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  }</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;}</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a42c92f31b24600c6ce05b4f21f54fb00"><div class="ttname"><a href="namespacestan_1_1math.html#a42c92f31b24600c6ce05b4f21f54fb00">stan::math::exponential_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_inv_scale &gt;::type exponential_ccdf_log(const T_y &amp;y, const T_inv_scale &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="exponential__ccdf__log_8hpp_source.html#l00027">exponential_ccdf_log.hpp:27</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="exponential__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac753dcf58b69f0bbf7b001bfe19a3e44"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:ac753dcf58b69f0bbf7b001bfe19a3e44"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac753dcf58b69f0bbf7b001bfe19a3e44">stan::math::exponential_cdf</a> (const T_y &amp;y, const T_inv_scale &amp;beta)</td></tr>
+<tr class="memdesc:ac753dcf58b69f0bbf7b001bfe19a3e44"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the exponential cumulative distribution function for the given y and beta.  <a href="namespacestan_1_1math.html#ac753dcf58b69f0bbf7b001bfe19a3e44">More...</a><br /></td></tr>
+<tr class="separator:ac753dcf58b69f0bbf7b001bfe19a3e44"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="exponential__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac753dcf58b69f0bbf7b001bfe19a3e44">   40</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ac753dcf58b69f0bbf7b001bfe19a3e44">exponential_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_inv_scale&gt;::type</a></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::exponential_cdf&quot;</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      T_partials_return cdf(1.0);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordflow">return</span> cdf;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        operands_and_partials(y, beta);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, beta);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return one_m_exp = 1.0 - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="comment">// cdf</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        cdf *= one_m_exp;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      }</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> T_partials_return one_m_exp = 1.0 - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        T_partials_return rep_deriv = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl) / one_m_exp;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv * beta_dbl * cdf;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += rep_deriv * y_dbl * cdf;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      }</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;  }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;}</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac753dcf58b69f0bbf7b001bfe19a3e44"><div class="ttname"><a href="namespacestan_1_1math.html#ac753dcf58b69f0bbf7b001bfe19a3e44">stan::math::exponential_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_inv_scale &gt;::type exponential_cdf(const T_y &amp;y, const T_inv_scale &amp;beta)</div><div class="ttdoc">Calculates the exponential cumulative distribution function for the given y and beta. </div><div class="ttdef"><b>Definition:</b> <a href="exponential__cdf_8hpp_source.html#l00040">exponential_cdf.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="exponential__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a8fbf986074ea063853c8d244c3c17e0f"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:a8fbf986074ea063853c8d244c3c17e0f"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8fbf986074ea063853c8d244c3c17e0f">stan::math::exponential_cdf_log</a> (const T_y &amp;y, const T_inv_scale &amp;beta)</td></tr>
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+<a href="exponential__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8fbf986074ea063853c8d244c3c17e0f">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a8fbf986074ea063853c8d244c3c17e0f">exponential_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_inv_scale&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::exponential_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordflow">return</span> cdf_log;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        operands_and_partials(y, beta);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, beta);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        T_partials_return one_m_exp = 1.0 - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="comment">// log cdf</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        cdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(one_m_exp);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        T_partials_return rep_deriv = -<a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl) / one_m_exp;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= rep_deriv * beta_dbl;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= rep_deriv * y_dbl;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      }</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    }</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;}</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8fbf986074ea063853c8d244c3c17e0f"><div class="ttname"><a href="namespacestan_1_1math.html#a8fbf986074ea063853c8d244c3c17e0f">stan::math::exponential_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_inv_scale &gt;::type exponential_cdf_log(const T_y &amp;y, const T_inv_scale &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="exponential__cdf__log_8hpp_source.html#l00028">exponential_cdf_log.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="exponential__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:addcdf998d9f336fd9e4118acc6c7a129"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:addcdf998d9f336fd9e4118acc6c7a129"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#addcdf998d9f336fd9e4118acc6c7a129">stan::math::exponential_log</a> (const T_y &amp;y, const T_inv_scale &amp;beta)</td></tr>
+<tr class="memdesc:addcdf998d9f336fd9e4118acc6c7a129"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of an exponential density for y with the specified inverse scale parameter.  <a href="namespacestan_1_1math.html#addcdf998d9f336fd9e4118acc6c7a129">More...</a><br /></td></tr>
+<tr class="separator:addcdf998d9f336fd9e4118acc6c7a129"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af3653c4e36237f4d7403af9f64abbcd2"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:af3653c4e36237f4d7403af9f64abbcd2"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af3653c4e36237f4d7403af9f64abbcd2">stan::math::exponential_log</a> (const T_y &amp;y, const T_inv_scale &amp;beta)</td></tr>
+<tr class="separator:af3653c4e36237f4d7403af9f64abbcd2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="exponential__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto, <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#addcdf998d9f336fd9e4118acc6c7a129">   54</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#addcdf998d9f336fd9e4118acc6c7a129">exponential_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::exponential_log&quot;</span>);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_inv_scale&gt;::type</a></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                             <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, beta);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_inv_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                    T_partials_return, T_inv_scale&gt; log_beta(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta));</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta); i++)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          log_beta[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]));</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        operands_and_partials(y, beta);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          logp += log_beta[n];</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          logp -= beta_dbl * y_dbl;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= beta_dbl;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += 1 / beta_dbl - y_dbl;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      }</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_inv_scale&gt;::type</a></div>
+<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af3653c4e36237f4d7403af9f64abbcd2">  111</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#addcdf998d9f336fd9e4118acc6c7a129">exponential_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keywordflow">return</span> exponential_log&lt;false&gt;(y, beta);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    }</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;  }</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;}</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="exponential__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a6cfcce609912c9a6e1b2fad1e5055a1d"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a6cfcce609912c9a6e1b2fad1e5055a1d"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6cfcce609912c9a6e1b2fad1e5055a1d">stan::math::exponential_rng</a> (const double beta, RNG &amp;rng)</td></tr>
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+<a href="exponential__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_EXPONENTIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> boost::exponential_distribution;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::exponential_rng&quot;</span>);</div>
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+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      variate_generator&lt;RNG&amp;, exponential_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        exp_rng(rng, exponential_distribution&lt;&gt;(beta));</div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;}</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6cfcce609912c9a6e1b2fad1e5055a1d"><div class="ttname"><a href="namespacestan_1_1math.html#a6cfcce609912c9a6e1b2fad1e5055a1d">stan::math::exponential_rng</a></div><div class="ttdeci">double exponential_rng(const double beta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="exponential__rng_8hpp_source.html#l00024">exponential_rng.hpp:24</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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diff --git a/doc/api/html/factor___u_8hpp.html b/doc/api/html/factor___u_8hpp.html
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+<div class="title">factor_U.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;cstddef&gt;</code><br />
+<code>#include &lt;iostream&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="factor___u_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aa6d09763679360f53f07ae20e8efc262"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aa6d09763679360f53f07ae20e8efc262"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa6d09763679360f53f07ae20e8efc262">stan::math::factor_U</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;U, Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs)</td></tr>
+<tr class="memdesc:aa6d09763679360f53f07ae20e8efc262"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function is intended to make starting values, given a unit upper-triangular matrix U such that U'DU is a correlation matrix.  <a href="namespacestan_1_1math.html#aa6d09763679360f53f07ae20e8efc262">More...</a><br /></td></tr>
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+  </span>
+</div>
diff --git a/doc/api/html/factor___u_8hpp_source.html b/doc/api/html/factor___u_8hpp_source.html
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+<div class="contents">
+<a href="factor___u_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_FACTOR_U_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_FACTOR_U_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cstddef&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;iostream&gt;</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa6d09763679360f53f07ae20e8efc262"><div class="ttname"><a href="namespacestan_1_1math.html#aa6d09763679360f53f07ae20e8efc262">stan::math::factor_U</a></div><div class="ttdeci">void factor_U(const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;U, Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs)</div><div class="ttdoc">This function is intended to make starting values, given a unit upper-triangular matrix U such that U...</div><div class="ttdef"><b>Definition:</b> <a href="factor___u_8hpp_source.html#l00029">factor_U.hpp:29</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">factor_cov_matrix.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor___u_8hpp_source.html">stan/math/prim/mat/fun/factor_U.hpp</a>&gt;</code><br />
+<code>#include &lt;cstddef&gt;</code><br />
+</div>
+<p><a href="factor__cov__matrix_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a9d6ef71b2e1a2a216a031d8403458bdd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9d6ef71b2e1a2a216a031d8403458bdd"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9d6ef71b2e1a2a216a031d8403458bdd">stan::math::factor_cov_matrix</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;Sigma, Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;sds)</td></tr>
+<tr class="memdesc:a9d6ef71b2e1a2a216a031d8403458bdd"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function is intended to make starting values, given a covariance matrix Sigma.  <a href="namespacestan_1_1math.html#a9d6ef71b2e1a2a216a031d8403458bdd">More...</a><br /></td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+</div>
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+<div class="title">factor_cov_matrix.hpp</div>  </div>
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+<a href="factor__cov__matrix_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_FACTOR_COV_MATRIX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_FACTOR_COV_MATRIX_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9d6ef71b2e1a2a216a031d8403458bdd">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9d6ef71b2e1a2a216a031d8403458bdd">factor_cov_matrix</a>(<span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                      &lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; Sigma,</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                      Eigen::Array&lt;T, Eigen::Dynamic, 1&gt;&amp; sds) {</div>
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+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      sds = Sigma.diagonal().array();</div>
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+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      sds = sds.sqrt();</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      Eigen::DiagonalMatrix&lt;T, Eigen::Dynamic&gt; D(K);</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; R = D * Sigma * D;</div>
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+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
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+<div class="ttc" id="factor___u_8hpp_html"><div class="ttname"><a href="factor___u_8hpp.html">factor_U.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9d6ef71b2e1a2a216a031d8403458bdd"><div class="ttname"><a href="namespacestan_1_1math.html#a9d6ef71b2e1a2a216a031d8403458bdd">stan::math::factor_cov_matrix</a></div><div class="ttdeci">bool factor_cov_matrix(const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;Sigma, Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;sds)</div><div class="ttdoc">This function is intended to make starting values, given a covariance matrix Sigma. </div><div class="ttdef"><b>Definition:</b> <a href="factor__cov__matrix_8hpp_source.html#l00027">factor_cov_matrix.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa6d09763679360f53f07ae20e8efc262"><div class="ttname"><a href="namespacestan_1_1math.html#aa6d09763679360f53f07ae20e8efc262">stan::math::factor_U</a></div><div class="ttdeci">void factor_U(const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;U, Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs)</div><div class="ttdoc">This function is intended to make starting values, given a unit upper-triangular matrix U such that U...</div><div class="ttdef"><b>Definition:</b> <a href="factor___u_8hpp_source.html#l00029">factor_U.hpp:29</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="hessian_8hpp_source.html">stan/math/mix/mat/functor/hessian.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="finite__diff__grad__hessian_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a138f3242eba971c17756586ace2c15d3"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:a138f3242eba971c17756586ace2c15d3"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a138f3242eba971c17756586ace2c15d3">stan::math::finite_diff_grad_hessian</a> (const F &amp;f, const Eigen::Matrix&lt; double,-1, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double,-1,-1 &gt; &amp;hess, std::vector&lt; Eigen::Matrix&lt; double,-1,-1 &gt; &gt; &amp;grad_hess_fx, const double epsilon=1e-04)</td></tr>
+<tr class="memdesc:a138f3242eba971c17756586ace2c15d3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the value and the gradient of the hessian of the specified function at the specified argument using second-order autodiff and first-order finite difference.  <a href="namespacestan_1_1math.html#a138f3242eba971c17756586ace2c15d3">More...</a><br /></td></tr>
+<tr class="separator:a138f3242eba971c17756586ace2c15d3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+</div><!-- contents -->
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+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
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+<div class="title">finite_diff_grad_hessian.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="finite__diff__grad__hessian_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_MIX_MAT_FUNCTOR_FINITE_DIFF_GRAD_HESSIAN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_MIX_MAT_FUNCTOR_FINITE_DIFF_GRAD_HESSIAN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="hessian_8hpp.html">stan/math/mix/mat/functor/hessian.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keywordtype">void</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a138f3242eba971c17756586ace2c15d3">   43</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a138f3242eba971c17756586ace2c15d3">finite_diff_grad_hessian</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;                             <span class="keyword">const</span> Eigen::Matrix&lt;double, -1, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;                             <span class="keywordtype">double</span>&amp; fx,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                             Eigen::Matrix&lt;double, -1, -1&gt;&amp; hess,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                             std::vector&lt;Eigen::Matrix&lt;double, -1, -1&gt; &gt;&amp;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                             grad_hess_fx,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                             <span class="keyword">const</span> <span class="keywordtype">double</span> epsilon = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-04) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordtype">int</span> d = x.size();</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordtype">double</span> dummy_fx_eval;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      Matrix&lt;double, Dynamic, 1&gt; x_temp(x);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      Matrix&lt;double, Dynamic, 1&gt; grad_auto(d);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      Matrix&lt;double, Dynamic, Dynamic&gt; hess_auto(d, d);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      Matrix&lt;double, Dynamic, Dynamic&gt; hess_diff(d, d);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a01474168e03d94b982b6b4fd694b3302">hessian</a>(f, x, fx, grad_auto, hess);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; d; ++i) {</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        hess_diff.setZero();</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        x_temp(i) = x(i) + 2.0 * epsilon;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a01474168e03d94b982b6b4fd694b3302">hessian</a>(f, x_temp, dummy_fx_eval, grad_auto, hess_auto);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        hess_diff = -hess_auto;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        x_temp(i) = x(i) + -2.0 * epsilon;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a01474168e03d94b982b6b4fd694b3302">hessian</a>(f, x_temp, dummy_fx_eval, grad_auto, hess_auto);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        hess_diff += hess_auto;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        x_temp(i) = x(i) + epsilon;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a01474168e03d94b982b6b4fd694b3302">hessian</a>(f, x_temp, dummy_fx_eval, grad_auto, hess_auto);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        hess_diff += 8.0 * hess_auto;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        x_temp(i) = x(i) + -epsilon;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a01474168e03d94b982b6b4fd694b3302">hessian</a>(f, x_temp, dummy_fx_eval, grad_auto, hess_auto);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        hess_diff -= 8.0 * hess_auto;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        x_temp(i) = x(i);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        hess_diff /= 12.0 * epsilon;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        grad_hess_fx.push_back(hess_diff);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      fx = f(x);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    }</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;  }</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;}</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a01474168e03d94b982b6b4fd694b3302"><div class="ttname"><a href="namespacestan_1_1math.html#a01474168e03d94b982b6b4fd694b3302">stan::math::hessian</a></div><div class="ttdeci">void hessian(const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;grad, Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;H)</div><div class="ttdoc">Calculate the value, the gradient, and the Hessian, of the specified function at the specified argume...</div><div class="ttdef"><b>Definition:</b> <a href="hessian_8hpp_source.html#l00045">hessian.hpp:45</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a138f3242eba971c17756586ace2c15d3"><div class="ttname"><a href="namespacestan_1_1math.html#a138f3242eba971c17756586ace2c15d3">stan::math::finite_diff_grad_hessian</a></div><div class="ttdeci">void finite_diff_grad_hessian(const F &amp;f, const Eigen::Matrix&lt; double,-1, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double,-1,-1 &gt; &amp;hess, std::vector&lt; Eigen::Matrix&lt; double,-1,-1 &gt; &gt; &amp;grad_hess_fx, const double epsilon=1e-04)</div><div class="ttdoc">Calculate the value and the gradient of the hessian of the specified function at the specified argume...</div><div class="ttdef"><b>Definition:</b> <a href="finite__diff__grad__hessian_8hpp_source.html#l00043">finite_diff_grad_hessian.hpp:43</a></div></div>
+<div class="ttc" id="hessian_8hpp_html"><div class="ttname"><a href="hessian_8hpp.html">hessian.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="finite__diff__gradient_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:ab34b9d54bbdc2b13f358a73a3dface45"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:ab34b9d54bbdc2b13f358a73a3dface45"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab34b9d54bbdc2b13f358a73a3dface45">stan::math::finite_diff_gradient</a> (const F &amp;f, const Eigen::Matrix&lt; double,-1, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double,-1, 1 &gt; &amp;grad_fx, const double epsilon=1e-03)</td></tr>
+<tr class="memdesc:ab34b9d54bbdc2b13f358a73a3dface45"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the value and the gradient of the specified function at the specified argument using finite difference.  <a href="namespacestan_1_1math.html#ab34b9d54bbdc2b13f358a73a3dface45">More...</a><br /></td></tr>
+<tr class="separator:ab34b9d54bbdc2b13f358a73a3dface45"><td class="memSeparator" colspan="2">&#160;</td></tr>
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diff --git a/doc/api/html/finite__diff__gradient_8hpp_source.html b/doc/api/html/finite__diff__gradient_8hpp_source.html
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+<div class="title">finite_diff_gradient.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="finite__diff__gradient_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUNCTOR_FINITE_DIFF_GRADIENT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUNCTOR_FINITE_DIFF_GRADIENT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keywordtype">void</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab34b9d54bbdc2b13f358a73a3dface45">   39</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab34b9d54bbdc2b13f358a73a3dface45">finite_diff_gradient</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;double, -1, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                         <span class="keywordtype">double</span>&amp; fx,</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                         Eigen::Matrix&lt;double, -1, 1&gt;&amp; grad_fx,</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                         <span class="keyword">const</span> <span class="keywordtype">double</span> epsilon = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-03) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      Matrix&lt;double, Dynamic, 1&gt; x_temp(x);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordtype">int</span> d = x.size();</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      grad_fx.resize(d);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      fx = f(x);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; d; ++i) {</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="keywordtype">double</span> delta_f = 0.0;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        x_temp(i) = x(i) + 3.0 * epsilon;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        delta_f = f(x_temp);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        x_temp(i) = x(i) + 2.0 * epsilon;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        delta_f -= 9.0 * f(x_temp);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        x_temp(i) = x(i) + epsilon;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        delta_f += 45.0 * f(x_temp);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        x_temp(i) = x(i) + -3.0 * epsilon;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        delta_f -= f(x_temp);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        x_temp(i) = x(i) + -2.0 * epsilon;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        delta_f += 9.0 * f(x_temp);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        x_temp(i) = x(i) + -epsilon;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        delta_f -= 45.0 * f(x_temp);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        delta_f /= 60 * epsilon;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        x_temp(i) = x(i);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        grad_fx(i) = delta_f;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    }</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;  }</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;}</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab34b9d54bbdc2b13f358a73a3dface45"><div class="ttname"><a href="namespacestan_1_1math.html#ab34b9d54bbdc2b13f358a73a3dface45">stan::math::finite_diff_gradient</a></div><div class="ttdeci">void finite_diff_gradient(const F &amp;f, const Eigen::Matrix&lt; double,-1, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double,-1, 1 &gt; &amp;grad_fx, const double epsilon=1e-03)</div><div class="ttdoc">Calculate the value and the gradient of the specified function at the specified argument using finite...</div><div class="ttdef"><b>Definition:</b> <a href="finite__diff__gradient_8hpp_source.html#l00039">finite_diff_gradient.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="finite__diff__gradient_8hpp_source.html">stan/math/prim/mat/functor/finite_diff_gradient.hpp</a>&gt;</code><br />
+</div>
+<p><a href="finite__diff__hessian_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a9cfae14a02b57bee53b454f64b58c0b1"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:a9cfae14a02b57bee53b454f64b58c0b1"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9cfae14a02b57bee53b454f64b58c0b1">stan::math::finite_diff_hess_helper</a> (const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, const int lambda, const double epsilon=1e-03)</td></tr>
+<tr class="separator:a9cfae14a02b57bee53b454f64b58c0b1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8b6ed64f691a457cb6691d7b478b4a1d"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:a8b6ed64f691a457cb6691d7b478b4a1d"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8b6ed64f691a457cb6691d7b478b4a1d">stan::math::finite_diff_hessian</a> (const F &amp;f, const Eigen::Matrix&lt; double,-1, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double,-1, 1 &gt; &amp;grad_fx, Eigen::Matrix&lt; double,-1,-1 &gt; &amp;hess_fx, const double epsilon=1e-03)</td></tr>
+<tr class="memdesc:a8b6ed64f691a457cb6691d7b478b4a1d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the value and the Hessian of the specified function at the specified argument using second-order finite difference.  <a href="namespacestan_1_1math.html#a8b6ed64f691a457cb6691d7b478b4a1d">More...</a><br /></td></tr>
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+<div class="contents">
+<a href="finite__diff__hessian_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUNCTOR_FINITE_DIFF_HESSIAN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUNCTOR_FINITE_DIFF_HESSIAN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="finite__diff__gradient_8hpp.html">stan/math/prim/mat/functor/finite_diff_gradient.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9cfae14a02b57bee53b454f64b58c0b1">   13</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9cfae14a02b57bee53b454f64b58c0b1">finite_diff_hess_helper</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;                            <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;                            <span class="keyword">const</span> <span class="keywordtype">int</span> lambda,</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;                            <span class="keyword">const</span> <span class="keywordtype">double</span> epsilon = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-03) {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      Matrix&lt;double, Dynamic, 1&gt; x_temp(x);</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      x_temp(lambda) = x(lambda) + -2.0 * epsilon;</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      x_temp(lambda) = x(lambda) + epsilon;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      grad += 8.0 * f(x_temp);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      x_temp(lambda) = x(lambda) + -epsilon;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      grad -= 8.0 * f(x_temp);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">grad</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    }</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    <span class="keywordtype">void</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8b6ed64f691a457cb6691d7b478b4a1d">   67</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a8b6ed64f691a457cb6691d7b478b4a1d">finite_diff_hessian</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                        <span class="keyword">const</span> Eigen::Matrix&lt;double, -1, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                        <span class="keywordtype">double</span>&amp; fx,</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                        Eigen::Matrix&lt;double, -1, 1&gt;&amp; grad_fx,</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                        Eigen::Matrix&lt;double, -1, -1&gt;&amp; hess_fx,</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                        <span class="keyword">const</span> <span class="keywordtype">double</span> epsilon = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-03) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordtype">int</span> d = x.size();</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      Matrix&lt;double, Dynamic, 1&gt; x_temp(x);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      hess_fx.resize(d, d);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="finite__diff__gradient_8hpp_html"><div class="ttname"><a href="finite__diff__gradient_8hpp.html">finite_diff_gradient.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a20437f997cf28c6013d897f1d8099106"><div class="ttname"><a href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">stan::math::grad</a></div><div class="ttdeci">static void grad(vari *vi)</div><div class="ttdoc">Compute the gradient for all variables starting from the specified root variable implementation. </div><div class="ttdef"><b>Definition:</b> <a href="core_2grad_8hpp_source.html#l00030">grad.hpp:30</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab34b9d54bbdc2b13f358a73a3dface45"><div class="ttname"><a href="namespacestan_1_1math.html#ab34b9d54bbdc2b13f358a73a3dface45">stan::math::finite_diff_gradient</a></div><div class="ttdeci">void finite_diff_gradient(const F &amp;f, const Eigen::Matrix&lt; double,-1, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double,-1, 1 &gt; &amp;grad_fx, const double epsilon=1e-03)</div><div class="ttdoc">Calculate the value and the gradient of the specified function at the specified argument using finite...</div><div class="ttdef"><b>Definition:</b> <a href="finite__diff__gradient_8hpp_source.html#l00039">finite_diff_gradient.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8b6ed64f691a457cb6691d7b478b4a1d"><div class="ttname"><a href="namespacestan_1_1math.html#a8b6ed64f691a457cb6691d7b478b4a1d">stan::math::finite_diff_hessian</a></div><div class="ttdeci">void finite_diff_hessian(const F &amp;f, const Eigen::Matrix&lt; double,-1, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double,-1, 1 &gt; &amp;grad_fx, Eigen::Matrix&lt; double,-1,-1 &gt; &amp;hess_fx, const double epsilon=1e-03)</div><div class="ttdoc">Calculate the value and the Hessian of the specified function at the specified argument using second-...</div><div class="ttdef"><b>Definition:</b> <a href="finite__diff__hessian_8hpp_source.html#l00067">finite_diff_hessian.hpp:67</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9cfae14a02b57bee53b454f64b58c0b1"><div class="ttname"><a href="namespacestan_1_1math.html#a9cfae14a02b57bee53b454f64b58c0b1">stan::math::finite_diff_hess_helper</a></div><div class="ttdeci">double finite_diff_hess_helper(const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, const int lambda, const double epsilon=1e-03)</div><div class="ttdef"><b>Definition:</b> <a href="finite__diff__hessian_8hpp_source.html#l00013">finite_diff_hessian.hpp:13</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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new file mode 100644
index 0000000000000000000000000000000000000000..b6e0772e2d08b4dc61eb6c55d2556f542506bfa9
GIT binary patch
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diff --git a/doc/api/html/form_391.png b/doc/api/html/form_391.png
new file mode 100644
index 0000000000000000000000000000000000000000..342e040540e9d89586af50926a71e62ef039191e
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new file mode 100644
index 0000000000000000000000000000000000000000..030566e455003c6ce37979d7ec59f8daf7452aea
GIT binary patch
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diff --git a/doc/api/html/form_393.png b/doc/api/html/form_393.png
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index 0000000000000000000000000000000000000000..c33ee84bc10ca34ef143204f824075b9148b5777
GIT binary patch
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GIT binary patch
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diff --git a/doc/api/html/formula.repository b/doc/api/html/formula.repository
new file mode 100644
index 00000000000..6ce6b9538b2
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+++ b/doc/api/html/formula.repository
@@ -0,0 +1,449 @@
+\form#0:\[ \mbox{fma}(x, y, z) = \begin{cases} x\cdot y+z & \mbox{if } -\infty\leq x, y, z \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#1:\[ \frac{\partial\, \mbox{fma}(x, y, z)}{\partial x} = \begin{cases} y & \mbox{if } -\infty\leq x, y, z \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#2:\[ \frac{\partial\, \mbox{fma}(x, y, z)}{\partial y} = \begin{cases} x & \mbox{if } -\infty\leq x, y, z \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#3:\[ \frac{\partial\, \mbox{fma}(x, y, z)}{\partial z} = \begin{cases} 1 & \mbox{if } -\infty\leq x, y, z \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#4:\[ \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \log \left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right). \]
+\form#5:\[ \frac{\partial}{\partial \theta} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \dfrac{\exp(\lambda_1) - \exp(\lambda_2)} {\left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right)} \]
+\form#6:\[ \frac{\partial}{\partial \lambda_1} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \dfrac{\theta \exp(\lambda_1)} {\left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right)} \]
+\form#7:\[ \frac{\partial}{\partial \lambda_2} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \dfrac{\theta \exp(\lambda_2)} {\left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right)} \]
+\form#8:$\log \sum_{n=1}^N \exp(x_n) = \max(x) + \log \sum_{n=1}^N \exp(x_n - \max(x))$
+\form#9:$L$
+\form#10:$A$
+\form#11:$A = L \times L^T$
+\form#12:${k \choose 2} = \frac{k(k-1)}{2}$
+\form#13:$k \choose 2$
+\form#14:$k \choose 2 + k$
+\form#15:$k$
+\form#16:$ \log \mbox{softmax}(y) \ = \ y - \log \sum_{k=1}^K \exp(y_k) \ = \ y - \mbox{log\_sum\_exp}(y). $
+\form#17:$ \frac{\partial}{\partial y_m} \mbox{softmax}(y)[k] = \left\{ \begin{array}{ll} 1 - \mbox{softmax}(y)[m] & \mbox{ if } m = k, \mbox{ and} \\[6pt] \mbox{softmax}(y)[m] & \mbox{ if } m \neq k. \end{array} \right. $
+\form#18:$ \mbox{softmax}(y) = \frac{\exp(y)} {\sum_{k=1}^K \exp(y_k)}, $
+\form#19:$ \begin{array}{l} \displaystyle \frac{\partial}{\partial y_m} \mbox{softmax}(y)[k] \\[8pt] \displaystyle \mbox{ } \ \ \ = \left\{ \begin{array}{ll} \mbox{softmax}(y)[k] - \mbox{softmax}(y)[k] \times \mbox{softmax}(y)[m] & \mbox{ if } m = k, \mbox{ and} \\[6pt] \mbox{softmax}(y)[k] * \mbox{softmax}(y)[m] & \mbox{ if } m \neq k. \end{array} \right. \end{array} $
+\form#20:\begin{eqnarray*} \theta &\sim& \mbox{\sf{Dirichlet}} (\alpha_1, \ldots, \alpha_k) \\ \log (p (\theta \, |\, \alpha_1, \ldots, \alpha_k) ) &=& \log \left( \frac{\Gamma(\alpha_1 + \cdots + \alpha_k)}{\Gamma(\alpha_1) \cdots \Gamma(\alpha_k)} \theta_1^{\alpha_1 - 1} \cdots \theta_k^{\alpha_k - 1} \right) \\ &=& \log (\Gamma(\alpha_1 + \cdots + \alpha_k)) - \log(\Gamma(\alpha_1)) - \cdots - \log(\Gamma(\alpha_k)) + (\alpha_1 - 1) \log (\theta_1) + \cdots + (\alpha_k - 1) \log (\theta_k) \end{eqnarray*}
+\form#21:$t = 1:T$
+\form#22:\begin{eqnarray*} y_t & \sim N(F' \theta_t, V) \\ \theta_t & \sim N(G \theta_{t-1}, W) \\ \theta_0 & \sim N(m_0, C_0) \end{eqnarray*}
+\form#23:\begin{eqnarray*} y_t & \sim N(F' \theta_t, diag(V)) \\ \theta_t & \sim N(G \theta_{t-1}, W) \\ \theta_0 & \sim N(m_0, C_0) \end{eqnarray*}
+\form#24:\begin{eqnarray*} W &\sim& \mbox{\sf{Inv-Wishart}}_{\nu} (S) \\ \log (p (W \, |\, \nu, S) ) &=& \log \left( \left(2^{\nu k/2} \pi^{k (k-1) /4} \prod_{i=1}^k{\Gamma (\frac{\nu + 1 - i}{2})} \right)^{-1} \times \left| S \right|^{\nu/2} \left| W \right|^{-(\nu + k + 1) / 2} \times \exp (-\frac{1}{2} \mbox{tr} (S W^{-1})) \right) \\ &=& -\frac{\nu k}{2}\log(2) - \frac{k (k-1)}{4} \log(\pi) - \sum_{i=1}^{k}{\log (\Gamma (\frac{\nu+1-i}{2}))} +\frac{\nu}{2} \log(\det(S)) - \frac{\nu+k+1}{2}\log (\det(W)) - \frac{1}{2} \mbox{tr}(S W^{-1}) \end{eqnarray*}
+\form#25:\begin{eqnarray*} W &\sim& \mbox{\sf{Wishart}}_{\nu} (S) \\ \log (p (W \, |\, \nu, S) ) &=& \log \left( \left(2^{\nu k/2} \pi^{k (k-1) /4} \prod_{i=1}^k{\Gamma (\frac{\nu + 1 - i}{2})} \right)^{-1} \times \left| S \right|^{-\nu/2} \left| W \right|^{(\nu - k - 1) / 2} \times \exp (-\frac{1}{2} \mbox{tr} (S^{-1} W)) \right) \\ &=& -\frac{\nu k}{2}\log(2) - \frac{k (k-1)}{4} \log(\pi) - \sum_{i=1}^{k}{\log (\Gamma (\frac{\nu+1-i}{2}))} -\frac{\nu}{2} \log(\det(S)) + \frac{\nu-k-1}{2}\log (\det(W)) - \frac{1}{2} \mbox{tr} (S^{-1}W) \end{eqnarray*}
+\form#26:\[ \mbox{bessel\_first\_kind}(v, x) = \begin{cases} J_v(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{error} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#27:\[ \frac{\partial\, \mbox{bessel\_first\_kind}(v, x)}{\partial x} = \begin{cases} \frac{\partial\, J_v(x)}{\partial x} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{error} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#28:\[ J_v(x)=\left(\frac{1}{2}x\right)^v \sum_{k=0}^\infty \frac{\left(-\frac{1}{4}x^2\right)^k}{k!\, \Gamma(v+k+1)} \]
+\form#29:\[ \frac{\partial \, J_v(x)}{\partial x} = \frac{v}{x}J_v(x)-J_{v+1}(x) \]
+\form#30:\[ \mbox{bessel\_second\_kind}(v, x) = \begin{cases} \textrm{error} & \mbox{if } x \leq 0 \\ Y_v(x) & \mbox{if } x > 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#31:\[ \frac{\partial\, \mbox{bessel\_second\_kind}(v, x)}{\partial x} = \begin{cases} \textrm{error} & \mbox{if } x \leq 0 \\ \frac{\partial\, Y_v(x)}{\partial x} & \mbox{if } x > 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#32:\[ Y_v(x)=\frac{J_v(x)\cos(v\pi)-J_{-v}(x)}{\sin(v\pi)} \]
+\form#33:\[ \frac{\partial \, Y_v(x)}{\partial x} = \frac{v}{x}Y_v(x)-Y_{v+1}(x) \]
+\form#34:$\hat{y} \in [0, 1]$
+\form#35:$y \in \{ 0, 1 \}$
+\form#36:$\mbox{logloss}(1, \hat{y}) = -\log \hat{y} $
+\form#37:$\mbox{logloss}(0, \hat{y}) = -\log (1 - \hat{y}) $
+\form#38:${N \choose n}$
+\form#39:$0 \leq n \leq N$
+\form#40:${N \choose n} = \frac{N!}{n! (N-n)!}$
+\form#41:$ \log {N \choose n} = \log \ \Gamma(N+1) - \log \Gamma(n+1) - \log \Gamma(N-n+1)$
+\form#42:\[ \mbox{binomial\_coefficient\_log}(x, y) = \begin{cases} \textrm{error} & \mbox{if } y > x \textrm{ or } y < 0\\ \ln\Gamma(x+1) & \mbox{if } 0\leq y \leq x \\ \quad -\ln\Gamma(y+1)& \\ \quad -\ln\Gamma(x-y+1)& \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#43:\[ \frac{\partial\, \mbox{binomial\_coefficient\_log}(x, y)}{\partial x} = \begin{cases} \textrm{error} & \mbox{if } y > x \textrm{ or } y < 0\\ \Psi(x+1) & \mbox{if } 0\leq y \leq x \\ \quad -\Psi(x-y+1)& \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#44:\[ \frac{\partial\, \mbox{binomial\_coefficient\_log}(x, y)}{\partial y} = \begin{cases} \textrm{error} & \mbox{if } y > x \textrm{ or } y < 0\\ -\Psi(y+1) & \mbox{if } 0\leq y \leq x \\ \quad +\Psi(x-y+1)& \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#45:$ e $
+\form#46:$ \sqrt{2} $
+\form#47:$ 1 / \sqrt{2} $
+\form#48:$ \log 2 $
+\form#49:$ \log 10 $
+\form#50:$ \log \pi / 4 $
+\form#51:$f(x) = \tanh x = \frac{\exp(2x) - 1}{\exp(2x) + 1}$
+\form#52:$\log | \frac{d}{dx} \tanh x | = \log (1 - \tanh^2 x)$
+\form#53:$ f^{-1}(y) = \mbox{atanh}\, y = \frac{1}{2} \log \frac{y + 1}{y - 1}$
+\form#54:\[ \mbox{digamma}(x) = \begin{cases} \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \Psi(x) & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#55:\[ \frac{\partial\, \mbox{digamma}(x)}{\partial x} = \begin{cases} \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \frac{\partial\, \Psi(x)}{\partial x} & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#56:\[ \Psi(x)=\frac{\Gamma'(x)}{\Gamma(x)} \]
+\form#57:\[ \frac{\partial \, \Psi(x)}{\partial x} = \frac{\Gamma''(x)\Gamma(x)-(\Gamma'(x))^2}{\Gamma^2(x)} \]
+\form#58:\[ \mbox{falling\_factorial}(x, n) = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ (x)_n & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#59:\[ \frac{\partial\, \mbox{falling\_factorial}(x, n)}{\partial x} = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ \frac{\partial\, (x)_n}{\partial x} & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#60:\[ \frac{\partial\, \mbox{falling\_factorial}(x, n)}{\partial n} = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ \frac{\partial\, (x)_n}{\partial n} & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#61:\[ (x)_n=\frac{\Gamma(x+1)}{\Gamma(x-n+1)} \]
+\form#62:\[ \frac{\partial \, (x)_n}{\partial x} = (x)_n\Psi(x+1) \]
+\form#63:\[ \frac{\partial \, (x)_n}{\partial n} = -(x)_n\Psi(n+1) \]
+\form#64:\[ \mbox{gamma\_p}(a, z) = \begin{cases} \textrm{error} & \mbox{if } a\leq 0 \textrm{ or } z < 0\\ P(a, z) & \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} & \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]
+\form#65:\[ \frac{\partial\, \mbox{gamma\_p}(a, z)}{\partial a} = \begin{cases} \textrm{error} & \mbox{if } a\leq 0 \textrm{ or } z < 0\\ \frac{\partial\, P(a, z)}{\partial a} & \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} & \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]
+\form#66:\[ \frac{\partial\, \mbox{gamma\_p}(a, z)}{\partial z} = \begin{cases} \textrm{error} & \mbox{if } a\leq 0 \textrm{ or } z < 0\\ \frac{\partial\, P(a, z)}{\partial z} & \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} & \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]
+\form#67:\[ P(a, z)=\frac{1}{\Gamma(a)}\int_0^zt^{a-1}e^{-t}dt \]
+\form#68:\[ \frac{\partial \, P(a, z)}{\partial a} = -\frac{\Psi(a)}{\Gamma^2(a)}\int_0^zt^{a-1}e^{-t}dt + \frac{1}{\Gamma(a)}\int_0^z (a-1)t^{a-2}e^{-t}dt \]
+\form#69:\[ \frac{\partial \, P(a, z)}{\partial z} = \frac{z^{a-1}e^{-z}}{\Gamma(a)} \]
+\form#70:\[ \mbox{gamma\_q}(a, z) = \begin{cases} \textrm{error} & \mbox{if } a\leq 0 \textrm{ or } z < 0\\ Q(a, z) & \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} & \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]
+\form#71:\[ \frac{\partial\, \mbox{gamma\_q}(a, z)}{\partial a} = \begin{cases} \textrm{error} & \mbox{if } a\leq 0 \textrm{ or } z < 0\\ \frac{\partial\, Q(a, z)}{\partial a} & \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} & \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]
+\form#72:\[ \frac{\partial\, \mbox{gamma\_q}(a, z)}{\partial z} = \begin{cases} \textrm{error} & \mbox{if } a\leq 0 \textrm{ or } z < 0\\ \frac{\partial\, Q(a, z)}{\partial z} & \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} & \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]
+\form#73:\[ Q(a, z)=\frac{1}{\Gamma(a)}\int_z^\infty t^{a-1}e^{-t}dt \]
+\form#74:\[ \frac{\partial \, Q(a, z)}{\partial a} = -\frac{\Psi(a)}{\Gamma^2(a)}\int_z^\infty t^{a-1}e^{-t}dt + \frac{1}{\Gamma(a)}\int_z^\infty (a-1)t^{a-2}e^{-t}dt \]
+\form#75:\[ \frac{\partial \, Q(a, z)}{\partial z} = -\frac{z^{a-1}e^{-z}}{\Gamma(a)} \]
+\form#76:\[ \mbox{int\_step}(x) = \begin{cases} 0 & \mbox{if } x \leq 0 \\ 1 & \mbox{if } x > 0 \\[6pt] 0 & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#77:\[ \mbox{inv\_cloglog}(y) = \begin{cases} \mbox{cloglog}^{-1}(y) & \mbox{if } -\infty\leq y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } y = \textrm{NaN} \end{cases} \]
+\form#78:\[ \frac{\partial\, \mbox{inv\_cloglog}(y)}{\partial y} = \begin{cases} \frac{\partial\, \mbox{cloglog}^{-1}(y)}{\partial y} & \mbox{if } -\infty\leq y\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } y = \textrm{NaN} \end{cases} \]
+\form#79:\[ \mbox{cloglog}^{-1}(y) = 1 - \exp \left( - \exp(y) \right) \]
+\form#80:\[ \frac{\partial \, \mbox{cloglog}^{-1}(y)}{\partial y} = \exp(y-\exp(y)) \]
+\form#81:$\mbox{logit}^{-1}(x) = \frac{1}{1 + \exp(-x)}$
+\form#82:\[ \mbox{inv\_logit}(y) = \begin{cases} \mbox{logit}^{-1}(y) & \mbox{if } -\infty\leq y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } y = \textrm{NaN} \end{cases} \]
+\form#83:\[ \frac{\partial\, \mbox{inv\_logit}(y)}{\partial y} = \begin{cases} \frac{\partial\, \mbox{logit}^{-1}(y)}{\partial y} & \mbox{if } -\infty\leq y\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } y = \textrm{NaN} \end{cases} \]
+\form#84:\[ \mbox{logit}^{-1}(y) = \frac{1}{1 + \exp(-y)} \]
+\form#85:\[ \frac{\partial \, \mbox{logit}^{-1}(y)}{\partial y} = \frac{\exp(y)}{(\exp(y)+1)^2} \]
+\form#86:$\Phi(x) = \int_{-\infty}^x \mbox{\sf Norm}(x|0, 1) \ dx = p$
+\form#87:$\mbox{inverse\_softmax}(x)[i] = \log x[i]$
+\form#88:$f(x) = \exp(x) + L$
+\form#89:$a > 0$
+\form#90:$b > 0$
+\form#91:$\mbox{B}(a, b) = \frac{\Gamma(a) \Gamma(b)}{\Gamma(a+b)}$
+\form#92:$\log \mbox{B}(a, b) = \log \Gamma(a) + \log \Gamma(b) - \log \Gamma(a+b)$
+\form#93:\[ \mbox{lbeta}(\alpha, \beta) = \begin{cases} \ln\int_0^1 u^{\alpha - 1} (1 - u)^{\beta - 1} \, du & \mbox{if } \alpha, \beta>0 \\[6pt] \textrm{NaN} & \mbox{if } \alpha = \textrm{NaN or } \beta = \textrm{NaN} \end{cases} \]
+\form#94:\[ \frac{\partial\, \mbox{lbeta}(\alpha, \beta)}{\partial \alpha} = \begin{cases} \Psi(\alpha)-\Psi(\alpha+\beta) & \mbox{if } \alpha, \beta>0 \\[6pt] \textrm{NaN} & \mbox{if } \alpha = \textrm{NaN or } \beta = \textrm{NaN} \end{cases} \]
+\form#95:\[ \frac{\partial\, \mbox{lbeta}(\alpha, \beta)}{\partial \beta} = \begin{cases} \Psi(\beta)-\Psi(\alpha+\beta) & \mbox{if } \alpha, \beta>0 \\[6pt] \textrm{NaN} & \mbox{if } \alpha = \textrm{NaN or } \beta = \textrm{NaN} \end{cases} \]
+\form#96:\[ \mbox{lgamma}(x) = \begin{cases} \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \ln\Gamma(x) & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#97:\[ \frac{\partial\, \mbox{lgamma}(x)}{\partial x} = \begin{cases} \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \Psi(x) & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#98:$\Gamma_k(x)$
+\form#99:$x$
+\form#100:$\Gamma_k(x) = \pi^{k(k-1)/4} \, \prod_{j=1}^k \Gamma(x + (1 - j)/2)$
+\form#101:$\Gamma()$
+\form#102:\[ \mbox{lmgamma}(n, x) = \begin{cases} \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \ln\Gamma_n(x) & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#103:\[ \frac{\partial\, \mbox{lmgamma}(n, x)}{\partial x} = \begin{cases} \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \frac{\partial\, \ln\Gamma_n(x)}{\partial x} & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#104:\[ \ln\Gamma_n(x) = \pi^{n(n-1)/4} \, \prod_{j=1}^n \Gamma(x + (1 - j)/2) \]
+\form#105:\[ \frac{\partial \, \ln\Gamma_n(x)}{\partial x} = \sum_{j=1}^n \Psi(x + (1 - j) / 2) \]
+\form#106:\[ \mbox{log1m}(x) = \begin{cases} \ln(1-x) & \mbox{if } x \leq 1 \\ \textrm{NaN} & \mbox{if } x > 1\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#107:\[ \frac{\partial\, \mbox{log1m}(x)}{\partial x} = \begin{cases} -\frac{1}{1-x} & \mbox{if } x \leq 1 \\ \textrm{NaN} & \mbox{if } x > 1\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#108:\[ \mbox{log1m\_exp}(x) = \begin{cases} \ln(1-\exp(x)) & \mbox{if } x < 0 \\ \textrm{NaN} & \mbox{if } x \geq 0\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#109:\[ \frac{\partial\, \mbox{asinh}(x)}{\partial x} = \begin{cases} -\frac{\exp(x)}{1-\exp(x)} & \mbox{if } x < 0 \\ \textrm{NaN} & \mbox{if } x \geq 0\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#110:\[ \mbox{log1m\_inv\_logit}(x) = \begin{cases} -\ln(\exp(x)+1) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#111:\[ \frac{\partial\, \mbox{log1m\_inv\_logit}(x)}{\partial x} = \begin{cases} -\frac{\exp(x)}{\exp(x)+1} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#112:\[ \mbox{log1p}(x) = \begin{cases} \textrm{NaN} & \mbox{if } x < -1\\ \ln(1+x)& \mbox{if } x\geq -1 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#113:\[ \frac{\partial\, \mbox{log1p}(x)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x < -1\\ \frac{1}{1+x} & \mbox{if } x\geq -1 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#114:\[ \mbox{log1p\_exp}(x) = \begin{cases} \ln(1+\exp(x)) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#115:\[ \frac{\partial\, \mbox{log1p\_exp}(x)}{\partial x} = \begin{cases} \frac{\exp(x)}{1+\exp(x)} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#116:\[ \mbox{log\_diff\_exp}(x, y) = \begin{cases} \textrm{NaN} & \mbox{if } x \leq y\\ \ln(\exp(x)-\exp(y)) & \mbox{if } x > y \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#117:\[ \frac{\partial\, \mbox{log\_diff\_exp}(x, y)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x \leq y\\ \frac{\exp(x)}{\exp(x)-\exp(y)} & \mbox{if } x > y \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#118:\[ \frac{\partial\, \mbox{log\_diff\_exp}(x, y)}{\partial y} = \begin{cases} \textrm{NaN} & \mbox{if } x \leq y\\ -\frac{\exp(y)}{\exp(x)-\exp(y)} & \mbox{if } x > y \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#119:\[ \mbox{log\_falling\_factorial}(x, n) = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ \ln (x)_n & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#120:\[ \frac{\partial\, \mbox{log\_falling\_factorial}(x, n)}{\partial x} = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ \Psi(x) & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#121:\[ \frac{\partial\, \mbox{log\_falling\_factorial}(x, n)}{\partial n} = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ -\Psi(n) & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#122:\[ \mbox{log\_inv\_logit}(x) = \begin{cases} \ln\left(\frac{1}{1+\exp(-x)}\right)& \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#123:\[ \frac{\partial\, \mbox{log\_inv\_logit}(x)}{\partial x} = \begin{cases} \frac{1}{1+\exp(x)} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#124:\[ \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \log \left( \theta \lambda_1 + (1 - \theta) \lambda_2 \right). \]
+\form#125:\[ \frac{\partial}{\partial \theta} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = FIXME \]
+\form#126:\[ \frac{\partial}{\partial \lambda_1} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = FIXME \]
+\form#127:\[ \frac{\partial}{\partial \lambda_2} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = FIXME \]
+\form#128:\[ \mbox{log\_rising\_factorial}(x, n) = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ \ln x^{(n)} & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#129:\[ \frac{\partial\, \mbox{log\_rising\_factorial}(x, n)}{\partial x} = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ \Psi(x+n) - \Psi(x) & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#130:\[ \frac{\partial\, \mbox{log\_rising\_factorial}(x, n)}{\partial n} = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ \Psi(x+n) & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#131:$\log (\exp(a) + \exp(b)) = m + \log(\exp(a-m) + \exp(b-m))$
+\form#132:$m = max(a, b)$
+\form#133:\[ \mbox{log\_sum\_exp}(x, y) = \begin{cases} \ln(\exp(x)+\exp(y)) & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#134:\[ \frac{\partial\, \mbox{log\_sum\_exp}(x, y)}{\partial x} = \begin{cases} \frac{\exp(x)}{\exp(x)+\exp(y)} & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#135:\[ \frac{\partial\, \mbox{log\_sum\_exp}(x, y)}{\partial y} = \begin{cases} \frac{\exp(y)}{\exp(x)+\exp(y)} & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#136:\[ \mbox{operator\&\&}(x, y) = \begin{cases} 0 & \mbox{if } x = 0 \textrm{ or } y=0 \\ 1 & \mbox{if } x, y \neq 0 \\[6pt] 1 & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#137:\[ \mbox{operator||}(x, y) = \begin{cases} 0 & \mbox{if } x, y=0 \\ 1 & \mbox{if } x \neq 0 \textrm{ or } y\neq0\\[6pt] 1 & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#138:$x \in [0, 1]$
+\form#139:$\mbox{logit}(x) = \log \left( \frac{x}{1 - x} \right)$
+\form#140:\[ \mbox{logit}(x) = \begin{cases} \textrm{NaN}& \mbox{if } x < 0 \textrm{ or } x > 1\\ \ln\frac{x}{1-x} & \mbox{if } 0\leq x \leq 1 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#141:\[ \frac{\partial\, \mbox{logit}(x)}{\partial x} = \begin{cases} \textrm{NaN}& \mbox{if } x < 0 \textrm{ or } x > 1\\ \frac{1}{x-x^2}& \mbox{if } 0\leq x\leq 1 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#142:$f(x) = L + (U - L) \mbox{logit}^{-1}(x)$
+\form#143:$\log \left| \frac{d}{dx} \left( L + (U-L) \mbox{logit}^{-1}(x) \right) \right|$
+\form#144:$ {} = \log | (U-L) \, (\mbox{logit}^{-1}(x)) \, (1 - \mbox{logit}^{-1}(x)) |$
+\form#145:$ {} = \log (U - L) + \log (\mbox{logit}^{-1}(x)) + \log (1 - \mbox{logit}^{-1}(x))$
+\form#146:$f^{-1}(y) = \mbox{logit}(\frac{y - L}{U - L})$
+\form#147:$U$
+\form#148:\[ \mbox{modified\_bessel\_first\_kind}(v, z) = \begin{cases} I_v(z) & \mbox{if } -\infty\leq z \leq \infty \\[6pt] \textrm{error} & \mbox{if } z = \textrm{NaN} \end{cases} \]
+\form#149:\[ \frac{\partial\, \mbox{modified\_bessel\_first\_kind}(v, z)}{\partial z} = \begin{cases} \frac{\partial\, I_v(z)}{\partial z} & \mbox{if } -\infty\leq z\leq \infty \\[6pt] \textrm{error} & \mbox{if } z = \textrm{NaN} \end{cases} \]
+\form#150:\[ {I_v}(z) = \left(\frac{1}{2}z\right)^v\sum_{k=0}^\infty \frac{\left(\frac{1}{4}z^2\right)^k}{k!\Gamma(v+k+1)} \]
+\form#151:\[ \frac{\partial \, I_v(z)}{\partial z} = I_{v-1}(z)-\frac{v}{z}I_v(z) \]
+\form#152:\[ \mbox{modified\_bessel\_second\_kind}(v, z) = \begin{cases} \textrm{error} & \mbox{if } z \leq 0 \\ K_v(z) & \mbox{if } z > 0 \\[6pt] \textrm{NaN} & \mbox{if } z = \textrm{NaN} \end{cases} \]
+\form#153:\[ \frac{\partial\, \mbox{modified\_bessel\_second\_kind}(v, z)}{\partial z} = \begin{cases} \textrm{error} & \mbox{if } z \leq 0 \\ \frac{\partial\, K_v(z)}{\partial z} & \mbox{if } z > 0 \\[6pt] \textrm{NaN} & \mbox{if } z = \textrm{NaN} \end{cases} \]
+\form#154:\[ {K_v}(z) = \frac{\pi}{2}\cdot\frac{I_{-v}(z) - I_{v}(z)}{\sin(v\pi)} \]
+\form#155:\[ \frac{\partial \, K_v(z)}{\partial z} = -\frac{v}{z}K_v(z)-K_{v-1}(z) \]
+\form#156:$ a * \log b $
+\form#157:\[ \mbox{multiply\_log}(x, y) = \begin{cases} 0 & \mbox{if } x=y=0\\ x\ln y & \mbox{if } x, y\neq0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#158:\[ \frac{\partial\, \mbox{multiply\_log}(x, y)}{\partial x} = \begin{cases} \infty & \mbox{if } x=y=0\\ \ln y & \mbox{if } x, y\neq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#159:\[ \frac{\partial\, \mbox{multiply\_log}(x, y)}{\partial y} = \begin{cases} \infty & \mbox{if } x=y=0\\ \frac{x}{y} & \mbox{if } x, y\neq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#160:\[ \mbox{owens\_t}(h, a) = \begin{cases} \mbox{owens\_t}(h, a) & \mbox{if } -\infty\leq h, a \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } h = \textrm{NaN or } a = \textrm{NaN} \end{cases} \]
+\form#161:\[ \frac{\partial\, \mbox{owens\_t}(h, a)}{\partial h} = \begin{cases} \frac{\partial\, \mbox{owens\_t}(h, a)}{\partial h} & \mbox{if } -\infty\leq h, a\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } h = \textrm{NaN or } a = \textrm{NaN} \end{cases} \]
+\form#162:\[ \frac{\partial\, \mbox{owens\_t}(h, a)}{\partial a} = \begin{cases} \frac{\partial\, \mbox{owens\_t}(h, a)}{\partial a} & \mbox{if } -\infty\leq h, a\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } h = \textrm{NaN or } a = \textrm{NaN} \end{cases} \]
+\form#163:\[ \mbox{owens\_t}(h, a) = \frac{1}{2\pi} \int_0^a \frac{\exp(-\frac{1}{2}h^2(1+x^2))}{1+x^2}dx \]
+\form#164:\[ \frac{\partial \, \mbox{owens\_t}(h, a)}{\partial h} = -\frac{1}{2\sqrt{2\pi}} \operatorname{erf}\left(\frac{ha}{\sqrt{2}}\right) \exp\left(-\frac{h^2}{2}\right) \]
+\form#165:\[ \frac{\partial \, \mbox{owens\_t}(h, a)}{\partial a} = \frac{\exp\left(-\frac{1}{2}h^2(1+a^2)\right)}{2\pi (1+a^2)} \]
+\form#166:$\Phi(x) = \int_{-\infty}^x \mbox{\sf Norm}(x|0, 1) \ dx$
+\form#167:$f(x) = \exp(x)$
+\form#168:$\log | \frac{d}{dx} \mbox{exp}(x) | = \log | \mbox{exp}(x) | = x$
+\form#169:$f$
+\form#170:$f^{-1}(x) = \log(x)$
+\form#171:$f(x) = \mbox{logit}^{-1}(x) = \frac{1}{1 + \exp(x)}$
+\form#172:$\log | \frac{d}{dx} \mbox{logit}^{-1}(x) |$
+\form#173:$\log ((\mbox{logit}^{-1}(x)) (1 - \mbox{logit}^{-1}(x))$
+\form#174:$\log (\mbox{logit}^{-1}(x)) + \log (1 - \mbox{logit}^{-1}(x))$
+\form#175:$f^{-1}(y) = \mbox{logit}(y) = \frac{1 - y}{y}$
+\form#176:\[ \mbox{rising\_factorial}(x, n) = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ x^{(n)} & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#177:\[ \frac{\partial\, \mbox{rising\_factorial}(x, n)}{\partial x} = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ \frac{\partial\, x^{(n)}}{\partial x} & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#178:\[ \frac{\partial\, \mbox{rising\_factorial}(x, n)}{\partial n} = \begin{cases} \textrm{error} & \mbox{if } x \leq 0\\ \frac{\partial\, x^{(n)}}{\partial n} & \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]
+\form#179:\[ x^{(n)}=\frac{\Gamma(x+n)}{\Gamma(x)} \]
+\form#180:\[ \frac{\partial \, x^{(n)}}{\partial x} = x^{(n)}(\Psi(x+n)-\Psi(x)) \]
+\form#181:\[ \frac{\partial \, x^{(n)}}{\partial n} = (x)_n\Psi(x+n) \]
+\form#182:$\mbox{square}(x) = x^2$
+\form#183:\[ \mbox{step}(x) = \begin{cases} 0 & \mbox{if } x \leq 0 \\ 1 & \mbox{if } x > 0 \\[6pt] 0 & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#184:\[ \mbox{trigamma}(x) = \begin{cases} \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \Psi_1(x) & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#185:\[ \frac{\partial\, \mbox{trigamma}(x)}{\partial x} = \begin{cases} \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \frac{\partial\, \Psi_1(x)}{\partial x} & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#186:\[ \Psi_1(x)=\sum_{n=0}^\infty \frac{1}{(x+n)^2} \]
+\form#187:\[ \frac{\partial \, \Psi_1(x)}{\partial x} = -2\sum_{n=0}^\infty \frac{1}{(x+n)^3} \]
+\form#188:$f(x) = U - \exp(x)$
+\form#189:$ \log | \frac{d}{dx} -\mbox{exp}(x) + U | = \log | -\mbox{exp}(x) + 0 | = x$
+\form#190:$f^{-1}(y) = \log -(y - U)$
+\form#191:$\frac{1}{\pi}\arctan\left(\frac{y-\mu}{\sigma}\right) + \frac{1}{2}$
+\form#192:\begin{eqnarray*} y &\sim& \chi^2_\nu \\ \log (p (y \, |\, \nu)) &=& \log \left( \frac{2^{-\nu / 2}}{\Gamma (\nu / 2)} y^{\nu / 2 - 1} \exp^{- y / 2} \right) \\ &=& - \frac{\nu}{2} \log(2) - \log (\Gamma (\nu / 2)) + (\frac{\nu}{2} - 1) \log(y) - \frac{y}{2} \\ & & \mathrm{ where } \; y \ge 0 \end{eqnarray*}
+\form#193:$ f(y|\mu, \sigma) = \begin{cases} \ \frac{1}{2} \exp\left(\frac{y-\mu}{\sigma}\right), \mbox{if } y < \mu \\ 1 - \frac{1}{2} \exp\left(-\frac{y-\mu}{\sigma}\right), \mbox{if } y \ge \mu \ \end{cases}$
+\form#194:\begin{eqnarray*} y &\sim& \mbox{\sf{Expon}}(\beta) \\ \log (p (y \, |\, \beta) ) &=& \log \left( \beta \exp^{-\beta y} \right) \\ &=& \log (\beta) - \beta y \\ & & \mathrm{where} \; y > 0 \end{eqnarray*}
+\form#195:\begin{eqnarray*} y &\sim& \mbox{\sf{Gamma}}(\alpha, \beta) \\ \log (p (y \, |\, \alpha, \beta) ) &=& \log \left( \frac{\beta^\alpha}{\Gamma(\alpha)} y^{\alpha - 1} \exp^{- \beta y} \right) \\ &=& \alpha \log(\beta) - \log(\Gamma(\alpha)) + (\alpha - 1) \log(y) - \beta y\\ & & \mathrm{where} \; y > 0 \end{eqnarray*}
+\form#196:\begin{eqnarray*} y &\sim& \mbox{\sf{Inv-}}\chi^2_\nu \\ \log (p (y \, |\, \nu)) &=& \log \left( \frac{2^{-\nu / 2}}{\Gamma (\nu / 2)} y^{- (\nu / 2 + 1)} \exp^{-1 / (2y)} \right) \\ &=& - \frac{\nu}{2} \log(2) - \log (\Gamma (\nu / 2)) - (\frac{\nu}{2} + 1) \log(y) - \frac{1}{2y} \\ & & \mathrm{ where } \; y > 0 \end{eqnarray*}
+\form#197:$\Phi(x) = \frac{1}{\sqrt{2 \pi}} \int_{-\inf}^x e^{-t^2/2} dt$
+\form#198:\begin{eqnarray*} y &\sim& \mbox{\sf{Inv-}}\chi^2(\nu, s^2) \\ \log (p (y \, |\, \nu, s)) &=& \log \left( \frac{(\nu / 2)^{\nu / 2}}{\Gamma (\nu / 2)} s^\nu y^{- (\nu / 2 + 1)} \exp^{-\nu s^2 / (2y)} \right) \\ &=& \frac{\nu}{2} \log(\frac{\nu}{2}) - \log (\Gamma (\nu / 2)) + \nu \log(s) - (\frac{\nu}{2} + 1) \log(y) - \frac{\nu s^2}{2y} \\ & & \mathrm{ where } \; y > 0 \end{eqnarray*}
+\form#199:\begin{eqnarray*} y &\sim& t_{\nu} (\mu, \sigma^2) \\ \log (p (y \, |\, \nu, \mu, \sigma) ) &=& \log \left( \frac{\Gamma((\nu + 1) /2)} {\Gamma(\nu/2)\sqrt{\nu \pi} \sigma} \left( 1 + \frac{1}{\nu} (\frac{y - \mu}{\sigma})^2 \right)^{-(\nu + 1)/2} \right) \\ &=& \log( \Gamma( (\nu+1)/2 )) - \log (\Gamma (\nu/2) - \frac{1}{2} \log(\nu \pi) - \log(\sigma) -\frac{\nu + 1}{2} \log (1 + \frac{1}{\nu} (\frac{y - \mu}{\sigma})^2) \end{eqnarray*}
+\form#200:\begin{eqnarray*} y &\sim& \mbox{\sf{U}}(\alpha, \beta) \\ \log (p (y \, |\, \alpha, \beta)) &=& \log \left( \frac{1}{\beta-\alpha} \right) \\ &=& \log (1) - \log (\beta - \alpha) \\ &=& -\log (\beta - \alpha) \\ & & \mathrm{ where } \; y \in [\alpha, \beta], \log(0) \; \mathrm{otherwise} \end{eqnarray*}
+\form#201:$y$
+\form#202:$\alpha$
+\form#203:$\tau$
+\form#204:$\beta$
+\form#205:$\delta$
+\form#206:$ \frac{d x_n}{dt} $
+\form#207:\[ \frac{d x_{N+m}}{dt} = \frac{d}{dt} \frac{\partial x_1}{\partial \theta_m} \]
+\form#208:\[ \frac{d x_{N+n}}{dt} = \frac{d}{dt} \frac{\partial x_1}{\partial y0_n} \]
+\form#209:\[ \frac{d x_{N + n}}{dt} = \frac{d}{dt} \frac{\partial x_1}{\partial y0_n} \]
+\form#210:\[ \frac{d x_{N+N+m}}{dt} = \frac{d}{dt} \frac{\partial x_1}{\partial \theta_m} \]
+\form#211:$\frac{\partial}{\partial x} (x+y) = 1$
+\form#212:$\frac{\partial}{\partial y} (x+y) = 1$
+\form#213:\[ \mbox{operator+}(x, y) = \begin{cases} x+y & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#214:\[ \frac{\partial\, \mbox{operator+}(x, y)}{\partial x} = \begin{cases} 1 & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#215:\[ \frac{\partial\, \mbox{operator+}(x, y)}{\partial y} = \begin{cases} 1 & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#216:$\frac{d}{dx} (x + c) = 1$
+\form#217:$\frac{d}{dy} (c + y) = 1$
+\form#218:$\frac{\partial}{\partial x} (x/y) = 1/y$
+\form#219:$\frac{\partial}{\partial y} (x/y) = -x / y^2$
+\form#220:\[ \mbox{operator/}(x, y) = \begin{cases} \frac{x}{y} & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#221:\[ \frac{\partial\, \mbox{operator/}(x, y)}{\partial x} = \begin{cases} \frac{1}{y} & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#222:\[ \frac{\partial\, \mbox{operator/}(x, y)}{\partial y} = \begin{cases} -\frac{x}{y^2} & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#223:$\frac{\partial}{\partial x} (x/c) = 1/c$
+\form#224:$\frac{d}{d y} (c/y) = -c / y^2$
+\form#225:\[ \mbox{operator==}(x, y) = \begin{cases} 0 & \mbox{if } x \neq y\\ 1 & \mbox{if } x = y \\[6pt] 0 & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#226:\[ \mbox{operator\textgreater}(x, y) = \begin{cases} 0 & \mbox{if } x \leq y\\ 1 & \mbox{if } x > y \\[6pt] 0 & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#227:\[ \mbox{operator\textgreater=}(x, y) = \begin{cases} 0 & \mbox{if } x < y\\ 1 & \mbox{if } x \geq y \\[6pt] 0 & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#228:\[ \mbox{operator\textless}(x, y) = \begin{cases} 0 & \mbox{if } x \geq y \\ 1 & \mbox{if } x < y \\[6pt] 0 & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#229:\[ \mbox{operator\textless=}(x, y) = \begin{cases} 0 & \mbox{if } x > y\\ 1 & \mbox{if } x \leq y \\[6pt] 0 & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#230:$\frac{\partial}{\partial x} (x * y) = y$
+\form#231:$\frac{\partial}{\partial y} (x * y) = x$
+\form#232:\[ \mbox{operator*}(x, y) = \begin{cases} xy & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#233:\[ \frac{\partial\, \mbox{operator*}(x, y)}{\partial x} = \begin{cases} y & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#234:\[ \frac{\partial\, \mbox{operator*}(x, y)}{\partial y} = \begin{cases} x & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#235:$\frac{\partial}{\partial x} (x * c) = c$
+\form#236:$\frac{\partial}{\partial y} (c * y) = c$
+\form#237:\[ \mbox{operator!=}(x, y) = \begin{cases} 0 & \mbox{if } x = y\\ 1 & \mbox{if } x \neq y \\[6pt] 0 & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#238:$\frac{\partial}{\partial x} (x-y) = 1$
+\form#239:$\frac{\partial}{\partial y} (x-y) = -1$
+\form#240:\[ \mbox{operator-}(x, y) = \begin{cases} x-y & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#241:\[ \frac{\partial\, \mbox{operator-}(x, y)}{\partial x} = \begin{cases} 1 & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#242:\[ \frac{\partial\, \mbox{operator-}(x, y)}{\partial y} = \begin{cases} -1 & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#243:$\frac{\partial}{\partial x} (x-c) = 1$
+\form#244:$\frac{\partial}{\partial y} (c-y) = -1$
+\form#245:$\frac{d}{dx} -x = -1$
+\form#246:\[ \mbox{operator-}(x) = \begin{cases} -x & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#247:\[ \frac{\partial\, \mbox{operator-}(x)}{\partial x} = \begin{cases} -1 & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#248:\[ \mbox{operator!}(x) = \begin{cases} 0 & \mbox{if } x \neq 0 \\ 1 & \mbox{if } x = 0 \\[6pt] 0 & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#249:$\frac{d}{dx} +x = \frac{d}{dx} x = 1$
+\form#250:\[ \mbox{operator+}(x) = \begin{cases} x & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#251:\[ \frac{\partial\, \mbox{operator+}(x)}{\partial x} = \begin{cases} 1 & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#252:\[ \mbox{abs}(x) = \begin{cases} |x| & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#253:\[ \frac{\partial\, \mbox{abs}(x)}{\partial x} = \begin{cases} -1 & \mbox{if } x < 0 \\ 0 & \mbox{if } x = 0 \\ 1 & \mbox{if } x > 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#254:$\frac{d}{dx} \arccos x = \frac{-1}{\sqrt{1 - x^2}}$
+\form#255:\[ \mbox{acos}(x) = \begin{cases} \textrm{NaN} & \mbox{if } x < -1\\ \arccos(x) & \mbox{if } -1\leq x\leq 1 \\ \textrm{NaN} & \mbox{if } x > 1\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#256:\[ \frac{\partial\, \mbox{acos}(x)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x < -1\\ \frac{\partial\, \arccos(x)}{\partial x} & \mbox{if } -1\leq x\leq 1 \\ \textrm{NaN} & \mbox{if } x < -1\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#257:\[ \frac{\partial \, \arccos(x)}{\partial x} = -\frac{1}{\sqrt{1-x^2}} \]
+\form#258:$\frac{d}{dx} \mbox{acosh}(x) = \frac{x}{x^2 - 1}$
+\form#259:\[ \mbox{acosh}(x) = \begin{cases} \textrm{NaN} & \mbox{if } x < 1 \\ \cosh^{-1}(x) & \mbox{if } x \geq 1 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#260:\[ \frac{\partial\, \mbox{acosh}(x)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x < 1 \\ \frac{\partial\, \cosh^{-1}(x)}{\partial x} & \mbox{if } x \geq 1 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#261:\[ \cosh^{-1}(x)=\ln\left(x+\sqrt{x^2-1}\right) \]
+\form#262:\[ \frac{\partial \, \cosh^{-1}(x)}{\partial x} = \frac{1}{\sqrt{x^2-1}} \]
+\form#263:$\frac{d}{dx} \arcsin x = \frac{1}{\sqrt{1 - x^2}}$
+\form#264:\[ \mbox{asin}(x) = \begin{cases} \textrm{NaN} & \mbox{if } x < -1\\ \arcsin(x) & \mbox{if } -1\leq x\leq 1 \\ \textrm{NaN} & \mbox{if } x > 1\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#265:\[ \frac{\partial\, \mbox{asin}(x)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x < -1\\ \frac{\partial\, \arcsin(x)}{\partial x} & \mbox{if } -1\leq x\leq 1 \\ \textrm{NaN} & \mbox{if } x < -1\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#266:\[ \frac{\partial \, \arcsin(x)}{\partial x} = \frac{1}{\sqrt{1-x^2}} \]
+\form#267:$\frac{d}{dx} \mbox{asinh}(x) = \frac{x}{x^2 + 1}$
+\form#268:\[ \mbox{asinh}(x) = \begin{cases} \sinh^{-1}(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#269:\[ \frac{\partial\, \mbox{asinh}(x)}{\partial x} = \begin{cases} \frac{\partial\, \sinh^{-1}(x)}{\partial x} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#270:\[ \sinh^{-1}(x)=\ln\left(x+\sqrt{x^2+1}\right) \]
+\form#271:\[ \frac{\partial \, \sinh^{-1}(x)}{\partial x} = \frac{1}{\sqrt{x^2+1}} \]
+\form#272:$\frac{d}{dx} \arctan x = \frac{1}{1 + x^2}$
+\form#273:\[ \mbox{atan}(x) = \begin{cases} \arctan(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#274:\[ \frac{\partial\, \mbox{atan}(x)}{\partial x} = \begin{cases} \frac{\partial\, \arctan(x)}{\partial x} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#275:\[ \frac{\partial \, \arctan(x)}{\partial x} = \frac{1}{x^2+1} \]
+\form#276:$ \frac{\partial}{\partial x} \arctan \frac{x}{y} = \frac{y}{x^2 + y^2}$
+\form#277:$ \frac{\partial}{\partial y} \arctan \frac{x}{y} = \frac{-x}{x^2 + y^2}$
+\form#278:$ \frac{d}{d x} \arctan \frac{x}{c} = \frac{c}{x^2 + c^2}$
+\form#279:$ \frac{\partial}{\partial y} \arctan \frac{c}{y} = \frac{-c}{c^2 + y^2}$
+\form#280:\[ \mbox{atan2}(x, y) = \begin{cases} \arctan\left(\frac{x}{y}\right) & \mbox{if } -\infty\leq x \leq \infty, -\infty\leq y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#281:\[ \frac{\partial\, \mbox{atan2}(x, y)}{\partial x} = \begin{cases} \frac{y}{x^2+y^2} & \mbox{if } -\infty\leq x\leq \infty, -\infty\leq y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#282:\[ \frac{\partial\, \mbox{atan2}(x, y)}{\partial y} = \begin{cases} -\frac{x}{x^2+y^2} & \mbox{if } -\infty\leq x\leq \infty, -\infty\leq y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#283:$\frac{d}{dx} \mbox{atanh}(x) = \frac{1}{1 - x^2}$
+\form#284:\[ \mbox{atanh}(x) = \begin{cases} \textrm{NaN} & \mbox{if } x < -1\\ \tanh^{-1}(x) & \mbox{if } -1\leq x \leq 1 \\ \textrm{NaN} & \mbox{if } x > 1\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#285:\[ \frac{\partial\, \mbox{atanh}(x)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x < -1\\ \frac{\partial\, \tanh^{-1}(x)}{\partial x} & \mbox{if } -1\leq x\leq 1 \\ \textrm{NaN} & \mbox{if } x > 1\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#286:\[ \tanh^{-1}(x)=\frac{1}{2}\ln\left(\frac{1+x}{1-x}\right) \]
+\form#287:\[ \frac{\partial \, \tanh^{-1}(x)}{\partial x} = \frac{1}{1-x^2} \]
+\form#288:$\hat{y}$
+\form#289:$\frac{d}{d\hat{y}} \mbox{logloss}(1, \hat{y}) = - \frac{1}{\hat{y}}$
+\form#290:$\frac{d}{d\hat{y}} \mbox{logloss}(0, \hat{y}) = \frac{1}{1 - \hat{y}}$
+\form#291:\[ \mbox{binary\_log\_loss}(y, \hat{y}) = \begin{cases} y \log \hat{y} + (1 - y) \log (1 - \hat{y}) & \mbox{if } 0\leq \hat{y}\leq 1, y\in\{ 0, 1 \}\\[6pt] \textrm{NaN} & \mbox{if } \hat{y} = \textrm{NaN} \end{cases} \]
+\form#292:\[ \frac{\partial\, \mbox{binary\_log\_loss}(y, \hat{y})}{\partial \hat{y}} = \begin{cases} \frac{y}{\hat{y}}-\frac{1-y}{1-\hat{y}} & \mbox{if } 0\leq \hat{y}\leq 1, y\in\{ 0, 1 \}\\[6pt] \textrm{NaN} & \mbox{if } \hat{y} = \textrm{NaN} \end{cases} \]
+\form#293:$\frac{d}{dx} x^{1/3} = \frac{1}{3 x^{2/3}}$
+\form#294:\[ \mbox{cbrt}(x) = \begin{cases} \sqrt[3]{x} & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#295:\[ \frac{\partial\, \mbox{cbrt}(x)}{\partial x} = \begin{cases} \frac{1}{3x^{2/3}} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#296:$\frac{d}{dx} {\lceil x \rceil} = 0$
+\form#297:\[ \mbox{ceil}(x) = \begin{cases} \lceil x\rceil & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#298:\[ \frac{\partial\, \mbox{ceil}(x)}{\partial x} = \begin{cases} 0 & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#299:$\frac{d}{dx} \cos x = - \sin x$
+\form#300:\[ \mbox{cos}(x) = \begin{cases} \cos(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#301:\[ \frac{\partial\, \mbox{cos}(x)}{\partial x} = \begin{cases} -\sin(x) & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#302:$\frac{d}{dx} \cosh x = \sinh x$
+\form#303:\[ \mbox{cosh}(x) = \begin{cases} \cosh(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#304:\[ \frac{\partial\, \mbox{cosh}(x)}{\partial x} = \begin{cases} \sinh(x) & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#305:$\frac{d}{dx} \mbox{erf}(x) = \frac{2}{\sqrt{\pi}} \exp(-x^2)$
+\form#306:\[ \mbox{erf}(x) = \begin{cases} \operatorname{erf}(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#307:\[ \frac{\partial\, \mbox{erf}(x)}{\partial x} = \begin{cases} \frac{\partial\, \operatorname{erf}(x)}{\partial x} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#308:\[ \operatorname{erf}(x)=\frac{2}{\sqrt{\pi}}\int_0^x e^{-t^2}dt \]
+\form#309:\[ \frac{\partial \, \operatorname{erf}(x)}{\partial x} = \frac{2}{\sqrt{\pi}} e^{-x^2} \]
+\form#310:$\frac{d}{dx} \mbox{erfc}(x) = - \frac{2}{\sqrt{\pi}} \exp(-x^2)$
+\form#311:\[ \mbox{erfc}(x) = \begin{cases} \operatorname{erfc}(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#312:\[ \frac{\partial\, \mbox{erfc}(x)}{\partial x} = \begin{cases} \frac{\partial\, \operatorname{erfc}(x)}{\partial x} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#313:\[ \operatorname{erfc}(x)=\frac{2}{\sqrt{\pi}}\int_x^\infty e^{-t^2}dt \]
+\form#314:\[ \frac{\partial \, \operatorname{erfc}(x)}{\partial x} = -\frac{2}{\sqrt{\pi}} e^{-x^2} \]
+\form#315:\[ \mbox{exp}(x) = \begin{cases} e^x & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#316:\[ \frac{\partial\, \mbox{exp}(x)}{\partial x} = \begin{cases} e^x & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#317:$\frac{d}{dx} 2^x = (\log 2) 2^x$
+\form#318:\[ \mbox{exp2}(x) = \begin{cases} 2^x & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#319:\[ \frac{\partial\, \mbox{exp2}(x)}{\partial x} = \begin{cases} 2^x\ln2 & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#320:$\frac{d}{dx} \exp(a) - 1 = \exp(a)$
+\form#321:\[ \mbox{expm1}(x) = \begin{cases} e^x-1 & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#322:\[ \frac{\partial\, \mbox{expm1}(x)}{\partial x} = \begin{cases} e^x & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#323:$\frac{d}{dx}|x| = \mbox{sgn}(x)$
+\form#324:$\mbox{sgn}(x)$
+\form#325:$x < 0$
+\form#326:$x == 0$
+\form#327:$x == 1$
+\form#328:\[ \mbox{fabs}(x) = \begin{cases} |x| & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#329:\[ \frac{\partial\, \mbox{fabs}(x)}{\partial x} = \begin{cases} -1 & \mbox{if } x < 0 \\ 0 & \mbox{if } x = 0 \\ 1 & \mbox{if } x > 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#330:$\frac{\partial}{\partial x} \mbox{fdim}(x, y) = 0.0$
+\form#331:$x < y$
+\form#332:$\frac{\partial}{\partial x} \mbox{fdim}(x, y) = 1.0$
+\form#333:$x \geq y$
+\form#334:$\frac{\partial}{\partial y} \mbox{fdim}(x, y) = 0.0$
+\form#335:$\frac{\partial}{\partial y} \mbox{fdim}(x, y) = -\lfloor\frac{x}{y}\rfloor$
+\form#336:\[ \mbox{fdim}(x, y) = \begin{cases} 0 & \mbox{if } x < y\\ x-y & \mbox{if } x \geq y \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#337:\[ \frac{\partial\, \mbox{fdim}(x, y)}{\partial x} = \begin{cases} 0 & \mbox{if } x < y \\ 1 & \mbox{if } x \geq y \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#338:\[ \frac{\partial\, \mbox{fdim}(x, y)}{\partial y} = \begin{cases} 0 & \mbox{if } x < y \\ -\lfloor\frac{x}{y}\rfloor & \mbox{if } x \geq y \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#339:$\frac{d}{d y} \mbox{fdim}(c, y) = 0.0$
+\form#340:$c < y$
+\form#341:$\frac{d}{d y} \mbox{fdim}(c, y) = -\lfloor\frac{c}{y}\rfloor$
+\form#342:$c \geq y$
+\form#343:$\frac{d}{d x} \mbox{fdim}(x, c) = 0.0$
+\form#344:$x < c$
+\form#345:$\frac{d}{d x} \mbox{fdim}(x, c) = 1.0$
+\form#346:$x \geq yc$
+\form#347:$\frac{d}{dx} {\lfloor x \rfloor} = 0$
+\form#348:\[ \mbox{floor}(x) = \begin{cases} \lfloor x \rfloor & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#349:\[ \frac{\partial\, \mbox{floor}(x)}{\partial x} = \begin{cases} 0 & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#350:$\frac{\partial}{\partial x} (x * y) + z = y$
+\form#351:$\frac{\partial}{\partial y} (x * y) + z = x$
+\form#352:$\frac{\partial}{\partial z} (x * y) + z = 1$
+\form#353:$\frac{\partial}{\partial x} (x * y) + c = y$
+\form#354:$\frac{\partial}{\partial y} (x * y) + c = x$
+\form#355:$\frac{\partial}{\partial x} (x * c) + z = c$
+\form#356:$\frac{\partial}{\partial z} (x * c) + z = 1$
+\form#357:$\frac{d}{d x} (x * c) + d = c$
+\form#358:$\frac{d}{d y} (c * y) + d = c$
+\form#359:$\frac{\partial}{\partial z} (c * d) + z = 1$
+\form#360:$\frac{\partial}{\partial y} (c * y) + z = c$
+\form#361:$\frac{\partial}{\partial z} (c * y) + z = 1$
+\form#362:\[ \mbox{fmax}(x, y) = \begin{cases} x & \mbox{if } x \geq y \\ y & \mbox{if } x < y \\[6pt] x & \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ y & \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} & \mbox{if } x, y = \textrm{NaN} \end{cases} \]
+\form#363:\[ \frac{\partial\, \mbox{fmax}(x, y)}{\partial x} = \begin{cases} 1 & \mbox{if } x \geq y \\ 0 & \mbox{if } x < y \\[6pt] 1 & \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ 0 & \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} & \mbox{if } x, y = \textrm{NaN} \end{cases} \]
+\form#364:\[ \frac{\partial\, \mbox{fmax}(x, y)}{\partial y} = \begin{cases} 0 & \mbox{if } x \geq y \\ 1 & \mbox{if } x < y \\[6pt] 0 & \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ 1 & \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} & \mbox{if } x, y = \textrm{NaN} \end{cases} \]
+\form#365:\[ \mbox{fmin}(x, y) = \begin{cases} x & \mbox{if } x \leq y \\ y & \mbox{if } x > y \\[6pt] x & \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ y & \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} & \mbox{if } x, y = \textrm{NaN} \end{cases} \]
+\form#366:\[ \frac{\partial\, \mbox{fmin}(x, y)}{\partial x} = \begin{cases} 1 & \mbox{if } x \leq y \\ 0 & \mbox{if } x > y \\[6pt] 1 & \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ 0 & \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} & \mbox{if } x, y = \textrm{NaN} \end{cases} \]
+\form#367:\[ \frac{\partial\, \mbox{fmin}(x, y)}{\partial y} = \begin{cases} 0 & \mbox{if } x \leq y \\ 1 & \mbox{if } x > y \\[6pt] 0 & \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ 1 & \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} & \mbox{if } x, y = \textrm{NaN} \end{cases} \]
+\form#368:$x = y$
+\form#369:$\frac{\partial}{\partial x} \mbox{fmod}(x, y) = 1$
+\form#370:$\frac{\partial}{\partial y} \mbox{fmod}(x, y) = -\lfloor \frac{x}{y} \rfloor$
+\form#371:\[ \mbox{fmod}(x, y) = \begin{cases} x - \lfloor \frac{x}{y}\rfloor y & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#372:\[ \frac{\partial\, \mbox{fmod}(x, y)}{\partial x} = \begin{cases} 1 & \mbox{if } -\infty\leq x, y\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#373:\[ \frac{\partial\, \mbox{fmod}(x, y)}{\partial y} = \begin{cases} -\lfloor \frac{x}{y}\rfloor & \mbox{if } -\infty\leq x, y\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#374:$\frac{d}{d x} \mbox{fmod}(x, c) = \frac{1}{c}$
+\form#375:$\frac{d}{d y} \mbox{fmod}(c, y) = -\lfloor \frac{c}{y} \rfloor$
+\form#376:$\frac{\partial}{\partial x} \sqrt{x^2 + y^2} = \frac{x}{\sqrt{x^2 + y^2}}$
+\form#377:$\frac{\partial}{\partial y} \sqrt{x^2 + y^2} = \frac{y}{\sqrt{x^2 + y^2}}$
+\form#378:$\frac{d}{d x} \sqrt{x^2 + c^2} = \frac{x}{\sqrt{x^2 + c^2}}$
+\form#379:$\frac{d}{d y} \sqrt{c^2 + y^2} = \frac{y}{\sqrt{c^2 + y^2}}$
+\form#380:\[ \mbox{hypot}(x, y) = \begin{cases} \textrm{NaN} & \mbox{if } x < 0 \text{ or } y < 0 \\ \sqrt{x^2+y^2} & \mbox{if } x, y\geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#381:\[ \frac{\partial\, \mbox{hypot}(x, y)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x < 0 \text{ or } y < 0 \\ \frac{x}{\sqrt{x^2+y^2}} & \mbox{if } x, y\geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#382:\[ \frac{\partial\, \mbox{hypot}(x, y)}{\partial y} = \begin{cases} \textrm{NaN} & \mbox{if } x < 0 \text{ or } y < 0 \\ \frac{y}{\sqrt{x^2+y^2}} & \mbox{if } x, y\geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#383:\[ \mbox{inv}(x) = \begin{cases} \frac{1}{x} & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#384:\[ \frac{\partial\, \mbox{inv}(x)}{\partial x} = \begin{cases} -\frac{1}{x^2} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#385:$\frac{d}{dx} \mbox{cloglog}^{-1}(x) = \exp (x - \exp (x))$
+\form#386:$\frac{d}{dx} \mbox{logit}^{-1}(x) = \mbox{logit}^{-1}(x) (1 - \mbox{logit}^{-1}(x))$
+\form#387:\[ \mbox{inv\_sqrt}(x) = \begin{cases} \frac{1}{\sqrt{x}} & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#388:\[ \frac{\partial\, \mbox{inv\_sqrt}(x)}{\partial x} = \begin{cases} -\frac{1}{2\sqrt{x^3}} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#389:\[ \mbox{inv\_square}(x) = \begin{cases} \frac{1}{x^2} & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#390:\[ \frac{\partial\, \mbox{inv\_square}(x)}{\partial x} = \begin{cases} -\frac{2}{x^3} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#391:$\frac{d}{dx} \Gamma(x) = \psi^{(0)}(x)$
+\form#392:$\frac{d}{dx} \log x = \frac{1}{x}$
+\form#393:\[ \mbox{log}(x) = \begin{cases} \textrm{NaN} & \mbox{if } x < 0\\ \ln(x) & \mbox{if } x \geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#394:\[ \frac{\partial\, \mbox{log}(x)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x < 0\\ \frac{1}{x} & \mbox{if } x\geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#395:$\frac{d}{dx} \log_{10} x = \frac{1}{x \log 10}$
+\form#396:\[ \mbox{log10}(x) = \begin{cases} \textrm{NaN} & \mbox{if } x < 0\\ \log_{10}(x) & \mbox{if } x \geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#397:\[ \frac{\partial\, \mbox{log10}(x)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x < 0\\ \frac{1}{x \ln10} & \mbox{if } x\geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#398:$\frac{d}{dx} \log (1 - x) = -\frac{1}{1 - x}$
+\form#399:$\frac{d}{dx} \log (1 + x) = \frac{1}{1 + x}$
+\form#400:$\frac{d}{dx} \log_2 x = \frac{1}{x \log 2}$
+\form#401:\[ \mbox{log2}(x) = \begin{cases} \textrm{NaN} & \mbox{if } x < 0 \\ \log_2(x) & \mbox{if } x\geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#402:\[ \frac{\partial\, \mbox{log2}(x)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x < 0 \\ \frac{1}{x\ln2} & \mbox{if } x\geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#403:$\frac{d}{dx} \Phi(x) = \mbox{\sf Norm}(x|0, 1) = \frac{1}{\sqrt{2\pi}} \exp(-\frac{1}{2} x^2)$
+\form#404:\[ \mbox{Phi}(x) = \begin{cases} 0 & \mbox{if } x < -37.5 \\ \Phi(x) & \mbox{if } -37.5 \leq x \leq 8.25 \\ 1 & \mbox{if } x > 8.25 \\[6pt] \textrm{error} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#405:\[ \frac{\partial\, \mbox{Phi}(x)}{\partial x} = \begin{cases} 0 & \mbox{if } x < -27.5 \\ \frac{\partial\, \Phi(x)}{\partial x} & \mbox{if } -27.5 \leq x \leq 27.5 \\ 0 & \mbox{if } x > 27.5 \\[6pt] \textrm{error} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#406:\[ \Phi(x) = \frac{1}{\sqrt{2\pi}} \int_{0}^{x} e^{-t^2/2} dt \]
+\form#407:\[ \frac{\partial \, \Phi(x)}{\partial x} = \frac{e^{-x^2/2}}{\sqrt{2\pi}} \]
+\form#408:\[ \mbox{Phi\_approx}(x) = \begin{cases} \Phi_{\mbox{\footnotesize approx}}(x) & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#409:\[ \frac{\partial\, \mbox{Phi\_approx}(x)}{\partial x} = \begin{cases} \frac{\partial\, \Phi_{\mbox{\footnotesize approx}}(x)}{\partial x} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#410:\[ \Phi_{\mbox{\footnotesize approx}}(x) = \mbox{logit}^{-1}(0.07056 \, x^3 + 1.5976 \, x) \]
+\form#411:\[ \frac{\partial \, \Phi_{\mbox{\footnotesize approx}}(x)}{\partial x} = -\Phi_{\mbox{\footnotesize approx}}^2(x) e^{-0.07056x^3 - 1.5976x}(-0.21168x^2-1.5976) \]
+\form#412:$\frac{\partial}{\partial x} \mbox{pow}(x, y) = y x^{y-1}$
+\form#413:$\frac{\partial}{\partial y} \mbox{pow}(x, y) = x^y \ \log x$
+\form#414:\[ \mbox{pow}(x, y) = \begin{cases} x^y & \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#415:\[ \frac{\partial\, \mbox{pow}(x, y)}{\partial x} = \begin{cases} yx^{y-1} & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#416:\[ \frac{\partial\, \mbox{pow}(x, y)}{\partial y} = \begin{cases} x^y\ln x & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]
+\form#417:$\frac{d}{dx} \mbox{pow}(x, c) = c x^{c-1}$
+\form#418:$\frac{d}{d y} \mbox{pow}(c, y) = c^y \log c $
+\form#419:$\frac{d}{dx} \mbox{round}(x) = 0$
+\form#420:\[ \mbox{round}(x) = \begin{cases} \lceil x \rceil & \mbox{if } x-\lfloor x\rfloor \geq 0.5 \\ \lfloor x \rfloor & \mbox{if } x-\lfloor x\rfloor < 0.5 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#421:\[ \frac{\partial\, \mbox{round}(x)}{\partial x} = \begin{cases} 0 & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#422:$\frac{d}{dx} \sin x = \cos x$
+\form#423:\[ \mbox{sin}(x) = \begin{cases} \sin(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#424:\[ \frac{\partial\, \mbox{sin}(x)}{\partial x} = \begin{cases} \cos(x) & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#425:$\frac{d}{dx} \sinh x = \cosh x$
+\form#426:\[ \mbox{sinh}(x) = \begin{cases} \sinh(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#427:\[ \frac{\partial\, \mbox{sinh}(x)}{\partial x} = \begin{cases} \cosh(x) & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#428:$\frac{d}{dx} \sqrt{x} = \frac{1}{2 \sqrt{x}}$
+\form#429:\[ \mbox{sqrt}(x) = \begin{cases} \textrm{NaN} & x < 0 \\ \sqrt{x} & \mbox{if } x\geq 0\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#430:\[ \frac{\partial\, \mbox{sqrt}(x)}{\partial x} = \begin{cases} \textrm{NaN} & x < 0 \\ \frac{1}{2\sqrt{x}} & x\geq 0\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#431:\[ \mbox{square}(x) = \begin{cases} x^2 & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#432:\[ \frac{\partial\, \mbox{square}(x)}{\partial x} = \begin{cases} 2x & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#433:$\mbox{step}(x) = 0$
+\form#434:$\frac{d}{dx} \tan x = \sec^2 x$
+\form#435:\[ \mbox{tan}(x) = \begin{cases} \tan(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#436:\[ \frac{\partial\, \mbox{tan}(x)}{\partial x} = \begin{cases} \sec^2(x) & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#437:$\frac{d}{dx} \tanh x = \frac{1}{\cosh^2 x}$
+\form#438:\[ \mbox{tanh}(x) = \begin{cases} \tanh(x) & \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#439:\[ \frac{\partial\, \mbox{tanh}(x)}{\partial x} = \begin{cases} \mbox{sech}^2(x) & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#440:$\frac{d}{dx} \Gamma(x) = \Gamma(x) \Psi^{(0)}(x)$
+\form#441:$\Psi^{(0)}(x)$
+\form#442:\[ \mbox{tgamma}(x) = \begin{cases} \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \Gamma(x) & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#443:\[ \frac{\partial\, \mbox{tgamma}(x)}{\partial x} = \begin{cases} \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \frac{\partial\, \Gamma(x)}{\partial x} & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#444:\[ \Gamma(x)=\int_0^{\infty} u^{x - 1} \exp(-u) \, du \]
+\form#445:\[ \frac{\partial \, \Gamma(x)}{\partial x} = \Gamma(x)\Psi(x) \]
+\form#446:$\frac{d}{dx} \mbox{trunc}(x) = 0$
+\form#447:\[ \mbox{trunc}(x) = \begin{cases} \lfloor x \rfloor & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
+\form#448:\[ \frac{\partial\, \mbox{trunc}(x)}{\partial x} = \begin{cases} 0 & \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]
diff --git a/doc/api/html/frechet__ccdf__log_8hpp.html b/doc/api/html/frechet__ccdf__log_8hpp.html
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+<div class="title">frechet_ccdf_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/weibull_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
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+Functions</h2></td></tr>
+<tr class="memitem:a34680a4c6abd1d998326e44a212aa6d8"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:a34680a4c6abd1d998326e44a212aa6d8"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34680a4c6abd1d998326e44a212aa6d8">stan::math::frechet_ccdf_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</td></tr>
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+  </span>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">frechet_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="frechet__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_FRECHET_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_FRECHET_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/weibull_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a34680a4c6abd1d998326e44a212aa6d8">   31</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a34680a4c6abd1d998326e44a212aa6d8">frechet_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::frechet_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        operands_and_partials(y, alpha, sigma);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma, alpha);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">const</span> T_partials_return pow_ = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(sigma_dbl / y_dbl, alpha_dbl);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> T_partials_return exp_ = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-pow_);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="comment">// ccdf_log</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        ccdf_log += <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(exp_);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv_ = pow_ / (1.0 / exp_ - 1);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= alpha_dbl / y_dbl * rep_deriv_;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y_dbl / sigma_dbl) * rep_deriv_;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
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+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(ccdf_log);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    }</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;  }</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;}</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34680a4c6abd1d998326e44a212aa6d8"><div class="ttname"><a href="namespacestan_1_1math.html#a34680a4c6abd1d998326e44a212aa6d8">stan::math::frechet_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_shape, T_scale &gt;::type frechet_ccdf_log(const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="frechet__ccdf__log_8hpp_source.html#l00031">frechet_ccdf_log.hpp:31</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">frechet_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/weibull_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="frechet__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a252058aec5645d61efd61e155b788be7"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:a252058aec5645d61efd61e155b788be7"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a252058aec5645d61efd61e155b788be7">stan::math::frechet_cdf</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a252058aec5645d61efd61e155b788be7"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">frechet_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="frechet__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_FRECHET_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_FRECHET_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/weibull_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a252058aec5645d61efd61e155b788be7">   31</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a252058aec5645d61efd61e155b788be7">frechet_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::frechet_cdf&quot;</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      T_partials_return cdf(1.0);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        operands_and_partials(y, alpha, sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma, alpha);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keyword">const</span> T_partials_return pow_ = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(sigma_dbl / y_dbl, alpha_dbl);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keyword">const</span> T_partials_return cdf_ = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-pow_);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="comment">// cdf</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        cdf *= cdf_;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += pow_ * alpha_dbl / y_dbl;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += pow_ * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y_dbl / sigma_dbl);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= pow_ * alpha_dbl / sigma_dbl;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      }</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] *= cdf;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); ++n)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] *= cdf;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      }</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma); ++n)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] *= cdf;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    }</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;  }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;}</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a252058aec5645d61efd61e155b788be7"><div class="ttname"><a href="namespacestan_1_1math.html#a252058aec5645d61efd61e155b788be7">stan::math::frechet_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_shape, T_scale &gt;::type frechet_cdf(const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="frechet__cdf_8hpp_source.html#l00031">frechet_cdf.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+<div class="textblock"><code>#include &lt;boost/random/weibull_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="frechet__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aad1ba53b1f236710eed4f8377dc06471"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:aad1ba53b1f236710eed4f8377dc06471"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aad1ba53b1f236710eed4f8377dc06471">stan::math::frechet_cdf_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</td></tr>
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+<div class="title">frechet_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="frechet__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_FRECHET_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_FRECHET_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/weibull_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::frechet_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        operands_and_partials(y, alpha, sigma);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma, alpha);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">const</span> T_partials_return pow_ = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(sigma_dbl / y_dbl, alpha_dbl);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="comment">// cdf_log</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        cdf_log -= pow_;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += pow_ * alpha_dbl / y_dbl;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += pow_ * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y_dbl / sigma_dbl);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= pow_ * alpha_dbl / sigma_dbl;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  }</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;}</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aad1ba53b1f236710eed4f8377dc06471"><div class="ttname"><a href="namespacestan_1_1math.html#aad1ba53b1f236710eed4f8377dc06471">stan::math::frechet_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_shape, T_scale &gt;::type frechet_cdf_log(const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="frechet__cdf__log_8hpp_source.html#l00031">frechet_cdf_log.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="title">frechet_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/weibull_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="frechet__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a17f910a5107250d4b47468fe1e7487cc"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:a17f910a5107250d4b47468fe1e7487cc"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a17f910a5107250d4b47468fe1e7487cc">stan::math::frechet_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a17f910a5107250d4b47468fe1e7487cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a63f05e7ee3898b2f48b4b2658dad51c5"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:a63f05e7ee3898b2f48b4b2658dad51c5"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a63f05e7ee3898b2f48b4b2658dad51c5">stan::math::frechet_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</td></tr>
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+<a href="frechet__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_FRECHET_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_FRECHET_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/weibull_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="comment">// Frechet(y|alpha, sigma)     [y &gt; 0;  alpha &gt; 0;  sigma &gt; 0]</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="comment">// FIXME: document</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a17f910a5107250d4b47468fe1e7487cc">   34</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a17f910a5107250d4b47468fe1e7487cc">frechet_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::frechet_log&quot;</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, sigma);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                    T_partials_return, T_shape&gt; log_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); i++)</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          log_alpha[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]));</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                    T_partials_return, T_y&gt; log_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); i++)</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          log_y[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]));</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_shape, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                    T_partials_return, T_scale&gt; log_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          log_sigma[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]));</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                    T_partials_return, T_y&gt; inv_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); i++)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          inv_y[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                    T_partials_return, T_y, T_shape, T_scale&gt;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        sigma_div_y_pow_alpha(N);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++)</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          sigma_div_y_pow_alpha[i] = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(inv_y[i] * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]),</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                                         alpha_dbl);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        }</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        operands_and_partials(y, alpha, sigma);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          logp += log_alpha[n];</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          logp -= (alpha_dbl+1.0)*log_y[n];</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          logp += alpha_dbl*log_sigma[n];</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          logp -= sigma_div_y_pow_alpha[n];</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;          <span class="keyword">const</span> T_partials_return inv_y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(inv_y[n]);</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;            += -(alpha_dbl+1.0) * inv_y_dbl</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;            + alpha_dbl * sigma_div_y_pow_alpha[n] * inv_y_dbl;</div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
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+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a17f910a5107250d4b47468fe1e7487cc"><div class="ttname"><a href="namespacestan_1_1math.html#a17f910a5107250d4b47468fe1e7487cc">stan::math::frechet_log</a></div><div class="ttdeci">return_type&lt; T_y, T_shape, T_scale &gt;::type frechet_log(const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="frechet__log_8hpp_source.html#l00034">frechet_log.hpp:34</a></div></div>
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+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/weibull_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="frechet__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a85bd113906fdeaf57e662a598ad99689"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a85bd113906fdeaf57e662a598ad99689"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a85bd113906fdeaf57e662a598ad99689">stan::math::frechet_rng</a> (const double alpha, const double sigma, RNG &amp;rng)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">frechet_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="frechet__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_FRECHET_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_FRECHET_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/random/weibull_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a85bd113906fdeaf57e662a598ad99689">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a85bd113906fdeaf57e662a598ad99689">frechet_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> alpha,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> sigma,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                RNG&amp; rng) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> boost::random::weibull_distribution;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::frechet_rng&quot;</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      variate_generator&lt;RNG&amp;, weibull_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <a class="code" href="namespacestan_1_1math.html#afd376b3fe82077f0565de1fbef6b4202">weibull_rng</a>(rng, weibull_distribution&lt;&gt;(alpha, 1.0/sigma));</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">return</span> 1.0 / <a class="code" href="namespacestan_1_1math.html#afd376b3fe82077f0565de1fbef6b4202">weibull_rng</a>();</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    }</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  }</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;}</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a85bd113906fdeaf57e662a598ad99689"><div class="ttname"><a href="namespacestan_1_1math.html#a85bd113906fdeaf57e662a598ad99689">stan::math::frechet_rng</a></div><div class="ttdeci">double frechet_rng(const double alpha, const double sigma, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="frechet__rng_8hpp_source.html#l00027">frechet_rng.hpp:27</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_afd376b3fe82077f0565de1fbef6b4202"><div class="ttname"><a href="namespacestan_1_1math.html#afd376b3fe82077f0565de1fbef6b4202">stan::math::weibull_rng</a></div><div class="ttdeci">double weibull_rng(const double alpha, const double sigma, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="weibull__rng_8hpp_source.html#l00023">weibull_rng.hpp:23</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
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diff --git a/doc/api/html/fun_8hpp.html b/doc/api/html/fun_8hpp.html
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li>  </ul>
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+  <div class="headertitle">
+<div class="title">fun.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2abs_8hpp_source.html">stan/math/prim/scal/fun/abs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2as__bool_8hpp_source.html">stan/math/prim/scal/fun/as_bool.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2bessel__first__kind_8hpp_source.html">stan/math/prim/scal/fun/bessel_first_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2bessel__second__kind_8hpp_source.html">stan/math/prim/scal/fun/bessel_second_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binary__log__loss_8hpp_source.html">stan/math/prim/scal/fun/binary_log_loss.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__constrain_8hpp_source.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__free_8hpp_source.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2divide_8hpp_source.html">stan/math/prim/scal/fun/divide.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2exp2_8hpp_source.html">stan/math/prim/scal/fun/exp2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_f32_8hpp_source.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2falling__factorial_8hpp_source.html">stan/math/prim/scal/fun/falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2fdim_8hpp_source.html">stan/math/prim/scal/fun/fdim.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__2_f1_8hpp_source.html">stan/math/prim/scal/fun/grad_2F1.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad___f32_8hpp_source.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2grad__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2ibeta_8hpp_source.html">stan/math/prim/scal/fun/ibeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__constrain_8hpp_source.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__free_8hpp_source.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2if__else_8hpp_source.html">stan/math/prim/scal/fun/if_else.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__dda_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_dda.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__ddb_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_ddb.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__ddz_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_ddz.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="int__step_8hpp_source.html">stan/math/prim/scal/fun/int_step.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv_8hpp_source.html">stan/math/prim/scal/fun/inv.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__cloglog_8hpp_source.html">stan/math/prim/scal/fun/inv_cloglog.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__sqrt_8hpp_source.html">stan/math/prim/scal/fun/inv_sqrt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__square_8hpp_source.html">stan/math/prim/scal/fun/inv_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inverse__softmax_8hpp_source.html">stan/math/prim/scal/fun/inverse_softmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2is__inf_8hpp_source.html">stan/math/prim/scal/fun/is_inf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2is__nan_8hpp_source.html">stan/math/prim/scal/fun/is_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2is__uninitialized_8hpp_source.html">stan/math/prim/scal/fun/is_uninitialized.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__constrain_8hpp_source.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__free_8hpp_source.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lmgamma_8hpp_source.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m__exp_8hpp_source.html">stan/math/prim/scal/fun/log1m_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log1m_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p__exp_8hpp_source.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log2_8hpp_source.html">stan/math/prim/scal/fun/log2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__diff__exp_8hpp_source.html">stan/math/prim/scal/fun/log_diff_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__falling__factorial_8hpp_source.html">stan/math/prim/scal/fun/log_falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__mix_8hpp_source.html">stan/math/prim/scal/fun/log_mix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__rising__factorial_8hpp_source.html">stan/math/prim/scal/fun/log_rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/scal/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__and_8hpp_source.html">stan/math/prim/scal/fun/logical_and.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__eq_8hpp_source.html">stan/math/prim/scal/fun/logical_eq.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__gt_8hpp_source.html">stan/math/prim/scal/fun/logical_gt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__gte_8hpp_source.html">stan/math/prim/scal/fun/logical_gte.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__lt_8hpp_source.html">stan/math/prim/scal/fun/logical_lt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__lte_8hpp_source.html">stan/math/prim/scal/fun/logical_lte.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__negation_8hpp_source.html">stan/math/prim/scal/fun/logical_negation.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__neq_8hpp_source.html">stan/math/prim/scal/fun/logical_neq.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__or_8hpp_source.html">stan/math/prim/scal/fun/logical_or.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2logit_8hpp_source.html">stan/math/prim/scal/fun/logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__constrain_8hpp_source.html">stan/math/prim/scal/fun/lub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__free_8hpp_source.html">stan/math/prim/scal/fun/lub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">stan/math/prim/scal/fun/modified_bessel_first_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html">stan/math/prim/scal/fun/modified_bessel_second_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="modulus_8hpp_source.html">stan/math/prim/scal/fun/modulus.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2owens__t_8hpp_source.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2_phi_8hpp_source.html">stan/math/prim/scal/fun/Phi.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2_phi__approx_8hpp_source.html">stan/math/prim/scal/fun/Phi_approx.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__constrain_8hpp_source.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__free_8hpp_source.html">stan/math/prim/scal/fun/positive_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2primitive__value_8hpp_source.html">stan/math/prim/scal/fun/primitive_value.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__constrain_8hpp_source.html">stan/math/prim/scal/fun/prob_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__free_8hpp_source.html">stan/math/prim/scal/fun/prob_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">stan/math/prim/scal/fun/promote_scalar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html">stan/math/prim/scal/fun/promote_scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2rising__factorial_8hpp_source.html">stan/math/prim/scal/fun/rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sign_8hpp_source.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2step_8hpp_source.html">stan/math/prim/scal/fun/step.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="trigamma_8hpp_source.html">stan/math/prim/scal/fun/trigamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__constrain_8hpp_source.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__free_8hpp_source.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of__rec_8hpp_source.html">stan/math/prim/scal/fun/value_of_rec.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fun_8hpp_source.html">Go to the source code of this file.</a></p>
+</div><!-- contents -->
+<hr/>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li>  </ul>
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+<div class="title">fun.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fun_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2abs_8hpp.html">stan/math/prim/scal/fun/abs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2as__bool_8hpp.html">stan/math/prim/scal/fun/as_bool.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2bessel__first__kind_8hpp.html">stan/math/prim/scal/fun/bessel_first_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2bessel__second__kind_8hpp.html">stan/math/prim/scal/fun/bessel_second_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binary__log__loss_8hpp.html">stan/math/prim/scal/fun/binary_log_loss.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__constrain_8hpp.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__free_8hpp.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2divide_8hpp.html">stan/math/prim/scal/fun/divide.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2exp2_8hpp.html">stan/math/prim/scal/fun/exp2.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_f32_8hpp.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2falling__factorial_8hpp.html">stan/math/prim/scal/fun/falling_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2fdim_8hpp.html">stan/math/prim/scal/fun/fdim.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__2_f1_8hpp.html">stan/math/prim/scal/fun/grad_2F1.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad___f32_8hpp.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2grad__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2ibeta_8hpp.html">stan/math/prim/scal/fun/ibeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__constrain_8hpp.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__free_8hpp.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2if__else_8hpp.html">stan/math/prim/scal/fun/if_else.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__dda_8hpp.html">stan/math/prim/scal/fun/inc_beta_dda.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__ddb_8hpp.html">stan/math/prim/scal/fun/inc_beta_ddb.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__ddz_8hpp.html">stan/math/prim/scal/fun/inc_beta_ddz.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="int__step_8hpp.html">stan/math/prim/scal/fun/int_step.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv_8hpp.html">stan/math/prim/scal/fun/inv.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__cloglog_8hpp.html">stan/math/prim/scal/fun/inv_cloglog.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__sqrt_8hpp.html">stan/math/prim/scal/fun/inv_sqrt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__square_8hpp.html">stan/math/prim/scal/fun/inv_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inverse__softmax_8hpp.html">stan/math/prim/scal/fun/inverse_softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2is__inf_8hpp.html">stan/math/prim/scal/fun/is_inf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2is__nan_8hpp.html">stan/math/prim/scal/fun/is_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2is__uninitialized_8hpp.html">stan/math/prim/scal/fun/is_uninitialized.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__constrain_8hpp.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__free_8hpp.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lmgamma_8hpp.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m__exp_8hpp.html">stan/math/prim/scal/fun/log1m_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m__inv__logit_8hpp.html">stan/math/prim/scal/fun/log1m_inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p__exp_8hpp.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log2_8hpp.html">stan/math/prim/scal/fun/log2.hpp</a>&gt;</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
+<div class="ttc" id="identity__constrain_8hpp_html"><div class="ttname"><a href="identity__constrain_8hpp.html">identity_constrain.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2as__bool_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2as__bool_8hpp.html">as_bool.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p_8hpp.html">log1p.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2if__else_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2if__else_8hpp.html">if_else.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2bessel__second__kind_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2bessel__second__kind_8hpp.html">bessel_second_kind.hpp</a></div></div>
+<div class="ttc" id="logical__lt_8hpp_html"><div class="ttname"><a href="logical__lt_8hpp.html">logical_lt.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2exp2_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2exp2_8hpp.html">exp2.hpp</a></div></div>
+<div class="ttc" id="positive__constrain_8hpp_html"><div class="ttname"><a href="positive__constrain_8hpp.html">positive_constrain.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2logit_8hpp.html">logit.hpp</a></div></div>
+<div class="ttc" id="lub__constrain_8hpp_html"><div class="ttname"><a href="lub__constrain_8hpp.html">lub_constrain.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2step_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2step_8hpp.html">step.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2_phi_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2_phi_8hpp.html">Phi.hpp</a></div></div>
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+<div class="ttc" id="lb__constrain_8hpp_html"><div class="ttname"><a href="lb__constrain_8hpp.html">lb_constrain.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv_8hpp.html">inv.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv__sqrt_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__sqrt_8hpp.html">inv_sqrt.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2fdim_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2fdim_8hpp.html">fdim.hpp</a></div></div>
+<div class="ttc" id="inc__beta__dda_8hpp_html"><div class="ttname"><a href="inc__beta__dda_8hpp.html">inc_beta_dda.hpp</a></div></div>
+<div class="ttc" id="corr__free_8hpp_html"><div class="ttname"><a href="corr__free_8hpp.html">corr_free.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/functions.html b/doc/api/html/functions.html
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+  $(document).ready(function() { init_search(); });
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
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+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
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+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
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+    </ul>
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+  <div id="navrow4" class="tabs3">
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+      <li class="current"><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
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+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index__"></a>- _ -</h3><ul>
+<li>_alloc
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a26108bbfc96084647517312ce22d11a4">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
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+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a469e4f07d669c1021cfbd5c50db3f290">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">stan::math::welford_var_estimator</a>
+</li>
+<li>_m2
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#aad5f954fb329515cfbd7b3c42c7f08ea">stan::math::welford_covar_estimator</a>
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+</li>
+<li>_num_samples
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a5f7ae37d6344c34adf7ec26359540a49">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">stan::math::welford_var_estimator</a>
+</li>
+<li>_variA
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a3b0c5b165c4253d8052147bc416b28ea">stan::math::LDLT_alloc&lt; R, C &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+    <ul class="tablist">
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+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+    </ul>
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li class="current"><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
+<li>a
+: <a class="el" href="classstan_1_1_vector_builder.html#a6bbefa466748a220076744c697f393b6">stan::VectorBuilder&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;</a>
+</li>
+<li>accumulator()
+: <a class="el" href="classstan_1_1math_1_1accumulator.html#afb44f3c753ac1373482e123df612a266">stan::math::accumulator&lt; T &gt;</a>
+</li>
+<li>ad_
+: <a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#a268d419189be0d83b45cbd023d888d79">stan::math::op_ddv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dv__vari.html#a30f5589cb9d3e0ee8a0219316531daee">stan::math::op_dv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#a6f88997d24c47ad9cb0c14cc628f487a">stan::math::op_dvd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dvv__vari.html#acb47ad05b53b828ecc2dc5d23b2e0d75">stan::math::op_dvv_vari</a>
+</li>
+<li>add()
+: <a class="el" href="classstan_1_1math_1_1accumulator.html#a858c109ee631e131be0d07cf98c702e4">stan::math::accumulator&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1array__builder.html#a085e0190d7a41c4e33bfa9f542b1d62a">stan::math::array_builder&lt; T &gt;</a>
+</li>
+<li>add_sample()
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a48b13f8f23644e2a35c64f34ee5b97bc">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#ab06deee0c1f179a87969e2a2e76599fd">stan::math::welford_var_estimator</a>
+</li>
+<li>AddCost
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a9d999dfd79c2ae5df9bf7fe13e625a51">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a4114588cd7374efae03440efcad3674c">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+<li>adj()
+: <a class="el" href="classstan_1_1math_1_1var.html#a7366cb3fd02521783e25de7615a7d098">stan::math::var</a>
+</li>
+<li>adj_
+: <a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">stan::math::vari</a>
+</li>
+<li>all_partials
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acfa641023c43838d73d1542e5f8fb972">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ab66e9568baf1aec67e59fbc61244c63f">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>all_varis
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#accdd1f46ef65e394863d057b7bfa9039">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>alloc()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">stan::math::stack_alloc</a>
+</li>
+<li>alloc_array()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#ac00d799a98c424893745b20166cff14b">stan::math::stack_alloc</a>
+</li>
+<li>alpha_
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a8c77333a2a3a85359e417d33291a8b19">stan::math::gevv_vvv_vari</a>
+</li>
+<li>apply()
+: <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#aaf401939bfd99ba649d517b4e63f3fb1">stan::math::apply_scalar_unary&lt; F, T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a38488eadfcfeb1a9286fb87600519df1">stan::math::apply_scalar_unary&lt; F, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#ab9f06ee57aeb0da1db44535e2e7c4916">stan::math::apply_scalar_unary&lt; F, int &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a25197be9e9c54310bc9e2c478ce5d94e">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#acb742be7fe78126247c92a57175e738e">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a9e7c75f072d843703edb6f33de95c430">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html#a2910fcfa6312889570ddaf88b1c3b54f">stan::math::promote_scalar_struct&lt; T, S &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html#a208f0f24a10b7711e08f5e3ce0ffec9b">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html#a9bbd5543d696d149ab4aee5a8144fb1e">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html#a1fb52f1fc9db8b4c3679035da9d6317e">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1,-1 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a1737468cee6801ffd1d111cf2170ac17">stan::math::promote_scalar_struct&lt; T, std::vector&lt; S &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html#a355172d2e18fb6a97677cc7cbff473f6">stan::math::promote_scalar_struct&lt; T, T &gt;</a>
+</li>
+<li>array()
+: <a class="el" href="structstan_1_1math_1_1array__builder.html#a725410c59aa282c6b23c52fd252aa1a3">stan::math::array_builder&lt; T &gt;</a>
+</li>
+<li>array_builder()
+: <a class="el" href="structstan_1_1math_1_1array__builder.html#a8e2649b71c980137fa5d86433d2be50c">stan::math::array_builder&lt; T &gt;</a>
+</li>
+<li>avi_
+: <a class="el" href="classstan_1_1math_1_1op__v__vari.html#a115547abf8f49bc6c524d126ff9965b6">stan::math::op_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vd__vari.html#a00e8ccf1cd732f4f2688bc4248fd700f">stan::math::op_vd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdd__vari.html#a941aebe177838074a9576f3967f0ca42">stan::math::op_vdd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdv__vari.html#aa954e347c9288c85a11bb4306e6ad35b">stan::math::op_vdv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vv__vari.html#a9fcd1e5dacb0fbd015b28c4773071b6d">stan::math::op_vv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#aca07baf5275497bc4b6e2d42148296c9">stan::math::op_vvd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac813cca4e210763164b061732e60d775">stan::math::op_vvv_vari</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/functions_b.html b/doc/api/html/functions_b.html
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="search/searchdata.js"></script>
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li class="current"><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
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+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
+<li>bd_
+: <a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#ae1d70829103888d1008c8910e4cbff2c">stan::math::op_ddv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vd__vari.html#ae1eaf8ba4cdb63d1f66c4fc2849788fc">stan::math::op_vd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdd__vari.html#aa5107d1c0d8c46a91eac4d6621b963c7">stan::math::op_vdd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdv__vari.html#a8a8d9b43a909c0246d171d6dc65c8379">stan::math::op_vdv_vari</a>
+</li>
+<li>bvi_
+: <a class="el" href="classstan_1_1math_1_1op__dv__vari.html#a2442bb729d0afe617b6c24accae7d10b">stan::math::op_dv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#a57237dc3d1b1c0288fdbad9793ac63c7">stan::math::op_dvd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dvv__vari.html#a16a4bbb74c4dfc664ab8b208352f6a91">stan::math::op_dvv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vv__vari.html#abe4e66ae889c118cb8ca89fcc6f6e216">stan::math::op_vv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#a0a708211e17a4967f8b32594fda9b33a">stan::math::op_vvd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac8e9a82361ea5fcf0a51f088d29be90e">stan::math::op_vvv_vari</a>
+</li>
+<li>bytes_allocated()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#ac72fe7b15ca3086766445e2672e0b504">stan::math::stack_alloc</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
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+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+  <div id="navrow1" class="tabs">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li class="current"><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
+<li>cd_
+: <a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#aafff013835800b2611e582f75a4a87e1">stan::math::op_dvd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdd__vari.html#a7acdfdfc206b8c3e9335af73091bb471">stan::math::op_vdd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#a6184fba1516ee458408d47f8ba4d64fa">stan::math::op_vvd_vari</a>
+</li>
+<li>chain()
+: <a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#aab81d9945c0a4aaa2ea3c8d1888e2b81">stan::math::cholesky_decompose_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#aa0e048f3021fa5bd5b4e20152ab0c77d">stan::math::gevv_vvv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__v__vari.html#a1ea984c684b3bc8a368c9554d9f0625b">stan::math::precomp_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#ad3a8d46be2b9b6b8947953d3f537cc4c">stan::math::precomp_vv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#a2e4939dbd5afb15e897f7af7dfa72640">stan::math::precomp_vvv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#a3fdc12d96fed2ae97bc8b6d90c117d1e">stan::math::precomputed_gradients_vari</a>
+, <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a832278a4273ca489bc52148d6300b638">stan::math::stored_gradient_vari</a>
+, <a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a480eb0c5d04c92a3a4e28952ee14a4bb">stan::math::sum_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">stan::math::vari</a>
+</li>
+<li>chainable_alloc()
+: <a class="el" href="classstan_1_1math_1_1chainable__alloc.html#a2c6f63c774596d247fb5ef3083a8013d">stan::math::chainable_alloc</a>
+</li>
+<li>check()
+: <a class="el" href="structstan_1_1math_1_1detail_1_1bounded.html#aacb059ebca7a577b043db54f9f79cc9f">stan::math::detail::bounded&lt; T_y, T_low, T_high, y_is_vec &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html#afd17ed95a354d3786d35986021c2f559">stan::math::detail::bounded&lt; T_y, T_low, T_high, true &gt;</a>
+</li>
+<li>cholesky_decompose_v_vari()
+: <a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a9906839e06f5ae7c5c31b9d0c5fe1454">stan::math::cholesky_decompose_v_vari</a>
+</li>
+<li>cols()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac34a025473a988e2393db45dfdaa6288">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a73fd3def8c2a23ff4afbc5db359f4f84">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>compute()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a57ddd5cb234667b1c07becffad3b77de">stan::math::LDLT_alloc&lt; R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#abb2f0b7a7abb1aee5157b3c2cd3ffa83">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0ffe0d59212a19f9039b478abbacd45e">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>container_view()
+: <a class="el" href="classstan_1_1math_1_1container__view.html#a6fe36f3d62137ef5755cedcc69b64d22">stan::math::container_view&lt; T1, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a50bf179032b8fe16201ded36c2d195f1">stan::math::container_view&lt; dummy, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#ada334e228fbc14af8df1cce4d9dc49fa">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#ad29aea372283a2198c9b41813cb283c6">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html#a9e85ebcc143d65666cc17117257e67ce">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#ae8c8f2d62c4841ca458580c2af67505f">stan::math::container_view&lt; std::vector&lt; T1 &gt;, T2 &gt;</a>
+</li>
+<li>coupled_ode_observer()
+: <a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#a1cbc3b0af0db1af7a2614619963dafb2">stan::math::coupled_ode_observer</a>
+</li>
+<li>coupled_ode_system()
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a40185af10295bf1b41f2e1361ce1df2f">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a6f7d9914ea3740d8b6e5105a87aa2cd8">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa09103f609e2d9bc433071465f9c1b9f">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae9edecb8350c8aefd15c59c7e476e87d">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>cvi_
+: <a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#a56c1fc22f4f329cca3da733c6eb0f73a">stan::math::op_ddv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dvv__vari.html#aaddf51db2da17712cf73941d9a65c072">stan::math::op_dvv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdv__vari.html#a7fb6e0e51feb1099d20918fe951f83e9">stan::math::op_vdv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ad8b02ef27dfacf65c9e4eac914cc800e">stan::math::op_vvv_vari</a>
+</li>
+<li>cvodes_ode_data()
+: <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#ab3a92c309f8f91436e8019a95d944a16">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li class="current"><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
+<li>d_
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar&lt; T &gt;</a>
+</li>
+<li>d_x1
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#af3f9c82e9116cc0419b7d9cdac8944cc">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ac3da0f123dda13340cd425733f317dfb">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>d_x2
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ab75d8cd6f71d3c5b378b82d813caf285">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#af657840ea458aca67fc477339cef7dfd">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>d_x3
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae93a9300d6811b879497cf681caeca67">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a9e81624687b22f12738b43e08068ecdb">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>d_x4
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ada24bf5265c454ba822b272cc65a87e8">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a14a7b48d91addf99b5924185941362d7">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>d_x5
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#a2510456783a14b95a31875b3d2290fac">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a6eb9817647f74585a99795941a0ed0bb">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ad0f79b2e3de49d5d25baf91aebcdda46">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>d_x6
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#ad40923a1e408b5b54f5652e3309d0912">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a7a93e0cb0633c8410c001aeb5b7756e3">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#abb05a246148273ea10a4f18f2be9079d">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>da_
+: <a class="el" href="classstan_1_1math_1_1precomp__v__vari.html#aebcc7a60e78ba7f4156697faaf9cc0f0">stan::math::precomp_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#af97b5e93718119df5074e486f4825bea">stan::math::precomp_vv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#ab917bd646e4c1e48cc62c0200b4be8ca">stan::math::precomp_vvv_vari</a>
+</li>
+<li>data()
+: <a class="el" href="classstan_1_1_vector_builder.html#a237d449ccafb108de8d416001b6e32e4">stan::VectorBuilder&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper.html#aff55c0d36f30b1ef0751fa567083f15c">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a73852f108cd5c72af0cf788add639628">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#aa4b5a3d0c5909b57772914bbdeac3143">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a>
+</li>
+<li>db_
+: <a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#a135ab5b456986b163575aceb179a8a40">stan::math::precomp_vv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#ae0b4d2b33c8c29d99021b4693a1247ce">stan::math::precomp_vvv_vari</a>
+</li>
+<li>dc_
+: <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#ad4e4385c71e5c0ae76b62e1f581600b0">stan::math::precomp_vvv_vari</a>
+</li>
+<li>decouple_states()
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a4fa261df6b9bba8fa617000f661ab330">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ae5a23e98720f934c3ce7d26901b34b6f">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a8980f6cc5827c50c671266150388caee">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ac07a596c9b7dbac47dbe7e6c1310d560">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>denorm_min()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a83a3f6cc9f8616ff3a1a0d25c13febd0">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a28a2bf586d50372baccd5ad89656691e">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>dense_jacobian()
+: <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#a77214fd101bc1df4044a706a9f79c4e9">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a>
+</li>
+<li>digits
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#acacc88b265be440d023641830e9555e8">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a6f832c798083861791d8f8422d297cc5">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>digits10
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac72f6fb71cb6f7e4066f6cb4d4d264a8">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a306499deadac99dc6648a436dd1b91e7">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>dotval_
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a674d2c68ca4a0bfce7d38c644e430d7a">stan::math::gevv_vvv_vari</a>
+</li>
+<li>dtrs_
+: <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#ae5c373b3fc563e291e189571057c2027">stan::math::stored_gradient_vari</a>
+</li>
+<li>dummy_precision()
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a4c08b4bba00a46601d760d90fdba943d">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a66eef3581ef6582fbb03a30749bc87b2">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
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+               onmouseover="return searchBox.OnSearchSelectShow()"
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+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li class="current"><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_e"></a>- e -</h3><ul>
+<li>epsilon()
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a8532a2c2276f85829398e8eed1fffede">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a6ee32c875e248190487e374103f1d599">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#abf9a7000542d5141f8f6791282aecc5e">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a9721f6791342af12c178669b3ed87ccc">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>eval_gevv()
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a9baad1e3c1fe91eabc1cdb68982426df">stan::math::gevv_vvv_vari</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+<table cellspacing="0" cellpadding="0">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
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+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
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+      <li><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li class="current"><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
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+      <li><a href="#index_l"><span>l</span></a></li>
+      <li><a href="#index_m"><span>m</span></a></li>
+      <li><a href="#index_r"><span>r</span></a></li>
+      <li class="current"><a href="#index_v"><span>v</span></a></li>
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+&#160;
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+<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
+<li>AddCost
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a9d999dfd79c2ae5df9bf7fe13e625a51">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
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+
+<h3><a class="anchor" id="index_h"></a>- h -</h3><ul>
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+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a331e8b0d5aeefe0c3d552cddade41ae3">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
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+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>IsComplex
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a927bbae55331d3b6f7cb4c78a5fad146">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
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+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
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+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258ac32ba519bab5db01a8b5cd1a4d892c0d">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
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+</li>
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+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a9755aac49dbaa87c3a448219f225d903">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634aaf0cb8ae61102886fd8979a5e0adf442">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
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+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>value
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+</li>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
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+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li class="current"><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
+<li>f_
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6d34cf58dd65908c274346f9faffa1c9">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a29bdd2a1b78ae39b6be208202254d641">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a315e28cc50d328c6b384142310e9721b">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#afedc7496fd5c35ba1e8325d71c8100be">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>free_all()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#af65518d98ebd980303efa6cc3af76073">stan::math::stack_alloc</a>
+</li>
+<li>fvar()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a923f4b28c579d63838897b7199af0b9d">stan::math::fvar&lt; T &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/functions_func.html b/doc/api/html/functions_func.html
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--- /dev/null
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li class="current"><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
+<li>accumulator()
+: <a class="el" href="classstan_1_1math_1_1accumulator.html#afb44f3c753ac1373482e123df612a266">stan::math::accumulator&lt; T &gt;</a>
+</li>
+<li>add()
+: <a class="el" href="classstan_1_1math_1_1accumulator.html#af2da77a509c4e7e9c16d8a6f691a6901">stan::math::accumulator&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1array__builder.html#a085e0190d7a41c4e33bfa9f542b1d62a">stan::math::array_builder&lt; T &gt;</a>
+</li>
+<li>add_sample()
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a48b13f8f23644e2a35c64f34ee5b97bc">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#ab06deee0c1f179a87969e2a2e76599fd">stan::math::welford_var_estimator</a>
+</li>
+<li>adj()
+: <a class="el" href="classstan_1_1math_1_1var.html#a7366cb3fd02521783e25de7615a7d098">stan::math::var</a>
+</li>
+<li>alloc()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">stan::math::stack_alloc</a>
+</li>
+<li>alloc_array()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#ac00d799a98c424893745b20166cff14b">stan::math::stack_alloc</a>
+</li>
+<li>apply()
+: <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#aaf401939bfd99ba649d517b4e63f3fb1">stan::math::apply_scalar_unary&lt; F, T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a38488eadfcfeb1a9286fb87600519df1">stan::math::apply_scalar_unary&lt; F, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#ab9f06ee57aeb0da1db44535e2e7c4916">stan::math::apply_scalar_unary&lt; F, int &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a25197be9e9c54310bc9e2c478ce5d94e">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#acb742be7fe78126247c92a57175e738e">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a9e7c75f072d843703edb6f33de95c430">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html#a2910fcfa6312889570ddaf88b1c3b54f">stan::math::promote_scalar_struct&lt; T, S &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html#a208f0f24a10b7711e08f5e3ce0ffec9b">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html#a9bbd5543d696d149ab4aee5a8144fb1e">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html#a1fb52f1fc9db8b4c3679035da9d6317e">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1,-1 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a1737468cee6801ffd1d111cf2170ac17">stan::math::promote_scalar_struct&lt; T, std::vector&lt; S &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html#a355172d2e18fb6a97677cc7cbff473f6">stan::math::promote_scalar_struct&lt; T, T &gt;</a>
+</li>
+<li>array()
+: <a class="el" href="structstan_1_1math_1_1array__builder.html#a725410c59aa282c6b23c52fd252aa1a3">stan::math::array_builder&lt; T &gt;</a>
+</li>
+<li>array_builder()
+: <a class="el" href="structstan_1_1math_1_1array__builder.html#a8e2649b71c980137fa5d86433d2be50c">stan::math::array_builder&lt; T &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+<!-- end header part -->
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+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li class="current"><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
+<li>bytes_allocated()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#ac72fe7b15ca3086766445e2672e0b504">stan::math::stack_alloc</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members - Functions</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="search/searchdata.js"></script>
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+  $(document).ready(function() { init_search(); });
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li class="current"><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+</div>
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
+<li>chain()
+: <a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#aab81d9945c0a4aaa2ea3c8d1888e2b81">stan::math::cholesky_decompose_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#aa0e048f3021fa5bd5b4e20152ab0c77d">stan::math::gevv_vvv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__v__vari.html#a1ea984c684b3bc8a368c9554d9f0625b">stan::math::precomp_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#ad3a8d46be2b9b6b8947953d3f537cc4c">stan::math::precomp_vv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#a2e4939dbd5afb15e897f7af7dfa72640">stan::math::precomp_vvv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#a3fdc12d96fed2ae97bc8b6d90c117d1e">stan::math::precomputed_gradients_vari</a>
+, <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a832278a4273ca489bc52148d6300b638">stan::math::stored_gradient_vari</a>
+, <a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a480eb0c5d04c92a3a4e28952ee14a4bb">stan::math::sum_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1vari.html#a49e7e163a7f36e485e86e79d800ba04f">stan::math::vari</a>
+</li>
+<li>chainable_alloc()
+: <a class="el" href="classstan_1_1math_1_1chainable__alloc.html#a2c6f63c774596d247fb5ef3083a8013d">stan::math::chainable_alloc</a>
+</li>
+<li>check()
+: <a class="el" href="structstan_1_1math_1_1detail_1_1bounded.html#aacb059ebca7a577b043db54f9f79cc9f">stan::math::detail::bounded&lt; T_y, T_low, T_high, y_is_vec &gt;</a>
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+<li>cholesky_decompose_v_vari()
+: <a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a9906839e06f5ae7c5c31b9d0c5fe1454">stan::math::cholesky_decompose_v_vari</a>
+</li>
+<li>cols()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac34a025473a988e2393db45dfdaa6288">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a73fd3def8c2a23ff4afbc5db359f4f84">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>compute()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a57ddd5cb234667b1c07becffad3b77de">stan::math::LDLT_alloc&lt; R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#abb2f0b7a7abb1aee5157b3c2cd3ffa83">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0ffe0d59212a19f9039b478abbacd45e">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>container_view()
+: <a class="el" href="classstan_1_1math_1_1container__view.html#a6fe36f3d62137ef5755cedcc69b64d22">stan::math::container_view&lt; T1, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a50bf179032b8fe16201ded36c2d195f1">stan::math::container_view&lt; dummy, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#ada334e228fbc14af8df1cce4d9dc49fa">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#ad29aea372283a2198c9b41813cb283c6">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html#a9e85ebcc143d65666cc17117257e67ce">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#ae8c8f2d62c4841ca458580c2af67505f">stan::math::container_view&lt; std::vector&lt; T1 &gt;, T2 &gt;</a>
+</li>
+<li>coupled_ode_observer()
+: <a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#a1cbc3b0af0db1af7a2614619963dafb2">stan::math::coupled_ode_observer</a>
+</li>
+<li>coupled_ode_system()
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a40185af10295bf1b41f2e1361ce1df2f">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a6f7d9914ea3740d8b6e5105a87aa2cd8">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa09103f609e2d9bc433071465f9c1b9f">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae9edecb8350c8aefd15c59c7e476e87d">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>cvodes_ode_data()
+: <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#ab3a92c309f8f91436e8019a95d944a16">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  $(document).ready(function() { init_search(); });
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+      <li><a href="functions.html"><span>All</span></a></li>
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+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
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+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
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+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li class="current"><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
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+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
+<li>data()
+: <a class="el" href="classstan_1_1_vector_builder.html#a237d449ccafb108de8d416001b6e32e4">stan::VectorBuilder&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper.html#aff55c0d36f30b1ef0751fa567083f15c">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a73852f108cd5c72af0cf788add639628">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a>
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+</li>
+<li>decouple_states()
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a4fa261df6b9bba8fa617000f661ab330">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ae5a23e98720f934c3ce7d26901b34b6f">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a8980f6cc5827c50c671266150388caee">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ac07a596c9b7dbac47dbe7e6c1310d560">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>denorm_min()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a83a3f6cc9f8616ff3a1a0d25c13febd0">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a28a2bf586d50372baccd5ad89656691e">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>dense_jacobian()
+: <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#a77214fd101bc1df4044a706a9f79c4e9">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a>
+</li>
+<li>dummy_precision()
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a4c08b4bba00a46601d760d90fdba943d">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a66eef3581ef6582fbb03a30749bc87b2">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<script type="text/javascript" src="dynsections.js"></script>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
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+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
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+    </ul>
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+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li class="current"><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_e"></a>- e -</h3><ul>
+<li>epsilon()
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a8532a2c2276f85829398e8eed1fffede">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a6ee32c875e248190487e374103f1d599">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#abf9a7000542d5141f8f6791282aecc5e">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a9721f6791342af12c178669b3ed87ccc">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>eval_gevv()
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a9baad1e3c1fe91eabc1cdb68982426df">stan::math::gevv_vvv_vari</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<script type="text/javascript" src="dynsections.js"></script>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
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+&#160;
+
+<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
+<li>free_all()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#af65518d98ebd980303efa6cc3af76073">stan::math::stack_alloc</a>
+</li>
+<li>fvar()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a9d15782da37b06ece7d293c94e0150a3">stan::math::fvar&lt; T &gt;</a>
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+  <span style="float:left; margin=0 1em 0 1em;">
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+
+<h3><a class="anchor" id="index_g"></a>- g -</h3><ul>
+<li>gevv_vvv_vari()
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#af573bcde4dada4aa9bc27fd9dfcff9c9">stan::math::gevv_vvv_vari</a>
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+<li>grad()
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+</li>
+</ul>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
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+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li class="current"><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>infinity()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#afb373d33a5d27f12cc75f8655207fd6b">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a124f44266afc97648e4d3cb9f1379090">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>init_dependent()
+: <a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">stan::math::vari</a>
+</li>
+<li>initial_state()
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ed6425673c2af35796dcb8ec69b78a2">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a3e039bc430a91652cfa3a25ea104c876">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a90f14fa30557743ca18115488de7f59e">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aa338d8c630209cd7d8d98334acfa03ba">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>inverse()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a5b44e5dd48e3e8b8dbc4bc7a37b64d86">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>is_uninitialized()
+: <a class="el" href="classstan_1_1math_1_1var.html#a255e54d15bd3bda71d3e86ce19bc40ce">stan::math::var</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
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+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
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+  <div id="navrow4" class="tabs3">
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+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
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+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
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+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_j"></a>- j -</h3><ul>
+<li>jacobian()
+: <a class="el" href="classstan_1_1math_1_1ode__system.html#a449c35dbebd10583051e37e59aa130e4">stan::math::ode_system&lt; F &gt;</a>
+</li>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li class="current"><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
+<li>LDLT_alloc()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a5fc32fdc53e7e4c25fdb0343202f1280">stan::math::LDLT_alloc&lt; R, C &gt;</a>
+</li>
+<li>LDLT_factor()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ade86bbc6c4946e8c2ae0a5e64448bb0c">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
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+</li>
+<li>log_abs_det()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#ab5039b38ec6d0cf6fb6ef49f4d837ce3">stan::math::LDLT_alloc&lt; R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a4762da221ad734ac0d1572df6a16de9c">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>lowest()
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aaf7446de33e7a3e5f21b4548ccaf5c7a">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a4888e98688ab32e913800888a9fe04dc">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>matrixLDLT()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a3b6f930baacb4fb2ecca1acf8d104ffb">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>max()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a54b8e07a42d555f9783640b49428da2c">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a7ac4e8fcb64946415100aa2ff28799ee">std::numeric_limits&lt; stan::math::var &gt;</a>
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+<li>min()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1f98885d72104f524c0cbccbd7ac3152">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a8d71ee2cb09cc89fbc145616d5123f80">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
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+<iframe src="javascript:void(0)" frameborder="0" 
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>num_samples()
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a2ec375fd25e5d9a0c04b05082632f2fe">stan::math::welford_covar_estimator</a>
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+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
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+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
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+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
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+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li class="current"><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_o"></a>- o -</h3><ul>
+<li>ode_rhs()
+: <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#af3c1bc1a011996a539a4ee0f21fd771d">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a>
+</li>
+<li>ode_rhs_sens()
+: <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#a047195a59d7514745fdec2bf7a18cff6">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a>
+</li>
+<li>ode_system()
+: <a class="el" href="classstan_1_1math_1_1ode__system.html#ae42b354ccbb7a22d64d81e834e6f2701">stan::math::ode_system&lt; F &gt;</a>
+</li>
+<li>op_ddv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#ace53db6f0edb4a841be08a8692d1db68">stan::math::op_ddv_vari</a>
+</li>
+<li>op_dv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__dv__vari.html#a323e4ee6a54cf1beeb8427c1e1b2e844">stan::math::op_dv_vari</a>
+</li>
+<li>op_dvd_vari()
+: <a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#ac81bd4c694f92f8f6bebc20b02571535">stan::math::op_dvd_vari</a>
+</li>
+<li>op_dvv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__dvv__vari.html#a311ec040af4430d5d2ca608ab21c4bd3">stan::math::op_dvv_vari</a>
+</li>
+<li>op_matrix_vari()
+: <a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a38f1c03104b4d76ec79aca62a1d0f66f">stan::math::op_matrix_vari</a>
+</li>
+<li>op_v_vari()
+: <a class="el" href="classstan_1_1math_1_1op__v__vari.html#a9d5d71fd9963d2e5c8bff707127b2380">stan::math::op_v_vari</a>
+</li>
+<li>op_vd_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vd__vari.html#a013c49536757793f7b912c7f1b046111">stan::math::op_vd_vari</a>
+</li>
+<li>op_vdd_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vdd__vari.html#abceb88fe7a28682e996e02e92615a9d1">stan::math::op_vdd_vari</a>
+</li>
+<li>op_vdv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vdv__vari.html#a68c779eb803deaffa3b31f69bfc8b329">stan::math::op_vdv_vari</a>
+</li>
+<li>op_vector_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vector__vari.html#ac291df279dc87ae570666da57c96315c">stan::math::op_vector_vari</a>
+</li>
+<li>op_vv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vv__vari.html#a3dcab4ca1dbd8919683d11d13419278e">stan::math::op_vv_vari</a>
+</li>
+<li>op_vvd_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#a9d05288a55b07c9dedc37436f42fa4b6">stan::math::op_vvd_vari</a>
+</li>
+<li>op_vvv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac1e794e5ed125a3183d00d84d22cb7aa">stan::math::op_vvv_vari</a>
+</li>
+<li>OperandsAndPartials()
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#adf6b7d0ec54cb420870fa5fa2ff3907d">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae71d14e91cd63326881e433fc17ff0b2">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a560eb18fec2ac9cf470108ba4090f190">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>operator delete()
+: <a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">stan::math::vari</a>
+</li>
+<li>operator new()
+: <a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">stan::math::vari</a>
+</li>
+<li>operator()()
+: <a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#a6c0c4107e1d62a89395e5ee17e5a43c4">stan::math::coupled_ode_observer</a>
+, <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a210cec0472790c60d5956c8266359e9e">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#abaa6f106d429e6bb6b5a4a7947556cc2">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ab3ed90ba43337909ed3a7198a4d070f4">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aaeeda24d0c36ffb66a27144aff0665c1">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1ode__system.html#a4ed68f6ec3399a46f873a08f93025f00">stan::math::ode_system&lt; F &gt;</a>
+</li>
+<li>operator*()
+: <a class="el" href="classstan_1_1math_1_1var.html#a7d48485af46f48f88abf8d8af40738a3">stan::math::var</a>
+</li>
+<li>operator*=()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a9b2feee9256c7d918fc9773ca228283b">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#affbb26eba0c14f42c4d70c98c4b40dae">stan::math::var</a>
+</li>
+<li>operator++()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#ac3d87dc556498952498b6d1c1dcbe204">stan::math::fvar&lt; T &gt;</a>
+</li>
+<li>operator+=()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a2e8ed7892827b43ec62736e8999bafd5">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#a87ea11fd8f1b21c7a79a849886839d54">stan::math::var</a>
+</li>
+<li>operator--()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a08587bd5322f627971294a39b0444bf3">stan::math::fvar&lt; T &gt;</a>
+</li>
+<li>operator-=()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#ab4b948b7db1f825efd3e86acc2f19ec6">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#a8892192fd51894b90e59a213fe02aeb9">stan::math::var</a>
+</li>
+<li>operator-&gt;()
+: <a class="el" href="classstan_1_1math_1_1var.html#acb10b163ad0fbc84829baed06ddda8e7">stan::math::var</a>
+</li>
+<li>operator/=()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a3c292c2e417a54f690fc9f66b4d10ccd">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#aa158a69964d0f86042daa3e279ecff3f">stan::math::var</a>
+</li>
+<li>operator[]()
+: <a class="el" href="classstan_1_1math_1_1container__view.html#a7ed8e00a52b48d1ba3ebbc4fa38e11ce">stan::math::container_view&lt; T1, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a19e3e8ef5cb77f25dc82a3da6711d7b8">stan::math::container_view&lt; dummy, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#acfe66b51d58fa11069c5ad4b9efea9ec">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#af2100b835c918d3f7c7bac8d6ec32937">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html#a35cb78b1c79de2b31dbed7b8390fa9aa">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#a4216d34813cec95c003ba84396fa104d">stan::math::container_view&lt; std::vector&lt; T1 &gt;, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#aa8857333f18280ecedc008d53cd39315">stan::math::op_matrix_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vector__vari.html#ab928e591879ce7be3edfe498b5c9c4e8">stan::math::op_vector_vari</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view.html#abdd1705b880895c4e32e917fad70fb0b">stan::math::seq_view&lt; T, S &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#a05bbd23ec952656521365f99d575a64c">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#aafd342f1f6f9851fd8f8e3494b36068e">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a6466225a392d75a98f0ae43c5f001820">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#ab45edf39aad64a4093db924b02322af9">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#acfe4d699397a114cabd8d970e569aac6">stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#aa8d34d4dd171acbd81d642aea1b8b61e">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#afe1bd346e72ac6adc53826801a7e54f2">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder.html#adf708a313726a2ae1ba979269ccee104">stan::VectorBuilder&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper.html#a623364e0ee8645a55bb93d3b067bd306">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a195496da4a18cc0cb2d3dc098af401a6">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#af2507b7e73412f828261a9b4e2c28c18">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view.html#afa380e5d11746837925198eeb8669299">stan::VectorView&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#adfca28e50072e07d54266232fca1271a">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a96ff41819584bd17c65d65820cd5fb82">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a3c3691cba50d962132fc75a2b8827ec6">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afbe613678e5454e51431068c7a7511d5">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html#a25253f834c8aac86ea40624f17a22684">stan::VectorView&lt; T, false, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#a07dca6c4fe1cf61478d866e8655ec929">stan::VectorView&lt; T, is_array, true &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html#a1571c35dd66bce4419afbe4aef871305">stan::VectorView&lt; T, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_mvt.html#a279439cc5038dfd0ea4da7fe58c1f6d0">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af1df7ae176f5dc3acafcb45663ea82a3">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
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+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
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+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
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+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li class="current"><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+
+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>precomp_v_vari()
+: <a class="el" href="classstan_1_1math_1_1precomp__v__vari.html#a0c517d5c59eff9c50c47be525b646a3a">stan::math::precomp_v_vari</a>
+</li>
+<li>precomp_vv_vari()
+: <a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#af33cdfd8e10840954045d5437ea0b521">stan::math::precomp_vv_vari</a>
+</li>
+<li>precomp_vvv_vari()
+: <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#a6d8ea94d167987d3aa4f437079f4f2c0">stan::math::precomp_vvv_vari</a>
+</li>
+<li>precomputed_gradients_vari()
+: <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#afab325fb81b8370a78f3455be5ebdeb6">stan::math::precomputed_gradients_vari</a>
+</li>
+<li>promote()
+: <a class="el" href="structstan_1_1math_1_1promoter.html#ab3df6e7131a09943826d1b995142d7d6">stan::math::promoter&lt; F, T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html#a9964d13b9f2f05efca2b21ac165210d8">stan::math::promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html#a525fc8cb91f5c4c22195cdb004b1eb0f">stan::math::promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a357d5eb63ba812437c51640670cef745">stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#adb1706254fcd6734bf986e2cd01b093f">stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html#ac8db3f3f3410059f5cae51383f1b38c2">stan::math::promoter&lt; T, T &gt;</a>
+</li>
+<li>promote_to()
+: <a class="el" href="structstan_1_1math_1_1promoter.html#a892e350b17a5930b9de4a9ff05eddc39">stan::math::promoter&lt; F, T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html#a68d5ee667d0706baf7dd52f08f6a87fd">stan::math::promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html#a9ff5ceffa5a1a568b750eb2f676d1da9">stan::math::promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a3da744179c9bbe7fe2ac326a4dcba352">stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a099437577ccd004d58c5b2ee3e5acf06">stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html#a108a1ffe4c0560f0c0b384270ea801f1">stan::math::promoter&lt; T, T &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<script type="text/javascript" src="dynsections.js"></script>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li class="current"><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_q"></a>- q -</h3><ul>
+<li>quiet_NaN()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a57076162eb3f395ddf9f475776bc45f4">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a3fbd271621effc1cd6c5ba6529f88ec9">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<script type="text/javascript" src="dynsections.js"></script>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li class="current"><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+</div>
+
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+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
+<li>recover_all()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#af298b06ae054599532498a1ccff4caeb">stan::math::stack_alloc</a>
+</li>
+<li>recover_nested()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#a9e7184bae2a2082fa7f683723379af7b">stan::math::stack_alloc</a>
+</li>
+<li>restart()
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a93b3b515ae3114705517faf174d72205">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#a8fe05482776782589809b802b12c1ce8">stan::math::welford_var_estimator</a>
+</li>
+<li>round_error()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a04ab86a7f52d6cb23211b7db997843cf">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ac3591cae0c363bded19db83484c03d9e">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>rows()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac71a0527f0d5cddaad94fe39b6d6df32">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a1d7602fffede73ed7f9d54d480299491">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>run()
+: <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a808d61f0706efe113aebca78c4b27982">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#ad408d758d5b0c1732f4f88a0a4784b78">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a838f3f363697ce818a0d9bd0c8975316">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html#a9836117e79b68d6d362a4b775195e6b4">Eigen::internal::significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html#aa8848c328f6a9e8262497de032911cac">Eigen::internal::significant_decimals_default_impl&lt; stan::math::var, false &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/functions_func_s.html b/doc/api/html/functions_func_s.html
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
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+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li class="current"><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>sample_covariance()
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a7d3a664aac837b2448ee6e51b570616a">stan::math::welford_covar_estimator</a>
+</li>
+<li>sample_mean()
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#ab032fe95b45062bd6b7316810508b50d">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aeee360036653a776666878188a4a15a0">stan::math::welford_var_estimator</a>
+</li>
+<li>sample_variance()
+: <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#a9dcda25a6b3ee85b207fb2b4975faa08">stan::math::welford_var_estimator</a>
+</li>
+<li>seq_view()
+: <a class="el" href="classstan_1_1math_1_1seq__view.html#a0c10cc8d25cff8c90c8bbecf3cd054a1">stan::math::seq_view&lt; T, S &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#ad82423565c559cd4e889350bc204319b">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a57ab58ed09da14b8efcf83b9d1528b88">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#ae570c324a14b81a018475195a77e4430">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a706e3bea5d58f77fd9d6d427e64aa370">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a42ff5c63f8f83390fc7c585b41c0d5ed">stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#ac35e60cb3f9e9f4dde81b8ed3b532a2b">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#a2e9627b1092238710ed116adc7c1cab5">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;</a>
+</li>
+<li>set_zero_adjoint()
+: <a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">stan::math::vari</a>
+</li>
+<li>signaling_NaN()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1f778384d98f2aeb1d4338ed4fb01c89">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#abe18cd7f77ecf062347231ef1193d404">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>size()
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a14cbf2d4763907cc2eb21b0465b793c4">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#acec587a37d9168a46a1ddd44c651dcd4">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada6e883cd3d290c2cf77df7a1c6940dc">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a1ff2fd5ed7f65a31079b8ad3fa931bda">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a35e94de2a37b83f8a1866fd57709be4b">stan::math::op_matrix_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vector__vari.html#a5e236b4bc3c9f0156532846d31f45c6f">stan::math::op_vector_vari</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view.html#ab20467423ddb3b3e45513abb8e4a21d3">stan::math::seq_view&lt; T, S &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#af56447dd766a3a5a9d6c97b0a2de9563">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a8c830a8c9c9c431a71a89cf4b996b27e">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a3284abfb2471ad555d43a8693658c5ec">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a07185ddaf17963a5724ddc2c62208922">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a3a6031049d11ce5429727dcbe5e29130">stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#ab81a7a5c2de89631c7aec2ab701854a1">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#a3f616444293b86fdb17272494c88cc4c">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;</a>
+</li>
+<li>size_of()
+: <a class="el" href="structstan_1_1size__of__helper.html#a8f7056983b7948acf66a2e8b3e37e855">stan::size_of_helper&lt; T, is_vec &gt;</a>
+, <a class="el" href="structstan_1_1size__of__helper_3_01_t_00_01true_01_4.html#af0810fc0270af209916e67d5defe4b7d">stan::size_of_helper&lt; T, true &gt;</a>
+</li>
+<li>solve()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a10f45f6aab48c0ffc6b4d0ad0e6c19b9">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0687e6e28885a9c5d0d14bc94cd41d01">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>solveRight()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2e05d02dd6e5bb010b14d1fdc71cea64">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>stack_alloc()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#a6008eaa183ed07fb744799103926baac">stan::math::stack_alloc</a>
+</li>
+<li>start_nested()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#abdba5f8d013107c6a37f75e186bd6dfc">stan::math::stack_alloc</a>
+</li>
+<li>stored_gradient_vari()
+: <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a9732c6c4334aea5e617476018e6ca4a5">stan::math::stored_gradient_vari</a>
+</li>
+<li>success()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a3ed28e459ba5ce68d97daf4eb0cc780e">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a22f6b503fe331aeeac5368b1f10eac0d">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>sum()
+: <a class="el" href="classstan_1_1math_1_1accumulator.html#ad24d63f81d6c3028abc73e102c60edf8">stan::math::accumulator&lt; T &gt;</a>
+</li>
+<li>sum_eigen_v_vari()
+: <a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html#a17ea145d6335dc9a5aabe3f02c572e96">stan::math::sum_eigen_v_vari</a>
+</li>
+<li>sum_of_val()
+: <a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html#a4511b6d534c5adefb3bdf87fae8a87e6">stan::math::sum_eigen_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a4d9b8faedd6e0dcde4cbad57ebba2b11">stan::math::sum_v_vari</a>
+</li>
+<li>sum_v_vari()
+: <a class="el" href="classstan_1_1math_1_1sum__v__vari.html#ae9bf55b4be96685eaaa9bfefcbe23de9">stan::math::sum_v_vari</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<title>Stan Math Library: Class Members - Functions</title>
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+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+  <div id="navrow2" class="tabs2">
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+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
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+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li class="current"><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>tangent()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a77961c425581e421a7fa441a7812d468">stan::math::fvar&lt; T &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members - Functions</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+  <div id="navrow2" class="tabs2">
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+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li class="current"><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>val()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#aebf2b1ad415c5f68d5b4c7a94384e3fc">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">stan::math::var</a>
+</li>
+<li>value()
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aeb8fad2b3e145dcd7538141e3090990e">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a179205c5cd9e947d7d1fe69d4860da47">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>var()
+: <a class="el" href="classstan_1_1math_1_1var.html#a6405710a647d0a5f20b07aa1a41e1b6b">stan::math::var</a>
+</li>
+<li>vari()
+: <a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">stan::math::vari</a>
+</li>
+<li>VectorBuilder()
+: <a class="el" href="classstan_1_1_vector_builder.html#a259630f1a916b23c98b664e173892e79">stan::VectorBuilder&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;</a>
+</li>
+<li>VectorBuilderHelper()
+: <a class="el" href="classstan_1_1_vector_builder_helper.html#abf2194ad2beb0ec7851ad06e7785cded">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a6dc945ef3e7661667f69bb82fc9df177">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#a41c70cddac8238f49b6afde03fe22102">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a>
+</li>
+<li>vectorD()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac9188aad7bdd50d4031449e7df91f890">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#afdec334e2365f43cdbe5a352cb353e2e">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>VectorView()
+: <a class="el" href="classstan_1_1_vector_view.html#a0b73aaeaa00a8c852f9bbad30eaaa78a">stan::VectorView&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a76f40d98ab7b00cc4cc6c7bd4a538820">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#ad2e1b08ed0622b2446a4629cd7f281a1">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a0e24242d02f220710376c929012daf81">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a675c42a2e8eb2944f62c0fe92eb4e661">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html#ae4acb8c469ddcba4f09118b5e6d99551">stan::VectorView&lt; T, false, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#a2050a50d04b8dcab84217156d8154686">stan::VectorView&lt; T, is_array, true &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html#a585c55843efa35443ec73138368d88d9">stan::VectorView&lt; T, true, false &gt;</a>
+</li>
+<li>VectorViewMvt()
+: <a class="el" href="classstan_1_1_vector_view_mvt.html#a7e8d6dd9b7067dbf02b7b973806335c0">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#a5faf023847a5654c294db465351b13d8">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members - Functions</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<table cellspacing="0" cellpadding="0">
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
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+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li class="current"><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_w"></a>- w -</h3><ul>
+<li>welford_covar_estimator()
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a91b414e3472b5a9d83be8caca053b933">stan::math::welford_covar_estimator</a>
+</li>
+<li>welford_var_estimator()
+: <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#a6fbed26e157b497f90f22d6a4fa08f50">stan::math::welford_var_estimator</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li class="current"><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions_func.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_func_w.html#index_w"><span>w</span></a></li>
+      <li class="current"><a href="functions_func_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_~"></a>- ~ -</h3><ul>
+<li>~accumulator()
+: <a class="el" href="classstan_1_1math_1_1accumulator.html#a298d4088fbfdfca98d2c8e36a5ea4f1c">stan::math::accumulator&lt; T &gt;</a>
+</li>
+<li>~chainable_alloc()
+: <a class="el" href="classstan_1_1math_1_1chainable__alloc.html#aaca3bd4f138cfd11f43e984c241463ce">stan::math::chainable_alloc</a>
+</li>
+<li>~gevv_vvv_vari()
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a1d061a4dc39e882750c673965e0d7be5">stan::math::gevv_vvv_vari</a>
+</li>
+<li>~OperandsAndPartials()
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a381ae87f6867b7cf252f48f47b61936c">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>~stack_alloc()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#a946367b4b88dd893103db604c5f23669">stan::math::stack_alloc</a>
+</li>
+<li>~vari()
+: <a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">stan::math::vari</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="dynsections.js"></script>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
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+      </li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
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+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li class="current"><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_g"></a>- g -</h3><ul>
+<li>gevv_vvv_vari()
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#af573bcde4dada4aa9bc27fd9dfcff9c9">stan::math::gevv_vvv_vari</a>
+</li>
+<li>grad()
+: <a class="el" href="classstan_1_1math_1_1var.html#afd46b70001b3e7d5de80a2883ba71fae">stan::math::var</a>
+</li>
+<li>gradients_
+: <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#ab1b2c58490560a34da96fee3d4057620">stan::math::precomputed_gradients_vari</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
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+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
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+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li class="current"><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
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+</div><!-- top -->
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+
+<h3><a class="anchor" id="index_h"></a>- h -</h3><ul>
+<li>has_denorm
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a96150abba41617a326d932898f40a271">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
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+</li>
+<li>has_quiet_NaN
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a8e45cb7bac1df9211bedbe9fb7463762">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
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+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1638acb74a052c73f6f967df41b48616">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a192d5e3131211bc8d64187c98fb791e4">std::numeric_limits&lt; stan::math::var &gt;</a>
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+<li>HasFloatingPoint
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a331e8b0d5aeefe0c3d552cddade41ae3">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a725304337ba652873babd17b350f8cdc">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+<li>highest()
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1412b5d850985532c6901671a1e83996">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a836253452e51c2bd07cf9f86baadc52e">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
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+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li class="current"><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>infinity()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#afb373d33a5d27f12cc75f8655207fd6b">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a124f44266afc97648e4d3cb9f1379090">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>init_dependent()
+: <a class="el" href="classstan_1_1math_1_1vari.html#a5f18458dab300f020b4546d046fa0183">stan::math::vari</a>
+</li>
+<li>initial_state()
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ed6425673c2af35796dcb8ec69b78a2">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a3e039bc430a91652cfa3a25ea104c876">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a90f14fa30557743ca18115488de7f59e">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aa338d8c630209cd7d8d98334acfa03ba">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>inverse()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a5b44e5dd48e3e8b8dbc4bc7a37b64d86">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>is_bounded
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ab5deb46224220ecfb8a9376482c9e8ac">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ae161cee3b942d452a926a36aec60f299">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_exact
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a90261feaf68874a9040f1d6154cb07d8">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a4ac573b4bf27192ba455fd19e227f9a8">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_iec559
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a14d89ae2412cdc6332ef210bde59f6b6">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a6bd55581d326ebf3ed6a1c496db0b9e0">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_integer
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aea8d495294cc702f7a01231a1dac200d">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a77274abe077c86132768f758f855d4de">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_modulo
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a32a765f274b13b613d32ba4d134c4744">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#adf7187f7525889c004c4f82c2ce732df">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_signed
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#af3bbfcf12af3e66ff24ce68db3bcc1e7">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a63ac9208e3acc5ca9bcdba7e5f56765e">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_specialized
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a59a2dde71269caf7efeb7152be6ce533">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#acd76962ff1fcc794becaaf166d8680a6">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_uninitialized()
+: <a class="el" href="classstan_1_1math_1_1var.html#a255e54d15bd3bda71d3e86ce19bc40ce">stan::math::var</a>
+</li>
+<li>IsComplex
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a927bbae55331d3b6f7cb4c78a5fad146">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a9138c6bf5ace7c298c0c3a65d2c4e505">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+<li>IsInteger
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a274287a3cdae5ae4d48890ae91d32b4b">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634adc43be51c2a6f27df544131c7c87ea00">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+<li>IsSigned
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a0bc04ee5f79e5accb84c3ae8b03f2fbc">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a7aa15fd85e5ac1c996ce5ddefa802df0">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="search/searchdata.js"></script>
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
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+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li class="current"><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_j"></a>- j -</h3><ul>
+<li>jacobian()
+: <a class="el" href="classstan_1_1math_1_1ode__system.html#a449c35dbebd10583051e37e59aa130e4">stan::math::ode_system&lt; F &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="search/searchdata.js"></script>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li class="current"><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+</div>
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
+<li>LDLT_alloc()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a5fc32fdc53e7e4c25fdb0343202f1280">stan::math::LDLT_alloc&lt; R, C &gt;</a>
+</li>
+<li>LDLT_factor()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ade86bbc6c4946e8c2ae0a5e64448bb0c">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#acd8fab9a85153322a4b00d8fbf00d7f8">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>length_
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a3162ad4ae0b41adf5d342af16e51bad2">stan::math::gevv_vvv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1sum__v__vari.html#af6d64dee35e248318e7335b4483157c0">stan::math::sum_v_vari</a>
+</li>
+<li>LhsScalar
+: <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af233aa7390c24235fde858856935742f">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a99d7c59e9613a370e216a928363ea478">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a>
+</li>
+<li>LhsStorageOrder
+: <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#a7b9c7954ebed92cd80e28eb22534c328ab6ed44d480d1676361b8e83d84ffcd6b">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a8b09fce12734b3fb7b6387e5d734e31daf762d20d9febc6f049653e647bc07bc3">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a>
+</li>
+<li>log_abs_det()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#ab5039b38ec6d0cf6fb6ef49f4d837ce3">stan::math::LDLT_alloc&lt; R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a4762da221ad734ac0d1572df6a16de9c">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>lowest()
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aaf7446de33e7a3e5f21b4548ccaf5c7a">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a4888e98688ab32e913800888a9fe04dc">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
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+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li class="current"><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>M_
+: <a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a79f912f6bd3f5fe607c1da2f496dc546">stan::math::cholesky_decompose_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab206f6625b21a054d90fa17e07b54c0e">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ace943e49e8e81900dba84aa7ad248e1d">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#abd51105f9c70eaa4e41604db57814b5d">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#abcd5c75ee971a0346ce26db1fb99d8f2">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>matrix_t
+: <a class="el" href="classstan_1_1_vector_view_mvt.html#a2c3d0382bf37405f20e83adec38db42e">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a>
+</li>
+<li>matrixLDLT()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a3b6f930baacb4fb2ecca1acf8d104ffb">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>max()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a54b8e07a42d555f9783640b49428da2c">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a7ac4e8fcb64946415100aa2ff28799ee">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>max_exponent
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1537bd90d3b2f97e27229e0c219d0807">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a4d417e7f57df3e7866b33e606b7a67c4">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>max_exponent10
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a582122c752ff0b7505c495a5ed7c315b">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a314c4f743a150c8d335692086c6ca564">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>memalloc_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>min()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1f98885d72104f524c0cbccbd7ac3152">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a8d71ee2cb09cc89fbc145616d5123f80">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>min_exponent
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#abe6b4be3af27ba2fa504246bc080c9d6">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ac5b86cfb9a7c727c9acecc63d1846f88">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>min_exponent10
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a18d66a0fb3aedba11174e9dddf46e64a">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a3b2ecdc49b475fd7c29e5db504e93993">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>msgs_
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a9d0ef30c3aeabb040639ffd88416c029">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a1d598b9ae88d390a54ed701bc9752999">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a1a1ce668b29fbe51a12c7af59aad2db4">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a06205d852a2e980e30107a290f9e5876">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>MulCost
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258af070b8b29b40c7b0d09de7e7ee843f62">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a7a31da528ea371cfe78010d1f09b2130">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/functions_n.html b/doc/api/html/functions_n.html
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--- /dev/null
+++ b/doc/api/html/functions_n.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
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+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
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+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
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+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
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+      </li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li class="current"><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>n_
+: <a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#ad24f4f0e485caa6ca0f4f149624c5109">stan::math::coupled_ode_observer</a>
+</li>
+<li>N_
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a0d185dcf6b1320ee8d2623c9769b9be2">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac2046745fac3341408eb20d04fbd8340">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa6c3adcb5d16141d88f7c59f57794980">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a27a807c37bfbd4c8f0b9fd8674c26d51">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a80ff851844006a74407e5958b1aa41a8">stan::math::LDLT_alloc&lt; R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#af6c64c2f48290202674bc63736abf0d9">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>n_partials
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acd3e29411cbc4f04ff8a02d2d4c4ceb9">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>Nested
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac1d414db60208827e11bf100a6f5fa49">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a77e37676bb3d1900f8a49c159cd330db">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+<li>nested_var_alloc_stack_starts_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a86825610c9b89e0635a1efe420fb502c">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>nested_var_nochain_stack_sizes_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a15080f06483a3215ce0513e0274db5f5">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>nested_var_stack_sizes_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#aaa52587fef6c965ff959745bedaab58b">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>NonInteger
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aa05b23229e883f730e17b2d853943086">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a34b81621f635c4d8159b8e7f27c31a7e">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+<li>num_samples()
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a2ec375fd25e5d9a0c04b05082632f2fe">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aec56710e92822346d88c9560e89bac31">stan::math::welford_var_estimator</a>
+</li>
+<li>nvaris
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a986e21d6b93419a911b127b1c0b2c340">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/functions_o.html b/doc/api/html/functions_o.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
+        </div>
+      </li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li class="current"><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_o"></a>- o -</h3><ul>
+<li>ode_rhs()
+: <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#af3c1bc1a011996a539a4ee0f21fd771d">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a>
+</li>
+<li>ode_rhs_sens()
+: <a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html#a047195a59d7514745fdec2bf7a18cff6">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a>
+</li>
+<li>ode_system()
+: <a class="el" href="classstan_1_1math_1_1ode__system.html#ae42b354ccbb7a22d64d81e834e6f2701">stan::math::ode_system&lt; F &gt;</a>
+</li>
+<li>op_ddv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#ace53db6f0edb4a841be08a8692d1db68">stan::math::op_ddv_vari</a>
+</li>
+<li>op_dv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__dv__vari.html#a323e4ee6a54cf1beeb8427c1e1b2e844">stan::math::op_dv_vari</a>
+</li>
+<li>op_dvd_vari()
+: <a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#ac81bd4c694f92f8f6bebc20b02571535">stan::math::op_dvd_vari</a>
+</li>
+<li>op_dvv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__dvv__vari.html#a311ec040af4430d5d2ca608ab21c4bd3">stan::math::op_dvv_vari</a>
+</li>
+<li>op_matrix_vari()
+: <a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a38f1c03104b4d76ec79aca62a1d0f66f">stan::math::op_matrix_vari</a>
+</li>
+<li>op_v_vari()
+: <a class="el" href="classstan_1_1math_1_1op__v__vari.html#a9d5d71fd9963d2e5c8bff707127b2380">stan::math::op_v_vari</a>
+</li>
+<li>op_vd_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vd__vari.html#a013c49536757793f7b912c7f1b046111">stan::math::op_vd_vari</a>
+</li>
+<li>op_vdd_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vdd__vari.html#abceb88fe7a28682e996e02e92615a9d1">stan::math::op_vdd_vari</a>
+</li>
+<li>op_vdv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vdv__vari.html#a68c779eb803deaffa3b31f69bfc8b329">stan::math::op_vdv_vari</a>
+</li>
+<li>op_vector_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vector__vari.html#ac291df279dc87ae570666da57c96315c">stan::math::op_vector_vari</a>
+</li>
+<li>op_vv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vv__vari.html#a3dcab4ca1dbd8919683d11d13419278e">stan::math::op_vv_vari</a>
+</li>
+<li>op_vvd_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#a9d05288a55b07c9dedc37436f42fa4b6">stan::math::op_vvd_vari</a>
+</li>
+<li>op_vvv_vari()
+: <a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac1e794e5ed125a3183d00d84d22cb7aa">stan::math::op_vvv_vari</a>
+</li>
+<li>OperandsAndPartials()
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#adf6b7d0ec54cb420870fa5fa2ff3907d">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae71d14e91cd63326881e433fc17ff0b2">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a560eb18fec2ac9cf470108ba4090f190">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>operator delete()
+: <a class="el" href="classstan_1_1math_1_1vari.html#ad061c3e1e9172753fa54d57a9718b10c">stan::math::vari</a>
+</li>
+<li>operator new()
+: <a class="el" href="classstan_1_1math_1_1vari.html#a16101f22e0c7c0fb2aaa7bb79e83f260">stan::math::vari</a>
+</li>
+<li>operator()()
+: <a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#a6c0c4107e1d62a89395e5ee17e5a43c4">stan::math::coupled_ode_observer</a>
+, <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a210cec0472790c60d5956c8266359e9e">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#abaa6f106d429e6bb6b5a4a7947556cc2">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ab3ed90ba43337909ed3a7198a4d070f4">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aaeeda24d0c36ffb66a27144aff0665c1">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1ode__system.html#a4ed68f6ec3399a46f873a08f93025f00">stan::math::ode_system&lt; F &gt;</a>
+</li>
+<li>operator*()
+: <a class="el" href="classstan_1_1math_1_1var.html#a7d48485af46f48f88abf8d8af40738a3">stan::math::var</a>
+</li>
+<li>operator*=()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a9b2feee9256c7d918fc9773ca228283b">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#affbb26eba0c14f42c4d70c98c4b40dae">stan::math::var</a>
+</li>
+<li>operator++()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#ac3d87dc556498952498b6d1c1dcbe204">stan::math::fvar&lt; T &gt;</a>
+</li>
+<li>operator+=()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a2e8ed7892827b43ec62736e8999bafd5">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#a87ea11fd8f1b21c7a79a849886839d54">stan::math::var</a>
+</li>
+<li>operator--()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a08587bd5322f627971294a39b0444bf3">stan::math::fvar&lt; T &gt;</a>
+</li>
+<li>operator-=()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#ab4b948b7db1f825efd3e86acc2f19ec6">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#a8892192fd51894b90e59a213fe02aeb9">stan::math::var</a>
+</li>
+<li>operator-&gt;()
+: <a class="el" href="classstan_1_1math_1_1var.html#acb10b163ad0fbc84829baed06ddda8e7">stan::math::var</a>
+</li>
+<li>operator/=()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a3c292c2e417a54f690fc9f66b4d10ccd">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#aa158a69964d0f86042daa3e279ecff3f">stan::math::var</a>
+</li>
+<li>operator&lt;&lt;
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a2225724f72699f1d59e9aecc1b98f2b4">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#a3545860122fa159c57e23dd0fbfbf5cd">stan::math::var</a>
+, <a class="el" href="classstan_1_1math_1_1vari.html#abd24d4e4eb6b0c65c8447bd2cc73b200">stan::math::vari</a>
+</li>
+<li>operator[]()
+: <a class="el" href="classstan_1_1math_1_1container__view.html#a7ed8e00a52b48d1ba3ebbc4fa38e11ce">stan::math::container_view&lt; T1, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a19e3e8ef5cb77f25dc82a3da6711d7b8">stan::math::container_view&lt; dummy, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#acfe66b51d58fa11069c5ad4b9efea9ec">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#af2100b835c918d3f7c7bac8d6ec32937">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html#a35cb78b1c79de2b31dbed7b8390fa9aa">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html#a4216d34813cec95c003ba84396fa104d">stan::math::container_view&lt; std::vector&lt; T1 &gt;, T2 &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#aa8857333f18280ecedc008d53cd39315">stan::math::op_matrix_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vector__vari.html#ab928e591879ce7be3edfe498b5c9c4e8">stan::math::op_vector_vari</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view.html#abdd1705b880895c4e32e917fad70fb0b">stan::math::seq_view&lt; T, S &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#a05bbd23ec952656521365f99d575a64c">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#aafd342f1f6f9851fd8f8e3494b36068e">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a6466225a392d75a98f0ae43c5f001820">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#ab45edf39aad64a4093db924b02322af9">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#acfe4d699397a114cabd8d970e569aac6">stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#aa8d34d4dd171acbd81d642aea1b8b61e">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#afe1bd346e72ac6adc53826801a7e54f2">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder.html#adf708a313726a2ae1ba979269ccee104">stan::VectorBuilder&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper.html#a623364e0ee8645a55bb93d3b067bd306">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a195496da4a18cc0cb2d3dc098af401a6">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#af2507b7e73412f828261a9b4e2c28c18">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view.html#aaf0738646ebf8cb80bfd8e74d87670b3">stan::VectorView&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#adfca28e50072e07d54266232fca1271a">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
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+, <a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a3c3691cba50d962132fc75a2b8827ec6">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afbe613678e5454e51431068c7a7511d5">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html#ab1e323a3e4070214b1cf0e1ee64a1076">stan::VectorView&lt; T, false, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#ab52bd4c68618edf57346d39cd3f04642">stan::VectorView&lt; T, is_array, true &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html#a1571c35dd66bce4419afbe4aef871305">stan::VectorView&lt; T, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_mvt.html#a279439cc5038dfd0ea4da7fe58c1f6d0">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af1df7ae176f5dc3acafcb45663ea82a3">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
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+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li class="current"><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>partials_
+: <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a318f47f75b1b24dd3ad5751fa741b6a4">stan::math::stored_gradient_vari</a>
+</li>
+<li>precomp_v_vari()
+: <a class="el" href="classstan_1_1math_1_1precomp__v__vari.html#a0c517d5c59eff9c50c47be525b646a3a">stan::math::precomp_v_vari</a>
+</li>
+<li>precomp_vv_vari()
+: <a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#af33cdfd8e10840954045d5437ea0b521">stan::math::precomp_vv_vari</a>
+</li>
+<li>precomp_vvv_vari()
+: <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#a6d8ea94d167987d3aa4f437079f4f2c0">stan::math::precomp_vvv_vari</a>
+</li>
+<li>precomputed_gradients_vari()
+: <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#afab325fb81b8370a78f3455be5ebdeb6">stan::math::precomputed_gradients_vari</a>
+</li>
+<li>promote()
+: <a class="el" href="structstan_1_1math_1_1promoter.html#ab3df6e7131a09943826d1b995142d7d6">stan::math::promoter&lt; F, T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html#a9964d13b9f2f05efca2b21ac165210d8">stan::math::promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html#a525fc8cb91f5c4c22195cdb004b1eb0f">stan::math::promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a357d5eb63ba812437c51640670cef745">stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#adb1706254fcd6734bf986e2cd01b093f">stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html#ac8db3f3f3410059f5cae51383f1b38c2">stan::math::promoter&lt; T, T &gt;</a>
+</li>
+<li>promote_to()
+: <a class="el" href="structstan_1_1math_1_1promoter.html#a892e350b17a5930b9de4a9ff05eddc39">stan::math::promoter&lt; F, T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html#a68d5ee667d0706baf7dd52f08f6a87fd">stan::math::promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html#a9ff5ceffa5a1a568b750eb2f676d1da9">stan::math::promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a3da744179c9bbe7fe2ac326a4dcba352">stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a099437577ccd004d58c5b2ee3e5acf06">stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html#a108a1ffe4c0560f0c0b384270ea801f1">stan::math::promoter&lt; T, T &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/functions_q.html b/doc/api/html/functions_q.html
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li class="current"><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_q"></a>- q -</h3><ul>
+<li>quiet_NaN()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a57076162eb3f395ddf9f475776bc45f4">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a3fbd271621effc1cd6c5ba6529f88ec9">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+               onmouseout="return searchBox.OnSearchSelectHide()"
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li class="current"><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
+<li>radix
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a587890d74b771c8540cee2cd2d7034ab">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#aa9ba12ebfa66d3e08f8d215b1113c818">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>ReadCost
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258ac32ba519bab5db01a8b5cd1a4d892c0d">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a9dd6c69861224ab22c6513bfc95f8dac">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+<li>Real
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+<li>recover_all()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#af298b06ae054599532498a1ccff4caeb">stan::math::stack_alloc</a>
+</li>
+<li>recover_nested()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#a9e7184bae2a2082fa7f683723379af7b">stan::math::stack_alloc</a>
+</li>
+<li>RequireInitialization
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a9755aac49dbaa87c3a448219f225d903">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634aaf0cb8ae61102886fd8979a5e0adf442">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+<li>ResScalar
+: <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a9cfc2802da5013680db2b43c371602f2">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#a8897ce7e26ba6a8e5a6de5faddf521cb">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#aef94ec4f1ef3a0dd1845874a4cfbbaa7">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a>
+</li>
+<li>restart()
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a93b3b515ae3114705517faf174d72205">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#a8fe05482776782589809b802b12c1ce8">stan::math::welford_var_estimator</a>
+</li>
+<li>return_t
+: <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">stan::math::apply_scalar_unary&lt; F, T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a43606ccbf343a056c5f7c0c4779e80ab">stan::math::apply_scalar_unary&lt; F, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#a893ad35b32c248a8fc19b70229f19aaa">stan::math::apply_scalar_unary&lt; F, int &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac2d8840f678c586a3055f4609c9bbcf4">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#a370c4c6e3b16789d8fd9ab98f98af3e7">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;</a>
+</li>
+<li>ReturnType
+: <a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html#a0fec89098be1ad8d0b1b974eb804b6a9">Eigen::internal::scalar_product_traits&lt; double, stan::math::var &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html#abf081b5561d2b25d3ecfed025259858d">Eigen::internal::scalar_product_traits&lt; stan::math::var, double &gt;</a>
+</li>
+<li>RhsScalar
+: <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a0e0d73e4f0b4b52372a962a513896bfe">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a>
+</li>
+<li>round_error()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a04ab86a7f52d6cb23211b7db997843cf">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ac3591cae0c363bded19db83484c03d9e">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>round_style
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a17d98bdb7219aae14eb990e0e1272a75">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#aabc7fd25500e1560deb8839cb1ee7225">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>rows()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac71a0527f0d5cddaad94fe39b6d6df32">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a1d7602fffede73ed7f9d54d480299491">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>run()
+: <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a808d61f0706efe113aebca78c4b27982">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#ad408d758d5b0c1732f4f88a0a4784b78">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a838f3f363697ce818a0d9bd0c8975316">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html#a9836117e79b68d6d362a4b775195e6b4">Eigen::internal::significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html#aa8848c328f6a9e8262497de032911cac">Eigen::internal::significant_decimals_default_impl&lt; stan::math::var, false &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/functions_rela.html b/doc/api/html/functions_rela.html
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members - Related Functions</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
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+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+          </span>
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li class="current"><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+</div>
+
+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;<ul>
+<li>operator&lt;&lt;
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a2225724f72699f1d59e9aecc1b98f2b4">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#a3545860122fa159c57e23dd0fbfbf5cd">stan::math::var</a>
+, <a class="el" href="classstan_1_1math_1_1vari.html#abd24d4e4eb6b0c65c8447bd2cc73b200">stan::math::vari</a>
+</li>
+<li>var
+: <a class="el" href="classstan_1_1math_1_1vari.html#afc150fe027cd12dd501a9d615a787f19">stan::math::vari</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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--- /dev/null
+++ b/doc/api/html/functions_s.html
@@ -0,0 +1,255 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Class Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="search/searchdata.js"></script>
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+</script>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>sample_covariance()
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a7d3a664aac837b2448ee6e51b570616a">stan::math::welford_covar_estimator</a>
+</li>
+<li>sample_mean()
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#ab032fe95b45062bd6b7316810508b50d">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aeee360036653a776666878188a4a15a0">stan::math::welford_var_estimator</a>
+</li>
+<li>sample_variance()
+: <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#a9dcda25a6b3ee85b207fb2b4975faa08">stan::math::welford_var_estimator</a>
+</li>
+<li>Scalar
+: <a class="el" href="classstan_1_1math_1_1var.html#a14e688944f813cad7d31888dbe2854a9">stan::math::var</a>
+</li>
+<li>scalar_t
+: <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a047c1d2e14f8d0e8ada832eae7d89241">stan::math::apply_scalar_unary&lt; F, T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">stan::math::container_view&lt; dummy, T2 &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view.html#a06b2274769a1633467873f763d6d37b6">stan::VectorView&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a909a17d555fcd8422a05fba133e0769d">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afa365ca621bbf40cffac55954615d253">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a56d57628070d7159afd6f966ed49ebab">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a32896ea25017adc3fbe970f572192427">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html#a9595f94fa5669362402a6512b101c4f7">stan::VectorView&lt; T, false, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#a297c41bca6732127a96566f9508186a1">stan::VectorView&lt; T, is_array, true &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html#a93b75ae55bc7dc1ff7e7b59a36098f34">stan::VectorView&lt; T, true, false &gt;</a>
+</li>
+<li>seq_view()
+: <a class="el" href="classstan_1_1math_1_1seq__view.html#a0c10cc8d25cff8c90c8bbecf3cd054a1">stan::math::seq_view&lt; T, S &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#ad82423565c559cd4e889350bc204319b">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a57ab58ed09da14b8efcf83b9d1528b88">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#ae570c324a14b81a018475195a77e4430">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a706e3bea5d58f77fd9d6d427e64aa370">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a42ff5c63f8f83390fc7c585b41c0d5ed">stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#ac35e60cb3f9e9f4dde81b8ed3b532a2b">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#a2e9627b1092238710ed116adc7c1cab5">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;</a>
+</li>
+<li>set_zero_adjoint()
+: <a class="el" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">stan::math::vari</a>
+</li>
+<li>signaling_NaN()
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1f778384d98f2aeb1d4338ed4fb01c89">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#abe18cd7f77ecf062347231ef1193d404">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>size()
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a14cbf2d4763907cc2eb21b0465b793c4">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#acec587a37d9168a46a1ddd44c651dcd4">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada6e883cd3d290c2cf77df7a1c6940dc">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a1ff2fd5ed7f65a31079b8ad3fa931bda">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a35e94de2a37b83f8a1866fd57709be4b">stan::math::op_matrix_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vector__vari.html#a5e236b4bc3c9f0156532846d31f45c6f">stan::math::op_vector_vari</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view.html#ab20467423ddb3b3e45513abb8e4a21d3">stan::math::seq_view&lt; T, S &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#af56447dd766a3a5a9d6c97b0a2de9563">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a8c830a8c9c9c431a71a89cf4b996b27e">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a3284abfb2471ad555d43a8693658c5ec">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a07185ddaf17963a5724ddc2c62208922">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a3a6031049d11ce5429727dcbe5e29130">stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#ab81a7a5c2de89631c7aec2ab701854a1">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#a3f616444293b86fdb17272494c88cc4c">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;</a>
+</li>
+<li>size_
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#afd3671c1829990365904ed3d60d9d82d">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a072fc6585021385a59831dfef70c8fa1">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a26ef004ef67b43c6df80664bd3453108">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a98451e6ddfb64254c8bfbc6a6f4055a9">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a89c5c533bea6db8bca39202531f38348">stan::math::op_matrix_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vector__vari.html#af182cd25bf9c00f21155fd1e1b9bc64b">stan::math::op_vector_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#a785ccdd15f3d34aad96351dbfc2131a8">stan::math::precomputed_gradients_vari</a>
+, <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#aae7ebe863ce4f2544b1443d50c456a53">stan::math::stored_gradient_vari</a>
+</li>
+<li>size_of()
+: <a class="el" href="structstan_1_1size__of__helper.html#a8f7056983b7948acf66a2e8b3e37e855">stan::size_of_helper&lt; T, is_vec &gt;</a>
+, <a class="el" href="structstan_1_1size__of__helper_3_01_t_00_01true_01_4.html#af0810fc0270af209916e67d5defe4b7d">stan::size_of_helper&lt; T, true &gt;</a>
+</li>
+<li>size_type
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ab38a23d055a57197a720a66c7b089339">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#ab41da7a836a010a762494c84270edd23">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>solve()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a10f45f6aab48c0ffc6b4d0ad0e6c19b9">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0687e6e28885a9c5d0d14bc94cd41d01">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>solveRight()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2e05d02dd6e5bb010b14d1fdc71cea64">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>stack_alloc()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#a6008eaa183ed07fb744799103926baac">stan::math::stack_alloc</a>
+</li>
+<li>start_nested()
+: <a class="el" href="classstan_1_1math_1_1stack__alloc.html#abdba5f8d013107c6a37f75e186bd6dfc">stan::math::stack_alloc</a>
+</li>
+<li>stored_gradient_vari()
+: <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a9732c6c4334aea5e617476018e6ca4a5">stan::math::stored_gradient_vari</a>
+</li>
+<li>success()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a3ed28e459ba5ce68d97daf4eb0cc780e">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a22f6b503fe331aeeac5368b1f10eac0d">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>sum()
+: <a class="el" href="classstan_1_1math_1_1accumulator.html#ad24d63f81d6c3028abc73e102c60edf8">stan::math::accumulator&lt; T &gt;</a>
+</li>
+<li>sum_eigen_v_vari()
+: <a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html#a17ea145d6335dc9a5aabe3f02c572e96">stan::math::sum_eigen_v_vari</a>
+</li>
+<li>sum_of_val()
+: <a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html#a4511b6d534c5adefb3bdf87fae8a87e6">stan::math::sum_eigen_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a4d9b8faedd6e0dcde4cbad57ebba2b11">stan::math::sum_v_vari</a>
+</li>
+<li>sum_v_vari()
+: <a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a40d6b74038464b3734839e6df9077681">stan::math::sum_v_vari</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
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+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
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+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
+          </span>
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+      </li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li class="current"><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>T_return_type
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a11df2759b74191311e15902d40236668">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>tangent()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a77961c425581e421a7fa441a7812d468">stan::math::fvar&lt; T &gt;</a>
+</li>
+<li>theta_
+: <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa83bd4b43f18e3173da624b4955da369">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a25abbeca623eef4288f891dad5f9aef4">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>theta_dbl_
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ea7d3c67d117c7a1c261fd1c4bb624a">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a8ed7492f88159d09d0821e2733f7251b">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a4c5d0452b3d0655d86139a2a7cce6a13">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae43208e9fea0c6f456f1e28611109ac8">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>tinyness_before
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a8363f29d87fc5d3d73671d8392c812c5">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a872009df91ab9e948f8d9a6b4fb79a2d">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>traps
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aacb06d8d52956389bba88fc0196f4d7e">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ace9fa9c8c667f38d1c1fac08354c7f9c">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>type
+: <a class="el" href="structstan_1_1is__vector.html#a5384dc7751d6efdfd7b7bd9ccc442ca2">stan::is_vector&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1is__vector_3_01const_01_t_01_4.html#a438013ddac03fc30456a132b069b6db7">stan::is_vector&lt; const T &gt;</a>
+, <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html#a7e97f9578f2d4c2ffe59e6f6a92012a8">stan::is_vector&lt; Eigen::Block&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a07a4e818504882fb191b9d3a5ba6677a">stan::is_vector&lt; Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#ab0c2ebfaeaf2d18b25665573a01dab1e">stan::is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1is__vector_3_01std_1_1vector_3_01_t_01_4_01_4.html#aefecb429647f6ad44faa02cb233050da">stan::is_vector&lt; std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1child__type.html#a0d005efbf96c2a27150943452b30a6f9">stan::math::child_type&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4.html#a641ba0032fa0a71e7216cef157e7d831">stan::math::child_type&lt; T_struct&lt; T_child &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1common__type.html#a79e549f9ee143c7d5bec69a89aaa685f">stan::math::common_type&lt; T1, T2 &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html#a1dfda8432ea5cb2fd29673a00f23d9ab">stan::math::common_type&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1common__type_3_01std_1_1vector_3_01_t1_01_4_00_01std_1_1vector_3_01_t2_01_4_01_4.html#a3d85f74a9e814b33da63154c2c42831a">stan::math::common_type&lt; std::vector&lt; T1 &gt;, std::vector&lt; T2 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html#a7967da72eaf9cec3dafcbeb8214ec209">stan::math::index_type&lt; const T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a24d56619b29f61d9addb42dd8df1cdf1">stan::math::index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#ababf4dcdf4c61050637f7a5efc94429c">stan::math::index_type&lt; std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1pass__type.html#aaf902ad0b26acab6888195ed0b528ec5">stan::math::pass_type&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1pass__type_3_01double_01_4.html#adee94e36436cf8e5628e961330047738">stan::math::pass_type&lt; double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1pass__type_3_01int_01_4.html#a6e1bfc775f016451ab261ecede07402c">stan::math::pass_type&lt; int &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html#a171ea87ee9f5562b17a34f59aaf5236d">stan::math::promote_scalar_type&lt; T, S &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a73857fd39b6e343018a3bda40b7dc579">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html#a660544aceefabb31ef4bbd090b6b1959">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic,                                                                                                                                                                                                                                                                                                                                                                           Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a8b40b9d3384f079cb045ab61a8c6ac73">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a5b7882075346e87e0765625eac15c615">stan::math::promote_scalar_type&lt; T, std::vector&lt; S &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1store__type.html#a4911dad4e7692aae90f6a93466a3e88b">stan::math::store_type&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1store__type_3_01double_01_4.html#a36449fc098f0ee60b5e078771f5395e8">stan::math::store_type&lt; double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1store__type_3_01int_01_4.html#aa10e456268690936392e9ea31e24645f">stan::math::store_type&lt; int &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4.html#a9f80906cfc8184d851acc6791a4c3443">stan::math::value_type&lt; const T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1value__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a269815862773362350279d4b0317e7e7">stan::math::value_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#a98df9e1c73f191ad704b8e37a6a1ea23">stan::math::value_type&lt; std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt; T1, T2, T3, T4, T5, T6 &gt;</a>
+, <a class="el" href="structstan_1_1partials__type.html#aa407532a83bdc09a2167858e5612b300">stan::partials_type&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1partials__type_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#af8a313bf6a2791e160112bda56d44288">stan::partials_type&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4.html#a3c2760c483a6ad308e2f340fe934d51d">stan::partials_type&lt; stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type&lt; T1, T2, T3, T4, T5, T6 &gt;</a>
+, <a class="el" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">stan::scalar_type&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a3cbf7ba7c3d16da948863b3180075b36">stan::scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="structstan_1_1scalar__type_3_01_t_01_5_01_4.html#a38f00242ece28298968a43f30508c940">stan::scalar_type&lt; T * &gt;</a>
+, <a class="el" href="structstan_1_1scalar__type__pre.html#a04ba454b3b528f4697c036d2bb19a8a1">stan::scalar_type_pre&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper.html#a3eb1071a059568704d78f49a9afc9aad">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a3bd67fa1f3f3698141f63e73541bcc12">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#aea989a6bfba0d983ae6839696c82a660">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
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+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li class="current"><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="#index_l"><span>l</span></a></li>
+      <li><a href="#index_m"><span>m</span></a></li>
+      <li><a href="#index_n"><span>n</span></a></li>
+      <li><a href="#index_r"><span>r</span></a></li>
+      <li><a href="#index_s"><span>s</span></a></li>
+      <li><a href="#index_t"><span>t</span></a></li>
+      <li class="current"><a href="#index_v"><span>v</span></a></li>
+    </ul>
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+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
+<li>LhsScalar
+: <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af233aa7390c24235fde858856935742f">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a99d7c59e9613a370e216a928363ea478">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>matrix_t
+: <a class="el" href="classstan_1_1_vector_view_mvt.html#a2c3d0382bf37405f20e83adec38db42e">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#af2e32ce2c7cafcf155a77b88eae07d65">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>Nested
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac1d414db60208827e11bf100a6f5fa49">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a77e37676bb3d1900f8a49c159cd330db">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+<li>NonInteger
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aa05b23229e883f730e17b2d853943086">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a34b81621f635c4d8159b8e7f27c31a7e">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
+<li>Real
+: <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Eigen::NumTraits&lt; stan::math::var &gt;</a>
+</li>
+<li>ResScalar
+: <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a9cfc2802da5013680db2b43c371602f2">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#a8897ce7e26ba6a8e5a6de5faddf521cb">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#aef94ec4f1ef3a0dd1845874a4cfbbaa7">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a>
+</li>
+<li>return_t
+: <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">stan::math::apply_scalar_unary&lt; F, T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a43606ccbf343a056c5f7c0c4779e80ab">stan::math::apply_scalar_unary&lt; F, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#a893ad35b32c248a8fc19b70229f19aaa">stan::math::apply_scalar_unary&lt; F, int &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac2d8840f678c586a3055f4609c9bbcf4">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#a370c4c6e3b16789d8fd9ab98f98af3e7">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;</a>
+</li>
+<li>ReturnType
+: <a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html#a0fec89098be1ad8d0b1b974eb804b6a9">Eigen::internal::scalar_product_traits&lt; double, stan::math::var &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html#abf081b5561d2b25d3ecfed025259858d">Eigen::internal::scalar_product_traits&lt; stan::math::var, double &gt;</a>
+</li>
+<li>RhsScalar
+: <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a>
+, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a0e0d73e4f0b4b52372a962a513896bfe">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>Scalar
+: <a class="el" href="classstan_1_1math_1_1var.html#a14e688944f813cad7d31888dbe2854a9">stan::math::var</a>
+</li>
+<li>scalar_t
+: <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a047c1d2e14f8d0e8ada832eae7d89241">stan::math::apply_scalar_unary&lt; F, T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">stan::math::container_view&lt; dummy, T2 &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view.html#a06b2274769a1633467873f763d6d37b6">stan::VectorView&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a909a17d555fcd8422a05fba133e0769d">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#afa365ca621bbf40cffac55954615d253">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a56d57628070d7159afd6f966ed49ebab">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a32896ea25017adc3fbe970f572192427">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html#a9595f94fa5669362402a6512b101c4f7">stan::VectorView&lt; T, false, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#a297c41bca6732127a96566f9508186a1">stan::VectorView&lt; T, is_array, true &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html#a93b75ae55bc7dc1ff7e7b59a36098f34">stan::VectorView&lt; T, true, false &gt;</a>
+</li>
+<li>size_type
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ab38a23d055a57197a720a66c7b089339">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#ab41da7a836a010a762494c84270edd23">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>T_return_type
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a11df2759b74191311e15902d40236668">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>type
+: <a class="el" href="structstan_1_1is__vector.html#a5384dc7751d6efdfd7b7bd9ccc442ca2">stan::is_vector&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1is__vector_3_01const_01_t_01_4.html#a438013ddac03fc30456a132b069b6db7">stan::is_vector&lt; const T &gt;</a>
+, <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html#a7e97f9578f2d4c2ffe59e6f6a92012a8">stan::is_vector&lt; Eigen::Block&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a07a4e818504882fb191b9d3a5ba6677a">stan::is_vector&lt; Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#ab0c2ebfaeaf2d18b25665573a01dab1e">stan::is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1is__vector_3_01std_1_1vector_3_01_t_01_4_01_4.html#aefecb429647f6ad44faa02cb233050da">stan::is_vector&lt; std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1child__type.html#a0d005efbf96c2a27150943452b30a6f9">stan::math::child_type&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4.html#a641ba0032fa0a71e7216cef157e7d831">stan::math::child_type&lt; T_struct&lt; T_child &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1common__type.html#a79e549f9ee143c7d5bec69a89aaa685f">stan::math::common_type&lt; T1, T2 &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html#a1dfda8432ea5cb2fd29673a00f23d9ab">stan::math::common_type&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1common__type_3_01std_1_1vector_3_01_t1_01_4_00_01std_1_1vector_3_01_t2_01_4_01_4.html#a3d85f74a9e814b33da63154c2c42831a">stan::math::common_type&lt; std::vector&lt; T1 &gt;, std::vector&lt; T2 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html#a7967da72eaf9cec3dafcbeb8214ec209">stan::math::index_type&lt; const T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a24d56619b29f61d9addb42dd8df1cdf1">stan::math::index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#ababf4dcdf4c61050637f7a5efc94429c">stan::math::index_type&lt; std::vector&lt; T &gt; &gt;</a>
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+, <a class="el" href="structstan_1_1math_1_1pass__type_3_01double_01_4.html#adee94e36436cf8e5628e961330047738">stan::math::pass_type&lt; double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1pass__type_3_01int_01_4.html#a6e1bfc775f016451ab261ecede07402c">stan::math::pass_type&lt; int &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html#a171ea87ee9f5562b17a34f59aaf5236d">stan::math::promote_scalar_type&lt; T, S &gt;</a>
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+, <a class="el" href="structstan_1_1math_1_1store__type.html#a4911dad4e7692aae90f6a93466a3e88b">stan::math::store_type&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1store__type_3_01double_01_4.html#a36449fc098f0ee60b5e078771f5395e8">stan::math::store_type&lt; double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1store__type_3_01int_01_4.html#aa10e456268690936392e9ea31e24645f">stan::math::store_type&lt; int &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4.html#a9f80906cfc8184d851acc6791a4c3443">stan::math::value_type&lt; const T &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1value__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a269815862773362350279d4b0317e7e7">stan::math::value_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a>
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+, <a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt; T1, T2, T3, T4, T5, T6 &gt;</a>
+, <a class="el" href="structstan_1_1partials__type.html#aa407532a83bdc09a2167858e5612b300">stan::partials_type&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1partials__type_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#af8a313bf6a2791e160112bda56d44288">stan::partials_type&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4.html#a3c2760c483a6ad308e2f340fe934d51d">stan::partials_type&lt; stan::math::var &gt;</a>
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+, <a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a3cbf7ba7c3d16da948863b3180075b36">stan::scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>
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+, <a class="el" href="structstan_1_1scalar__type__pre.html#a04ba454b3b528f4697c036d2bb19a8a1">stan::scalar_type_pre&lt; T &gt;</a>
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+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>value_type
+: <a class="el" href="structstan_1_1math_1_1fvar.html#ad8078e30a3897fdf9988f8a96bba3704">stan::math::fvar&lt; T &gt;</a>
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+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2ef573d4866782c4bdcd33865bea11f1">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
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+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
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+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li class="current"><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
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+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>v1_
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a1b8223780565cab9a3d95dd0bb199b90">stan::math::gevv_vvv_vari</a>
+</li>
+<li>v2_
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a3cfca671d85ffed899debb9730235dbd">stan::math::gevv_vvv_vari</a>
+</li>
+<li>v_
+: <a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a02ca46a8d2ffc591718513c98c09c9b6">stan::math::sum_v_vari</a>
+</li>
+<li>val()
+: <a class="el" href="structstan_1_1math_1_1fvar.html#aebf2b1ad415c5f68d5b4c7a94384e3fc">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">stan::math::var</a>
+</li>
+<li>val_
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">stan::math::vari</a>
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+<li>value
+: <a class="el" href="structstan_1_1contains__fvar.html#ad9569a024e127cb8461794ed2ace7a93a5a1eddf5b1539585920063fb6cd6835b">stan::contains_fvar&lt; T1, T2, T3, T4, T5, T6 &gt;</a>
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+, <a class="el" href="structstan_1_1contains__vector.html#ac4ba729042b3d88ab1cd17c07922dcbaa0ab5ee57c23533e870bb22a79156e66b">stan::contains_vector&lt; T1, T2, T3, T4, T5, T6 &gt;</a>
+, <a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index</a>
+, <a class="el" href="structstan_1_1is__constant.html#acb66e5a01cac801cc2a42f4d643cf391aecafc97e964e672dd93bcb490a0a1811">stan::is_constant&lt; T &gt;</a>
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+, <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#af8e2760e09feb5d51a93395a6373d479a75a67f94582ddd21b4956e5540578114">stan::is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;</a>
+, <a class="el" href="structstan_1_1is__vector_3_01std_1_1vector_3_01_t_01_4_01_4.html#acd33d907cfa48ea1e20b84c85a10ea9ba8669507d2c0cf8d2013fa55cbc040690">stan::is_vector&lt; std::vector&lt; T &gt; &gt;</a>
+, <a class="el" href="structstan_1_1is__vector__like.html#a7c347bcea8f5aa2e059c878a774e939ea2113100a63bb957b1ada362a39a22213">stan::is_vector_like&lt; T &gt;</a>
+, <a class="el" href="structstan_1_1is__vector__like_3_01const_01_t_01_4.html#accc6af134d2e9eab199da085ad3e87e3ab859ca004282bbe79a5eeda7238d86da">stan::is_vector_like&lt; const T &gt;</a>
+, <a class="el" href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a3850e987651782233f7acfd2c360e5cdacc3bb708be577474e9cd1e11ad5a4ba1">stan::is_vector_like&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>
+, <a class="el" href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html#ac9241b4f77efad2fc0dd173a4ec0f367a50f6d9fb5990e3e623e6e02458926009">stan::is_vector_like&lt; T * &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1include__summand.html#a4939e99ce237b48d484d456109de6a91a0a929ac9c4eba12a434fa5b035093df9">stan::math::include_summand&lt; propto, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10 &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aeb8fad2b3e145dcd7538141e3090990e">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a179205c5cd9e947d7d1fe69d4860da47">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>value_type
+: <a class="el" href="structstan_1_1math_1_1fvar.html#ad8078e30a3897fdf9988f8a96bba3704">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#afd02ee536695f8d22fc5f43add1383d4">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2ef573d4866782c4bdcd33865bea11f1">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>var()
+: <a class="el" href="classstan_1_1math_1_1var.html#a55ae61a2ae50220be00395aea1c51bfa">stan::math::var</a>
+, <a class="el" href="classstan_1_1math_1_1vari.html#afc150fe027cd12dd501a9d615a787f19">stan::math::vari</a>
+</li>
+<li>var_alloc_stack_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a4e95a60d3e2d215f4f8020e6ce2f03d8">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>var_nochain_stack_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#ac281684e398a6a4cedcf7c4e75eeb2f1">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>var_stack_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a3ee9208d01fab7f0d6b3d3fd6f186435">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>vari()
+: <a class="el" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">stan::math::vari</a>
+</li>
+<li>variRefA_
+: <a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#acd3834b8b6dd6cfa3b799cac9e7739fc">stan::math::cholesky_decompose_v_vari</a>
+</li>
+<li>variRefL_
+: <a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a733ded3d060d5d780c73a05b6f1402df">stan::math::cholesky_decompose_v_vari</a>
+</li>
+<li>varis_
+: <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#aedb6cbfaa40f6882efda15856d4c7d0a">stan::math::precomputed_gradients_vari</a>
+</li>
+<li>VectorBuilder()
+: <a class="el" href="classstan_1_1_vector_builder.html#a259630f1a916b23c98b664e173892e79">stan::VectorBuilder&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;</a>
+</li>
+<li>VectorBuilderHelper()
+: <a class="el" href="classstan_1_1_vector_builder_helper.html#abf2194ad2beb0ec7851ad06e7785cded">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html#a6dc945ef3e7661667f69bb82fc9df177">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html#a41c70cddac8238f49b6afde03fe22102">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a>
+</li>
+<li>vectorD()
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac9188aad7bdd50d4031449e7df91f890">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#afdec334e2365f43cdbe5a352cb353e2e">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>VectorView()
+: <a class="el" href="classstan_1_1_vector_view.html#a0b73aaeaa00a8c852f9bbad30eaaa78a">stan::VectorView&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a76f40d98ab7b00cc4cc6c7bd4a538820">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#ad2e1b08ed0622b2446a4629cd7f281a1">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a0e24242d02f220710376c929012daf81">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html#a675c42a2e8eb2944f62c0fe92eb4e661">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html#aacb6a219bf99bb26332cc3a389884e74">stan::VectorView&lt; T, false, false &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html#af468e7f38464787995f35acd722d8851">stan::VectorView&lt; T, is_array, true &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html#a585c55843efa35443ec73138368d88d9">stan::VectorView&lt; T, true, false &gt;</a>
+</li>
+<li>VectorViewMvt()
+: <a class="el" href="classstan_1_1_vector_view_mvt.html#a7e8d6dd9b7067dbf02b7b973806335c0">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</a>
+, <a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html#abf41d99f5c66c8675c68ad2b61ebcc6c">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a>
+</li>
+<li>vi_
+: <a class="el" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var</a>
+</li>
+<li>vis_
+: <a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a81caaf77e84614aada7a27f0984db8cc">stan::math::op_matrix_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vector__vari.html#aa492abe0afa7a4a030bdeed4a8d36f3f">stan::math::op_vector_vari</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li class="current"><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li class="current"><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="#index__"><span>_</span></a></li>
+      <li><a href="#index_a"><span>a</span></a></li>
+      <li><a href="#index_b"><span>b</span></a></li>
+      <li><a href="#index_c"><span>c</span></a></li>
+      <li><a href="#index_d"><span>d</span></a></li>
+      <li><a href="#index_f"><span>f</span></a></li>
+      <li><a href="#index_g"><span>g</span></a></li>
+      <li><a href="#index_h"><span>h</span></a></li>
+      <li><a href="#index_i"><span>i</span></a></li>
+      <li><a href="#index_l"><span>l</span></a></li>
+      <li><a href="#index_m"><span>m</span></a></li>
+      <li><a href="#index_n"><span>n</span></a></li>
+      <li><a href="#index_p"><span>p</span></a></li>
+      <li><a href="#index_r"><span>r</span></a></li>
+      <li><a href="#index_s"><span>s</span></a></li>
+      <li><a href="#index_t"><span>t</span></a></li>
+      <li><a href="#index_v"><span>v</span></a></li>
+      <li><a href="#index_x"><span>x</span></a></li>
+      <li class="current"><a href="#index_y"><span>y</span></a></li>
+    </ul>
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index__"></a>- _ -</h3><ul>
+<li>_alloc
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a26108bbfc96084647517312ce22d11a4">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a>
+</li>
+<li>_ldlt
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a31f5c61c30c291a1d2152783cf85d11f">stan::math::LDLT_alloc&lt; R, C &gt;</a>
+</li>
+<li>_ldltP
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a27b82bfd635b040326895c282e9edb43">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>_m
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a469e4f07d669c1021cfbd5c50db3f290">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">stan::math::welford_var_estimator</a>
+</li>
+<li>_m2
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#aad5f954fb329515cfbd7b3c42c7f08ea">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#a6bf443dd58713599fdfa6dcdd2cede20">stan::math::welford_var_estimator</a>
+</li>
+<li>_num_samples
+: <a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html#a5f7ae37d6344c34adf7ec26359540a49">stan::math::welford_covar_estimator</a>
+, <a class="el" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">stan::math::welford_var_estimator</a>
+</li>
+<li>_variA
+: <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a3b0c5b165c4253d8052147bc416b28ea">stan::math::LDLT_alloc&lt; R, C &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
+<li>a
+: <a class="el" href="classstan_1_1_vector_builder.html#a6bbefa466748a220076744c697f393b6">stan::VectorBuilder&lt; used, T1, T2, T3, T4, T5, T6, T7 &gt;</a>
+</li>
+<li>ad_
+: <a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#a268d419189be0d83b45cbd023d888d79">stan::math::op_ddv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dv__vari.html#a30f5589cb9d3e0ee8a0219316531daee">stan::math::op_dv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#a6f88997d24c47ad9cb0c14cc628f487a">stan::math::op_dvd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dvv__vari.html#acb47ad05b53b828ecc2dc5d23b2e0d75">stan::math::op_dvv_vari</a>
+</li>
+<li>adj_
+: <a class="el" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">stan::math::vari</a>
+</li>
+<li>all_partials
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acfa641023c43838d73d1542e5f8fb972">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ab66e9568baf1aec67e59fbc61244c63f">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>all_varis
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#accdd1f46ef65e394863d057b7bfa9039">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>alpha_
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a8c77333a2a3a85359e417d33291a8b19">stan::math::gevv_vvv_vari</a>
+</li>
+<li>avi_
+: <a class="el" href="classstan_1_1math_1_1op__v__vari.html#a115547abf8f49bc6c524d126ff9965b6">stan::math::op_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vd__vari.html#a00e8ccf1cd732f4f2688bc4248fd700f">stan::math::op_vd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdd__vari.html#a941aebe177838074a9576f3967f0ca42">stan::math::op_vdd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdv__vari.html#aa954e347c9288c85a11bb4306e6ad35b">stan::math::op_vdv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vv__vari.html#a9fcd1e5dacb0fbd015b28c4773071b6d">stan::math::op_vv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#aca07baf5275497bc4b6e2d42148296c9">stan::math::op_vvd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac813cca4e210763164b061732e60d775">stan::math::op_vvv_vari</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
+<li>bd_
+: <a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#ae1d70829103888d1008c8910e4cbff2c">stan::math::op_ddv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vd__vari.html#ae1eaf8ba4cdb63d1f66c4fc2849788fc">stan::math::op_vd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdd__vari.html#aa5107d1c0d8c46a91eac4d6621b963c7">stan::math::op_vdd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdv__vari.html#a8a8d9b43a909c0246d171d6dc65c8379">stan::math::op_vdv_vari</a>
+</li>
+<li>bvi_
+: <a class="el" href="classstan_1_1math_1_1op__dv__vari.html#a2442bb729d0afe617b6c24accae7d10b">stan::math::op_dv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#a57237dc3d1b1c0288fdbad9793ac63c7">stan::math::op_dvd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dvv__vari.html#a16a4bbb74c4dfc664ab8b208352f6a91">stan::math::op_dvv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vv__vari.html#abe4e66ae889c118cb8ca89fcc6f6e216">stan::math::op_vv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#a0a708211e17a4967f8b32594fda9b33a">stan::math::op_vvd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ac8e9a82361ea5fcf0a51f088d29be90e">stan::math::op_vvv_vari</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
+<li>cd_
+: <a class="el" href="classstan_1_1math_1_1op__dvd__vari.html#aafff013835800b2611e582f75a4a87e1">stan::math::op_dvd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdd__vari.html#a7acdfdfc206b8c3e9335af73091bb471">stan::math::op_vdd_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvd__vari.html#a6184fba1516ee458408d47f8ba4d64fa">stan::math::op_vvd_vari</a>
+</li>
+<li>cvi_
+: <a class="el" href="classstan_1_1math_1_1op__ddv__vari.html#a56c1fc22f4f329cca3da733c6eb0f73a">stan::math::op_ddv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__dvv__vari.html#aaddf51db2da17712cf73941d9a65c072">stan::math::op_dvv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vdv__vari.html#a7fb6e0e51feb1099d20918fe951f83e9">stan::math::op_vdv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vvv__vari.html#ad8b02ef27dfacf65c9e4eac914cc800e">stan::math::op_vvv_vari</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
+<li>d_
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar&lt; T &gt;</a>
+</li>
+<li>d_x1
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#af3f9c82e9116cc0419b7d9cdac8944cc">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ac3da0f123dda13340cd425733f317dfb">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>d_x2
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ab75d8cd6f71d3c5b378b82d813caf285">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#af657840ea458aca67fc477339cef7dfd">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>d_x3
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae93a9300d6811b879497cf681caeca67">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a9e81624687b22f12738b43e08068ecdb">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>d_x4
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ada24bf5265c454ba822b272cc65a87e8">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a14a7b48d91addf99b5924185941362d7">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>d_x5
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#a2510456783a14b95a31875b3d2290fac">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a6eb9817647f74585a99795941a0ed0bb">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ad0f79b2e3de49d5d25baf91aebcdda46">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>d_x6
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#ad40923a1e408b5b54f5652e3309d0912">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a7a93e0cb0633c8410c001aeb5b7756e3">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#abb05a246148273ea10a4f18f2be9079d">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+<li>da_
+: <a class="el" href="classstan_1_1math_1_1precomp__v__vari.html#aebcc7a60e78ba7f4156697faaf9cc0f0">stan::math::precomp_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#af97b5e93718119df5074e486f4825bea">stan::math::precomp_vv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#ab917bd646e4c1e48cc62c0200b4be8ca">stan::math::precomp_vvv_vari</a>
+</li>
+<li>db_
+: <a class="el" href="classstan_1_1math_1_1precomp__vv__vari.html#a135ab5b456986b163575aceb179a8a40">stan::math::precomp_vv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#ae0b4d2b33c8c29d99021b4693a1247ce">stan::math::precomp_vvv_vari</a>
+</li>
+<li>dc_
+: <a class="el" href="classstan_1_1math_1_1precomp__vvv__vari.html#ad4e4385c71e5c0ae76b62e1f581600b0">stan::math::precomp_vvv_vari</a>
+</li>
+<li>digits
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#acacc88b265be440d023641830e9555e8">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a6f832c798083861791d8f8422d297cc5">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>digits10
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac72f6fb71cb6f7e4066f6cb4d4d264a8">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a306499deadac99dc6648a436dd1b91e7">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>dotval_
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a674d2c68ca4a0bfce7d38c644e430d7a">stan::math::gevv_vvv_vari</a>
+</li>
+<li>dtrs_
+: <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#ae5c373b3fc563e291e189571057c2027">stan::math::stored_gradient_vari</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
+<li>f_
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6d34cf58dd65908c274346f9faffa1c9">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a29bdd2a1b78ae39b6be208202254d641">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a315e28cc50d328c6b384142310e9721b">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#afedc7496fd5c35ba1e8325d71c8100be">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_g"></a>- g -</h3><ul>
+<li>gradients_
+: <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#ab1b2c58490560a34da96fee3d4057620">stan::math::precomputed_gradients_vari</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_h"></a>- h -</h3><ul>
+<li>has_denorm
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a96150abba41617a326d932898f40a271">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a0bad4d5dc17300ba94f978bb2fe4b5f0">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>has_denorm_loss
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac1a4413e08377758bcf63a241e0a69ee">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a972b6c088d09e9ae9600cd8e7bf84d08">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>has_infinity
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#adf78371272a42d7f5eb8836365c04764">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a48d4f72d9050f2ffa14e92db913c3f9c">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>has_quiet_NaN
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a8e45cb7bac1df9211bedbe9fb7463762">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a9fce52f2fab68553a36500922c7b00c7">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>has_signaling_NaN
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1638acb74a052c73f6f967df41b48616">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a192d5e3131211bc8d64187c98fb791e4">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>is_bounded
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ab5deb46224220ecfb8a9376482c9e8ac">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ae161cee3b942d452a926a36aec60f299">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_exact
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a90261feaf68874a9040f1d6154cb07d8">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a4ac573b4bf27192ba455fd19e227f9a8">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_iec559
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a14d89ae2412cdc6332ef210bde59f6b6">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a6bd55581d326ebf3ed6a1c496db0b9e0">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_integer
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aea8d495294cc702f7a01231a1dac200d">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a77274abe077c86132768f758f855d4de">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_modulo
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a32a765f274b13b613d32ba4d134c4744">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#adf7187f7525889c004c4f82c2ce732df">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_signed
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#af3bbfcf12af3e66ff24ce68db3bcc1e7">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a63ac9208e3acc5ca9bcdba7e5f56765e">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>is_specialized
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a59a2dde71269caf7efeb7152be6ce533">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#acd76962ff1fcc794becaaf166d8680a6">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
+<li>length_
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a3162ad4ae0b41adf5d342af16e51bad2">stan::math::gevv_vvv_vari</a>
+, <a class="el" href="classstan_1_1math_1_1sum__v__vari.html#af6d64dee35e248318e7335b4483157c0">stan::math::sum_v_vari</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>M_
+: <a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a79f912f6bd3f5fe607c1da2f496dc546">stan::math::cholesky_decompose_v_vari</a>
+, <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab206f6625b21a054d90fa17e07b54c0e">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ace943e49e8e81900dba84aa7ad248e1d">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#abd51105f9c70eaa4e41604db57814b5d">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#abcd5c75ee971a0346ce26db1fb99d8f2">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>max_exponent
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1537bd90d3b2f97e27229e0c219d0807">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a4d417e7f57df3e7866b33e606b7a67c4">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>max_exponent10
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a582122c752ff0b7505c495a5ed7c315b">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a314c4f743a150c8d335692086c6ca564">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>memalloc_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>min_exponent
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#abe6b4be3af27ba2fa504246bc080c9d6">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ac5b86cfb9a7c727c9acecc63d1846f88">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>min_exponent10
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a18d66a0fb3aedba11174e9dddf46e64a">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a3b2ecdc49b475fd7c29e5db504e93993">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>msgs_
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a9d0ef30c3aeabb040639ffd88416c029">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a1d598b9ae88d390a54ed701bc9752999">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a1a1ce668b29fbe51a12c7af59aad2db4">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a06205d852a2e980e30107a290f9e5876">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>n_
+: <a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#ad24f4f0e485caa6ca0f4f149624c5109">stan::math::coupled_ode_observer</a>
+</li>
+<li>N_
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a0d185dcf6b1320ee8d2623c9769b9be2">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac2046745fac3341408eb20d04fbd8340">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa6c3adcb5d16141d88f7c59f57794980">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a27a807c37bfbd4c8f0b9fd8674c26d51">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html#a80ff851844006a74407e5958b1aa41a8">stan::math::LDLT_alloc&lt; R, C &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#af6c64c2f48290202674bc63736abf0d9">stan::math::LDLT_factor&lt; T, R, C &gt;</a>
+</li>
+<li>n_partials
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acd3e29411cbc4f04ff8a02d2d4c4ceb9">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>nested_var_alloc_stack_starts_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a86825610c9b89e0635a1efe420fb502c">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>nested_var_nochain_stack_sizes_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a15080f06483a3215ce0513e0274db5f5">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>nested_var_stack_sizes_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#aaa52587fef6c965ff959745bedaab58b">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>nvaris
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a986e21d6b93419a911b127b1c0b2c340">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>partials_
+: <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#a318f47f75b1b24dd3ad5751fa741b6a4">stan::math::stored_gradient_vari</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
+<li>radix
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a587890d74b771c8540cee2cd2d7034ab">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#aa9ba12ebfa66d3e08f8d215b1113c818">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>round_style
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a17d98bdb7219aae14eb990e0e1272a75">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#aabc7fd25500e1560deb8839cb1ee7225">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>size_
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#afd3671c1829990365904ed3d60d9d82d">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a072fc6585021385a59831dfef70c8fa1">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a26ef004ef67b43c6df80664bd3453108">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a98451e6ddfb64254c8bfbc6a6f4055a9">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a89c5c533bea6db8bca39202531f38348">stan::math::op_matrix_vari</a>
+, <a class="el" href="classstan_1_1math_1_1op__vector__vari.html#af182cd25bf9c00f21155fd1e1b9bc64b">stan::math::op_vector_vari</a>
+, <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#a785ccdd15f3d34aad96351dbfc2131a8">stan::math::precomputed_gradients_vari</a>
+, <a class="el" href="classstan_1_1math_1_1stored__gradient__vari.html#aae7ebe863ce4f2544b1443d50c456a53">stan::math::stored_gradient_vari</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>theta_
+: <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa83bd4b43f18e3173da624b4955da369">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a25abbeca623eef4288f891dad5f9aef4">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>theta_dbl_
+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ea7d3c67d117c7a1c261fd1c4bb624a">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a8ed7492f88159d09d0821e2733f7251b">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a4c5d0452b3d0655d86139a2a7cce6a13">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae43208e9fea0c6f456f1e28611109ac8">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+<li>tinyness_before
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a8363f29d87fc5d3d73671d8392c812c5">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a872009df91ab9e948f8d9a6b4fb79a2d">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+<li>traps
+: <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aacb06d8d52956389bba88fc0196f4d7e">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a>
+, <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ace9fa9c8c667f38d1c1fac08354c7f9c">std::numeric_limits&lt; stan::math::var &gt;</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>v1_
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a1b8223780565cab9a3d95dd0bb199b90">stan::math::gevv_vvv_vari</a>
+</li>
+<li>v2_
+: <a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html#a3cfca671d85ffed899debb9730235dbd">stan::math::gevv_vvv_vari</a>
+</li>
+<li>v_
+: <a class="el" href="classstan_1_1math_1_1sum__v__vari.html#a02ca46a8d2ffc591718513c98c09c9b6">stan::math::sum_v_vari</a>
+</li>
+<li>val_
+: <a class="el" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">stan::math::vari</a>
+</li>
+<li>var_alloc_stack_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a4e95a60d3e2d215f4f8020e6ce2f03d8">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>var_nochain_stack_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#ac281684e398a6a4cedcf7c4e75eeb2f1">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>var_stack_
+: <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a3ee9208d01fab7f0d6b3d3fd6f186435">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>
+</li>
+<li>variRefA_
+: <a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#acd3834b8b6dd6cfa3b799cac9e7739fc">stan::math::cholesky_decompose_v_vari</a>
+</li>
+<li>variRefL_
+: <a class="el" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a733ded3d060d5d780c73a05b6f1402df">stan::math::cholesky_decompose_v_vari</a>
+</li>
+<li>varis_
+: <a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html#aedb6cbfaa40f6882efda15856d4c7d0a">stan::math::precomputed_gradients_vari</a>
+</li>
+<li>vi_
+: <a class="el" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var</a>
+</li>
+<li>vis_
+: <a class="el" href="classstan_1_1math_1_1op__matrix__vari.html#a81caaf77e84614aada7a27f0984db8cc">stan::math::op_matrix_vari</a>
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+<li>x1_
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+</li>
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+</li>
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+</li>
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+<li>y_coupled_
+: <a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#ad213dbe6a4b23d20955a4fdfc94d3308">stan::math::coupled_ode_observer</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
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+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
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+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li class="current"><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_w"></a>- w -</h3><ul>
+<li>welford_covar_estimator()
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+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
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+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
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+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
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+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li class="current"><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
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+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_x"></a>- x -</h3><ul>
+<li>x1_
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a49eb3bb3640c570e10687030f1e3405f">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>x2_
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a1baff21ab47b8a6ee3db28e355742b60">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>x3_
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a8cd2a75a6de6b8c9d2894eebd232d159">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>x4_
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a0a48704c56f7d988725289dba09b9100">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>x5_
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aba67588e7b9072563a201a48811a35dd">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>x6_
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ad71f9b51cf019db8d4a0abd881bf3e87">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>x_
+: <a class="el" href="structstan_1_1math_1_1array__builder.html#aeeffff75de3c356257e419fc8591afcb">stan::math::array_builder&lt; T &gt;</a>
+, <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab317a711e2954c234d5b9ad990acc65d">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
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+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada8b248f756fe67a56635aeedd546386">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>
+, <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a0330e9773cc8d53aa0c0696e5ce731dd">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<title>Stan Math Library: Class Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
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+<script type="text/javascript" src="search/searchdata.js"></script>
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+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
+      <li>
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+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+               onmouseout="return searchBox.OnSearchSelectHide()"
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
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+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
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+  <div id="navrow4" class="tabs3">
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+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
+      <li><a href="functions_e.html#index_e"><span>e</span></a></li>
+      <li><a href="functions_f.html#index_f"><span>f</span></a></li>
+      <li><a href="functions_g.html#index_g"><span>g</span></a></li>
+      <li><a href="functions_h.html#index_h"><span>h</span></a></li>
+      <li><a href="functions_i.html#index_i"><span>i</span></a></li>
+      <li><a href="functions_j.html#index_j"><span>j</span></a></li>
+      <li><a href="functions_l.html#index_l"><span>l</span></a></li>
+      <li><a href="functions_m.html#index_m"><span>m</span></a></li>
+      <li><a href="functions_n.html#index_n"><span>n</span></a></li>
+      <li><a href="functions_o.html#index_o"><span>o</span></a></li>
+      <li><a href="functions_p.html#index_p"><span>p</span></a></li>
+      <li><a href="functions_q.html#index_q"><span>q</span></a></li>
+      <li><a href="functions_r.html#index_r"><span>r</span></a></li>
+      <li><a href="functions_s.html#index_s"><span>s</span></a></li>
+      <li><a href="functions_t.html#index_t"><span>t</span></a></li>
+      <li><a href="functions_v.html#index_v"><span>v</span></a></li>
+      <li><a href="functions_w.html#index_w"><span>w</span></a></li>
+      <li><a href="functions_x.html#index_x"><span>x</span></a></li>
+      <li class="current"><a href="functions_y.html#index_y"><span>y</span></a></li>
+      <li><a href="functions_~.html#index_~"><span>~</span></a></li>
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+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
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+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all class members with links to the classes they belong to:</div>
+
+<h3><a class="anchor" id="index_y"></a>- y -</h3><ul>
+<li>y0_
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+: <a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a05858eac16fa32b40205ee4531fdd159">stan::math::coupled_ode_system&lt; F, double, double &gt;</a>
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+<li>y_coupled_
+: <a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#ad213dbe6a4b23d20955a4fdfc94d3308">stan::math::coupled_ode_observer</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<script type="text/javascript" src="jquery.js"></script>
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+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
+      <li>
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+        <span class="left">
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
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+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="functions.html"><span>All</span></a></li>
+      <li><a href="functions_func.html"><span>Functions</span></a></li>
+      <li><a href="functions_vars.html"><span>Variables</span></a></li>
+      <li><a href="functions_type.html"><span>Typedefs</span></a></li>
+      <li><a href="functions_eval.html"><span>Enumerator</span></a></li>
+      <li><a href="functions_rela.html"><span>Related&#160;Functions</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="functions.html#index__"><span>_</span></a></li>
+      <li><a href="functions_a.html#index_a"><span>a</span></a></li>
+      <li><a href="functions_b.html#index_b"><span>b</span></a></li>
+      <li><a href="functions_c.html#index_c"><span>c</span></a></li>
+      <li><a href="functions_d.html#index_d"><span>d</span></a></li>
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+<li>~accumulator()
+: <a class="el" href="classstan_1_1math_1_1accumulator.html#a298d4088fbfdfca98d2c8e36a5ea4f1c">stan::math::accumulator&lt; T &gt;</a>
+</li>
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+</li>
+<li>~OperandsAndPartials()
+: <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a381ae87f6867b7cf252f48f47b61936c">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>
+</li>
+<li>~stack_alloc()
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+</li>
+<li>~vari()
+: <a class="el" href="classstan_1_1math_1_1vari.html#a14e0658a14d11a99e69f6d16f119bbf8">stan::math::vari</a>
+</li>
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+<div class="title">fvar.hpp</div>  </div>
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+<a href="fvar_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_CORE_FVAR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_CORE_FVAR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="likely_8hpp.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;ostream&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1fvar.html">   13</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1fvar.html">fvar</a> {</div>
+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">   14</a></span>&#160;      T <a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>;  <span class="comment">// value</span></div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1fvar.html#aebf2b1ad415c5f68d5b4c7a94384e3fc">   17</a></span>&#160;      T <a class="code" href="structstan_1_1math_1_1fvar.html#aebf2b1ad415c5f68d5b4c7a94384e3fc">val</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>; }</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1fvar.html#a77961c425581e421a7fa441a7812d468">   18</a></span>&#160;      T <a class="code" href="structstan_1_1math_1_1fvar.html#a77961c425581e421a7fa441a7812d468">tangent</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>; }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1fvar.html#ad8078e30a3897fdf9988f8a96bba3704">   20</a></span>&#160;      <span class="keyword">typedef</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar</a> <a class="code" href="structstan_1_1math_1_1fvar.html#ad8078e30a3897fdf9988f8a96bba3704">value_type</a>;</div>
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+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_ab4b948b7db1f825efd3e86acc2f19ec6"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#ab4b948b7db1f825efd3e86acc2f19ec6">stan::math::fvar::operator-=</a></div><div class="ttdeci">fvar&lt; T &gt; &amp; operator-=(const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00061">fvar.hpp:61</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a3c292c2e417a54f690fc9f66b4d10ccd"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a3c292c2e417a54f690fc9f66b4d10ccd">stan::math::fvar::operator/=</a></div><div class="ttdeci">fvar&lt; T &gt; &amp; operator/=(double x2)</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00102">fvar.hpp:102</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a77961c425581e421a7fa441a7812d468"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a77961c425581e421a7fa441a7812d468">stan::math::fvar::tangent</a></div><div class="ttdeci">T tangent() const </div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00018">fvar.hpp:18</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_acf9a3dcefdc0dd474caa41285435cf0b"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#acf9a3dcefdc0dd474caa41285435cf0b">stan::math::fvar::operator--</a></div><div class="ttdeci">fvar&lt; T &gt; operator--(int)</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00131">fvar.hpp:131</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a923f4b28c579d63838897b7199af0b9d"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a923f4b28c579d63838897b7199af0b9d">stan::math::fvar::fvar</a></div><div class="ttdeci">fvar(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00024">fvar.hpp:24</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a2e8ed7892827b43ec62736e8999bafd5"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a2e8ed7892827b43ec62736e8999bafd5">stan::math::fvar::operator+=</a></div><div class="ttdeci">fvar&lt; T &gt; &amp; operator+=(const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00046">fvar.hpp:46</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a9ec9f6ad1870e35178068fd12a0d04ea"><div class="ttname"><a href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a></div><div class="ttdeci">bool isnan(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is NaN. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isnan_8hpp_source.html#l00022">boost_isnan.hpp:22</a></div></div>
+<div class="ttc" id="likely_8hpp_html_a58059a6664c486561d2641a07440ad1a"><div class="ttname"><a href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a></div><div class="ttdeci">#define unlikely(x)  </div><div class="ttdef"><b>Definition:</b> <a href="likely_8hpp_source.html#l00009">likely.hpp:9</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_ac3d87dc556498952498b6d1c1dcbe204"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#ac3d87dc556498952498b6d1c1dcbe204">stan::math::fvar::operator++</a></div><div class="ttdeci">fvar&lt; T &gt; &amp; operator++()</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00110">fvar.hpp:110</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_ad8078e30a3897fdf9988f8a96bba3704"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#ad8078e30a3897fdf9988f8a96bba3704">stan::math::fvar::value_type</a></div><div class="ttdeci">fvar value_type</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00020">fvar.hpp:20</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a08587bd5322f627971294a39b0444bf3"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a08587bd5322f627971294a39b0444bf3">stan::math::fvar::operator--</a></div><div class="ttdeci">fvar&lt; T &gt; &amp; operator--()</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00125">fvar.hpp:125</a></div></div>
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+<div class="ttc" id="likely_8hpp_html"><div class="ttname"><a href="likely_8hpp.html">likely.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2arr_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/arr/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<a href="fwd_2arr_2fun_2log__sum__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_ARR_FUN_LOG_SUM_EXP_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="prim_2arr_2fun_2log__sum__exp_8hpp_html"><div class="ttname"><a href="prim_2arr_2fun_2log__sum__exp_8hpp.html">log_sum_exp.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2fun_2sum_8hpp_source.html">stan/math/prim/arr/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="fwd_2arr_2fun_2sum_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a5e5dda5a9c244efdbd023cc01d47cbf4"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a5e5dda5a9c244efdbd023cc01d47cbf4"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a> (const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</td></tr>
+<tr class="memdesc:a5e5dda5a9c244efdbd023cc01d47cbf4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sum of the entries of the specified standard vector.  <a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">More...</a><br /></td></tr>
+<tr class="separator:a5e5dda5a9c244efdbd023cc01d47cbf4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</div><!--header-->
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+<a href="fwd_2arr_2fun_2sum_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_ARR_FUN_SUM_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html">stan/math/fwd/scal/meta/is_fvar.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="prim_2arr_8hpp_source.html">stan/math/prim/arr.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_8hpp_source.html">stan/math/fwd/scal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html">stan/math/fwd/arr/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2arr_2fun_2sum_8hpp_source.html">stan/math/fwd/arr/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/arr/fun/to_fvar.hpp</a>&gt;</code><br />
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+<p><a href="fwd_2arr_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:a51a0614c9ba674f03e3d1b7586e99d27"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a51a0614c9ba674f03e3d1b7586e99d27"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a51a0614c9ba674f03e3d1b7586e99d27">stan::math::operator+</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
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+<a href="fwd_2core_2operator__addition_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_CORE_OPERATOR_ADDITION_HPP</span></div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
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+<a href="fwd_2core_2operator__division_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_CORE_OPERATOR_DIVISION_HPP</span></div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="fvar_8hpp_html"><div class="ttname"><a href="fvar_8hpp.html">fvar.hpp</a></div></div>
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+<a href="fwd_2core_2operator__greater__than_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_CORE_OPERATOR_GREATER_THAN_HPP</span></div>
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+<a href="fwd_2core_2operator__greater__than__or__equal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_CORE_OPERATOR_GREATER_THAN_OR_EQUAL_HPP</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keywordtype">bool</span></div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
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+<a href="fwd_2core_2operator__multiplication_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_CORE_OPERATOR_MULTIPLICATION_HPP</span></div>
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+<tr class="memitem:a6a200e70e0f2b422b6623cf4b19d04da"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6a200e70e0f2b422b6623cf4b19d04da">stan::math::operator-</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
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+<a href="fwd_2core_2operator__subtraction_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_CORE_OPERATOR_SUBTRACTION_HPP</span></div>
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+<a href="fwd_2core_2std__numeric__limits_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_CORE_STD_NUMERIC_LIMITS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_CORE_STD_NUMERIC_LIMITS_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fvar_8hpp.html">stan/math/fwd/core/fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno"><a class="line" href="namespacestd.html">    7</a></span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestd.html">std</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">   11</a></span>&#160;  <span class="keyword">struct </span>numeric_limits&lt;<a class="code" href="namespacestan.html">stan</a>::math::fvar&lt;T&gt; &gt; {</div>
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+<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ab5deb46224220ecfb8a9376482c9e8ac">   48</a></span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> is_bounded = numeric_limits&lt;double&gt;::is_bounded;</div>
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+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aacb06d8d52956389bba88fc0196f4d7e">   51</a></span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> traps = numeric_limits&lt;double&gt;::traps;</div>
+<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a8363f29d87fc5d3d73671d8392c812c5">   52</a></span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> tinyness_before = numeric_limits&lt;double&gt;::tinyness_before;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a17d98bdb7219aae14eb990e0e1272a75">   53</a></span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> float_round_style round_style =</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      numeric_limits&lt;double&gt;::round_style;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  };</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;}</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_a54b8e07a42d555f9783640b49428da2c"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a54b8e07a42d555f9783640b49428da2c">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;::max</a></div><div class="ttdeci">static stan::math::fvar&lt; T &gt; max()</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00014">std_numeric_limits.hpp:14</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_abf9a7000542d5141f8f6791282aecc5e"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#abf9a7000542d5141f8f6791282aecc5e">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;::epsilon</a></div><div class="ttdeci">static stan::math::fvar&lt; T &gt; epsilon()</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00021">std_numeric_limits.hpp:21</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_afb373d33a5d27f12cc75f8655207fd6b"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#afb373d33a5d27f12cc75f8655207fd6b">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;::infinity</a></div><div class="ttdeci">static stan::math::fvar&lt; T &gt; infinity()</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00038">std_numeric_limits.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3f076860549f63d55c0e4985dce78099"><div class="ttname"><a href="namespacestan_1_1math.html#a3f076860549f63d55c0e4985dce78099">stan::math::min</a></div><div class="ttdeci">int min(const std::vector&lt; int &gt; &amp;x)</div><div class="ttdoc">Returns the minimum coefficient in the specified column vector. </div><div class="ttdef"><b>Definition:</b> <a href="min_8hpp_source.html#l00020">min.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_a83a3f6cc9f8616ff3a1a0d25c13febd0"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a83a3f6cc9f8616ff3a1a0d25c13febd0">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;::denorm_min</a></div><div class="ttdeci">static stan::math::fvar&lt; T &gt; denorm_min()</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00044">std_numeric_limits.hpp:44</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_a1f98885d72104f524c0cbccbd7ac3152"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1f98885d72104f524c0cbccbd7ac3152">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;::min</a></div><div class="ttdeci">static stan::math::fvar&lt; T &gt; min()</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00013">std_numeric_limits.hpp:13</a></div></div>
+<div class="ttc" id="fvar_8hpp_html"><div class="ttname"><a href="fvar_8hpp.html">fvar.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5da0ef87756d3dbd20ca4ff5a3efa10d"><div class="ttname"><a href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">stan::math::max</a></div><div class="ttdeci">int max(const std::vector&lt; int &gt; &amp;x)</div><div class="ttdoc">Returns the maximum coefficient in the specified column vector. </div><div class="ttdef"><b>Definition:</b> <a href="max_8hpp_source.html#l00021">max.hpp:21</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_a1f778384d98f2aeb1d4338ed4fb01c89"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1f778384d98f2aeb1d4338ed4fb01c89">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;::signaling_NaN</a></div><div class="ttdeci">static stan::math::fvar&lt; T &gt; signaling_NaN()</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00042">std_numeric_limits.hpp:42</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_a04ab86a7f52d6cb23211b7db997843cf"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a04ab86a7f52d6cb23211b7db997843cf">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;::round_error</a></div><div class="ttdeci">static stan::math::fvar&lt; T &gt; round_error()</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00023">std_numeric_limits.hpp:23</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_a57076162eb3f395ddf9f475776bc45f4"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a57076162eb3f395ddf9f475776bc45f4">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;::quiet_NaN</a></div><div class="ttdeci">static stan::math::fvar&lt; T &gt; quiet_NaN()</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00040">std_numeric_limits.hpp:40</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_891b99f71c153bb46cf7117b6e9a16c0.html">fwd</a></li>  </ul>
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+<div class="title">core.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fvar_8hpp_source.html">stan/math/fwd/core/fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_2operator__addition_8hpp_source.html">stan/math/fwd/core/operator_addition.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_2operator__division_8hpp_source.html">stan/math/fwd/core/operator_division.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_2operator__equal_8hpp_source.html">stan/math/fwd/core/operator_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_2operator__greater__than_8hpp_source.html">stan/math/fwd/core/operator_greater_than.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_2operator__greater__than__or__equal_8hpp_source.html">stan/math/fwd/core/operator_greater_than_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_2operator__less__than_8hpp_source.html">stan/math/fwd/core/operator_less_than.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_2operator__less__than__or__equal_8hpp_source.html">stan/math/fwd/core/operator_less_than_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_2operator__multiplication_8hpp_source.html">stan/math/fwd/core/operator_multiplication.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_2operator__not__equal_8hpp_source.html">stan/math/fwd/core/operator_not_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_2operator__subtraction_8hpp_source.html">stan/math/fwd/core/operator_subtraction.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="operator__unary__minus_8hpp_source.html">stan/math/fwd/core/operator_unary_minus.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">stan/math/fwd/core/std_numeric_limits.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2core_8hpp_source.html">Go to the source code of this file.</a></p>
+</div><!-- contents -->
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+  <i>&copy; 2011&ndash;2016,
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Numerical traits template override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables.  <a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Implemented this for printing to stream.  <a href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html#details">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_891b99f71c153bb46cf7117b6e9a16c0.html">fwd</a></li><li class="navelem"><a class="el" href="dir_3e64126bb31437bd14b43144ca4ca952.html">mat</a></li><li class="navelem"><a class="el" href="dir_cd91bf94114b93166baa07a51184242d.html">fun</a></li>  </ul>
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+<div class="title">Eigen_NumTraits.hpp</div>  </div>
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+<div class="contents">
+<a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_EIGEN_NUMTRAITS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_EIGEN_NUMTRAITS_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno"><a class="line" href="namespace_eigen.html">    8</a></span>&#160;<span class="keyword">namespace </span><a class="code" href="namespace_eigen.html">Eigen</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">   15</a></span>&#160;  <span class="keyword">struct </span>NumTraits&lt;<a class="code" href="namespacestan.html">stan</a>::math::fvar&lt;T&gt; &gt; {</div>
+<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">   21</a></span>&#160;    <span class="keyword">typedef</span> <a class="code" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt;T&gt;</a> <a class="code" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aa05b23229e883f730e17b2d853943086">   28</a></span>&#160;    <span class="keyword">typedef</span> <a class="code" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt;T&gt;</a> <a class="code" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aa05b23229e883f730e17b2d853943086">NonInteger</a>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac1d414db60208827e11bf100a6f5fa49">   35</a></span>&#160;    <span class="keyword">typedef</span> <a class="code" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt;T&gt;</a> <a class="code" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac1d414db60208827e11bf100a6f5fa49">Nested</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a8532a2c2276f85829398e8eed1fffede">   43</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">static</span> Real <a class="code" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a8532a2c2276f85829398e8eed1fffede">epsilon</a>() {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">return</span> std::numeric_limits&lt;double&gt;::epsilon();</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a4c08b4bba00a46601d760d90fdba943d">   50</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">static</span> Real <a class="code" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a4c08b4bba00a46601d760d90fdba943d">dummy_precision</a>() {</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordflow">return</span> 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-12;  <span class="comment">// copied from NumTraits.h values for double</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    }</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1412b5d850985532c6901671a1e83996">   60</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">static</span> Real <a class="code" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1412b5d850985532c6901671a1e83996">highest</a>() {</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::numeric_limits&lt;double&gt;::max</a>();</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    }</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aaf7446de33e7a3e5f21b4548ccaf5c7a">   70</a></span>&#160;    <span class="keyword">inline</span> <span class="keyword">static</span> Real <a class="code" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aaf7446de33e7a3e5f21b4548ccaf5c7a">lowest</a>() {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">return</span> -<a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::numeric_limits&lt;double&gt;::max</a>();</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    }</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    <span class="keyword">enum</span> {</div>
+<div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a274287a3cdae5ae4d48890ae91d32b4b">   79</a></span>&#160;      IsInteger = 0,</div>
+<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a0bc04ee5f79e5accb84c3ae8b03f2fbc">   80</a></span>&#160;      IsSigned = 1,</div>
+<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a927bbae55331d3b6f7cb4c78a5fad146">   81</a></span>&#160;      IsComplex = 0,</div>
+<div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a9755aac49dbaa87c3a448219f225d903">   82</a></span>&#160;      RequireInitialization = 1,</div>
+<div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258ac32ba519bab5db01a8b5cd1a4d892c0d">   83</a></span>&#160;      ReadCost = 1,</div>
+<div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a9d999dfd79c2ae5df9bf7fe13e625a51">   84</a></span>&#160;      AddCost = 1,</div>
+<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258af070b8b29b40c7b0d09de7e7ee843f62">   85</a></span>&#160;      MulCost = 1,</div>
+<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a331e8b0d5aeefe0c3d552cddade41ae3">   86</a></span>&#160;      HasFloatingPoint = 1</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    };</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  };</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="namespace_eigen_1_1internal.html">   90</a></span>&#160;  <span class="keyword">namespace </span>internal {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html">   95</a></span>&#160;    <span class="keyword">struct </span>significant_decimals_default_impl&lt;<a class="code" href="namespacestan.html">stan</a>::math::fvar&lt;T&gt;, false&gt; {</div>
+<div class="line"><a name="l00096"></a><span class="lineno"><a class="line" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html#a9836117e79b68d6d362a4b775195e6b4">   96</a></span>&#160;      <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html#a9836117e79b68d6d362a4b775195e6b4">run</a>() {</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1b2e9b4a947b81917612a8d1d547afb">std::ceil</a>;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">return</span> cast&lt;double, int&gt;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          (<a class="code" href="namespacestan_1_1math.html#ab1b2e9b4a947b81917612a8d1d547afb">ceil</a>(-<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(std::numeric_limits&lt;double&gt;::epsilon())</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                / <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(10.0)));</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      }</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    };</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;}</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_aa05b23229e883f730e17b2d853943086"><div class="ttname"><a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aa05b23229e883f730e17b2d853943086">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;::NonInteger</a></div><div class="ttdeci">stan::math::fvar&lt; T &gt; NonInteger</div><div class="ttdoc">Non-integer valued variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00028">Eigen_NumTraits.hpp:28</a></div></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4_html_a9836117e79b68d6d362a4b775195e6b4"><div class="ttname"><a href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html#a9836117e79b68d6d362a4b775195e6b4">Eigen::internal::significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt;::run</a></div><div class="ttdeci">static int run()</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00096">Eigen_NumTraits.hpp:96</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
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+<div class="ttc" id="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_a1412b5d850985532c6901671a1e83996"><div class="ttname"><a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1412b5d850985532c6901671a1e83996">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;::highest</a></div><div class="ttdeci">static Real highest()</div><div class="ttdoc">Return standard library&#39;s highest for double-precision floating point, std::numeric_limits<double>max...</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00060">Eigen_NumTraits.hpp:60</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="check__matching__dims_8hpp_source.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">stan/math/fwd/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memitem:ad63b6eb8c9db16d8321d8f2f18632be1"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1, int R2, int C2&gt; </td></tr>
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+  <div class="headertitle">
+<div class="title">columns_dot_product.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2columns__dot__product_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_COLUMNS_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_COLUMNS_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__dims_8hpp.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2typedefs_8hpp.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2dot__product_8hpp.html">stan/math/fwd/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    Eigen::Matrix&lt;fvar&lt;T&gt;, 1, C1&gt;</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad63b6eb8c9db16d8321d8f2f18632be1">   18</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad63b6eb8c9db16d8321d8f2f18632be1">columns_dot_product</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R1, C1&gt;&amp; v1,</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                        <span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R2, C2&gt;&amp; v2) {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa1149504bbf29d464f23508ca5eccc0a">stan::math::check_matching_dims</a>(<span class="stringliteral">&quot;columns_dot_product&quot;</span>,</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                                                <span class="stringliteral">&quot;v1&quot;</span>, v1,</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;                                                <span class="stringliteral">&quot;v2&quot;</span>, v2);</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      Eigen::Matrix&lt;fvar&lt;T&gt;, 1, C1&gt; ret(1, v1.cols());</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; v1.cols(); ++j) {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        Eigen::Matrix&lt;fvar&lt;T&gt;, R1, C1&gt; ccol1 = v1.col(j);</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        Eigen::Matrix&lt;fvar&lt;T&gt;, R2, C2&gt; ccol2 = v2.col(j);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        ret(0, j) = <a class="code" href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">dot_product</a>(ccol1, ccol2);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      }</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keywordflow">return</span> ret;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    }</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    Eigen::Matrix&lt;fvar&lt;T&gt;, 1, C1&gt;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a415662a8443b30a03b559fad4be26e85">   35</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad63b6eb8c9db16d8321d8f2f18632be1">columns_dot_product</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R1, C1&gt;&amp; v1,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                        <span class="keyword">const</span> Eigen::Matrix&lt;double, R2, C2&gt;&amp; v2) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa1149504bbf29d464f23508ca5eccc0a">stan::math::check_matching_dims</a>(<span class="stringliteral">&quot;columns_dot_product&quot;</span>,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                                                <span class="stringliteral">&quot;v1&quot;</span>, v1,</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                                                <span class="stringliteral">&quot;v2&quot;</span>, v2);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      Eigen::Matrix&lt;fvar&lt;T&gt;, 1, C1&gt; ret(1, v1.cols());</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; v1.cols(); ++j) {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        Eigen::Matrix&lt;fvar&lt;T&gt;, R1, C1&gt; ccol1 = v1.col(j);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        Eigen::Matrix&lt;double, R2, C2&gt; ccol = v2.col(j);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        ret(0, j) = <a class="code" href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">dot_product</a>(ccol1, ccol);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">return</span> ret;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    }</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    Eigen::Matrix&lt;fvar&lt;T&gt;, 1, C1&gt;</div>
+<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8ca0a75054cee6793caf8b97f47f8fa7">   52</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad63b6eb8c9db16d8321d8f2f18632be1">columns_dot_product</a>(<span class="keyword">const</span> Eigen::Matrix&lt;double, R1, C1&gt;&amp; v1,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                        <span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R2, C2&gt;&amp; v2) {</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa1149504bbf29d464f23508ca5eccc0a">stan::math::check_matching_dims</a>(<span class="stringliteral">&quot;columns_dot_product&quot;</span>,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                                                <span class="stringliteral">&quot;v1&quot;</span>, v1,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                                                <span class="stringliteral">&quot;v2&quot;</span>, v2);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      Eigen::Matrix&lt;fvar&lt;T&gt;, 1, C1&gt; ret(1, v1.cols());</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; v1.cols(); ++j) {</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        Eigen::Matrix&lt;double, R1, C1&gt; ccol = v1.col(j);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        Eigen::Matrix&lt;fvar&lt;T&gt;, R2, C2&gt; ccol2 = v2.col(j);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        ret(0, j) = <a class="code" href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">dot_product</a>(ccol, ccol2);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      }</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">return</span> ret;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;}</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad63b6eb8c9db16d8321d8f2f18632be1"><div class="ttname"><a href="namespacestan_1_1math.html#ad63b6eb8c9db16d8321d8f2f18632be1">stan::math::columns_dot_product</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, 1, C1 &gt; columns_dot_product(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;v2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2columns__dot__product_8hpp_source.html#l00018">columns_dot_product.hpp:18</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+<div class="ttc" id="check__matching__dims_8hpp_html"><div class="ttname"><a href="check__matching__dims_8hpp.html">check_matching_dims.hpp</a></div></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1149504bbf29d464f23508ca5eccc0a"><div class="ttname"><a href="namespacestan_1_1math.html#aa1149504bbf29d464f23508ca5eccc0a">stan::math::check_matching_dims</a></div><div class="ttdeci">bool check_matching_dims(const char *function, const char *name1, const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;y1, const char *name2, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;y2)</div><div class="ttdoc">Return true if the two matrices are of the same size. </div><div class="ttdef"><b>Definition:</b> <a href="check__matching__dims_8hpp_source.html#l00037">check_matching_dims.hpp:37</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a495321127b7e0ebdd4d52654d226e16b"><div class="ttname"><a href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">stan::math::dot_product</a></div><div class="ttdeci">fvar&lt; T &gt; dot_product(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;v2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00020">dot_product.hpp:20</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+   &#160;<span id="projectnumber">2.10.0</span>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2dot__self_8hpp_source.html">stan/math/fwd/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
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+<tr class="memitem:a3663d900f7f0bdd57e808301ff142ee1"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, 1, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3663d900f7f0bdd57e808301ff142ee1">stan::math::columns_dot_self</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;x)</td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_COLUMNS_DOT_SELF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3663d900f7f0bdd57e808301ff142ee1">   15</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a3663d900f7f0bdd57e808301ff142ee1">columns_dot_self</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R, C&gt;&amp; x) {</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1edae52ce70f3f0a9f7eb15f3416007c"><div class="ttname"><a href="namespacestan_1_1math.html#a1edae52ce70f3f0a9f7eb15f3416007c">stan::math::dot_self</a></div><div class="ttdeci">fvar&lt; T &gt; dot_self(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__self_8hpp_source.html#l00016">dot_self.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2dot__self_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2dot__self_8hpp.html">dot_self.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a3663d900f7f0bdd57e808301ff142ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a3663d900f7f0bdd57e808301ff142ee1">stan::math::columns_dot_self</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, 1, C &gt; columns_dot_self(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2columns__dot__self_8hpp_source.html#l00015">columns_dot_self.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
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+<tr class="memitem:abd303ef11dc0c73cda2f743a3b67fbf1"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, C, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abd303ef11dc0c73cda2f743a3b67fbf1">stan::math::crossprod</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</td></tr>
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+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2inverse_8hpp_source.html">stan/math/prim/mat/fun/inverse.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2inverse_8hpp_source.html">stan/math/fwd/mat/fun/inverse.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memitem:a63ab2582fc9a5a31d3d4f38a6420174e"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a63ab2582fc9a5a31d3d4f38a6420174e">stan::math::determinant</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</td></tr>
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+<div class="title">determinant.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2determinant_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_DETERMINANT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_DETERMINANT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2typedefs_8hpp.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2multiply_8hpp.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2inverse_8hpp.html">stan/math/prim/mat/fun/inverse.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2inverse_8hpp.html">stan/math/fwd/mat/fun/inverse.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// FIXME:  I think this will overcopy compared to retur fvar&lt;T&gt;(...);</span></div>
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+<div class="ttc" id="prim_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a35a69b84ead3c81cbaff702ac429e1cc"><div class="ttname"><a href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; multiply(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;m, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00021">multiply.hpp:21</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aab64bf2ca0e8e628e49119ed995c1c67"><div class="ttname"><a href="namespacestan_1_1math.html#aab64bf2ca0e8e628e49119ed995c1c67">stan::math::inverse</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; inverse(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2inverse_8hpp_source.html#l00020">inverse.hpp:20</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a63ab2582fc9a5a31d3d4f38a6420174e"><div class="ttname"><a href="namespacestan_1_1math.html#a63ab2582fc9a5a31d3d4f38a6420174e">stan::math::determinant</a></div><div class="ttdeci">fvar&lt; T &gt; determinant(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2determinant_8hpp_source.html#l00021">determinant.hpp:21</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2inverse_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2inverse_8hpp.html">inverse.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
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+<a href="fwd_2mat_2fun_2divide_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_DIVIDE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2typedefs_8hpp.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</span></div>
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+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="title">dot_product.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_2fun_2dot__product_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a495321127b7e0ebdd4d52654d226e16b"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a495321127b7e0ebdd4d52654d226e16b"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">stan::math::dot_product</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;v2)</td></tr>
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+<div class="title">dot_product.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2dot__product_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af55524d5b711066af73968df35ddeb2c">   37</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">dot_product</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R1, C1&gt;&amp; v1,</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                                                 <span class="stringliteral">&quot;v1&quot;</span>, v1,</div>
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+<div class="ttc" id="mat_2fun_2to__fvar_8hpp_html"><div class="ttname"><a href="mat_2fun_2to__fvar_8hpp.html">to_fvar.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">stan/math/fwd/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="fwd_2mat_2fun_2dot__self_8hpp_source.html">Go to the source code of this file.</a></p>
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+<div class="ttc" id="namespacestan_1_1math_html_a1edae52ce70f3f0a9f7eb15f3416007c"><div class="ttname"><a href="namespacestan_1_1math.html#a1edae52ce70f3f0a9f7eb15f3416007c">stan::math::dot_self</a></div><div class="ttdeci">fvar&lt; T &gt; dot_self(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__self_8hpp_source.html#l00016">dot_self.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2inverse_8hpp_source.html">stan/math/prim/mat/fun/inverse.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memitem:aab64bf2ca0e8e628e49119ed995c1c67"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:aab64bf2ca0e8e628e49119ed995c1c67"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aab64bf2ca0e8e628e49119ed995c1c67">stan::math::inverse</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</td></tr>
+<tr class="separator:aab64bf2ca0e8e628e49119ed995c1c67"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">inverse.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2inverse_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_INVERSE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_INVERSE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2fun_2to__fvar_8hpp.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2multiply_8hpp.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2inverse_8hpp.html">stan/math/prim/mat/fun/inverse.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="ttc" id="fwd_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aab64bf2ca0e8e628e49119ed995c1c67"><div class="ttname"><a href="namespacestan_1_1math.html#aab64bf2ca0e8e628e49119ed995c1c67">stan::math::inverse</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; inverse(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2inverse_8hpp_source.html#l00020">inverse.hpp:20</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2inverse_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2inverse_8hpp.html">inverse.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2fabs_8hpp_source.html">stan/math/fwd/scal/fun/fabs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log_8hpp_source.html">stan/math/fwd/scal/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memitem:a6f88bd206be351748e56aebf7e58289a"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6f88bd206be351748e56aebf7e58289a">stan::math::log_determinant</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</td></tr>
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+<a href="fwd_2mat_2fun_2log__determinant_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_LOG_DETERMINANT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_LOG_DETERMINANT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2typedefs_8hpp.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2determinant_8hpp.html">stan/math/fwd/mat/fun/determinant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2fabs_8hpp.html">stan/math/fwd/scal/fun/fabs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2log_8hpp.html">stan/math/fwd/scal/fun/log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a>(<a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">stan::math::fabs</a>(<a class="code" href="namespacestan_1_1math.html#a63ab2582fc9a5a31d3d4f38a6420174e">stan::math::determinant</a>(m)));</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2fabs_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2fabs_8hpp.html">fabs.hpp</a></div></div>
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+<div class="ttc" id="fwd_2mat_2fun_2determinant_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2determinant_8hpp.html">determinant.hpp</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2softmax_8hpp_source.html">stan/math/fwd/mat/fun/softmax.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2softmax_8hpp_source.html">stan/math/prim/mat/fun/softmax.hpp</a>&gt;</code><br />
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+<tr class="memitem:a558975cc79251cd99966f99ed8795ddc"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">stan::math::log_softmax</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt; &amp;alpha)</td></tr>
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+<a href="fwd_2mat_2fun_2log__softmax_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_LOG_SOFTMAX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_LOG_SOFTMAX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2softmax_8hpp.html">stan/math/fwd/mat/fun/softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__softmax_8hpp.html">stan/math/prim/mat/fun/log_softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2softmax_8hpp.html">stan/math/prim/mat/fun/softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    Eigen::Matrix&lt;fvar&lt;T&gt;, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">   16</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">log_softmax</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, Eigen::Dynamic, 1&gt;&amp; alpha) {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">stan::math::softmax</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">stan::math::log_softmax</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; alpha_t(alpha.size());</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; alpha.size(); ++k)</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; softmax_alpha_t = <a class="code" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">softmax</a>(alpha_t);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; log_softmax_alpha_t = <a class="code" href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">log_softmax</a>(alpha_t);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      Matrix&lt;fvar&lt;T&gt;, Dynamic, 1&gt; log_softmax_alpha(alpha.size());</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; alpha.size(); ++k) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        log_softmax_alpha(k).val_ = log_softmax_alpha_t(k);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        log_softmax_alpha(k).d_ = 0;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      }</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="comment">// for each input position</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> m = 0; m &lt; alpha.size(); ++m) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        T negative_alpha_m_d_times_softmax_alpha_t_m</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;          = - alpha(m).d_ * softmax_alpha_t(m);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="comment">// for each output position</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; alpha.size(); ++k) {</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;          <span class="keywordflow">if</span> (m == k)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            log_softmax_alpha(k).d_</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;              += alpha(m).d_</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;              + negative_alpha_m_d_times_softmax_alpha_t_m;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;          <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            log_softmax_alpha(k).d_</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;              += negative_alpha_m_d_times_softmax_alpha_t_m;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      }</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordflow">return</span> log_softmax_alpha;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    }</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;}</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="fwd_2mat_2fun_2softmax_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2softmax_8hpp.html">softmax.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/mat/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log_8hpp_source.html">stan/math/fwd/scal/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2exp_8hpp_source.html">stan/math/fwd/scal/fun/exp.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a34a4bb0a8db85be07d98d3b2e2fc96c4"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a34a4bb0a8db85be07d98d3b2e2fc96c4"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34a4bb0a8db85be07d98d3b2e2fc96c4">stan::math::log_sum_exp</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;v)</td></tr>
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+<a href="fwd_2mat_2fun_2log__sum__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_LOG_SUM_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_LOG_SUM_EXP_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__sum__exp_8hpp.html">stan/math/prim/mat/fun/log_sum_exp.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="comment">// FIXME: cut-and-paste from fwd/log_sum_exp.hpp; should</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="comment">// be able to generalize</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">stan::math::log_sum_exp</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      Eigen::Matrix&lt;T, 1, Eigen::Dynamic&gt; vals(v.size());</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2inverse_8hpp_source.html">stan/math/fwd/mat/fun/inverse.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2inverse_8hpp_source.html">stan/math/prim/mat/fun/inverse.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="fwd_2mat_2fun_2mdivide__left_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:a0f50d0ea5c9343dae0945012924f127c"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a1b9c580ecf4fc5b7a9e7523325a6cbe5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a933154f105a6d18864cfca8a8e2ff12c"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a933154f105a6d18864cfca8a8e2ff12c"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a933154f105a6d18864cfca8a8e2ff12c">stan::math::mdivide_left</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;b)</td></tr>
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+<a href="fwd_2mat_2fun_2mdivide__left_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_MDIVIDE_LEFT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_MDIVIDE_LEFT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2typedefs_8hpp.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2inverse_8hpp.html">stan/math/fwd/mat/fun/inverse.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2multiply_8hpp.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2fun_2to__fvar_8hpp.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2inverse_8hpp.html">stan/math/prim/mat/fun/inverse.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left_8hpp.html">stan/math/prim/mat/fun/mdivide_left.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    Eigen::Matrix&lt;fvar&lt;T&gt;, R1, C2&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">mdivide_left</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R1, C1&gt; &amp;A,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                 <span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R2, C2&gt; &amp;b) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a>;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">stan::math::mdivide_left</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;mdivide_left&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left&quot;</span>,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                                                <span class="stringliteral">&quot;A&quot;</span>, A,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                                                <span class="stringliteral">&quot;b&quot;</span>, b);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; inv_A_mult_b(A.rows(), b.cols());</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; inv_A_mult_deriv_b(A.rows(), b.cols());</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      Eigen::Matrix&lt;T, R1, C1&gt; inv_A_mult_deriv_A(A.rows(), A.cols());</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      Eigen::Matrix&lt;T, R1, C1&gt; val_A(A.rows(), A.cols());</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      Eigen::Matrix&lt;T, R1, C1&gt; deriv_A(A.rows(), A.cols());</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      Eigen::Matrix&lt;T, R2, C2&gt; val_b(b.rows(), b.cols());</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      Eigen::Matrix&lt;T, R2, C2&gt; deriv_b(b.rows(), b.cols());</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; A.rows(); i++) {</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;          val_A(i, j) = A(i, j).val_;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;          deriv_A(i, j) = A(i, j).d_;</div>
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+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      }</div>
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+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; b.rows(); i++) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          val_b(i, j) = b(i, j).val_;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;          deriv_b(i, j) = b(i, j).d_;</div>
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+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      inv_A_mult_deriv_b = <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">mdivide_left</a>(val_A, deriv_b);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      inv_A_mult_deriv_A = <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">mdivide_left</a>(val_A, deriv_A);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; deriv(A.rows(), b.cols());</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      deriv = inv_A_mult_deriv_b - <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">multiply</a>(inv_A_mult_deriv_A, inv_A_mult_b);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
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+<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1b9c580ecf4fc5b7a9e7523325a6cbe5">   68</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">mdivide_left</a>(<span class="keyword">const</span> Eigen::Matrix&lt;double, R1, C1&gt; &amp;A,</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                 <span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R2, C2&gt; &amp;b) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">stan::math::mdivide_left</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;mdivide_left&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left&quot;</span>,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                                                <span class="stringliteral">&quot;A&quot;</span>, A,</div>
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+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
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+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">stan::math::mdivide_left</a>;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;mdivide_left&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left&quot;</span>,</div>
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+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt;</div>
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+<div class="ttc" id="prim_2mat_2fun_2inverse_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2inverse_8hpp.html">inverse.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="promote__common_8hpp_source.html">stan/math/prim/mat/fun/promote_common.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a63890dd40cd8ad08a55c3b4e8616c741"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2, typename T2 &gt; </td></tr>
+<tr class="memitem:a63890dd40cd8ad08a55c3b4e8616c741"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T2 &gt;, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">stan::math::mdivide_left_ldlt</a> (const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; double, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T2 &gt;, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="memdesc:a63890dd40cd8ad08a55c3b4e8616c741"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A.  <a href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">More...</a><br /></td></tr>
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+<a href="fwd_2mat_2fun_2mdivide__left__ldlt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_MDIVIDE_LEFT_LDLT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_MDIVIDE_LEFT_LDLT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="promote__common_8hpp.html">stan/math/prim/mat/fun/promote_common.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2fun_2to__fvar_8hpp.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;fvar&lt;T2&gt;, R1, C2&gt;</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                                                <span class="stringliteral">&quot;b&quot;</span>, b);</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        }</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a1e3e1362a4de8a9143246413e9bf9e99">to_fvar</a>(<a class="code" href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">mdivide_left_ldlt</a>(A, b_val),</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;}</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
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+<div class="ttc" id="promote__common_8hpp_html"><div class="ttname"><a href="promote__common_8hpp.html">promote_common.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_html"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00018">LDLT_factor.hpp:18</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">LDLT_factor.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a63890dd40cd8ad08a55c3b4e8616c741"><div class="ttname"><a href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">stan::math::mdivide_left_ldlt</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T2 &gt;, R1, C2 &gt; mdivide_left_ldlt(const stan::math::LDLT_factor&lt; double, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T2 &gt;, R2, C2 &gt; &amp;b)</div><div class="ttdoc">Returns the solution of the system Ax=b given an LDLT_factor of A. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00025">mdivide_left_ldlt.hpp:25</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">mdivide_left_ldlt.hpp</a></div></div>
+<div class="ttc" id="mat_2fun_2to__fvar_8hpp_html"><div class="ttname"><a href="mat_2fun_2to__fvar_8hpp.html">to_fvar.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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diff --git a/doc/api/html/fwd_2mat_2fun_2mdivide__left__tri__low_8hpp.html b/doc/api/html/fwd_2mat_2fun_2mdivide__left__tri__low_8hpp.html
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+<div class="title">mdivide_left_tri_low.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2inverse_8hpp_source.html">stan/math/fwd/mat/fun/inverse.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a7eb79c8ce7ae730ba02342b4241aeac1"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a7eb79c8ce7ae730ba02342b4241aeac1"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7eb79c8ce7ae730ba02342b4241aeac1">stan::math::mdivide_left_tri_low</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</td></tr>
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+<tr class="separator:a98e366981089fe4cd134efa82492ced2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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diff --git a/doc/api/html/fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html b/doc/api/html/fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_891b99f71c153bb46cf7117b6e9a16c0.html">fwd</a></li><li class="navelem"><a class="el" href="dir_3e64126bb31437bd14b43144ca4ca952.html">mat</a></li><li class="navelem"><a class="el" href="dir_cd91bf94114b93166baa07a51184242d.html">fun</a></li>  </ul>
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+<div class="title">mdivide_left_tri_low.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_MDIVIDE_LEFT_TRI_LOW_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_MDIVIDE_LEFT_TRI_LOW_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left_8hpp.html">stan/math/prim/mat/fun/mdivide_left.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2typedefs_8hpp.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2fun_2to__fvar_8hpp.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2multiply_8hpp.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2inverse_8hpp.html">stan/math/fwd/mat/fun/inverse.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    Eigen::Matrix&lt;fvar&lt;T&gt;, R1, C1&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7eb79c8ce7ae730ba02342b4241aeac1">   22</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a7eb79c8ce7ae730ba02342b4241aeac1">mdivide_left_tri_low</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R1, C1&gt;&amp; A,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R2, C2&gt;&amp; b) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a>;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">stan::math::mdivide_left</a>;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;mdivide_left_tri_low&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left_tri_low&quot;</span>,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                                                <span class="stringliteral">&quot;A&quot;</span>, A,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                                                <span class="stringliteral">&quot;b&quot;</span>, b);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; inv_A_mult_b(A.rows(), b.cols());</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; inv_A_mult_deriv_b(A.rows(), b.cols());</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      Eigen::Matrix&lt;T, R1, C1&gt; inv_A_mult_deriv_A(A.rows(), A.cols());</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      Eigen::Matrix&lt;T, R1, C1&gt; val_A(A.rows(), A.cols());</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      Eigen::Matrix&lt;T, R2, C2&gt; deriv_b(b.rows(), b.cols());</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; A.cols(); j++) {</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;          val_A(i, j) = A(i, j).val_;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;          deriv_A(i, j) = A(i, j).d_;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      }</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; b.cols(); j++) {</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; b.rows(); i++) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          val_b(i, j) = b(i, j).val_;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;          deriv_b(i, j) = b(i, j).d_;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        }</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      }</div>
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+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      inv_A_mult_b = <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">mdivide_left</a>(val_A, val_b);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      inv_A_mult_deriv_b = <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">mdivide_left</a>(val_A, deriv_b);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      inv_A_mult_deriv_A = <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">mdivide_left</a>(val_A, deriv_A);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; deriv(A.rows(), b.cols());</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      deriv = inv_A_mult_deriv_b - <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">multiply</a>(inv_A_mult_deriv_A, inv_A_mult_b);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a1e3e1362a4de8a9143246413e9bf9e99">stan::math::to_fvar</a>(inv_A_mult_b, deriv);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    }</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a98e366981089fe4cd134efa82492ced2">   68</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a7eb79c8ce7ae730ba02342b4241aeac1">mdivide_left_tri_low</a>(<span class="keyword">const</span> Eigen::Matrix&lt;double, R1, C1&gt;&amp; A,</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R2, C2&gt;&amp; b) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">stan::math::mdivide_left</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;mdivide_left_tri_low&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left_tri_low&quot;</span>,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                                                <span class="stringliteral">&quot;A&quot;</span>, A,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                                                <span class="stringliteral">&quot;b&quot;</span>, b);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; inv_A_mult_b(A.rows(), b.cols());</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; inv_A_mult_deriv_b(A.rows(), b.cols());</div>
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+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      inv_A_mult_b = <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">mdivide_left</a>(val_A, val_b);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      inv_A_mult_deriv_b = <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">mdivide_left</a>(val_A, deriv_b);</div>
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+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; deriv(A.rows(), b.cols());</div>
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+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
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+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;double, R2, C2&gt;&amp; b) {</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a>;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">stan::math::mdivide_left</a>;</div>
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+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left_tri_low&quot;</span>,</div>
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+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                                                <span class="stringliteral">&quot;b&quot;</span>, b);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; inv_A_mult_b(A.rows(), b.cols());</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      Eigen::Matrix&lt;T, R1, C1&gt; inv_A_mult_deriv_A(A.rows(), A.cols());</div>
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+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      Eigen::Matrix&lt;T, R1, C1&gt; deriv_A(A.rows(), A.cols());</div>
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+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div>
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+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;  }</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;}</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0f50d0ea5c9343dae0945012924f127c"><div class="ttname"><a href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">stan::math::mdivide_left</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C2 &gt; mdivide_left(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2mdivide__left_8hpp_source.html#l00024">mdivide_left.hpp:24</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a35a69b84ead3c81cbaff702ac429e1cc"><div class="ttname"><a href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; multiply(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;m, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00021">multiply.hpp:21</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1e3e1362a4de8a9143246413e9bf9e99"><div class="ttname"><a href="namespacestan_1_1math.html#a1e3e1362a4de8a9143246413e9bf9e99">stan::math::to_fvar</a></div><div class="ttdeci">std::vector&lt; fvar&lt; T &gt; &gt; to_fvar(const std::vector&lt; T &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2fun_2to__fvar_8hpp_source.html#l00014">to_fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2inverse_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2inverse_8hpp.html">inverse.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7eb79c8ce7ae730ba02342b4241aeac1"><div class="ttname"><a href="namespacestan_1_1math.html#a7eb79c8ce7ae730ba02342b4241aeac1">stan::math::mdivide_left_tri_low</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; mdivide_left_tri_low(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html#l00022">mdivide_left_tri_low.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="mat_2fun_2to__fvar_8hpp_html"><div class="ttname"><a href="mat_2fun_2to__fvar_8hpp.html">to_fvar.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left_8hpp.html">mdivide_left.hpp</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="title">mdivide_right.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__right_8hpp_source.html">stan/math/prim/mat/fun/mdivide_right.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2inverse_8hpp_source.html">stan/math/fwd/mat/fun/inverse.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2inverse_8hpp_source.html">stan/math/prim/mat/fun/inverse.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_2fun_2mdivide__right_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a2ad09daa535a7aeda34199d43a8e9e29"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a2ad09daa535a7aeda34199d43a8e9e29"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">stan::math::mdivide_right</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="separator:a2ad09daa535a7aeda34199d43a8e9e29"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a56f6566409d59f27b6f3086afeb0b18b"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a56f6566409d59f27b6f3086afeb0b18b"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a56f6566409d59f27b6f3086afeb0b18b">stan::math::mdivide_right</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="separator:a56f6566409d59f27b6f3086afeb0b18b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9769485dc9f11852020b153b2ffe8bff"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a9769485dc9f11852020b153b2ffe8bff"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9769485dc9f11852020b153b2ffe8bff">stan::math::mdivide_right</a> (const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</td></tr>
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+<div class="title">mdivide_right.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2mdivide__right_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_MDIVIDE_RIGHT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_MDIVIDE_RIGHT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__right_8hpp.html">stan/math/prim/mat/fun/mdivide_right.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2typedefs_8hpp.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2inverse_8hpp.html">stan/math/fwd/mat/fun/inverse.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2multiply_8hpp.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2fun_2to__fvar_8hpp.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2inverse_8hpp.html">stan/math/prim/mat/fun/inverse.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    Eigen::Matrix&lt;fvar&lt;T&gt;, R1, C2&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">mdivide_right</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R1, C1&gt; &amp;A,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                  <span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R2, C2&gt; &amp;b) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a>;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">stan::math::mdivide_right</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;mdivide_right&quot;</span>, <span class="stringliteral">&quot;b&quot;</span>, b);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_right&quot;</span>,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                                                <span class="stringliteral">&quot;A&quot;</span>, A,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                                                <span class="stringliteral">&quot;b&quot;</span>, b);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; A_mult_inv_b(A.rows(), b.cols());</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      Eigen::Matrix&lt;T, R1, C2&gt; deriv_A_mult_inv_b(A.rows(), b.cols());</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      Eigen::Matrix&lt;T, R2, C2&gt; deriv_b_mult_inv_b(b.rows(), b.cols());</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      Eigen::Matrix&lt;T, R1, C1&gt; val_A(A.rows(), A.cols());</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      Eigen::Matrix&lt;T, R1, C1&gt; deriv_A(A.rows(), A.cols());</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      Eigen::Matrix&lt;T, R2, C2&gt; val_b(b.rows(), b.cols());</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      Eigen::Matrix&lt;T, R2, C2&gt; deriv_b(b.rows(), b.cols());</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; A.cols(); j++) {</div>
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+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; b.rows(); i++) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          val_b(i, j) = b(i, j).val_;</div>
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+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      deriv_b_mult_inv_b = <a class="code" href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">mdivide_right</a>(deriv_b, val_b);</div>
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+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      Eigen::Matrix&lt;T, R2, C2&gt; deriv_b_mult_inv_b(b.rows(), b.cols());</div>
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+<div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9769485dc9f11852020b153b2ffe8bff">   95</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">mdivide_right</a>(<span class="keyword">const</span> Eigen::Matrix&lt;double, R1, C1&gt; &amp;A,</div>
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+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="prim_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a35a69b84ead3c81cbaff702ac429e1cc"><div class="ttname"><a href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; multiply(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;m, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00021">multiply.hpp:21</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1e3e1362a4de8a9143246413e9bf9e99"><div class="ttname"><a href="namespacestan_1_1math.html#a1e3e1362a4de8a9143246413e9bf9e99">stan::math::to_fvar</a></div><div class="ttdeci">std::vector&lt; fvar&lt; T &gt; &gt; to_fvar(const std::vector&lt; T &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2fun_2to__fvar_8hpp_source.html#l00014">to_fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2inverse_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2inverse_8hpp.html">inverse.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2inverse_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2inverse_8hpp.html">inverse.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__right_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__right_8hpp.html">mdivide_right.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2ad09daa535a7aeda34199d43a8e9e29"><div class="ttname"><a href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">stan::math::mdivide_right</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C2 &gt; mdivide_right(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2mdivide__right_8hpp_source.html#l00024">mdivide_right.hpp:24</a></div></div>
+<div class="ttc" id="mat_2fun_2to__fvar_8hpp_html"><div class="ttname"><a href="mat_2fun_2to__fvar_8hpp.html">to_fvar.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__right_8hpp_source.html">stan/math/prim/mat/fun/mdivide_right.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2inverse_8hpp_source.html">stan/math/fwd/mat/fun/inverse.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a5309461c7fc32ca494e80af0722766af"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a5309461c7fc32ca494e80af0722766af"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5309461c7fc32ca494e80af0722766af">stan::math::mdivide_right_tri_low</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</td></tr>
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+<tr class="memitem:a51cb38185a25a0971268ba6507af8667"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a51cb38185a25a0971268ba6507af8667">stan::math::mdivide_right_tri_low</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="separator:a51cb38185a25a0971268ba6507af8667"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a046824a9236dae195f0c0e5eb69dd8a6"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a046824a9236dae195f0c0e5eb69dd8a6">stan::math::mdivide_right_tri_low</a> (const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</td></tr>
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+<div class="title">mdivide_right_tri_low.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_MDIVIDE_RIGHT_TRI_LOW_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_MDIVIDE_RIGHT_TRI_LOW_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__right_8hpp.html">stan/math/prim/mat/fun/mdivide_right.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2typedefs_8hpp.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                          <span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R2, C2&gt;&amp; b) {</div>
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+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      deriv_A_mult_inv_b = <a class="code" href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">mdivide_right</a>(deriv_A, val_b);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      deriv_b_mult_inv_b = <a class="code" href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">mdivide_right</a>(deriv_b, val_b);</div>
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+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">stan::math::mdivide_right</a>;</div>
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+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      Eigen::Matrix&lt;T, R2, C2&gt; deriv_b_mult_inv_b(b.rows(), b.cols());</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      Eigen::Matrix&lt;T, R1, C1&gt; val_A(A.rows(), A.cols());</div>
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+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = j; i &lt; b.rows(); i++) {</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a35a69b84ead3c81cbaff702ac429e1cc"><div class="ttname"><a href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; multiply(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;m, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00021">multiply.hpp:21</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2inverse_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2inverse_8hpp.html">inverse.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">stan/math/fwd/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_2fun_2multiply_8hpp_source.html">Go to the source code of this file.</a></p>
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+<div class="title">multiply.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2multiply_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_MULTIPLY_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_MULTIPLY_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2typedefs_8hpp.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2fun_2to__fvar_8hpp.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2dot__product_8hpp.html">stan/math/fwd/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      Eigen::Matrix&lt;fvar&lt;T&gt;, R1, C1&gt; res(m.rows(), m.cols());</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; m.rows(); i++) {</div>
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+<div class="ttc" id="fwd_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a495321127b7e0ebdd4d52654d226e16b"><div class="ttname"><a href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">stan::math::dot_product</a></div><div class="ttdeci">fvar&lt; T &gt; dot_product(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;v2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00020">dot_product.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="mat_2fun_2to__fvar_8hpp_html"><div class="ttname"><a href="mat_2fun_2to__fvar_8hpp.html">to_fvar.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
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+<tr class="memitem:a0d671dcfc6f4c1b4896c5d8bc4568acf"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R, R &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0d671dcfc6f4c1b4896c5d8bc4568acf">stan::math::multiply_lower_tri_self_transpose</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</td></tr>
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+<a href="fwd_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_MULTIPLY_LOWER_TRI_SELF_TRANSPOSE_HPP</span></div>
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+<div class="ttc" id="fwd_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a0d671dcfc6f4c1b4896c5d8bc4568acf"><div class="ttname"><a href="namespacestan_1_1math.html#a0d671dcfc6f4c1b4896c5d8bc4568acf">stan::math::multiply_lower_tri_self_transpose</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R, R &gt; multiply_lower_tri_self_transpose(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html#l00017">multiply_lower_tri_self_transpose.hpp:17</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;Eigen/QR&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_2fun_2qr___q_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a4badef735ea8b1cbfca31cbe49a534cf"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a4badef735ea8b1cbfca31cbe49a534cf"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4badef735ea8b1cbfca31cbe49a534cf">stan::math::qr_Q</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</td></tr>
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+<a href="fwd_2mat_2fun_2qr___q_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_QR_Q_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_QR_Q_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;Eigen/QR&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    Eigen::Matrix&lt;fvar&lt;T&gt;, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a4badef735ea8b1cbfca31cbe49a534cf">   15</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4badef735ea8b1cbfca31cbe49a534cf">qr_Q</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; m) {</div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>(<span class="stringliteral">&quot;qr_Q&quot;</span>, <span class="stringliteral">&quot;m.rows()&quot;</span>, m.rows(),</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                                         m.cols());</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      Eigen::HouseholderQR&lt; matrix_fwd_t &gt; qr(m.rows(), m.cols());</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      matrix_fwd_t Q = qr.householderQ();</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; m.cols(); i++)</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;}</div>
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+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a4badef735ea8b1cbfca31cbe49a534cf"><div class="ttname"><a href="namespacestan_1_1math.html#a4badef735ea8b1cbfca31cbe49a534cf">stan::math::qr_Q</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt; qr_Q(const Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2qr___q_8hpp_source.html#l00015">qr_Q.hpp:15</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;Eigen/QR&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ae2c6e003d4aa779acef714b05a153c1c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ae2c6e003d4aa779acef714b05a153c1c"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae2c6e003d4aa779acef714b05a153c1c">stan::math::qr_R</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</td></tr>
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+<a href="fwd_2mat_2fun_2qr___r_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_QR_R_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_QR_R_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    Eigen::Matrix&lt;fvar&lt;T&gt;, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae2c6e003d4aa779acef714b05a153c1c">   15</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae2c6e003d4aa779acef714b05a153c1c">qr_R</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; m) {</div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>(<span class="stringliteral">&quot;qr_R&quot;</span>, <span class="stringliteral">&quot;m.rows()&quot;</span>, m.rows(),</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                                         m.cols());</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      Eigen::HouseholderQR&lt; matrix_fwd_t &gt; qr(m.rows(), m.cols());</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; i; j++)</div>
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+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a97c3c23033e47a923ed5ce26a4deeba5"><div class="ttname"><a href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a></div><div class="ttdeci">bool check_nonzero_size(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if the specified matrix/vector is of non-zero size. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonzero__size_8hpp_source.html#l00030">check_nonzero_size.hpp:30</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">stan/math/fwd/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2quad__form__sym_8hpp_source.html">stan/math/prim/mat/fun/quad_form_sym.hpp</a>&gt;</code><br />
+</div>
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+Functions</h2></td></tr>
+<tr class="memitem:a0e66b8fc7268b26c1f479d762b01f386"><td class="memTemplParams" colspan="2">template&lt;int RA, int CA, int RB, int CB, typename T &gt; </td></tr>
+<tr class="memitem:a0e66b8fc7268b26c1f479d762b01f386"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, CB, CB &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0e66b8fc7268b26c1f479d762b01f386">stan::math::quad_form_sym</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; double, RB, CB &gt; &amp;B)</td></tr>
+<tr class="separator:a0e66b8fc7268b26c1f479d762b01f386"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3c1c0234ed8a502439ec0036a4a352fe"><td class="memTemplParams" colspan="2">template&lt;int RA, int CA, int RB, typename T &gt; </td></tr>
+<tr class="memitem:a3c1c0234ed8a502439ec0036a4a352fe"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3c1c0234ed8a502439ec0036a4a352fe">stan::math::quad_form_sym</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; double, RB, 1 &gt; &amp;B)</td></tr>
+<tr class="separator:a3c1c0234ed8a502439ec0036a4a352fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8628ce031fccb9fb7239f47b433deb91"><td class="memTemplParams" colspan="2">template&lt;int RA, int CA, int RB, int CB, typename T &gt; </td></tr>
+<tr class="memitem:a8628ce031fccb9fb7239f47b433deb91"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, CB, CB &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8628ce031fccb9fb7239f47b433deb91">stan::math::quad_form_sym</a> (const Eigen::Matrix&lt; double, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, RB, CB &gt; &amp;B)</td></tr>
+<tr class="separator:a8628ce031fccb9fb7239f47b433deb91"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:ac02e500c362899803fc0e26058dc0197"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac02e500c362899803fc0e26058dc0197">stan::math::quad_form_sym</a> (const Eigen::Matrix&lt; double, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, RB, 1 &gt; &amp;B)</td></tr>
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diff --git a/doc/api/html/fwd_2mat_2fun_2quad__form__sym_8hpp_source.html b/doc/api/html/fwd_2mat_2fun_2quad__form__sym_8hpp_source.html
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+<div class="title">quad_form_sym.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2quad__form__sym_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_QUAD_FORM_SYM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_QUAD_FORM_SYM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2multiply_8hpp.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2dot__product_8hpp.html">stan/math/fwd/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2quad__form__sym_8hpp.html">stan/math/prim/mat/fun/quad_form_sym.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
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+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0e66b8fc7268b26c1f479d762b01f386">   14</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0e66b8fc7268b26c1f479d762b01f386">quad_form_sym</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, RA, CA&gt;&amp; A,</div>
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+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a35a69b84ead3c81cbaff702ac429e1cc"><div class="ttname"><a href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; multiply(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;m, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00021">multiply.hpp:21</a></div></div>
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+<div class="ttc" id="fwd_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a0e66b8fc7268b26c1f479d762b01f386"><div class="ttname"><a href="namespacestan_1_1math.html#a0e66b8fc7268b26c1f479d762b01f386">stan::math::quad_form_sym</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, CB, CB &gt; quad_form_sym(const Eigen::Matrix&lt; fvar&lt; T &gt;, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; double, RB, CB &gt; &amp;B)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2quad__form__sym_8hpp_source.html#l00014">quad_form_sym.hpp:14</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a89f315f3af384f2d49a3a26eaef209ac"><div class="ttname"><a href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">stan::math::transpose</a></div><div class="ttdeci">Eigen::Matrix&lt; T, C, R &gt; transpose(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="transpose_8hpp_source.html#l00012">transpose.hpp:12</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="title">rows_dot_product.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__dims_8hpp_source.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">stan/math/fwd/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_2fun_2rows__dot__product_8hpp_source.html">Go to the source code of this file.</a></p>
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+<div class="title">rows_dot_product.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2rows__dot__product_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_ROWS_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_ROWS_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__dims_8hpp.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2typedefs_8hpp.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2dot__product_8hpp.html">stan/math/fwd/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
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+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a060626b1758db1e659c0820f77eb7dcf">   18</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a060626b1758db1e659c0820f77eb7dcf">rows_dot_product</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R1, C1&gt;&amp; v1,</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                     <span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R2, C2&gt;&amp; v2) {</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    Eigen::Matrix&lt;fvar&lt;T&gt;, R1, 1&gt;</div>
+<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac6b02f2791c9c5a29811bf411e5f6e4b">   52</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a060626b1758db1e659c0820f77eb7dcf">rows_dot_product</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R1, C1&gt;&amp; v1,</div>
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+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+<div class="ttc" id="check__matching__dims_8hpp_html"><div class="ttname"><a href="check__matching__dims_8hpp.html">check_matching_dims.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="fwd_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2dot__self_8hpp_source.html">stan/math/fwd/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memitem:a6b6208b5b257e2a7efac35e88ab93e8c"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a6b6208b5b257e2a7efac35e88ab93e8c"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6b6208b5b257e2a7efac35e88ab93e8c">stan::math::rows_dot_self</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;x)</td></tr>
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+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2softmax_8hpp_source.html">stan/math/prim/mat/fun/softmax.hpp</a>&gt;</code><br />
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+<tr class="memitem:a6f57ef7820025c7b350f84c3aebfe45e"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">stan::math::softmax</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt; &amp;alpha)</td></tr>
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+<a href="fwd_2mat_2fun_2softmax_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_SOFTMAX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_SOFTMAX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    Eigen::Matrix&lt;fvar&lt;T&gt;, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">   14</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">softmax</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, Eigen::Dynamic, 1&gt;&amp; alpha) {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">stan::math::softmax</a>;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; alpha_t(alpha.size());</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; alpha.size(); ++k)</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        alpha_t(k) = alpha(k).val_;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; softmax_alpha_t = <a class="code" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">softmax</a>(alpha_t);</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      Matrix&lt;fvar&lt;T&gt;, Dynamic, 1&gt; softmax_alpha(alpha.size());</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; alpha.size(); ++k) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        softmax_alpha(k).val_ = softmax_alpha_t(k);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        softmax_alpha(k).d_ = 0;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="comment">// for each input position</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> m = 0; m &lt; alpha.size(); ++m) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="comment">// for each output position</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        T negative_alpha_m_d_times_softmax_alpha_t_m</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2softmax_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2softmax_8hpp.html">softmax.hpp</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;functional&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_2fun_2sort__asc_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a941784bb46a4a2fabf3deacebbd71ec5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a941784bb46a4a2fabf3deacebbd71ec5"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; fvar&lt; T &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a941784bb46a4a2fabf3deacebbd71ec5">stan::math::sort_asc</a> (std::vector&lt; fvar&lt; T &gt; &gt; xs)</td></tr>
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+<tr class="memitem:a4181de091dfd2ded22cefa4df86720e6"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a4181de091dfd2ded22cefa4df86720e6"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4181de091dfd2ded22cefa4df86720e6">stan::math::sort_asc</a> (Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; xs)</td></tr>
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+<a href="fwd_2mat_2fun_2sort__asc_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_SORT_ASC_HPP</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;functional&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_2fun_2sort__desc_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a7c06412237c5d6879a4c07f0706303e9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a7c06412237c5d6879a4c07f0706303e9"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; fvar&lt; T &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7c06412237c5d6879a4c07f0706303e9">stan::math::sort_desc</a> (std::vector&lt; fvar&lt; T &gt; &gt; xs)</td></tr>
+<tr class="separator:a7c06412237c5d6879a4c07f0706303e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a27e74300574eb2a6e80e0f4cb029596e"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a27e74300574eb2a6e80e0f4cb029596e">stan::math::sort_desc</a> (Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; xs)</td></tr>
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+<a href="fwd_2mat_2fun_2sort__desc_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_SORT_DESC_HPP</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_2fun_2sum_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a03ac5708411da911ccf11be4a5f511f5"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a03ac5708411da911ccf11be4a5f511f5"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a03ac5708411da911ccf11be4a5f511f5">stan::math::sum</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:a03ac5708411da911ccf11be4a5f511f5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sum of the entries of the specified matrix.  <a href="namespacestan_1_1math.html#a03ac5708411da911ccf11be4a5f511f5">More...</a><br /></td></tr>
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+<a href="fwd_2mat_2fun_2sum_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_SUM_HPP</span></div>
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+<tr class="memitem:ab379e9a9f74dab16c41d82978cc4b58e"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; fvar&lt; T &gt;, R, R &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab379e9a9f74dab16c41d82978cc4b58e">stan::math::tcrossprod</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="trace_8hpp_source.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:acd59dd23ba6d346713d117001b99507f"><td class="memTemplParams" colspan="2">template&lt;int RD, int CD, int RA, int CA, int RB, int CB, typename T &gt; </td></tr>
+<tr class="memitem:acd59dd23ba6d346713d117001b99507f"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acd59dd23ba6d346713d117001b99507f">stan::math::trace_gen_quad_form</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, RD, CD &gt; &amp;D, const Eigen::Matrix&lt; fvar&lt; T &gt;, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, RB, CB &gt; &amp;B)</td></tr>
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+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2trace__gen__quad__form_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_TRACE_GEN_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_TRACE_GEN_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2multiply_8hpp.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="trace_8hpp.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="transpose_8hpp.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> RD, <span class="keywordtype">int</span> CD, <span class="keywordtype">int</span> RA, <span class="keywordtype">int</span> CA, <span class="keywordtype">int</span> RB, <span class="keywordtype">int</span> CB, <span class="keyword">typename</span> T&gt;</div>
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+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
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+<tr class="memitem:a3e0c22a58b3d6fe9d4d6e0131ca791a6"><td class="memTemplParams" colspan="2">template&lt;int RA, int CA, int RB, int CB, typename T &gt; </td></tr>
+<tr class="memitem:a3e0c22a58b3d6fe9d4d6e0131ca791a6"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3e0c22a58b3d6fe9d4d6e0131ca791a6">stan::math::trace_quad_form</a> (const Eigen::Matrix&lt; fvar&lt; T &gt;, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, RB, CB &gt; &amp;B)</td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_TRACE_QUAD_FORM_HPP</span></div>
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+Typedefs</h2></td></tr>
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+<tr class="memitem:a12edd55403c6b7a6a7a859aef1990df5"><td class="memItemLeft" align="right" valign="top">typedef Eigen::Matrix&lt; fvar&lt; double &gt;, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a12edd55403c6b7a6a7a859aef1990df5">stan::math::matrix_fd</a></td></tr>
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+<div class="title">typedefs.hpp</div>  </div>
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+<a href="fwd_2mat_2fun_2typedefs_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_TYPEDEFS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_TYPEDEFS_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a846bbc633c1a4c67cd805bbf61f42be0"><div class="ttname"><a href="namespacestan_1_1math.html#a846bbc633c1a4c67cd805bbf61f42be0">stan::math::vector_ffd</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; fvar&lt; double &gt; &gt;, Eigen::Dynamic, 1 &gt; vector_ffd</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00029">typedefs.hpp:29</a></div></div>
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+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html">stan/math/fwd/mat/fun/divide.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2dot__self_8hpp_source.html">stan/math/fwd/mat/fun/dot_self.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2tcrossprod_8hpp_source.html">stan/math/prim/mat/fun/tcrossprod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2unit__vector__constrain_8hpp_source.html">stan/math/prim/mat/fun/unit_vector_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv_8hpp_source.html">stan/math/prim/scal/fun/inv.hpp</a>&gt;</code><br />
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+<div class="title">unit_vector_constrain.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2fun_2unit__vector__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_UNIT_VECTOR_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_UNIT_VECTOR_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2divide_8hpp.html">stan/math/fwd/mat/fun/divide.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2dot__self_8hpp.html">stan/math/fwd/mat/fun/dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2tcrossprod_8hpp.html">stan/math/fwd/mat/fun/tcrossprod.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2sqrt_8hpp.html">stan/math/fwd/scal/fun/sqrt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2divide_8hpp.html">stan/math/prim/mat/fun/divide.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2tcrossprod_8hpp.html">stan/math/prim/mat/fun/tcrossprod.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2unit__vector__constrain_8hpp.html">stan/math/prim/mat/fun/unit_vector_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv_8hpp.html">stan/math/prim/scal/fun/inv.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;fvar&lt;T&gt;, R, C&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3a54fcd529b19a23342fda465553366c">   20</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a3a54fcd529b19a23342fda465553366c">unit_vector_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>, R, C&gt;&amp; y) {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      Matrix&lt;T, R, C&gt; y_t(y.size());</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      Matrix&lt;T, R, C&gt; unit_vector_y_t</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        = <a class="code" href="namespacestan_1_1math.html#a3a54fcd529b19a23342fda465553366c">unit_vector_constrain</a>(y_t);</div>
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+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">const</span> T squared_norm = <a class="code" href="namespacestan_1_1math.html#a1edae52ce70f3f0a9f7eb15f3416007c">dot_self</a>(y_t);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">const</span> T norm = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(squared_norm);</div>
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+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_2functor_2gradient_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:a410200762bf5cf510708cc72e89cd00c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the value and the gradient of the specified function at the specified argument.  <a href="namespacestan_1_1math.html#a410200762bf5cf510708cc72e89cd00c">More...</a><br /></td></tr>
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+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a410200762bf5cf510708cc72e89cd00c"><div class="ttname"><a href="namespacestan_1_1math.html#a410200762bf5cf510708cc72e89cd00c">stan::math::gradient</a></div><div class="ttdeci">void gradient(const F &amp;f, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, T &amp;fx, Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;grad_fx)</div><div class="ttdoc">Calculate the value and the gradient of the specified function at the specified argument. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2functor_2gradient_8hpp_source.html#l00041">gradient.hpp:41</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memitem:a130c490b4d72b62bac8d835492731da3"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a130c490b4d72b62bac8d835492731da3">stan::math::jacobian</a> (const F &amp;f, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;fx, Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;J)</td></tr>
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+<a href="fwd_2mat_2functor_2jacobian_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUNCTOR_JACOBIAN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUNCTOR_JACOBIAN_HPP</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> F&gt;</div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;             <span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x,</div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;          fx.resize(fx_fvar.size());</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;            fx(k) = fx_fvar(k).<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        }</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; fx_fvar.size(); ++k) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;          J(k, i) = fx_fvar(k).<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        }</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      }</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    }</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  }  <span class="comment">// namespace math</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;}  <span class="comment">// namespace stan</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a130c490b4d72b62bac8d835492731da3"><div class="ttname"><a href="namespacestan_1_1math.html#a130c490b4d72b62bac8d835492731da3">stan::math::jacobian</a></div><div class="ttdeci">void jacobian(const F &amp;f, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;fx, Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;J)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2functor_2jacobian_8hpp_source.html#l00014">jacobian.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">stan/math/prim/mat/vectorize/apply_scalar_unary.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fvar_8hpp_source.html">stan/math/fwd/core/fvar.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">Go to the source code of this file.</a></p>
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+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template specialization to fvar for vectorizing a unary scalar function.  <a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#details">More...</a><br /></td></tr>
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+  <div class="headertitle">
+<div class="title">apply_scalar_unary.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_VECTORIZE_APPLY_UNARY_SCALAR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_VECTORIZE_APPLY_UNARY_SCALAR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp.html">stan/math/prim/mat/vectorize/apply_scalar_unary.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fvar_8hpp.html">stan/math/fwd/core/fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F, <span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">   22</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html">apply_scalar_unary</a>&lt;F, <a class="code" href="namespacestan.html">stan</a>::<a class="code" href="structstan_1_1math_1_1fvar.html">math::fvar</a>&lt;T&gt; &gt; {</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac2d8840f678c586a3055f4609c9bbcf4">   27</a></span>&#160;      <span class="keyword">typedef</span> <a class="code" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt;T&gt;</a> <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac2d8840f678c586a3055f4609c9bbcf4">return_t</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a25197be9e9c54310bc9e2c478ce5d94e">   35</a></span>&#160;      <span class="keyword">static</span> <span class="keyword">inline</span> return_t <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a25197be9e9c54310bc9e2c478ce5d94e">apply</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt;T&gt;</a>&amp; x) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="keywordflow">return</span> F::fun(x);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      }</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    };</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;}</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_ac2d8840f678c586a3055f4609c9bbcf4"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac2d8840f678c586a3055f4609c9bbcf4">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;::return_t</a></div><div class="ttdeci">stan::math::fvar&lt; T &gt; return_t</div><div class="ttdoc">Function return type, which is same as the argument type for the function, fvar<T>. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00027">apply_scalar_unary.hpp:27</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_a25197be9e9c54310bc9e2c478ce5d94e"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a25197be9e9c54310bc9e2c478ce5d94e">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;::apply</a></div><div class="ttdeci">static return_t apply(const stan::math::fvar&lt; T &gt; &amp;x)</div><div class="ttdoc">Apply the function specified by F to the specified argument. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00035">apply_scalar_unary.hpp:35</a></div></div>
+<div class="ttc" id="fvar_8hpp_html"><div class="ttname"><a href="fvar_8hpp.html">fvar.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_html"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a></div><div class="ttdoc">Base template class for vectorization of unary scalar functions defined by a template class F to a sc...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00036">apply_scalar_unary.hpp:36</a></div></div>
+<div class="ttc" id="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_html"><div class="ttname"><a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp.html">apply_scalar_unary.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+  <i>&copy; 2011&ndash;2016,
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_891b99f71c153bb46cf7117b6e9a16c0.html">fwd</a></li>  </ul>
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+  <div class="headertitle">
+<div class="title">mat.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html">stan/math/fwd/scal/meta/is_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2partials__type_8hpp_source.html">stan/math/fwd/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_8hpp_source.html">stan/math/prim/mat.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2arr_8hpp_source.html">stan/math/fwd/arr.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">stan/math/fwd/mat/fun/Eigen_NumTraits.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2columns__dot__product_8hpp_source.html">stan/math/fwd/mat/fun/columns_dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2columns__dot__self_8hpp_source.html">stan/math/fwd/mat/fun/columns_dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2crossprod_8hpp_source.html">stan/math/fwd/mat/fun/crossprod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2determinant_8hpp_source.html">stan/math/fwd/mat/fun/determinant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html">stan/math/fwd/mat/fun/divide.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">stan/math/fwd/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2dot__self_8hpp_source.html">stan/math/fwd/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2inverse_8hpp_source.html">stan/math/fwd/mat/fun/inverse.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2log__determinant_8hpp_source.html">stan/math/fwd/mat/fun/log_determinant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2log__softmax_8hpp_source.html">stan/math/fwd/mat/fun/log_softmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2log__sum__exp_8hpp_source.html">stan/math/fwd/mat/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2mdivide__left_8hpp_source.html">stan/math/fwd/mat/fun/mdivide_left.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">stan/math/fwd/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">stan/math/fwd/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2mdivide__right_8hpp_source.html">stan/math/fwd/mat/fun/mdivide_right.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html">stan/math/fwd/mat/fun/mdivide_right_tri_low.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">stan/math/fwd/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2qr___q_8hpp_source.html">stan/math/fwd/mat/fun/qr_Q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2qr___r_8hpp_source.html">stan/math/fwd/mat/fun/qr_R.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2quad__form__sym_8hpp_source.html">stan/math/fwd/mat/fun/quad_form_sym.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2rows__dot__product_8hpp_source.html">stan/math/fwd/mat/fun/rows_dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2rows__dot__self_8hpp_source.html">stan/math/fwd/mat/fun/rows_dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2softmax_8hpp_source.html">stan/math/fwd/mat/fun/softmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2sort__asc_8hpp_source.html">stan/math/fwd/mat/fun/sort_asc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2sort__desc_8hpp_source.html">stan/math/fwd/mat/fun/sort_desc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2sum_8hpp_source.html">stan/math/fwd/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2tcrossprod_8hpp_source.html">stan/math/fwd/mat/fun/tcrossprod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">stan/math/fwd/mat/fun/trace_gen_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2trace__quad__form_8hpp_source.html">stan/math/fwd/mat/fun/trace_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2fun_2unit__vector__constrain_8hpp_source.html">stan/math/fwd/mat/fun/unit_vector_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2functor_2gradient_8hpp_source.html">stan/math/fwd/mat/functor/gradient.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_2functor_2jacobian_8hpp_source.html">stan/math/fwd/mat/functor/jacobian.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2mat_8hpp_source.html">Go to the source code of this file.</a></p>
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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new file mode 100644
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+<a href="fwd_2mat_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2meta_2is__fvar_8hpp.html">stan/math/fwd/scal/meta/is_fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2meta_2partials__type_8hpp.html">stan/math/fwd/scal/meta/partials_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_8hpp.html">stan/math/prim/mat.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2arr_8hpp.html">stan/math/fwd/arr.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp.html">stan/math/fwd/mat/fun/Eigen_NumTraits.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2columns__dot__product_8hpp.html">stan/math/fwd/mat/fun/columns_dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2columns__dot__self_8hpp.html">stan/math/fwd/mat/fun/columns_dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2crossprod_8hpp.html">stan/math/fwd/mat/fun/crossprod.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2determinant_8hpp.html">stan/math/fwd/mat/fun/determinant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2divide_8hpp.html">stan/math/fwd/mat/fun/divide.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2dot__product_8hpp.html">stan/math/fwd/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2dot__self_8hpp.html">stan/math/fwd/mat/fun/dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2inverse_8hpp.html">stan/math/fwd/mat/fun/inverse.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2log__determinant_8hpp.html">stan/math/fwd/mat/fun/log_determinant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2log__softmax_8hpp.html">stan/math/fwd/mat/fun/log_softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2log__sum__exp_8hpp.html">stan/math/fwd/mat/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2mdivide__left_8hpp.html">stan/math/fwd/mat/fun/mdivide_left.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2mdivide__left__ldlt_8hpp.html">stan/math/fwd/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp.html">stan/math/fwd/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2mdivide__right_8hpp.html">stan/math/fwd/mat/fun/mdivide_right.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp.html">stan/math/fwd/mat/fun/mdivide_right_tri_low.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2multiply_8hpp.html">stan/math/fwd/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">stan/math/fwd/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2qr___q_8hpp.html">stan/math/fwd/mat/fun/qr_Q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2qr___r_8hpp.html">stan/math/fwd/mat/fun/qr_R.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2quad__form__sym_8hpp.html">stan/math/fwd/mat/fun/quad_form_sym.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2rows__dot__product_8hpp.html">stan/math/fwd/mat/fun/rows_dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2rows__dot__self_8hpp.html">stan/math/fwd/mat/fun/rows_dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2softmax_8hpp.html">stan/math/fwd/mat/fun/softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2sort__asc_8hpp.html">stan/math/fwd/mat/fun/sort_asc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2sort__desc_8hpp.html">stan/math/fwd/mat/fun/sort_desc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2sum_8hpp.html">stan/math/fwd/mat/fun/sum.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2tcrossprod_8hpp.html">stan/math/fwd/mat/fun/tcrossprod.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2fun_2to__fvar_8hpp.html">stan/math/fwd/mat/fun/to_fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2trace__gen__quad__form_8hpp.html">stan/math/fwd/mat/fun/trace_gen_quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2trace__quad__form_8hpp.html">stan/math/fwd/mat/fun/trace_quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2typedefs_8hpp.html">stan/math/fwd/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2fun_2unit__vector__constrain_8hpp.html">stan/math/fwd/mat/fun/unit_vector_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2functor_2gradient_8hpp.html">stan/math/fwd/mat/functor/gradient.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2mat_2functor_2jacobian_8hpp.html">stan/math/fwd/mat/functor/jacobian.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2mat_2fun_2mdivide__left__ldlt_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2mdivide__left__ldlt_8hpp.html">mdivide_left_ldlt.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2log__sum__exp_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2log__sum__exp_8hpp.html">log_sum_exp.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp.html">mdivide_right_tri_low.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2tcrossprod_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2tcrossprod_8hpp.html">tcrossprod.hpp</a></div></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2functor_2jacobian_8hpp_html"><div class="ttname"><a href="fwd_2mat_2functor_2jacobian_8hpp.html">jacobian.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2crossprod_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2crossprod_8hpp.html">crossprod.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2sort__asc_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2sort__asc_8hpp.html">sort_asc.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2softmax_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2softmax_8hpp.html">softmax.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2columns__dot__product_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2columns__dot__product_8hpp.html">columns_dot_product.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2mdivide__left_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2mdivide__left_8hpp.html">mdivide_left.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2trace__gen__quad__form_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2trace__gen__quad__form_8hpp.html">trace_gen_quad_form.hpp</a></div></div>
+<div class="ttc" id="fwd_2arr_8hpp_html"><div class="ttname"><a href="fwd_2arr_8hpp.html">arr.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2sum_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2sum_8hpp.html">sum.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2_eigen___num_traits_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp.html">Eigen_NumTraits.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2quad__form__sym_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2quad__form__sym_8hpp.html">quad_form_sym.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2sort__desc_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2sort__desc_8hpp.html">sort_desc.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2determinant_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2determinant_8hpp.html">determinant.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2meta_2is__fvar_8hpp_html"><div class="ttname"><a href="fwd_2scal_2meta_2is__fvar_8hpp.html">is_fvar.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2rows__dot__self_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2rows__dot__self_8hpp.html">rows_dot_self.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2rows__dot__product_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2rows__dot__product_8hpp.html">rows_dot_product.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2dot__self_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2dot__self_8hpp.html">dot_self.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2log__determinant_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2log__determinant_8hpp.html">log_determinant.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2unit__vector__constrain_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2unit__vector__constrain_8hpp.html">unit_vector_constrain.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp.html">mdivide_left_tri_low.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2inverse_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2inverse_8hpp.html">inverse.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2columns__dot__self_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2columns__dot__self_8hpp.html">columns_dot_self.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_8hpp_html"><div class="ttname"><a href="prim_2mat_8hpp.html">mat.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2meta_2partials__type_8hpp_html"><div class="ttname"><a href="fwd_2scal_2meta_2partials__type_8hpp.html">partials_type.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2functor_2gradient_8hpp_html"><div class="ttname"><a href="fwd_2mat_2functor_2gradient_8hpp.html">gradient.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2mdivide__right_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2mdivide__right_8hpp.html">mdivide_right.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2_phi_8hpp_source.html">stan/math/prim/scal/fun/Phi.hpp</a>&gt;</code><br />
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+<a href="fwd_2scal_2fun_2_phi_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_PHI_HPP</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2_phi_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2_phi_8hpp.html">Phi.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2abs_8hpp_source.html">stan/math/prim/scal/fun/abs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="likely_8hpp_source.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</code><br />
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+<p><a href="fwd_2scal_2fun_2abs_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
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+<tr class="memitem:ae560b842e3ed6e5939dc2177bf158265"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae560b842e3ed6e5939dc2177bf158265">stan::math::abs</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2abs_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_ABS_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2value__of_8hpp.html">stan/math/fwd/scal/fun/value_of.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memitem:a6952d8c23d69dc891dbe78e7d4ea7a80"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6952d8c23d69dc891dbe78e7d4ea7a80"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6952d8c23d69dc891dbe78e7d4ea7a80">stan::math::acos</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2acos_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_ACOS_HPP</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a6952d8c23d69dc891dbe78e7d4ea7a80"><div class="ttname"><a href="namespacestan_1_1math.html#a6952d8c23d69dc891dbe78e7d4ea7a80">stan::math::acos</a></div><div class="ttdeci">fvar&lt; T &gt; acos(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2acos_8hpp_source.html#l00014">acos.hpp:14</a></div></div>
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+<div class="title">acosh.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<p><a href="fwd_2scal_2fun_2acosh_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ae033720f1a26c44aa9d7fb4dcf547155"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ae033720f1a26c44aa9d7fb4dcf547155"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae033720f1a26c44aa9d7fb4dcf547155">stan::math::acosh</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+</div><!--header-->
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+<a href="fwd_2scal_2fun_2acosh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_ACOSH_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_ACOSH_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a1ab75d0165599717cfd1e90f7edcf250"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a1ab75d0165599717cfd1e90f7edcf250"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1ab75d0165599717cfd1e90f7edcf250">stan::math::asin</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2asin_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_ASIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_ASIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<p><a href="fwd_2scal_2fun_2asinh_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a68af8aec6bd04b4d40e5bce59f82b97c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a68af8aec6bd04b4d40e5bce59f82b97c"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a68af8aec6bd04b4d40e5bce59f82b97c">stan::math::asinh</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2asinh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_ASINH_HPP</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memitem:a0c4868ee5c5ab673ee54e5dce3be37f1"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a0c4868ee5c5ab673ee54e5dce3be37f1"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0c4868ee5c5ab673ee54e5dce3be37f1">stan::math::atan2</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
+<tr class="separator:a0c4868ee5c5ab673ee54e5dce3be37f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="fwd_2scal_2fun_2atan2_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_ATAN2_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="title">atan.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2fun_2atan_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a6f0398656b862b1b2eb80145f4877b11"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6f0398656b862b1b2eb80145f4877b11"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6f0398656b862b1b2eb80145f4877b11">stan::math::atan</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
+<tr class="separator:a6f0398656b862b1b2eb80145f4877b11"><td class="memSeparator" colspan="2">&#160;</td></tr>
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diff --git a/doc/api/html/fwd_2scal_2fun_2atan_8hpp_source.html b/doc/api/html/fwd_2scal_2fun_2atan_8hpp_source.html
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+<a href="fwd_2scal_2fun_2atan_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_ATAN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_ATAN_HPP</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
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+<tr class="memitem:a9e31606b2cbc69573ec0d7693c8b2a2c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9e31606b2cbc69573ec0d7693c8b2a2c"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9e31606b2cbc69573ec0d7693c8b2a2c">stan::math::atanh</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2atanh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_ATANH_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_ATANH_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a9cbf81b5222fb11c01b539fab0434bdd">using ::atanh</a>;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    }</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  }</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;}</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9e31606b2cbc69573ec0d7693c8b2a2c"><div class="ttname"><a href="namespacestan_1_1math.html#a9e31606b2cbc69573ec0d7693c8b2a2c">stan::math::atanh</a></div><div class="ttdeci">fvar&lt; T &gt; atanh(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2atanh_8hpp_source.html#l00013">atanh.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9cbf81b5222fb11c01b539fab0434bdd"><div class="ttname"><a href="namespacestan_1_1math.html#a9cbf81b5222fb11c01b539fab0434bdd">stan::math::atanh</a></div><div class="ttdeci">var atanh(const var &amp;a)</div><div class="ttdoc">The inverse hyperbolic tangent function for variables (C99). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2atanh_8hpp_source.html#l00070">atanh.hpp:70</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2bessel__first__kind_8hpp_source.html">stan/math/prim/scal/fun/bessel_first_kind.hpp</a>&gt;</code><br />
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+<tr class="memitem:a0f08e25e46df323a2429edc45d1c8954"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0f08e25e46df323a2429edc45d1c8954">stan::math::bessel_first_kind</a> (int v, const fvar&lt; T &gt; &amp;z)</td></tr>
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+<a href="fwd_2scal_2fun_2bessel__first__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_BESSEL_FIRST_KIND_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_BESSEL_FIRST_KIND_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0f08e25e46df323a2429edc45d1c8954">   15</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0f08e25e46df323a2429edc45d1c8954">bessel_first_kind</a>(<span class="keywordtype">int</span> v, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; z) {</div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(bessel_first_kind_z,</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                     - z.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a0f08e25e46df323a2429edc45d1c8954">bessel_first_kind</a>(v + 1, z.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>));</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    }</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  }</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;}</div>
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+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0f08e25e46df323a2429edc45d1c8954"><div class="ttname"><a href="namespacestan_1_1math.html#a0f08e25e46df323a2429edc45d1c8954">stan::math::bessel_first_kind</a></div><div class="ttdeci">fvar&lt; T &gt; bessel_first_kind(int v, const fvar&lt; T &gt; &amp;z)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2bessel__first__kind_8hpp_source.html#l00015">bessel_first_kind.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2bessel__first__kind_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2bessel__first__kind_8hpp.html">bessel_first_kind.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2bessel__second__kind_8hpp_source.html">stan/math/prim/scal/fun/bessel_second_kind.hpp</a>&gt;</code><br />
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+<a href="fwd_2scal_2fun_2bessel__second__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_BESSEL_SECOND_KIND_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab0b227eac2dd4cbc55462ecebe940294"><div class="ttname"><a href="namespacestan_1_1math.html#ab0b227eac2dd4cbc55462ecebe940294">stan::math::bessel_second_kind</a></div><div class="ttdeci">fvar&lt; T &gt; bessel_second_kind(int v, const fvar&lt; T &gt; &amp;z)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2bessel__second__kind_8hpp_source.html#l00015">bessel_second_kind.hpp:15</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2bessel__second__kind_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2bessel__second__kind_8hpp.html">bessel_second_kind.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binary__log__loss_8hpp_source.html">stan/math/prim/scal/fun/binary_log_loss.hpp</a>&gt;</code><br />
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+<tr class="memitem:ae0d069b5730083b0203812d63c6f62f3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ae0d069b5730083b0203812d63c6f62f3"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae0d069b5730083b0203812d63c6f62f3">stan::math::binary_log_loss</a> (const int y, const fvar&lt; T &gt; &amp;y_hat)</td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_BINARY_LOG_LOSS_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:ab3ae920ef2089bb1686eb51c3dc153b4"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ab3ae920ef2089bb1686eb51c3dc153b4"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">stan::math::binomial_coefficient_log</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
+<tr class="separator:ab3ae920ef2089bb1686eb51c3dc153b4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a113b2443c22c0859cc797b7c1bdea59f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="fwd_2scal_2fun_2binomial__coefficient__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_BINOMIAL_COEFFICIENT_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_BINOMIAL_COEFFICIENT_LOG_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">   16</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">stan::math::binomial_coefficient_log</a>;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> cutoff = 1000;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keywordflow">if</span> ((x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> &lt; cutoff) || (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> &lt; cutoff)) {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>),</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                       x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1)</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                       - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1)</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                       - (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>) * <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1));</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>),</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                       x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                       + x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> * (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>) / (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                       + x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> / (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                       + (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 0.5) / (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> / (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                       * (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                          - (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>) * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                       / ((x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) * (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                       - x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> / (12.0 * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                       - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                       + (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>) / (12.0 * (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                                            * (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                       - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1) * x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a113b2443c22c0859cc797b7c1bdea59f">   46</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <span class="keywordtype">double</span> x2) {</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">stan::math::binomial_coefficient_log</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> cutoff = 1000;</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2),</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                       x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1)</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                       - x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2 + 1));</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      } <span class="keywordflow">else</span> {</div>
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+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                       x2 * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> / (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2)</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                       + x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> / (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2))</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                       + (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 0.5) / (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> / (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2))</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                       * (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2) - x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                       / ((x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2) * (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2))</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                       - x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> / (12.0 * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                       + x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> / (12.0 * (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2) * (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2)));</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6d6816ab0a50a160820063ffe087a826">   70</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">stan::math::binomial_coefficient_log</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> cutoff = 1000;</div>
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+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                       -x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1)</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                       - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x1 - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1));</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(x1, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>),</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                       x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(x1 - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                       + x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> * -x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> / (x1 - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                       - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                       - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> / (12.0 * (x1 - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) * (x1 - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                       + x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * (x1 + 0.5) / (x1 - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                       - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1) * x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      }</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    }</div>
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+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;}</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab3ae920ef2089bb1686eb51c3dc153b4"><div class="ttname"><a href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">stan::math::binomial_coefficient_log</a></div><div class="ttdeci">fvar&lt; T &gt; binomial_coefficient_log(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2binomial__coefficient__log_8hpp_source.html#l00016">binomial_coefficient_log.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2fun_2cbrt_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a64c0dfe5862fc53f1a18d76f14a1dc7e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a64c0dfe5862fc53f1a18d76f14a1dc7e"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a64c0dfe5862fc53f1a18d76f14a1dc7e">stan::math::cbrt</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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diff --git a/doc/api/html/fwd_2scal_2fun_2cbrt_8hpp_source.html b/doc/api/html/fwd_2scal_2fun_2cbrt_8hpp_source.html
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+<a href="fwd_2scal_2fun_2cbrt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_CBRT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_CBRT_HPP</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">inline</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a64c0dfe5862fc53f1a18d76f14a1dc7e"><div class="ttname"><a href="namespacestan_1_1math.html#a64c0dfe5862fc53f1a18d76f14a1dc7e">stan::math::cbrt</a></div><div class="ttdeci">fvar&lt; T &gt; cbrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2cbrt_8hpp_source.html#l00014">cbrt.hpp:14</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2a865962fcd8998de077f4a77b0a4ffa"><div class="ttname"><a href="namespacestan_1_1math.html#a2a865962fcd8998de077f4a77b0a4ffa">stan::math::cbrt</a></div><div class="ttdeci">var cbrt(const var &amp;a)</div><div class="ttdoc">Returns the cube root of the specified variable (C99). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2cbrt_8hpp_source.html#l00056">cbrt.hpp:56</a></div></div>
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+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memitem:ae6cb3a9041ae0b7855b398c3e11cda48"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ae6cb3a9041ae0b7855b398c3e11cda48"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae6cb3a9041ae0b7855b398c3e11cda48">stan::math::cos</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2cos_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_COS_HPP</span></div>
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+<a href="fwd_2scal_2fun_2cosh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_COSH_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="trigamma_8hpp_source.html">stan/math/prim/scal/fun/trigamma.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a69702aaa101bf602072fa7bf5fccb48a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a69702aaa101bf602072fa7bf5fccb48a"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2digamma_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_DIGAMMA_HPP</span></div>
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+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="trigamma_8hpp_html"><div class="ttname"><a href="trigamma_8hpp.html">trigamma.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa283efca22c0544054a6534443e6e762"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aa283efca22c0544054a6534443e6e762"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math::erf</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2erf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_ERF_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:ab4c763e4f09069eed96a4e96e33ea8ea"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ab4c763e4f09069eed96a4e96e33ea8ea"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">stan::math::erfc</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2exp2_8hpp_source.html">stan/math/prim/scal/fun/exp2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a8c3a577694c8f584e56160580fe0821b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8c3a577694c8f584e56160580fe0821b"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8c3a577694c8f584e56160580fe0821b">stan::math::exp2</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2exp2_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_EXP2_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_EXP2_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2exp2_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2exp2_8hpp.html">exp2.hpp</a></div></div>
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+<code>#include &lt;cmath&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a11f31444e8584e4debf0d6b706d66880"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a11f31444e8584e4debf0d6b706d66880"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_EXP_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
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+<div class="title">expm1.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a8a76b658b94fcf8943f4fb41c586ec94"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8a76b658b94fcf8943f4fb41c586ec94"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8a76b658b94fcf8943f4fb41c586ec94">stan::math::expm1</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
+<tr class="separator:a8a76b658b94fcf8943f4fb41c586ec94"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">expm1.hpp</div>  </div>
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+<a href="fwd_2scal_2fun_2expm1_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_EXPM1_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_EXPM1_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00012"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8a76b658b94fcf8943f4fb41c586ec94">   12</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#a8a76b658b94fcf8943f4fb41c586ec94">expm1</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x) {</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="likely_8hpp_source.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</code><br />
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+<tr class="memitem:a6c79c9be5c64873b74f3c6924fef6911"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6c79c9be5c64873b74f3c6924fef6911"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">stan::math::fabs</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2fabs_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_FABS_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2falling__factorial_8hpp_source.html">stan/math/prim/scal/fun/falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
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+  <div class="headertitle">
+<div class="title">falling_factorial.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2scal_2fun_2falling__factorial_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_FALLING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_FALLING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2falling__factorial_8hpp.html">stan/math/prim/scal/fun/falling_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">inline</span> fvar&lt;T&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">   15</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">falling_factorial</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; n) {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">stan::math::falling_factorial</a>;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      T falling_fact(<a class="code" href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">falling_factorial</a>(x.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, n.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>));</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(falling_fact,</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                     falling_fact</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;                     * (<a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1) - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - n.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1))</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                     * x.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                     + falling_fact</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                     * <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - n.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1) * n.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    }</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">inline</span> fvar&lt;T&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a203c9c81e4a4b48e47e052422fcf679d">   30</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">falling_factorial</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x, <span class="keyword">const</span> <span class="keywordtype">double</span> n) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">stan::math::falling_factorial</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      T falling_fact(<a class="code" href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">falling_factorial</a>(x.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, n));</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(falling_fact,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                     falling_fact</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                     * (<a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1) - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - n + 1))</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                     * x.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">inline</span> fvar&lt;T&gt;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5a3c08d051a8e4bc83c6ad9132af4099">   43</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">falling_factorial</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; n) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">stan::math::falling_factorial</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      T falling_fact(<a class="code" href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">falling_factorial</a>(x, n.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>));</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(falling_fact,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                     falling_fact</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                     * <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x - n.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + 1) * n.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  }</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;}</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="prim_2scal_2fun_2falling__factorial_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2falling__factorial_8hpp.html">falling_factorial.hpp</a></div></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aae3974a012285e3d020d46cc454812ed"><div class="ttname"><a href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">stan::math::falling_factorial</a></div><div class="ttdeci">fvar&lt; T &gt; falling_factorial(const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2falling__factorial_8hpp_source.html#l00015">falling_factorial.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+Functions</h2></td></tr>
+<tr class="memitem:a535e91c206d8cfd9e61042c25108f23a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a535e91c206d8cfd9e61042c25108f23a"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a535e91c206d8cfd9e61042c25108f23a">stan::math::fdim</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
+<tr class="separator:a535e91c206d8cfd9e61042c25108f23a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9af93d6decc446332dedd367db295bcb"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9af93d6decc446332dedd367db295bcb"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9af93d6decc446332dedd367db295bcb">stan::math::fdim</a> (const fvar&lt; T &gt; &amp;x1, const double x2)</td></tr>
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+<tr class="memitem:a9448d07d7e87cd638f65ce95350c0e8b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9448d07d7e87cd638f65ce95350c0e8b"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9448d07d7e87cd638f65ce95350c0e8b">stan::math::fdim</a> (const double x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
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+<div class="title">fdim.hpp</div>  </div>
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+<a href="fwd_2scal_2fun_2fdim_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_FDIM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_FDIM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2fdim_8hpp.html">stan/math/prim/scal/fun/fdim.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a535e91c206d8cfd9e61042c25108f23a">   11</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#a535e91c206d8cfd9e61042c25108f23a">fdim</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a535e91c206d8cfd9e61042c25108f23a">stan::math::fdim</a>;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16e5a2666b377e37fe807765ba5f6aaf">std::floor</a>;</div>
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+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:ad52e5d20122b9db1d2ec7c57417d19b3"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename T3 &gt; </td></tr>
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+<tr class="memdesc:ad52e5d20122b9db1d2ec7c57417d19b3"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add operation (C99).  <a href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">More...</a><br /></td></tr>
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+<a href="fwd_2scal_2fun_2fma_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_FMA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_FMA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
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+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3&gt;</div>
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+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type&gt;</div>
+<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">   61</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T1&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T2&gt;</a>&amp; x2, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T3&gt;</a>&amp; x3) {</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">using ::fma</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type</a>&gt;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        (<a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x3.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>),</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;         x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + x3.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3&gt;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type&gt;</div>
+<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#abc95573545bf325172b18d2ec6b4f3f4">   74</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(<span class="keyword">const</span> T1&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T2&gt;</a>&amp; x2, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T3&gt;</a>&amp; x3) {</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">using ::fma</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type</a>&gt;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        (<a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(x1, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x3.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>), x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x1 + x3.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3&gt;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type&gt;</div>
+<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aebb72eea615a5b2effad60c4f5c1ccbc">   86</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T1&gt;</a>&amp; x1, <span class="keyword">const</span> T2&amp; x2, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T3&gt;</a>&amp; x3) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">using ::fma</a>;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type</a>&gt;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        (<a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2, x3.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>), x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x2 + x3.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3&gt;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;    fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type&gt;</div>
+<div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1e283e1daef5282717309ddb1302d5dc">   98</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T1&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T2&gt;</a>&amp; x2, <span class="keyword">const</span> T3&amp; x3) {</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">using ::fma</a>;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type</a>&gt;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        (<a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x3), x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    }</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3&gt;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type&gt;</div>
+<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a085357acaef6e7ac8f3e7d16e6b38aa3">  110</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(<span class="keyword">const</span> T1&amp; x1, <span class="keyword">const</span> T2&amp; x2, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T3&gt;</a>&amp; x3) {</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">using ::fma</a>;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type</a>&gt;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        (<a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(x1, x2, x3.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>), x3.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    }</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3&gt;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type&gt;</div>
+<div class="line"><a name="l00122"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afaf7c6a98ccaf08b9964b9d9258c6d13">  122</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T1&gt;</a>&amp; x1, <span class="keyword">const</span> T2&amp; x2, <span class="keyword">const</span> T3&amp; x3) {</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">using ::fma</a>;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type</a>&gt;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        (<a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2, x3), x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x2);</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    }</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3&gt;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type&gt;</div>
+<div class="line"><a name="l00134"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a31f25245e8d92c7e406808b1aad777a9">  134</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(<span class="keyword">const</span> T1&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T2&gt;</a>&amp; x2, <span class="keyword">const</span> T3&amp; x3) {</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">using ::fma</a>;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;typename stan::return_type&lt;T1, T2, T3&gt;::type</a>&gt;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        (<a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(x1, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x3), x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x1);</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    }</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;  }</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;}</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad52e5d20122b9db1d2ec7c57417d19b3"><div class="ttname"><a href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">stan::math::fma</a></div><div class="ttdeci">fvar&lt; typename stan::return_type&lt; T1, T2, T3 &gt;::type &gt; fma(const fvar&lt; T1 &gt; &amp;x1, const fvar&lt; T2 &gt; &amp;x2, const fvar&lt; T3 &gt; &amp;x3)</div><div class="ttdoc">The fused multiply-add operation (C99). </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fma_8hpp_source.html#l00061">fma.hpp:61</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae9f288e71a8a7012ad123ca361f6a739"><div class="ttname"><a href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">stan::math::fma</a></div><div class="ttdeci">var fma(const double &amp;a, const stan::math::var &amp;b, const stan::math::var &amp;c)</div><div class="ttdoc">The fused multiply-add function for a value and two variables (C99). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2fma_8hpp_source.html#l00280">fma.hpp:280</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="likely_8hpp_source.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a1f0dc47791c87f86c9f93d2cba273c25"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a1f0dc47791c87f86c9f93d2cba273c25"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1f0dc47791c87f86c9f93d2cba273c25">stan::math::fmax</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
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+<a href="fwd_2scal_2fun_2fmax_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_FMAX_HPP</span></div>
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+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="likely_8hpp.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1f0dc47791c87f86c9f93d2cba273c25">   13</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#a1f0dc47791c87f86c9f93d2cba273c25">fmax</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> &gt; x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> == x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    }</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#adb8de59f858592b97409ca71d68f4442">   33</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#a1f0dc47791c87f86c9f93d2cba273c25">fmax</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8a200e969bd57383ff4f89516c0690b5">using ::fmax</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x1))) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a1f0dc47791c87f86c9f93d2cba273c25">fmax</a>(x1, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>), <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))) {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1, 0.0);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x1 &gt; x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1, 0.0);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x1 == x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) {</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    }</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aad0fec224f4c675618141528549640ba">   53</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#a1f0dc47791c87f86c9f93d2cba273c25">fmax</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <span class="keywordtype">double</span> x2) {</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8a200e969bd57383ff4f89516c0690b5">using ::fmax</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x2))</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a1f0dc47791c87f86c9f93d2cba273c25">fmax</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2), <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x2, 0.0);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x2))) {</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> &gt; x2) {</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> == x2) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x2, 0.0);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      }</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    }</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;  }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;}</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9cf147700a2e38335abc618b2c913b8a"><div class="ttname"><a href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a></div><div class="ttdeci">const double NOT_A_NUMBER</div><div class="ttdoc">(Quiet) not-a-number value. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00056">constants.hpp:56</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8a200e969bd57383ff4f89516c0690b5"><div class="ttname"><a href="namespacestan_1_1math.html#a8a200e969bd57383ff4f89516c0690b5">stan::math::fmax</a></div><div class="ttdeci">var fmax(const double &amp;a, const stan::math::var &amp;b)</div><div class="ttdoc">Returns the maximum of a scalar and variable, promoting the scalar to a variable if it is larger (C99...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2fmax_8hpp_source.html#l00127">fmax.hpp:127</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a9ec9f6ad1870e35178068fd12a0d04ea"><div class="ttname"><a href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a></div><div class="ttdeci">bool isnan(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is NaN. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isnan_8hpp_source.html#l00022">boost_isnan.hpp:22</a></div></div>
+<div class="ttc" id="likely_8hpp_html_a58059a6664c486561d2641a07440ad1a"><div class="ttname"><a href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a></div><div class="ttdeci">#define unlikely(x)  </div><div class="ttdef"><b>Definition:</b> <a href="likely_8hpp_source.html#l00009">likely.hpp:9</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="likely_8hpp_html"><div class="ttname"><a href="likely_8hpp.html">likely.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1f0dc47791c87f86c9f93d2cba273c25"><div class="ttname"><a href="namespacestan_1_1math.html#a1f0dc47791c87f86c9f93d2cba273c25">stan::math::fmax</a></div><div class="ttdeci">fvar&lt; T &gt; fmax(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fmax_8hpp_source.html#l00013">fmax.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/fwd_2scal_2fun_2fmin_8hpp.html b/doc/api/html/fwd_2scal_2fun_2fmin_8hpp.html
new file mode 100644
index 00000000000..81e810ef251
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+++ b/doc/api/html/fwd_2scal_2fun_2fmin_8hpp.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ae765dc2aa344a1893f66bffbdab0267c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ae765dc2aa344a1893f66bffbdab0267c"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae765dc2aa344a1893f66bffbdab0267c">stan::math::fmin</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
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+<a href="fwd_2scal_2fun_2fmin_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_FMIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_FMIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="likely_8hpp.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae765dc2aa344a1893f66bffbdab0267c">   13</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#ae765dc2aa344a1893f66bffbdab0267c">fmin</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    }</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6ade89f8b882cb15b0478176fd997cd1">   33</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#ae765dc2aa344a1893f66bffbdab0267c">fmin</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af78692904b139471b470740ce866468e">using ::fmin</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x1))) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#ae765dc2aa344a1893f66bffbdab0267c">fmin</a>(x1, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>), <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))) {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1, 0.0);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x1 &lt; x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1, 0.0);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x1 == x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) {</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    }</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a00cdcc6569e6ac1d6a40d2f7157566a1">   53</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#ae765dc2aa344a1893f66bffbdab0267c">fmin</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <span class="keywordtype">double</span> x2) {</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af78692904b139471b470740ce866468e">using ::fmin</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x2))</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#ae765dc2aa344a1893f66bffbdab0267c">fmin</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2), <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x2, 0.0);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(x2))) {</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> &lt; x2) {</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> == x2) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(x2, 0.0);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      }</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    }</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  }</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;}</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae765dc2aa344a1893f66bffbdab0267c"><div class="ttname"><a href="namespacestan_1_1math.html#ae765dc2aa344a1893f66bffbdab0267c">stan::math::fmin</a></div><div class="ttdeci">fvar&lt; T &gt; fmin(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fmin_8hpp_source.html#l00013">fmin.hpp:13</a></div></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9cf147700a2e38335abc618b2c913b8a"><div class="ttname"><a href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a></div><div class="ttdeci">const double NOT_A_NUMBER</div><div class="ttdoc">(Quiet) not-a-number value. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00056">constants.hpp:56</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af78692904b139471b470740ce866468e"><div class="ttname"><a href="namespacestan_1_1math.html#af78692904b139471b470740ce866468e">stan::math::fmin</a></div><div class="ttdeci">var fmin(double a, const stan::math::var &amp;b)</div><div class="ttdoc">Returns the minimum of a scalar and variable, promoting the scalar to a variable if it is larger (C99...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2fmin_8hpp_source.html#l00120">fmin.hpp:120</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a9ec9f6ad1870e35178068fd12a0d04ea"><div class="ttname"><a href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a></div><div class="ttdeci">bool isnan(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is NaN. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isnan_8hpp_source.html#l00022">boost_isnan.hpp:22</a></div></div>
+<div class="ttc" id="likely_8hpp_html_a58059a6664c486561d2641a07440ad1a"><div class="ttname"><a href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a></div><div class="ttdeci">#define unlikely(x)  </div><div class="ttdef"><b>Definition:</b> <a href="likely_8hpp_source.html#l00009">likely.hpp:9</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="likely_8hpp_html"><div class="ttname"><a href="likely_8hpp.html">likely.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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diff --git a/doc/api/html/fwd_2scal_2fun_2fmod_8hpp.html b/doc/api/html/fwd_2scal_2fun_2fmod_8hpp.html
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac9f40b2c56584ebd33037769fddc4d3f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ac9f40b2c56584ebd33037769fddc4d3f"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">stan::math::fmod</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
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+<tr class="memitem:a5fdbe01b71fb403869c2fa9ebb1fb90c"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5fdbe01b71fb403869c2fa9ebb1fb90c">stan::math::fmod</a> (const double x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
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+<a href="fwd_2scal_2fun_2fmod_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_FMOD_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_FMOD_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">   16</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">fmod</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a>;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">std::fabs</a>;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      T dig = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        delta = s / ((k + x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) * (k + x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>));</div>
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+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#abdd446def1c6803882dfa29838addc79">   51</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">gamma_p</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <span class="keywordtype">double</span> x2) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">std::fabs</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
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+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
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+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      T dig = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
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+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">while</span> (<a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">fabs</a>(delta) &gt; 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-6) {</div>
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+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
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+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">   15</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">std::fabs</a>;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      T u = <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      T dig = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keywordtype">int</span> k = 0;</div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        delta = s / ((k + x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) * (k + x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>));</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      T der2 = -<a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - 1.0) / g;</div>
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+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    }</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7c57ec58c3534caee0c89fbdf56ed28d">   51</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <span class="keywordtype">double</span> x2) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">std::fabs</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      T u = <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
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+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      T g = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      T dig = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
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+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">while</span> (<a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">fabs</a>(delta) &gt; 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-6) {</div>
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+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
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+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a6c79c9be5c64873b74f3c6924fef6911"><div class="ttname"><a href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">stan::math::fabs</a></div><div class="ttdeci">fvar&lt; T &gt; fabs(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fabs_8hpp_source.html#l00014">fabs.hpp:14</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
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+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log_8hpp_source.html">stan/math/fwd/scal/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log1m_8hpp_source.html">stan/math/fwd/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2lbeta_8hpp_source.html">stan/math/fwd/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2exp_8hpp_source.html">stan/math/fwd/scal/fun/exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2value__of_8hpp_source.html">stan/math/fwd/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/fwd/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__2_f1_8hpp_source.html">stan/math/prim/scal/fun/grad_2F1.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<a href="fwd_2scal_2fun_2grad__inc__beta_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_GRAD_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_GRAD_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2fabs_8hpp.html">stan/math/fwd/scal/fun/fabs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2log_8hpp.html">stan/math/fwd/scal/fun/log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2log1m_8hpp.html">stan/math/fwd/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2lbeta_8hpp.html">stan/math/fwd/scal/fun/lbeta.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="comment">// with respect to the first two arguments, using the</span></div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="comment">// See http://dlmf.nist.gov/8.17#ii</span></div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                       <a class="code" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt;T&gt;</a>&amp; g2,</div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <a class="code" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt;T&gt;</a> dF1 = 0;</div>
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+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      g1 = (c1 - 1.0 / a) * c3 + C * (dF1 + dF2);</div>
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+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
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+<div class="ttc" id="fwd_2scal_2fun_2log_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2log_8hpp.html">log.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2fabs_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2fabs_8hpp.html">fabs.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="grad__2_f1_8hpp_html"><div class="ttname"><a href="grad__2_f1_8hpp.html">grad_2F1.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2exp_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2exp_8hpp.html">exp.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a43226a00b6c2d3f3a2ab5906490f3136"><div class="ttname"><a href="namespacestan_1_1math.html#a43226a00b6c2d3f3a2ab5906490f3136">stan::math::grad_2F1</a></div><div class="ttdeci">void grad_2F1(T &amp;gradA, T &amp;gradC, T a, T b, T c, T z, T precision=1e-6)</div><div class="ttdef"><b>Definition:</b> <a href="grad__2_f1_8hpp_source.html#l00013">grad_2F1.hpp:13</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv_8hpp_source.html">stan/math/prim/scal/fun/inv.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2fun_2hypot_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:acd88cd5e3b00b9d099acd2482ca6fbf2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:acd88cd5e3b00b9d099acd2482ca6fbf2"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">stan::math::hypot</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
+<tr class="separator:acd88cd5e3b00b9d099acd2482ca6fbf2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a490944d221f2b68baf4092667f490ae8"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a490944d221f2b68baf4092667f490ae8">stan::math::hypot</a> (const fvar&lt; T &gt; &amp;x1, const double x2)</td></tr>
+<tr class="separator:a490944d221f2b68baf4092667f490ae8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afd2f4416bf256405e515c0640dec5fe2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:afd2f4416bf256405e515c0640dec5fe2"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afd2f4416bf256405e515c0640dec5fe2">stan::math::hypot</a> (const double x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
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+<div class="title">hypot.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2scal_2fun_2hypot_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_HYPOT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_HYPOT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv_8hpp.html">stan/math/prim/scal/fun/inv.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">   13</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5c9d2305ce89a46a7d182e6014fd0b3f">using ::hypot</a>;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a2a5386561ba622e05cb64345fdad6a3b">stan::math::inv</a>;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      T u = <a class="code" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(u, (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> + x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) * <a class="code" href="namespacestan_1_1math.html#a2a5386561ba622e05cb64345fdad6a3b">inv</a>(u));</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    }</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a490944d221f2b68baf4092667f490ae8">   22</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <span class="keywordtype">double</span> x2) {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5c9d2305ce89a46a7d182e6014fd0b3f">using ::hypot</a>;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a2a5386561ba622e05cb64345fdad6a3b">stan::math::inv</a>;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      T u = <a class="code" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(u, (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) * <a class="code" href="namespacestan_1_1math.html#a2a5386561ba622e05cb64345fdad6a3b">inv</a>(u));</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    }</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afd2f4416bf256405e515c0640dec5fe2">   31</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5c9d2305ce89a46a7d182e6014fd0b3f">using ::hypot</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a2a5386561ba622e05cb64345fdad6a3b">stan::math::inv</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      T u = <a class="code" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot</a>(x1, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(u, (x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) * <a class="code" href="namespacestan_1_1math.html#a2a5386561ba622e05cb64345fdad6a3b">inv</a>(u));</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    }</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;}</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_acd88cd5e3b00b9d099acd2482ca6fbf2"><div class="ttname"><a href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">stan::math::hypot</a></div><div class="ttdeci">fvar&lt; T &gt; hypot(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2hypot_8hpp_source.html#l00013">hypot.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2inv_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv_8hpp.html">inv.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5c9d2305ce89a46a7d182e6014fd0b3f"><div class="ttname"><a href="namespacestan_1_1math.html#a5c9d2305ce89a46a7d182e6014fd0b3f">stan::math::hypot</a></div><div class="ttdeci">var hypot(double a, const var &amp;b)</div><div class="ttdoc">Returns the length of the hypoteneuse of a right triangle with sides of the specified lengths (C99)...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2hypot_8hpp_source.html#l00116">hypot.hpp:116</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/beta.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2grad__inc__beta_8hpp_source.html">stan/math/fwd/scal/fun/grad_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2pow_8hpp_source.html">stan/math/fwd/scal/fun/pow.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2exp_8hpp_source.html">stan/math/fwd/scal/fun/exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2lbeta_8hpp_source.html">stan/math/fwd/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2digamma_8hpp_source.html">stan/math/fwd/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:af9988ca802426ba048ba5d5d9ad71e2e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:af9988ca802426ba048ba5d5d9ad71e2e"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a> (const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2inc__beta_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/beta.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2grad__inc__beta_8hpp.html">stan/math/fwd/scal/fun/grad_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2pow_8hpp.html">stan/math/fwd/scal/fun/pow.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2exp_8hpp.html">stan/math/fwd/scal/fun/exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2lbeta_8hpp.html">stan/math/fwd/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2digamma_8hpp.html">stan/math/fwd/scal/fun/digamma.hpp</a>&gt;</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ac51be9d210e223a8aa4241e2d725e295"><div class="ttname"><a href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a></div><div class="ttdeci">fvar&lt; T &gt; lbeta(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">lbeta.hpp:16</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
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+<div class="ttc" id="fwd_2scal_2fun_2exp_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2exp_8hpp.html">exp.hpp</a></div></div>
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+<div class="ttc" id="fwd_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a2a5386561ba622e05cb64345fdad6a3b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv___phi_8hpp_source.html">stan/math/prim/scal/fun/inv_Phi.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a91bcae4b6bdf262f91673bf7b15fea99"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a91bcae4b6bdf262f91673bf7b15fea99"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a91bcae4b6bdf262f91673bf7b15fea99">stan::math::inv_Phi</a> (const fvar&lt; T &gt; &amp;p)</td></tr>
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+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa628c5af5a85d53472f0126fcca44524"><div class="ttname"><a href="namespacestan_1_1math.html#aa628c5af5a85d53472f0126fcca44524">stan::math::SQRT_2_TIMES_SQRT_PI</a></div><div class="ttdeci">const double SQRT_2_TIMES_SQRT_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00158">constants.hpp:158</a></div></div>
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+<div class="title">inv_cloglog.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__cloglog_8hpp_source.html">stan/math/prim/scal/fun/inv_cloglog.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2fun_2inv__cloglog_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aba00ed1e73c3a2366226aa4c83e4d8b9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aba00ed1e73c3a2366226aa4c83e4d8b9"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aba00ed1e73c3a2366226aa4c83e4d8b9">stan::math::inv_cloglog</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
+<tr class="separator:aba00ed1e73c3a2366226aa4c83e4d8b9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="ttc" id="prim_2scal_2fun_2inv__cloglog_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__cloglog_8hpp.html">inv_cloglog.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
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+<tr class="memitem:a76a22ee34432be58edb4b6ed9469370a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a76a22ee34432be58edb4b6ed9469370a"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_INV_LOGIT_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a76a22ee34432be58edb4b6ed9469370a"><div class="ttname"><a href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a></div><div class="ttdeci">fvar&lt; T &gt; inv_logit(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv__logit_8hpp_source.html#l00015">inv_logit.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__logit_8hpp.html">inv_logit.hpp</a></div></div>
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+Functions</h2></td></tr>
+<tr class="memitem:aca2d4971bfd22beacb304bdd5b9d3395"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aca2d4971bfd22beacb304bdd5b9d3395"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aca2d4971bfd22beacb304bdd5b9d3395">stan::math::inv_sqrt</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
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+<p><a href="fwd_2scal_2fun_2inv__square_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa7c1f6b0f3c9f48fa30e09f2d929336d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aa7c1f6b0f3c9f48fa30e09f2d929336d"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa7c1f6b0f3c9f48fa30e09f2d929336d">stan::math::inv_square</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2inv__square_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_INV_SQUARE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_INV_SQUARE_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2is__inf_8hpp_source.html">stan/math/prim/scal/fun/is_inf.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2fun_2is__inf_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ad359149ebad087910f96e62f88287c1f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad359149ebad087910f96e62f88287c1f"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad359149ebad087910f96e62f88287c1f">stan::math::is_inf</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
+<tr class="memdesc:ad359149ebad087910f96e62f88287c1f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns 1 if the input's value is infinite and 0 otherwise.  <a href="namespacestan_1_1math.html#ad359149ebad087910f96e62f88287c1f">More...</a><br /></td></tr>
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+<a href="fwd_2scal_2fun_2is__inf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_IS_INF_HPP</span></div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2is__nan_8hpp_source.html">stan/math/prim/scal/fun/is_nan.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2fun_2is__nan_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a921dd9cd85ce1a6fca79c7b07cd80b99"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a921dd9cd85ce1a6fca79c7b07cd80b99"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a921dd9cd85ce1a6fca79c7b07cd80b99">stan::math::is_nan</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
+<tr class="memdesc:a921dd9cd85ce1a6fca79c7b07cd80b99"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns 1 if the input's value is NaN and 0 otherwise.  <a href="namespacestan_1_1math.html#a921dd9cd85ce1a6fca79c7b07cd80b99">More...</a><br /></td></tr>
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+<a href="fwd_2scal_2fun_2is__nan_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_IS_NAN_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
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+<p><a href="fwd_2scal_2fun_2lbeta_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:ac51be9d210e223a8aa4241e2d725e295"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ac51be9d210e223a8aa4241e2d725e295"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
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+<a href="fwd_2scal_2fun_2lbeta_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_LBETA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_LBETA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">inline</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lmgamma_8hpp_source.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</code><br />
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+<tr class="memitem:ad46d6e08f7b6e9b9e8941572d30b104e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad46d6e08f7b6e9b9e8941572d30b104e"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt; T, int &gt;::type &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad46d6e08f7b6e9b9e8941572d30b104e">stan::math::lmgamma</a> (int x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
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+<a href="fwd_2scal_2fun_2lmgamma_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_LMGAMMA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_LMGAMMA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
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+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
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+<tr class="memitem:a808cbb5ac4003f28e2538805ebe338ef"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a808cbb5ac4003f28e2538805ebe338ef">stan::math::log10</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<div class="title">log10.hpp</div>  </div>
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+<a href="fwd_2scal_2fun_2log10_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_LOG10_HPP</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af56e2f9808a531946681d3644307edeb"><div class="ttname"><a href="namespacestan_1_1math.html#af56e2f9808a531946681d3644307edeb">stan::math::log10</a></div><div class="ttdeci">var log10(const var &amp;a)</div><div class="ttdoc">Return the base 10 log of the specified variable (cmath). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2log10_8hpp_source.html#l00054">log10.hpp:54</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a808cbb5ac4003f28e2538805ebe338ef"><div class="ttname"><a href="namespacestan_1_1math.html#a808cbb5ac4003f28e2538805ebe338ef">stan::math::log10</a></div><div class="ttdeci">fvar&lt; T &gt; log10(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log10_8hpp_source.html#l00015">log10.hpp:15</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
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+<tr class="memitem:a8d92a982acd829e77b3f5b975baa6aed"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8d92a982acd829e77b3f5b975baa6aed"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2log1m_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_LOG1M_HPP</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a9cf147700a2e38335abc618b2c913b8a"><div class="ttname"><a href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a></div><div class="ttdeci">const double NOT_A_NUMBER</div><div class="ttdoc">(Quiet) not-a-number value. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00056">constants.hpp:56</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2expm1_8hpp_source.html">stan/math/fwd/scal/fun/expm1.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m__exp_8hpp_source.html">stan/math/prim/scal/fun/log1m_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a7760d28e8fddf268113469b44463de07"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a7760d28e8fddf268113469b44463de07"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">stan::math::log1m_exp</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_LOG1M_EXP_HPP</span></div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">   16</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">log1m_exp</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x) {</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">log1m_exp</a>(x.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>), x.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> / -<a class="code" href="namespacestan_1_1math.html#a8a76b658b94fcf8943f4fb41c586ec94">expm1</a>(-x.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>));</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8a76b658b94fcf8943f4fb41c586ec94"><div class="ttname"><a href="namespacestan_1_1math.html#a8a76b658b94fcf8943f4fb41c586ec94">stan::math::expm1</a></div><div class="ttdeci">fvar&lt; T &gt; expm1(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2expm1_8hpp_source.html#l00012">expm1.hpp:12</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7760d28e8fddf268113469b44463de07"><div class="ttname"><a href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">stan::math::log1m_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log1m_exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m__exp_8hpp_source.html#l00016">log1m_exp.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m__exp_8hpp.html">log1m_exp.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log1m_inv_logit.hpp</a>&gt;</code><br />
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+<tr class="memitem:a79f286f8a9043aee8a1a844493da0d55"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a79f286f8a9043aee8a1a844493da0d55">stan::math::log1m_inv_logit</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2log1m__inv__logit_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_LOG1M_INV_LOGIT_HPP</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<tr class="memitem:aa16e57e82fb1e17f74ef43592748ff32"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">stan::math::log1p</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2log1p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p_8hpp.html">log1p.hpp</a></div></div>
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+<div class="title">log1p_exp.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p__exp_8hpp_source.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a0fe928ad2b96b802f6d488ba43167489"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a0fe928ad2b96b802f6d488ba43167489"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">stan::math::log1p_exp</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_LOG1P_EXP_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log2_8hpp_source.html">stan/math/prim/scal/fun/log2.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a4eea39b4ca603cff7518068499884364"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a4eea39b4ca603cff7518068499884364"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4eea39b4ca603cff7518068499884364">stan::math::log2</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2log2_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_LOG2_HPP</span></div>
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+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__diff__exp_8hpp_source.html">stan/math/prim/scal/fun/log_diff_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a1ba84f8c43b399f555647a0402a710ef"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1ba84f8c43b399f555647a0402a710ef">   14</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a1ba84f8c43b399f555647a0402a710ef">log_diff_exp</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;       <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a1ba84f8c43b399f555647a0402a710ef">stan::math::log_diff_exp</a>;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;       <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a>;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;       <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;       <span class="keywordflow">if</span> (x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> &lt;= x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;         <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>, <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>);</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;       <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a1ba84f8c43b399f555647a0402a710ef">log_diff_exp</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>),</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                      x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> / (1 - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>))</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;                      + x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> / (1 - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)));</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
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+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a34180da33deb01d13fcf6c5907d1309e">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a1ba84f8c43b399f555647a0402a710ef">log_diff_exp</a>(<span class="keyword">const</span> T1&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T2&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a1ba84f8c43b399f555647a0402a710ef">stan::math::log_diff_exp</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keywordflow">if</span> (x1 &lt;= x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T2&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>, <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a>);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T2&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a1ba84f8c43b399f555647a0402a710ef">log_diff_exp</a>(x1, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>),</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                     x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> / (1 - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(x1 - x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)));</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    }</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a1ba84f8c43b399f555647a0402a710ef">stan::math::log_diff_exp</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
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+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="prim_2scal_2fun_2log__diff__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__diff__exp_8hpp.html">log_diff_exp.hpp</a></div></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9cf147700a2e38335abc618b2c913b8a"><div class="ttname"><a href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math::NOT_A_NUMBER</a></div><div class="ttdeci">const double NOT_A_NUMBER</div><div class="ttdoc">(Quiet) not-a-number value. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00056">constants.hpp:56</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1ba84f8c43b399f555647a0402a710ef"><div class="ttname"><a href="namespacestan_1_1math.html#a1ba84f8c43b399f555647a0402a710ef">stan::math::log_diff_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log_diff_exp(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log__diff__exp_8hpp_source.html#l00014">log_diff_exp.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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diff --git a/doc/api/html/fwd_2scal_2fun_2log__falling__factorial_8hpp.html b/doc/api/html/fwd_2scal_2fun_2log__falling__factorial_8hpp.html
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+   &#160;<span id="projectnumber">2.10.0</span>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__falling__factorial_8hpp_source.html">stan/math/prim/scal/fun/log_falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+</div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a58e4116dfd00db87062ef7c0f76e8c27"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a58e4116dfd00db87062ef7c0f76e8c27"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">stan::math::log_falling_factorial</a> (const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</td></tr>
+<tr class="separator:a58e4116dfd00db87062ef7c0f76e8c27"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a3f457257e68af25bdccd60c4da5c1449"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3f457257e68af25bdccd60c4da5c1449">stan::math::log_falling_factorial</a> (const double x, const fvar&lt; T &gt; &amp;n)</td></tr>
+<tr class="separator:a3f457257e68af25bdccd60c4da5c1449"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a50150f9605147c167f749bf31c9e42a2"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a50150f9605147c167f749bf31c9e42a2">stan::math::log_falling_factorial</a> (const fvar&lt; T &gt; &amp;x, const double n)</td></tr>
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+<div class="title">log_falling_factorial.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2scal_2fun_2log__falling__factorial_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_LOG_FALLING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_LOG_FALLING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__falling__factorial_8hpp.html">stan/math/prim/scal/fun/log_falling_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">inline</span> fvar&lt;T&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">   15</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">log_falling_factorial</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; n) {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">stan::math::log_falling_factorial</a>;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                     - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(x.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> - n + 1)) * x.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>);</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</code><br />
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+<tr class="memitem:acd2fe56bce70a04dd11e8a5a32b1b51c"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acd2fe56bce70a04dd11e8a5a32b1b51c">stan::math::log_inv_logit</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2log__inv__logit_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_LOG_INV_LOGIT_HPP</span></div>
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+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
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+<tr class="memdesc:a014f4431773309ae7fd1420b0f6aa99f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log mixture density with specified mixing proportion and log densities and its derivative at each.  <a href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">More...</a><br /></td></tr>
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+<a href="fwd_2scal_2fun_2log__mix_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_LOG_MIX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_LOG_MIX_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__mix_8hpp.html">stan/math/prim/scal/fun/log_mix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="comment">/* Returns an array of size N with partials of log_mix wrt to its</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">     * parameters instantiated as fvar&lt;T&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">     *</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">     * @tparam T_theta theta scalar type</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">     * @tparam T_lambda1 lambda_1 scalar type</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">     * @tparam T_lambda2 lambda_2 scalar type</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">     *</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">     * @param[in] N output array size</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">     * @param[in] theta_d mixing proportion theta</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment">     * @param[in] lambda1_d log_density with mixing proportion theta</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment">     * @param[in] lambda2_d log_density with mixing proportion 1.0 - theta</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment">     * @param[out] partials_array array of partials derivatives</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment">     */</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_theta, <span class="keyword">typename</span> T_lambda1, <span class="keyword">typename</span> T_lambda2, <span class="keywordtype">int</span> N&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">void</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a23c2aeab81ef4820c6df233e1d35a3a9">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a23c2aeab81ef4820c6df233e1d35a3a9">log_mix_partial_helper</a>(<span class="keyword">const</span> T_theta&amp; theta,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                           <span class="keyword">const</span> T_lambda1&amp; lambda1,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                           <span class="keyword">const</span> T_lambda2&amp; lambda2,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                           <span class="keyword">typename</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                           boost::math::tools::promote_args&lt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                             T_theta, T_lambda1, T_lambda2&gt;::type</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                           (&amp;partials_array)[N]) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> boost::is_same;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> promote_args&lt;T_theta, T_lambda1, T_lambda2&gt;::type</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        partial_return_type;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">typename</span> promote_args&lt;T_lambda1, T_lambda2&gt;::type lam2_m_lam1</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        = lambda2 - lambda1;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">typename</span> promote_args&lt;T_lambda1, T_lambda2&gt;::type exp_lam2_m_lam1</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(lam2_m_lam1);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">typename</span> promote_args&lt;T_lambda1, T_lambda2&gt;::type one_m_exp_lam2_m_lam1</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        = 1.0 - exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">typename</span> promote_args&lt;double, T_theta&gt;::type one_m_t = 1.0 - theta;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      partial_return_type one_m_t_prod_exp_lam2_m_lam1</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        = one_m_t * exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      partial_return_type t_plus_one_m_t_prod_exp_lam2_m_lam1</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        = theta + one_m_t_prod_exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      partial_return_type one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        = 1.0 / t_plus_one_m_t_prod_exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> offset = 0;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keywordflow">if</span> (is_same&lt;T_theta, partial_return_type&gt;::value) {</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        partials_array[offset]</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;          = one_m_exp_lam2_m_lam1</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;          * one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;         ++offset;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      }</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">if</span> (is_same&lt;T_lambda1, partial_return_type&gt;::value) {</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        partials_array[offset]</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;          = theta * one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;         ++offset;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      }</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">if</span> (is_same&lt;T_lambda2, partial_return_type&gt;::value) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        partials_array[offset]</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          = one_m_t_prod_exp_lam2_m_lam1</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;          * one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      }</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    }</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00117"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">  117</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">log_mix</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; theta, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; lambda1,</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;            <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; lambda2) {</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">stan::math::log_mix</a>;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;      <span class="keywordflow">if</span> (lambda1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> &gt; lambda2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) {</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> partial_deriv_array[3];</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a23c2aeab81ef4820c6df233e1d35a3a9">log_mix_partial_helper</a>(theta, lambda1, lambda2, partial_deriv_array);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">log_mix</a>(theta.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, lambda1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, lambda2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>),</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                       theta.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[0])</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                       + lambda1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[1])</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                       + lambda2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[2]));</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> partial_deriv_array[3];</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a23c2aeab81ef4820c6df233e1d35a3a9">log_mix_partial_helper</a>(1.0 - theta, lambda2, lambda1,</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                               partial_deriv_array);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">log_mix</a>(theta.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, lambda1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, lambda2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>),</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                       -theta.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[0])</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                       + lambda1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[2])</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                       + lambda2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[1]));</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      }</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    }</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aed956136160f52953529970a3ae4ef40">  143</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">log_mix</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; theta, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; lambda1,</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> lambda2) {</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">stan::math::log_mix</a>;</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;      <span class="keywordflow">if</span> (lambda1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> &gt; lambda2) {</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;        <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> partial_deriv_array[2];</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a23c2aeab81ef4820c6df233e1d35a3a9">log_mix_partial_helper</a>(theta, lambda1, lambda2,</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;                               partial_deriv_array);</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">log_mix</a>(theta.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, lambda1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, lambda2),</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;                       theta.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[0])</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;                       + lambda1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[1]));</div>
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+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;                               partial_deriv_array);</div>
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+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;                       -theta.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[0])</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;                       + lambda1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[1]));</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;      }</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    }</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00168"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a53f58fdf08759c58af217840a92ed4e8">  168</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">log_mix</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; theta, <span class="keyword">const</span> <span class="keywordtype">double</span> lambda1,</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;            <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; lambda2) {</div>
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+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;</div>
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+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> partial_deriv_array[2];</div>
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+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;                               partial_deriv_array);</div>
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+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;                       theta.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[0])</div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;                       + lambda2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[1]));</div>
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+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;                       -theta.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[0])</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;                       + lambda2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[1]));</div>
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+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;</div>
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+<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;                       lambda1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[0])</div>
+<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;                       + lambda2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[1]));</div>
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+<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;                       lambda2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(partial_deriv_array[0]));</div>
+<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;        }</div>
+<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;    }</div>
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+<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;}</div>
+<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__mix_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__mix_8hpp.html">log_mix.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a23c2aeab81ef4820c6df233e1d35a3a9"><div class="ttname"><a href="namespacestan_1_1math.html#a23c2aeab81ef4820c6df233e1d35a3a9">stan::math::log_mix_partial_helper</a></div><div class="ttdeci">void log_mix_partial_helper(const T_theta &amp;theta, const T_lambda1 &amp;lambda1, const T_lambda2 &amp;lambda2, typename boost::math::tools::promote_args&lt; T_theta, T_lambda1, T_lambda2 &gt;::type(&amp;partials_array)[N])</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00029">log_mix.hpp:29</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a014f4431773309ae7fd1420b0f6aa99f"><div class="ttname"><a href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">stan::math::log_mix</a></div><div class="ttdeci">fvar&lt; T &gt; log_mix(const fvar&lt; T &gt; &amp;theta, const fvar&lt; T &gt; &amp;lambda1, const fvar&lt; T &gt; &amp;lambda2)</div><div class="ttdoc">Return the log mixture density with specified mixing proportion and log densities and its derivative ...</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00117">log_mix.hpp:117</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__rising__factorial_8hpp_source.html">stan/math/prim/scal/fun/log_rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2fun_2log__rising__factorial_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa4aff0dd42a2b0b33ac55e9a45f35b1e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aa4aff0dd42a2b0b33ac55e9a45f35b1e"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa4aff0dd42a2b0b33ac55e9a45f35b1e">stan::math::log_rising_factorial</a> (const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</td></tr>
+<tr class="separator:aa4aff0dd42a2b0b33ac55e9a45f35b1e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a08d954744a945ff1f82a27d2eedb887f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5ab4f0019045b98139b0626204e8f2a2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a5ab4f0019045b98139b0626204e8f2a2"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5ab4f0019045b98139b0626204e8f2a2">stan::math::log_rising_factorial</a> (const double x, const fvar&lt; T &gt; &amp;n)</td></tr>
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+<div class="title">log_rising_factorial.hpp</div>  </div>
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+<div class="contents">
+<a href="fwd_2scal_2fun_2log__rising__factorial_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_LOG_RISING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_LOG_RISING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__rising__factorial_8hpp.html">stan/math/prim/scal/fun/log_rising_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    fvar&lt;T&gt;</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa4aff0dd42a2b0b33ac55e9a45f35b1e">stan::math::log_rising_factorial</a>;</div>
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+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<a href="fwd_2scal_2fun_2log__sum__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_LOG_SUM_EXP_HPP</span></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2logit_8hpp_source.html">stan/math/prim/scal/fun/logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
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+<tr class="memitem:ab025eaf1e6f5c920f69c37e7a7f8b319"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab025eaf1e6f5c920f69c37e7a7f8b319">stan::math::logit</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ab025eaf1e6f5c920f69c37e7a7f8b319"><div class="ttname"><a href="namespacestan_1_1math.html#ab025eaf1e6f5c920f69c37e7a7f8b319">stan::math::logit</a></div><div class="ttdeci">fvar&lt; T &gt; logit(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2logit_8hpp_source.html#l00017">logit.hpp:17</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2logit_8hpp.html">logit.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">stan/math/prim/scal/fun/modified_bessel_first_kind.hpp</a>&gt;</code><br />
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+<tr class="memitem:adcb3160540f6fe745abb846df2174742"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">stan::math::modified_bessel_first_kind</a> (int v, const fvar&lt; T &gt; &amp;z)</td></tr>
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+<div class="title">modified_bessel_first_kind.hpp</div>  </div>
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+<a href="fwd_2scal_2fun_2modified__bessel__first__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">   15</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">modified_bessel_first_kind</a>(<span class="keywordtype">int</span> v, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; z) {</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    }</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  }</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;}</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp.html">modified_bessel_first_kind.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_adcb3160540f6fe745abb846df2174742"><div class="ttname"><a href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">stan::math::modified_bessel_first_kind</a></div><div class="ttdeci">fvar&lt; T &gt; modified_bessel_first_kind(int v, const fvar&lt; T &gt; &amp;z)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html#l00015">modified_bessel_first_kind.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html">stan/math/prim/scal/fun/modified_bessel_second_kind.hpp</a>&gt;</code><br />
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+<tr class="memitem:a3277f8bf3ed3b3e36a61dedd4ed0449b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a3277f8bf3ed3b3e36a61dedd4ed0449b"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3277f8bf3ed3b3e36a61dedd4ed0449b">stan::math::modified_bessel_second_kind</a> (int v, const fvar&lt; T &gt; &amp;z)</td></tr>
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+<div class="title">modified_bessel_second_kind.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2scal_2fun_2modified__bessel__second__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_MODIFIED_BESSEL_SECOND_KIND_HPP</span></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a055efd6bb49a1df5ea4da98d1078d0e6"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a055efd6bb49a1df5ea4da98d1078d0e6"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
+<tr class="separator:a055efd6bb49a1df5ea4da98d1078d0e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="fwd_2scal_2fun_2multiply__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_MULTIPLY_LOG_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="title">owens_t.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2owens__t_8hpp_source.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2fun_2owens__t_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a9b09a69d6aeee461a009b6355889e9e4"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9b09a69d6aeee461a009b6355889e9e4"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">stan::math::owens_t</a> (const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
+<tr class="separator:a9b09a69d6aeee461a009b6355889e9e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a69de529b5013ba833af1ea6eff199194"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a69de529b5013ba833af1ea6eff199194">stan::math::owens_t</a> (const double x1, const fvar&lt; T &gt; &amp;x2)</td></tr>
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+<tr class="memitem:a316ab3b95493d045d77de4f8b96ed56a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a316ab3b95493d045d77de4f8b96ed56a"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a316ab3b95493d045d77de4f8b96ed56a">stan::math::owens_t</a> (const fvar&lt; T &gt; &amp;x1, const double x2)</td></tr>
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+<div class="title">owens_t.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2scal_2fun_2owens__t_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_OWENS_T_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_OWENS_T_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2owens__t_8hpp.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">   14</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">stan::math::owens_t</a>;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math::INV_SQRT_2</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a44d54686aa26009d0e9101be42afd877">stan::math::INV_SQRT_TWO_PI</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">using ::erf</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      T neg_x1_sq_div_2 = -<a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) * 0.5;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      T one_p_x2_sq = 1.0 + <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>),</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                     - x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                     * (<a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                        * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(neg_x1_sq_div_2) * <a class="code" href="namespacestan_1_1math.html#a44d54686aa26009d0e9101be42afd877">INV_SQRT_TWO_PI</a> * 0.5)</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                     + x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(neg_x1_sq_div_2 * one_p_x2_sq)</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                     / (one_p_x2_sq * 2.0 * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>()));</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a69de529b5013ba833af1ea6eff199194">   34</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">stan::math::owens_t</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      T neg_x1_sq_div_2 = -<a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(x1) * 0.5;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      T one_p_x2_sq = 1.0 + <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(x1, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>),</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                     x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(neg_x1_sq_div_2 * one_p_x2_sq)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;                     / (one_p_x2_sq * 2.0 * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>()));</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a316ab3b95493d045d77de4f8b96ed56a">   48</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <span class="keywordtype">double</span> x2) {</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">stan::math::owens_t</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math::INV_SQRT_2</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a44d54686aa26009d0e9101be42afd877">stan::math::INV_SQRT_TWO_PI</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">using ::erf</a>;</div>
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+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2sqrt_8hpp_source.html">stan/math/fwd/scal/fun/sqrt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2inv_8hpp_source.html">stan/math/fwd/scal/fun/inv.hpp</a>&gt;</code><br />
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_891b99f71c153bb46cf7117b6e9a16c0.html">fwd</a></li><li class="navelem"><a class="el" href="dir_c4a9b5014dab4963a2c9a69f60759e2b.html">scal</a></li><li class="navelem"><a class="el" href="dir_8556235f6230370109c543504fb4ecb1.html">fun</a></li>  </ul>
+</div>
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+<div class="title">pow.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="fwd_2scal_2fun_2pow_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_POW_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_POW_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2sqrt_8hpp.html">stan/math/fwd/scal/fun/sqrt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2inv_8hpp.html">stan/math/fwd/scal/fun/inv.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2inv__sqrt_8hpp.html">stan/math/fwd/scal/fun/inv_sqrt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2inv__square_8hpp.html">stan/math/fwd/scal/fun/inv_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">   18</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a52dafae271ea06210bf3cbe2545ead16">std::pow</a>;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      T pow_x1_x2(<a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>));</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(pow_x1_x2,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                     (x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>)</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                      + x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a> * x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> / x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>) * pow_x1_x2);</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    }</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab594b61f84170ba4b4b887f6a911a0d6">   30</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x1, <span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x2) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a52dafae271ea06210bf3cbe2545ead16">std::pow</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      T u = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(x1, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(u, x2.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(x1) * u);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    }</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    fvar&lt;T&gt;</div>
+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7b8ae604ced89240175e69281577be04">   40</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x1, <span class="keyword">const</span> <span class="keywordtype">double</span> x2) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a52dafae271ea06210bf3cbe2545ead16">std::pow</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a2a5386561ba622e05cb64345fdad6a3b">stan::math::inv</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aca2d4971bfd22beacb304bdd5b9d3395">stan::math::inv_sqrt</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa7c1f6b0f3c9f48fa30e09f2d929336d">stan::math::inv_square</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keywordflow">if</span> (x2 == -2)</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aa7c1f6b0f3c9f48fa30e09f2d929336d">inv_square</a>(x1);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordflow">if</span> (x2 == -1)</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a2a5386561ba622e05cb64345fdad6a3b">inv</a>(x1);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">if</span> (x2 == -0.5)</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aca2d4971bfd22beacb304bdd5b9d3395">inv_sqrt</a>(x1);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">if</span> (x2 == 0.5)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(x1);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keywordflow">if</span> (x2 == 1.0)</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="keywordflow">return</span> x1;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">if</span> (x2 == 2.0)</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(x1);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>(<a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2),</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                     x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a> * x2 * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(x1.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>, x2 - 1));</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;  }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;}</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aca2d4971bfd22beacb304bdd5b9d3395"><div class="ttname"><a href="namespacestan_1_1math.html#aca2d4971bfd22beacb304bdd5b9d3395">stan::math::inv_sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; inv_sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv__sqrt_8hpp_source.html#l00015">inv_sqrt.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2inv__square_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2inv__square_8hpp.html">inv_square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a52dafae271ea06210bf3cbe2545ead16"><div class="ttname"><a href="namespacestan_1_1math.html#a52dafae271ea06210bf3cbe2545ead16">stan::math::pow</a></div><div class="ttdeci">var pow(const double base, const var &amp;exponent)</div><div class="ttdoc">Return the base scalar raised to the power of the exponent variable (cmath). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2pow_8hpp_source.html#l00141">pow.hpp:141</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2inv_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2inv_8hpp.html">inv.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2sqrt_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2sqrt_8hpp.html">sqrt.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa7c1f6b0f3c9f48fa30e09f2d929336d"><div class="ttname"><a href="namespacestan_1_1math.html#aa7c1f6b0f3c9f48fa30e09f2d929336d">stan::math::inv_square</a></div><div class="ttdeci">fvar&lt; T &gt; inv_square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv__square_8hpp_source.html#l00015">inv_square.hpp:15</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2inv__sqrt_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2inv__sqrt_8hpp.html">inv_sqrt.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2primitive__value_8hpp_source.html">stan/math/prim/scal/fun/primitive_value.hpp</a>&gt;</code><br />
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+<tr class="memitem:a24337e3af682981f05d1cc022e675891"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a24337e3af682981f05d1cc022e675891">stan::math::primitive_value</a> (const fvar&lt; T &gt; &amp;v)</td></tr>
+<tr class="memdesc:a24337e3af682981f05d1cc022e675891"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the primitive value of the specified forward-mode autodiff variable.  <a href="namespacestan_1_1math.html#a24337e3af682981f05d1cc022e675891">More...</a><br /></td></tr>
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+<a href="fwd_2scal_2fun_2primitive__value_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_PRIMITIVE_VALUE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_PRIMITIVE_VALUE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2primitive__value_8hpp.html">stan/math/prim/scal/fun/primitive_value.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a24337e3af682981f05d1cc022e675891">primitive_value</a>(v.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>);</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;  }</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;}</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a24337e3af682981f05d1cc022e675891"><div class="ttname"><a href="namespacestan_1_1math.html#a24337e3af682981f05d1cc022e675891">stan::math::primitive_value</a></div><div class="ttdeci">double primitive_value(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the primitive value of the specified forward-mode autodiff variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2primitive__value_8hpp_source.html#l00022">primitive_value.hpp:22</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2primitive__value_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2primitive__value_8hpp.html">primitive_value.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2rising__factorial_8hpp_source.html">stan/math/prim/scal/fun/rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;iostream&gt;</code><br />
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+<tr class="memitem:ac5aa264060b3c4ed7954f07dc0fcf138"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ac5aa264060b3c4ed7954f07dc0fcf138"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac5aa264060b3c4ed7954f07dc0fcf138">stan::math::rising_factorial</a> (const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</td></tr>
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+<a href="fwd_2scal_2fun_2rising__factorial_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_RISING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_RISING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2rising__factorial_8hpp.html">stan/math/prim/scal/fun/rising_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ac5aa264060b3c4ed7954f07dc0fcf138"><div class="ttname"><a href="namespacestan_1_1math.html#ac5aa264060b3c4ed7954f07dc0fcf138">stan::math::rising_factorial</a></div><div class="ttdeci">fvar&lt; T &gt; rising_factorial(const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2rising__factorial_8hpp_source.html#l00016">rising_factorial.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:adb73c37a4cec41a69516391a2336fb11"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:adb73c37a4cec41a69516391a2336fb11"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adb73c37a4cec41a69516391a2336fb11">stan::math::round</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="fwd_2scal_2fun_2round_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_ROUND_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_ROUND_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#adb73c37a4cec41a69516391a2336fb11">   11</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a> <a class="code" href="namespacestan_1_1math.html#adb73c37a4cec41a69516391a2336fb11">round</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; x) {</div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    }</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
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+<a href="fwd_2scal_2fun_2sinh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_SINH_HPP</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_aee4fa5213b343a52756c138107ac180b"><div class="ttname"><a href="namespacestan_1_1math.html#aee4fa5213b343a52756c138107ac180b">stan::math::cosh</a></div><div class="ttdeci">fvar&lt; T &gt; cosh(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2cosh_8hpp_source.html#l00013">cosh.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a646a34790ca2b692b2a8c74c4e4fb726"><div class="ttname"><a href="namespacestan_1_1math.html#a646a34790ca2b692b2a8c74c4e4fb726">stan::math::sinh</a></div><div class="ttdeci">fvar&lt; T &gt; sinh(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sinh_8hpp_source.html#l00014">sinh.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a241b79300774f40a6e67b7156b494462"><div class="ttname"><a href="namespacestan_1_1math.html#a241b79300774f40a6e67b7156b494462">stan::math::sinh</a></div><div class="ttdeci">var sinh(const var &amp;a)</div><div class="ttdoc">Return the hyperbolic sine of the specified variable (cmath). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2sinh_8hpp_source.html#l00049">sinh.hpp:49</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__sqrt_8hpp_source.html">stan/math/prim/scal/fun/inv_sqrt.hpp</a>&gt;</code><br />
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+<tr class="memitem:aa5231d132852d58cd3fe610221c9766f"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
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+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
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+<a href="fwd_2scal_2fun_2tanh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_TANH_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a73eaf0a5d0593bb8610234e0d69e7cec"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a73eaf0a5d0593bb8610234e0d69e7cec"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">stan::math::tgamma</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
+<tr class="separator:a73eaf0a5d0593bb8610234e0d69e7cec"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="ttc" id="namespacestan_1_1math_html_a73eaf0a5d0593bb8610234e0d69e7cec"><div class="ttname"><a href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">stan::math::tgamma</a></div><div class="ttdeci">fvar&lt; T &gt; tgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2tgamma_8hpp_source.html#l00015">tgamma.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_TRUNC_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  }</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;}</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a80e85e1eba4076438c72cd986fde40e8"><div class="ttname"><a href="namespacestan_1_1math.html#a80e85e1eba4076438c72cd986fde40e8">stan::math::trunc</a></div><div class="ttdeci">var trunc(const var &amp;a)</div><div class="ttdoc">Returns the truncatation of the specified variable (C99). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2trunc_8hpp_source.html#l00060">trunc.hpp:60</a></div></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a79abc1d4f747b3c26c07b2b1e4871603"><div class="ttname"><a href="namespacestan_1_1math.html#a79abc1d4f747b3c26c07b2b1e4871603">stan::math::trunc</a></div><div class="ttdeci">fvar&lt; T &gt; trunc(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2trunc_8hpp_source.html#l00012">trunc.hpp:12</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2fun_2value__of_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a541f8f9d951f4d48c457dcecad5e326b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a541f8f9d951f4d48c457dcecad5e326b"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a> (const fvar&lt; T &gt; &amp;v)</td></tr>
+<tr class="memdesc:a541f8f9d951f4d48c457dcecad5e326b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of the specified variable.  <a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">More...</a><br /></td></tr>
+<tr class="separator:a541f8f9d951f4d48c457dcecad5e326b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">value_of.hpp</div>  </div>
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+<a href="fwd_2scal_2fun_2value__of_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_VALUE_OF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_VALUE_OF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">   16</a></span>&#160;    <span class="keyword">inline</span> T <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(<span class="keyword">const</span> <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T&gt;</a>&amp; v) {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keywordflow">return</span> v.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of__rec_8hpp_source.html">stan/math/prim/scal/fun/value_of_rec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2fun_2value__of__rec_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a00b8cbdec7c35e7c93b0f47dae3c5498"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a00b8cbdec7c35e7c93b0f47dae3c5498"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">stan::math::value_of_rec</a> (const fvar&lt; T &gt; &amp;v)</td></tr>
+<tr class="memdesc:a00b8cbdec7c35e7c93b0f47dae3c5498"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of the specified variable.  <a href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">More...</a><br /></td></tr>
+<tr class="separator:a00b8cbdec7c35e7c93b0f47dae3c5498"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="fwd_2scal_2fun_2value__of__rec_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_FUN_VALUE_OF_REC_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_FUN_VALUE_OF_REC_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of__rec_8hpp.html">stan/math/prim/scal/fun/value_of_rec.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a00b8cbdec7c35e7c93b0f47dae3c5498"><div class="ttname"><a href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">stan::math::value_of_rec</a></div><div class="ttdeci">double value_of_rec(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of__rec_8hpp_source.html#l00021">value_of_rec.hpp:21</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
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+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">This class builds partial derivatives with respect to a set of operands.  <a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#details">More...</a><br /></td></tr>
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+</div><!--header-->
+<div class="contents">
+<a href="fwd_2scal_2meta_2_operands_and_partials_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_META_OPERANDSANDPARTIALS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_META_OPERANDSANDPARTIALS_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="comment">// These are helpers to the OperandsAndPartials specialization for</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="comment">// stan::math::fvar</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_derivative,</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;                <span class="keyword">typename</span> T,</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;                <span class="keyword">typename</span> T_partials,</div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                <span class="keywordtype">bool</span> is_const = is_constant_struct&lt;T&gt;::value&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">struct </span>increment_derivative {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <span class="keyword">inline</span> T_derivative operator()(<span class="keyword">const</span> T&amp; x,</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      };</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                <span class="keyword">typename</span> T_partials&gt;</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                <span class="keyword">typename</span> T3, <span class="keyword">typename</span> D3, <span class="keyword">typename</span> T4, <span class="keyword">typename</span> D4,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                <span class="keyword">typename</span> T5, <span class="keyword">typename</span> D5, <span class="keyword">typename</span> T6, <span class="keyword">typename</span> D6&gt;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      fvar&lt;T&gt; partials_to_fvar(T&amp; logp,</div>
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+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                               <span class="keyword">const</span> T3&amp; x3, D3&amp; d_x3,</div>
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+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        T deriv = 0;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keywordflow">if</span> (!is_constant_struct&lt;T1&gt;::value)</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;          deriv += increment_derivative&lt;T, T1, D1&gt;()(x1, d_x1);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">if</span> (!is_constant_struct&lt;T2&gt;::value)</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;          deriv += increment_derivative&lt;T, T2, D2&gt;()(x2, d_x2);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keywordflow">if</span> (!is_constant_struct&lt;T3&gt;::value)</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;          deriv += increment_derivative&lt;T, T3, D3&gt;()(x3, d_x3);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">if</span> (!is_constant_struct&lt;T4&gt;::value)</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;          deriv += increment_derivative&lt;T, T4, D4&gt;()(x4, d_x4);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordflow">if</span> (!is_constant_struct&lt;T5&gt;::value)</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;          deriv += increment_derivative&lt;T, T5, D5&gt;()(x5, d_x5);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keywordflow">if</span> (!is_constant_struct&lt;T6&gt;::value)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          deriv += increment_derivative&lt;T, T6, D6&gt;()(x6, d_x6);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt;T&gt;</a>(logp, deriv);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    }</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3,</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;             <span class="keyword">typename</span> T4, <span class="keyword">typename</span> T5, <span class="keyword">typename</span> T6,</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;             <span class="keyword">typename</span> T_partials_return&gt;</div>
+<div class="line"><a name="l00104"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">  104</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials</a>&lt;T1, T2, T3, T4, T5, T6,</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                               typename <a class="code" href="namespacestan.html">stan</a>::<a class="code" href="structstan_1_1math_1_1fvar.html">math::fvar</a>&lt;T_partials_return&gt; &gt; {</div>
+<div class="line"><a name="l00106"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a11df2759b74191311e15902d40236668">  106</a></span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt;T_partials_return&gt;</a> <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a11df2759b74191311e15902d40236668">T_return_type</a>;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a49eb3bb3640c570e10687030f1e3405f">  108</a></span>&#160;      <span class="keyword">const</span> T1&amp; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a49eb3bb3640c570e10687030f1e3405f">x1_</a>;</div>
+<div class="line"><a name="l00109"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a1baff21ab47b8a6ee3db28e355742b60">  109</a></span>&#160;      <span class="keyword">const</span> T2&amp; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a1baff21ab47b8a6ee3db28e355742b60">x2_</a>;</div>
+<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a8cd2a75a6de6b8c9d2894eebd232d159">  110</a></span>&#160;      <span class="keyword">const</span> T3&amp; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a8cd2a75a6de6b8c9d2894eebd232d159">x3_</a>;</div>
+<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a0a48704c56f7d988725289dba09b9100">  111</a></span>&#160;      <span class="keyword">const</span> T4&amp; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a0a48704c56f7d988725289dba09b9100">x4_</a>;</div>
+<div class="line"><a name="l00112"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aba67588e7b9072563a201a48811a35dd">  112</a></span>&#160;      <span class="keyword">const</span> T5&amp; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aba67588e7b9072563a201a48811a35dd">x5_</a>;</div>
+<div class="line"><a name="l00113"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ad71f9b51cf019db8d4a0abd881bf3e87">  113</a></span>&#160;      <span class="keyword">const</span> T6&amp; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ad71f9b51cf019db8d4a0abd881bf3e87">x6_</a>;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acd3e29411cbc4f04ff8a02d2d4c4ceb9">  115</a></span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acd3e29411cbc4f04ff8a02d2d4c4ceb9">n_partials</a>;</div>
+<div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acfa641023c43838d73d1542e5f8fb972">  116</a></span>&#160;      T_partials_return* <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acfa641023c43838d73d1542e5f8fb972">all_partials</a>;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;T_partials_return,</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T1&gt;::value</a>,</div>
+<div class="line"><a name="l00121"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#af3f9c82e9116cc0419b7d9cdac8944cc">  121</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T1&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#af3f9c82e9116cc0419b7d9cdac8944cc">d_x1</a>;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;T_partials_return,</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T2&gt;::value</a>,</div>
+<div class="line"><a name="l00124"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ab75d8cd6f71d3c5b378b82d813caf285">  124</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T2&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ab75d8cd6f71d3c5b378b82d813caf285">d_x2</a>;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;T_partials_return,</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T3&gt;::value</a>,</div>
+<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae93a9300d6811b879497cf681caeca67">  127</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T3&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae93a9300d6811b879497cf681caeca67">d_x3</a>;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;T_partials_return,</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T4&gt;::value</a>,</div>
+<div class="line"><a name="l00130"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ada24bf5265c454ba822b272cc65a87e8">  130</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T4&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ada24bf5265c454ba822b272cc65a87e8">d_x4</a>;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;T_partials_return,</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T5&gt;::value</a>,</div>
+<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a6eb9817647f74585a99795941a0ed0bb">  133</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T5&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a6eb9817647f74585a99795941a0ed0bb">d_x5</a>;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;T_partials_return,</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T6&gt;::value</a>,</div>
+<div class="line"><a name="l00136"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a7a93e0cb0633c8410c001aeb5b7756e3">  136</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T6&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a7a93e0cb0633c8410c001aeb5b7756e3">d_x6</a>;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div>
+<div class="line"><a name="l00138"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae71d14e91cd63326881e433fc17ff0b2">  138</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae71d14e91cd63326881e433fc17ff0b2">OperandsAndPartials</a>(<span class="keyword">const</span> T1&amp; x1 = 0, <span class="keyword">const</span> T2&amp; x2 = 0, <span class="keyword">const</span> T3&amp; x3 = 0,</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;                          <span class="keyword">const</span> T4&amp; x4 = 0, <span class="keyword">const</span> T5&amp; x5 = 0, <span class="keyword">const</span> T6&amp; x6 = 0)</div>
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+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                     !<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T2&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a> * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x2) +</div>
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+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                     !<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T5&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a> * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x5) +</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;                     !<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T6&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a> * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x6)),</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;          all_partials(new T_partials_return[n_partials]),</div>
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+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;          d_x2(all_partials</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T1&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x1)),</div>
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+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T1&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x1)</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T2&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x2)),</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;          d_x4(all_partials</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T1&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x1)</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T2&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x2)</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T3&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x3)),</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;          d_x5(all_partials</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T1&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x1)</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T2&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x2)</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T3&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x3)</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T4&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x4)),</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;          d_x6(all_partials</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T1&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x1)</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T2&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x2)</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T3&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x3)</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T4&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x4)</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T5&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x5)) {</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aa7f5d81c4d45f2407096def8810ffe00">std::fill</a>(all_partials, all_partials + n_partials, 0);</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;      }</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;      T_return_type</div>
+<div class="line"><a name="l00173"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aeb8fad2b3e145dcd7538141e3090990e">  173</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aeb8fad2b3e145dcd7538141e3090990e">value</a>(T_partials_return <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) {</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        <span class="keywordflow">return</span> partials_to_fvar(value,</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;                                x1_, d_x1, x2_, d_x2,</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;                                x3_, d_x3, x4_, d_x4,</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;                                x5_, d_x4, x6_, d_x5);</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;      }</div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;</div>
+<div class="line"><a name="l00180"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a381ae87f6867b7cf252f48f47b61936c">  180</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a381ae87f6867b7cf252f48f47b61936c">~OperandsAndPartials</a>() {</div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        <span class="keyword">delete</span>[] all_partials;</div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;      }</div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;    };</div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;  }</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;}</div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_acd3e29411cbc4f04ff8a02d2d4c4ceb9"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acd3e29411cbc4f04ff8a02d2d4c4ceb9">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::n_partials</a></div><div class="ttdeci">size_t n_partials</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00115">OperandsAndPartials.hpp:115</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_aeb8fad2b3e145dcd7538141e3090990e"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aeb8fad2b3e145dcd7538141e3090990e">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::value</a></div><div class="ttdeci">T_return_type value(T_partials_return value)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00173">OperandsAndPartials.hpp:173</a></div></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_ab75d8cd6f71d3c5b378b82d813caf285"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ab75d8cd6f71d3c5b378b82d813caf285">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::d_x2</a></div><div class="ttdeci">VectorView&lt; T_partials_return, is_vector&lt; T2 &gt;::value, is_constant_struct&lt; T2 &gt;::value &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00124">OperandsAndPartials.hpp:124</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_af3f9c82e9116cc0419b7d9cdac8944cc"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#af3f9c82e9116cc0419b7d9cdac8944cc">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::d_x1</a></div><div class="ttdeci">VectorView&lt; T_partials_return, is_vector&lt; T1 &gt;::value, is_constant_struct&lt; T1 &gt;::value &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00121">OperandsAndPartials.hpp:121</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_a0a48704c56f7d988725289dba09b9100"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a0a48704c56f7d988725289dba09b9100">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::x4_</a></div><div class="ttdeci">const T4 &amp; x4_</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00111">OperandsAndPartials.hpp:111</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_a6eb9817647f74585a99795941a0ed0bb"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a6eb9817647f74585a99795941a0ed0bb">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::d_x5</a></div><div class="ttdeci">VectorView&lt; T_partials_return, is_vector&lt; T5 &gt;::value, is_constant_struct&lt; T5 &gt;::value &gt; d_x5</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00133">OperandsAndPartials.hpp:133</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_a1baff21ab47b8a6ee3db28e355742b60"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a1baff21ab47b8a6ee3db28e355742b60">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::x2_</a></div><div class="ttdeci">const T2 &amp; x2_</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00109">OperandsAndPartials.hpp:109</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_ada24bf5265c454ba822b272cc65a87e8"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ada24bf5265c454ba822b272cc65a87e8">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::d_x4</a></div><div class="ttdeci">VectorView&lt; T_partials_return, is_vector&lt; T4 &gt;::value, is_constant_struct&lt; T4 &gt;::value &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00130">OperandsAndPartials.hpp:130</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__vector_html"><div class="ttname"><a href="structstan_1_1is__vector.html">stan::is_vector</a></div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__vector_8hpp_source.html#l00010">is_vector.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_a11df2759b74191311e15902d40236668"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a11df2759b74191311e15902d40236668">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::T_return_type</a></div><div class="ttdeci">stan::math::fvar&lt; T_partials_return &gt; T_return_type</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00106">OperandsAndPartials.hpp:106</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_a49eb3bb3640c570e10687030f1e3405f"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a49eb3bb3640c570e10687030f1e3405f">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::x1_</a></div><div class="ttdeci">const T1 &amp; x1_</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00108">OperandsAndPartials.hpp:108</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_ad71f9b51cf019db8d4a0abd881bf3e87"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ad71f9b51cf019db8d4a0abd881bf3e87">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::x6_</a></div><div class="ttdeci">const T6 &amp; x6_</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00113">OperandsAndPartials.hpp:113</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0597dca74b96a4287c6f848489288d44"><div class="ttname"><a href="namespacestan_1_1math.html#a0597dca74b96a4287c6f848489288d44">stan::math::derivative</a></div><div class="ttdeci">void derivative(const F &amp;f, const T &amp;x, T &amp;fx, T &amp;dfx_dx)</div><div class="ttdoc">Return the derivative of the specified univariate function at the specified argument. </div><div class="ttdef"><b>Definition:</b> <a href="derivative_8hpp_source.html#l00026">derivative.hpp:26</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_ae93a9300d6811b879497cf681caeca67"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae93a9300d6811b879497cf681caeca67">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::d_x3</a></div><div class="ttdeci">VectorView&lt; T_partials_return, is_vector&lt; T3 &gt;::value, is_constant_struct&lt; T3 &gt;::value &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00127">OperandsAndPartials.hpp:127</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_a381ae87f6867b7cf252f48f47b61936c"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a381ae87f6867b7cf252f48f47b61936c">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::~OperandsAndPartials</a></div><div class="ttdeci">~OperandsAndPartials()</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00180">OperandsAndPartials.hpp:180</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa7f5d81c4d45f2407096def8810ffe00"><div class="ttname"><a href="namespacestan_1_1math.html#aa7f5d81c4d45f2407096def8810ffe00">stan::math::fill</a></div><div class="ttdeci">void fill(std::vector&lt; T &gt; &amp;x, const S &amp;y)</div><div class="ttdoc">Fill the specified container with the specified value. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2fun_2fill_8hpp_source.html#l00022">fill.hpp:22</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_a8cd2a75a6de6b8c9d2894eebd232d159"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a8cd2a75a6de6b8c9d2894eebd232d159">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::x3_</a></div><div class="ttdeci">const T3 &amp; x3_</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00110">OperandsAndPartials.hpp:110</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_aba67588e7b9072563a201a48811a35dd"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aba67588e7b9072563a201a48811a35dd">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::x5_</a></div><div class="ttdeci">const T5 &amp; x5_</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00112">OperandsAndPartials.hpp:112</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_a7a93e0cb0633c8410c001aeb5b7756e3"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a7a93e0cb0633c8410c001aeb5b7756e3">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::d_x6</a></div><div class="ttdeci">VectorView&lt; T_partials_return, is_vector&lt; T6 &gt;::value, is_constant_struct&lt; T6 &gt;::value &gt; d_x6</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00136">OperandsAndPartials.hpp:136</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_acfa641023c43838d73d1542e5f8fb972"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acfa641023c43838d73d1542e5f8fb972">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::all_partials</a></div><div class="ttdeci">T_partials_return * all_partials</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00116">OperandsAndPartials.hpp:116</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2_html_ae71d14e91cd63326881e433fc17ff0b2"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae71d14e91cd63326881e433fc17ff0b2">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;::OperandsAndPartials</a></div><div class="ttdeci">OperandsAndPartials(const T1 &amp;x1=0, const T2 &amp;x2=0, const T3 &amp;x3=0, const T4 &amp;x4=0, const T5 &amp;x5=0, const T6 &amp;x6=0)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00138">OperandsAndPartials.hpp:138</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2is__fvar_8hpp_source.html">stan/math/prim/scal/meta/is_fvar.hpp</a>&gt;</code><br />
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+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1is__fvar_html"><div class="ttname"><a href="structstan_1_1is__fvar.html">stan::is_fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2is__fvar_8hpp_source.html#l00007">is_fvar.hpp:7</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2partials__type_8hpp_source.html">stan/math/prim/scal/meta/partials_type.hpp</a>&gt;</code><br />
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_891b99f71c153bb46cf7117b6e9a16c0.html">fwd</a></li><li class="navelem"><a class="el" href="dir_c4a9b5014dab4963a2c9a69f60759e2b.html">scal</a></li><li class="navelem"><a class="el" href="dir_7d7f4100b56de2553c5b686e97e2b25a.html">meta</a></li>  </ul>
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+<div class="title">partials_type.hpp</div>  </div>
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+<a href="fwd_2scal_2meta_2partials__type_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_META_PARTIALS_TYPE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_META_PARTIALS_TYPE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2partials__type_8hpp.html">stan/math/prim/scal/meta/partials_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00010"></a><span class="lineno"><a class="line" href="structstan_1_1partials__type_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">   10</a></span>&#160;  <span class="keyword">struct </span><a class="code" href="structstan_1_1partials__type.html">partials_type</a>&lt;<a class="code" href="namespacestan.html">stan</a>::<a class="code" href="structstan_1_1math_1_1fvar.html">math::fvar</a>&lt;T&gt; &gt; {</div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  };</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;}</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2partials__type_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2partials__type_8hpp.html">partials_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1partials__type_html"><div class="ttname"><a href="structstan_1_1partials__type.html">stan::partials_type</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2partials__type_8hpp_source.html#l00007">partials_type.hpp:7</a></div></div>
+<div class="ttc" id="structstan_1_1partials__type_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4_html_af8a313bf6a2791e160112bda56d44288"><div class="ttname"><a href="structstan_1_1partials__type_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#af8a313bf6a2791e160112bda56d44288">stan::partials_type&lt; stan::math::fvar&lt; T &gt; &gt;::type</a></div><div class="ttdeci">T type</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2meta_2partials__type_8hpp_source.html#l00011">partials_type.hpp:11</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <div class="headertitle">
+<div class="title">scal.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html">stan/math/fwd/scal/meta/is_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2partials__type_8hpp_source.html">stan/math/fwd/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/fwd/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_8hpp_source.html">stan/math/prim/scal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2_phi_8hpp_source.html">stan/math/fwd/scal/fun/Phi.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2abs_8hpp_source.html">stan/math/fwd/scal/fun/abs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2acos_8hpp_source.html">stan/math/fwd/scal/fun/acos.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2acosh_8hpp_source.html">stan/math/fwd/scal/fun/acosh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2asin_8hpp_source.html">stan/math/fwd/scal/fun/asin.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2asinh_8hpp_source.html">stan/math/fwd/scal/fun/asinh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2atan_8hpp_source.html">stan/math/fwd/scal/fun/atan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2atan2_8hpp_source.html">stan/math/fwd/scal/fun/atan2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2atanh_8hpp_source.html">stan/math/fwd/scal/fun/atanh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2bessel__first__kind_8hpp_source.html">stan/math/fwd/scal/fun/bessel_first_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2bessel__second__kind_8hpp_source.html">stan/math/fwd/scal/fun/bessel_second_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2binary__log__loss_8hpp_source.html">stan/math/fwd/scal/fun/binary_log_loss.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/fwd/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2cbrt_8hpp_source.html">stan/math/fwd/scal/fun/cbrt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2ceil_8hpp_source.html">stan/math/fwd/scal/fun/ceil.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2cos_8hpp_source.html">stan/math/fwd/scal/fun/cos.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2cosh_8hpp_source.html">stan/math/fwd/scal/fun/cosh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2digamma_8hpp_source.html">stan/math/fwd/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2erf_8hpp_source.html">stan/math/fwd/scal/fun/erf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2erfc_8hpp_source.html">stan/math/fwd/scal/fun/erfc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2exp_8hpp_source.html">stan/math/fwd/scal/fun/exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2exp2_8hpp_source.html">stan/math/fwd/scal/fun/exp2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2expm1_8hpp_source.html">stan/math/fwd/scal/fun/expm1.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2fabs_8hpp_source.html">stan/math/fwd/scal/fun/fabs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2falling__factorial_8hpp_source.html">stan/math/fwd/scal/fun/falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2fdim_8hpp_source.html">stan/math/fwd/scal/fun/fdim.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2floor_8hpp_source.html">stan/math/fwd/scal/fun/floor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html">stan/math/fwd/scal/fun/fma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2fmax_8hpp_source.html">stan/math/fwd/scal/fun/fmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2fmin_8hpp_source.html">stan/math/fwd/scal/fun/fmin.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2fmod_8hpp_source.html">stan/math/fwd/scal/fun/fmod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/fwd/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/fwd/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2grad__inc__beta_8hpp_source.html">stan/math/fwd/scal/fun/grad_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2hypot_8hpp_source.html">stan/math/fwd/scal/fun/hypot.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/fwd/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2inv_8hpp_source.html">stan/math/fwd/scal/fun/inv.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2inv___phi_8hpp_source.html">stan/math/fwd/scal/fun/inv_Phi.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2inv__cloglog_8hpp_source.html">stan/math/fwd/scal/fun/inv_cloglog.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/fwd/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2inv__sqrt_8hpp_source.html">stan/math/fwd/scal/fun/inv_sqrt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2inv__square_8hpp_source.html">stan/math/fwd/scal/fun/inv_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2is__inf_8hpp_source.html">stan/math/fwd/scal/fun/is_inf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2is__nan_8hpp_source.html">stan/math/fwd/scal/fun/is_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2lbeta_8hpp_source.html">stan/math/fwd/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2lgamma_8hpp_source.html">stan/math/fwd/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2lmgamma_8hpp_source.html">stan/math/fwd/scal/fun/lmgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log_8hpp_source.html">stan/math/fwd/scal/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log10_8hpp_source.html">stan/math/fwd/scal/fun/log10.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log1m_8hpp_source.html">stan/math/fwd/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log1m__exp_8hpp_source.html">stan/math/fwd/scal/fun/log1m_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log1m__inv__logit_8hpp_source.html">stan/math/fwd/scal/fun/log1m_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log1p_8hpp_source.html">stan/math/fwd/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log1p__exp_8hpp_source.html">stan/math/fwd/scal/fun/log1p_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log2_8hpp_source.html">stan/math/fwd/scal/fun/log2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log__diff__exp_8hpp_source.html">stan/math/fwd/scal/fun/log_diff_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log__falling__factorial_8hpp_source.html">stan/math/fwd/scal/fun/log_falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log__inv__logit_8hpp_source.html">stan/math/fwd/scal/fun/log_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html">stan/math/fwd/scal/fun/log_mix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log__rising__factorial_8hpp_source.html">stan/math/fwd/scal/fun/log_rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2log__sum__exp_8hpp_source.html">stan/math/fwd/scal/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2logit_8hpp_source.html">stan/math/fwd/scal/fun/logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">stan/math/fwd/scal/fun/modified_bessel_first_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html">stan/math/fwd/scal/fun/modified_bessel_second_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/fwd/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2owens__t_8hpp_source.html">stan/math/fwd/scal/fun/owens_t.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2pow_8hpp_source.html">stan/math/fwd/scal/fun/pow.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2primitive__value_8hpp_source.html">stan/math/fwd/scal/fun/primitive_value.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2rising__factorial_8hpp_source.html">stan/math/fwd/scal/fun/rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2round_8hpp_source.html">stan/math/fwd/scal/fun/round.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2sin_8hpp_source.html">stan/math/fwd/scal/fun/sin.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2sinh_8hpp_source.html">stan/math/fwd/scal/fun/sinh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2sqrt_8hpp_source.html">stan/math/fwd/scal/fun/sqrt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2square_8hpp_source.html">stan/math/fwd/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2tan_8hpp_source.html">stan/math/fwd/scal/fun/tan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2tanh_8hpp_source.html">stan/math/fwd/scal/fun/tanh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2tgamma_8hpp_source.html">stan/math/fwd/scal/fun/tgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/scal/fun/to_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2trunc_8hpp_source.html">stan/math/fwd/scal/fun/trunc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2value__of_8hpp_source.html">stan/math/fwd/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2fun_2value__of__rec_8hpp_source.html">stan/math/fwd/scal/fun/value_of_rec.hpp</a>&gt;</code><br />
+</div>
+<p><a href="fwd_2scal_8hpp_source.html">Go to the source code of this file.</a></p>
+</div><!-- contents -->
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_891b99f71c153bb46cf7117b6e9a16c0.html">fwd</a></li>  </ul>
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+<div class="title">scal.hpp</div>  </div>
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+<a href="fwd_2scal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_SCAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_SCAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2meta_2is__fvar_8hpp.html">stan/math/fwd/scal/meta/is_fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2meta_2partials__type_8hpp.html">stan/math/fwd/scal/meta/partials_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/fwd/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_8hpp.html">stan/math/prim/scal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2_phi_8hpp.html">stan/math/fwd/scal/fun/Phi.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2abs_8hpp.html">stan/math/fwd/scal/fun/abs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2acos_8hpp.html">stan/math/fwd/scal/fun/acos.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2acosh_8hpp.html">stan/math/fwd/scal/fun/acosh.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2asin_8hpp.html">stan/math/fwd/scal/fun/asin.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2asinh_8hpp.html">stan/math/fwd/scal/fun/asinh.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2atan_8hpp.html">stan/math/fwd/scal/fun/atan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2atan2_8hpp.html">stan/math/fwd/scal/fun/atan2.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2atanh_8hpp.html">stan/math/fwd/scal/fun/atanh.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2bessel__first__kind_8hpp.html">stan/math/fwd/scal/fun/bessel_first_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2bessel__second__kind_8hpp.html">stan/math/fwd/scal/fun/bessel_second_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2binary__log__loss_8hpp.html">stan/math/fwd/scal/fun/binary_log_loss.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/fwd/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2cbrt_8hpp.html">stan/math/fwd/scal/fun/cbrt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2ceil_8hpp.html">stan/math/fwd/scal/fun/ceil.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2cos_8hpp.html">stan/math/fwd/scal/fun/cos.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2cosh_8hpp.html">stan/math/fwd/scal/fun/cosh.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2digamma_8hpp.html">stan/math/fwd/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2erf_8hpp.html">stan/math/fwd/scal/fun/erf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2erfc_8hpp.html">stan/math/fwd/scal/fun/erfc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2exp_8hpp.html">stan/math/fwd/scal/fun/exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2exp2_8hpp.html">stan/math/fwd/scal/fun/exp2.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2expm1_8hpp.html">stan/math/fwd/scal/fun/expm1.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2fabs_8hpp.html">stan/math/fwd/scal/fun/fabs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2falling__factorial_8hpp.html">stan/math/fwd/scal/fun/falling_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2fdim_8hpp.html">stan/math/fwd/scal/fun/fdim.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2fma_8hpp.html">stan/math/fwd/scal/fun/fma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2fmax_8hpp.html">stan/math/fwd/scal/fun/fmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2fmin_8hpp.html">stan/math/fwd/scal/fun/fmin.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2scal_2fun_2fmod_8hpp.html">stan/math/fwd/scal/fun/fmod.hpp</a>&gt;</span></div>
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+<div class="ttc" id="fwd_2scal_2fun_2cbrt_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2cbrt_8hpp.html">cbrt.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2expm1_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2expm1_8hpp.html">expm1.hpp</a></div></div>
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+<div class="ttc" id="fwd_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="fwd_2scal_2fun_2round_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2round_8hpp.html">round.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2tanh_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2tanh_8hpp.html">tanh.hpp</a></div></div>
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+<div class="ttc" id="fwd_2scal_2fun_2gamma__p_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2gamma__p_8hpp.html">gamma_p.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2rising__factorial_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2rising__factorial_8hpp.html">rising_factorial.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2inv__square_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2inv__square_8hpp.html">inv_square.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2pow_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2pow_8hpp.html">pow.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2fdim_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2fdim_8hpp.html">fdim.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2fun_2lmgamma_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2lmgamma_8hpp.html">lmgamma.hpp</a></div></div>
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+<div class="ttc" id="fwd_2scal_2fun_2fmax_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2fmax_8hpp.html">fmax.hpp</a></div></div>
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+<div class="ttc" id="fwd_2scal_2fun_2asin_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2asin_8hpp.html">asin.hpp</a></div></div>
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+<div class="ttc" id="fwd_2scal_2fun_2acosh_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2acosh_8hpp.html">acosh.hpp</a></div></div>
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+<div class="ttc" id="fwd_2scal_2fun_2cos_8hpp_html"><div class="ttname"><a href="fwd_2scal_2fun_2cos_8hpp.html">cos.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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diff --git a/doc/api/html/gamma__ccdf__log_8hpp.html b/doc/api/html/gamma__ccdf__log_8hpp.html
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+<div class="title">gamma_ccdf_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="gamma__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ae2f6f9efb0e1bacdc6415b6e0d6d6f00"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:ae2f6f9efb0e1bacdc6415b6e0d6d6f00"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae2f6f9efb0e1bacdc6415b6e0d6d6f00">stan::math::gamma_ccdf_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</td></tr>
+<tr class="separator:ae2f6f9efb0e1bacdc6415b6e0d6d6f00"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">gamma_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="gamma__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_GAMMA_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_GAMMA_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae2f6f9efb0e1bacdc6415b6e0d6d6f00">   35</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae2f6f9efb0e1bacdc6415b6e0d6d6f00">gamma_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                   <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_shape,</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::gamma_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                             <span class="stringliteral">&quot;Scale Parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="comment">// Compute ccdf_log and its gradients</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a>;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                    T_partials_return, T_shape&gt; gamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        digamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); i++) {</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      }</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="comment">// Compute vectorized ccdf_log and gradient</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 - <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">gamma_p</a>(alpha_dbl, beta_dbl * y_dbl);</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= beta_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl)</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_dbl, alpha_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            += <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(alpha_dbl, beta_dbl</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                                              * y_dbl, gamma_vec[n],</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                                              digamma_vec[n]) / Pn;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= y_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl)</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_dbl, alpha_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      }</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    }</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;  }</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;}</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae2f6f9efb0e1bacdc6415b6e0d6d6f00"><div class="ttname"><a href="namespacestan_1_1math.html#ae2f6f9efb0e1bacdc6415b6e0d6d6f00">stan::math::gamma_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_shape, T_inv_scale &gt;::type gamma_ccdf_log(const T_y &amp;y, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="gamma__ccdf__log_8hpp_source.html#l00035">gamma_ccdf_log.hpp:35</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5e9dd0895901bf876eca824b41f04003"><div class="ttname"><a href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a></div><div class="ttdeci">bool check_less_or_equal(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is less or equal to high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less__or__equal_8hpp_source.html#l00081">check_less_or_equal.hpp:81</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2gamma__p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__p_8hpp.html">gamma_p.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
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+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">gamma_cdf.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="gamma__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad927dbc83dc93b41cfb7a1ab6dccbd9e"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:ad927dbc83dc93b41cfb7a1ab6dccbd9e"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad927dbc83dc93b41cfb7a1ab6dccbd9e">stan::math::gamma_cdf</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</td></tr>
+<tr class="memdesc:ad927dbc83dc93b41cfb7a1ab6dccbd9e"><td class="mdescLeft">&#160;</td><td class="mdescRight">The cumulative density function for a gamma distribution for y with the specified shape and inverse scale parameters.  <a href="namespacestan_1_1math.html#ad927dbc83dc93b41cfb7a1ab6dccbd9e">More...</a><br /></td></tr>
+<tr class="separator:ad927dbc83dc93b41cfb7a1ab6dccbd9e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="contents">
+<a href="gamma__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_GAMMA_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_GAMMA_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad927dbc83dc93b41cfb7a1ab6dccbd9e">   49</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad927dbc83dc93b41cfb7a1ab6dccbd9e">gamma_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_shape,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::gamma_cdf&quot;</span>);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                             <span class="stringliteral">&quot;Scale Parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      }</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="comment">// Compute CDF and its gradients</span></div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a>;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                    T_partials_return, T_shape&gt; gamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        digamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); i++) {</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        }</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      }</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">gamma_p</a>(alpha_dbl, beta_dbl * y_dbl);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        P *= Pn;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += beta_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl)</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_dbl, alpha_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;            -= <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(alpha_dbl, beta_dbl</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                                              * y_dbl, gamma_vec[n],</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                                              digamma_vec[n]) / Pn;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += y_dbl  * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl)</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_dbl, alpha_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;      }</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] *= P;</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;      }</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); ++n)</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] *= P;</div>
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+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta); ++n)</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] *= P;</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;      }</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;    }</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;  }</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;}</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6336e9873f3029f5abe54c4914c71cb2"><div class="ttname"><a href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a></div><div class="ttdeci">T grad_reg_inc_gamma(T a, T z, T g, T dig, T precision=1e-6)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__gamma_8hpp_source.html#l00016">grad_reg_inc_gamma.hpp:16</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5e9dd0895901bf876eca824b41f04003"><div class="ttname"><a href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a></div><div class="ttdeci">bool check_less_or_equal(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is less or equal to high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less__or__equal_8hpp_source.html#l00081">check_less_or_equal.hpp:81</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad927dbc83dc93b41cfb7a1ab6dccbd9e"><div class="ttname"><a href="namespacestan_1_1math.html#ad927dbc83dc93b41cfb7a1ab6dccbd9e">stan::math::gamma_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_shape, T_inv_scale &gt;::type gamma_cdf(const T_y &amp;y, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</div><div class="ttdoc">The cumulative density function for a gamma distribution for y with the specified shape and inverse s...</div><div class="ttdef"><b>Definition:</b> <a href="gamma__cdf_8hpp_source.html#l00049">gamma_cdf.hpp:49</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa0fad89bd8e78eee42230dd92bcf1b15"><div class="ttname"><a href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_p(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__p_8hpp_source.html#l00015">gamma_p.hpp:15</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__p_8hpp.html">gamma_p.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
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+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">gamma_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="gamma__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:af878fa8fc2eaeec210aff65ec83f5323"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:af878fa8fc2eaeec210aff65ec83f5323"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af878fa8fc2eaeec210aff65ec83f5323">stan::math::gamma_cdf_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</td></tr>
+<tr class="separator:af878fa8fc2eaeec210aff65ec83f5323"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="gamma__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_GAMMA_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_GAMMA_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af878fa8fc2eaeec210aff65ec83f5323">   35</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#af878fa8fc2eaeec210aff65ec83f5323">gamma_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_shape,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::gamma_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Scale Parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      }</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="comment">// Compute cdf_log and its gradients</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                    T_partials_return, T_shape&gt; gamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        digamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); i++) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        }</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">gamma_p</a>(alpha_dbl, beta_dbl * y_dbl);</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += beta_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl)</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_dbl, alpha_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            -= <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(alpha_dbl, beta_dbl</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                                              * y_dbl, gamma_vec[n],</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;                                              digamma_vec[n]) / Pn;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += y_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_dbl)</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_dbl, alpha_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;      }</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    }</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;  }</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;}</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af878fa8fc2eaeec210aff65ec83f5323"><div class="ttname"><a href="namespacestan_1_1math.html#af878fa8fc2eaeec210aff65ec83f5323">stan::math::gamma_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_shape, T_inv_scale &gt;::type gamma_cdf_log(const T_y &amp;y, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="gamma__cdf__log_8hpp_source.html#l00035">gamma_cdf_log.hpp:35</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6336e9873f3029f5abe54c4914c71cb2"><div class="ttname"><a href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a></div><div class="ttdeci">T grad_reg_inc_gamma(T a, T z, T g, T dig, T precision=1e-6)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__gamma_8hpp_source.html#l00016">grad_reg_inc_gamma.hpp:16</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5e9dd0895901bf876eca824b41f04003"><div class="ttname"><a href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a></div><div class="ttdeci">bool check_less_or_equal(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is less or equal to high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less__or__equal_8hpp_source.html#l00081">check_less_or_equal.hpp:81</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa0fad89bd8e78eee42230dd92bcf1b15"><div class="ttname"><a href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_p(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__p_8hpp_source.html#l00015">gamma_p.hpp:15</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__p_8hpp.html">gamma_p.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">gamma_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="gamma__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aab77693b33e10406f7ca5d85ce97107f"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_shape , typename T_inv_scale &gt; </td></tr>
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+<tr class="memdesc:aab77693b33e10406f7ca5d85ce97107f"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of a gamma density for y with the specified shape and inverse scale parameters.  <a href="namespacestan_1_1math.html#aab77693b33e10406f7ca5d85ce97107f">More...</a><br /></td></tr>
+<tr class="separator:aab77693b33e10406f7ca5d85ce97107f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a03197f2fe5c3a96f77a9727f2db29d38"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_inv_scale &gt; </td></tr>
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+<tr class="separator:a03197f2fe5c3a96f77a9727f2db29d38"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="gamma__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_GAMMA_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_GAMMA_LOG_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aab77693b33e10406f7ca5d85ce97107f">   54</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aab77693b33e10406f7ca5d85ce97107f">gamma_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::gamma_log&quot;</span>);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_shape,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                             <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape, T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++) {</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keywordflow">if</span> (y_dbl &lt; 0)</div>
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+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      }</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
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+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">boost::math::lgamma</a>;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                    T_partials_return, T_y&gt; log_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++) {</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) &gt; 0)</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;            log_y[n] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]));</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        }</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      }</div>
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+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;                    T_partials_return, T_shape&gt; lgamma_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;                    T_partials_return, T_shape&gt; digamma_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); n++) {</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          lgamma_alpha[n] = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]));</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;          digamma_alpha[n] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]));</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      }</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_shape, T_inv_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                    T_partials_return, T_inv_scale&gt; log_beta(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta));</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape, T_inv_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta); n++)</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          log_beta[n] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]));</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;      }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        <span class="comment">// pull out values of arguments</span></div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;          logp -= lgamma_alpha[n];</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape, T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;          logp += alpha_dbl * log_beta[n];</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;          logp += (alpha_dbl-1.0) * log_y[n];</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_inv_scale&gt;::value</a>)</div>
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+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
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+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            + log_y[n];</div>
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+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += alpha_dbl / beta_dbl - y_dbl;</div>
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+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div>
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+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;      <span class="keywordflow">return</span> gamma_log&lt;false&gt;(y, alpha, beta);</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    }</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;  }</div>
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+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_acd99e429af3a997976a017d6a580e3f9"><div class="ttname"><a href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">stan::math::LOG_ZERO</a></div><div class="ttdeci">const double LOG_ZERO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00175">constants.hpp:175</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2gamma__p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__p_8hpp.html">gamma_p.hpp</a></div></div>
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+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+</div>
+<p><a href="gamma__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aacf6ec5f55f56b5756804a1771259a58"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:aacf6ec5f55f56b5756804a1771259a58"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">stan::math::gamma_rng</a> (const double alpha, const double beta, RNG &amp;rng)</td></tr>
+<tr class="separator:aacf6ec5f55f56b5756804a1771259a58"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="gamma__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_GAMMA_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_GAMMA_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">   30</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">gamma_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> alpha,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;              <span class="keyword">const</span> <span class="keywordtype">double</span> beta,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;              RNG&amp; rng) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> boost::gamma_distribution;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::gamma_rng&quot;</span>);</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">/*</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="comment">        the boost gamma distribution is defined by</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="comment">        shape and scale, whereas the stan one is defined</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="comment">        by shape and rate</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="comment">      */</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      variate_generator&lt;RNG&amp;, gamma_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">gamma_rng</a>(rng, gamma_distribution&lt;&gt;(alpha, 1.0 / beta));</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">gamma_rng</a>();</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  }</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;}</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__p_8hpp.html">gamma_p.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">gaussian_dlm_obs_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__cov__matrix_8hpp_source.html">stan/math/prim/mat/err/check_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__spsd__matrix_8hpp_source.html">stan/math/prim/mat/err/check_spsd_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="add_8hpp_source.html">stan/math/prim/mat/fun/add.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inverse__spd_8hpp_source.html">stan/math/prim/mat/fun/inverse_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log_8hpp_source.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant__spd_8hpp_source.html">stan/math/prim/mat/fun/log_determinant_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2quad__form_8hpp_source.html">stan/math/prim/mat/fun/quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2quad__form__sym_8hpp_source.html">stan/math/prim/mat/fun/quad_form_sym.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="subtract_8hpp_source.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2tcrossprod_8hpp_source.html">stan/math/prim/mat/fun/tcrossprod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__quad__form_8hpp_source.html">stan/math/prim/mat/fun/trace_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+</div>
+<p><a href="gaussian__dlm__obs__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+Functions</h2></td></tr>
+<tr class="memitem:a439b46e03e6dbd7269b60989cf31de85"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_F , typename T_G , typename T_V , typename T_W , typename T_m0 , typename T_C0 &gt; </td></tr>
+<tr class="memitem:a439b46e03e6dbd7269b60989cf31de85"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, typename return_type&lt; T_F, T_G, T_V, T_W, T_m0, T_C0 &gt;::type &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a439b46e03e6dbd7269b60989cf31de85">stan::math::gaussian_dlm_obs_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const Eigen::Matrix&lt; T_F, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;F, const Eigen::Matrix&lt; T_G, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;G, const Eigen::Matrix&lt; T_V, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;V, const Eigen::Matrix&lt; T_W, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;W, const Eigen::Matrix&lt; T_m0, Eigen::Dynamic, 1 &gt; &amp;m0, const Eigen::Matrix&lt; T_C0, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;C0)</td></tr>
+<tr class="memdesc:a439b46e03e6dbd7269b60989cf31de85"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of a Gaussian dynamic linear model (GDLM).  <a href="namespacestan_1_1math.html#a439b46e03e6dbd7269b60989cf31de85">More...</a><br /></td></tr>
+<tr class="separator:a439b46e03e6dbd7269b60989cf31de85"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad7da6e923e5a19bed55c94a109d2e4cd"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_F , typename T_G , typename T_V , typename T_W , typename T_m0 , typename T_C0 &gt; </td></tr>
+<tr class="memitem:ad7da6e923e5a19bed55c94a109d2e4cd"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, typename return_type&lt; T_F, T_G, T_V, T_W, T_m0, T_C0 &gt;::type &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad7da6e923e5a19bed55c94a109d2e4cd">stan::math::gaussian_dlm_obs_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const Eigen::Matrix&lt; T_F, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;F, const Eigen::Matrix&lt; T_G, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;G, const Eigen::Matrix&lt; T_V, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;V, const Eigen::Matrix&lt; T_W, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;W, const Eigen::Matrix&lt; T_m0, Eigen::Dynamic, 1 &gt; &amp;m0, const Eigen::Matrix&lt; T_C0, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;C0)</td></tr>
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+<tr class="memitem:a9a72bf8a0cfb7fd70089f9fb7fb5ce9a"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_F , typename T_G , typename T_V , typename T_W , typename T_m0 , typename T_C0 &gt; </td></tr>
+<tr class="memitem:a9a72bf8a0cfb7fd70089f9fb7fb5ce9a"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, typename return_type&lt; T_F, T_G, T_V, T_W, T_m0, T_C0 &gt;::type &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9a72bf8a0cfb7fd70089f9fb7fb5ce9a">stan::math::gaussian_dlm_obs_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const Eigen::Matrix&lt; T_F, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;F, const Eigen::Matrix&lt; T_G, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;G, const Eigen::Matrix&lt; T_V, Eigen::Dynamic, 1 &gt; &amp;V, const Eigen::Matrix&lt; T_W, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;W, const Eigen::Matrix&lt; T_m0, Eigen::Dynamic, 1 &gt; &amp;m0, const Eigen::Matrix&lt; T_C0, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;C0)</td></tr>
+<tr class="memdesc:a9a72bf8a0cfb7fd70089f9fb7fb5ce9a"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of a Gaussian dynamic linear model (GDLM) with uncorrelated observation disturbances.  <a href="namespacestan_1_1math.html#a9a72bf8a0cfb7fd70089f9fb7fb5ce9a">More...</a><br /></td></tr>
+<tr class="separator:a9a72bf8a0cfb7fd70089f9fb7fb5ce9a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a99ad1baa9f1a423304ac19aa0e345075"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_F , typename T_G , typename T_V , typename T_W , typename T_m0 , typename T_C0 &gt; </td></tr>
+<tr class="memitem:a99ad1baa9f1a423304ac19aa0e345075"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, typename return_type&lt; T_F, T_G, T_V, T_W, T_m0, T_C0 &gt;::type &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a99ad1baa9f1a423304ac19aa0e345075">stan::math::gaussian_dlm_obs_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const Eigen::Matrix&lt; T_F, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;F, const Eigen::Matrix&lt; T_G, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;G, const Eigen::Matrix&lt; T_V, Eigen::Dynamic, 1 &gt; &amp;V, const Eigen::Matrix&lt; T_W, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;W, const Eigen::Matrix&lt; T_m0, Eigen::Dynamic, 1 &gt; &amp;m0, const Eigen::Matrix&lt; T_C0, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;C0)</td></tr>
+<tr class="separator:a99ad1baa9f1a423304ac19aa0e345075"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">gaussian_dlm_obs_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="gaussian__dlm__obs__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_GAUSSIAN_DLM_OBS_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_GAUSSIAN_DLM_OBS_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__cov__matrix_8hpp.html">stan/math/prim/mat/err/check_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__spsd__matrix_8hpp.html">stan/math/prim/mat/err/check_spsd_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="add_8hpp.html">stan/math/prim/mat/fun/add.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inverse__spd_8hpp.html">stan/math/prim/mat/fun/inverse_spd.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log_8hpp.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant__spd_8hpp.html">stan/math/prim/mat/fun/log_determinant_spd.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2quad__form_8hpp.html">stan/math/prim/mat/fun/quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2quad__form__sym_8hpp.html">stan/math/prim/mat/fun/quad_form_sym.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="subtract_8hpp.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2tcrossprod_8hpp.html">stan/math/prim/mat/fun/tcrossprod.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2trace__quad__form_8hpp.html">stan/math/prim/mat/fun/trace_quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="transpose_8hpp.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="comment">/*</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="comment">  TODO: time-varying system matrices</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment">  TODO: use sequential processing even for non-diagonal obs</span></div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment">  TODO: add constant terms in observation.</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment">*/</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      T_y,</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">typename</span> return_type&lt;T_F, T_G, T_V, T_W, T_m0, T_C0&gt;::type &gt;::type</div>
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+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                         &lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y,</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                         &lt;T_F, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; F,</div>
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+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                         &lt;T_G, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; G,</div>
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+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                         &lt;T_W, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; W,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;T_m0, Eigen::Dynamic, 1&gt;&amp; m0,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix</div>
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+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::gaussian_dlm_obs_log&quot;</span>);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html">return_type</a>&lt;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        T_y,</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_F, T_G, T_V, T_W, T_m0, T_C0&gt;::type</a>&gt;::type T_lp;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      T_lp lp(0.0);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab7092cc09ee412719d685be41a04982a">stan::math::add</a>;</div>
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+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7f80d208c430ed463474147d0e3ec3ce">stan::math::check_spsd_matrix</a>;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69d2c003918b45e95edb84ea58b84c68">stan::math::inverse_spd</a>;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ae9a296d4414d0193108c70b350a05cfc">stan::math::log_determinant_spd</a>;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a>;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0e66b8fc7268b26c1f479d762b01f386">stan::math::quad_form_sym</a>;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a38ba678d90cda4868c14d6d6bc6b509d">stan::math::subtract</a>;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3e0c22a58b3d6fe9d4d6e0131ca791a6">stan::math::trace_quad_form</a>;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">stan::math::transpose</a>;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <span class="keywordtype">int</span> r = y.rows();  <span class="comment">// number of variables</span></div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="keywordtype">int</span> T = y.cols();  <span class="comment">// number of observations</span></div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <span class="keywordtype">int</span> n = G.rows();  <span class="comment">// number of states</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      <span class="comment">// check y</span></div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;y&quot;</span>, y);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;y&quot;</span>, y);</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="comment">// check F</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                       <span class="stringliteral">&quot;columns of F&quot;</span>, F.cols(),</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                       <span class="stringliteral">&quot;rows of y&quot;</span>, y.rows());</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;                       <span class="stringliteral">&quot;rows of F&quot;</span>, F.rows(),</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                       <span class="stringliteral">&quot;rows of G&quot;</span>, G.rows());</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;F&quot;</span>, F);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      <span class="comment">// check G</span></div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">check_square</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;G&quot;</span>, G);</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;G&quot;</span>, G);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <span class="comment">// check V</span></div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                       <span class="stringliteral">&quot;rows of V&quot;</span>, V.rows(),</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                       <span class="stringliteral">&quot;rows of y&quot;</span>, y.rows());</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;      <span class="comment">// TODO(anyone): incorporate support for infinite V</span></div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;V&quot;</span>, V);</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7f80d208c430ed463474147d0e3ec3ce">check_spsd_matrix</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;V&quot;</span>, V);</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;      <span class="comment">// check W</span></div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;                       <span class="stringliteral">&quot;rows of W&quot;</span>, W.rows(),</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;                       <span class="stringliteral">&quot;rows of G&quot;</span>, G.rows());</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      <span class="comment">// TODO(anyone): incorporate support for infinite W</span></div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;W&quot;</span>, W);</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7f80d208c430ed463474147d0e3ec3ce">check_spsd_matrix</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;W&quot;</span>, W);</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      <span class="comment">// check m0</span></div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;                       <span class="stringliteral">&quot;size of m0&quot;</span>, m0.size(),</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;                       <span class="stringliteral">&quot;rows of G&quot;</span>, G.rows());</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;m0&quot;</span>, m0);</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;      <span class="comment">// check C0</span></div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;                       <span class="stringliteral">&quot;rows of C0&quot;</span>, C0.rows(),</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;                       <span class="stringliteral">&quot;rows of G&quot;</span>, G.rows());</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a6e298b7563329829cb79930a121223b1">check_cov_matrix</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;C0&quot;</span>, C0);</div>
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+<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;                         &lt;T_F, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; F,</div>
+<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix</div>
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+<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab379e9a9f74dab16c41d82978cc4b58e">stan::math::tcrossprod</a>;</div>
+<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3e0c22a58b3d6fe9d4d6e0131ca791a6">stan::math::trace_quad_form</a>;</div>
+<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">stan::math::transpose</a>;</div>
+<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
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+<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;                       <span class="stringliteral">&quot;rows of y&quot;</span>, y.rows());</div>
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+<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;                       <span class="stringliteral">&quot;columns of G&quot;</span>, G.cols());</div>
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+<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;V&quot;</span>, V);</div>
+<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;      <span class="comment">// check W</span></div>
+<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7f80d208c430ed463474147d0e3ec3ce">check_spsd_matrix</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;W&quot;</span>, W);</div>
+<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;                       <span class="stringliteral">&quot;rows of W&quot;</span>, W.rows(),</div>
+<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;                       <span class="stringliteral">&quot;rows of G&quot;</span>, G.rows());</div>
+<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;      <span class="comment">// TODO(anyone): support infinite W</span></div>
+<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;W&quot;</span>, W);</div>
+<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;W&quot;</span>, W);</div>
+<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160;      <span class="comment">// check m0</span></div>
+<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;                       <span class="stringliteral">&quot;size of m0&quot;</span>, m0.size(),</div>
+<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;                       <span class="stringliteral">&quot;rows of G&quot;</span>, G.rows());</div>
+<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;m0&quot;</span>, m0);</div>
+<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;m0&quot;</span>, m0);</div>
+<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;      <span class="comment">// check C0</span></div>
+<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a6e298b7563329829cb79930a121223b1">check_cov_matrix</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;C0&quot;</span>, C0);</div>
+<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;                       <span class="stringliteral">&quot;rows of C0&quot;</span>, C0.rows(),</div>
+<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;                       <span class="stringliteral">&quot;rows of G&quot;</span>, G.rows());</div>
+<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;C0&quot;</span>, C0);</div>
+<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;C0&quot;</span>, C0);</div>
+<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;</div>
+<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;      <span class="keywordflow">if</span> (y.cols() == 0 || y.rows() == 0)</div>
+<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;</div>
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+<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;        lp += 0.5 * <a class="code" href="namespacestan_1_1math.html#a2fc867325cdad6b9dcc2e7443ddf5956">NEG_LOG_TWO_PI</a> * r * T;</div>
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+<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;</div>
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+<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;        T_lp Q;</div>
+<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;        T_lp Q_inv;</div>
+<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;        T_lp <a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>;</div>
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+<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;        Eigen::Matrix&lt;T_lp, Eigen::Dynamic, 1&gt; Fj(n);</div>
+<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;        Eigen::Matrix&lt;T_lp, Eigen::Dynamic, 1&gt; m(n);</div>
+<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;        Eigen::Matrix&lt;T_lp, Eigen::Dynamic, Eigen::Dynamic&gt; C(n, n);</div>
+<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;</div>
+<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160;        <span class="comment">// TODO(anyone): how to recast matrices</span></div>
+<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; m0.size(); i++) {</div>
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+<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;        }</div>
+<div class="line"><a name="l00393"></a><span class="lineno">  393</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; C0.rows(); i++) {</div>
+<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; C0.cols(); j++) {</div>
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+<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;          }</div>
+<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;        }</div>
+<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;</div>
+<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; y.cols(); i++) {</div>
+<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;          <span class="comment">// Predict state</span></div>
+<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;          <span class="comment">// reuse m and C instead of using a and R</span></div>
+<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;          m = <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">multiply</a>(G, m);</div>
+<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;          C = <a class="code" href="namespacestan_1_1math.html#ab7092cc09ee412719d685be41a04982a">add</a>(<a class="code" href="namespacestan_1_1math.html#a0e66b8fc7268b26c1f479d762b01f386">quad_form_sym</a>(C, <a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>(G)), W);</div>
+<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; y.rows(); ++j) {</div>
+<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;            <span class="comment">// predict observation</span></div>
+<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;            T_lp yij(y(j, i));</div>
+<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;            <span class="comment">// dim Fj = (n, 1)</span></div>
+<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; F.rows(); ++k) {</div>
+<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;              Fj(k) = F(k, j);</div>
+<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;            }</div>
+<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;            <span class="comment">// // f_{t, i} = F_{t, i}&#39; m_{t, i-1}</span></div>
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+<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;            Q = <a class="code" href="namespacestan_1_1math.html#a3e0c22a58b3d6fe9d4d6e0131ca791a6">trace_quad_form</a>(C, Fj) + V(j);</div>
+<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;            Q_inv = 1.0 / Q;</div>
+<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;            <span class="comment">// // filtered observation</span></div>
+<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;            <span class="comment">// // e_{t, i} = y_{t, i} - f_{t, i}</span></div>
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+<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;            <span class="comment">// // A_{t, i} = C_{t, i-1} F_{t, i} Q_{t, i}^{-1}</span></div>
+<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;            A = <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">multiply</a>(<a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">multiply</a>(C, Fj), Q_inv);</div>
+<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;            <span class="comment">// // m_{t, i} = m_{t, i-1} + A_{t, i} e_{t, i}</span></div>
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+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2tcrossprod_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2tcrossprod_8hpp.html">tcrossprod.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2log__determinant__spd_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__determinant__spd_8hpp.html">log_determinant_spd.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3e0c22a58b3d6fe9d4d6e0131ca791a6"><div class="ttname"><a href="namespacestan_1_1math.html#a3e0c22a58b3d6fe9d4d6e0131ca791a6">stan::math::trace_quad_form</a></div><div class="ttdeci">fvar&lt; T &gt; trace_quad_form(const Eigen::Matrix&lt; fvar&lt; T &gt;, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, RB, CB &gt; &amp;B)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2trace__quad__form_8hpp_source.html#l00018">trace_quad_form.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a495321127b7e0ebdd4d52654d226e16b"><div class="ttname"><a href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">stan::math::dot_product</a></div><div class="ttdeci">fvar&lt; T &gt; dot_product(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;v2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00020">dot_product.hpp:20</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="check__range_8hpp_source.html">stan/math/prim/mat/err/check_range.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="separator:ab0dbeed50ff3f8630ea3cd54f9ecb804"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">get_base1.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="get__base1_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_GET_BASE1_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_GET_BASE1_HPP</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7535c86e2c9ee9d5391a8cc63187317e"><div class="ttname"><a href="namespacestan_1_1math.html#a7535c86e2c9ee9d5391a8cc63187317e">stan::math::get_base1</a></div><div class="ttdeci">const T &amp; get_base1(const std::vector&lt; T &gt; &amp;x, size_t i, const char *error_msg, size_t idx)</div><div class="ttdoc">Return a reference to the value of the specified vector at the specified base-one index...</div><div class="ttdef"><b>Definition:</b> <a href="get__base1_8hpp_source.html#l00027">get_base1.hpp:27</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="check__range_8hpp_html"><div class="ttname"><a href="check__range_8hpp.html">check_range.hpp</a></div></div>
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+<div class="title">get_base1_lhs.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__range_8hpp_source.html">stan/math/prim/mat/err/check_range.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="get__base1__lhs_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac54b1427fd9d0765f0200dc9caa830f9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ac54b1427fd9d0765f0200dc9caa830f9"><td class="memTemplItemLeft" align="right" valign="top">T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac54b1427fd9d0765f0200dc9caa830f9">stan::math::get_base1_lhs</a> (std::vector&lt; T &gt; &amp;x, size_t i, const char *error_msg, size_t idx)</td></tr>
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+<tr class="separator:ac54b1427fd9d0765f0200dc9caa830f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a6133d90708e16760b6394c6ca6a305ff"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a6133d90708e16760b6394c6ca6a305ff"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified row vector at the specified base-one index.  <a href="namespacestan_1_1math.html#a6133d90708e16760b6394c6ca6a305ff">More...</a><br /></td></tr>
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+<div class="title">get_base1_lhs.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="get__base1__lhs_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_GET_BASE1_LHS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_GET_BASE1_LHS_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="title">get_lp.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="accumulator_8hpp_source.html">stan/math/prim/mat/fun/accumulator.hpp</a>&gt;</code><br />
+</div>
+<p><a href="get__lp_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac0fd1b6e6ba9738332204bae823dc006"><td class="memTemplParams" colspan="2">template&lt;typename T_lp , typename T_lp_accum &gt; </td></tr>
+<tr class="memitem:ac0fd1b6e6ba9738332204bae823dc006"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_lp, T_lp_accum &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac0fd1b6e6ba9738332204bae823dc006">stan::math::get_lp</a> (const T_lp &amp;lp, const <a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator</a>&lt; T_lp_accum &gt; &amp;lp_accum)</td></tr>
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+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  }</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;}</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="classstan_1_1math_1_1accumulator_html_ad24d63f81d6c3028abc73e102c60edf8"><div class="ttname"><a href="classstan_1_1math_1_1accumulator.html#ad24d63f81d6c3028abc73e102c60edf8">stan::math::accumulator::sum</a></div><div class="ttdeci">T sum() const </div><div class="ttdoc">Return the sum of the accumulated values. </div><div class="ttdef"><b>Definition:</b> <a href="accumulator_8hpp_source.html#l00113">accumulator.hpp:113</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="accumulator_8hpp_html"><div class="ttname"><a href="accumulator_8hpp.html">accumulator.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1accumulator_html"><div class="ttname"><a href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator</a></div><div class="ttdoc">Class to accumulate values and eventually return their sum. </div><div class="ttdef"><b>Definition:</b> <a href="accumulator_8hpp_source.html#l00025">accumulator.hpp:25</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="vari_8hpp_source.html">stan/math/rev/core/vari.hpp</a>&gt;</code><br />
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+<a href="gevv__vvv__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_GEVV_VVV_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_GEVV_VVV_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="var_8hpp.html">stan/math/rev/core/var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chainablestack_8hpp.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1gevv__vvv__vari.html">   11</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1gevv__vvv__vari.html">gevv_vvv_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">stan::math::vari</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">protected</span>:</div>
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+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1gevv__vvv__vari.html#a9baad1e3c1fe91eabc1cdb68982426df">   18</a></span>&#160;      <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code" href="classstan_1_1math_1_1gevv__vvv__vari.html#a9baad1e3c1fe91eabc1cdb68982426df">eval_gevv</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>* alpha,</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <span class="keywordtype">double</span> result = 0;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>; i++)</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        *dotprod = result;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        <span class="keywordflow">return</span> alpha-&gt;vi_-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a> * result;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      }</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
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+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1gevv__vvv__vari.html#af573bcde4dada4aa9bc27fd9dfcff9c9">   30</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1gevv__vvv__vari.html#af573bcde4dada4aa9bc27fd9dfcff9c9">gevv_vvv_vari</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>* alpha,</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                    <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>* v2, <span class="keywordtype">int</span> stride2, <span class="keywordtype">size_t</span> <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>) :</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>(<a class="code" href="classstan_1_1math_1_1gevv__vvv__vari.html#a9baad1e3c1fe91eabc1cdb68982426df">eval_gevv</a>(alpha, v1, stride1, v2, stride2, length, &amp;dotval_)),</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        length_(length) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        alpha_ = alpha-&gt;vi_;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="comment">// TODO(carpenter): replace this with array alloc fun call</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        v1_ = <span class="keyword">reinterpret_cast&lt;</span><a class="code" href="classstan_1_1math_1_1vari.html">stan::math::vari</a>**<span class="keyword">&gt;</span></div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;           .<a class="code" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">alloc</a>(2 * length_ * <span class="keyword">sizeof</span>(<a class="code" href="classstan_1_1math_1_1vari.html">stan::math::vari</a>*)));</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="classstan_1_1math_1_1gevv__vvv__vari.html#a3162ad4ae0b41adf5d342af16e51bad2">length_</a>; i++)</div>
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+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    };</div>
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+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1gevv__vvv__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="gevv__vvv__vari_8hpp_source.html#l00011">gevv_vvv_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1gevv__vvv__vari_html_a8c77333a2a3a85359e417d33291a8b19"><div class="ttname"><a href="classstan_1_1math_1_1gevv__vvv__vari.html#a8c77333a2a3a85359e417d33291a8b19">stan::math::gevv_vvv_vari::alpha_</a></div><div class="ttdeci">stan::math::vari * alpha_</div><div class="ttdef"><b>Definition:</b> <a href="gevv__vvv__vari_8hpp_source.html#l00013">gevv_vvv_vari.hpp:13</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1gevv__vvv__vari_html_a674d2c68ca4a0bfce7d38c644e430d7a"><div class="ttname"><a href="classstan_1_1math_1_1gevv__vvv__vari.html#a674d2c68ca4a0bfce7d38c644e430d7a">stan::math::gevv_vvv_vari::dotval_</a></div><div class="ttdeci">double dotval_</div><div class="ttdef"><b>Definition:</b> <a href="gevv__vvv__vari_8hpp_source.html#l00016">gevv_vvv_vari.hpp:16</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1gevv__vvv__vari_html_a1b8223780565cab9a3d95dd0bb199b90"><div class="ttname"><a href="classstan_1_1math_1_1gevv__vvv__vari.html#a1b8223780565cab9a3d95dd0bb199b90">stan::math::gevv_vvv_vari::v1_</a></div><div class="ttdeci">stan::math::vari ** v1_</div><div class="ttdef"><b>Definition:</b> <a href="gevv__vvv__vari_8hpp_source.html#l00014">gevv_vvv_vari.hpp:14</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1gevv__vvv__vari_html_af573bcde4dada4aa9bc27fd9dfcff9c9"><div class="ttname"><a href="classstan_1_1math_1_1gevv__vvv__vari.html#af573bcde4dada4aa9bc27fd9dfcff9c9">stan::math::gevv_vvv_vari::gevv_vvv_vari</a></div><div class="ttdeci">gevv_vvv_vari(const stan::math::var *alpha, const stan::math::var *v1, int stride1, const stan::math::var *v2, int stride2, size_t length)</div><div class="ttdef"><b>Definition:</b> <a href="gevv__vvv__vari_8hpp_source.html#l00030">gevv_vvv_vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1gevv__vvv__vari_html_a3cfca671d85ffed899debb9730235dbd"><div class="ttname"><a href="classstan_1_1math_1_1gevv__vvv__vari.html#a3cfca671d85ffed899debb9730235dbd">stan::math::gevv_vvv_vari::v2_</a></div><div class="ttdeci">stan::math::vari ** v2_</div><div class="ttdef"><b>Definition:</b> <a href="gevv__vvv__vari_8hpp_source.html#l00015">gevv_vvv_vari.hpp:15</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1gevv__vvv__vari_html_a3162ad4ae0b41adf5d342af16e51bad2"><div class="ttname"><a href="classstan_1_1math_1_1gevv__vvv__vari.html#a3162ad4ae0b41adf5d342af16e51bad2">stan::math::gevv_vvv_vari::length_</a></div><div class="ttdeci">size_t length_</div><div class="ttdef"><b>Definition:</b> <a href="gevv__vvv__vari_8hpp_source.html#l00017">gevv_vvv_vari.hpp:17</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html_a53f635dd2454bc46335f3ad5bd172623"><div class="ttname"><a href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">stan::math::vari::adj_</a></div><div class="ttdeci">double adj_</div><div class="ttdoc">The adjoint of this variable, which is the partial derivative of this variable with respect to the ro...</div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00044">vari.hpp:44</a></div></div>
+<div class="ttc" id="chainablestack_8hpp_html"><div class="ttname"><a href="chainablestack_8hpp.html">chainablestack.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1stack__alloc_html_af867f7a48394cc0422a58f0253cb6c96"><div class="ttname"><a href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">stan::math::stack_alloc::alloc</a></div><div class="ttdeci">void * alloc(size_t len)</div><div class="ttdoc">Return a newly allocated block of memory of the appropriate size managed by the stack allocator...</div><div class="ttdef"><b>Definition:</b> <a href="stack__alloc_8hpp_source.html#l00166">stack_alloc.hpp:166</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1gevv__vvv__vari_html_aa0e048f3021fa5bd5b4e20152ab0c77d"><div class="ttname"><a href="classstan_1_1math_1_1gevv__vvv__vari.html#aa0e048f3021fa5bd5b4e20152ab0c77d">stan::math::gevv_vvv_vari::chain</a></div><div class="ttdeci">void chain()</div><div class="ttdoc">Apply the chain rule to this variable based on the variables on which it depends. ...</div><div class="ttdef"><b>Definition:</b> <a href="gevv__vvv__vari_8hpp_source.html#l00047">gevv_vvv_vari.hpp:47</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+ </tbody>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="files.html"><span>File&#160;List</span></a></li>
+      <li class="current"><a href="globals.html"><span>File&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="globals.html"><span>All</span></a></li>
+      <li><a href="globals_vars.html"><span>Variables</span></a></li>
+      <li><a href="globals_defs.html"><span>Macros</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="#index__"><span>_</span></a></li>
+      <li><a href="#index_a"><span>a</span></a></li>
+      <li><a href="#index_b"><span>b</span></a></li>
+      <li><a href="#index_c"><span>c</span></a></li>
+      <li><a href="#index_d"><span>d</span></a></li>
+      <li><a href="#index_e"><span>e</span></a></li>
+      <li><a href="#index_i"><span>i</span></a></li>
+      <li><a href="#index_l"><span>l</span></a></li>
+      <li><a href="#index_m"><span>m</span></a></li>
+      <li><a href="#index_n"><span>n</span></a></li>
+      <li><a href="#index_o"><span>o</span></a></li>
+      <li><a href="#index_p"><span>p</span></a></li>
+      <li><a href="#index_s"><span>s</span></a></li>
+      <li><a href="#index_u"><span>u</span></a></li>
+      <li><a href="#index_v"><span>v</span></a></li>
+      <li><a href="#index_x"><span>x</span></a></li>
+      <li class="current"><a href="#index_y"><span>y</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all file members with links to the files they belong to:</div>
+
+<h3><a class="anchor" id="index__"></a>- _ -</h3><ul>
+<li>_adjARef
+: <a class="el" href="rev_2mat_2fun_2determinant_8hpp.html#ac289fdc094f4376437157416320ac3bd">determinant.hpp</a>
+</li>
+<li>_alloc
+: <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6333f1364c14f8f834a56541108a543d">mdivide_left_ldlt.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#a34c6b6db468ba7b80a549359c6ec304e">mdivide_left_spd.hpp</a>
+</li>
+<li>_alloc_ldlt
+: <a class="el" href="rev_2mat_2fun_2log__determinant__ldlt_8hpp.html#a09778e4b593c6f100918974eab7ed098">log_determinant_ldlt.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6dcfe87b81ca8eb9dc23b285f6858057">mdivide_left_ldlt.hpp</a>
+</li>
+<li>_cols
+: <a class="el" href="rev_2mat_2fun_2determinant_8hpp.html#a9c07cb6acc3ea9dc957ef6874d075e7b">determinant.hpp</a>
+</li>
+<li>_impl
+: <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp.html#a3101c2c46494cfe7908f939310755c0e">trace_gen_quad_form.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#aacc32115df9c5f164e15a80a4615d7c0">trace_inv_quad_form_ldlt.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#aa215d337b6b5f4499fbafce1d71d924e">trace_quad_form.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2quad__form_8hpp.html#a71e132b29586164e054f9efe99b79a06">quad_form.hpp</a>
+</li>
+<li>_ldlt
+: <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#a54837fb3ae10bc0f12a3e8c2fea11e7d">trace_inv_quad_form_ldlt.hpp</a>
+</li>
+<li>_ldltP
+: <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a45a78506bb83f07720da6b8430e8cad7">mdivide_left_ldlt.hpp</a>
+</li>
+<li>_llt
+: <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#a597a07f209a18eb6dc1142bec2dfd08e">mdivide_left_spd.hpp</a>
+</li>
+<li>_rows
+: <a class="el" href="rev_2mat_2fun_2determinant_8hpp.html#a3e8959363f536b448785cdfdb1dd461a">determinant.hpp</a>
+</li>
+<li>_sym
+: <a class="el" href="rev_2mat_2fun_2quad__form_8hpp.html#a0f0c3a82aa9cb1ecd7d97fce67fea63d">quad_form.hpp</a>
+</li>
+<li>_value
+: <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#a3e78e92b9e102f837e1433ff78edd53c">trace_inv_quad_form_ldlt.hpp</a>
+</li>
+<li>_variB
+: <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#a51e67c28b21506ae447ee657cd885d90">trace_inv_quad_form_ldlt.hpp</a>
+</li>
+<li>_variD
+: <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#afeee220f8848a02798328ad98cde229f">trace_inv_quad_form_ldlt.hpp</a>
+</li>
+<li>_variRefA
+: <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#aea7df605462946b48f6c8200fe67a467">mdivide_left_tri.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp.html#aea7df605462946b48f6c8200fe67a467">mdivide_left.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#aea7df605462946b48f6c8200fe67a467">mdivide_left_spd.hpp</a>
+</li>
+<li>_variRefB
+: <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#aa2a293603982ac5da732ef1c85aabcd4">mdivide_left_ldlt.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp.html#aa2a293603982ac5da732ef1c85aabcd4">mdivide_left.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#aa2a293603982ac5da732ef1c85aabcd4">mdivide_left_tri.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#aa2a293603982ac5da732ef1c85aabcd4">mdivide_left_spd.hpp</a>
+</li>
+<li>_variRefC
+: <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">mdivide_left.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">mdivide_left_tri.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">mdivide_left_ldlt.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">mdivide_left_spd.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
+<li>A_
+: <a class="el" href="rev_2mat_2fun_2determinant_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">determinant.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">mdivide_left.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2quad__form_8hpp.html#ad6f8769405cee83dff888bcf5d096810">quad_form.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp.html#ad6f8769405cee83dff888bcf5d096810">trace_gen_quad_form.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#ad6f8769405cee83dff888bcf5d096810">trace_quad_form.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">mdivide_left_tri.hpp</a>
+</li>
+<li>AinvB_
+: <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#ad754f26cc75952ba2508669360793d30">trace_inv_quad_form_ldlt.hpp</a>
+</li>
+<li>alpha_
+: <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp.html#acd28daa1fad3aaa17c91e2ca90526175">log_softmax.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2softmax_8hpp.html#acd28daa1fad3aaa17c91e2ca90526175">softmax.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
+<li>B_
+: <a class="el" href="rev_2mat_2fun_2quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">quad_form.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">trace_quad_form.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">trace_gen_quad_form.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
+<li>C_
+: <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a03e9f8989e0f5a0117b426e2b204933a">mdivide_left.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#ae7e589df75920eb51a2317e6a38db106">trace_inv_quad_form_ldlt.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2quad__form_8hpp.html#a2d9d9bf5df5103a65354498227122b4a">quad_form.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#a03e9f8989e0f5a0117b426e2b204933a">mdivide_left_tri.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#a43b33b1b4279ce27f514eaed1daece58">mdivide_left_spd.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a43b33b1b4279ce27f514eaed1daece58">mdivide_left_ldlt.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
+<li>D_
+: <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp.html#a03ff78e0a9fe71f688e2e446a4852786">trace_gen_quad_form.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#a6360b469a2b983248c4871e3fa37ca26">trace_inv_quad_form_ldlt.hpp</a>
+</li>
+<li>Dtype_
+: <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#a7c830ea3da654e2c30a3e8d4c41610e8">trace_inv_quad_form_ldlt.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_e"></a>- e -</h3><ul>
+<li>exp_val_
+: <a class="el" href="rev_2scal_2fun_2log10_8hpp.html#ad5fa8da685c6b471f471d6ed4fc99ebd">log10.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>idx_
+: <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp.html#a48e1ddf96b6a9b19ecead9aca544bb31">log_softmax.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp.html#a48e1ddf96b6a9b19ecead9aca544bb31">unit_vector_constrain.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2softmax_8hpp.html#a48e1ddf96b6a9b19ecead9aca544bb31">softmax.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
+<li>length_
+: <a class="el" href="rev_2mat_2fun_2dot__product_8hpp.html#af0c9b7dcc98dce1d0edf7cb6ce49103b">dot_product.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp.html#af0c9b7dcc98dce1d0edf7cb6ce49103b">squared_distance.hpp</a>
+</li>
+<li>likely
+: <a class="el" href="likely_8hpp.html#a8f6ab779c863595b1d7bcce5489cd104">likely.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>M_
+: <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">mdivide_left.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ac7022caeebffc39337bdfd893db75983">mdivide_left_tri.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#ac7022caeebffc39337bdfd893db75983">mdivide_left_spd.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#ac7022caeebffc39337bdfd893db75983">mdivide_left_ldlt.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>N_
+: <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">mdivide_left.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a733553beee6dadc63ea8c537055a9e04">mdivide_left_ldlt.hpp</a>
+, <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#a8d3a73d7bcecbfb9b442f3699c50daf2">OperandsAndPartials.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#a733553beee6dadc63ea8c537055a9e04">mdivide_left_tri.hpp</a>
+, <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#a733553beee6dadc63ea8c537055a9e04">mdivide_left_spd.hpp</a>
+</li>
+<li>norm_
+: <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp.html#a2cd1ec1993f76e8226f2252946cb9fd7">unit_vector_constrain.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_o"></a>- o -</h3><ul>
+<li>operands_
+: <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#ae4ced7ae97dc6856f83a87c30ceb5a9d">OperandsAndPartials.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>partials_
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+: <a class="el" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">likely.hpp</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>v1_
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+<li>xs_
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+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_y"></a>- y -</h3><ul>
+<li>y_
+: <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp.html#abed49d00ff5a41185bf8170a0742c60c">unit_vector_constrain.hpp</a>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
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+<li>xs_
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+<li>y_
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+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
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+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_d0eeba40b2c7a8671625898b9437b305.html">fun</a></li>  </ul>
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+<div class="title">grad_2F1.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="grad__2_f1_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a43226a00b6c2d3f3a2ab5906490f3136"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a43226a00b6c2d3f3a2ab5906490f3136"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<a href="grad__2_f1_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_GRAD_2F1_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_GRAD_2F1_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="comment">// Gradient of the hypergeometric function 2F1(a, b | c | z)</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="comment">// with respect to a and c</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a43226a00b6c2d3f3a2ab5906490f3136">   13</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#a43226a00b6c2d3f3a2ab5906490f3136">grad_2F1</a>(T&amp; gradA, T&amp; gradC, T a, T b, T c, T z, T precision = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-6) {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">std::fabs</a>;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      gradA = 0;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      gradC = 0;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      T gradAold = 0;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      T gradCold = 0;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;          <span class="keyword">const</span> T r = ( (a + k) / (c + k) ) * ( (b + k) / (T)(k + 1) ) * z;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;          tDak = r * tDak * (a + (k - 1)) / (a + k);</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;          <span class="keywordflow">if</span> (r == 0) <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;          gradAold = r * gradAold + tDak;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;          gradCold = r * gradCold - tDak * ((a + k) / (c + k));</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;          gradA += gradAold;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;          gradC += gradCold;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;          ++k;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;          <span class="keywordflow">if</span> (k &gt; 200) <span class="keywordflow">break</span>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  }</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;}</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6c79c9be5c64873b74f3c6924fef6911"><div class="ttname"><a href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">stan::math::fabs</a></div><div class="ttdeci">fvar&lt; T &gt; fabs(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fabs_8hpp_source.html#l00014">fabs.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a43226a00b6c2d3f3a2ab5906490f3136"><div class="ttname"><a href="namespacestan_1_1math.html#a43226a00b6c2d3f3a2ab5906490f3136">stan::math::grad_2F1</a></div><div class="ttdeci">void grad_2F1(T &amp;gradA, T &amp;gradC, T a, T b, T c, T z, T precision=1e-6)</div><div class="ttdef"><b>Definition:</b> <a href="grad__2_f1_8hpp_source.html#l00013">grad_2F1.hpp:13</a></div></div>
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+<div class="title">grad_F32.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="grad___f32_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a02dd0b6c85425c2005e265d8e66852a8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a02dd0b6c85425c2005e265d8e66852a8"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a02dd0b6c85425c2005e265d8e66852a8">stan::math::grad_F32</a> (T *g, T a, T b, T c, T d, T e, T z, T precision=1e-6)</td></tr>
+<tr class="separator:a02dd0b6c85425c2005e265d8e66852a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="grad___f32_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_GRAD_F32_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_GRAD_F32_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a02dd0b6c85425c2005e265d8e66852a8">   11</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#a02dd0b6c85425c2005e265d8e66852a8">grad_F32</a>(T* g, T a, T b, T c, T d, T <a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>, T z, T precision = 1e-6) {</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a02dd0b6c85425c2005e265d8e66852a8"><div class="ttname"><a href="namespacestan_1_1math.html#a02dd0b6c85425c2005e265d8e66852a8">stan::math::grad_F32</a></div><div class="ttdeci">void grad_F32(T *g, T a, T b, T c, T d, T e, T z, T precision=1e-6)</div><div class="ttdef"><b>Definition:</b> <a href="grad___f32_8hpp_source.html#l00011">grad_F32.hpp:11</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="grad__hessian_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a367affe85da63060b14ae8bc988f0df6"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:a367affe85da63060b14ae8bc988f0df6"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a367affe85da63060b14ae8bc988f0df6">stan::math::grad_hessian</a> (const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;H, std::vector&lt; Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; &amp;grad_H)</td></tr>
+<tr class="memdesc:a367affe85da63060b14ae8bc988f0df6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the value, the Hessian, and the gradient of the Hessian of the specified function at the specified argument.  <a href="namespacestan_1_1math.html#a367affe85da63060b14ae8bc988f0df6">More...</a><br /></td></tr>
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+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+<div class="title">grad_hessian.hpp</div>  </div>
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+<div class="contents">
+<a href="grad__hessian_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_MIX_MAT_FUNCTOR_GRAD_HESSIAN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_MIX_MAT_FUNCTOR_GRAD_HESSIAN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keywordtype">void</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a367affe85da63060b14ae8bc988f0df6">   45</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a367affe85da63060b14ae8bc988f0df6">grad_hessian</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                 <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                 <span class="keywordtype">double</span>&amp; fx,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                 Eigen::Matrix&lt;double, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; H,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                 std::vector&lt;Eigen::Matrix&lt;<span class="keywordtype">double</span>,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                   Eigen::Dynamic, Eigen::Dynamic&gt; &gt;&amp;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                 grad_H) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      fx = f(x);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordtype">int</span> d = x.size();</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      H.resize(d, d);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      grad_H.resize(d, Matrix&lt;double, Dynamic, Dynamic&gt;(d, d));</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordflow">try</span> {</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; d; ++i) {</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = i; j &lt; d; ++j) {</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            <a class="code" href="namespacestan_1_1math.html#ad4a72c89ed9143a7760cc3611e8a0df0">start_nested</a>();</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            Matrix&lt;fvar&lt;fvar&lt;var&gt; &gt;, Dynamic, 1&gt; x_ffvar(d);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; d; ++k)</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;              x_ffvar(k) = <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;fvar&lt;var&gt;</a> &gt;(<a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;var&gt;</a>(x(k), i == k),</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                                            <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;var&gt;</a>(j == k, 0));</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;            <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;fvar&lt;var&gt;</a> &gt; fx_ffvar = f(x_ffvar);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            H(i, j) = fx_ffvar.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>.d_.val();</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            H(j, i) = H(i, j);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;            <a class="code" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">stan::math::grad</a>(fx_ffvar.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>.d_.vi_);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; d; ++k) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;              grad_H[i](j, k) = x_ffvar(k).val_.val_.adj();</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;              grad_H[j](i, k) = grad_H[i](j, k);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;            }</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            <a class="code" href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">recover_memory_nested</a>();</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        }</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      } <span class="keywordflow">catch</span> (<span class="keyword">const</span> std::exception&amp; <a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>) {</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">stan::math::recover_memory_nested</a>();</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">throw</span>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      }</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  }  <span class="comment">// namespace math</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;}  <span class="comment">// namespace stan</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a20437f997cf28c6013d897f1d8099106"><div class="ttname"><a href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">stan::math::grad</a></div><div class="ttdeci">static void grad(vari *vi)</div><div class="ttdoc">Compute the gradient for all variables starting from the specified root variable implementation. </div><div class="ttdef"><b>Definition:</b> <a href="core_2grad_8hpp_source.html#l00030">grad.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a367affe85da63060b14ae8bc988f0df6"><div class="ttname"><a href="namespacestan_1_1math.html#a367affe85da63060b14ae8bc988f0df6">stan::math::grad_hessian</a></div><div class="ttdeci">void grad_hessian(const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;H, std::vector&lt; Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; &amp;grad_H)</div><div class="ttdoc">Calculate the value, the Hessian, and the gradient of the Hessian of the specified function at the sp...</div><div class="ttdef"><b>Definition:</b> <a href="grad__hessian_8hpp_source.html#l00045">grad_hessian.hpp:45</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8ebf2b2bc0f63dcb46a176b43e8b369a"><div class="ttname"><a href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">stan::math::recover_memory_nested</a></div><div class="ttdeci">static void recover_memory_nested()</div><div class="ttdoc">Recover only the memory used for the top nested call. </div><div class="ttdef"><b>Definition:</b> <a href="recover__memory__nested_8hpp_source.html#l00020">recover_memory_nested.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad4a72c89ed9143a7760cc3611e8a0df0"><div class="ttname"><a href="namespacestan_1_1math.html#ad4a72c89ed9143a7760cc3611e8a0df0">stan::math::start_nested</a></div><div class="ttdeci">static void start_nested()</div><div class="ttdoc">Record the current position so that recover_memory_nested() can find it. </div><div class="ttdef"><b>Definition:</b> <a href="start__nested_8hpp_source.html#l00013">start_nested.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2grad__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memitem:a11eeb59eb3ae4f0710a7e417478c1212"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a11eeb59eb3ae4f0710a7e417478c1212"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a> (T &amp;g1, T &amp;g2, T a, T b, T z, T digammaA, T digammaB, T digammaSum, T betaAB)</td></tr>
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+<div class="title">grad_reg_inc_beta.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="grad__reg__inc__beta_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_GRAD_REG_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_GRAD_REG_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2grad__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="comment">// Gradient of the regularized incomplete beta function ibeta(a, b, z)</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">   14</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">grad_reg_inc_beta</a>(T&amp; g1, T&amp; g2, T a, T b, T z,</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;                           T digammaA, T digammaB, T digammaSum, T betaAB) {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8fb6dcbe4585fc38ff9374aa5164582f">stan::math::grad_inc_beta</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      T dBda = 0;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      T dBdb = 0;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8fb6dcbe4585fc38ff9374aa5164582f">grad_inc_beta</a>(dBda, dBdb, a, b, z);</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      T b1 = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(a, b)) * <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(a, b, z);</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      g2 = (dBdb - b1 * (digammaB - digammaSum)) / betaAB;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    }</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;}</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac51be9d210e223a8aa4241e2d725e295"><div class="ttname"><a href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a></div><div class="ttdeci">fvar&lt; T &gt; lbeta(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">lbeta.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8fb6dcbe4585fc38ff9374aa5164582f"><div class="ttname"><a href="namespacestan_1_1math.html#a8fb6dcbe4585fc38ff9374aa5164582f">stan::math::grad_inc_beta</a></div><div class="ttdeci">void grad_inc_beta(stan::math::fvar&lt; T &gt; &amp;g1, stan::math::fvar&lt; T &gt; &amp;g2, stan::math::fvar&lt; T &gt; a, stan::math::fvar&lt; T &gt; b, stan::math::fvar&lt; T &gt; z)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2grad__inc__beta_8hpp_source.html#l00024">grad_inc_beta.hpp:24</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2grad__inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2grad__inc__beta_8hpp.html">grad_inc_beta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11eeb59eb3ae4f0710a7e417478c1212"><div class="ttname"><a href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a></div><div class="ttdeci">void grad_reg_inc_beta(T &amp;g1, T &amp;g2, T a, T b, T z, T digammaA, T digammaB, T digammaSum, T betaAB)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__beta_8hpp_source.html#l00014">grad_reg_inc_beta.hpp:14</a></div></div>
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+<code>#include &lt;cmath&gt;</code><br />
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+<div class="title">grad_reg_inc_gamma.hpp</div>  </div>
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+<div class="contents">
+<a href="grad__reg__inc__gamma_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_GRAD_REG_INC_GAMMA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_GRAD_REG_INC_GAMMA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="comment">// Gradient of the regularized incomplete gamma functions igamma(a, g)</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="comment">// Precomputed values</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="comment">// g   = boost::math::tgamma(a)</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="comment">// dig = boost::math::digamma(a)</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">   16</a></span>&#160;    T <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">grad_reg_inc_gamma</a>(T a, T z, T g, T dig, T precision = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-6) {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      T s = 1;</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;}</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6336e9873f3029f5abe54c4914c71cb2"><div class="ttname"><a href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a></div><div class="ttdeci">T grad_reg_inc_gamma(T a, T z, T g, T dig, T precision=1e-6)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__gamma_8hpp_source.html#l00016">grad_reg_inc_gamma.hpp:16</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a3d7d6e376e25db9cff72f82ca4c3e684"><div class="ttname"><a href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a></div><div class="ttdeci">bool isinf(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is infinite. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isinf_8hpp_source.html#l00022">boost_isinf.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa0fad89bd8e78eee42230dd92bcf1b15"><div class="ttname"><a href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">stan::math::gamma_p</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_p(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__p_8hpp_source.html#l00015">gamma_p.hpp:15</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__p_8hpp.html">gamma_p.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gradient__dot__vector_8hpp_source.html">stan/math/mix/mat/functor/gradient_dot_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="grad__tr__mat__times__hessian_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:aa7face099d2313985131cde21ae17d8f"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:aa7face099d2313985131cde21ae17d8f"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa7face099d2313985131cde21ae17d8f">stan::math::grad_tr_mat_times_hessian</a> (const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;M, Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;grad_tr_MH)</td></tr>
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+<div class="title">grad_tr_mat_times_hessian.hpp</div>  </div>
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+<a href="grad__tr__mat__times__hessian_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_MIX_MAT_FUNCTOR_GRAD_TR_MAT_TIMES_HESSIAN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_MIX_MAT_FUNCTOR_GRAD_TR_MAT_TIMES_HESSIAN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="comment">// FIXME: add other results that are easy to extract</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="comment">// // N * (fwd(2) + bk)</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ad4a72c89ed9143a7760cc3611e8a0df0">start_nested</a>();</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keywordflow">try</span> {</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>(0.0);</div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="gradient__dot__vector_8hpp_html"><div class="ttname"><a href="gradient__dot__vector_8hpp.html">gradient_dot_vector.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="gradient__dot__vector_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aef4059a767ad9af62d85cfb9685e250e"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename F &gt; </td></tr>
+<tr class="memitem:aef4059a767ad9af62d85cfb9685e250e"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aef4059a767ad9af62d85cfb9685e250e">stan::math::gradient_dot_vector</a> (const F &amp;f, const Eigen::Matrix&lt; T1, Eigen::Dynamic, 1 &gt; &amp;x, const Eigen::Matrix&lt; T2, Eigen::Dynamic, 1 &gt; &amp;v, T1 &amp;fx, T1 &amp;grad_fx_dot_v)</td></tr>
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+<div class="contents">
+<a href="gradient__dot__vector_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_MIX_MAT_FUNCTOR_GRADIENT_DOT_VECTOR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_MIX_MAT_FUNCTOR_GRADIENT_DOT_VECTOR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="comment">// aka directional derivative (not length normalized)</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="comment">// T2 must be assignable to T1</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keywordtype">void</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aef4059a767ad9af62d85cfb9685e250e">   17</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aef4059a767ad9af62d85cfb9685e250e">gradient_dot_vector</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;                        <span class="keyword">const</span> Eigen::Matrix&lt;T1, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                        <span class="keyword">const</span> Eigen::Matrix&lt;T2, Eigen::Dynamic, 1&gt;&amp; v,</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                        T1&amp; fx,</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                        T1&amp; grad_fx_dot_v) {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      Matrix&lt;fvar&lt;T1&gt;, Eigen::Dynamic, 1&gt; x_fvar(x.size());</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; x.size(); ++i)</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        x_fvar(i) = <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T1&gt;</a>(x(i), v(i));</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <a class="code" href="structstan_1_1math_1_1fvar.html">fvar&lt;T1&gt;</a> fx_fvar = f(x_fvar);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      fx = fx_fvar.<a class="code" href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">val_</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      grad_fx_dot_v = fx_fvar.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  }  <span class="comment">// namespace math</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;}  <span class="comment">// namespace stan</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aef4059a767ad9af62d85cfb9685e250e"><div class="ttname"><a href="namespacestan_1_1math.html#aef4059a767ad9af62d85cfb9685e250e">stan::math::gradient_dot_vector</a></div><div class="ttdeci">void gradient_dot_vector(const F &amp;f, const Eigen::Matrix&lt; T1, Eigen::Dynamic, 1 &gt; &amp;x, const Eigen::Matrix&lt; T2, Eigen::Dynamic, 1 &gt; &amp;v, T1 &amp;fx, T1 &amp;grad_fx_dot_v)</div><div class="ttdef"><b>Definition:</b> <a href="gradient__dot__vector_8hpp_source.html#l00017">gradient_dot_vector.hpp:17</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">Compressed Sparse Row matrix format.</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>A compressed Sparse Row (CSR) sparse matrix is defined by four component vectors labeled w, v, and u.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ga989f196379081c782be06612b5731dcb"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:ga989f196379081c782be06612b5731dcb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract the NZE index for each entry from a sparse matrix.  <a href="group__csr__format.html#ga989f196379081c782be06612b5731dcb">More...</a><br /></td></tr>
+<tr class="separator:ga989f196379081c782be06612b5731dcb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga221b0a757cf0703a929342d2b4cea763"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ga221b0a757cf0703a929342d2b4cea763"><td class="memTemplItemLeft" align="right" valign="top">const std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#ga221b0a757cf0703a929342d2b4cea763">stan::math::csr_extract_u</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td></tr>
+<tr class="memdesc:ga221b0a757cf0703a929342d2b4cea763"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract the NZE index for each entry from a sparse matrix.  <a href="group__csr__format.html#ga221b0a757cf0703a929342d2b4cea763">More...</a><br /></td></tr>
+<tr class="separator:ga221b0a757cf0703a929342d2b4cea763"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gade78a62d0fd64b0d5da2370256cbb6e0"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:gade78a62d0fd64b0d5da2370256cbb6e0"><td class="memTemplItemLeft" align="right" valign="top">const std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#gade78a62d0fd64b0d5da2370256cbb6e0">stan::math::csr_extract_v</a> (const Eigen::SparseMatrix&lt; T, Eigen::RowMajor &gt; &amp;A)</td></tr>
+<tr class="memdesc:gade78a62d0fd64b0d5da2370256cbb6e0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract the column indexes for non-zero value from a sparse matrix.  <a href="group__csr__format.html#gade78a62d0fd64b0d5da2370256cbb6e0">More...</a><br /></td></tr>
+<tr class="separator:gade78a62d0fd64b0d5da2370256cbb6e0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga01e6e2504c5eb6d0b289aa51172cd729"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ga01e6e2504c5eb6d0b289aa51172cd729"><td class="memTemplItemLeft" align="right" valign="top">const std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#ga01e6e2504c5eb6d0b289aa51172cd729">stan::math::csr_extract_v</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td></tr>
+<tr class="memdesc:ga01e6e2504c5eb6d0b289aa51172cd729"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract the column indexes for non-zero values from a dense matrix by converting to sparse and calling the sparse matrix extractor.  <a href="group__csr__format.html#ga01e6e2504c5eb6d0b289aa51172cd729">More...</a><br /></td></tr>
+<tr class="separator:ga01e6e2504c5eb6d0b289aa51172cd729"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae45bfd671760b4f442d272456b2ae01c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:gae45bfd671760b4f442d272456b2ae01c"><td class="memTemplItemLeft" align="right" valign="top">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#gae45bfd671760b4f442d272456b2ae01c">stan::math::csr_extract_w</a> (const Eigen::SparseMatrix&lt; T, Eigen::RowMajor &gt; &amp;A)</td></tr>
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+<tr class="memitem:ga0fdafcbb6706d2656fcf1ece6a20fad4"><td class="memTemplItemLeft" align="right" valign="top">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#ga0fdafcbb6706d2656fcf1ece6a20fad4">stan::math::csr_extract_w</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td></tr>
+<tr class="separator:ga0fdafcbb6706d2656fcf1ece6a20fad4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gab28ee38f5eb51242d9c9280202baff5f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:gab28ee38f5eb51242d9c9280202baff5f"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#gab28ee38f5eb51242d9c9280202baff5f">stan::math::csr_to_dense_matrix</a> (const int &amp;m, const int &amp;n, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;w, const std::vector&lt; int &gt; &amp;v, const std::vector&lt; int &gt; &amp;u)</td></tr>
+<tr class="memdesc:gab28ee38f5eb51242d9c9280202baff5f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a dense <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix from the CSR format components.  <a href="group__csr__format.html#gab28ee38f5eb51242d9c9280202baff5f">More...</a><br /></td></tr>
+<tr class="separator:gab28ee38f5eb51242d9c9280202baff5f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf4e1bf7c971d0b9eb931654ea309a2bf"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">stan::math::csr_u_to_z</a> (const std::vector&lt; int &gt; &amp;u, int i)</td></tr>
+<tr class="memdesc:gaf4e1bf7c971d0b9eb931654ea309a2bf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the z vector computed from the specified u vector at the index for the z vector.  <a href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">More...</a><br /></td></tr>
+<tr class="separator:gaf4e1bf7c971d0b9eb931654ea309a2bf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<p>A compressed Sparse Row (CSR) sparse matrix is defined by four component vectors labeled w, v, and u. </p>
+<p>Return the multiplication of the sparse matrix (specified by by values and indexing) by the specified dense vector.</p>
+<p>They are defined as:</p><ul>
+<li>w: the non-zero values in the sparse matrix.</li>
+<li>v: column index for each value in w, as a result this is the same length as w.</li>
+<li>u: index of where each row starts in w, length is equal to the number of rows plus one. Last entry is one-past-the-end in w, following the <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> spec. Indexing is either zero-based or one-based depending on the value of <a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a>. Following the definition of the format in <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a>, we allow for unused garbage values in w/v which are never read. All indexing <em>internal</em> to a given function is zero-based.</li>
+</ul>
+<p>With only m/n/w/v/u in hand, it is possible to check all dimensions are sane <em>except</em> the column dimension since it is implicit. The error-checking strategy is to check all dimensions except the column dimension before any work is done inside a function. The column index is checked as it is constructed and used for each entry. If the column index is not needed it is not checked. As a result indexing mistakes might produce non-sensical operations but out-of-bounds indexing will be caught.</p>
+<p>Except for possible garbage values in w/v/u, memory usage is calculated from the number of non-zero entries (NNZE) and the number of rows (NR): 2*NNZE + 2*NR + 1.</p>
+<p>The sparse matrix X of dimension m by n is represented by the vector w (of values), the integer array v (containing one-based column index of each value), the integer array u (containing one-based indexes of where each row starts in w).</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of sparse matrix entries. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of dense vector entries. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Number of rows in matrix. </td></tr>
+    <tr><td class="paramname">n</td><td>Number of columns in matrix. </td></tr>
+    <tr><td class="paramname">w</td><td>Vector of non-zero values in matrix. </td></tr>
+    <tr><td class="paramname">v</td><td>Column index of each non-zero value, same length as w. </td></tr>
+    <tr><td class="paramname">u</td><td>Index of where each row starts in w, length equal to the number of rows plus one. </td></tr>
+    <tr><td class="paramname">b</td><td><a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector which the matrix is multiplied by. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dense vector for the product. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if m and n are not positive or are nan. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if the implied sparse matrix and b are not multiplicable. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if m/n/w/v/u are not internally consistent, as defined by the indexing scheme. Extractors are defined in Stan which guarantee a consistent set of m/n/w/v/u for a given sparse matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ga989f196379081c782be06612b5731dcb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;int&gt; stan::math::csr_extract_u </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::SparseMatrix&lt; T, Eigen::RowMajor &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Extract the NZE index for each entry from a sparse matrix. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of matrix entries. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>Sparse matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Vector of indexes into non-zero entries of A. </dd></dl>
+
+<p>Definition at line <a class="el" href="csr__extract__u_8hpp_source.html#l00027">27</a> of file <a class="el" href="csr__extract__u_8hpp_source.html">csr_extract_u.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga221b0a757cf0703a929342d2b4cea763"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;int&gt; stan::math::csr_extract_u </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Extract the NZE index for each entry from a sparse matrix. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of matrix entries. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>Dense matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Vector of indexes into non-zero entries of A. </dd></dl>
+
+<p>Definition at line <a class="el" href="csr__extract__u_8hpp_source.html#l00043">43</a> of file <a class="el" href="csr__extract__u_8hpp_source.html">csr_extract_u.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gade78a62d0fd64b0d5da2370256cbb6e0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;int&gt; stan::math::csr_extract_v </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::SparseMatrix&lt; T, Eigen::RowMajor &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Extract the column indexes for non-zero value from a sparse matrix. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of matrix entries. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>Sparse matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Vector of column indexes for non-zero entries of A. </dd></dl>
+
+<p>Definition at line <a class="el" href="csr__extract__v_8hpp_source.html#l00028">28</a> of file <a class="el" href="csr__extract__v_8hpp_source.html">csr_extract_v.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga01e6e2504c5eb6d0b289aa51172cd729"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;int&gt; stan::math::csr_extract_v </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Extract the column indexes for non-zero values from a dense matrix by converting to sparse and calling the sparse matrix extractor. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of matrix entries. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">A</td><td>dense matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Vector of column indexes to non-zero entries of A. </dd></dl>
+
+<p>Definition at line <a class="el" href="csr__extract__v_8hpp_source.html#l00046">46</a> of file <a class="el" href="csr__extract__v_8hpp_source.html">csr_extract_v.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gae45bfd671760b4f442d272456b2ae01c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::csr_extract_w </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::SparseMatrix&lt; T, Eigen::RowMajor &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="csr__extract__w_8hpp_source.html#l00024">24</a> of file <a class="el" href="csr__extract__w_8hpp_source.html">csr_extract_w.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ga0fdafcbb6706d2656fcf1ece6a20fad4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::csr_extract_w </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="csr__extract__w_8hpp_source.html#l00041">41</a> of file <a class="el" href="csr__extract__w_8hpp_source.html">csr_extract_w.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gab28ee38f5eb51242d9c9280202baff5f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::csr_to_dense_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const int &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>w</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>u</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a dense <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix from the CSR format components. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of matrix entries. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>Number of matrix rows. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>Number of matrix columns. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">w</td><td>Values of non-zero matrix entries. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>Column index for each value in w. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">u</td><td>Index of where each row starts in w. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dense matrix defined by previous arguments. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the arguments do not define a matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="csr__to__dense__matrix_8hpp_source.html#l00035">35</a> of file <a class="el" href="csr__to__dense__matrix_8hpp_source.html">csr_to_dense_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="gaf4e1bf7c971d0b9eb931654ea309a2bf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::csr_u_to_z </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>u</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the z vector computed from the specified u vector at the index for the z vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">u</td><td>U vector. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>Index into resulting z vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>z[i] where z is conversion from u. </dd></dl>
+
+<p>Definition at line <a class="el" href="csr__u__to__z_8hpp_source.html#l00024">24</a> of file <a class="el" href="csr__u__to__z_8hpp_source.html">csr_u_to_z.hpp</a>.</p>
+
+</div>
+</div>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/gumbel__ccdf__log_8hpp.html b/doc/api/html/gumbel__ccdf__log_8hpp.html
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">gumbel_ccdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="gumbel__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a9da900adc6bb1216e99f604001cd4caa"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a9da900adc6bb1216e99f604001cd4caa"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9da900adc6bb1216e99f604001cd4caa">stan::math::gumbel_ccdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;beta)</td></tr>
+<tr class="separator:a9da900adc6bb1216e99f604001cd4caa"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">gumbel_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="gumbel__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_GUMBEL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_GUMBEL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9da900adc6bb1216e99f604001cd4caa">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9da900adc6bb1216e99f604001cd4caa">gumbel_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; beta) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::gumbel_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">return</span> ccdf_log;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        operands_and_partials(y, mu, beta);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
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+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl) / beta_dbl;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                                                - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff))</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          / beta_dbl;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> T_partials_return ccdf_log_ = 1.0 - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-<a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff));</div>
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+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
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+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
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+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;  }</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;}</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9da900adc6bb1216e99f604001cd4caa"><div class="ttname"><a href="namespacestan_1_1math.html#a9da900adc6bb1216e99f604001cd4caa">stan::math::gumbel_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type gumbel_ccdf_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="gumbel__ccdf__log_8hpp_source.html#l00028">gumbel_ccdf_log.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">gumbel_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="gumbel__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a52ac5bc9a01ebadccc004463b054697c"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a52ac5bc9a01ebadccc004463b054697c"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a52ac5bc9a01ebadccc004463b054697c">stan::math::gumbel_cdf</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;beta)</td></tr>
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+<div class="title">gumbel_cdf.hpp</div>  </div>
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+<a href="gumbel__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_GUMBEL_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_GUMBEL_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a52ac5bc9a01ebadccc004463b054697c">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a52ac5bc9a01ebadccc004463b054697c">gumbel_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; beta) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::gumbel_cdf&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      T_partials_return cdf(1.0);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
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+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        operands_and_partials(y, mu, beta);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, beta);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl) / beta_dbl;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                                                - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff))</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;          / beta_dbl;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return cdf_ = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-<a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff));</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        cdf *= cdf_;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv / cdf_;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= rep_deriv / cdf_;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv * scaled_diff / cdf_;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] *= cdf;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      }</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu); ++n)</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] *= cdf;</div>
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+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta); ++n)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] *= cdf;</div>
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+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf);</div>
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+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
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+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a52ac5bc9a01ebadccc004463b054697c"><div class="ttname"><a href="namespacestan_1_1math.html#a52ac5bc9a01ebadccc004463b054697c">stan::math::gumbel_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type gumbel_cdf(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="gumbel__cdf_8hpp_source.html#l00028">gumbel_cdf.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="gumbel__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a06f4009f162e58a62a583b84f2d5ccf9"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a06f4009f162e58a62a583b84f2d5ccf9"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a06f4009f162e58a62a583b84f2d5ccf9">stan::math::gumbel_cdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;beta)</td></tr>
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+<a href="gumbel__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_GUMBEL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_GUMBEL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a06f4009f162e58a62a583b84f2d5ccf9">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a06f4009f162e58a62a583b84f2d5ccf9">gumbel_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; beta) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::gumbel_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> cdf_log;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        operands_and_partials(y, mu, beta);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, beta);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl) / beta_dbl;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff) / beta_dbl;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        cdf_log -= <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= rep_deriv;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv * scaled_diff;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  }</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;}</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a06f4009f162e58a62a583b84f2d5ccf9"><div class="ttname"><a href="namespacestan_1_1math.html#a06f4009f162e58a62a583b84f2d5ccf9">stan::math::gumbel_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type gumbel_cdf_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="gumbel__cdf__log_8hpp_source.html#l00028">gumbel_cdf_log.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa5fda97c2d23cb9fd2091e5bd1002e5d"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
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+<a href="gumbel__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_GUMBEL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_GUMBEL_LOG_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto, <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa5fda97c2d23cb9fd2091e5bd1002e5d">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa5fda97c2d23cb9fd2091e5bd1002e5d">gumbel_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; beta) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::gumbel_log&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        operands_and_partials(y, mu, beta);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, beta);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_scale&gt;</a> inv_beta(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta));</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                    T_partials_return, T_scale&gt; log_beta(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta));</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta); i++) {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        inv_beta[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          log_beta[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]));</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="comment">// pull out values of arguments</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="comment">// reusable subexpression values</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">const</span> T_partials_return y_minus_mu_over_beta</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          = (y_dbl - mu_dbl) * inv_beta[n];</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="comment">// log probability</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          logp -= log_beta[n];</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          logp += -y_minus_mu_over_beta - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-y_minus_mu_over_beta);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        T_partials_return scaled_diff = inv_beta[n]</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-y_minus_mu_over_beta);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= inv_beta[n] - scaled_diff;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += inv_beta[n] - scaled_diff;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            += -inv_beta[n] + y_minus_mu_over_beta * inv_beta[n]</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            - scaled_diff * y_minus_mu_over_beta;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      }</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    }</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    <span class="keyword">inline</span></div>
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+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
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+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="title">gumbel_rng.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="gumbel__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:afb7ad70ee185c1e0720086617431f71a"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:afb7ad70ee185c1e0720086617431f71a"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afb7ad70ee185c1e0720086617431f71a">stan::math::gumbel_rng</a> (const double mu, const double beta, RNG &amp;rng)</td></tr>
+<tr class="separator:afb7ad70ee185c1e0720086617431f71a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">gumbel_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="gumbel__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_GUMBEL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_GUMBEL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afb7ad70ee185c1e0720086617431f71a">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#afb7ad70ee185c1e0720086617431f71a">gumbel_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> mu,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;               <span class="keyword">const</span> <span class="keywordtype">double</span> beta,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;               RNG&amp; rng) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> boost::uniform_01;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::gumbel_rng&quot;</span>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      variate_generator&lt;RNG&amp;, uniform_01&lt;&gt; &gt;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        uniform01_rng(rng, uniform_01&lt;&gt;());</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">return</span> mu - beta * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(-<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(uniform01_rng()));</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;}</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_afb7ad70ee185c1e0720086617431f71a"><div class="ttname"><a href="namespacestan_1_1math.html#afb7ad70ee185c1e0720086617431f71a">stan::math::gumbel_rng</a></div><div class="ttdeci">double gumbel_rng(const double mu, const double beta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="gumbel__rng_8hpp_source.html#l00024">gumbel_rng.hpp:24</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__column__index_8hpp_source.html">stan/math/prim/mat/err/check_column_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__row__index_8hpp_source.html">stan/math/prim/mat/err/check_row_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__std__vector__index_8hpp_source.html">stan/math/prim/mat/err/check_std_vector_index.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="head_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae824fde6dc6e0f4ac3d37b86fb266414"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ae824fde6dc6e0f4ac3d37b86fb266414"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae824fde6dc6e0f4ac3d37b86fb266414">stan::math::head</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;v, size_t n)</td></tr>
+<tr class="memdesc:ae824fde6dc6e0f4ac3d37b86fb266414"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified number of elements as a vector from the front of the specified vector.  <a href="namespacestan_1_1math.html#ae824fde6dc6e0f4ac3d37b86fb266414">More...</a><br /></td></tr>
+<tr class="separator:ae824fde6dc6e0f4ac3d37b86fb266414"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ada1d4ceb7d5aac027e9ec6adcb18755a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ada1d4ceb7d5aac027e9ec6adcb18755a"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ada1d4ceb7d5aac027e9ec6adcb18755a">stan::math::head</a> (const Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &amp;rv, size_t n)</td></tr>
+<tr class="memdesc:ada1d4ceb7d5aac027e9ec6adcb18755a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified number of elements as a row vector from the front of the specified row vector.  <a href="namespacestan_1_1math.html#ada1d4ceb7d5aac027e9ec6adcb18755a">More...</a><br /></td></tr>
+<tr class="separator:ada1d4ceb7d5aac027e9ec6adcb18755a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5e746ba14994b318a0a192a97a0a28db"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a5e746ba14994b318a0a192a97a0a28db"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5e746ba14994b318a0a192a97a0a28db">stan::math::head</a> (const std::vector&lt; T &gt; &amp;sv, size_t n)</td></tr>
+<tr class="memdesc:a5e746ba14994b318a0a192a97a0a28db"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified number of elements as a standard vector from the front of the specified standard vector.  <a href="namespacestan_1_1math.html#a5e746ba14994b318a0a192a97a0a28db">More...</a><br /></td></tr>
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+<div class="title">head.hpp</div>  </div>
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+<a href="head_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_HEAD_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_HEAD_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__column__index_8hpp.html">stan/math/prim/mat/err/check_column_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__row__index_8hpp.html">stan/math/prim/mat/err/check_row_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__std__vector__index_8hpp.html">stan/math/prim/mat/err/check_std_vector_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae824fde6dc6e0f4ac3d37b86fb266414">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae824fde6dc6e0f4ac3d37b86fb266414">head</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; v,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;         <span class="keywordtype">size_t</span> n) {</div>
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+<div class="ttc" id="check__column__index_8hpp_html"><div class="ttname"><a href="check__column__index_8hpp.html">check_column_index.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_acb080867499e68f688b0dcb5c8f4e061"><div class="ttname"><a href="namespacestan_1_1math.html#acb080867499e68f688b0dcb5c8f4e061">stan::math::check_row_index</a></div><div class="ttdeci">bool check_row_index(const char *function, const char *name, const Eigen::Matrix&lt; T_y, R, C &gt; &amp;y, size_t i)</div><div class="ttdoc">Return true if the specified index is a valid row of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="check__row__index_8hpp_source.html#l00032">check_row_index.hpp:32</a></div></div>
+<div class="ttc" id="check__row__index_8hpp_html"><div class="ttname"><a href="check__row__index_8hpp.html">check_row_index.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="hessian_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a01474168e03d94b982b6b4fd694b3302"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:a01474168e03d94b982b6b4fd694b3302"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a01474168e03d94b982b6b4fd694b3302">stan::math::hessian</a> (const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;grad, Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;H)</td></tr>
+<tr class="memdesc:a01474168e03d94b982b6b4fd694b3302"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the value, the gradient, and the Hessian, of the specified function at the specified argument in O(N^2) time and O(N^2) space.  <a href="namespacestan_1_1math.html#a01474168e03d94b982b6b4fd694b3302">More...</a><br /></td></tr>
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+<tr class="memitem:ab7006e79de4699a89e4980e1a6097770"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab7006e79de4699a89e4980e1a6097770">stan::math::hessian</a> (const F &amp;f, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, T &amp;fx, Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;grad, Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;H)</td></tr>
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+<a href="hessian_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_MIX_MAT_FUNCTOR_HESSIAN_HPP</span></div>
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+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      } <span class="keywordflow">catch</span> (<span class="keyword">const</span> std::exception&amp; <a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>) {</div>
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+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> F&gt;</div>
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+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;}  <span class="comment">// namespace stan</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="title">hessian_times_vector.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="hessian__times__vector_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a69389a1cd22b50df04a87245292f7f85"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:a69389a1cd22b50df04a87245292f7f85"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a69389a1cd22b50df04a87245292f7f85">stan::math::hessian_times_vector</a> (const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;v, double &amp;fx, Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;Hv)</td></tr>
+<tr class="separator:a69389a1cd22b50df04a87245292f7f85"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1bb76a7877dac777de4757af8f2677be"><td class="memTemplParams" colspan="2">template&lt;typename T , typename F &gt; </td></tr>
+<tr class="memitem:a1bb76a7877dac777de4757af8f2677be"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1bb76a7877dac777de4757af8f2677be">stan::math::hessian_times_vector</a> (const F &amp;f, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;v, T &amp;fx, Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;Hv)</td></tr>
+<tr class="separator:a1bb76a7877dac777de4757af8f2677be"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">hessian_times_vector.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="hessian__times__vector_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_MIX_MAT_FUNCTOR_HESSIAN_TIMES_VECTOR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_MIX_MAT_FUNCTOR_HESSIAN_TIMES_VECTOR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keywordtype">void</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a69389a1cd22b50df04a87245292f7f85">   16</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a69389a1cd22b50df04a87245292f7f85">hessian_times_vector</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; v,</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                         <span class="keywordtype">double</span>&amp; fx,</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                         Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; Hv) {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ad4a72c89ed9143a7760cc3611e8a0df0">start_nested</a>();</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keywordflow">try</span> {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        Matrix&lt;var, Eigen::Dynamic, 1&gt; x_var(x.size());</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; x_var.size(); ++i)</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;          x_var(i) = x(i);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        <a class="code" href="classstan_1_1math_1_1var.html">var</a> fx_var;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <a class="code" href="classstan_1_1math_1_1var.html">var</a> grad_fx_var_dot_v;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aef4059a767ad9af62d85cfb9685e250e">gradient_dot_vector</a>(f, x_var, v, fx_var, grad_fx_var_dot_v);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        fx = fx_var.<a class="code" href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">val</a>();</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">stan::math::grad</a>(grad_fx_var_dot_v.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        Hv.resize(x.size());</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; x.size(); ++i)</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      } <span class="keywordflow">catch</span> (<span class="keyword">const</span> std::exception&amp; <a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">stan::math::recover_memory_nested</a>();</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordflow">throw</span>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">stan::math::recover_memory_nested</a>();</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keywordtype">void</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1bb76a7877dac777de4757af8f2677be">   45</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a69389a1cd22b50df04a87245292f7f85">hessian_times_vector</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; v,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                         T&amp; fx,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                         Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; Hv) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      Matrix&lt;T, Eigen::Dynamic, 1&gt; <a class="code" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">grad</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; H;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a01474168e03d94b982b6b4fd694b3302">hessian</a>(f, x, fx, grad, H);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      Hv = H * v;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    }</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  }  <span class="comment">// namespace math</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;}  <span class="comment">// namespace stan</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69389a1cd22b50df04a87245292f7f85"><div class="ttname"><a href="namespacestan_1_1math.html#a69389a1cd22b50df04a87245292f7f85">stan::math::hessian_times_vector</a></div><div class="ttdeci">void hessian_times_vector(const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;v, double &amp;fx, Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;Hv)</div><div class="ttdef"><b>Definition:</b> <a href="hessian__times__vector_8hpp_source.html#l00016">hessian_times_vector.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a20437f997cf28c6013d897f1d8099106"><div class="ttname"><a href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">stan::math::grad</a></div><div class="ttdeci">static void grad(vari *vi)</div><div class="ttdoc">Compute the gradient for all variables starting from the specified root variable implementation. </div><div class="ttdef"><b>Definition:</b> <a href="core_2grad_8hpp_source.html#l00030">grad.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8ebf2b2bc0f63dcb46a176b43e8b369a"><div class="ttname"><a href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">stan::math::recover_memory_nested</a></div><div class="ttdeci">static void recover_memory_nested()</div><div class="ttdoc">Recover only the memory used for the top nested call. </div><div class="ttdef"><b>Definition:</b> <a href="recover__memory__nested_8hpp_source.html#l00020">recover_memory_nested.hpp:20</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_adee6abba4694821dd182f44657b53bca"><div class="ttname"><a href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">stan::math::var::val</a></div><div class="ttdeci">double val() const </div><div class="ttdoc">Return the value of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00233">var.hpp:233</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aef4059a767ad9af62d85cfb9685e250e"><div class="ttname"><a href="namespacestan_1_1math.html#aef4059a767ad9af62d85cfb9685e250e">stan::math::gradient_dot_vector</a></div><div class="ttdeci">void gradient_dot_vector(const F &amp;f, const Eigen::Matrix&lt; T1, Eigen::Dynamic, 1 &gt; &amp;x, const Eigen::Matrix&lt; T2, Eigen::Dynamic, 1 &gt; &amp;v, T1 &amp;fx, T1 &amp;grad_fx_dot_v)</div><div class="ttdef"><b>Definition:</b> <a href="gradient__dot__vector_8hpp_source.html#l00017">gradient_dot_vector.hpp:17</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad4a72c89ed9143a7760cc3611e8a0df0"><div class="ttname"><a href="namespacestan_1_1math.html#ad4a72c89ed9143a7760cc3611e8a0df0">stan::math::start_nested</a></div><div class="ttdeci">static void start_nested()</div><div class="ttdoc">Record the current position so that recover_memory_nested() can find it. </div><div class="ttdef"><b>Definition:</b> <a href="start__nested_8hpp_source.html#l00013">start_nested.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
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+<div class="title">Class Hierarchy</div>  </div>
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+<div class="textblock">This inheritance list is sorted roughly, but not completely, alphabetically:</div><div class="directory">
+<div class="levels">[detail level <span onclick="javascript:toggleLevel(1);">1</span><span onclick="javascript:toggleLevel(2);">2</span><span onclick="javascript:toggleLevel(3);">3</span>]</div><table class="directory">
+<tr id="row_0_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1accumulator.html" target="_self">stan::math::accumulator&lt; T &gt;</a></td><td class="desc">Class to accumulate values and eventually return their sum </td></tr>
+<tr id="row_1_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html" target="_self">stan::math::apply_scalar_unary&lt; F, T &gt;</a></td><td class="desc">Base template class for vectorization of unary scalar functions defined by a template class <code>F</code> to a scalar, standard library vector, or <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> dense matrix expression template </td></tr>
+<tr id="row_2_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html" target="_self">stan::math::apply_scalar_unary&lt; F, double &gt;</a></td><td class="desc">Template specialization for vectorized functions applying to double arguments </td></tr>
+<tr id="row_3_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html" target="_self">stan::math::apply_scalar_unary&lt; F, int &gt;</a></td><td class="desc">Template specialization for vectorized functions applying to integer arguments </td></tr>
+<tr id="row_4_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html" target="_self">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</a></td><td class="desc">Template specialization to fvar for vectorizing a unary scalar function </td></tr>
+<tr id="row_5_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html" target="_self">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;</a></td><td class="desc">Template specialization to var for vectorizing a unary scalar function </td></tr>
+<tr id="row_6_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;</a></td><td class="desc">Template specialization for vectorized functions applying to standard vector containers </td></tr>
+<tr id="row_7_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1array__builder.html" target="_self">stan::math::array_builder&lt; T &gt;</a></td><td class="desc">Structure for building up arrays in an expression (rather than in statements) using an argumentchaining <a class="el" href="structstan_1_1math_1_1array__builder.html#a085e0190d7a41c4e33bfa9f542b1d62a">add()</a> method and a getter method <a class="el" href="structstan_1_1math_1_1array__builder.html#a725410c59aa282c6b23c52fd252aa1a3">array()</a> to return the result </td></tr>
+<tr id="row_8_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html" target="_self">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_9_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1detail_1_1bounded.html" target="_self">stan::math::detail::bounded&lt; T_y, T_low, T_high, y_is_vec &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_10_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html" target="_self">stan::math::detail::bounded&lt; T_y, T_low, T_high, true &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_11_"><td class="entry"><span style="width:0px;display:inline-block;">&#160;</span><span id="arr_11_" class="arrow" onclick="toggleFolder('11_')">&#9658;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1chainable__alloc.html" target="_self">stan::math::chainable_alloc</a></td><td class="desc">A <a class="el" href="classstan_1_1math_1_1chainable__alloc.html" title="A chainable_alloc is an object which is constructed and destructed normally but the memory lifespan i...">chainable_alloc</a> is an object which is constructed and destructed normally but the memory lifespan is managed along with the arena allocator for the gradient calculation </td></tr>
+<tr id="row_11_0_" class="even" style="display:none;"><td class="entry"><span style="width:32px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html" target="_self">stan::math::LDLT_alloc&lt; R, C &gt;</a></td><td class="desc">This object stores the actual (double typed) LDLT factorization of an Eigen::Matrix&lt;var&gt; along with pointers to its vari's which allow the *_ldlt functions to save memory </td></tr>
+<tr id="row_12_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1child__type.html" target="_self">stan::math::child_type&lt; T &gt;</a></td><td class="desc">Primary template class for metaprogram to compute child type of T </td></tr>
+<tr id="row_13_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4.html" target="_self">stan::math::child_type&lt; T_struct&lt; T_child &gt; &gt;</a></td><td class="desc">Specialization for template classes / structs </td></tr>
+<tr id="row_14_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1common__type.html" target="_self">stan::math::common_type&lt; T1, T2 &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_15_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html" target="_self">stan::math::common_type&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_16_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1common__type_3_01std_1_1vector_3_01_t1_01_4_00_01std_1_1vector_3_01_t2_01_4_01_4.html" target="_self">stan::math::common_type&lt; std::vector&lt; T1 &gt;, std::vector&lt; T2 &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_17_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view.html" target="_self">stan::math::container_view&lt; T1, T2 &gt;</a></td><td class="desc">Primary template class for container view of array y with same structure as T1 and size as x </td></tr>
+<tr id="row_18_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html" target="_self">stan::math::container_view&lt; dummy, T2 &gt;</a></td><td class="desc">Dummy type specialization, used in conjunction with struct dummy as described above </td></tr>
+<tr id="row_19_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html" target="_self">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td><td class="desc">Template specialization for Eigen::Map view of array with scalar type T2 with size inferred from input Eigen::Matrix </td></tr>
+<tr id="row_20_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html" target="_self">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a></td><td class="desc">Template specialization for scalar view of array y with scalar type T2 </td></tr>
+<tr id="row_21_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html" target="_self">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td><td class="desc">Template specialization for matrix view of array y with scalar type T2 with shape equal to x </td></tr>
+<tr id="row_22_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_t1_01_4_00_01_t2_01_4.html" target="_self">stan::math::container_view&lt; std::vector&lt; T1 &gt;, T2 &gt;</a></td><td class="desc">Template specialization for scalar view of array y with scalar type T2 with proper indexing inferred from input vector x of scalar type T1 </td></tr>
+<tr id="row_23_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1contains__fvar.html" target="_self">stan::contains_fvar&lt; T1, T2, T3, T4, T5, T6 &gt;</a></td><td class="desc">Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of the template parameters </td></tr>
+<tr id="row_24_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1contains__nonconstant__struct.html" target="_self">stan::contains_nonconstant_struct&lt; T1, T2, T3, T4, T5, T6 &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_25_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1contains__vector.html" target="_self">stan::contains_vector&lt; T1, T2, T3, T4, T5, T6 &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_26_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html" target="_self">stan::math::coupled_ode_observer</a></td><td class="desc">Observer for the coupled states </td></tr>
+<tr id="row_27_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1coupled__ode__system.html" target="_self">stan::math::coupled_ode_system&lt; F, T1, T2 &gt;</a></td><td class="desc">Base template class for a coupled ordinary differential equation system, which adds sensitivities to the base system </td></tr>
+<tr id="row_28_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html" target="_self">stan::math::coupled_ode_system&lt; F, double, double &gt;</a></td><td class="desc">The coupled ode system for known initial values and known parameters </td></tr>
+<tr id="row_29_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html" target="_self">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="desc">The coupled ODE system for known initial values and unknown parameters </td></tr>
+<tr id="row_30_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html" target="_self">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="desc">The coupled ODE system for unknown initial values and known parameters </td></tr>
+<tr id="row_31_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html" target="_self">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="desc">The coupled ode system for unknown intial values and unknown parameters </td></tr>
+<tr id="row_32_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html" target="_self">stan::math::cvodes_ode_data&lt; F, T_initial, T_param &gt;</a></td><td class="desc">CVODES ode data holder object which is used during CVODES integration for CVODES callbacks </td></tr>
+<tr id="row_33_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1dummy.html" target="_self">stan::math::dummy</a></td><td class="desc">Empty struct for use in boost::condtional&lt;<a class="el" href="structstan_1_1is__constant__struct.html" title="Metaprogram to determine if a type has a base scalar type that can be assigned to type double...">is_constant_struct</a>&lt;T1&gt;::value, T1, dummy&gt;::type as false condtion for safe indexing </td></tr>
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+<tr id="row_35_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1fvar.html" target="_self">stan::math::fvar&lt; T &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_36_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html" target="_self">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_37_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html" target="_self">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a></td><td class="desc"></td></tr>
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+<tr id="row_39_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1include__summand.html" target="_self">stan::math::include_summand&lt; propto, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10 &gt;</a></td><td class="desc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) probability calculation </td></tr>
+<tr id="row_40_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1index__type.html" target="_self">stan::math::index_type&lt; T &gt;</a></td><td class="desc">Primary template class for the metaprogram to compute the index type of a container </td></tr>
+<tr id="row_41_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html" target="_self">stan::math::index_type&lt; const T &gt;</a></td><td class="desc">Template class for metaprogram to compute the type of indexes used in a constant container type </td></tr>
+<tr id="row_42_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html" target="_self">stan::math::index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="desc">Template metaprogram defining typedef for the type of index for an <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix, vector, or row vector </td></tr>
+<tr id="row_43_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">stan::math::index_type&lt; std::vector&lt; T &gt; &gt;</a></td><td class="desc">Template metaprogram class to compute the type of index for a standard vector </td></tr>
+<tr id="row_44_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__constant.html" target="_self">stan::is_constant&lt; T &gt;</a></td><td class="desc">Metaprogramming struct to detect whether a given type is constant in the mathematical sense (not the C++ <code>const</code> sense) </td></tr>
+<tr id="row_45_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__constant__struct.html" target="_self">stan::is_constant_struct&lt; T &gt;</a></td><td class="desc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double </td></tr>
+<tr id="row_46_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html" target="_self">stan::is_constant_struct&lt; Eigen::Block&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_47_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html" target="_self">stan::is_constant_struct&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_48_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__constant__struct_3_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">stan::is_constant_struct&lt; std::vector&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_49_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__fvar.html" target="_self">stan::is_fvar&lt; T &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_50_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__fvar_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html" target="_self">stan::is_fvar&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_51_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__var.html" target="_self">stan::is_var&lt; T &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_52_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__var_3_01stan_1_1math_1_1var_01_4.html" target="_self">stan::is_var&lt; stan::math::var &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_53_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__var__or__arithmetic.html" target="_self">stan::is_var_or_arithmetic&lt; T1, T2, T3, T4, T5, T6 &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_54_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector.html" target="_self">stan::is_vector&lt; T &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_55_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector_3_01const_01_t_01_4.html" target="_self">stan::is_vector&lt; const T &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_56_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html" target="_self">stan::is_vector&lt; Eigen::Block&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_57_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">stan::is_vector&lt; Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_58_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html" target="_self">stan::is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_59_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector_3_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">stan::is_vector&lt; std::vector&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_60_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector__like.html" target="_self">stan::is_vector_like&lt; T &gt;</a></td><td class="desc">Template metaprogram indicates whether a type is vector_like </td></tr>
+<tr id="row_61_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector__like_3_01const_01_t_01_4.html" target="_self">stan::is_vector_like&lt; const T &gt;</a></td><td class="desc">Template metaprogram indicates whether a type is vector_like </td></tr>
+<tr id="row_62_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">stan::is_vector_like&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></td><td class="desc">Template metaprogram indicates whether a type is vector_like </td></tr>
+<tr id="row_63_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html" target="_self">stan::is_vector_like&lt; T * &gt;</a></td><td class="desc">Template metaprogram indicates whether a type is vector_like </td></tr>
+<tr id="row_64_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html" target="_self">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_65_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html" target="_self">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td><td class="desc">A template specialization of src/stan/math/matrix/LDLT_factor.hpp for <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> which can be used with all the *_ldlt functions </td></tr>
+<tr id="row_66_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html" target="_self">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td><td class="desc"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> is a thin wrapper on Eigen::LDLT to allow for reusing factorizations and efficient autodiff of things like log determinants and solutions to linear systems </td></tr>
+<tr id="row_67_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html" target="_self">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_68_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html" target="_self">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="desc">Specialization of numeric limits for var objects </td></tr>
+<tr id="row_69_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html" target="_self">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="desc">Numerical traits template override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables </td></tr>
+<tr id="row_70_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html" target="_self">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="desc">Numerical traits template override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables </td></tr>
+<tr id="row_71_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1ode__system.html" target="_self">stan::math::ode_system&lt; F &gt;</a></td><td class="desc">Internal representation of an ODE model object which provides convenient Jacobian functions to obtain gradients wrt to states and parameters </td></tr>
+<tr id="row_72_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1_operands_and_partials.html" target="_self">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a></td><td class="desc">This class builds partial derivatives with respect to a set of operands </td></tr>
+<tr id="row_73_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html" target="_self">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="desc">This class builds partial derivatives with respect to a set of operands </td></tr>
+<tr id="row_74_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html" target="_self">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a></td><td class="desc">This class builds partial derivatives with respect to a set of operands </td></tr>
+<tr id="row_75_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1partials__return__type.html" target="_self">stan::partials_return_type&lt; T1, T2, T3, T4, T5, T6 &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_76_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1partials__type.html" target="_self">stan::partials_type&lt; T &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_77_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1partials__type_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html" target="_self">stan::partials_type&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_78_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4.html" target="_self">stan::partials_type&lt; stan::math::var &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_79_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1pass__type.html" target="_self">stan::math::pass_type&lt; T &gt;</a></td><td class="desc"></td></tr>
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+<tr id="row_81_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1pass__type_3_01int_01_4.html" target="_self">stan::math::pass_type&lt; int &gt;</a></td><td class="desc"></td></tr>
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+<tr id="row_83_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html" target="_self">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt;</a></td><td class="desc">Struct to hold static function for promoting underlying scalar types </td></tr>
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+<tr id="row_87_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html" target="_self">stan::math::promote_scalar_struct&lt; T, T &gt;</a></td><td class="desc">Struct to hold static function for promoting underlying scalar types </td></tr>
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+<tr id="row_89_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="desc">Template metaprogram to calculate a type for a row vector whose underlying scalar is converted from the second template parameter type to the first </td></tr>
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+<tr id="row_99_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1return__type.html" target="_self">stan::return_type&lt; T1, T2, T3, T4, T5, T6 &gt;</a></td><td class="desc">Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of the template parameters </td></tr>
+<tr id="row_100_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html" target="_self">Eigen::internal::scalar_product_traits&lt; double, stan::math::var &gt;</a></td><td class="desc">Scalar product traits override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables </td></tr>
+<tr id="row_101_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html" target="_self">Eigen::internal::scalar_product_traits&lt; stan::math::var, double &gt;</a></td><td class="desc">Scalar product traits override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables </td></tr>
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+<tr id="row_103_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">stan::scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_104_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1scalar__type_3_01_t_01_5_01_4.html" target="_self">stan::scalar_type&lt; T * &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_105_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1scalar__type__pre.html" target="_self">stan::scalar_type_pre&lt; T &gt;</a></td><td class="desc">Metaprogram structure to determine the type of first container of the base scalar type of a template argument </td></tr>
+<tr id="row_106_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view.html" target="_self">stan::math::seq_view&lt; T, S &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_107_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html" target="_self">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_108_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_109_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html" target="_self">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_110_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html" target="_self">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_111_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html" target="_self">stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_112_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html" target="_self">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_113_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_114_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html" target="_self">Eigen::internal::significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt;</a></td><td class="desc">Implemented this for printing to stream </td></tr>
+<tr id="row_115_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html" target="_self">Eigen::internal::significant_decimals_default_impl&lt; stan::math::var, false &gt;</a></td><td class="desc">Implemented this for printing to stream </td></tr>
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+<tr id="row_117_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1size__of__helper_3_01_t_00_01true_01_4.html" target="_self">stan::size_of_helper&lt; T, true &gt;</a></td><td class="desc"></td></tr>
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+<tr id="row_119_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1store__type.html" target="_self">stan::math::store_type&lt; T &gt;</a></td><td class="desc"></td></tr>
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+<tr id="row_121_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1store__type.html" target="_self">stan::math::store_type&lt; Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="desc"></td></tr>
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+<tr id="row_123_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1store__type.html" target="_self">stan::math::store_type&lt; Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></td><td class="desc"></td></tr>
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+<tr id="row_125_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1store__type.html" target="_self">stan::math::store_type&lt; S &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_126_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1store__type.html" target="_self">stan::math::store_type&lt; std::vector&lt; int &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_127_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1store__type.html" target="_self">stan::math::store_type&lt; std::vector&lt; S &gt; &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_128_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1store__type.html" target="_self">stan::math::store_type&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt;</a></td><td class="desc"></td></tr>
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+<tr id="row_130_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1value__type.html" target="_self">stan::math::value_type&lt; T &gt;</a></td><td class="desc">Primary template class for metaprogram to compute the type of values stored in a container </td></tr>
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+<tr id="row_133_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html" target="_self">stan::math::value_type&lt; std::vector&lt; T &gt; &gt;</a></td><td class="desc">Template metaprogram class to compute the type of values stored in a standard vector </td></tr>
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+<tr id="row_137_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_builder_helper.html" target="_self">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a></td><td class="desc"><a class="el" href="classstan_1_1_vector_builder.html" title="VectorBuilder allocates type T1 values to be used as intermediate values. ">VectorBuilder</a> allocates type T1 values to be used as intermediate values </td></tr>
+<tr id="row_138_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01false_01_4.html" target="_self">stan::VectorBuilderHelper&lt; T1, true, false &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_139_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_builder_helper_3_01_t1_00_01true_00_01true_01_4.html" target="_self">stan::VectorBuilderHelper&lt; T1, true, true &gt;</a></td><td class="desc">Template specialization for using a vector </td></tr>
+<tr id="row_140_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_builder_helper.html" target="_self">stan::VectorBuilderHelper&lt; T1, used, stan::contains_vector&lt; T2, T3, T4, T5, T6, T7 &gt;::value &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_141_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; T, is_array, throw_if_accessed &gt;</a></td><td class="desc"><a class="el" href="classstan_1_1_vector_view.html" title="VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. ">VectorView</a> is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using <code>operator[]</code> </td></tr>
+<tr id="row_142_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html" target="_self">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_143_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view_3_01const_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html" target="_self">stan::VectorView&lt; const std::vector&lt; T &gt;, true, false &gt;</a></td><td class="desc"></td></tr>
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+<tr id="row_145_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; double, stan::is_vector&lt; T2 &gt;::value, stan::is_constant_struct&lt; T2 &gt;::value &gt;</a></td><td class="desc"></td></tr>
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+<tr id="row_147_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; double, stan::is_vector&lt; T4 &gt;::value, stan::is_constant_struct&lt; T4 &gt;::value &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_148_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; double, stan::is_vector&lt; T5 &gt;::value, stan::is_constant_struct&lt; T5 &gt;::value &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_149_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; double, stan::is_vector&lt; T6 &gt;::value, stan::is_constant_struct&lt; T6 &gt;::value &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_150_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html" target="_self">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_151_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view_3_01std_1_1vector_3_01_t_01_4_00_01true_00_01false_01_4.html" target="_self">stan::VectorView&lt; std::vector&lt; T &gt;, true, false &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_152_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01false_00_01false_01_4.html" target="_self">stan::VectorView&lt; T, false, false &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_153_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01is__array_00_01true_01_4.html" target="_self">stan::VectorView&lt; T, is_array, true &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_154_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view_3_01_t_00_01true_00_01false_01_4.html" target="_self">stan::VectorView&lt; T, true, false &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_155_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; T_partials_return, stan::is_vector&lt; T1 &gt;::value, stan::is_constant_struct&lt; T1 &gt;::value &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_156_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; T_partials_return, stan::is_vector&lt; T2 &gt;::value, stan::is_constant_struct&lt; T2 &gt;::value &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_157_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; T_partials_return, stan::is_vector&lt; T3 &gt;::value, stan::is_constant_struct&lt; T3 &gt;::value &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_158_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; T_partials_return, stan::is_vector&lt; T4 &gt;::value, stan::is_constant_struct&lt; T4 &gt;::value &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_159_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; T_partials_return, stan::is_vector&lt; T5 &gt;::value, stan::is_constant_struct&lt; T5 &gt;::value &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_160_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; T_partials_return, stan::is_vector&lt; T6 &gt;::value, stan::is_constant_struct&lt; T6 &gt;::value &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_161_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view.html" target="_self">stan::VectorView&lt; T_return_type, false, true &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_162_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view_mvt.html" target="_self">stan::VectorViewMvt&lt; T, is_array, throw_if_accessed &gt;</a></td><td class="desc"></td></tr>
+<tr id="row_163_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1_vector_view_mvt_3_01const_01_t_00_01is__array_00_01throw__if__accessed_01_4.html" target="_self">stan::VectorViewMvt&lt; const T, is_array, throw_if_accessed &gt;</a></td><td class="desc"><a class="el" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt</a> that has const correctness </td></tr>
+<tr id="row_164_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1welford__covar__estimator.html" target="_self">stan::math::welford_covar_estimator</a></td><td class="desc"></td></tr>
+<tr id="row_165_"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><span class="icona"><span class="icon">C</span></span><a class="el" href="classstan_1_1math_1_1welford__var__estimator.html" target="_self">stan::math::welford_var_estimator</a></td><td class="desc"></td></tr>
+</table>
+</div><!-- directory -->
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+  <i>&copy; 2011&ndash;2016,
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/distributions.hpp&gt;</code><br />
+</div>
+<p><a href="hypergeometric__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:acf091835ddc913687ab4d34c3eee662e"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_n , typename T_N , typename T_a , typename T_b &gt; </td></tr>
+<tr class="memitem:acf091835ddc913687ab4d34c3eee662e"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acf091835ddc913687ab4d34c3eee662e">stan::math::hypergeometric_log</a> (const T_n &amp;n, const T_N &amp;N, const T_a &amp;a, const T_b &amp;b)</td></tr>
+<tr class="separator:acf091835ddc913687ab4d34c3eee662e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a28d194254677d4503c2f5d7c6c4f6224"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a28d194254677d4503c2f5d7c6c4f6224">stan::math::hypergeometric_log</a> (const T_n &amp;n, const T_N &amp;N, const T_a &amp;a, const T_b &amp;b)</td></tr>
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+<div class="title">hypergeometric_log.hpp</div>  </div>
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+<a href="hypergeometric__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_HYPERGEOMETRIC_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_HYPERGEOMETRIC_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
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+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
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+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(N)</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(a)</div>
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+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
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+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_N&gt;</a> N_vec(N);</div>
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+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, N, a, b);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordtype">double</span> logp(0.0);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Successes variable&quot;</span>, n, 0, a);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">check_greater</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Draws parameter&quot;</span>, N, n);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Draws parameter minus successes variable&quot;</span>,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                      N_vec[i]-n_vec[i], 0, b_vec[i]);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Draws parameter&quot;</span>, N_vec[i], 0,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                      a_vec[i]+b_vec[i]);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      }</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="stringliteral">&quot;Successes variable&quot;</span>, n,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Draws parameter&quot;</span>, N,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Successes in population parameter&quot;</span>, a,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                             <span class="stringliteral">&quot;Failures in population parameter&quot;</span>, b);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        logp += <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">math::binomial_coefficient_log</a>(a_vec[i], n_vec[i])</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          + <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">math::binomial_coefficient_log</a>(b_vec[i], N_vec[i]-n_vec[i])</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          - <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">math::binomial_coefficient_log</a>(a_vec[i]+b_vec[i], N_vec[i]);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordflow">return</span> logp;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    }</div>
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+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n,</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;              <span class="keyword">typename</span> T_N,</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;              <span class="keyword">typename</span> T_a,</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;              <span class="keyword">typename</span> T_b&gt;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a28d194254677d4503c2f5d7c6c4f6224">   86</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#acf091835ddc913687ab4d34c3eee662e">hypergeometric_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                       <span class="keyword">const</span> T_N&amp; N,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                       <span class="keyword">const</span> T_a&amp; a,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                       <span class="keyword">const</span> T_b&amp; b) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordflow">return</span> hypergeometric_log&lt;false&gt;(n, N, a, b);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;  }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;}</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab3ae920ef2089bb1686eb51c3dc153b4"><div class="ttname"><a href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">stan::math::binomial_coefficient_log</a></div><div class="ttdeci">fvar&lt; T &gt; binomial_coefficient_log(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2binomial__coefficient__log_8hpp_source.html#l00016">binomial_coefficient_log.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_acf091835ddc913687ab4d34c3eee662e"><div class="ttname"><a href="namespacestan_1_1math.html#acf091835ddc913687ab4d34c3eee662e">stan::math::hypergeometric_log</a></div><div class="ttdeci">double hypergeometric_log(const T_n &amp;n, const T_N &amp;N, const T_a &amp;a, const T_b &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="hypergeometric__log_8hpp_source.html#l00029">hypergeometric_log.hpp:29</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="textblock"><code>#include &lt;boost/math/distributions/hypergeometric.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="uniform__rng_8hpp_source.html">stan/math/prim/scal/prob/uniform_rng.hpp</a>&gt;</code><br />
+</div>
+<p><a href="hypergeometric__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a3878889879be4781cc8d560f534ab123"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a3878889879be4781cc8d560f534ab123"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3878889879be4781cc8d560f534ab123">stan::math::hypergeometric_rng</a> (int N, int a, int b, RNG &amp;rng)</td></tr>
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+<div class="title">hypergeometric_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="hypergeometric__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_HYPERGEOMETRIC_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_HYPERGEOMETRIC_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/distributions/hypergeometric.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="uniform__rng_8hpp.html">stan/math/prim/scal/prob/uniform_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3878889879be4781cc8d560f534ab123">   16</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a3878889879be4781cc8d560f534ab123">hypergeometric_rng</a>(<span class="keywordtype">int</span> N, <span class="keywordtype">int</span> a, <span class="keywordtype">int</span> b, RNG&amp; rng) {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">using</span> boost::math::hypergeometric_distribution;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::hypergeometric_rng&quot;</span>);</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Draws parameter&quot;</span>, N, 0, a+b);</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Draws parameter&quot;</span>, N);</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Successes in population parameter&quot;</span>, a);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Failures in population parameter&quot;</span>, b);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      hypergeometric_distribution&lt;&gt; <a class="code" href="namespacestan_1_1math.html#ae86020a972c6efc6b3407c3cfc30f4a6">dist</a>(b, N, a + b);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keywordtype">double</span> u = <a class="code" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">uniform_rng</a>(0.0, 1.0, rng);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#a3f076860549f63d55c0e4985dce78099">min</a> = 0;</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keywordflow">while</span> (min &lt; max) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        <span class="keywordtype">int</span> mid = (min + <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a>) / 2;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="keywordflow">if</span> (cdf(dist, mid + 1) &gt; u)</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;          max = mid;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;          min = mid + 1;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">return</span> min + 1;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  }</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;}</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="uniform__rng_8hpp_html"><div class="ttname"><a href="uniform__rng_8hpp.html">uniform_rng.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a10447d2a77f0fdf32e0adce2546cd3cd"><div class="ttname"><a href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">stan::math::uniform_rng</a></div><div class="ttdeci">double uniform_rng(const double alpha, const double beta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="uniform__rng_8hpp_source.html#l00021">uniform_rng.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5da0ef87756d3dbd20ca4ff5a3efa10d"><div class="ttname"><a href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">stan::math::max</a></div><div class="ttdeci">int max(const std::vector&lt; int &gt; &amp;x)</div><div class="ttdoc">Returns the maximum coefficient in the specified column vector. </div><div class="ttdef"><b>Definition:</b> <a href="max_8hpp_source.html#l00021">max.hpp:21</a></div></div>
+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae86020a972c6efc6b3407c3cfc30f4a6"><div class="ttname"><a href="namespacestan_1_1math.html#ae86020a972c6efc6b3407c3cfc30f4a6">stan::math::dist</a></div><div class="ttdeci">double dist(const std::vector&lt; double &gt; &amp;x, const std::vector&lt; double &gt; &amp;y)</div><div class="ttdef"><b>Definition:</b> <a href="dist_8hpp_source.html#l00011">dist.hpp:11</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3878889879be4781cc8d560f534ab123"><div class="ttname"><a href="namespacestan_1_1math.html#a3878889879be4781cc8d560f534ab123">stan::math::hypergeometric_rng</a></div><div class="ttdeci">int hypergeometric_rng(int N, int a, int b, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="hypergeometric__rng_8hpp_source.html#l00016">hypergeometric_rng.hpp:16</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+<tr class="memitem:afa7ea9a437cf38e48ec72cec173d7465"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:afa7ea9a437cf38e48ec72cec173d7465"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afa7ea9a437cf38e48ec72cec173d7465">stan::math::identity_constrain</a> (T x)</td></tr>
+<tr class="memdesc:afa7ea9a437cf38e48ec72cec173d7465"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the result of applying the identity constraint transform to the input.  <a href="namespacestan_1_1math.html#afa7ea9a437cf38e48ec72cec173d7465">More...</a><br /></td></tr>
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+<tr class="memdesc:a7925ed2737df76a38ae17c13f85e9141"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the result of applying the identity constraint transform to the input and increments the log probability reference with the log absolute Jacobian determinant.  <a href="namespacestan_1_1math.html#a7925ed2737df76a38ae17c13f85e9141">More...</a><br /></td></tr>
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+<tr class="memitem:ac50a1ae328bd1f7195b0c77a16a684ab"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac50a1ae328bd1f7195b0c77a16a684ab">stan::math::identity_free</a> (const T y)</td></tr>
+<tr class="memdesc:ac50a1ae328bd1f7195b0c77a16a684ab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the result of applying the inverse of the identity constraint transform to the input.  <a href="namespacestan_1_1math.html#ac50a1ae328bd1f7195b0c77a16a684ab">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac50a1ae328bd1f7195b0c77a16a684ab"><div class="ttname"><a href="namespacestan_1_1math.html#ac50a1ae328bd1f7195b0c77a16a684ab">stan::math::identity_free</a></div><div class="ttdeci">T identity_free(const T y)</div><div class="ttdoc">Returns the result of applying the inverse of the identity constraint transform to the input...</div><div class="ttdef"><b>Definition:</b> <a href="identity__free_8hpp_source.html#l00021">identity_free.hpp:21</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__ddb_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_ddb.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
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+<p><a href="inc__beta__dda_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:afc99a6a1e74fd1daeab96f7eeb3b05a8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:afc99a6a1e74fd1daeab96f7eeb3b05a8"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">stan::math::inc_beta_ddb</a> (T a, T b, T z, T digamma_b, T digamma_ab)</td></tr>
+<tr class="memdesc:afc99a6a1e74fd1daeab96f7eeb3b05a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to b.  <a href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">More...</a><br /></td></tr>
+<tr class="separator:afc99a6a1e74fd1daeab96f7eeb3b05a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9c265eb14e915edc9bd457e93aaaf166"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9c265eb14e915edc9bd457e93aaaf166"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">stan::math::inc_beta_dda</a> (T a, T b, T z, T digamma_a, T digamma_ab)</td></tr>
+<tr class="memdesc:a9c265eb14e915edc9bd457e93aaaf166"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to a.  <a href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">More...</a><br /></td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_d0eeba40b2c7a8671625898b9437b305.html">fun</a></li>  </ul>
+</div>
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+<div class="title">inc_beta_dda.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="inc__beta__dda_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_INC_BETA_DDA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_INC_BETA_DDA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__ddb_8hpp.html">stan/math/prim/scal/fun/inc_beta_ddb.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    T <a class="code" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">inc_beta_ddb</a>(T a, T b, T z,</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;                   T digamma_b, T digamma_ab);</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">   39</a></span>&#160;    T <a class="code" href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">inc_beta_dda</a>(T a, T b, T z,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                   T digamma_a, T digamma_ab) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> (b &gt; a)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">if</span> ((0.1 &lt; z &amp;&amp; z &lt;= 0.75 &amp;&amp; b &gt; 500)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            || (0.01 &lt; z &amp;&amp; z &lt;= 0.1 &amp;&amp; b &gt; 2500)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            || (0.001 &lt; z &amp;&amp; z &lt;= 0.01 &amp;&amp; b &gt; 1e5))</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;          <span class="keywordflow">return</span> -<a class="code" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">inc_beta_ddb</a>(b, a, 1 - z, digamma_a, digamma_ab);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keywordflow">if</span> (z &gt; 0.75 &amp;&amp; a &lt; 500)</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keywordflow">return</span> -<a class="code" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">inc_beta_ddb</a>(b, a, 1 - z, digamma_a, digamma_ab);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordflow">if</span> (z &gt; 0.9 &amp;&amp; a &lt; 2500)</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordflow">return</span> -<a class="code" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">inc_beta_ddb</a>(b, a, 1 - z, digamma_a, digamma_ab);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">if</span> (z &gt; 0.99 &amp;&amp; a &lt; 1e5)</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="keywordflow">return</span> -<a class="code" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">inc_beta_ddb</a>(b, a, 1 - z, digamma_a, digamma_ab);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">if</span> (z &gt; 0.999)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keywordflow">return</span> -<a class="code" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">inc_beta_ddb</a>(b, a, 1 - z, digamma_a, digamma_ab);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordtype">double</span> threshold = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-10;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      digamma_a += 1.0 / a;  <span class="comment">// Need digamma(a + 1), not digamma(a);</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// Common prefactor to regularize numerator and denomentator</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      T prefactor = (a + 1) / (a + b);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      prefactor = prefactor * prefactor * prefactor;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      T sum_numer = (digamma_ab - digamma_a) * prefactor;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      T sum_denom = prefactor;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      T summand = prefactor * z * (a + b) / (a + 1);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      T k = 1;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      digamma_ab += 1.0 / (a + b);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      digamma_a += 1.0 / (a + 1);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordflow">while</span> (<a class="code" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">fabs</a>(summand) &gt; threshold) {</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        sum_numer += (digamma_ab - digamma_a) * summand;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        sum_denom += summand;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        summand *= (1 + (a + b) / k) * (1 + k) / (1 + (a + 1) / k);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        digamma_ab += 1.0 / (a + b + k);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        digamma_a += 1.0 / (a + 1 + k);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        ++k;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        summand *= z / k;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">if</span> (k &gt; 1e5)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;stan::math::inc_beta_dda did &quot;</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                                  <span class="stringliteral">&quot;not converge within 100000 iterations&quot;</span>);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      }</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(a, b, z) * (<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(z) + sum_numer / sum_denom);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;  }  <span class="comment">// math</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;}   <span class="comment">// stan</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6c79c9be5c64873b74f3c6924fef6911"><div class="ttname"><a href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">stan::math::fabs</a></div><div class="ttdeci">fvar&lt; T &gt; fabs(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fabs_8hpp_source.html#l00014">fabs.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9c265eb14e915edc9bd457e93aaaf166"><div class="ttname"><a href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">stan::math::inc_beta_dda</a></div><div class="ttdeci">T inc_beta_dda(T a, T b, T z, T digamma_a, T digamma_ab)</div><div class="ttdoc">Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to a. </div><div class="ttdef"><b>Definition:</b> <a href="inc__beta__dda_8hpp_source.html#l00039">inc_beta_dda.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_afc99a6a1e74fd1daeab96f7eeb3b05a8"><div class="ttname"><a href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">stan::math::inc_beta_ddb</a></div><div class="ttdeci">T inc_beta_ddb(T a, T b, T z, T digamma_b, T digamma_ab)</div><div class="ttdoc">Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to b. </div><div class="ttdef"><b>Definition:</b> <a href="inc__beta__ddb_8hpp_source.html#l00039">inc_beta_ddb.hpp:39</a></div></div>
+<div class="ttc" id="inc__beta__ddb_8hpp_html"><div class="ttname"><a href="inc__beta__ddb_8hpp.html">inc_beta_ddb.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__dda_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_dda.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="inc__beta__ddb_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a9c265eb14e915edc9bd457e93aaaf166"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9c265eb14e915edc9bd457e93aaaf166"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">stan::math::inc_beta_dda</a> (T a, T b, T z, T digamma_a, T digamma_ab)</td></tr>
+<tr class="memdesc:a9c265eb14e915edc9bd457e93aaaf166"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to a.  <a href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">More...</a><br /></td></tr>
+<tr class="separator:a9c265eb14e915edc9bd457e93aaaf166"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afc99a6a1e74fd1daeab96f7eeb3b05a8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:afc99a6a1e74fd1daeab96f7eeb3b05a8"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">stan::math::inc_beta_ddb</a> (T a, T b, T z, T digamma_b, T digamma_ab)</td></tr>
+<tr class="memdesc:afc99a6a1e74fd1daeab96f7eeb3b05a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to b.  <a href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">More...</a><br /></td></tr>
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+<div class="title">inc_beta_ddb.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="inc__beta__ddb_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_INC_BETA_DDB_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_INC_BETA_DDB_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__dda_8hpp.html">stan/math/prim/scal/fun/inc_beta_dda.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    T <a class="code" href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">inc_beta_dda</a>(T a, T b, T z,</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;                   T digamma_a, T digamma_ab);</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">   39</a></span>&#160;    T <a class="code" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">inc_beta_ddb</a>(T a, T b, T z,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                   T digamma_b, T digamma_ab) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> (b &gt; a)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">if</span> ((0.1 &lt; z &amp;&amp; z &lt;= 0.75 &amp;&amp; b &gt; 500)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            || (0.01 &lt; z &amp;&amp; z &lt;= 0.1 &amp;&amp; b &gt; 2500)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            || (0.001 &lt; z &amp;&amp; z &lt;= 0.01 &amp;&amp; b &gt; 1e5))</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;          <span class="keywordflow">return</span> -<a class="code" href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">inc_beta_dda</a>(b, a, 1 - z, digamma_b, digamma_ab);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keywordflow">if</span> ((z &gt; 0.75 &amp;&amp; a &lt; 500)</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          || (z &gt; 0.9 &amp;&amp; a &lt; 2500)</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;          || (z &gt; 0.99 &amp;&amp; a &lt; 1e5)</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;          || (z &gt; 0.999))</div>
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+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordtype">double</span> threshold = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-10;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="comment">// Common prefactor to regularize numerator and denomentator</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      T prefactor = (a + 1) / (a + b);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      prefactor = prefactor * prefactor * prefactor;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
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+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
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+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      T k = 1;</div>
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+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
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+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        sum_numer += digamma_ab * summand;</div>
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+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        summand *= (1 + (a + b) / k) * (1 + k) / (1 + (a + 1) / k);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        digamma_ab += 1.0 / (a + b + k);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        ++k;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        summand *= z / k;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keywordflow">if</span> (k &gt; 1e5)</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;          <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;stan::math::inc_beta_ddb did &quot;</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                                  <span class="stringliteral">&quot;not converge within 100000 iterations&quot;</span>);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(a, b, z)</div>
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+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
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+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/beta.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="inc__beta__ddz_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a2412f96d2114b4c15efb1ddbddaef35b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a2412f96d2114b4c15efb1ddbddaef35b"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2412f96d2114b4c15efb1ddbddaef35b">stan::math::inc_beta_ddz</a> (T a, T b, T z)</td></tr>
+<tr class="memdesc:a2412f96d2114b4c15efb1ddbddaef35b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to z.  <a href="namespacestan_1_1math.html#a2412f96d2114b4c15efb1ddbddaef35b">More...</a><br /></td></tr>
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+<tr class="memitem:a3e5957e2cb19140e6c7bacf5c68320b7"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
+<tr class="memitem:a3e5957e2cb19140e6c7bacf5c68320b7"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3e5957e2cb19140e6c7bacf5c68320b7">stan::math::inc_beta_ddz</a> (double a, double b, double z)</td></tr>
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+<a href="inc__beta__ddz_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_INC_BETA_DERIVATIVES_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_INC_BETA_DERIVATIVES_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/beta.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a2412f96d2114b4c15efb1ddbddaef35b">   27</a></span>&#160;    T <a class="code" href="namespacestan_1_1math.html#a2412f96d2114b4c15efb1ddbddaef35b">inc_beta_ddz</a>(T a, T b, T z) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>((b - 1) * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(1 - z) + (a - 1) * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(z)</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                 + <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(a + b) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(a) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(b));</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    }</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">template</span> &lt;&gt;</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> boost::math::ibeta_derivative;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">return</span> ibeta_derivative(a, b, z);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  }  <span class="comment">// math</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;}   <span class="comment">// stan</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2412f96d2114b4c15efb1ddbddaef35b"><div class="ttname"><a href="namespacestan_1_1math.html#a2412f96d2114b4c15efb1ddbddaef35b">stan::math::inc_beta_ddz</a></div><div class="ttdeci">T inc_beta_ddz(T a, T b, T z)</div><div class="ttdoc">Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to z. </div><div class="ttdef"><b>Definition:</b> <a href="inc__beta__ddz_8hpp_source.html#l00027">inc_beta_ddz.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="is__constant_8hpp_source.html">stan/math/prim/scal/meta/is_constant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+</div>
+<p><a href="include__summand_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand&lt; propto, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10 &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) probability calculation.  <a href="structstan_1_1math_1_1include__summand.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="include__summand_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_INCLUDE_SUMMAND_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_INCLUDE_SUMMAND_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="is__constant_8hpp.html">stan/math/prim/scal/meta/is_constant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2scalar__type_8hpp.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;              <span class="keyword">typename</span> T1 = double, <span class="keyword">typename</span> T2 = double,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;              <span class="keyword">typename</span> T3 = double, <span class="keyword">typename</span> T4 = double,</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/type_traits/is_arithmetic.hpp&gt;</code><br />
+<code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:af81e05dfd6918524dafff10715f21a8d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:af81e05dfd6918524dafff10715f21a8d"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af81e05dfd6918524dafff10715f21a8d">stan::math::initialize</a> (T &amp;x, const T &amp;v)</td></tr>
+<tr class="separator:af81e05dfd6918524dafff10715f21a8d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a5ad7882cc7a7e2e07016e006d2092427"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; boost::is_arithmetic&lt; V &gt;::value, void &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5ad7882cc7a7e2e07016e006d2092427">stan::math::initialize</a> (T &amp;x, V v)</td></tr>
+<tr class="separator:a5ad7882cc7a7e2e07016e006d2092427"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:ad27706378f77dc22746ad74721d495d4"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad27706378f77dc22746ad74721d495d4">stan::math::initialize</a> (std::vector&lt; T &gt; &amp;x, const V &amp;v)</td></tr>
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+<a href="initialize_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_INITIALIZE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits/is_arithmetic.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/utility/enable_if.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af81e05dfd6918524dafff10715f21a8d"><div class="ttname"><a href="namespacestan_1_1math.html#af81e05dfd6918524dafff10715f21a8d">stan::math::initialize</a></div><div class="ttdeci">void initialize(T &amp;x, const T &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="initialize_8hpp_source.html#l00017">initialize.hpp:17</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<p><a href="initialize__variable_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aebdf0a5cd40134110da3230d6fdea989"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aebdf0a5cd40134110da3230d6fdea989">stan::math::initialize_variable</a> (var &amp;variable, const var &amp;value)</td></tr>
+<tr class="memdesc:aebdf0a5cd40134110da3230d6fdea989"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize variable to value.  <a href="namespacestan_1_1math.html#aebdf0a5cd40134110da3230d6fdea989">More...</a><br /></td></tr>
+<tr class="separator:aebdf0a5cd40134110da3230d6fdea989"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad1bb474a393fa5277ff69c9498cb3809"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:ad1bb474a393fa5277ff69c9498cb3809"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad1bb474a393fa5277ff69c9498cb3809">stan::math::initialize_variable</a> (Eigen::Matrix&lt; var, R, C &gt; &amp;matrix, const var &amp;value)</td></tr>
+<tr class="memdesc:ad1bb474a393fa5277ff69c9498cb3809"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize every cell in the matrix to the specified value.  <a href="namespacestan_1_1math.html#ad1bb474a393fa5277ff69c9498cb3809">More...</a><br /></td></tr>
+<tr class="separator:ad1bb474a393fa5277ff69c9498cb3809"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ada62635d3e2320c9e36ac59a1c4bbdb0"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ada62635d3e2320c9e36ac59a1c4bbdb0"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ada62635d3e2320c9e36ac59a1c4bbdb0">stan::math::initialize_variable</a> (std::vector&lt; T &gt; &amp;variables, const var &amp;value)</td></tr>
+<tr class="memdesc:ada62635d3e2320c9e36ac59a1c4bbdb0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the variables in the standard vector recursively.  <a href="namespacestan_1_1math.html#ada62635d3e2320c9e36ac59a1c4bbdb0">More...</a><br /></td></tr>
+<tr class="separator:ada62635d3e2320c9e36ac59a1c4bbdb0"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="initialize__variable_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_INITIALIZE_VARIABLE_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+Functions</h2></td></tr>
+<tr class="memitem:a8c507cff4b7b473cd86e1d428fb03136"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8c507cff4b7b473cd86e1d428fb03136"><td class="memTemplItemLeft" align="right" valign="top">unsigned int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8c507cff4b7b473cd86e1d428fb03136">stan::math::int_step</a> (const T y)</td></tr>
+<tr class="memdesc:a8c507cff4b7b473cd86e1d428fb03136"><td class="mdescLeft">&#160;</td><td class="mdescRight">The integer step, or Heaviside, function.  <a href="namespacestan_1_1math.html#a8c507cff4b7b473cd86e1d428fb03136">More...</a><br /></td></tr>
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+<a href="int__step_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_INT_STEP_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8c507cff4b7b473cd86e1d428fb03136"><div class="ttname"><a href="namespacestan_1_1math.html#a8c507cff4b7b473cd86e1d428fb03136">stan::math::int_step</a></div><div class="ttdeci">unsigned int int_step(const T y)</div><div class="ttdoc">The integer step, or Heaviside, function. </div><div class="ttdef"><b>Definition:</b> <a href="int__step_8hpp_source.html#l00025">int_step.hpp:25</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2arr_2fun_2value__of_8hpp_source.html">stan/math/prim/arr/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2err_2check__ordered_8hpp_source.html">stan/math/prim/arr/err/check_ordered.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cvodes__utils_8hpp_source.html">stan/math/rev/mat/functor/cvodes_utils.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cvodes__ode__data_8hpp_source.html">stan/math/rev/mat/functor/cvodes_ode_data.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="decouple__ode__states_8hpp_source.html">stan/math/rev/arr/fun/decouple_ode_states.hpp</a>&gt;</code><br />
+<code>#include &lt;cvodes/cvodes.h&gt;</code><br />
+<code>#include &lt;cvodes/cvodes_band.h&gt;</code><br />
+<code>#include &lt;cvodes/cvodes_dense.h&gt;</code><br />
+<code>#include &lt;nvector/nvector_serial.h&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;ostream&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="integrate__ode__bdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a77292bb0c64aa3243c86437cae645ea2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a77292bb0c64aa3243c86437cae645ea2">stan::math::free_cvodes_memory</a> (N_Vector &amp;cvodes_state, N_Vector *cvodes_state_sens, void *cvodes_mem, size_t S)</td></tr>
+<tr class="memdesc:a77292bb0c64aa3243c86437cae645ea2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Free memory allocated for CVODES state, sensitivity, and general memory.  <a href="namespacestan_1_1math.html#a77292bb0c64aa3243c86437cae645ea2">More...</a><br /></td></tr>
+<tr class="separator:a77292bb0c64aa3243c86437cae645ea2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8e22309832ef6310a05a7f378562e330"><td class="memTemplParams" colspan="2">template&lt;typename F , typename T_initial , typename T_param &gt; </td></tr>
+<tr class="memitem:a8e22309832ef6310a05a7f378562e330"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt; T_initial, T_param &gt;::type &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8e22309832ef6310a05a7f378562e330">stan::math::integrate_ode_bdf</a> (const F &amp;f, const std::vector&lt; T_initial &gt; &amp;y0, const double t0, const std::vector&lt; double &gt; &amp;ts, const std::vector&lt; T_param &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs=0, double relative_tolerance=1e-10, double absolute_tolerance=1e-10, long int max_num_steps=1e8)</td></tr>
+<tr class="memdesc:a8e22309832ef6310a05a7f378562e330"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the solutions for the specified system of ordinary differential equations given the specified initial state, initial times, times of desired solution, and parameters and data, writing error and warning messages to the specified stream.  <a href="namespacestan_1_1math.html#a8e22309832ef6310a05a7f378562e330">More...</a><br /></td></tr>
+<tr class="separator:a8e22309832ef6310a05a7f378562e330"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+</div><!-- contents -->
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_1dcd98e7c4f45b41e0c83c911c6e550e.html">mat</a></li><li class="navelem"><a class="el" href="dir_655080d40d13dc2f4492986545ac5303.html">functor</a></li>  </ul>
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+<div class="title">integrate_ode_bdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="integrate__ode__bdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUNCTOR_INTEGRATE_ODE_BDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUNCTOR_INTEGRATE_ODE_BDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2arr_2fun_2value__of_8hpp.html">stan/math/prim/arr/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2err_2check__ordered_8hpp.html">stan/math/prim/arr/err/check_ordered.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2is__var_8hpp.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cvodes__utils_8hpp.html">stan/math/rev/mat/functor/cvodes_utils.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cvodes__ode__data_8hpp.html">stan/math/rev/mat/functor/cvodes_ode_data.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="decouple__ode__states_8hpp.html">stan/math/rev/arr/fun/decouple_ode_states.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;cvodes/cvodes.h&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;cvodes/cvodes_band.h&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;cvodes/cvodes_dense.h&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;nvector/nvector_serial.h&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;ostream&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a77292bb0c64aa3243c86437cae645ea2">   34</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#a77292bb0c64aa3243c86437cae645ea2">free_cvodes_memory</a>(N_Vector&amp; cvodes_state,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                                   N_Vector* cvodes_state_sens,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                                   <span class="keywordtype">void</span>* cvodes_mem, <span class="keywordtype">size_t</span> S) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      N_VDestroy_Serial(cvodes_state);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">if</span> (cvodes_state_sens != NULL)</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        N_VDestroyVectorArray_Serial(cvodes_state_sens, S);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      CVodeFree(&amp;cvodes_mem);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F, <span class="keyword">typename</span> T_initial, <span class="keyword">typename</span> T_param&gt;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    std::vector&lt;std::vector&lt;<span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T_initial,</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                                                       T_param&gt;::type&gt; &gt;</div>
+<div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8e22309832ef6310a05a7f378562e330">   83</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a8e22309832ef6310a05a7f378562e330">integrate_ode_bdf</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                      <span class="keyword">const</span> std::vector&lt;T_initial&gt;&amp; y0,</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                      <span class="keyword">const</span> <span class="keywordtype">double</span> t0,</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                      <span class="keyword">const</span> std::vector&lt;double&gt;&amp; ts,</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                      <span class="keyword">const</span> std::vector&lt;T_param&gt;&amp; theta,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                      <span class="keyword">const</span> std::vector&lt;double&gt;&amp; x,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                      <span class="keyword">const</span> std::vector&lt;int&gt;&amp; x_int,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                      std::ostream* msgs = 0,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                      <span class="keywordtype">double</span> relative_tolerance = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-10,</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                      <span class="keywordtype">double</span> absolute_tolerance = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-10,</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                      <span class="keywordtype">long</span> <span class="keywordtype">int</span> max_num_steps = 1e8) {  <span class="comment">// NOLINT(runtime/int)</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keyword">typedef</span> <a class="code" href="structstan_1_1is__var.html">stan::is_var&lt;T_initial&gt;</a> initial_var;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keyword">typedef</span> <a class="code" href="structstan_1_1is__var.html">stan::is_var&lt;T_param&gt;</a> param_var;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>, <span class="stringliteral">&quot;initial state&quot;</span>, y0);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>, <span class="stringliteral">&quot;initial time&quot;</span>, t0);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>, <span class="stringliteral">&quot;times&quot;</span>, ts);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>, <span class="stringliteral">&quot;parameter vector&quot;</span>, theta);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>, <span class="stringliteral">&quot;continuous data&quot;</span>, x);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>, <span class="stringliteral">&quot;times&quot;</span>, ts);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>, <span class="stringliteral">&quot;initial state&quot;</span>, y0);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af55e7669a804e68bc9d39ecd06318b23">stan::math::check_ordered</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>, <span class="stringliteral">&quot;times&quot;</span>, ts);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math::check_less</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>, <span class="stringliteral">&quot;initial time&quot;</span>, t0, ts[0]);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="keywordflow">if</span> (relative_tolerance &lt;= 0)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">invalid_argument</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>,</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                         <span class="stringliteral">&quot;relative_tolerance,&quot;</span>, relative_tolerance,</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                         <span class="stringliteral">&quot;&quot;</span>, <span class="stringliteral">&quot;, must be greater than 0&quot;</span>);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keywordflow">if</span> (absolute_tolerance &lt;= 0)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">invalid_argument</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>,</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;                         <span class="stringliteral">&quot;absolute_tolerance,&quot;</span>, absolute_tolerance,</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                         <span class="stringliteral">&quot;&quot;</span>, <span class="stringliteral">&quot;, must be greater than 0&quot;</span>);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="keywordflow">if</span> (max_num_steps &lt;= 0)</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">invalid_argument</a>(<span class="stringliteral">&quot;integrate_ode_bdf&quot;</span>,</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                         <span class="stringliteral">&quot;max_num_steps,&quot;</span>, max_num_steps,</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;                         <span class="stringliteral">&quot;&quot;</span>, <span class="stringliteral">&quot;, must be greater than 0&quot;</span>);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> N = y0.size();</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> M = theta.size();</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <span class="comment">// total number of sensitivities for initial values and params</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> S = (initial_var::value ? N : 0)</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        + (param_var::value ? M : 0);</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = N * (S + 1);  <span class="comment">// size of the coupled system</span></div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      std::vector&lt;double&gt; state(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y0));</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      N_Vector cvodes_state(N_VMake_Serial(N, &amp;state[0]));</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      N_Vector* cvodes_state_sens = NULL;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      <span class="keyword">typedef</span> <a class="code" href="classstan_1_1math_1_1cvodes__ode__data.html">cvodes_ode_data&lt;F, T_initial, T_param&gt;</a> ode_data;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      ode_data cvodes_data(f, y0, theta, x, x_int, msgs);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;      <span class="keywordtype">void</span>* cvodes_mem = CVodeCreate(CV_BDF, CV_NEWTON);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      <span class="keywordflow">if</span> (cvodes_mem == NULL)</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="keywordflow">throw</span> std::runtime_error(<span class="stringliteral">&quot;CVodeCreate failed to allocate memory&quot;</span>);</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;      std::vector&lt;std::vector&lt;double&gt; &gt;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        y_coupled(ts.size(), std::vector&lt;double&gt;(<a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>, 0));</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordflow">try</span> {</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">cvodes_check_flag</a>(CVodeInit(cvodes_mem, &amp;ode_data::ode_rhs,</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;                                    t0, cvodes_state),</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                          <span class="stringliteral">&quot;CVodeInit&quot;</span>);</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        <span class="comment">// Assign pointer to this as user data</span></div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">cvodes_check_flag</a>(CVodeSetUserData(cvodes_mem,</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;                                   reinterpret_cast&lt;void*&gt;(&amp;cvodes_data)),</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;                          <span class="stringliteral">&quot;CVodeSetUserData&quot;</span>);</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a04f90e73bf6b6aee8376e29eca277527">cvodes_set_options</a>(cvodes_mem,</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                           relative_tolerance, absolute_tolerance,</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;                           max_num_steps);</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        <span class="comment">// for the stiff solvers we need to reserve additional</span></div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        <span class="comment">// memory and provide a Jacobian function call</span></div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">cvodes_check_flag</a>(CVDense(cvodes_mem, N), <span class="stringliteral">&quot;CVDense&quot;</span>);</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">cvodes_check_flag</a>(CVDlsSetDenseJacFn(cvodes_mem,</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;                                             &amp;ode_data::dense_jacobian),</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;                          <span class="stringliteral">&quot;CVDlsSetDenseJacFn&quot;</span>);</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;        <span class="comment">// initialize forward sensitivity system of CVODES as needed</span></div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;        <span class="keywordflow">if</span> (S &gt; 0) {</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;          cvodes_state_sens = N_VCloneVectorArray_Serial(S, cvodes_state);</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> s = 0; s &lt; S; s++)</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;            N_VConst(RCONST(0.0), cvodes_state_sens[s]);</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;          <span class="comment">// for varying initials, first N sensitivity systems</span></div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;          <span class="comment">// are for initials which have as initial the identity matrix</span></div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;          <span class="keywordflow">if</span> (initial_var::value) {</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++)</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;              NV_Ith_S(cvodes_state_sens[n], n) = 1.0;</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;          }</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;          <a class="code" href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">cvodes_check_flag</a>(CVodeSensInit(cvodes_mem, static_cast&lt;int&gt;(S),</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;                                          CV_STAGGERED,</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;                                          &amp;ode_data::ode_rhs_sens,</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;                                          cvodes_state_sens),</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;                            <span class="stringliteral">&quot;CVodeSensInit&quot;</span>);</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;          <a class="code" href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">cvodes_check_flag</a>(CVodeSensEEtolerances(cvodes_mem),</div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;                            <span class="stringliteral">&quot;CVodeSensEEtolerances&quot;</span>);</div>
+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        }</div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;</div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;        <span class="keywordtype">double</span> t_init = t0;</div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; ts.size(); ++n) {</div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;          <span class="keywordtype">double</span> t_final = ts[n];</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;          <span class="keywordflow">if</span> (t_final != t_init)</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;            <a class="code" href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">cvodes_check_flag</a>(CVode(cvodes_mem, t_final, cvodes_state,</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;                                    &amp;t_init, CV_NORMAL),</div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;                              <span class="stringliteral">&quot;CVode&quot;</span>);</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;          std::copy(state.begin(), state.end(), y_coupled[n].begin());</div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;          <span class="keywordflow">if</span> (S &gt; 0) {</div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;            <a class="code" href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">cvodes_check_flag</a>(CVodeGetSens(cvodes_mem, &amp;t_init,</div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;                                           cvodes_state_sens),</div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;                              <span class="stringliteral">&quot;CVodeGetSens&quot;</span>);</div>
+<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> s = 0; s &lt; S; s++)</div>
+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;              std::copy(NV_DATA_S(cvodes_state_sens[s]),</div>
+<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;                        NV_DATA_S(cvodes_state_sens[s]) + N,</div>
+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;                        y_coupled[n].begin() + N + s * N);</div>
+<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;          }</div>
+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;          t_init = t_final;</div>
+<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;        }</div>
+<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;      } <span class="keywordflow">catch</span> (<span class="keyword">const</span> std::exception&amp; <a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>) {</div>
+<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a77292bb0c64aa3243c86437cae645ea2">free_cvodes_memory</a>(cvodes_state, cvodes_state_sens, cvodes_mem, S);</div>
+<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;        <span class="keywordflow">throw</span>;</div>
+<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;      }</div>
+<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;</div>
+<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a77292bb0c64aa3243c86437cae645ea2">free_cvodes_memory</a>(cvodes_state, cvodes_state_sens, cvodes_mem, S);</div>
+<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;</div>
+<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a07efa0f5060e1cbb91ac02a3936b4a1f">decouple_ode_states</a>(y_coupled, y0, theta);</div>
+<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;    }</div>
+<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;</div>
+<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;  }</div>
+<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;}</div>
+<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_aab225792149dceaec443ce09b93f8744"><div class="ttname"><a href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math::check_less</a></div><div class="ttdeci">bool check_less(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is strictly less than high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less_8hpp_source.html#l00081">check_less.hpp:81</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a04f90e73bf6b6aee8376e29eca277527"><div class="ttname"><a href="namespacestan_1_1math.html#a04f90e73bf6b6aee8376e29eca277527">stan::math::cvodes_set_options</a></div><div class="ttdeci">void cvodes_set_options(void *cvodes_mem, double rel_tol, double abs_tol, long int max_num_steps)</div><div class="ttdef"><b>Definition:</b> <a href="cvodes__utils_8hpp_source.html#l00031">cvodes_utils.hpp:31</a></div></div>
+<div class="ttc" id="prim_2arr_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2arr_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1is__var_html"><div class="ttname"><a href="structstan_1_1is__var.html">stan::is_var</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2is__var_8hpp_source.html#l00007">is_var.hpp:7</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html"><div class="ttname"><a href="structstan_1_1return__type.html">stan::return_type</a></div><div class="ttdoc">Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of...</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00019">return_type.hpp:19</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e22309832ef6310a05a7f378562e330"><div class="ttname"><a href="namespacestan_1_1math.html#a8e22309832ef6310a05a7f378562e330">stan::math::integrate_ode_bdf</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; typename stan::return_type&lt; T_initial, T_param &gt;::type &gt; &gt; integrate_ode_bdf(const F &amp;f, const std::vector&lt; T_initial &gt; &amp;y0, const double t0, const std::vector&lt; double &gt; &amp;ts, const std::vector&lt; T_param &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs=0, double relative_tolerance=1e-10, double absolute_tolerance=1e-10, long int max_num_steps=1e8)</div><div class="ttdoc">Return the solutions for the specified system of ordinary differential equations given the specified ...</div><div class="ttdef"><b>Definition:</b> <a href="integrate__ode__bdf_8hpp_source.html#l00083">integrate_ode_bdf.hpp:83</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a77292bb0c64aa3243c86437cae645ea2"><div class="ttname"><a href="namespacestan_1_1math.html#a77292bb0c64aa3243c86437cae645ea2">stan::math::free_cvodes_memory</a></div><div class="ttdeci">void free_cvodes_memory(N_Vector &amp;cvodes_state, N_Vector *cvodes_state_sens, void *cvodes_mem, size_t S)</div><div class="ttdoc">Free memory allocated for CVODES state, sensitivity, and general memory. </div><div class="ttdef"><b>Definition:</b> <a href="integrate__ode__bdf_8hpp_source.html#l00034">integrate_ode_bdf.hpp:34</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a97c3c23033e47a923ed5ce26a4deeba5"><div class="ttname"><a href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a></div><div class="ttdeci">bool check_nonzero_size(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if the specified matrix/vector is of non-zero size. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonzero__size_8hpp_source.html#l00030">check_nonzero_size.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af55e7669a804e68bc9d39ecd06318b23"><div class="ttname"><a href="namespacestan_1_1math.html#af55e7669a804e68bc9d39ecd06318b23">stan::math::check_ordered</a></div><div class="ttdeci">bool check_ordered(const char *function, const char *name, const std::vector&lt; T_y &gt; &amp;y)</div><div class="ttdoc">Return true if the specified vector is sorted into strictly increasing order. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2err_2check__ordered_8hpp_source.html#l00030">check_ordered.hpp:30</a></div></div>
+<div class="ttc" id="cvodes__utils_8hpp_html"><div class="ttname"><a href="cvodes__utils_8hpp.html">cvodes_utils.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1cvodes__ode__data_html"><div class="ttname"><a href="classstan_1_1math_1_1cvodes__ode__data.html">stan::math::cvodes_ode_data</a></div><div class="ttdoc">CVODES ode data holder object which is used during CVODES integration for CVODES callbacks. </div><div class="ttdef"><b>Definition:</b> <a href="cvodes__ode__data_8hpp_source.html#l00027">cvodes_ode_data.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1eaa439c773642486cf1b19ab721810d"><div class="ttname"><a href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">stan::math::cvodes_check_flag</a></div><div class="ttdeci">void cvodes_check_flag(int flag, const std::string &amp;func_name)</div><div class="ttdef"><b>Definition:</b> <a href="cvodes__utils_8hpp_source.html#l00023">cvodes_utils.hpp:23</a></div></div>
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+<div class="ttc" id="cvodes__ode__data_8hpp_html"><div class="ttname"><a href="cvodes__ode__data_8hpp.html">cvodes_ode_data.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a07efa0f5060e1cbb91ac02a3936b4a1f"><div class="ttname"><a href="namespacestan_1_1math.html#a07efa0f5060e1cbb91ac02a3936b4a1f">stan::math::decouple_ode_states</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; typename stan::return_type&lt; T_initial, T_param &gt;::type &gt; &gt; decouple_ode_states(const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y, const std::vector&lt; T_initial &gt; &amp;y0, const std::vector&lt; T_param &gt; &amp;theta)</div><div class="ttdoc">Takes sensitivity output from integrators and returns results in precomputed_gradients format...</div><div class="ttdef"><b>Definition:</b> <a href="decouple__ode__states_8hpp_source.html#l00038">decouple_ode_states.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="decouple__ode__states_8hpp_html"><div class="ttname"><a href="decouple__ode__states_8hpp.html">decouple_ode_states.hpp</a></div></div>
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+<div class="ttc" id="arr_2err_2check__ordered_8hpp_html"><div class="ttname"><a href="arr_2err_2check__ordered_8hpp.html">check_ordered.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="rev_2scal_2meta_2is__var_8hpp_html"><div class="ttname"><a href="rev_2scal_2meta_2is__var_8hpp.html">is_var.hpp</a></div></div>
+<div class="ttc" id="check__nonzero__size_8hpp_html"><div class="ttname"><a href="check__nonzero__size_8hpp.html">check_nonzero_size.hpp</a></div></div>
+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2err_2check__ordered_8hpp_source.html">stan/math/prim/arr/err/check_ordered.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">stan/math/prim/arr/functor/coupled_ode_system.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="coupled__ode__observer_8hpp_source.html">stan/math/prim/arr/functor/coupled_ode_observer.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="invalid__argument_8hpp_source.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/numeric/odeint.hpp&gt;</code><br />
+<code>#include &lt;ostream&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="integrate__ode__rk45_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a58c5864d8bd873b60b8a377ff1bc515f"><td class="memTemplParams" colspan="2">template&lt;typename F , typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a58c5864d8bd873b60b8a377ff1bc515f"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt; T1, T2 &gt;::type &gt; &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a58c5864d8bd873b60b8a377ff1bc515f">stan::math::integrate_ode_rk45</a> (const F &amp;f, const std::vector&lt; T1 &gt; y0, const double t0, const std::vector&lt; double &gt; &amp;ts, const std::vector&lt; T2 &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs=0, double relative_tolerance=1e-6, double absolute_tolerance=1e-6, int max_num_steps=1E6)</td></tr>
+<tr class="memdesc:a58c5864d8bd873b60b8a377ff1bc515f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the solutions for the specified system of ordinary differential equations given the specified initial state, initial times, times of desired solution, and parameters and data, writing error and warning messages to the specified stream.  <a href="namespacestan_1_1math.html#a58c5864d8bd873b60b8a377ff1bc515f">More...</a><br /></td></tr>
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+<div class="title">integrate_ode_rk45.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="integrate__ode__rk45_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUNCTOR_INTEGRATE_ODE_RK45_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_FUNCTOR_INTEGRATE_ODE_RK45_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2err_2check__ordered_8hpp.html">stan/math/prim/arr/err/check_ordered.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2arr_2functor_2coupled__ode__system_8hpp.html">stan/math/prim/arr/functor/coupled_ode_system.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="coupled__ode__observer_8hpp.html">stan/math/prim/arr/functor/coupled_ode_observer.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="invalid__argument_8hpp.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;boost/numeric/odeint.hpp&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;ostream&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F, <span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    std::vector&lt;std::vector&lt;typename stan::return_type&lt;T1, T2&gt;::type&gt; &gt;</div>
+<div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a58c5864d8bd873b60b8a377ff1bc515f">   67</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a58c5864d8bd873b60b8a377ff1bc515f">integrate_ode_rk45</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                       <span class="keyword">const</span> std::vector&lt;T1&gt; y0,</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                       <span class="keyword">const</span> <span class="keywordtype">double</span> t0,</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                       <span class="keyword">const</span> std::vector&lt;double&gt;&amp; ts,</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                       <span class="keyword">const</span> std::vector&lt;T2&gt;&amp; theta,</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                       <span class="keyword">const</span> std::vector&lt;double&gt;&amp; x,</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                       <span class="keyword">const</span> std::vector&lt;int&gt;&amp; x_int,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                       std::ostream* msgs = 0,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                       <span class="keywordtype">double</span> relative_tolerance = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-6,</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                       <span class="keywordtype">double</span> absolute_tolerance = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-6,</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                       <span class="keywordtype">int</span> max_num_steps = 1E6) {</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">using</span> boost::numeric::odeint::integrate_times;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> boost::numeric::odeint::make_dense_output;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> boost::numeric::odeint::runge_kutta_dopri5;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> boost::numeric::odeint::max_step_checker;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="stringliteral">&quot;integrate_ode_rk45&quot;</span>, <span class="stringliteral">&quot;initial state&quot;</span>, y0);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="stringliteral">&quot;integrate_ode_rk45&quot;</span>, <span class="stringliteral">&quot;initial time&quot;</span>, t0);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="stringliteral">&quot;integrate_ode_rk45&quot;</span>, <span class="stringliteral">&quot;times&quot;</span>, ts);</div>
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+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">check_nonzero_size</a>(<span class="stringliteral">&quot;integrate_ode_rk45&quot;</span>, <span class="stringliteral">&quot;initial state&quot;</span>, y0);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af55e7669a804e68bc9d39ecd06318b23">check_ordered</a>(<span class="stringliteral">&quot;integrate_ode_rk45&quot;</span>, <span class="stringliteral">&quot;times&quot;</span>, ts);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">check_less</a>(<span class="stringliteral">&quot;integrate_ode_rk45&quot;</span>, <span class="stringliteral">&quot;initial time&quot;</span>, t0, ts[0]);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">if</span> (relative_tolerance &lt;= 0)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">invalid_argument</a>(<span class="stringliteral">&quot;integrate_ode_rk45&quot;</span>,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                         <span class="stringliteral">&quot;relative_tolerance,&quot;</span>, relative_tolerance,</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                         <span class="stringliteral">&quot;&quot;</span>, <span class="stringliteral">&quot;, must be greater than 0&quot;</span>);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keywordflow">if</span> (absolute_tolerance &lt;= 0)</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">invalid_argument</a>(<span class="stringliteral">&quot;integrate_ode_rk45&quot;</span>,</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                         <span class="stringliteral">&quot;absolute_tolerance,&quot;</span>, absolute_tolerance,</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                         <span class="stringliteral">&quot;&quot;</span>, <span class="stringliteral">&quot;, must be greater than 0&quot;</span>);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">if</span> (max_num_steps &lt;= 0)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">invalid_argument</a>(<span class="stringliteral">&quot;integrate_ode_rk45&quot;</span>,</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                         <span class="stringliteral">&quot;max_num_steps,&quot;</span>, max_num_steps,</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                         <span class="stringliteral">&quot;&quot;</span>, <span class="stringliteral">&quot;, must be greater than 0&quot;</span>);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="comment">// creates basic or coupled system by template specializations</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <a class="code" href="structstan_1_1math_1_1coupled__ode__system.html">coupled_ode_system&lt;F, T1, T2&gt;</a></div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        coupled_system(f, y0, theta, x, x_int, msgs);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <span class="comment">// first time in the vector must be time of initial state</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      std::vector&lt;double&gt; ts_vec(ts.size() + 1);</div>
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+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; ts.size(); n++)</div>
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+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      std::vector&lt;std::vector&lt;double&gt; &gt; y_coupled(ts_vec.size());</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      <a class="code" href="structstan_1_1math_1_1coupled__ode__observer.html">coupled_ode_observer</a> observer(y_coupled);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="comment">// the coupled system creates the coupled initial state</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      std::vector&lt;double&gt; initial_coupled_state</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        = coupled_system.initial_state();</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> step_size = 0.1;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      integrate_times(make_dense_output(absolute_tolerance,</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                                        relative_tolerance,</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                                        runge_kutta_dopri5&lt;std::vector&lt;double&gt;,</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                                                           <span class="keywordtype">double</span>,</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                                                           std::vector&lt;double&gt;,</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                                                           <span class="keywordtype">double</span>&gt;() ),</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;                      coupled_system,</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                      initial_coupled_state,</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                      boost::begin(ts_vec), boost::end(ts_vec),</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                      step_size,</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                      observer,</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                      max_step_checker(max_num_steps));</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;      <span class="comment">// remove the first state corresponding to the initial value</span></div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      y_coupled.erase(y_coupled.begin());</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;      <span class="comment">// the coupled system also encapsulates the decoupling operation</span></div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      <span class="keywordflow">return</span> coupled_system.decouple_states(y_coupled);</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    }</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;}</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="invalid__argument_8hpp_html"><div class="ttname"><a href="invalid__argument_8hpp.html">invalid_argument.hpp</a></div></div>
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+<div class="ttc" id="coupled__ode__observer_8hpp_html"><div class="ttname"><a href="coupled__ode__observer_8hpp.html">coupled_ode_observer.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_af55e7669a804e68bc9d39ecd06318b23"><div class="ttname"><a href="namespacestan_1_1math.html#af55e7669a804e68bc9d39ecd06318b23">stan::math::check_ordered</a></div><div class="ttdeci">bool check_ordered(const char *function, const char *name, const std::vector&lt; T_y &gt; &amp;y)</div><div class="ttdoc">Return true if the specified vector is sorted into strictly increasing order. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2err_2check__ordered_8hpp_source.html#l00030">check_ordered.hpp:30</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__observer_html"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__observer.html">stan::math::coupled_ode_observer</a></div><div class="ttdoc">Observer for the coupled states. </div><div class="ttdef"><b>Definition:</b> <a href="coupled__ode__observer_8hpp_source.html#l00015">coupled_ode_observer.hpp:15</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="arr_2err_2check__ordered_8hpp_html"><div class="ttname"><a href="arr_2err_2check__ordered_8hpp.html">check_ordered.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_html"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a></div><div class="ttdoc">Base template class for a coupled ordinary differential equation system, which adds sensitivities to ...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00025">coupled_ode_system.hpp:25</a></div></div>
+<div class="ttc" id="prim_2arr_2functor_2coupled__ode__system_8hpp_html"><div class="ttname"><a href="prim_2arr_2functor_2coupled__ode__system_8hpp.html">coupled_ode_system.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__nonzero__size_8hpp_html"><div class="ttname"><a href="check__nonzero__size_8hpp.html">check_nonzero_size.hpp</a></div></div>
+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+<div class="title">inv_chi_square_ccdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="inv__chi__square__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a24a32a9537cf8218b73109b93379b5b1"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof &gt; </td></tr>
+<tr class="memitem:a24a32a9537cf8218b73109b93379b5b1"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a24a32a9537cf8218b73109b93379b5b1">stan::math::inv_chi_square_ccdf_log</a> (const T_y &amp;y, const T_dof &amp;nu)</td></tr>
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+<div class="title">inv_chi_square_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="inv__chi__square__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_INV_CHI_SQUARE_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_INV_CHI_SQUARE_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof&gt;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof&gt;::type</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a24a32a9537cf8218b73109b93379b5b1">   33</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a24a32a9537cf8218b73109b93379b5b1">inv_chi_square_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof&gt;::type</a></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu) ) ) <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::inv_chi_square_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof&gt;</a> operands_and_partials(y, nu);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++)</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="comment">// Compute ccdf_log and its gradients</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                    T_partials_return, T_dof&gt; gamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                    T_partials_return, T_dof&gt; digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)  {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(0.5 * nu_dbl);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5 * nu_dbl);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="comment">// Compute vectorized ccdf_log and gradient</span></div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        }</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keyword">const</span> T_partials_return y_inv_dbl = 1.0 / y_dbl;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 - <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(0.5 * nu_dbl, 0.5</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                                                   * y_inv_dbl);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= 0.5 * y_inv_dbl * y_inv_dbl</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-0.5*y_inv_dbl) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(0.5*y_inv_dbl, 0.5*nu_dbl-1)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(0.5*nu_dbl) / Pn;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            -= 0.5 * <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(0.5 * nu_dbl,</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                                                    0.5 * y_inv_dbl,</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                                                    gamma_vec[n],</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                                                    digamma_vec[n]) / Pn;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      }</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    }</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  }</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;}</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a24a32a9537cf8218b73109b93379b5b1"><div class="ttname"><a href="namespacestan_1_1math.html#a24a32a9537cf8218b73109b93379b5b1">stan::math::inv_chi_square_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_dof &gt;::type inv_chi_square_ccdf_log(const T_y &amp;y, const T_dof &amp;nu)</div><div class="ttdef"><b>Definition:</b> <a href="inv__chi__square__ccdf__log_8hpp_source.html#l00033">inv_chi_square_ccdf_log.hpp:33</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6336e9873f3029f5abe54c4914c71cb2"><div class="ttname"><a href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a></div><div class="ttdeci">T grad_reg_inc_gamma(T a, T z, T g, T dig, T precision=1e-6)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__gamma_8hpp_source.html#l00016">grad_reg_inc_gamma.hpp:16</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a743267027c96ebef239be63589a6d594"><div class="ttname"><a href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_q(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__q_8hpp_source.html#l00015">gamma_q.hpp:15</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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diff --git a/doc/api/html/inv__chi__square__cdf_8hpp.html b/doc/api/html/inv__chi__square__cdf_8hpp.html
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+<div class="title">inv_chi_square_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="inv__chi__square__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a372e143655badb8f25e542697f689f39"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof &gt; </td></tr>
+<tr class="memitem:a372e143655badb8f25e542697f689f39"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a372e143655badb8f25e542697f689f39">stan::math::inv_chi_square_cdf</a> (const T_y &amp;y, const T_dof &amp;nu)</td></tr>
+<tr class="separator:a372e143655badb8f25e542697f689f39"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">inv_chi_square_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="inv__chi__square__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_INV_CHI_SQUARE_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_INV_CHI_SQUARE_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof&gt;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof&gt;::type</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a372e143655badb8f25e542697f689f39">   33</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a372e143655badb8f25e542697f689f39">inv_chi_square_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof&gt;::type</a></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu) ) ) <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::inv_chi_square_cdf&quot;</span>);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof&gt;</a> operands_and_partials(y, nu);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++)</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="comment">// Compute CDF and its gradients</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                    T_partials_return, T_dof&gt; gamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                    T_partials_return, T_dof&gt; digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)  {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(0.5 * nu_dbl);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5 * nu_dbl);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keyword">const</span> T_partials_return y_inv_dbl = 1.0 / y_dbl;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(0.5 * nu_dbl, 0.5 * y_inv_dbl);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        P *= Pn;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += 0.5 * y_inv_dbl * y_inv_dbl</div>
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+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(0.5*nu_dbl) / Pn;</div>
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+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                                                    0.5 * y_inv_dbl,</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;                                                    gamma_vec[n],</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                                                    digamma_vec[n]) / Pn;</div>
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+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); ++n)</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] *= P;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;      }</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    }</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;  }</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;}</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a372e143655badb8f25e542697f689f39"><div class="ttname"><a href="namespacestan_1_1math.html#a372e143655badb8f25e542697f689f39">stan::math::inv_chi_square_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_dof &gt;::type inv_chi_square_cdf(const T_y &amp;y, const T_dof &amp;nu)</div><div class="ttdef"><b>Definition:</b> <a href="inv__chi__square__cdf_8hpp_source.html#l00033">inv_chi_square_cdf.hpp:33</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a743267027c96ebef239be63589a6d594"><div class="ttname"><a href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_q(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__q_8hpp_source.html#l00015">gamma_q.hpp:15</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="inv__chi__square__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:aae005376416b29d9118470b9c2d18133"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof &gt; </td></tr>
+<tr class="memitem:aae005376416b29d9118470b9c2d18133"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aae005376416b29d9118470b9c2d18133">stan::math::inv_chi_square_cdf_log</a> (const T_y &amp;y, const T_dof &amp;nu)</td></tr>
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+<a href="inv__chi__square__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_INV_CHI_SQUARE_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_INV_CHI_SQUARE_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof&gt;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof&gt;::type</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aae005376416b29d9118470b9c2d18133">   33</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aae005376416b29d9118470b9c2d18133">inv_chi_square_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof&gt;::type</a></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu) ) ) <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::inv_chi_square_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof&gt;</a> operands_and_partials(y, nu);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++)</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="comment">// Compute cdf_log and its gradients</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                    T_partials_return, T_dof&gt; gamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                    T_partials_return, T_dof&gt; digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)  {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(0.5 * nu_dbl);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5 * nu_dbl);</div>
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+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      }</div>
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+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        }</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keyword">const</span> T_partials_return y_inv_dbl = 1.0 / y_dbl;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(0.5 * nu_dbl, 0.5 * y_inv_dbl);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += 0.5 * y_inv_dbl * y_inv_dbl</div>
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+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;                                                    0.5 * y_inv_dbl,</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                                                    gamma_vec[n],</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                                                    digamma_vec[n]) / Pn;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      }</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    }</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  }</div>
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+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a73eaf0a5d0593bb8610234e0d69e7cec"><div class="ttname"><a href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">stan::math::tgamma</a></div><div class="ttdeci">fvar&lt; T &gt; tgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2tgamma_8hpp_source.html#l00015">tgamma.hpp:15</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a743267027c96ebef239be63589a6d594"><div class="ttname"><a href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_q(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__q_8hpp_source.html#l00015">gamma_q.hpp:15</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">inv_chi_square_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="inv__chi__square__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aae83a74c666a703da52db606eb478f50"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_dof &gt; </td></tr>
+<tr class="memitem:aae83a74c666a703da52db606eb478f50"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aae83a74c666a703da52db606eb478f50">stan::math::inv_chi_square_log</a> (const T_y &amp;y, const T_dof &amp;nu)</td></tr>
+<tr class="memdesc:aae83a74c666a703da52db606eb478f50"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of an inverse chi-squared density for y with the specified degrees of freedom parameter.  <a href="namespacestan_1_1math.html#aae83a74c666a703da52db606eb478f50">More...</a><br /></td></tr>
+<tr class="separator:aae83a74c666a703da52db606eb478f50"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a19b9a4f2fd21b540a7d50a37d23f0869"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof &gt; </td></tr>
+<tr class="memitem:a19b9a4f2fd21b540a7d50a37d23f0869"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a19b9a4f2fd21b540a7d50a37d23f0869">stan::math::inv_chi_square_log</a> (const T_y &amp;y, const T_dof &amp;nu)</td></tr>
+<tr class="separator:a19b9a4f2fd21b540a7d50a37d23f0869"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">inv_chi_square_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="inv__chi__square__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_INV_CHI_SQUARE_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_INV_CHI_SQUARE_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof&gt;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof&gt;::type</div>
+<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aae83a74c666a703da52db606eb478f50">   52</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aae83a74c666a703da52db606eb478f50">inv_chi_square_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu) {</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::inv_chi_square_log&quot;</span>);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof&gt;::type</a></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu)))</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++)</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) &lt;= 0)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">boost::math::lgamma</a>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                    T_partials_return, T_y&gt; log_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); i++)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;          log_y[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]));</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y&gt;::value</a>,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                    T_partials_return, T_y&gt; inv_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); i++)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;          inv_y[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                    T_partials_return, T_dof&gt; lgamma_half_nu(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        digamma_half_nu_over_two(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu); i++) {</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        T_partials_return half_nu = 0.5 * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          lgamma_half_nu[i] = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(half_nu);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          digamma_half_nu_over_two[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(half_nu) * 0.5;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      }</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof&gt;</a> operands_and_partials(y, nu);</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return half_nu = 0.5 * nu_dbl;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;          logp += nu_dbl * <a class="code" href="namespacestan_1_1math.html#a9b0bc03717322aa20ea2be9d6e488738">NEG_LOG_TWO_OVER_TWO</a> - lgamma_half_nu[n];</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;          logp -= (half_nu+1.0) * log_y[n];</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          logp -= 0.5 * inv_y[n];</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            += -(half_nu+1.0) * inv_y[n] + 0.5 * inv_y[n] * inv_y[n];</div>
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+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
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+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            += <a class="code" href="namespacestan_1_1math.html#a9b0bc03717322aa20ea2be9d6e488738">NEG_LOG_TWO_OVER_TWO</a> - digamma_half_nu_over_two[n]</div>
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+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        }</div>
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+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
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+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      <span class="keywordflow">return</span> inv_chi_square_log&lt;false&gt;(y, nu);</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    }</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;}</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aead76f03bdbc60484ad760fc31bad40f"><div class="ttname"><a href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a></div><div class="ttdeci">fvar&lt; T &gt; lgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">lgamma.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aae83a74c666a703da52db606eb478f50"><div class="ttname"><a href="namespacestan_1_1math.html#aae83a74c666a703da52db606eb478f50">stan::math::inv_chi_square_log</a></div><div class="ttdeci">return_type&lt; T_y, T_dof &gt;::type inv_chi_square_log(const T_y &amp;y, const T_dof &amp;nu)</div><div class="ttdoc">The log of an inverse chi-squared density for y with the specified degrees of freedom parameter...</div><div class="ttdef"><b>Definition:</b> <a href="inv__chi__square__log_8hpp_source.html#l00052">inv_chi_square_log.hpp:52</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a9b0bc03717322aa20ea2be9d6e488738"><div class="ttname"><a href="namespacestan_1_1math.html#a9b0bc03717322aa20ea2be9d6e488738">stan::math::NEG_LOG_TWO_OVER_TWO</a></div><div class="ttdeci">const double NEG_LOG_TWO_OVER_TWO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00191">constants.hpp:191</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">inv_chi_square_rng.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="inv__chi__square__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a8159125045ed1c5ee551537c9983921f"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a8159125045ed1c5ee551537c9983921f"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8159125045ed1c5ee551537c9983921f">stan::math::inv_chi_square_rng</a> (const double nu, RNG &amp;rng)</td></tr>
+<tr class="separator:a8159125045ed1c5ee551537c9983921f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  </span>
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+  <i>&copy; 2011&ndash;2016,
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+<div class="title">inv_chi_square_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="inv__chi__square__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_INV_CHI_SQUARE_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_INV_CHI_SQUARE_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8159125045ed1c5ee551537c9983921f">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a8159125045ed1c5ee551537c9983921f">inv_chi_square_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> nu,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                       RNG&amp; rng) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> boost::random::chi_squared_distribution;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::inv_chi_square_rng&quot;</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      variate_generator&lt;RNG&amp;, chi_squared_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <a class="code" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">chi_square_rng</a>(rng, chi_squared_distribution&lt;&gt;(nu));</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">return</span> 1 / <a class="code" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">chi_square_rng</a>();</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;}</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac1653e58694ea92bc1781e5d332c31e8"><div class="ttname"><a href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">stan::math::chi_square_rng</a></div><div class="ttdeci">double chi_square_rng(const double nu, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="chi__square__rng_8hpp_source.html#l00024">chi_square_rng.hpp:24</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8159125045ed1c5ee551537c9983921f"><div class="ttname"><a href="namespacestan_1_1math.html#a8159125045ed1c5ee551537c9983921f">stan::math::inv_chi_square_rng</a></div><div class="ttdeci">double inv_chi_square_rng(const double nu, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="inv__chi__square__rng_8hpp_source.html#l00028">inv_chi_square_rng.hpp:28</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">inv_gamma_ccdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="inv__gamma__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:af2b35d989d0d1a9cb6ea163bbbd14ed3"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:af2b35d989d0d1a9cb6ea163bbbd14ed3"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af2b35d989d0d1a9cb6ea163bbbd14ed3">stan::math::inv_gamma_ccdf_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;beta)</td></tr>
+<tr class="separator:af2b35d989d0d1a9cb6ea163bbbd14ed3"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">inv_gamma_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="inv__gamma__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_INV_GAMMA_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_INV_GAMMA_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af2b35d989d0d1a9cb6ea163bbbd14ed3">   35</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#af2b35d989d0d1a9cb6ea163bbbd14ed3">inv_gamma_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                       <span class="keyword">const</span> T_scale&amp; beta) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::inv_gamma_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                             <span class="stringliteral">&quot;Scale Parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="comment">// Compute ccdf_log and its gradients</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                    T_partials_return, T_shape&gt; gamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        digamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); i++) {</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="comment">// Compute vectorized ccdf_log and gradient</span></div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return y_inv_dbl = 1.0 / y_dbl;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 - <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(alpha_dbl, beta_dbl</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                                                   * y_inv_dbl);</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= beta_dbl * y_inv_dbl * y_inv_dbl</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_inv_dbl) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_inv_dbl,</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                                               alpha_dbl-1)</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;            -= <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(alpha_dbl, beta_dbl</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                                              * y_inv_dbl, gamma_vec[n],</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                                              digamma_vec[n]) / Pn;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += y_inv_dbl</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_inv_dbl)</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_inv_dbl, alpha_dbl-1)</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      }</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  }</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;}</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="title">inv_gamma_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="inv__gamma__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a195c84d2f45abc7bcf28c1d9e3fd8cf8"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:a195c84d2f45abc7bcf28c1d9e3fd8cf8"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a195c84d2f45abc7bcf28c1d9e3fd8cf8">stan::math::inv_gamma_cdf</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;beta)</td></tr>
+<tr class="memdesc:a195c84d2f45abc7bcf28c1d9e3fd8cf8"><td class="mdescLeft">&#160;</td><td class="mdescRight">The CDF of an inverse gamma density for y with the specified shape and scale parameters.  <a href="namespacestan_1_1math.html#a195c84d2f45abc7bcf28c1d9e3fd8cf8">More...</a><br /></td></tr>
+<tr class="separator:a195c84d2f45abc7bcf28c1d9e3fd8cf8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">inv_gamma_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="inv__gamma__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_INV_GAMMA_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_INV_GAMMA_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
+<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a195c84d2f45abc7bcf28c1d9e3fd8cf8">   51</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a195c84d2f45abc7bcf28c1d9e3fd8cf8">inv_gamma_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_scale&amp; beta) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::inv_gamma_cdf&quot;</span>);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                             <span class="stringliteral">&quot;Scale Parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      }</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="comment">// Compute CDF and its gradients</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        gamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        digamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); i++) {</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
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+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      }</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keyword">const</span> T_partials_return y_inv_dbl = 1.0 / y_dbl;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        <span class="comment">// Compute</span></div>
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+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        P *= Pn;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += beta_dbl * y_inv_dbl * y_inv_dbl</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_inv_dbl) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                                               * y_inv_dbl, alpha_dbl-1)</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;            += <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(alpha_dbl, beta_dbl</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;                                              * y_inv_dbl, gamma_vec[n],</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                                              digamma_vec[n]) / Pn;</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += - y_inv_dbl</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_inv_dbl)</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_inv_dbl, alpha_dbl-1)</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
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+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;</div>
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+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] *= P;</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;      }</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); ++n)</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] *= P;</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;      }</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta); ++n)</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] *= P;</div>
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+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="title">inv_gamma_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="inv__gamma__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0e622170c7270f1a441235f98248d3a3"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:a0e622170c7270f1a441235f98248d3a3"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0e622170c7270f1a441235f98248d3a3">stan::math::inv_gamma_cdf_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;beta)</td></tr>
+<tr class="separator:a0e622170c7270f1a441235f98248d3a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">inv_gamma_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="inv__gamma__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_INV_GAMMA_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_INV_GAMMA_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0e622170c7270f1a441235f98248d3a3">   35</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0e622170c7270f1a441235f98248d3a3">inv_gamma_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                      <span class="keyword">const</span> T_scale&amp; beta) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::inv_gamma_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                             <span class="stringliteral">&quot;Scale Parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="comment">// Compute cdf_log and its gradients</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                    T_partials_return, T_shape&gt; gamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        digamma_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); i++) {</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return y_inv_dbl = 1.0 / y_dbl;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(alpha_dbl, beta_dbl * y_inv_dbl);</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += beta_dbl * y_inv_dbl * y_inv_dbl</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_inv_dbl) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_inv_dbl,</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                                               alpha_dbl-1)</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            += <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(alpha_dbl, beta_dbl</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                                              * y_inv_dbl, gamma_vec[n],</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                                              digamma_vec[n]) / Pn;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += - y_inv_dbl</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-beta_dbl * y_inv_dbl)</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(beta_dbl * y_inv_dbl, alpha_dbl-1)</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(alpha_dbl) / Pn;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;      }</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    }</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;}</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
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+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="title">inv_gamma_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="inv__gamma__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad34fa642137e07f723c995d42e78df2c"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:ad34fa642137e07f723c995d42e78df2c"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad34fa642137e07f723c995d42e78df2c">stan::math::inv_gamma_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;beta)</td></tr>
+<tr class="memdesc:ad34fa642137e07f723c995d42e78df2c"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of an inverse gamma density for y with the specified shape and scale parameters.  <a href="namespacestan_1_1math.html#ad34fa642137e07f723c995d42e78df2c">More...</a><br /></td></tr>
+<tr class="separator:ad34fa642137e07f723c995d42e78df2c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2a6c6fb67d4de25708140e5fce64e4f4"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:a2a6c6fb67d4de25708140e5fce64e4f4"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2a6c6fb67d4de25708140e5fce64e4f4">stan::math::inv_gamma_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;beta)</td></tr>
+<tr class="separator:a2a6c6fb67d4de25708140e5fce64e4f4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">inv_gamma_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="inv__gamma__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_INV_GAMMA_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_INV_GAMMA_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
+<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad34fa642137e07f723c995d42e78df2c">   51</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad34fa642137e07f723c995d42e78df2c">inv_gamma_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_scale&amp; beta) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::inv_gamma_log&quot;</span>);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">if</span> (y_dbl &lt;= 0)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a>;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                    T_partials_return, T_y&gt; log_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;                    T_partials_return, T_y&gt; inv_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++) {</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) &gt; 0)</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            log_y[n] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]));</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          inv_y[n] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      }</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                    T_partials_return, T_shape&gt; lgamma_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;                    T_partials_return, T_shape&gt; digamma_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); n++) {</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          lgamma_alpha[n] = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]));</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;          digamma_alpha[n] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]));</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      }</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_shape, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                    T_partials_return, T_scale&gt; log_beta(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta));</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta); n++)</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;          log_beta[n] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]));</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      }</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="comment">// pull out values of arguments</span></div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;          logp -= lgamma_alpha[n];</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          logp += alpha_dbl * log_beta[n];</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;          logp -= (alpha_dbl+1.0) * log_y[n];</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;          logp -= beta_dbl * inv_y[n];</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant.html">is_constant</a>&lt;<span class="keyword">typename</span> <a class="code" href="structstan_1_1is__vector.html#a5384dc7751d6efdfd7b7bd9ccc442ca2">is_vector&lt;T_y&gt;::type</a>&gt;::value)</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;            += -(alpha_dbl+1) * inv_y[n] + beta_dbl * inv_y[n] * inv_y[n];</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant.html">is_constant</a>&lt;<span class="keyword">typename</span> <a class="code" href="structstan_1_1is__vector.html#a5384dc7751d6efdfd7b7bd9ccc442ca2">is_vector&lt;T_shape&gt;::type</a>&gt;::value)</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;            += -digamma_alpha[n] + log_beta[n] - log_y[n];</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant.html">is_constant</a>&lt;<span class="keyword">typename</span> <a class="code" href="structstan_1_1is__vector.html#a5384dc7751d6efdfd7b7bd9ccc442ca2">is_vector&lt;T_scale&gt;::type</a>&gt;::value)</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += alpha_dbl / beta_dbl - inv_y[n];</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;      }</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    }</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
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+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
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+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
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+<div class="title">inv_gamma_rng.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/gamma_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="inv__gamma__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a3222e632ba4aaeb90753a96520799867"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a3222e632ba4aaeb90753a96520799867"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3222e632ba4aaeb90753a96520799867">stan::math::inv_gamma_rng</a> (const double alpha, const double beta, RNG &amp;rng)</td></tr>
+<tr class="separator:a3222e632ba4aaeb90753a96520799867"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">inv_gamma_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="inv__gamma__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_INV_GAMMA_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_INV_GAMMA_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;boost/random/gamma_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3222e632ba4aaeb90753a96520799867">   30</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a3222e632ba4aaeb90753a96520799867">inv_gamma_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> alpha,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                  <span class="keyword">const</span> <span class="keywordtype">double</span> beta,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                  RNG&amp; rng) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> boost::random::gamma_distribution;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::inv_gamma_rng&quot;</span>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      variate_generator&lt;RNG&amp;, gamma_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">gamma_rng</a>(rng, gamma_distribution&lt;&gt;(alpha, 1 / beta));</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordflow">return</span> 1 / <a class="code" href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">gamma_rng</a>();</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    }</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  }</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;}</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aacf6ec5f55f56b5756804a1771259a58"><div class="ttname"><a href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">stan::math::gamma_rng</a></div><div class="ttdeci">double gamma_rng(const double alpha, const double beta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="gamma__rng_8hpp_source.html#l00030">gamma_rng.hpp:30</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__ldlt__factor_8hpp_source.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lmgamma_8hpp_source.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="trace_8hpp_source.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</code><br />
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+<p><a href="inv__wishart__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a56c063912bf059644103aaf8787f71e9"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_dof , typename T_scale &gt; </td></tr>
+<tr class="memitem:a56c063912bf059644103aaf8787f71e9"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_y, T_dof, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a56c063912bf059644103aaf8787f71e9">stan::math::inv_wishart_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;W, const T_dof &amp;nu, const Eigen::Matrix&lt; T_scale, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S)</td></tr>
+<tr class="memdesc:a56c063912bf059644103aaf8787f71e9"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of the Inverse-Wishart density for the given W, degrees of freedom, and scale matrix.  <a href="namespacestan_1_1math.html#a56c063912bf059644103aaf8787f71e9">More...</a><br /></td></tr>
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+<tr class="memitem:a96f8f9a5add1c91cbe30c887265da81f"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_scale &gt; </td></tr>
+<tr class="memitem:a96f8f9a5add1c91cbe30c887265da81f"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_y, T_dof, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a96f8f9a5add1c91cbe30c887265da81f">stan::math::inv_wishart_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;W, const T_dof &amp;nu, const Eigen::Matrix&lt; T_scale, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S)</td></tr>
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+<a href="inv__wishart__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_INV_WISHART_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_INV_WISHART_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lmgamma_8hpp.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="trace_8hpp.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="comment">// InvWishart(Sigma|n, Omega)  [W, S symmetric, non-neg, definite;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="comment">//                             W.dims() = S.dims();</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="comment">//                             n &gt; S.rows() - 1]</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="comment"></span>    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_y, T_dof, T_scale&gt;::type</div>
+<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a56c063912bf059644103aaf8787f71e9">   52</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a56c063912bf059644103aaf8787f71e9">inv_wishart_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; W,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                    <span class="keyword">const</span> T_dof&amp; nu,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                    <span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                    &lt;T_scale, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; S) {</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::inv_wishart_log&quot;</span>);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T_scale, Dynamic, Dynamic&gt;</a> &gt;::type k</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        = S.rows();</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">typename</span> promote_args&lt;T_y, T_dof, T_scale&gt;::type lp(0.0);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">check_greater</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu, k-1);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">check_square</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;random variable&quot;</span>, W);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">check_square</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;scale parameter&quot;</span>, S);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                       <span class="stringliteral">&quot;Rows of random variable&quot;</span>, W.rows(),</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                       <span class="stringliteral">&quot;columns of scale parameter&quot;</span>, S.rows());</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// FIXME: domain checks</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ad46d6e08f7b6e9b9e8941572d30b104e">stan::math::lmgamma</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">stan::math::log_determinant_ldlt</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">stan::math::mdivide_left_ldlt</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7001fd7e0296d5dae6ab0a88e1a28547">stan::math::trace</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math::check_ldlt_factor</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;</a> ldlt_W(W);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">check_ldlt_factor</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;LDLT_Factor of random variable&quot;</span>, ldlt_W);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor&lt;T_scale, Eigen::Dynamic, Eigen::Dynamic&gt;</a> ldlt_S(S);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">check_ldlt_factor</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;LDLT_Factor of scale parameter&quot;</span>, ldlt_S);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        lp -= <a class="code" href="namespacestan_1_1math.html#ad46d6e08f7b6e9b9e8941572d30b104e">lmgamma</a>(k, 0.5 * nu);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        lp += 0.5 * nu * <a class="code" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">log_determinant_ldlt</a>(ldlt_S);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      }</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        lp -= 0.5 * (nu + k + 1.0) * <a class="code" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">log_determinant_ldlt</a>(ldlt_W);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      }</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="comment">//    L = crossprod(mdivide_left_tri_low(L));</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="comment">//    Eigen::Matrix&lt;T_y, Eigen::Dynamic, 1&gt; W_inv_vec = Eigen::Map&lt;</span></div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="comment">//      const Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt; &gt;(</span></div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="comment">//      &amp;L(0), L.size(), 1);</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="comment">//    Eigen::Matrix&lt;T_scale, Eigen::Dynamic, 1&gt; S_vec = Eigen::Map&lt;</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="comment">//      const Eigen::Matrix&lt;T_scale, Eigen::Dynamic, Eigen::Dynamic&gt; &gt;(</span></div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="comment">//      &amp;S(0), S.size(), 1);</span></div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="comment">//    lp -= 0.5 * dot_product(S_vec, W_inv_vec); // trace(S * W^-1)</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        Eigen::Matrix&lt;typename promote_args&lt;T_y, T_scale&gt;::type,</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                      Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          Winv_S(<a class="code" href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">mdivide_left_ldlt</a></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                 (ldlt_W,</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;                  <span class="keyword">static_cast&lt;</span>Eigen::Matrix</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                  &lt;T_scale, Eigen::Dynamic, Eigen::Dynamic<span class="keyword">&gt;</span> &gt;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                  (S.template selfadjointView&lt;Eigen::Lower&gt;())));</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        lp -= 0.5*<a class="code" href="namespacestan_1_1math.html#a7001fd7e0296d5dae6ab0a88e1a28547">trace</a>(Winv_S);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      }</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        lp += nu * k * <a class="code" href="namespacestan_1_1math.html#a9b0bc03717322aa20ea2be9d6e488738">NEG_LOG_TWO_OVER_TWO</a>;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    }</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_y, T_dof, T_scale&gt;::type</div>
+<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a96f8f9a5add1c91cbe30c887265da81f">  125</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a56c063912bf059644103aaf8787f71e9">inv_wishart_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; W,</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                    <span class="keyword">const</span> T_dof&amp; nu,</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                    <span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                    &lt;T_scale, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; S) {</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      <span class="keywordflow">return</span> inv_wishart_log&lt;false&gt;(W, nu, S);</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    }</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  }</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;}</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="trace_8hpp_html"><div class="ttname"><a href="trace_8hpp.html">trace.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="check__ldlt__factor_8hpp_html"><div class="ttname"><a href="check__ldlt__factor_8hpp.html">check_ldlt_factor.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_html"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00018">LDLT_factor.hpp:18</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a63890dd40cd8ad08a55c3b4e8616c741"><div class="ttname"><a href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">stan::math::mdivide_left_ldlt</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T2 &gt;, R1, C2 &gt; mdivide_left_ldlt(const stan::math::LDLT_factor&lt; double, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T2 &gt;, R2, C2 &gt; &amp;b)</div><div class="ttdoc">Returns the solution of the system Ax=b given an LDLT_factor of A. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00025">mdivide_left_ldlt.hpp:25</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a56c063912bf059644103aaf8787f71e9"><div class="ttname"><a href="namespacestan_1_1math.html#a56c063912bf059644103aaf8787f71e9">stan::math::inv_wishart_log</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T_y, T_dof, T_scale &gt;::type inv_wishart_log(const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;W, const T_dof &amp;nu, const Eigen::Matrix&lt; T_scale, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S)</div><div class="ttdoc">The log of the Inverse-Wishart density for the given W, degrees of freedom, and scale matrix...</div><div class="ttdef"><b>Definition:</b> <a href="inv__wishart__log_8hpp_source.html#l00052">inv_wishart_log.hpp:52</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__ldlt__factor_8hpp_source.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="wishart__rng_8hpp_source.html">stan/math/prim/mat/prob/wishart_rng.hpp</a>&gt;</code><br />
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+<tr class="memitem:a639b9495c8bb2917100b52b7ed889d3c"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a639b9495c8bb2917100b52b7ed889d3c"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a639b9495c8bb2917100b52b7ed889d3c">stan::math::inv_wishart_rng</a> (const double nu, const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S, RNG &amp;rng)</td></tr>
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+<a href="inv__wishart__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_INV_WISHART_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_INV_WISHART_RNG_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      MatrixXd S_inv = MatrixXd::Identity(k, k);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      S_inv = S.ldlt().solve(S_inv);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a7025b4916694aa80aa0d758a11647b5d">wishart_rng</a>(nu, S_inv, rng).inverse();</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;  }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;}</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="wishart__rng_8hpp_html"><div class="ttname"><a href="wishart__rng_8hpp.html">wishart_rng.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="check__ldlt__factor_8hpp_html"><div class="ttname"><a href="check__ldlt__factor_8hpp.html">check_ldlt_factor.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7025b4916694aa80aa0d758a11647b5d"><div class="ttname"><a href="namespacestan_1_1math.html#a7025b4916694aa80aa0d758a11647b5d">stan::math::wishart_rng</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; wishart_rng(const double nu, const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="wishart__rng_8hpp_source.html#l00029">wishart_rng.hpp:29</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a639b9495c8bb2917100b52b7ed889d3c"><div class="ttname"><a href="namespacestan_1_1math.html#a639b9495c8bb2917100b52b7ed889d3c">stan::math::inv_wishart_rng</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; inv_wishart_rng(const double nu, const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="inv__wishart__rng_8hpp_source.html#l00021">inv_wishart_rng.hpp:21</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">mdivide_left_ldlt.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><div class="ttname"><a href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a></div><div class="ttdeci">bool check_greater(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is strictly greater than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater_8hpp_source.html#l00084">check_greater.hpp:84</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2log__determinant__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">log_determinant_ldlt.hpp</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="title">invalid_argument.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;typeinfo&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="invalid__argument_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a9bcb1af5657f92ccadf5204fc43377fd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9bcb1af5657f92ccadf5204fc43377fd"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">stan::math::invalid_argument</a> (const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</td></tr>
+<tr class="memdesc:a9bcb1af5657f92ccadf5204fc43377fd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an invalid_argument exception with a consistently formatted message.  <a href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">More...</a><br /></td></tr>
+<tr class="separator:a9bcb1af5657f92ccadf5204fc43377fd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aacf5709c614035ef60053a348e18554c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aacf5709c614035ef60053a348e18554c"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aacf5709c614035ef60053a348e18554c">stan::math::invalid_argument</a> (const char *function, const char *name, const T &amp;y, const char *msg1)</td></tr>
+<tr class="memdesc:aacf5709c614035ef60053a348e18554c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an invalid_argument exception with a consistently formatted message.  <a href="namespacestan_1_1math.html#aacf5709c614035ef60053a348e18554c">More...</a><br /></td></tr>
+<tr class="separator:aacf5709c614035ef60053a348e18554c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
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+  <span style="float:left; margin=0 1em 0 1em;">
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+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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diff --git a/doc/api/html/invalid__argument_8hpp_source.html b/doc/api/html/invalid__argument_8hpp_source.html
new file mode 100644
index 00000000000..98f39484bfb
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+<a href="invalid__argument_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_INVALID_ARGUMENT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_INVALID_ARGUMENT_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="invalid__argument_8hpp_source.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2value__type_8hpp_source.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2get_8hpp_source.html">stan/math/prim/scal/meta/get.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="invalid__argument__vec_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:add7b2630385b99ef7045818ba8fe2a97"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:add7b2630385b99ef7045818ba8fe2a97"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#add7b2630385b99ef7045818ba8fe2a97">stan::math::invalid_argument_vec</a> (const char *function, const char *name, const T &amp;y, const size_t i, const char *msg1, const char *msg2)</td></tr>
+<tr class="memdesc:add7b2630385b99ef7045818ba8fe2a97"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an invalid argument exception with a consistently formatted message.  <a href="namespacestan_1_1math.html#add7b2630385b99ef7045818ba8fe2a97">More...</a><br /></td></tr>
+<tr class="separator:add7b2630385b99ef7045818ba8fe2a97"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a309a8690ee903eea7e5847e4d93483f4"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a309a8690ee903eea7e5847e4d93483f4"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a309a8690ee903eea7e5847e4d93483f4">stan::math::invalid_argument_vec</a> (const char *function, const char *name, const T &amp;y, const size_t i, const char *msg)</td></tr>
+<tr class="memdesc:a309a8690ee903eea7e5847e4d93483f4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an invalid argument exception with a consistently formatted message.  <a href="namespacestan_1_1math.html#a309a8690ee903eea7e5847e4d93483f4">More...</a><br /></td></tr>
+<tr class="separator:a309a8690ee903eea7e5847e4d93483f4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="invalid__argument__vec_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_INVALID_ARGUMENT_VEC_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_INVALID_ARGUMENT_VEC_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="invalid__argument_8hpp.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</span></div>
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+<div class="ttc" id="invalid__argument_8hpp_html"><div class="ttname"><a href="invalid__argument_8hpp.html">invalid_argument.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2get_8hpp_html"><div class="ttname"><a href="scal_2meta_2get_8hpp.html">get.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html_a431bd201f09a215cccb16cda10a1e840"><div class="ttname"><a href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan::get</a></div><div class="ttdeci">T get(const std::vector&lt; T &gt; &amp;x, size_t n)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2get_8hpp_source.html#l00010">get.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2value__type_8hpp_html"><div class="ttname"><a href="scal_2meta_2value__type_8hpp.html">value_type.hpp</a></div></div>
+<div class="ttc" id="error__index_8hpp_html"><div class="ttname"><a href="error__index_8hpp.html">error_index.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_add7b2630385b99ef7045818ba8fe2a97"><div class="ttname"><a href="namespacestan_1_1math.html#add7b2630385b99ef7045818ba8fe2a97">stan::math::invalid_argument_vec</a></div><div class="ttdeci">void invalid_argument_vec(const char *function, const char *name, const T &amp;y, const size_t i, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw an invalid argument exception with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="invalid__argument__vec_8hpp_source.html#l00038">invalid_argument_vec.hpp:38</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;boost/throw_exception.hpp&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a1edc35cc581dda178263f6a4a4fd1158"><td class="memTemplParams" colspan="2">template&lt;typename Vector &gt; </td></tr>
+<tr class="memitem:a1edc35cc581dda178263f6a4a4fd1158"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1edc35cc581dda178263f6a4a4fd1158">stan::math::inverse_softmax</a> (const Vector &amp;simplex, Vector &amp;y)</td></tr>
+<tr class="memdesc:a1edc35cc581dda178263f6a4a4fd1158"><td class="mdescLeft">&#160;</td><td class="mdescRight">Writes the inverse softmax of the simplex argument into the second argument.  <a href="namespacestan_1_1math.html#a1edc35cc581dda178263f6a4a4fd1158">More...</a><br /></td></tr>
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+<div class="title">inverse_softmax.hpp</div>  </div>
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+<a href="inverse__softmax_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_INVERSE_SOFTMAX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_INVERSE_SOFTMAX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/throw_exception.hpp&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">if</span> (simplex.size() != y.size())</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;}</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<div class="title">inverse_spd.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="inverse__spd_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a69d2c003918b45e95edb84ea58b84c68"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a69d2c003918b45e95edb84ea58b84c68"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a69d2c003918b45e95edb84ea58b84c68">stan::math::inverse_spd</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</td></tr>
+<tr class="memdesc:a69d2c003918b45e95edb84ea58b84c68"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the inverse of the specified symmetric, pos/neg-definite matrix.  <a href="namespacestan_1_1math.html#a69d2c003918b45e95edb84ea58b84c68">More...</a><br /></td></tr>
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+</div>
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+<div class="title">inverse_spd.hpp</div>  </div>
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+<a href="inverse__spd_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_INVERSE_SPD_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_INVERSE_SPD_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a69d2c003918b45e95edb84ea58b84c68">   20</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a69d2c003918b45e95edb84ea58b84c68">inverse_spd</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; m) {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> Eigen::LDLT;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;inverse_spd&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, m);</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a>(<span class="stringliteral">&quot;inverse_spd&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, m);</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      Matrix&lt;T, Dynamic, Dynamic&gt; mmt = T(0.5) * (m + m.transpose());</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="comment">// mmt = T(0.5) * mmt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      LDLT&lt;Matrix&lt;T, Dynamic, Dynamic&gt; &gt; ldlt(mmt);  <span class="comment">// 0.5*(m+m.transpose()));</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keywordflow">if</span> (ldlt.info() != Eigen::Success)</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                                <span class="stringliteral">&quot;factorization failed&quot;</span>);</div>
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+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; diag_ldlt = ldlt.vectorD();</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; diag_ldlt.size(); ++i)</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <span class="keywordflow">if</span> (diag_ldlt(i) &lt;= 0)</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;          <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;Error in inverse_spd, matrix &quot;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                                  <span class="stringliteral">&quot;not positive definite&quot;</span>);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">return</span> ldlt.solve(Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                        ::Identity(m.rows(), m.cols()));</div>
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+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;}</div>
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+<div class="ttc" id="check__symmetric_8hpp_html"><div class="ttname"><a href="check__symmetric_8hpp.html">check_symmetric.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69d2c003918b45e95edb84ea58b84c68"><div class="ttname"><a href="namespacestan_1_1math.html#a69d2c003918b45e95edb84ea58b84c68">stan::math::inverse_spd</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; inverse_spd(const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</div><div class="ttdoc">Returns the inverse of the specified symmetric, pos/neg-definite matrix. </div><div class="ttdef"><b>Definition:</b> <a href="inverse__spd_8hpp_source.html#l00020">inverse_spd.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab874d14a9441896a9d9e0172ba555357"><div class="ttname"><a href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a></div><div class="ttdeci">bool check_symmetric(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is symmetric. </div><div class="ttdef"><b>Definition:</b> <a href="check__symmetric_8hpp_source.html#l00037">check_symmetric.hpp:37</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/type_traits/is_convertible.hpp&gt;</code><br />
+</div>
+<p><a href="is__constant_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1is__constant.html">stan::is_constant&lt; T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Metaprogramming struct to detect whether a given type is constant in the mathematical sense (not the C++ <code>const</code> sense).  <a href="structstan_1_1is__constant.html#details">More...</a><br /></td></tr>
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+<code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/type_traits/is_arithmetic.hpp&gt;</code><br />
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+<a href="is__var__or__arithmetic_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_IS_VAR_OR_ARITHMETIC_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_IS_VAR_OR_ARITHMETIC_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2is__var_8hpp.html">stan/math/prim/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2scalar__type_8hpp.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits/is_arithmetic.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1,</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;          || boost::is_arithmetic&lt;<span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">scalar_type&lt;T6&gt;::type</a>&gt;::<a class="code" href="structstan_1_1is__var__or__arithmetic.html#ae2274b1dfaae357a2ede5a73ceff221ca4e3e0e0100aa814492acbd85e2138643">value</a>)</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    };</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  };</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;}</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="ttc" id="structstan_1_1is__var__or__arithmetic_html_ae2274b1dfaae357a2ede5a73ceff221ca4e3e0e0100aa814492acbd85e2138643"><div class="ttname"><a href="structstan_1_1is__var__or__arithmetic.html#ae2274b1dfaae357a2ede5a73ceff221ca4e3e0e0100aa814492acbd85e2138643">stan::is_var_or_arithmetic::value</a></div><div class="ttdef"><b>Definition:</b> <a href="is__var__or__arithmetic_8hpp_source.html#l00018">is_var_or_arithmetic.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1is__var_html"><div class="ttname"><a href="structstan_1_1is__var.html">stan::is_var</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2is__var_8hpp_source.html#l00007">is_var.hpp:7</a></div></div>
+<div class="ttc" id="structstan_1_1scalar__type_html_aa9068e42d81d7091f822df126fe932b7"><div class="ttname"><a href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">stan::scalar_type::type</a></div><div class="ttdeci">scalar_type_helper&lt; is_vector&lt; T &gt;::value, T &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2scalar__type_8hpp_source.html#l00035">scalar_type.hpp:35</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2is__var_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2is__var_8hpp.html">is_var.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2scalar__type_8hpp_html"><div class="ttname"><a href="scal_2meta_2scalar__type_8hpp.html">scalar_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__var__or__arithmetic_html"><div class="ttname"><a href="structstan_1_1is__var__or__arithmetic.html">stan::is_var_or_arithmetic</a></div><div class="ttdef"><b>Definition:</b> <a href="is__var__or__arithmetic_8hpp_source.html#l00016">is_var_or_arithmetic.hpp:16</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
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+  <i>&copy; 2011&ndash;2016,
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+ * http://jquery.com/
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+ * Copyright 2011, John Resig
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bw=this[0],bv=this.offsetParent(),bx=this.offset(),e=ad.test(bv[0].nodeName)?{top:0,left:0}:bv.offset();bx.top-=parseFloat(b.css(bw,"marginTop"))||0;bx.left-=parseFloat(b.css(bw,"marginLeft"))||0;e.top+=parseFloat(b.css(bv[0],"borderTopWidth"))||0;e.left+=parseFloat(b.css(bv[0],"borderLeftWidth"))||0;return{top:bx.top-e.top,left:bx.left-e.left}},offsetParent:function(){return this.map(function(){var e=this.offsetParent||av.body;while(e&&(!ad.test(e.nodeName)&&b.css(e,"position")==="static")){e=e.offsetParent}return e})}});b.each(["Left","Top"],function(bv,e){var bw="scroll"+e;b.fn[bw]=function(bz){var bx,by;if(bz===L){bx=this[0];if(!bx){return null}by=aK(bx);return by?("pageXOffset" in by)?by[bv?"pageYOffset":"pageXOffset"]:b.support.boxModel&&by.document.documentElement[bw]||by.document.body[bw]:bx[bw]}return this.each(function(){by=aK(this);if(by){by.scrollTo(!bv?bz:b(by).scrollLeft(),bv?bz:b(by).scrollTop())}else{this[bw]=bz}})}});function aK(e){return b.isWindow(e)?e:e.nodeType===9?e.defaultView||e.parentWindow:false}b.each(["Height","Width"],function(bv,e){var bw=e.toLowerCase();b.fn["inner"+e]=function(){var bx=this[0];return bx?bx.style?parseFloat(b.css(bx,bw,"padding")):this[bw]():null};b.fn["outer"+e]=function(by){var bx=this[0];return bx?bx.style?parseFloat(b.css(bx,bw,by?"margin":"border")):this[bw]():null};b.fn[bw]=function(bz){var bA=this[0];if(!bA){return bz==null?null:this}if(b.isFunction(bz)){return this.each(function(bE){var bD=b(this);bD[bw](bz.call(this,bE,bD[bw]()))})}if(b.isWindow(bA)){var bB=bA.document.documentElement["client"+e],bx=bA.document.body;return bA.document.compatMode==="CSS1Compat"&&bB||bx&&bx["client"+e]||bB}else{if(bA.nodeType===9){return Math.max(bA.documentElement["client"+e],bA.body["scroll"+e],bA.documentElement["scroll"+e],bA.body["offset"+e],bA.documentElement["offset"+e])}else{if(bz===L){var bC=b.css(bA,bw),by=parseFloat(bC);return b.isNumeric(by)?by:bC}else{return this.css(bw,typeof bz==="string"?bz:bz+"px")}}}}});bb.jQuery=bb.$=b;if(typeof define==="function"&&define.amd&&define.amd.jQuery){define("jquery",[],function(){return b})}})(window);/*!
+ * jQuery UI 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI
+ */
+(function(a,d){a.ui=a.ui||{};if(a.ui.version){return}a.extend(a.ui,{version:"1.8.18",keyCode:{ALT:18,BACKSPACE:8,CAPS_LOCK:20,COMMA:188,COMMAND:91,COMMAND_LEFT:91,COMMAND_RIGHT:93,CONTROL:17,DELETE:46,DOWN:40,END:35,ENTER:13,ESCAPE:27,HOME:36,INSERT:45,LEFT:37,MENU:93,NUMPAD_ADD:107,NUMPAD_DECIMAL:110,NUMPAD_DIVIDE:111,NUMPAD_ENTER:108,NUMPAD_MULTIPLY:106,NUMPAD_SUBTRACT:109,PAGE_DOWN:34,PAGE_UP:33,PERIOD:190,RIGHT:39,SHIFT:16,SPACE:32,TAB:9,UP:38,WINDOWS:91}});a.fn.extend({propAttr:a.fn.prop||a.fn.attr,_focus:a.fn.focus,focus:function(e,f){return typeof e==="number"?this.each(function(){var g=this;setTimeout(function(){a(g).focus();if(f){f.call(g)}},e)}):this._focus.apply(this,arguments)},scrollParent:function(){var e;if((a.browser.msie&&(/(static|relative)/).test(this.css("position")))||(/absolute/).test(this.css("position"))){e=this.parents().filter(function(){return(/(relative|absolute|fixed)/).test(a.curCSS(this,"position",1))&&(/(auto|scroll)/).test(a.curCSS(this,"overflow",1)+a.curCSS(this,"overflow-y",1)+a.curCSS(this,"overflow-x",1))}).eq(0)}else{e=this.parents().filter(function(){return(/(auto|scroll)/).test(a.curCSS(this,"overflow",1)+a.curCSS(this,"overflow-y",1)+a.curCSS(this,"overflow-x",1))}).eq(0)}return(/fixed/).test(this.css("position"))||!e.length?a(document):e},zIndex:function(h){if(h!==d){return this.css("zIndex",h)}if(this.length){var f=a(this[0]),e,g;while(f.length&&f[0]!==document){e=f.css("position");if(e==="absolute"||e==="relative"||e==="fixed"){g=parseInt(f.css("zIndex"),10);if(!isNaN(g)&&g!==0){return g}}f=f.parent()}}return 0},disableSelection:function(){return this.bind((a.support.selectstart?"selectstart":"mousedown")+".ui-disableSelection",function(e){e.preventDefault()})},enableSelection:function(){return this.unbind(".ui-disableSelection")}});a.each(["Width","Height"],function(g,e){var f=e==="Width"?["Left","Right"]:["Top","Bottom"],h=e.toLowerCase(),k={innerWidth:a.fn.innerWidth,innerHeight:a.fn.innerHeight,outerWidth:a.fn.outerWidth,outerHeight:a.fn.outerHeight};function j(m,l,i,n){a.each(f,function(){l-=parseFloat(a.curCSS(m,"padding"+this,true))||0;if(i){l-=parseFloat(a.curCSS(m,"border"+this+"Width",true))||0}if(n){l-=parseFloat(a.curCSS(m,"margin"+this,true))||0}});return l}a.fn["inner"+e]=function(i){if(i===d){return k["inner"+e].call(this)}return this.each(function(){a(this).css(h,j(this,i)+"px")})};a.fn["outer"+e]=function(i,l){if(typeof i!=="number"){return k["outer"+e].call(this,i)}return this.each(function(){a(this).css(h,j(this,i,true,l)+"px")})}});function c(g,e){var j=g.nodeName.toLowerCase();if("area"===j){var i=g.parentNode,h=i.name,f;if(!g.href||!h||i.nodeName.toLowerCase()!=="map"){return false}f=a("img[usemap=#"+h+"]")[0];return !!f&&b(f)}return(/input|select|textarea|button|object/.test(j)?!g.disabled:"a"==j?g.href||e:e)&&b(g)}function b(e){return !a(e).parents().andSelf().filter(function(){return a.curCSS(this,"visibility")==="hidden"||a.expr.filters.hidden(this)}).length}a.extend(a.expr[":"],{data:function(g,f,e){return !!a.data(g,e[3])},focusable:function(e){return c(e,!isNaN(a.attr(e,"tabindex")))},tabbable:function(g){var e=a.attr(g,"tabindex"),f=isNaN(e);return(f||e>=0)&&c(g,!f)}});a(function(){var e=document.body,f=e.appendChild(f=document.createElement("div"));f.offsetHeight;a.extend(f.style,{minHeight:"100px",height:"auto",padding:0,borderWidth:0});a.support.minHeight=f.offsetHeight===100;a.support.selectstart="onselectstart" in f;e.removeChild(f).style.display="none"});a.extend(a.ui,{plugin:{add:function(f,g,j){var h=a.ui[f].prototype;for(var e in j){h.plugins[e]=h.plugins[e]||[];h.plugins[e].push([g,j[e]])}},call:function(e,g,f){var j=e.plugins[g];if(!j||!e.element[0].parentNode){return}for(var h=0;h<j.length;h++){if(e.options[j[h][0]]){j[h][1].apply(e.element,f)}}}},contains:function(f,e){return document.compareDocumentPosition?f.compareDocumentPosition(e)&16:f!==e&&f.contains(e)},hasScroll:function(h,f){if(a(h).css("overflow")==="hidden"){return false}var e=(f&&f==="left")?"scrollLeft":"scrollTop",g=false;if(h[e]>0){return true}h[e]=1;g=(h[e]>0);h[e]=0;return g},isOverAxis:function(f,e,g){return(f>e)&&(f<(e+g))},isOver:function(j,f,i,h,e,g){return a.ui.isOverAxis(j,i,e)&&a.ui.isOverAxis(f,h,g)}})})(jQuery);/*!
+ * jQuery UI Widget 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Widget
+ */
+(function(b,d){if(b.cleanData){var c=b.cleanData;b.cleanData=function(f){for(var g=0,h;(h=f[g])!=null;g++){try{b(h).triggerHandler("remove")}catch(j){}}c(f)}}else{var a=b.fn.remove;b.fn.remove=function(e,f){return this.each(function(){if(!f){if(!e||b.filter(e,[this]).length){b("*",this).add([this]).each(function(){try{b(this).triggerHandler("remove")}catch(g){}})}}return a.call(b(this),e,f)})}}b.widget=function(f,h,e){var g=f.split(".")[0],j;f=f.split(".")[1];j=g+"-"+f;if(!e){e=h;h=b.Widget}b.expr[":"][j]=function(k){return !!b.data(k,f)};b[g]=b[g]||{};b[g][f]=function(k,l){if(arguments.length){this._createWidget(k,l)}};var i=new h();i.options=b.extend(true,{},i.options);b[g][f].prototype=b.extend(true,i,{namespace:g,widgetName:f,widgetEventPrefix:b[g][f].prototype.widgetEventPrefix||f,widgetBaseClass:j},e);b.widget.bridge(f,b[g][f])};b.widget.bridge=function(f,e){b.fn[f]=function(i){var g=typeof i==="string",h=Array.prototype.slice.call(arguments,1),j=this;i=!g&&h.length?b.extend.apply(null,[true,i].concat(h)):i;if(g&&i.charAt(0)==="_"){return j}if(g){this.each(function(){var k=b.data(this,f),l=k&&b.isFunction(k[i])?k[i].apply(k,h):k;if(l!==k&&l!==d){j=l;return false}})}else{this.each(function(){var k=b.data(this,f);if(k){k.option(i||{})._init()}else{b.data(this,f,new e(i,this))}})}return j}};b.Widget=function(e,f){if(arguments.length){this._createWidget(e,f)}};b.Widget.prototype={widgetName:"widget",widgetEventPrefix:"",options:{disabled:false},_createWidget:function(f,g){b.data(g,this.widgetName,this);this.element=b(g);this.options=b.extend(true,{},this.options,this._getCreateOptions(),f);var e=this;this.element.bind("remove."+this.widgetName,function(){e.destroy()});this._create();this._trigger("create");this._init()},_getCreateOptions:function(){return b.metadata&&b.metadata.get(this.element[0])[this.widgetName]},_create:function(){},_init:function(){},destroy:function(){this.element.unbind("."+this.widgetName).removeData(this.widgetName);this.widget().unbind("."+this.widgetName).removeAttr("aria-disabled").removeClass(this.widgetBaseClass+"-disabled ui-state-disabled")},widget:function(){return this.element},option:function(f,g){var e=f;if(arguments.length===0){return b.extend({},this.options)}if(typeof f==="string"){if(g===d){return this.options[f]}e={};e[f]=g}this._setOptions(e);return this},_setOptions:function(f){var e=this;b.each(f,function(g,h){e._setOption(g,h)});return this},_setOption:function(e,f){this.options[e]=f;if(e==="disabled"){this.widget()[f?"addClass":"removeClass"](this.widgetBaseClass+"-disabled ui-state-disabled").attr("aria-disabled",f)}return this},enable:function(){return this._setOption("disabled",false)},disable:function(){return this._setOption("disabled",true)},_trigger:function(e,f,g){var j,i,h=this.options[e];g=g||{};f=b.Event(f);f.type=(e===this.widgetEventPrefix?e:this.widgetEventPrefix+e).toLowerCase();f.target=this.element[0];i=f.originalEvent;if(i){for(j in i){if(!(j in f)){f[j]=i[j]}}}this.element.trigger(f,g);return !(b.isFunction(h)&&h.call(this.element[0],f,g)===false||f.isDefaultPrevented())}}})(jQuery);/*!
+ * jQuery UI Mouse 1.8.18
+ *
+ * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about)
+ * Dual licensed under the MIT or GPL Version 2 licenses.
+ * http://jquery.org/license
+ *
+ * http://docs.jquery.com/UI/Mouse
+ *
+ * Depends:
+ *	jquery.ui.widget.js
+ */
+(function(b,c){var a=false;b(document).mouseup(function(d){a=false});b.widget("ui.mouse",{options:{cancel:":input,option",distance:1,delay:0},_mouseInit:function(){var d=this;this.element.bind("mousedown."+this.widgetName,function(e){return d._mouseDown(e)}).bind("click."+this.widgetName,function(e){if(true===b.data(e.target,d.widgetName+".preventClickEvent")){b.removeData(e.target,d.widgetName+".preventClickEvent");e.stopImmediatePropagation();return false}});this.started=false},_mouseDestroy:function(){this.element.unbind("."+this.widgetName)},_mouseDown:function(f){if(a){return}(this._mouseStarted&&this._mouseUp(f));this._mouseDownEvent=f;var e=this,g=(f.which==1),d=(typeof this.options.cancel=="string"&&f.target.nodeName?b(f.target).closest(this.options.cancel).length:false);if(!g||d||!this._mouseCapture(f)){return true}this.mouseDelayMet=!this.options.delay;if(!this.mouseDelayMet){this._mouseDelayTimer=setTimeout(function(){e.mouseDelayMet=true},this.options.delay)}if(this._mouseDistanceMet(f)&&this._mouseDelayMet(f)){this._mouseStarted=(this._mouseStart(f)!==false);if(!this._mouseStarted){f.preventDefault();return true}}if(true===b.data(f.target,this.widgetName+".preventClickEvent")){b.removeData(f.target,this.widgetName+".preventClickEvent")}this._mouseMoveDelegate=function(h){return e._mouseMove(h)};this._mouseUpDelegate=function(h){return e._mouseUp(h)};b(document).bind("mousemove."+this.widgetName,this._mouseMoveDelegate).bind("mouseup."+this.widgetName,this._mouseUpDelegate);f.preventDefault();a=true;return true},_mouseMove:function(d){if(b.browser.msie&&!(document.documentMode>=9)&&!d.button){return this._mouseUp(d)}if(this._mouseStarted){this._mouseDrag(d);return d.preventDefault()}if(this._mouseDistanceMet(d)&&this._mouseDelayMet(d)){this._mouseStarted=(this._mouseStart(this._mouseDownEvent,d)!==false);(this._mouseStarted?this._mouseDrag(d):this._mouseUp(d))}return !this._mouseStarted},_mouseUp:function(d){b(document).unbind("mousemove."+this.widgetName,this._mouseMoveDelegate).unbind("mouseup."+this.widgetName,this._mouseUpDelegate);if(this._mouseStarted){this._mouseStarted=false;if(d.target==this._mouseDownEvent.target){b.data(d.target,this.widgetName+".preventClickEvent",true)}this._mouseStop(d)}return false},_mouseDistanceMet:function(d){return(Math.max(Math.abs(this._mouseDownEvent.pageX-d.pageX),Math.abs(this._mouseDownEvent.pageY-d.pageY))>=this.options.distance)},_mouseDelayMet:function(d){return this.mouseDelayMet},_mouseStart:function(d){},_mouseDrag:function(d){},_mouseStop:function(d){},_mouseCapture:function(d){return true}})})(jQuery);(function(c,d){c.widget("ui.resizable",c.ui.mouse,{widgetEventPrefix:"resize",options:{alsoResize:false,animate:false,animateDuration:"slow",animateEasing:"swing",aspectRatio:false,autoHide:false,containment:false,ghost:false,grid:false,handles:"e,s,se",helper:false,maxHeight:null,maxWidth:null,minHeight:10,minWidth:10,zIndex:1000},_create:function(){var f=this,k=this.options;this.element.addClass("ui-resizable");c.extend(this,{_aspectRatio:!!(k.aspectRatio),aspectRatio:k.aspectRatio,originalElement:this.element,_proportionallyResizeElements:[],_helper:k.helper||k.ghost||k.animate?k.helper||"ui-resizable-helper":null});if(this.element[0].nodeName.match(/canvas|textarea|input|select|button|img/i)){this.element.wrap(c('<div class="ui-wrapper" style="overflow: 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l=this.handles.split(",");this.handles={};for(var g=0;g<l.length;g++){var j=c.trim(l[g]),e="ui-resizable-"+j;var h=c('<div class="ui-resizable-handle '+e+'"></div>');if(/sw|se|ne|nw/.test(j)){h.css({zIndex:++k.zIndex})}if("se"==j){h.addClass("ui-icon ui-icon-gripsmall-diagonal-se")}this.handles[j]=".ui-resizable-"+j;this.element.append(h)}}this._renderAxis=function(q){q=q||this.element;for(var n in this.handles){if(this.handles[n].constructor==String){this.handles[n]=c(this.handles[n],this.element).show()}if(this.elementIsWrapper&&this.originalElement[0].nodeName.match(/textarea|input|select|button/i)){var o=c(this.handles[n],this.element),p=0;p=/sw|ne|nw|se|n|s/.test(n)?o.outerHeight():o.outerWidth();var m=["padding",/ne|nw|n/.test(n)?"Top":/se|sw|s/.test(n)?"Bottom":/^e$/.test(n)?"Right":"Left"].join("");q.css(m,p);this._proportionallyResize()}if(!c(this.handles[n]).length){continue}}};this._renderAxis(this.element);this._handles=c(".ui-resizable-handle",this.element).disableSelection();this._handles.mouseover(function(){if(!f.resizing){if(this.className){var i=this.className.match(/ui-resizable-(se|sw|ne|nw|n|e|s|w)/i)}f.axis=i&&i[1]?i[1]:"se"}});if(k.autoHide){this._handles.hide();c(this.element).addClass("ui-resizable-autohide").hover(function(){if(k.disabled){return}c(this).removeClass("ui-resizable-autohide");f._handles.show()},function(){if(k.disabled){return}if(!f.resizing){c(this).addClass("ui-resizable-autohide");f._handles.hide()}})}this._mouseInit()},destroy:function(){this._mouseDestroy();var e=function(g){c(g).removeClass("ui-resizable ui-resizable-disabled ui-resizable-resizing").removeData("resizable").unbind(".resizable").find(".ui-resizable-handle").remove()};if(this.elementIsWrapper){e(this.element);var f=this.element;f.after(this.originalElement.css({position:f.css("position"),width:f.outerWidth(),height:f.outerHeight(),top:f.css("top"),left:f.css("left")})).remove()}this.originalElement.css("resize",this.originalResizeStyle);e(this.originalElement);return this},_mouseCapture:function(f){var g=false;for(var e in this.handles){if(c(this.handles[e])[0]==f.target){g=true}}return !this.options.disabled&&g},_mouseStart:function(g){var j=this.options,f=this.element.position(),e=this.element;this.resizing=true;this.documentScroll={top:c(document).scrollTop(),left:c(document).scrollLeft()};if(e.is(".ui-draggable")||(/absolute/).test(e.css("position"))){e.css({position:"absolute",top:f.top,left:f.left})}this._renderProxy();var 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+ * Dual licensed under the MIT and GPL licenses.
+ * http://benalman.com/about/license/
+ */
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+<div class="title">lb_constrain.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__constrain_8hpp_source.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="lb__constrain_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a02477dd575f3d242826df72489faac4c"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TL &gt; </td></tr>
+<tr class="memitem:a02477dd575f3d242826df72489faac4c"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a02477dd575f3d242826df72489faac4c">stan::math::lb_constrain</a> (const T x, const TL lb)</td></tr>
+<tr class="memdesc:a02477dd575f3d242826df72489faac4c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the lower-bounded value for the specified unconstrained input and specified lower bound.  <a href="namespacestan_1_1math.html#a02477dd575f3d242826df72489faac4c">More...</a><br /></td></tr>
+<tr class="separator:a02477dd575f3d242826df72489faac4c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a8344b3154a81f8601776582238bac99f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the lower-bounded value for the speicifed unconstrained input and specified lower bound, incrementing the specified reference with the log absolute Jacobian determinant of the transform.  <a href="namespacestan_1_1math.html#a8344b3154a81f8601776582238bac99f">More...</a><br /></td></tr>
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+<a href="lb__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LB_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LB_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__constrain_8hpp.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="comment">// LOWER BOUND</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> TL&gt;</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">if</span> (lb == -std::numeric_limits&lt;double&gt;::infinity())</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
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+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">if</span> (lb == -std::numeric_limits&lt;double&gt;::infinity())</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a02477dd575f3d242826df72489faac4c"><div class="ttname"><a href="namespacestan_1_1math.html#a02477dd575f3d242826df72489faac4c">stan::math::lb_constrain</a></div><div class="ttdeci">T lb_constrain(const T x, const TL lb)</div><div class="ttdoc">Return the lower-bounded value for the specified unconstrained input and specified lower bound...</div><div class="ttdef"><b>Definition:</b> <a href="lb__constrain_8hpp_source.html#l00035">lb_constrain.hpp:35</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="identity__constrain_8hpp_html"><div class="ttname"><a href="identity__constrain_8hpp.html">identity_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_afa7ea9a437cf38e48ec72cec173d7465"><div class="ttname"><a href="namespacestan_1_1math.html#afa7ea9a437cf38e48ec72cec173d7465">stan::math::identity_constrain</a></div><div class="ttdeci">T identity_constrain(T x)</div><div class="ttdoc">Returns the result of applying the identity constraint transform to the input. </div><div class="ttdef"><b>Definition:</b> <a href="identity__constrain_8hpp_source.html#l00022">identity_constrain.hpp:22</a></div></div>
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+<div class="title">lb_free.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="identity__free_8hpp_source.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="lb__free_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a0e416b7c30dd2ea4fc78254732fa8a52"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TL &gt; </td></tr>
+<tr class="memitem:a0e416b7c30dd2ea4fc78254732fa8a52"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T, TL &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0e416b7c30dd2ea4fc78254732fa8a52">stan::math::lb_free</a> (const T y, const TL lb)</td></tr>
+<tr class="memdesc:a0e416b7c30dd2ea4fc78254732fa8a52"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unconstrained value that produces the specified lower-bound constrained value.  <a href="namespacestan_1_1math.html#a0e416b7c30dd2ea4fc78254732fa8a52">More...</a><br /></td></tr>
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+<a href="lb__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LB_FREE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LB_FREE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__free_8hpp.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> TL&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T, TL&gt;::type</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keywordflow">if</span> (lb == -std::numeric_limits&lt;double&gt;::infinity())</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>(<span class="stringliteral">&quot;stan::math::lb_free&quot;</span>,</div>
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+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;}</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="identity__free_8hpp_html"><div class="ttname"><a href="identity__free_8hpp.html">identity_free.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac50a1ae328bd1f7195b0c77a16a684ab"><div class="ttname"><a href="namespacestan_1_1math.html#ac50a1ae328bd1f7195b0c77a16a684ab">stan::math::identity_free</a></div><div class="ttdeci">T identity_free(const T y)</div><div class="ttdoc">Returns the result of applying the inverse of the identity constraint transform to the input...</div><div class="ttdef"><b>Definition:</b> <a href="identity__free_8hpp_source.html#l00021">identity_free.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0e416b7c30dd2ea4fc78254732fa8a52"><div class="ttname"><a href="namespacestan_1_1math.html#a0e416b7c30dd2ea4fc78254732fa8a52">stan::math::lb_free</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T, TL &gt;::type lb_free(const T y, const TL lb)</div><div class="ttdoc">Return the unconstrained value that produces the specified lower-bound constrained value...</div><div class="ttdef"><b>Definition:</b> <a href="lb__free_8hpp_source.html#l00032">lb_free.hpp:32</a></div></div>
+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
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+<p><a href="likely_8hpp_source.html">Go to the source code of this file.</a></p>
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+Macros</h2></td></tr>
+<tr class="memitem:a8f6ab779c863595b1d7bcce5489cd104"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="likely_8hpp.html#a8f6ab779c863595b1d7bcce5489cd104">likely</a>(x)      &#160;&#160;&#160;(x)</td></tr>
+<tr class="separator:a8f6ab779c863595b1d7bcce5489cd104"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a58059a6664c486561d2641a07440ad1a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memproto">
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+          <td class="memname">#define likely</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">x</td><td>)</td>
+          <td>&#160;&#160;&#160;(x)</td>
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+
+<p>Definition at line <a class="el" href="likely_8hpp_source.html#l00008">8</a> of file <a class="el" href="likely_8hpp_source.html">likely.hpp</a>.</p>
+
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+          <td class="memname">#define unlikely</td>
+          <td>(</td>
+          <td class="paramtype">&#160;</td>
+          <td class="paramname">x</td><td>)</td>
+          <td>&#160;&#160;&#160;(x)</td>
+        </tr>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="likely_8hpp_source.html#l00009">9</a> of file <a class="el" href="likely_8hpp_source.html">likely.hpp</a>.</p>
+
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+<a href="likely_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_LIKELY_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_LIKELY_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#ifdef __GNUC__</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#define likely(x)      __builtin_expect(!!(x), 1)</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#define unlikely(x)    __builtin_expect(!!(x), 0)</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno"><a class="line" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">    9</a></span>&#160;<span class="preprocessor">#define unlikely(x)   (x)</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
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diff --git a/doc/api/html/lkj__corr__cholesky__log_8hpp.html b/doc/api/html/lkj__corr__cholesky__log_8hpp.html
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+<div class="title">lkj_corr_cholesky_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/factor_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor___u_8hpp_source.html">stan/math/prim/mat/fun/factor_U.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr___l_8hpp_source.html">stan/math/prim/mat/fun/read_corr_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_corr_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__cov___l_8hpp_source.html">stan/math/prim/mat/fun/read_cov_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="make__nu_8hpp_source.html">stan/math/prim/mat/fun/make_nu.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__constrain_8hpp_source.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__free_8hpp_source.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__constrain_8hpp_source.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__free_8hpp_source.html">stan/math/prim/scal/fun/positive_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__constrain_8hpp_source.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__free_8hpp_source.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__constrain_8hpp_source.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__free_8hpp_source.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__constrain_8hpp_source.html">stan/math/prim/scal/fun/lub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__free_8hpp_source.html">stan/math/prim/scal/fun/lub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__constrain_8hpp_source.html">stan/math/prim/scal/fun/prob_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__free_8hpp_source.html">stan/math/prim/scal/fun/prob_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__constrain_8hpp_source.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__free_8hpp_source.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="simplex__constrain_8hpp_source.html">stan/math/prim/mat/fun/simplex_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="simplex__free_8hpp_source.html">stan/math/prim/mat/fun/simplex_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__constrain_8hpp_source.html">stan/math/prim/mat/fun/ordered_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__free_8hpp_source.html">stan/math/prim/mat/fun/ordered_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__ordered__constrain_8hpp_source.html">stan/math/prim/mat/fun/positive_ordered_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__ordered__free_8hpp_source.html">stan/math/prim/mat/fun/positive_ordered_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__factor__constrain_8hpp_source.html">stan/math/prim/mat/fun/cholesky_factor_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__factor__free_8hpp_source.html">stan/math/prim/mat/fun/cholesky_factor_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__corr__constrain_8hpp_source.html">stan/math/prim/mat/fun/cholesky_corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__corr__free_8hpp_source.html">stan/math/prim/mat/fun/cholesky_corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__matrix__constrain_8hpp_source.html">stan/math/prim/mat/fun/corr_matrix_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__matrix__free_8hpp_source.html">stan/math/prim/mat/fun/corr_matrix_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__constrain_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__free_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__constrain__lkj_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_constrain_lkj.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__free__lkj_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_free_lkj.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lkj__corr__log_8hpp_source.html">stan/math/prim/mat/prob/lkj_corr_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+</div>
+<p><a href="lkj__corr__cholesky__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0399f5f1c54dbda27be7f12d7d888e1d"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_covar , typename T_shape &gt; </td></tr>
+<tr class="memitem:a0399f5f1c54dbda27be7f12d7d888e1d"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_covar, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0399f5f1c54dbda27be7f12d7d888e1d">stan::math::lkj_corr_cholesky_log</a> (const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;L, const T_shape &amp;eta)</td></tr>
+<tr class="separator:a0399f5f1c54dbda27be7f12d7d888e1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac6e9853bf29b95ed22f4342bd2ac1629"><td class="memTemplParams" colspan="2">template&lt;typename T_covar , typename T_shape &gt; </td></tr>
+<tr class="memitem:ac6e9853bf29b95ed22f4342bd2ac1629"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_covar, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac6e9853bf29b95ed22f4342bd2ac1629">stan::math::lkj_corr_cholesky_log</a> (const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;L, const T_shape &amp;eta)</td></tr>
+<tr class="separator:ac6e9853bf29b95ed22f4342bd2ac1629"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">lkj_corr_cholesky_log.hpp</div>  </div>
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+<div class="contents">
+<a href="lkj__corr__cholesky__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_LKJ_CORR_CHOLESKY_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_LKJ_CORR_CHOLESKY_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="factor__cov__matrix_8hpp.html">stan/math/prim/mat/fun/factor_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="factor___u_8hpp.html">stan/math/prim/mat/fun/factor_U.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__corr___l_8hpp.html">stan/math/prim/mat/fun/read_corr_L.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__corr__matrix_8hpp.html">stan/math/prim/mat/fun/read_corr_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__cov___l_8hpp.html">stan/math/prim/mat/fun/read_cov_L.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__cov__matrix_8hpp.html">stan/math/prim/mat/fun/read_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="make__nu_8hpp.html">stan/math/prim/mat/fun/make_nu.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__constrain_8hpp.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__free_8hpp.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__constrain_8hpp.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__free_8hpp.html">stan/math/prim/scal/fun/positive_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__constrain_8hpp.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__free_8hpp.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__constrain_8hpp.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__free_8hpp.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lub__constrain_8hpp.html">stan/math/prim/scal/fun/lub_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lub__free_8hpp.html">stan/math/prim/scal/fun/lub_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prob__constrain_8hpp.html">stan/math/prim/scal/fun/prob_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prob__free_8hpp.html">stan/math/prim/scal/fun/prob_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__constrain_8hpp.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__free_8hpp.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="simplex__constrain_8hpp.html">stan/math/prim/mat/fun/simplex_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="simplex__free_8hpp.html">stan/math/prim/mat/fun/simplex_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ordered__constrain_8hpp.html">stan/math/prim/mat/fun/ordered_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ordered__free_8hpp.html">stan/math/prim/mat/fun/ordered_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__ordered__constrain_8hpp.html">stan/math/prim/mat/fun/positive_ordered_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__ordered__free_8hpp.html">stan/math/prim/mat/fun/positive_ordered_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__factor__constrain_8hpp.html">stan/math/prim/mat/fun/cholesky_factor_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__factor__free_8hpp.html">stan/math/prim/mat/fun/cholesky_factor_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__corr__constrain_8hpp.html">stan/math/prim/mat/fun/cholesky_corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__corr__free_8hpp.html">stan/math/prim/mat/fun/cholesky_corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__matrix__constrain_8hpp.html">stan/math/prim/mat/fun/corr_matrix_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__matrix__free_8hpp.html">stan/math/prim/mat/fun/corr_matrix_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__constrain_8hpp.html">stan/math/prim/mat/fun/cov_matrix_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__free_8hpp.html">stan/math/prim/mat/fun/cov_matrix_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__constrain__lkj_8hpp.html">stan/math/prim/mat/fun/cov_matrix_constrain_lkj.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__free__lkj_8hpp.html">stan/math/prim/mat/fun/cov_matrix_free_lkj.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lkj__corr__log_8hpp.html">stan/math/prim/mat/prob/lkj_corr_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="comment">// LKJ_Corr(L|eta) [ L Cholesky factor of correlation matrix</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="comment">//                  eta &gt; 0; eta == 1 &lt;-&gt; uniform]</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;              <span class="keyword">typename</span> T_covar, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_covar, T_shape&gt;::type</div>
+<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0399f5f1c54dbda27be7f12d7d888e1d">   56</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0399f5f1c54dbda27be7f12d7d888e1d">lkj_corr_cholesky_log</a>(<span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                          &lt;T_covar, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; L,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                          <span class="keyword">const</span> T_shape&amp; eta) {</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::lkj_corr_cholesky_log&quot;</span>);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#acd07dd6b395becbbd349814c0e55c0d9">stan::math::check_lower_triangular</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> promote_args&lt;T_covar, T_shape&gt;::type lp_ret;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      lp_ret lp(0.0);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, eta);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="namespacestan_1_1math.html#acd07dd6b395becbbd349814c0e55c0d9">check_lower_triangular</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, L);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> K = L.rows();</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">if</span> (K == 0)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#a3832e36ec9ea72ce740753adb3b0d132">do_lkj_constant</a>(eta, K);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_covar, T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">int</span> Km1 = K - 1;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        Eigen::Matrix&lt;T_covar, Eigen::Dynamic, 1&gt; log_diagonals =</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          L.diagonal().tail(Km1).array().log();</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        Eigen::Matrix&lt;lp_ret, Eigen::Dynamic, 1&gt; values(Km1);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; Km1; k++)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          values(k) = (Km1 - k - 1) * log_diagonals(k);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keywordflow">if</span> ( (eta == 1.0) &amp;&amp;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;             <a class="code" href="structstan_1_1is__constant.html">stan::is_constant&lt;typename stan::scalar_type&lt;T_shape&gt;</a> &gt;::value) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          lp += <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>(values);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          <span class="keywordflow">return</span>(lp);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        }</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        values += <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">multiply</a>(2.0 * eta - 2.0, log_diagonals);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>(values);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_covar, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_covar, T_shape&gt;::type</div>
+<div class="line"><a name="l00099"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac6e9853bf29b95ed22f4342bd2ac1629">   99</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0399f5f1c54dbda27be7f12d7d888e1d">lkj_corr_cholesky_log</a>(<span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                          &lt;T_covar, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; L,</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                          <span class="keyword">const</span> T_shape&amp; eta) {</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">return</span> lkj_corr_cholesky_log&lt;false&gt;(L, eta);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;}</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="ub__constrain_8hpp_html"><div class="ttname"><a href="ub__constrain_8hpp.html">ub_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="factor___u_8hpp_html"><div class="ttname"><a href="factor___u_8hpp.html">factor_U.hpp</a></div></div>
+<div class="ttc" id="lkj__corr__log_8hpp_html"><div class="ttname"><a href="lkj__corr__log_8hpp.html">lkj_corr_log.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant_html"><div class="ttname"><a href="structstan_1_1is__constant.html">stan::is_constant</a></div><div class="ttdoc">Metaprogramming struct to detect whether a given type is constant in the mathematical sense (not the ...</div><div class="ttdef"><b>Definition:</b> <a href="is__constant_8hpp_source.html#l00022">is_constant.hpp:22</a></div></div>
+<div class="ttc" id="cov__matrix__free__lkj_8hpp_html"><div class="ttname"><a href="cov__matrix__free__lkj_8hpp.html">cov_matrix_free_lkj.hpp</a></div></div>
+<div class="ttc" id="positive__free_8hpp_html"><div class="ttname"><a href="positive__free_8hpp.html">positive_free.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="lb__free_8hpp_html"><div class="ttname"><a href="lb__free_8hpp.html">lb_free.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a35a69b84ead3c81cbaff702ac429e1cc"><div class="ttname"><a href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; multiply(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;m, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00021">multiply.hpp:21</a></div></div>
+<div class="ttc" id="cov__matrix__free_8hpp_html"><div class="ttname"><a href="cov__matrix__free_8hpp.html">cov_matrix_free.hpp</a></div></div>
+<div class="ttc" id="corr__matrix__constrain_8hpp_html"><div class="ttname"><a href="corr__matrix__constrain_8hpp.html">corr_matrix_constrain.hpp</a></div></div>
+<div class="ttc" id="cholesky__factor__free_8hpp_html"><div class="ttname"><a href="cholesky__factor__free_8hpp.html">cholesky_factor_free.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="corr__constrain_8hpp_html"><div class="ttname"><a href="corr__constrain_8hpp.html">corr_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_acd07dd6b395becbbd349814c0e55c0d9"><div class="ttname"><a href="namespacestan_1_1math.html#acd07dd6b395becbbd349814c0e55c0d9">stan::math::check_lower_triangular</a></div><div class="ttdeci">bool check_lower_triangular(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is lower triangular. </div><div class="ttdef"><b>Definition:</b> <a href="check__lower__triangular_8hpp_source.html#l00034">check_lower_triangular.hpp:34</a></div></div>
+<div class="ttc" id="prob__free_8hpp_html"><div class="ttname"><a href="prob__free_8hpp.html">prob_free.hpp</a></div></div>
+<div class="ttc" id="ordered__constrain_8hpp_html"><div class="ttname"><a href="ordered__constrain_8hpp.html">ordered_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0399f5f1c54dbda27be7f12d7d888e1d"><div class="ttname"><a href="namespacestan_1_1math.html#a0399f5f1c54dbda27be7f12d7d888e1d">stan::math::lkj_corr_cholesky_log</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T_covar, T_shape &gt;::type lkj_corr_cholesky_log(const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;L, const T_shape &amp;eta)</div><div class="ttdef"><b>Definition:</b> <a href="lkj__corr__cholesky__log_8hpp_source.html#l00056">lkj_corr_cholesky_log.hpp:56</a></div></div>
+<div class="ttc" id="cov__matrix__constrain__lkj_8hpp_html"><div class="ttname"><a href="cov__matrix__constrain__lkj_8hpp.html">cov_matrix_constrain_lkj.hpp</a></div></div>
+<div class="ttc" id="read__cov___l_8hpp_html"><div class="ttname"><a href="read__cov___l_8hpp.html">read_cov_L.hpp</a></div></div>
+<div class="ttc" id="simplex__free_8hpp_html"><div class="ttname"><a href="simplex__free_8hpp.html">simplex_free.hpp</a></div></div>
+<div class="ttc" id="cholesky__corr__constrain_8hpp_html"><div class="ttname"><a href="cholesky__corr__constrain_8hpp.html">cholesky_corr_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="identity__free_8hpp_html"><div class="ttname"><a href="identity__free_8hpp.html">identity_free.hpp</a></div></div>
+<div class="ttc" id="simplex__constrain_8hpp_html"><div class="ttname"><a href="simplex__constrain_8hpp.html">simplex_constrain.hpp</a></div></div>
+<div class="ttc" id="prob__constrain_8hpp_html"><div class="ttname"><a href="prob__constrain_8hpp.html">prob_constrain.hpp</a></div></div>
+<div class="ttc" id="cholesky__factor__constrain_8hpp_html"><div class="ttname"><a href="cholesky__factor__constrain_8hpp.html">cholesky_factor_constrain.hpp</a></div></div>
+<div class="ttc" id="factor__cov__matrix_8hpp_html"><div class="ttname"><a href="factor__cov__matrix_8hpp.html">factor_cov_matrix.hpp</a></div></div>
+<div class="ttc" id="ub__free_8hpp_html"><div class="ttname"><a href="ub__free_8hpp.html">ub_free.hpp</a></div></div>
+<div class="ttc" id="cholesky__corr__free_8hpp_html"><div class="ttname"><a href="cholesky__corr__free_8hpp.html">cholesky_corr_free.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="cov__matrix__constrain_8hpp_html"><div class="ttname"><a href="cov__matrix__constrain_8hpp.html">cov_matrix_constrain.hpp</a></div></div>
+<div class="ttc" id="identity__constrain_8hpp_html"><div class="ttname"><a href="identity__constrain_8hpp.html">identity_constrain.hpp</a></div></div>
+<div class="ttc" id="positive__ordered__constrain_8hpp_html"><div class="ttname"><a href="positive__ordered__constrain_8hpp.html">positive_ordered_constrain.hpp</a></div></div>
+<div class="ttc" id="positive__constrain_8hpp_html"><div class="ttname"><a href="positive__constrain_8hpp.html">positive_constrain.hpp</a></div></div>
+<div class="ttc" id="lub__constrain_8hpp_html"><div class="ttname"><a href="lub__constrain_8hpp.html">lub_constrain.hpp</a></div></div>
+<div class="ttc" id="read__cov__matrix_8hpp_html"><div class="ttname"><a href="read__cov__matrix_8hpp.html">read_cov_matrix.hpp</a></div></div>
+<div class="ttc" id="read__corr__matrix_8hpp_html"><div class="ttname"><a href="read__corr__matrix_8hpp.html">read_corr_matrix.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3832e36ec9ea72ce740753adb3b0d132"><div class="ttname"><a href="namespacestan_1_1math.html#a3832e36ec9ea72ce740753adb3b0d132">stan::math::do_lkj_constant</a></div><div class="ttdeci">T_shape do_lkj_constant(const T_shape &amp;eta, const unsigned int &amp;K)</div><div class="ttdef"><b>Definition:</b> <a href="lkj__corr__log_8hpp_source.html#l00053">lkj_corr_log.hpp:53</a></div></div>
+<div class="ttc" id="read__corr___l_8hpp_html"><div class="ttname"><a href="read__corr___l_8hpp.html">read_corr_L.hpp</a></div></div>
+<div class="ttc" id="lub__free_8hpp_html"><div class="ttname"><a href="lub__free_8hpp.html">lub_free.hpp</a></div></div>
+<div class="ttc" id="positive__ordered__free_8hpp_html"><div class="ttname"><a href="positive__ordered__free_8hpp.html">positive_ordered_free.hpp</a></div></div>
+<div class="ttc" id="corr__matrix__free_8hpp_html"><div class="ttname"><a href="corr__matrix__free_8hpp.html">corr_matrix_free.hpp</a></div></div>
+<div class="ttc" id="make__nu_8hpp_html"><div class="ttname"><a href="make__nu_8hpp.html">make_nu.hpp</a></div></div>
+<div class="ttc" id="lb__constrain_8hpp_html"><div class="ttname"><a href="lb__constrain_8hpp.html">lb_constrain.hpp</a></div></div>
+<div class="ttc" id="ordered__free_8hpp_html"><div class="ttname"><a href="ordered__free_8hpp.html">ordered_free.hpp</a></div></div>
+<div class="ttc" id="corr__free_8hpp_html"><div class="ttname"><a href="corr__free_8hpp.html">corr_free.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+  <span style="float:left; margin=0 1em 0 1em;">
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diff --git a/doc/api/html/lkj__corr__cholesky__rng_8hpp.html b/doc/api/html/lkj__corr__cholesky__rng_8hpp.html
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">lkj_corr_cholesky_rng.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__rng_8hpp_source.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/factor_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor___u_8hpp_source.html">stan/math/prim/mat/fun/factor_U.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr___l_8hpp_source.html">stan/math/prim/mat/fun/read_corr_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_corr_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__cov___l_8hpp_source.html">stan/math/prim/mat/fun/read_cov_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="make__nu_8hpp_source.html">stan/math/prim/mat/fun/make_nu.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__constrain_8hpp_source.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__free_8hpp_source.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__constrain_8hpp_source.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__free_8hpp_source.html">stan/math/prim/scal/fun/positive_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__constrain_8hpp_source.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__free_8hpp_source.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__constrain_8hpp_source.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__free_8hpp_source.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__constrain_8hpp_source.html">stan/math/prim/scal/fun/lub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__free_8hpp_source.html">stan/math/prim/scal/fun/lub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__constrain_8hpp_source.html">stan/math/prim/scal/fun/prob_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__free_8hpp_source.html">stan/math/prim/scal/fun/prob_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__constrain_8hpp_source.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__free_8hpp_source.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="simplex__constrain_8hpp_source.html">stan/math/prim/mat/fun/simplex_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="simplex__free_8hpp_source.html">stan/math/prim/mat/fun/simplex_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__constrain_8hpp_source.html">stan/math/prim/mat/fun/ordered_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__free_8hpp_source.html">stan/math/prim/mat/fun/ordered_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__ordered__constrain_8hpp_source.html">stan/math/prim/mat/fun/positive_ordered_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__ordered__free_8hpp_source.html">stan/math/prim/mat/fun/positive_ordered_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__factor__constrain_8hpp_source.html">stan/math/prim/mat/fun/cholesky_factor_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__factor__free_8hpp_source.html">stan/math/prim/mat/fun/cholesky_factor_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__corr__constrain_8hpp_source.html">stan/math/prim/mat/fun/cholesky_corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__corr__free_8hpp_source.html">stan/math/prim/mat/fun/cholesky_corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__matrix__constrain_8hpp_source.html">stan/math/prim/mat/fun/corr_matrix_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__matrix__free_8hpp_source.html">stan/math/prim/mat/fun/corr_matrix_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__constrain_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__free_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__constrain__lkj_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_constrain_lkj.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__free__lkj_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_free_lkj.hpp</a>&gt;</code><br />
+</div>
+<p><a href="lkj__corr__cholesky__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a873e4c1def8700568d76f9296bbd8d24"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a873e4c1def8700568d76f9296bbd8d24"><td class="memTemplItemLeft" align="right" valign="top">Eigen::MatrixXd&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a873e4c1def8700568d76f9296bbd8d24">stan::math::lkj_corr_cholesky_rng</a> (const size_t K, const double eta, RNG &amp;rng)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">lkj_corr_cholesky_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="lkj__corr__cholesky__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_LKJ_CORR_CHOLESKY_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_LKJ_CORR_CHOLESKY_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__rng_8hpp.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="factor__cov__matrix_8hpp.html">stan/math/prim/mat/fun/factor_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="factor___u_8hpp.html">stan/math/prim/mat/fun/factor_U.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__corr___l_8hpp.html">stan/math/prim/mat/fun/read_corr_L.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__corr__matrix_8hpp.html">stan/math/prim/mat/fun/read_corr_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__cov___l_8hpp.html">stan/math/prim/mat/fun/read_cov_L.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__cov__matrix_8hpp.html">stan/math/prim/mat/fun/read_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="make__nu_8hpp.html">stan/math/prim/mat/fun/make_nu.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__constrain_8hpp.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__free_8hpp.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__constrain_8hpp.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__free_8hpp.html">stan/math/prim/scal/fun/positive_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__constrain_8hpp.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__free_8hpp.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__constrain_8hpp.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__free_8hpp.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lub__constrain_8hpp.html">stan/math/prim/scal/fun/lub_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lub__free_8hpp.html">stan/math/prim/scal/fun/lub_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prob__constrain_8hpp.html">stan/math/prim/scal/fun/prob_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prob__free_8hpp.html">stan/math/prim/scal/fun/prob_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__constrain_8hpp.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__free_8hpp.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="simplex__constrain_8hpp.html">stan/math/prim/mat/fun/simplex_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="simplex__free_8hpp.html">stan/math/prim/mat/fun/simplex_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ordered__constrain_8hpp.html">stan/math/prim/mat/fun/ordered_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ordered__free_8hpp.html">stan/math/prim/mat/fun/ordered_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__ordered__constrain_8hpp.html">stan/math/prim/mat/fun/positive_ordered_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__ordered__free_8hpp.html">stan/math/prim/mat/fun/positive_ordered_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__factor__constrain_8hpp.html">stan/math/prim/mat/fun/cholesky_factor_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__factor__free_8hpp.html">stan/math/prim/mat/fun/cholesky_factor_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__corr__constrain_8hpp.html">stan/math/prim/mat/fun/cholesky_corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__corr__free_8hpp.html">stan/math/prim/mat/fun/cholesky_corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__matrix__constrain_8hpp.html">stan/math/prim/mat/fun/corr_matrix_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__matrix__free_8hpp.html">stan/math/prim/mat/fun/corr_matrix_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__constrain_8hpp.html">stan/math/prim/mat/fun/cov_matrix_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__free_8hpp.html">stan/math/prim/mat/fun/cov_matrix_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__constrain__lkj_8hpp.html">stan/math/prim/mat/fun/cov_matrix_constrain_lkj.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__free__lkj_8hpp.html">stan/math/prim/mat/fun/cov_matrix_free_lkj.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="keyword">inline</span> Eigen::MatrixXd</div>
+<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a873e4c1def8700568d76f9296bbd8d24">   52</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a873e4c1def8700568d76f9296bbd8d24">lkj_corr_cholesky_rng</a>(<span class="keyword">const</span> <span class="keywordtype">size_t</span> K,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                          <span class="keyword">const</span> <span class="keywordtype">double</span> eta,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                          RNG&amp; rng) {</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::lkj_corr_cholesky_rng&quot;</span>);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, eta);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      Eigen::ArrayXd CPCs((K * (K - 1)) / 2);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordtype">double</span> alpha = eta + 0.5 * (K - 1);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> count = 0;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; (K - 1); i++) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        alpha -= 0.5;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = i + 1; j &lt; K; j++) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;          CPCs(count) = 2.0 * <a class="code" href="namespacestan_1_1math.html#a7fa2015614535f45c2cb6d5f544643d0">stan::math::beta_rng</a>(alpha, alpha, rng) - 1.0;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;          count++;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        }</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      }</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a57f4b9ccc58d2d03aec434abb0795e41">stan::math::read_corr_L</a>(CPCs, K);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    }</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;  }</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;}</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="ub__constrain_8hpp_html"><div class="ttname"><a href="ub__constrain_8hpp.html">ub_constrain.hpp</a></div></div>
+<div class="ttc" id="factor___u_8hpp_html"><div class="ttname"><a href="factor___u_8hpp.html">factor_U.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7fa2015614535f45c2cb6d5f544643d0"><div class="ttname"><a href="namespacestan_1_1math.html#a7fa2015614535f45c2cb6d5f544643d0">stan::math::beta_rng</a></div><div class="ttdeci">double beta_rng(const double alpha, const double beta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="beta__rng_8hpp_source.html#l00029">beta_rng.hpp:29</a></div></div>
+<div class="ttc" id="cov__matrix__free__lkj_8hpp_html"><div class="ttname"><a href="cov__matrix__free__lkj_8hpp.html">cov_matrix_free_lkj.hpp</a></div></div>
+<div class="ttc" id="positive__free_8hpp_html"><div class="ttname"><a href="positive__free_8hpp.html">positive_free.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="lb__free_8hpp_html"><div class="ttname"><a href="lb__free_8hpp.html">lb_free.hpp</a></div></div>
+<div class="ttc" id="cov__matrix__free_8hpp_html"><div class="ttname"><a href="cov__matrix__free_8hpp.html">cov_matrix_free.hpp</a></div></div>
+<div class="ttc" id="corr__matrix__constrain_8hpp_html"><div class="ttname"><a href="corr__matrix__constrain_8hpp.html">corr_matrix_constrain.hpp</a></div></div>
+<div class="ttc" id="cholesky__factor__free_8hpp_html"><div class="ttname"><a href="cholesky__factor__free_8hpp.html">cholesky_factor_free.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="corr__constrain_8hpp_html"><div class="ttname"><a href="corr__constrain_8hpp.html">corr_constrain.hpp</a></div></div>
+<div class="ttc" id="prob__free_8hpp_html"><div class="ttname"><a href="prob__free_8hpp.html">prob_free.hpp</a></div></div>
+<div class="ttc" id="ordered__constrain_8hpp_html"><div class="ttname"><a href="ordered__constrain_8hpp.html">ordered_constrain.hpp</a></div></div>
+<div class="ttc" id="cov__matrix__constrain__lkj_8hpp_html"><div class="ttname"><a href="cov__matrix__constrain__lkj_8hpp.html">cov_matrix_constrain_lkj.hpp</a></div></div>
+<div class="ttc" id="beta__rng_8hpp_html"><div class="ttname"><a href="beta__rng_8hpp.html">beta_rng.hpp</a></div></div>
+<div class="ttc" id="read__cov___l_8hpp_html"><div class="ttname"><a href="read__cov___l_8hpp.html">read_cov_L.hpp</a></div></div>
+<div class="ttc" id="simplex__free_8hpp_html"><div class="ttname"><a href="simplex__free_8hpp.html">simplex_free.hpp</a></div></div>
+<div class="ttc" id="cholesky__corr__constrain_8hpp_html"><div class="ttname"><a href="cholesky__corr__constrain_8hpp.html">cholesky_corr_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="identity__free_8hpp_html"><div class="ttname"><a href="identity__free_8hpp.html">identity_free.hpp</a></div></div>
+<div class="ttc" id="simplex__constrain_8hpp_html"><div class="ttname"><a href="simplex__constrain_8hpp.html">simplex_constrain.hpp</a></div></div>
+<div class="ttc" id="prob__constrain_8hpp_html"><div class="ttname"><a href="prob__constrain_8hpp.html">prob_constrain.hpp</a></div></div>
+<div class="ttc" id="cholesky__factor__constrain_8hpp_html"><div class="ttname"><a href="cholesky__factor__constrain_8hpp.html">cholesky_factor_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a57f4b9ccc58d2d03aec434abb0795e41"><div class="ttname"><a href="namespacestan_1_1math.html#a57f4b9ccc58d2d03aec434abb0795e41">stan::math::read_corr_L</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; read_corr_L(const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, const size_t K)</div><div class="ttdoc">Return the Cholesky factor of the correlation matrix of the specified dimensionality corresponding to...</div><div class="ttdef"><b>Definition:</b> <a href="read__corr___l_8hpp_source.html#l00041">read_corr_L.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a873e4c1def8700568d76f9296bbd8d24"><div class="ttname"><a href="namespacestan_1_1math.html#a873e4c1def8700568d76f9296bbd8d24">stan::math::lkj_corr_cholesky_rng</a></div><div class="ttdeci">Eigen::MatrixXd lkj_corr_cholesky_rng(const size_t K, const double eta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="lkj__corr__cholesky__rng_8hpp_source.html#l00052">lkj_corr_cholesky_rng.hpp:52</a></div></div>
+<div class="ttc" id="factor__cov__matrix_8hpp_html"><div class="ttname"><a href="factor__cov__matrix_8hpp.html">factor_cov_matrix.hpp</a></div></div>
+<div class="ttc" id="ub__free_8hpp_html"><div class="ttname"><a href="ub__free_8hpp.html">ub_free.hpp</a></div></div>
+<div class="ttc" id="cholesky__corr__free_8hpp_html"><div class="ttname"><a href="cholesky__corr__free_8hpp.html">cholesky_corr_free.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="cov__matrix__constrain_8hpp_html"><div class="ttname"><a href="cov__matrix__constrain_8hpp.html">cov_matrix_constrain.hpp</a></div></div>
+<div class="ttc" id="identity__constrain_8hpp_html"><div class="ttname"><a href="identity__constrain_8hpp.html">identity_constrain.hpp</a></div></div>
+<div class="ttc" id="positive__ordered__constrain_8hpp_html"><div class="ttname"><a href="positive__ordered__constrain_8hpp.html">positive_ordered_constrain.hpp</a></div></div>
+<div class="ttc" id="positive__constrain_8hpp_html"><div class="ttname"><a href="positive__constrain_8hpp.html">positive_constrain.hpp</a></div></div>
+<div class="ttc" id="lub__constrain_8hpp_html"><div class="ttname"><a href="lub__constrain_8hpp.html">lub_constrain.hpp</a></div></div>
+<div class="ttc" id="read__cov__matrix_8hpp_html"><div class="ttname"><a href="read__cov__matrix_8hpp.html">read_cov_matrix.hpp</a></div></div>
+<div class="ttc" id="read__corr__matrix_8hpp_html"><div class="ttname"><a href="read__corr__matrix_8hpp.html">read_corr_matrix.hpp</a></div></div>
+<div class="ttc" id="read__corr___l_8hpp_html"><div class="ttname"><a href="read__corr___l_8hpp.html">read_corr_L.hpp</a></div></div>
+<div class="ttc" id="lub__free_8hpp_html"><div class="ttname"><a href="lub__free_8hpp.html">lub_free.hpp</a></div></div>
+<div class="ttc" id="positive__ordered__free_8hpp_html"><div class="ttname"><a href="positive__ordered__free_8hpp.html">positive_ordered_free.hpp</a></div></div>
+<div class="ttc" id="corr__matrix__free_8hpp_html"><div class="ttname"><a href="corr__matrix__free_8hpp.html">corr_matrix_free.hpp</a></div></div>
+<div class="ttc" id="make__nu_8hpp_html"><div class="ttname"><a href="make__nu_8hpp.html">make_nu.hpp</a></div></div>
+<div class="ttc" id="lb__constrain_8hpp_html"><div class="ttname"><a href="lb__constrain_8hpp.html">lb_constrain.hpp</a></div></div>
+<div class="ttc" id="ordered__free_8hpp_html"><div class="ttname"><a href="ordered__free_8hpp.html">ordered_free.hpp</a></div></div>
+<div class="ttc" id="corr__free_8hpp_html"><div class="ttname"><a href="corr__free_8hpp.html">corr_free.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <i>&copy; 2011&ndash;2016,
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diff --git a/doc/api/html/lkj__corr__log_8hpp.html b/doc/api/html/lkj__corr__log_8hpp.html
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<a href="#namespaces">Namespaces</a> &#124;
+<a href="#func-members">Functions</a>  </div>
+  <div class="headertitle">
+<div class="title">lkj_corr_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__corr__matrix_8hpp_source.html">stan/math/prim/mat/err/check_corr_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/factor_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor___u_8hpp_source.html">stan/math/prim/mat/fun/factor_U.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr___l_8hpp_source.html">stan/math/prim/mat/fun/read_corr_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_corr_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__cov___l_8hpp_source.html">stan/math/prim/mat/fun/read_cov_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="make__nu_8hpp_source.html">stan/math/prim/mat/fun/make_nu.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__constrain_8hpp_source.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__free_8hpp_source.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__constrain_8hpp_source.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__free_8hpp_source.html">stan/math/prim/scal/fun/positive_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__constrain_8hpp_source.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__free_8hpp_source.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__constrain_8hpp_source.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__free_8hpp_source.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__constrain_8hpp_source.html">stan/math/prim/scal/fun/lub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__free_8hpp_source.html">stan/math/prim/scal/fun/lub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__constrain_8hpp_source.html">stan/math/prim/scal/fun/prob_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__free_8hpp_source.html">stan/math/prim/scal/fun/prob_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__constrain_8hpp_source.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__free_8hpp_source.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="simplex__constrain_8hpp_source.html">stan/math/prim/mat/fun/simplex_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="simplex__free_8hpp_source.html">stan/math/prim/mat/fun/simplex_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__constrain_8hpp_source.html">stan/math/prim/mat/fun/ordered_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__free_8hpp_source.html">stan/math/prim/mat/fun/ordered_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__ordered__constrain_8hpp_source.html">stan/math/prim/mat/fun/positive_ordered_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__ordered__free_8hpp_source.html">stan/math/prim/mat/fun/positive_ordered_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__factor__constrain_8hpp_source.html">stan/math/prim/mat/fun/cholesky_factor_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__factor__free_8hpp_source.html">stan/math/prim/mat/fun/cholesky_factor_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__corr__constrain_8hpp_source.html">stan/math/prim/mat/fun/cholesky_corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__corr__free_8hpp_source.html">stan/math/prim/mat/fun/cholesky_corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__matrix__constrain_8hpp_source.html">stan/math/prim/mat/fun/corr_matrix_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__matrix__free_8hpp_source.html">stan/math/prim/mat/fun/corr_matrix_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__constrain_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__free_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__constrain__lkj_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_constrain_lkj.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__free__lkj_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_free_lkj.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+</div>
+<p><a href="lkj__corr__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a3832e36ec9ea72ce740753adb3b0d132"><td class="memTemplParams" colspan="2">template&lt;typename T_shape &gt; </td></tr>
+<tr class="memitem:a3832e36ec9ea72ce740753adb3b0d132"><td class="memTemplItemLeft" align="right" valign="top">T_shape&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3832e36ec9ea72ce740753adb3b0d132">stan::math::do_lkj_constant</a> (const T_shape &amp;eta, const unsigned int &amp;K)</td></tr>
+<tr class="separator:a3832e36ec9ea72ce740753adb3b0d132"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af0cb454dc9397439a74c185da61a3d5e"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_shape &gt; </td></tr>
+<tr class="memitem:af0cb454dc9397439a74c185da61a3d5e"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_y, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af0cb454dc9397439a74c185da61a3d5e">stan::math::lkj_corr_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const T_shape &amp;eta)</td></tr>
+<tr class="separator:af0cb454dc9397439a74c185da61a3d5e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a015685882d7704cd76e15e5966e42b5e"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape &gt; </td></tr>
+<tr class="memitem:a015685882d7704cd76e15e5966e42b5e"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_y, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a015685882d7704cd76e15e5966e42b5e">stan::math::lkj_corr_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const T_shape &amp;eta)</td></tr>
+<tr class="separator:a015685882d7704cd76e15e5966e42b5e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">lkj_corr_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="lkj__corr__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_LKJ_CORR_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_LKJ_CORR_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__corr__matrix_8hpp.html">stan/math/prim/mat/err/check_corr_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="factor__cov__matrix_8hpp.html">stan/math/prim/mat/fun/factor_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="factor___u_8hpp.html">stan/math/prim/mat/fun/factor_U.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__corr___l_8hpp.html">stan/math/prim/mat/fun/read_corr_L.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__corr__matrix_8hpp.html">stan/math/prim/mat/fun/read_corr_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__cov___l_8hpp.html">stan/math/prim/mat/fun/read_cov_L.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__cov__matrix_8hpp.html">stan/math/prim/mat/fun/read_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="make__nu_8hpp.html">stan/math/prim/mat/fun/make_nu.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__constrain_8hpp.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__free_8hpp.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__constrain_8hpp.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__free_8hpp.html">stan/math/prim/scal/fun/positive_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__constrain_8hpp.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__free_8hpp.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__constrain_8hpp.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__free_8hpp.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lub__constrain_8hpp.html">stan/math/prim/scal/fun/lub_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lub__free_8hpp.html">stan/math/prim/scal/fun/lub_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prob__constrain_8hpp.html">stan/math/prim/scal/fun/prob_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prob__free_8hpp.html">stan/math/prim/scal/fun/prob_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__constrain_8hpp.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__free_8hpp.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="simplex__constrain_8hpp.html">stan/math/prim/mat/fun/simplex_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="simplex__free_8hpp.html">stan/math/prim/mat/fun/simplex_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ordered__constrain_8hpp.html">stan/math/prim/mat/fun/ordered_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ordered__free_8hpp.html">stan/math/prim/mat/fun/ordered_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__ordered__constrain_8hpp.html">stan/math/prim/mat/fun/positive_ordered_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__ordered__free_8hpp.html">stan/math/prim/mat/fun/positive_ordered_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__factor__constrain_8hpp.html">stan/math/prim/mat/fun/cholesky_factor_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__factor__free_8hpp.html">stan/math/prim/mat/fun/cholesky_factor_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__corr__constrain_8hpp.html">stan/math/prim/mat/fun/cholesky_corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__corr__free_8hpp.html">stan/math/prim/mat/fun/cholesky_corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__matrix__constrain_8hpp.html">stan/math/prim/mat/fun/corr_matrix_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__matrix__free_8hpp.html">stan/math/prim/mat/fun/corr_matrix_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__constrain_8hpp.html">stan/math/prim/mat/fun/cov_matrix_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__free_8hpp.html">stan/math/prim/mat/fun/cov_matrix_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__constrain__lkj_8hpp.html">stan/math/prim/mat/fun/cov_matrix_constrain_lkj.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__free__lkj_8hpp.html">stan/math/prim/mat/fun/cov_matrix_free_lkj.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2sum_8hpp.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3832e36ec9ea72ce740753adb3b0d132">   53</a></span>&#160;    T_shape <a class="code" href="namespacestan_1_1math.html#a3832e36ec9ea72ce740753adb3b0d132">do_lkj_constant</a>(<span class="keyword">const</span> T_shape&amp; eta, <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span>&amp; K) {</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="comment">// Lewandowski, Kurowicka, and Joe (2009) theorem 5</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      T_shape constant;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">int</span> Km1 = K - 1;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keywordflow">if</span> (eta == 1.0) {</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="comment">// C++ integer division is appropriate in this block</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        Eigen::VectorXd numerator(Km1 / 2);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 1; k &lt;= numerator.rows(); k++)</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;          numerator(k-1) = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(2 * k);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        constant = <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>(numerator);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keywordflow">if</span> ( (K % 2) == 1 )</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;          constant += 0.25 * (K * K - 1) * <a class="code" href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">LOG_PI</a></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            - 0.25 * (Km1 * Km1) * <a class="code" href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">LOG_TWO</a> - Km1 * <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>((K + 1) / 2);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          constant += 0.25 * K * (K - 2) * <a class="code" href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">LOG_PI</a></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;            + 0.25 * (3 * K * K - 4 * K) * <a class="code" href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">LOG_TWO</a></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;            + K * <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(K / 2) - Km1 * <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(K);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        constant = -Km1 * <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(eta + 0.5 * Km1);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 1; k &lt;= Km1; k++)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          constant += 0.5 * k * <a class="code" href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">LOG_PI</a> + <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(eta + 0.5 * (Km1 - k));</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      }</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">return</span> constant;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    }</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <span class="comment">// LKJ_Corr(y|eta) [ y correlation matrix (not covariance matrix)</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    <span class="comment">//                  eta &gt; 0; eta == 1 &lt;-&gt; uniform]</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_y, T_shape&gt;::type</div>
+<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af0cb454dc9397439a74c185da61a3d5e">   86</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#af0cb454dc9397439a74c185da61a3d5e">lkj_corr_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y,</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                 <span class="keyword">const</span> T_shape&amp; eta) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::lkj_corr_log&quot;</span>);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a4f56159e67a4047107cc552702abaa6c">stan::math::check_corr_matrix</a>;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a>;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keyword">typename</span> promote_args&lt;T_y, T_shape&gt;::type lp(0.0);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, eta);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a4f56159e67a4047107cc552702abaa6c">check_corr_matrix</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Correlation matrix&quot;</span>, y);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> K = y.rows();</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">if</span> (K == 0)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#a3832e36ec9ea72ce740753adb3b0d132">do_lkj_constant</a>(eta, K);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="keywordflow">if</span> ( (eta == 1.0) &amp;&amp;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;           <a class="code" href="structstan_1_1is__constant.html">stan::is_constant</a>&lt;<span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type.html">stan::scalar_type&lt;T_shape&gt;</a> &gt;::value )</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      Eigen::Matrix&lt;T_y, Eigen::Dynamic, 1&gt; values =</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        y.ldlt().vectorD().array().log().matrix();</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      lp += (eta - 1.0) * <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>(values);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    }</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
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+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_y, T_shape&gt;::type</div>
+<div class="line"><a name="l00122"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a015685882d7704cd76e15e5966e42b5e">  122</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#af0cb454dc9397439a74c185da61a3d5e">lkj_corr_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y,</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                 <span class="keyword">const</span> T_shape&amp; eta) {</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      <span class="keywordflow">return</span> lkj_corr_log&lt;false&gt;(y, eta);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    }</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;  }</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;}</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="ub__constrain_8hpp_html"><div class="ttname"><a href="ub__constrain_8hpp.html">ub_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="factor___u_8hpp_html"><div class="ttname"><a href="factor___u_8hpp.html">factor_U.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant_html"><div class="ttname"><a href="structstan_1_1is__constant.html">stan::is_constant</a></div><div class="ttdoc">Metaprogramming struct to detect whether a given type is constant in the mathematical sense (not the ...</div><div class="ttdef"><b>Definition:</b> <a href="is__constant_8hpp_source.html#l00022">is_constant.hpp:22</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1scalar__type_html"><div class="ttname"><a href="structstan_1_1scalar__type.html">stan::scalar_type</a></div><div class="ttdoc">Metaprogram structure to determine the base scalar type of a template argument. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2scalar__type_8hpp_source.html#l00034">scalar_type.hpp:34</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0cb454dc9397439a74c185da61a3d5e"><div class="ttname"><a href="namespacestan_1_1math.html#af0cb454dc9397439a74c185da61a3d5e">stan::math::lkj_corr_log</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T_y, T_shape &gt;::type lkj_corr_log(const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const T_shape &amp;eta)</div><div class="ttdef"><b>Definition:</b> <a href="lkj__corr__log_8hpp_source.html#l00086">lkj_corr_log.hpp:86</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aead76f03bdbc60484ad760fc31bad40f"><div class="ttname"><a href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a></div><div class="ttdeci">fvar&lt; T &gt; lgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">lgamma.hpp:15</a></div></div>
+<div class="ttc" id="cov__matrix__free__lkj_8hpp_html"><div class="ttname"><a href="cov__matrix__free__lkj_8hpp.html">cov_matrix_free_lkj.hpp</a></div></div>
+<div class="ttc" id="positive__free_8hpp_html"><div class="ttname"><a href="positive__free_8hpp.html">positive_free.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af6dd9cf6abfd8930528d3635890982b1"><div class="ttname"><a href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">stan::math::LOG_PI</a></div><div class="ttdeci">const double LOG_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00170">constants.hpp:170</a></div></div>
+<div class="ttc" id="lb__free_8hpp_html"><div class="ttname"><a href="lb__free_8hpp.html">lb_free.hpp</a></div></div>
+<div class="ttc" id="cov__matrix__free_8hpp_html"><div class="ttname"><a href="cov__matrix__free_8hpp.html">cov_matrix_free.hpp</a></div></div>
+<div class="ttc" id="corr__matrix__constrain_8hpp_html"><div class="ttname"><a href="corr__matrix__constrain_8hpp.html">corr_matrix_constrain.hpp</a></div></div>
+<div class="ttc" id="cholesky__factor__free_8hpp_html"><div class="ttname"><a href="cholesky__factor__free_8hpp.html">cholesky_factor_free.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad7a5d92de812b4b632801cf8e32dbe7d"><div class="ttname"><a href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">stan::math::LOG_TWO</a></div><div class="ttdeci">const double LOG_TWO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00177">constants.hpp:177</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="corr__constrain_8hpp_html"><div class="ttname"><a href="corr__constrain_8hpp.html">corr_constrain.hpp</a></div></div>
+<div class="ttc" id="prob__free_8hpp_html"><div class="ttname"><a href="prob__free_8hpp.html">prob_free.hpp</a></div></div>
+<div class="ttc" id="ordered__constrain_8hpp_html"><div class="ttname"><a href="ordered__constrain_8hpp.html">ordered_constrain.hpp</a></div></div>
+<div class="ttc" id="check__corr__matrix_8hpp_html"><div class="ttname"><a href="check__corr__matrix_8hpp.html">check_corr_matrix.hpp</a></div></div>
+<div class="ttc" id="cov__matrix__constrain__lkj_8hpp_html"><div class="ttname"><a href="cov__matrix__constrain__lkj_8hpp.html">cov_matrix_constrain_lkj.hpp</a></div></div>
+<div class="ttc" id="read__cov___l_8hpp_html"><div class="ttname"><a href="read__cov___l_8hpp.html">read_cov_L.hpp</a></div></div>
+<div class="ttc" id="simplex__free_8hpp_html"><div class="ttname"><a href="simplex__free_8hpp.html">simplex_free.hpp</a></div></div>
+<div class="ttc" id="cholesky__corr__constrain_8hpp_html"><div class="ttname"><a href="cholesky__corr__constrain_8hpp.html">cholesky_corr_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="identity__free_8hpp_html"><div class="ttname"><a href="identity__free_8hpp.html">identity_free.hpp</a></div></div>
+<div class="ttc" id="simplex__constrain_8hpp_html"><div class="ttname"><a href="simplex__constrain_8hpp.html">simplex_constrain.hpp</a></div></div>
+<div class="ttc" id="prob__constrain_8hpp_html"><div class="ttname"><a href="prob__constrain_8hpp.html">prob_constrain.hpp</a></div></div>
+<div class="ttc" id="cholesky__factor__constrain_8hpp_html"><div class="ttname"><a href="cholesky__factor__constrain_8hpp.html">cholesky_factor_constrain.hpp</a></div></div>
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+<div class="ttc" id="factor__cov__matrix_8hpp_html"><div class="ttname"><a href="factor__cov__matrix_8hpp.html">factor_cov_matrix.hpp</a></div></div>
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+<div class="ttc" id="cholesky__corr__free_8hpp_html"><div class="ttname"><a href="cholesky__corr__free_8hpp.html">cholesky_corr_free.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="cov__matrix__constrain_8hpp_html"><div class="ttname"><a href="cov__matrix__constrain_8hpp.html">cov_matrix_constrain.hpp</a></div></div>
+<div class="ttc" id="identity__constrain_8hpp_html"><div class="ttname"><a href="identity__constrain_8hpp.html">identity_constrain.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2sum_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2sum_8hpp.html">sum.hpp</a></div></div>
+<div class="ttc" id="positive__ordered__constrain_8hpp_html"><div class="ttname"><a href="positive__ordered__constrain_8hpp.html">positive_ordered_constrain.hpp</a></div></div>
+<div class="ttc" id="positive__constrain_8hpp_html"><div class="ttname"><a href="positive__constrain_8hpp.html">positive_constrain.hpp</a></div></div>
+<div class="ttc" id="lub__constrain_8hpp_html"><div class="ttname"><a href="lub__constrain_8hpp.html">lub_constrain.hpp</a></div></div>
+<div class="ttc" id="read__cov__matrix_8hpp_html"><div class="ttname"><a href="read__cov__matrix_8hpp.html">read_cov_matrix.hpp</a></div></div>
+<div class="ttc" id="read__corr__matrix_8hpp_html"><div class="ttname"><a href="read__corr__matrix_8hpp.html">read_corr_matrix.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3832e36ec9ea72ce740753adb3b0d132"><div class="ttname"><a href="namespacestan_1_1math.html#a3832e36ec9ea72ce740753adb3b0d132">stan::math::do_lkj_constant</a></div><div class="ttdeci">T_shape do_lkj_constant(const T_shape &amp;eta, const unsigned int &amp;K)</div><div class="ttdef"><b>Definition:</b> <a href="lkj__corr__log_8hpp_source.html#l00053">lkj_corr_log.hpp:53</a></div></div>
+<div class="ttc" id="read__corr___l_8hpp_html"><div class="ttname"><a href="read__corr___l_8hpp.html">read_corr_L.hpp</a></div></div>
+<div class="ttc" id="lub__free_8hpp_html"><div class="ttname"><a href="lub__free_8hpp.html">lub_free.hpp</a></div></div>
+<div class="ttc" id="positive__ordered__free_8hpp_html"><div class="ttname"><a href="positive__ordered__free_8hpp.html">positive_ordered_free.hpp</a></div></div>
+<div class="ttc" id="corr__matrix__free_8hpp_html"><div class="ttname"><a href="corr__matrix__free_8hpp.html">corr_matrix_free.hpp</a></div></div>
+<div class="ttc" id="make__nu_8hpp_html"><div class="ttname"><a href="make__nu_8hpp.html">make_nu.hpp</a></div></div>
+<div class="ttc" id="lb__constrain_8hpp_html"><div class="ttname"><a href="lb__constrain_8hpp.html">lb_constrain.hpp</a></div></div>
+<div class="ttc" id="ordered__free_8hpp_html"><div class="ttname"><a href="ordered__free_8hpp.html">ordered_free.hpp</a></div></div>
+<div class="ttc" id="corr__free_8hpp_html"><div class="ttname"><a href="corr__free_8hpp.html">corr_free.hpp</a></div></div>
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diff --git a/doc/api/html/lkj__corr__rng_8hpp.html b/doc/api/html/lkj__corr__rng_8hpp.html
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+<div class="title">lkj_corr_rng.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/factor_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor___u_8hpp_source.html">stan/math/prim/mat/fun/factor_U.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr___l_8hpp_source.html">stan/math/prim/mat/fun/read_corr_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_corr_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__cov___l_8hpp_source.html">stan/math/prim/mat/fun/read_cov_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="make__nu_8hpp_source.html">stan/math/prim/mat/fun/make_nu.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__constrain_8hpp_source.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__free_8hpp_source.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__constrain_8hpp_source.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__free_8hpp_source.html">stan/math/prim/scal/fun/positive_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__constrain_8hpp_source.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__free_8hpp_source.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__constrain_8hpp_source.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__free_8hpp_source.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__constrain_8hpp_source.html">stan/math/prim/scal/fun/lub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__free_8hpp_source.html">stan/math/prim/scal/fun/lub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__constrain_8hpp_source.html">stan/math/prim/scal/fun/prob_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__free_8hpp_source.html">stan/math/prim/scal/fun/prob_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__constrain_8hpp_source.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__free_8hpp_source.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="simplex__constrain_8hpp_source.html">stan/math/prim/mat/fun/simplex_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="simplex__free_8hpp_source.html">stan/math/prim/mat/fun/simplex_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__constrain_8hpp_source.html">stan/math/prim/mat/fun/ordered_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__free_8hpp_source.html">stan/math/prim/mat/fun/ordered_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__ordered__constrain_8hpp_source.html">stan/math/prim/mat/fun/positive_ordered_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__ordered__free_8hpp_source.html">stan/math/prim/mat/fun/positive_ordered_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__factor__constrain_8hpp_source.html">stan/math/prim/mat/fun/cholesky_factor_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__factor__free_8hpp_source.html">stan/math/prim/mat/fun/cholesky_factor_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__corr__constrain_8hpp_source.html">stan/math/prim/mat/fun/cholesky_corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__corr__free_8hpp_source.html">stan/math/prim/mat/fun/cholesky_corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__matrix__constrain_8hpp_source.html">stan/math/prim/mat/fun/corr_matrix_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__matrix__free_8hpp_source.html">stan/math/prim/mat/fun/corr_matrix_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__constrain_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__free_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__constrain__lkj_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_constrain_lkj.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__free__lkj_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_free_lkj.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lkj__corr__cholesky__rng_8hpp_source.html">stan/math/prim/mat/prob/lkj_corr_cholesky_rng.hpp</a>&gt;</code><br />
+</div>
+<p><a href="lkj__corr__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a7a32027fc9306df3c5a0418fa44826fa"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a7a32027fc9306df3c5a0418fa44826fa"><td class="memTemplItemLeft" align="right" valign="top">Eigen::MatrixXd&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7a32027fc9306df3c5a0418fa44826fa">stan::math::lkj_corr_rng</a> (const size_t K, const double eta, RNG &amp;rng)</td></tr>
+<tr class="separator:a7a32027fc9306df3c5a0418fa44826fa"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">lkj_corr_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="lkj__corr__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_LKJ_CORR_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_LKJ_CORR_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="factor__cov__matrix_8hpp.html">stan/math/prim/mat/fun/factor_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="factor___u_8hpp.html">stan/math/prim/mat/fun/factor_U.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__corr___l_8hpp.html">stan/math/prim/mat/fun/read_corr_L.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__corr__matrix_8hpp.html">stan/math/prim/mat/fun/read_corr_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__cov___l_8hpp.html">stan/math/prim/mat/fun/read_cov_L.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="read__cov__matrix_8hpp.html">stan/math/prim/mat/fun/read_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="make__nu_8hpp.html">stan/math/prim/mat/fun/make_nu.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__constrain_8hpp.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__free_8hpp.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__constrain_8hpp.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__free_8hpp.html">stan/math/prim/scal/fun/positive_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__constrain_8hpp.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__free_8hpp.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__constrain_8hpp.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__free_8hpp.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lub__constrain_8hpp.html">stan/math/prim/scal/fun/lub_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lub__free_8hpp.html">stan/math/prim/scal/fun/lub_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prob__constrain_8hpp.html">stan/math/prim/scal/fun/prob_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prob__free_8hpp.html">stan/math/prim/scal/fun/prob_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__constrain_8hpp.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__free_8hpp.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="simplex__constrain_8hpp.html">stan/math/prim/mat/fun/simplex_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="simplex__free_8hpp.html">stan/math/prim/mat/fun/simplex_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ordered__constrain_8hpp.html">stan/math/prim/mat/fun/ordered_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ordered__free_8hpp.html">stan/math/prim/mat/fun/ordered_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__ordered__constrain_8hpp.html">stan/math/prim/mat/fun/positive_ordered_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__ordered__free_8hpp.html">stan/math/prim/mat/fun/positive_ordered_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__factor__constrain_8hpp.html">stan/math/prim/mat/fun/cholesky_factor_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__factor__free_8hpp.html">stan/math/prim/mat/fun/cholesky_factor_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__corr__constrain_8hpp.html">stan/math/prim/mat/fun/cholesky_corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__corr__free_8hpp.html">stan/math/prim/mat/fun/cholesky_corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__matrix__constrain_8hpp.html">stan/math/prim/mat/fun/corr_matrix_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__matrix__free_8hpp.html">stan/math/prim/mat/fun/corr_matrix_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__constrain_8hpp.html">stan/math/prim/mat/fun/cov_matrix_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__free_8hpp.html">stan/math/prim/mat/fun/cov_matrix_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__constrain__lkj_8hpp.html">stan/math/prim/mat/fun/cov_matrix_constrain_lkj.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__free__lkj_8hpp.html">stan/math/prim/mat/fun/cov_matrix_free_lkj.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lkj__corr__cholesky__rng_8hpp.html">stan/math/prim/mat/prob/lkj_corr_cholesky_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="keyword">inline</span> Eigen::MatrixXd</div>
+<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7a32027fc9306df3c5a0418fa44826fa">   52</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a7a32027fc9306df3c5a0418fa44826fa">lkj_corr_rng</a>(<span class="keyword">const</span> <span class="keywordtype">size_t</span> K,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                 <span class="keyword">const</span> <span class="keywordtype">double</span> eta,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                 RNG&amp; rng) {</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::lkj_corr_rng&quot;</span>);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, eta);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0d671dcfc6f4c1b4896c5d8bc4568acf">stan::math::multiply_lower_tri_self_transpose</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a0d671dcfc6f4c1b4896c5d8bc4568acf">multiply_lower_tri_self_transpose</a>(<a class="code" href="namespacestan_1_1math.html#a873e4c1def8700568d76f9296bbd8d24">lkj_corr_cholesky_rng</a>(K, eta,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                                                                     rng));</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;  }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;}</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="ub__constrain_8hpp_html"><div class="ttname"><a href="ub__constrain_8hpp.html">ub_constrain.hpp</a></div></div>
+<div class="ttc" id="factor___u_8hpp_html"><div class="ttname"><a href="factor___u_8hpp.html">factor_U.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a32027fc9306df3c5a0418fa44826fa"><div class="ttname"><a href="namespacestan_1_1math.html#a7a32027fc9306df3c5a0418fa44826fa">stan::math::lkj_corr_rng</a></div><div class="ttdeci">Eigen::MatrixXd lkj_corr_rng(const size_t K, const double eta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="lkj__corr__rng_8hpp_source.html#l00052">lkj_corr_rng.hpp:52</a></div></div>
+<div class="ttc" id="cov__matrix__free__lkj_8hpp_html"><div class="ttname"><a href="cov__matrix__free__lkj_8hpp.html">cov_matrix_free_lkj.hpp</a></div></div>
+<div class="ttc" id="positive__free_8hpp_html"><div class="ttname"><a href="positive__free_8hpp.html">positive_free.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="lb__free_8hpp_html"><div class="ttname"><a href="lb__free_8hpp.html">lb_free.hpp</a></div></div>
+<div class="ttc" id="cov__matrix__free_8hpp_html"><div class="ttname"><a href="cov__matrix__free_8hpp.html">cov_matrix_free.hpp</a></div></div>
+<div class="ttc" id="corr__matrix__constrain_8hpp_html"><div class="ttname"><a href="corr__matrix__constrain_8hpp.html">corr_matrix_constrain.hpp</a></div></div>
+<div class="ttc" id="cholesky__factor__free_8hpp_html"><div class="ttname"><a href="cholesky__factor__free_8hpp.html">cholesky_factor_free.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0d671dcfc6f4c1b4896c5d8bc4568acf"><div class="ttname"><a href="namespacestan_1_1math.html#a0d671dcfc6f4c1b4896c5d8bc4568acf">stan::math::multiply_lower_tri_self_transpose</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R, R &gt; multiply_lower_tri_self_transpose(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html#l00017">multiply_lower_tri_self_transpose.hpp:17</a></div></div>
+<div class="ttc" id="corr__constrain_8hpp_html"><div class="ttname"><a href="corr__constrain_8hpp.html">corr_constrain.hpp</a></div></div>
+<div class="ttc" id="prob__free_8hpp_html"><div class="ttname"><a href="prob__free_8hpp.html">prob_free.hpp</a></div></div>
+<div class="ttc" id="ordered__constrain_8hpp_html"><div class="ttname"><a href="ordered__constrain_8hpp.html">ordered_constrain.hpp</a></div></div>
+<div class="ttc" id="cov__matrix__constrain__lkj_8hpp_html"><div class="ttname"><a href="cov__matrix__constrain__lkj_8hpp.html">cov_matrix_constrain_lkj.hpp</a></div></div>
+<div class="ttc" id="read__cov___l_8hpp_html"><div class="ttname"><a href="read__cov___l_8hpp.html">read_cov_L.hpp</a></div></div>
+<div class="ttc" id="simplex__free_8hpp_html"><div class="ttname"><a href="simplex__free_8hpp.html">simplex_free.hpp</a></div></div>
+<div class="ttc" id="cholesky__corr__constrain_8hpp_html"><div class="ttname"><a href="cholesky__corr__constrain_8hpp.html">cholesky_corr_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="identity__free_8hpp_html"><div class="ttname"><a href="identity__free_8hpp.html">identity_free.hpp</a></div></div>
+<div class="ttc" id="simplex__constrain_8hpp_html"><div class="ttname"><a href="simplex__constrain_8hpp.html">simplex_constrain.hpp</a></div></div>
+<div class="ttc" id="prob__constrain_8hpp_html"><div class="ttname"><a href="prob__constrain_8hpp.html">prob_constrain.hpp</a></div></div>
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+<div class="ttc" id="factor__cov__matrix_8hpp_html"><div class="ttname"><a href="factor__cov__matrix_8hpp.html">factor_cov_matrix.hpp</a></div></div>
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+<div class="ttc" id="make__nu_8hpp_html"><div class="ttname"><a href="make__nu_8hpp.html">make_nu.hpp</a></div></div>
+<div class="ttc" id="lkj__corr__cholesky__rng_8hpp_html"><div class="ttname"><a href="lkj__corr__cholesky__rng_8hpp.html">lkj_corr_cholesky_rng.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lognormal__log_8hpp_source.html">stan/math/prim/scal/prob/lognormal_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lkj__corr__log_8hpp_source.html">stan/math/prim/mat/prob/lkj_corr_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+<p><a href="lkj__cov__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:a5295c9eddd1e8643bb1c9fa0fb284917"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_y, T_loc, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5295c9eddd1e8643bb1c9fa0fb284917">stan::math::lkj_cov_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_shape &amp;eta)</td></tr>
+<tr class="separator:a5295c9eddd1e8643bb1c9fa0fb284917"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="lkj__cov__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_LKJ_COV_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_LKJ_COV_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lognormal__log_8hpp.html">stan/math/prim/scal/prob/lognormal_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lkj__corr__log_8hpp.html">stan/math/prim/mat/prob/lkj_corr_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="comment">// LKJ_cov(y|mu, sigma, eta) [ y covariance matrix (not correlation matrix)</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="comment">//                         mu vector, sigma &gt; 0 vector, eta &gt; 0 ]</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">typename</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    boost::math::tools::promote_args&lt;T_y, T_loc, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a4d5d029cbf5c052432705dc9ad334df6">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4d5d029cbf5c052432705dc9ad334df6">lkj_cov_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                <span class="keyword">const</span> Eigen::Matrix&lt;T_loc, Eigen::Dynamic, 1&gt;&amp; mu,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                <span class="keyword">const</span> Eigen::Matrix&lt;T_scale, Eigen::Dynamic, 1&gt;&amp; sigma,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                <span class="keyword">const</span> T_shape&amp; eta) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::lkj_cov_log&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">typename</span> promote_args&lt;T_y, T_loc, T_scale, T_shape&gt;::type lp(0.0);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                       <span class="stringliteral">&quot;Rows of location parameter&quot;</span>, mu.rows(),</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                       <span class="stringliteral">&quot;columns of scale parameter&quot;</span>, sigma.rows());</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">check_square</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                       <span class="stringliteral">&quot;Rows of random variable&quot;</span>, y.rows(),</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                       <span class="stringliteral">&quot;rows of location parameter&quot;</span>, mu.rows());</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, eta);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="comment">// FIXME: build vectorized versions</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> m = 0; m &lt; y.rows(); ++m)</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> n = 0; n &lt; y.cols(); ++n)</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Covariance matrix&quot;</span>, y(m, n));</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> K = y.rows();</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">const</span> Eigen::Array&lt;T_y, Eigen::Dynamic, 1&gt; sds</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        = y.diagonal().array().sqrt();</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> k = 0; k &lt; K; k++) {</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        lp += lognormal_log&lt;propto&gt;(sds(k), mu(k), sigma(k));</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      }</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1is__constant.html">stan::is_constant</a>&lt;<span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type.html">stan::scalar_type&lt;T_shape&gt;</a> &gt;::value</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;          &amp;&amp; eta == 1.0) {</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="comment">// no need to rescale y into a correlation matrix</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        lp += lkj_corr_log&lt;propto, T_y, T_shape&gt;(y, eta);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      }</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      Eigen::DiagonalMatrix&lt;T_y, Eigen::Dynamic&gt; D(K);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      D.diagonal() = sds.inverse();</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      lp += lkj_corr_log&lt;propto, T_y, T_shape&gt;(D * y * D, eta);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    <span class="keyword">typename</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    boost::math::tools::promote_args&lt;T_y, T_loc, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3cfaea69c195f4531f7688a19fc7bd14">   74</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4d5d029cbf5c052432705dc9ad334df6">lkj_cov_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                <span class="keyword">const</span> Eigen::Matrix&lt;T_loc, Eigen::Dynamic, 1&gt;&amp; mu,</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                <span class="keyword">const</span> Eigen::Matrix&lt;T_scale, Eigen::Dynamic, 1&gt;&amp; sigma,</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                <span class="keyword">const</span> T_shape&amp; eta) {</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">return</span> lkj_cov_log&lt;false&gt;(y, mu, sigma, eta);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    }</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <span class="comment">// LKJ_Cov(y|mu, sigma, eta) [ y covariance matrix (not correlation matrix)</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    <span class="comment">//                         mu scalar, sigma &gt; 0 scalar, eta &gt; 0 ]</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    <span class="keyword">typename</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    boost::math::tools::promote_args&lt;T_y, T_loc, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5295c9eddd1e8643bb1c9fa0fb284917">   87</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4d5d029cbf5c052432705dc9ad334df6">lkj_cov_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                <span class="keyword">const</span> T_scale&amp; sigma,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                <span class="keyword">const</span> T_shape&amp; eta) {</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::lkj_cov_log&quot;</span>);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keyword">typename</span> promote_args&lt;T_y, T_loc, T_scale, T_shape&gt;::type lp(0.0);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, eta);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> K = y.rows();</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keyword">const</span> Eigen::Array&lt;T_y, Eigen::Dynamic, 1&gt; sds</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        = y.diagonal().array().sqrt();</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> k = 0; k &lt; K; k++) {</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        lp += lognormal_log&lt;propto&gt;(sds(k), mu, sigma);</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      }</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1is__constant.html">stan::is_constant</a>&lt;<span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type.html">stan::scalar_type&lt;T_shape&gt;</a> &gt;::value</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          &amp;&amp; eta == 1.0) {</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="comment">// no need to rescale y into a correlation matrix</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        lp += lkj_corr_log&lt;propto&gt;(y, eta);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      }</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      Eigen::DiagonalMatrix&lt;T_y, Eigen::Dynamic&gt; D(K);</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      D.diagonal() = sds.inverse();</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      lp += lkj_corr_log&lt;propto, T_y, T_shape&gt;(D * y * D, eta);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    }</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
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+Functions</h2></td></tr>
+<tr class="memitem:adc35bab2db89b3ceda66f11e1fa53ec8"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:adc35bab2db89b3ceda66f11e1fa53ec8"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adc35bab2db89b3ceda66f11e1fa53ec8">stan::math::logical_and</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:adc35bab2db89b3ceda66f11e1fa53ec8"><td class="mdescLeft">&#160;</td><td class="mdescRight">The logical and function which returns 1 if both arguments are unequal to zero and 0 otherwise.  <a href="namespacestan_1_1math.html#adc35bab2db89b3ceda66f11e1fa53ec8">More...</a><br /></td></tr>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ab2213736b55fd6696fa0120fd3fe72e4"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:ab2213736b55fd6696fa0120fd3fe72e4"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab2213736b55fd6696fa0120fd3fe72e4">stan::math::logical_eq</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:ab2213736b55fd6696fa0120fd3fe72e4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is equal to the second.  <a href="namespacestan_1_1math.html#ab2213736b55fd6696fa0120fd3fe72e4">More...</a><br /></td></tr>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab2213736b55fd6696fa0120fd3fe72e4"><div class="ttname"><a href="namespacestan_1_1math.html#ab2213736b55fd6696fa0120fd3fe72e4">stan::math::logical_eq</a></div><div class="ttdeci">int logical_eq(const T1 x1, const T2 x2)</div><div class="ttdoc">Return 1 if the first argument is equal to the second. </div><div class="ttdef"><b>Definition:</b> <a href="logical__eq_8hpp_source.html#l00019">logical_eq.hpp:19</a></div></div>
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+<tr class="memitem:aba86bfd994302061a0260e1202fca777"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aba86bfd994302061a0260e1202fca777">stan::math::logical_gt</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:aba86bfd994302061a0260e1202fca777"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is strictly greater than the second.  <a href="namespacestan_1_1math.html#aba86bfd994302061a0260e1202fca777">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_1_1math_html_aba86bfd994302061a0260e1202fca777"><div class="ttname"><a href="namespacestan_1_1math.html#aba86bfd994302061a0260e1202fca777">stan::math::logical_gt</a></div><div class="ttdeci">int logical_gt(const T1 x1, const T2 x2)</div><div class="ttdoc">Return 1 if the first argument is strictly greater than the second. </div><div class="ttdef"><b>Definition:</b> <a href="logical__gt_8hpp_source.html#l00019">logical_gt.hpp:19</a></div></div>
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+<tr class="memitem:ac6bb0b8623192207d35e207ea312d8be"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:ac6bb0b8623192207d35e207ea312d8be"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac6bb0b8623192207d35e207ea312d8be">stan::math::logical_gte</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:ac6bb0b8623192207d35e207ea312d8be"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is greater than or equal to the second.  <a href="namespacestan_1_1math.html#ac6bb0b8623192207d35e207ea312d8be">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a0b5bd91412749e10933f304b54aef88f"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a0b5bd91412749e10933f304b54aef88f"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0b5bd91412749e10933f304b54aef88f">stan::math::logical_lt</a> (T1 x1, T2 x2)</td></tr>
+<tr class="memdesc:a0b5bd91412749e10933f304b54aef88f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is strictly less than the second.  <a href="namespacestan_1_1math.html#a0b5bd91412749e10933f304b54aef88f">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0b5bd91412749e10933f304b54aef88f"><div class="ttname"><a href="namespacestan_1_1math.html#a0b5bd91412749e10933f304b54aef88f">stan::math::logical_lt</a></div><div class="ttdeci">int logical_lt(T1 x1, T2 x2)</div><div class="ttdoc">Return 1 if the first argument is strictly less than the second. </div><div class="ttdef"><b>Definition:</b> <a href="logical__lt_8hpp_source.html#l00020">logical_lt.hpp:20</a></div></div>
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+Functions</h2></td></tr>
+<tr class="memitem:af3649d4c704962c4502cd6220a5e2230"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:af3649d4c704962c4502cd6220a5e2230"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af3649d4c704962c4502cd6220a5e2230">stan::math::logical_lte</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:af3649d4c704962c4502cd6220a5e2230"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is less than or equal to the second.  <a href="namespacestan_1_1math.html#af3649d4c704962c4502cd6220a5e2230">More...</a><br /></td></tr>
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+<a href="logical__lte_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LOGICAL_LTE_HPP</span></div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af3649d4c704962c4502cd6220a5e2230">   19</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#af3649d4c704962c4502cd6220a5e2230">logical_lte</a>(<span class="keyword">const</span> T1 x1, <span class="keyword">const</span> T2 x2) {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keywordflow">return</span> x1 &lt;= x2;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    }</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  }</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af3649d4c704962c4502cd6220a5e2230"><div class="ttname"><a href="namespacestan_1_1math.html#af3649d4c704962c4502cd6220a5e2230">stan::math::logical_lte</a></div><div class="ttdeci">int logical_lte(const T1 x1, const T2 x2)</div><div class="ttdoc">Return 1 if the first argument is less than or equal to the second. </div><div class="ttdef"><b>Definition:</b> <a href="logical__lte_8hpp_source.html#l00019">logical_lte.hpp:19</a></div></div>
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+Functions</h2></td></tr>
+<tr class="memitem:aad2fc9ce55dfac079d930335beb7e4a8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aad2fc9ce55dfac079d930335beb7e4a8"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aad2fc9ce55dfac079d930335beb7e4a8">stan::math::logical_negation</a> (const T x)</td></tr>
+<tr class="memdesc:aad2fc9ce55dfac079d930335beb7e4a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">The logical negation function which returns 1 if the input is equal to zero and 0 otherwise.  <a href="namespacestan_1_1math.html#aad2fc9ce55dfac079d930335beb7e4a8">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aad2fc9ce55dfac079d930335beb7e4a8"><div class="ttname"><a href="namespacestan_1_1math.html#aad2fc9ce55dfac079d930335beb7e4a8">stan::math::logical_negation</a></div><div class="ttdeci">int logical_negation(const T x)</div><div class="ttdoc">The logical negation function which returns 1 if the input is equal to zero and 0 otherwise...</div><div class="ttdef"><b>Definition:</b> <a href="logical__negation_8hpp_source.html#l00017">logical_negation.hpp:17</a></div></div>
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+<tr class="memitem:a206eb210d8e7e2c718af25c40de8f9d1"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a206eb210d8e7e2c718af25c40de8f9d1"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a206eb210d8e7e2c718af25c40de8f9d1">stan::math::logical_neq</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:a206eb210d8e7e2c718af25c40de8f9d1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is unequal to the second.  <a href="namespacestan_1_1math.html#a206eb210d8e7e2c718af25c40de8f9d1">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a206eb210d8e7e2c718af25c40de8f9d1"><div class="ttname"><a href="namespacestan_1_1math.html#a206eb210d8e7e2c718af25c40de8f9d1">stan::math::logical_neq</a></div><div class="ttdeci">int logical_neq(const T1 x1, const T2 x2)</div><div class="ttdoc">Return 1 if the first argument is unequal to the second. </div><div class="ttdef"><b>Definition:</b> <a href="logical__neq_8hpp_source.html#l00019">logical_neq.hpp:19</a></div></div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac74007e2d5f55d5ae4a308f535869aee"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:ac74007e2d5f55d5ae4a308f535869aee"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac74007e2d5f55d5ae4a308f535869aee">stan::math::logical_or</a> (T1 x1, T2 x2)</td></tr>
+<tr class="memdesc:ac74007e2d5f55d5ae4a308f535869aee"><td class="mdescLeft">&#160;</td><td class="mdescRight">The logical or function which returns 1 if either argument is unequal to zero and 0 otherwise.  <a href="namespacestan_1_1math.html#ac74007e2d5f55d5ae4a308f535869aee">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac74007e2d5f55d5ae4a308f535869aee"><div class="ttname"><a href="namespacestan_1_1math.html#ac74007e2d5f55d5ae4a308f535869aee">stan::math::logical_or</a></div><div class="ttdeci">int logical_or(T1 x1, T2 x2)</div><div class="ttdoc">The logical or function which returns 1 if either argument is unequal to zero and 0 otherwise...</div><div class="ttdef"><b>Definition:</b> <a href="logical__or_8hpp_source.html#l00029">logical_or.hpp:29</a></div></div>
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+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logistic__log_8hpp_source.html">stan/math/prim/scal/prob/logistic_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="logistic__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a2fd36ac96595c375db7fddc885c30794"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a2fd36ac96595c375db7fddc885c30794"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2fd36ac96595c375db7fddc885c30794">stan::math::logistic_ccdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a2fd36ac96595c375db7fddc885c30794"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">logistic_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="logistic__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_LOGISTIC_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_LOGISTIC_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logistic__log_8hpp.html">stan/math/prim/scal/prob/logistic_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a2fd36ac96595c375db7fddc885c30794">   31</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a2fd36ac96595c375db7fddc885c30794">logistic_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma) ) )</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::logistic_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == -std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      }</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// Compute vectorized cdf_log and its gradients</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_inv_vec = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 - 1.0 / (1.0 + <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-(y_dbl - mu_dbl)</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                                                            * sigma_inv_vec));</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            -= <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">logistic_log</a>(y_dbl, mu_dbl, sigma_dbl)) / Pn;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            -= - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">logistic_log</a>(y_dbl, mu_dbl, sigma_dbl)) / Pn;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= - (y_dbl - mu_dbl) * sigma_inv_vec</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">logistic_log</a>(y_dbl, mu_dbl, sigma_dbl)) / Pn;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    }</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  }</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;}</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2fd36ac96595c375db7fddc885c30794"><div class="ttname"><a href="namespacestan_1_1math.html#a2fd36ac96595c375db7fddc885c30794">stan::math::logistic_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type logistic_ccdf_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="logistic__ccdf__log_8hpp_source.html#l00031">logistic_ccdf_log.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="logistic__log_8hpp_html"><div class="ttname"><a href="logistic__log_8hpp.html">logistic_log.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logistic__log_8hpp_source.html">stan/math/prim/scal/prob/logistic_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="logistic__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a1e1ca40295978d785324b33f3a78c96b"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a1e1ca40295978d785324b33f3a78c96b"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1e1ca40295978d785324b33f3a78c96b">stan::math::logistic_cdf</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">logistic_cdf.hpp</div>  </div>
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+<a href="logistic__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_LOGISTIC_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_LOGISTIC_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logistic__log_8hpp.html">stan/math/prim/scal/prob/logistic_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="comment">// Logistic(y|mu, sigma) [sigma &gt; 0]</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1e1ca40295978d785324b33f3a78c96b">   31</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a1e1ca40295978d785324b33f3a78c96b">logistic_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma) ) )</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::logistic_cdf&quot;</span>);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == -std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      }</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// Compute vectorized CDF and its gradients</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_inv_vec = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 / (1.0 + <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-(y_dbl - mu_dbl)</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                                                      * sigma_inv_vec));</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        P *= Pn;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;            += <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">logistic_log</a>(y_dbl, mu_dbl, sigma_dbl)) / Pn;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;            += - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">logistic_log</a>(y_dbl, mu_dbl, sigma_dbl)) / Pn;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
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+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    }</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;  }</div>
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+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="logistic__log_8hpp_html"><div class="ttname"><a href="logistic__log_8hpp.html">logistic_log.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p_8hpp.html">log1p.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">logistic_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logistic__log_8hpp_source.html">stan/math/prim/scal/prob/logistic_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="logistic__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a88d9fcb73b6a1d04896031edc0d8e510"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a88d9fcb73b6a1d04896031edc0d8e510"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a88d9fcb73b6a1d04896031edc0d8e510">stan::math::logistic_cdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a88d9fcb73b6a1d04896031edc0d8e510"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">logistic_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="logistic__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_LOGISTIC_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_LOGISTIC_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logistic__log_8hpp.html">stan/math/prim/scal/prob/logistic_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a88d9fcb73b6a1d04896031edc0d8e510">   30</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a88d9fcb73b6a1d04896031edc0d8e510">logistic_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma) ) )</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="comment">// Error checks</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::logistic_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == -std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          <span class="keywordflow">return</span> operands_and_partials</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;            .value(-std::numeric_limits&lt;double&gt;::infinity());</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      }</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// Compute vectorized cdf_log and its gradients</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_inv_vec = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 / (1.0 + <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-(y_dbl - mu_dbl)</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                                                      *sigma_inv_vec));</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            += <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">logistic_log</a>(y_dbl, mu_dbl, sigma_dbl)) / Pn;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            += - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">logistic_log</a>(y_dbl, mu_dbl, sigma_dbl)) / Pn;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]  += - (y_dbl - mu_dbl) * sigma_inv_vec</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">logistic_log</a>(y_dbl, mu_dbl, sigma_dbl)) / Pn;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    }</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;  }</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;}</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="logistic__log_8hpp_html"><div class="ttname"><a href="logistic__log_8hpp.html">logistic_log.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a431d5fcf935535cbe08981286652d57b"><div class="ttname"><a href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">stan::math::logistic_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type logistic_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="logistic__log_8hpp_source.html#l00032">logistic_log.hpp:32</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a88d9fcb73b6a1d04896031edc0d8e510"><div class="ttname"><a href="namespacestan_1_1math.html#a88d9fcb73b6a1d04896031edc0d8e510">stan::math::logistic_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type logistic_cdf_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="logistic__cdf__log_8hpp_source.html#l00030">logistic_cdf_log.hpp:30</a></div></div>
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+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+<tr class="memitem:a431d5fcf935535cbe08981286652d57b"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a431d5fcf935535cbe08981286652d57b"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">stan::math::logistic_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_LOGISTIC_LOG_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="comment">// Logistic(y|mu, sigma)    [sigma &gt; 0]</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="comment">// FIXME: document</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">   32</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">logistic_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::logistic_log&quot;</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_scale&gt;</a> inv_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                    T_partials_return, T_scale&gt; log_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        inv_sigma[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          log_sigma[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]));</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_loc&gt;::value</a>,</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                    T_partials_return, T_loc, T_scale&gt;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        exp_mu_div_sigma(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(mu, sigma));</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_loc&gt;::value</a>,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                    T_partials_return, T_y, T_scale&gt;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        exp_y_div_sigma(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma));</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>) {</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(mu, sigma); n++)</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          exp_mu_div_sigma[n] = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n])</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                                    / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]));</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma); n++)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          exp_y_div_sigma[n] = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n])</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                                   / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]));</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      }</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">stan::math::log1p</a>;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keyword">const</span> T_partials_return y_minus_mu = y_dbl - mu_dbl;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">const</span> T_partials_return y_minus_mu_div_sigma = y_minus_mu</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          * inv_sigma[n];</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        T_partials_return exp_m_y_minus_mu_div_sigma(0);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          exp_m_y_minus_mu_div_sigma = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-y_minus_mu_div_sigma);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        T_partials_return inv_1p_exp_y_minus_mu_div_sigma(0);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_y, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;          inv_1p_exp_y_minus_mu_div_sigma = 1 / (1 + <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(y_minus_mu_div_sigma));</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          logp -= y_minus_mu_div_sigma;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          logp -= log_sigma[n];</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
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+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
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+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      <span class="keywordflow">return</span> logistic_log&lt;false&gt;(y, mu, sigma);</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    }</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;}</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1contains__nonconstant__struct_html"><div class="ttname"><a href="structstan_1_1contains__nonconstant__struct.html">stan::contains_nonconstant_struct</a></div><div class="ttdef"><b>Definition:</b> <a href="contains__nonconstant__struct_8hpp_source.html#l00014">contains_nonconstant_struct.hpp:14</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a431d5fcf935535cbe08981286652d57b"><div class="ttname"><a href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">stan::math::logistic_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type logistic_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="logistic__log_8hpp_source.html#l00032">logistic_log.hpp:32</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2log1p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p_8hpp.html">log1p.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="logistic__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac9fc8e75fbb17cb5f22079e90fac128b"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:ac9fc8e75fbb17cb5f22079e90fac128b"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac9fc8e75fbb17cb5f22079e90fac128b">stan::math::logistic_rng</a> (const double mu, const double sigma, RNG &amp;rng)</td></tr>
+<tr class="separator:ac9fc8e75fbb17cb5f22079e90fac128b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</div>
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+<div class="contents">
+<a href="logistic__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_LOGISTIC_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_LOGISTIC_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac9fc8e75fbb17cb5f22079e90fac128b">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ac9fc8e75fbb17cb5f22079e90fac128b">logistic_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> mu,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                 <span class="keyword">const</span> <span class="keywordtype">double</span> sigma,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                 RNG&amp; rng) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> boost::random::exponential_distribution;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::logistic_rng&quot;</span>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      variate_generator&lt;RNG&amp;, exponential_distribution&lt;&gt; &gt;</div>
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+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p_8hpp.html">log1p.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/lognormal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="lognormal__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:afacb0f2c6b58bc55e506f3bfcf9ba829"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:afacb0f2c6b58bc55e506f3bfcf9ba829"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afacb0f2c6b58bc55e506f3bfcf9ba829">stan::math::lognormal_ccdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:afacb0f2c6b58bc55e506f3bfcf9ba829"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="lognormal__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_LOGNORMAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_LOGNORMAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/lognormal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afacb0f2c6b58bc55e506f3bfcf9ba829">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#afacb0f2c6b58bc55e506f3bfcf9ba829">lognormal_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::lognormal_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      T_partials_return ccdf_log = 0.0;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> ccdf_log;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> sqrt_pi = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0.0)</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> log_half = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(0.5);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y_dbl) - mu_dbl)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = SQRT_2 / sqrt_pi</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff * scaled_diff) / sigma_dbl;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="comment">// ccdf_log</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> T_partials_return erfc_calc = <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>(scaled_diff);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        ccdf_log += log_half + <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(erfc_calc);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= rep_deriv / erfc_calc / y_dbl;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += rep_deriv / erfc_calc;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += rep_deriv * scaled_diff * SQRT_2</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;            / erfc_calc;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(ccdf_log);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;}</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_afacb0f2c6b58bc55e506f3bfcf9ba829"><div class="ttname"><a href="namespacestan_1_1math.html#afacb0f2c6b58bc55e506f3bfcf9ba829">stan::math::lognormal_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type lognormal_ccdf_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="lognormal__ccdf__log_8hpp_source.html#l00025">lognormal_ccdf_log.hpp:25</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="title">lognormal_cdf.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/lognormal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="lognormal__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a9536cc20905aca8f393138adbe71bb73"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a9536cc20905aca8f393138adbe71bb73"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9536cc20905aca8f393138adbe71bb73">stan::math::lognormal_cdf</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">lognormal_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="lognormal__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_LOGNORMAL_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_LOGNORMAL_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/lognormal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9536cc20905aca8f393138adbe71bb73">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a9536cc20905aca8f393138adbe71bb73">lognormal_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::lognormal_cdf&quot;</span>);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      T_partials_return cdf = 1.0;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">return</span> cdf;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> sqrt_pi = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0.0)</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y_dbl) - mu_dbl)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = SQRT_2 * 0.5 / sqrt_pi</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff * scaled_diff) / sigma_dbl;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="comment">// cdf</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keyword">const</span> T_partials_return cdf_ = 0.5 * <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>(-scaled_diff);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        cdf *= cdf_;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv / cdf_ / y_dbl;</div>
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+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a491d6e40aaa2a3e205ea6708dc3c75dd"><div class="ttname"><a href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a></div><div class="ttdeci">const double SQRT_2</div><div class="ttdoc">The value of the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00021">constants.hpp:21</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/lognormal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="lognormal__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a1a771406ab16c52532e52bebc21c31f6"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a1a771406ab16c52532e52bebc21c31f6"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1a771406ab16c52532e52bebc21c31f6">stan::math::lognormal_cdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
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+<div class="title">lognormal_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="lognormal__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_LOGNORMAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_LOGNORMAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/lognormal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1a771406ab16c52532e52bebc21c31f6">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a1a771406ab16c52532e52bebc21c31f6">lognormal_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::lognormal_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      T_partials_return cdf_log = 0.0;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> cdf_log;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> sqrt_pi = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0.0)</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> log_half = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(0.5);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y_dbl) - mu_dbl)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = SQRT_2 / sqrt_pi</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff * scaled_diff) / sigma_dbl;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="comment">// cdf_log</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> T_partials_return erfc_calc = <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>(-scaled_diff);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        cdf_log += log_half + <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(erfc_calc);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv / erfc_calc / y_dbl;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= rep_deriv / erfc_calc;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv * scaled_diff * SQRT_2</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;            / erfc_calc;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;}</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1a771406ab16c52532e52bebc21c31f6"><div class="ttname"><a href="namespacestan_1_1math.html#a1a771406ab16c52532e52bebc21c31f6">stan::math::lognormal_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type lognormal_cdf_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="lognormal__cdf__log_8hpp_source.html#l00025">lognormal_cdf_log.hpp:25</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a491d6e40aaa2a3e205ea6708dc3c75dd"><div class="ttname"><a href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a></div><div class="ttdeci">const double SQRT_2</div><div class="ttdoc">The value of the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00021">constants.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab4c763e4f09069eed96a4e96e33ea8ea"><div class="ttname"><a href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">stan::math::erfc</a></div><div class="ttdeci">fvar&lt; T &gt; erfc(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erfc_8hpp_source.html#l00014">erfc.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa2ffd66726e0532160e16e6b48d6f428"><div class="ttname"><a href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a></div><div class="ttdeci">double pi()</div><div class="ttdoc">Return the value of pi. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00086">constants.hpp:86</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/lognormal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<p><a href="lognormal__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a623bb0aad5e3d872d52d0443a46ad270"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a623bb0aad5e3d872d52d0443a46ad270"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a623bb0aad5e3d872d52d0443a46ad270">stan::math::lognormal_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a623bb0aad5e3d872d52d0443a46ad270"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="lognormal__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_LOGNORMAL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_LOGNORMAL_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/lognormal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="comment">// LogNormal(y|mu, sigma)  [y &gt;= 0;  sigma &gt; 0]</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="comment">// FIXME: document</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a623bb0aad5e3d872d52d0443a46ad270">   33</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a623bb0aad5e3d872d52d0443a46ad270">lognormal_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::lognormal_log&quot;</span>);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) &lt;= 0)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">stan::math::NEG_LOG_SQRT_TWO_PI</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                    T_partials_return, T_scale&gt; log_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); n++)</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          log_sigma[n] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]));</div>
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+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                    T_partials_return, T_scale&gt; inv_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                    T_partials_return, T_scale&gt; inv_sigma_sq(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); n++)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          inv_sigma[n] = 1 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      }</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); n++)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          inv_sigma_sq[n] = inv_sigma[n] * inv_sigma[n];</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;                    T_partials_return, T_y&gt; log_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          log_y[n] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]));</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      }</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_y&gt;::value</a>,</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                    T_partials_return, T_y&gt; inv_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++)</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          inv_y[n] = 1 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      }</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        logp += N * <a class="code" href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">NEG_LOG_SQRT_TWO_PI</a>;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        T_partials_return logy_m_mu(0);</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          logy_m_mu = log_y[n] - mu_dbl;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        T_partials_return logy_m_mu_sq = logy_m_mu * logy_m_mu;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        T_partials_return logy_m_mu_div_sigma(0);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;          logy_m_mu_div_sigma = logy_m_mu * inv_sigma_sq[n];</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        <span class="comment">// log probability</span></div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;          logp -= log_sigma[n];</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;          logp -= log_y[n];</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          logp -= 0.5 * logy_m_mu_sq * inv_sigma_sq[n];</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= (1 + logy_m_mu_div_sigma) * inv_y[n];</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
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+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;            += (logy_m_mu_div_sigma * logy_m_mu - 1) * inv_sigma[n];</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;      }</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
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+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;</div>
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+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a2bfc3796274f4ccd677f96792551c127">  158</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a623bb0aad5e3d872d52d0443a46ad270">lognormal_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;      <span class="keywordflow">return</span> lognormal_log&lt;false&gt;(y, mu, sigma);</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    }</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;  }</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;}</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_acd99e429af3a997976a017d6a580e3f9"><div class="ttname"><a href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">stan::math::LOG_ZERO</a></div><div class="ttdeci">const double LOG_ZERO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00175">constants.hpp:175</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a623bb0aad5e3d872d52d0443a46ad270"><div class="ttname"><a href="namespacestan_1_1math.html#a623bb0aad5e3d872d52d0443a46ad270">stan::math::lognormal_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type lognormal_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="lognormal__log_8hpp_source.html#l00033">lognormal_log.hpp:33</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a59f7f156224f9e60c2fb3e99034212eb"><div class="ttname"><a href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">stan::math::NEG_LOG_SQRT_TWO_PI</a></div><div class="ttdeci">const double NEG_LOG_SQRT_TWO_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00184">constants.hpp:184</a></div></div>
+<div class="ttc" id="structstan_1_1contains__nonconstant__struct_html"><div class="ttname"><a href="structstan_1_1contains__nonconstant__struct.html">stan::contains_nonconstant_struct</a></div><div class="ttdef"><b>Definition:</b> <a href="contains__nonconstant__struct_8hpp_source.html#l00014">contains_nonconstant_struct.hpp:14</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/lognormal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+<p><a href="lognormal__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:af5a619e160ca64fff9f2d69b32bf69b6"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:af5a619e160ca64fff9f2d69b32bf69b6"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af5a619e160ca64fff9f2d69b32bf69b6">stan::math::lognormal_rng</a> (const double mu, const double sigma, RNG &amp;rng)</td></tr>
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+<a href="lognormal__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_LOGNORMAL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_LOGNORMAL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/lognormal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af5a619e160ca64fff9f2d69b32bf69b6">   21</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#af5a619e160ca64fff9f2d69b32bf69b6">lognormal_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> mu,</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;                  <span class="keyword">const</span> <span class="keywordtype">double</span> sigma,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                  RNG&amp; rng) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> boost::random::lognormal_distribution;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::lognormal_rng&quot;</span>);</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
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+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      variate_generator&lt;RNG&amp;, lognormal_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        lognorm_rng(rng, lognormal_distribution&lt;&gt;(mu, sigma));</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">return</span> lognorm_rng();</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  }</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af5a619e160ca64fff9f2d69b32bf69b6"><div class="ttname"><a href="namespacestan_1_1math.html#af5a619e160ca64fff9f2d69b32bf69b6">stan::math::lognormal_rng</a></div><div class="ttdeci">double lognormal_rng(const double mu, const double sigma, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="lognormal__rng_8hpp_source.html#l00021">lognormal_rng.hpp:21</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">lub_constrain.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__constrain_8hpp_source.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__constrain_8hpp_source.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="lub__constrain_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a5cc0ef5cf22dda83988c062b529dc3a6"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TL , typename TU &gt; </td></tr>
+<tr class="memitem:a5cc0ef5cf22dda83988c062b529dc3a6"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T, TL, TU &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5cc0ef5cf22dda83988c062b529dc3a6">stan::math::lub_constrain</a> (const T x, TL lb, TU ub)</td></tr>
+<tr class="memdesc:a5cc0ef5cf22dda83988c062b529dc3a6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the lower- and upper-bounded scalar derived by transforming the specified free scalar given the specified lower and upper bounds.  <a href="namespacestan_1_1math.html#a5cc0ef5cf22dda83988c062b529dc3a6">More...</a><br /></td></tr>
+<tr class="separator:a5cc0ef5cf22dda83988c062b529dc3a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab51cc5fe98ac938435e614765e30655a"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TL , typename TU &gt; </td></tr>
+<tr class="memitem:ab51cc5fe98ac938435e614765e30655a"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T, TL, TU &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab51cc5fe98ac938435e614765e30655a">stan::math::lub_constrain</a> (const T x, const TL lb, const TU ub, T &amp;lp)</td></tr>
+<tr class="memdesc:ab51cc5fe98ac938435e614765e30655a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the lower- and upper-bounded scalar derived by transforming the specified free scalar given the specified lower and upper bounds and increment the specified log probability with the log absolute Jacobian determinant.  <a href="namespacestan_1_1math.html#ab51cc5fe98ac938435e614765e30655a">More...</a><br /></td></tr>
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+<a href="lub__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LUB_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LUB_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__constrain_8hpp.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__constrain_8hpp.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> TL, <span class="keyword">typename</span> TU&gt;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T, TL, TU&gt;::type</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5cc0ef5cf22dda83988c062b529dc3a6">   45</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a5cc0ef5cf22dda83988c062b529dc3a6">lub_constrain</a>(<span class="keyword">const</span> T x, TL lb, TU ub) {</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math::check_less</a>(<span class="stringliteral">&quot;lub_constrain&quot;</span>, <span class="stringliteral">&quot;lb&quot;</span>, lb, ub);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordflow">if</span> (lb == -std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#ad9440f04c389ecf55094919dd4a29561">ub_constrain</a>(x, ub);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">if</span> (ub == std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a02477dd575f3d242826df72489faac4c">lb_constrain</a>(x, lb);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      T inv_logit_x;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordflow">if</span> (x &gt; 0) {</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        T exp_minus_x = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-x);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        inv_logit_x = 1.0 / (1.0 + exp_minus_x);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="comment">// Prevent x from reaching one unless it really really should.</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="keywordflow">if</span> ((x &lt; std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            &amp;&amp; (inv_logit_x == 1))</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            inv_logit_x = 1 - 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-15;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        T exp_x = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(x);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        inv_logit_x = 1.0 - 1.0 / (1.0 + exp_x);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="comment">// Prevent x from reaching zero unless it really really should.</span></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordflow">if</span> ((x &gt; -std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;            &amp;&amp; (inv_logit_x== 0))</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            inv_logit_x = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-15;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">return</span> lb + (ub - lb) * inv_logit_x;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    }</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> TL, <span class="keyword">typename</span> TU&gt;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T, TL, TU&gt;::type</div>
+<div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab51cc5fe98ac938435e614765e30655a">  115</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a5cc0ef5cf22dda83988c062b529dc3a6">lub_constrain</a>(<span class="keyword">const</span> T x, <span class="keyword">const</span> TL lb, <span class="keyword">const</span> TU ub, T&amp; lp) {</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      <span class="keywordflow">if</span> (!(lb &lt; ub)) {</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        std::stringstream s;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        s &lt;&lt; <span class="stringliteral">&quot;domain error in lub_constrain;  lower bound = &quot;</span> &lt;&lt; lb</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          &lt;&lt; <span class="stringliteral">&quot; must be strictly less than upper bound = &quot;</span> &lt;&lt; ub;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(s.str());</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      }</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      <span class="keywordflow">if</span> (lb == -std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#ad9440f04c389ecf55094919dd4a29561">ub_constrain</a>(x, ub, lp);</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordflow">if</span> (ub == std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a02477dd575f3d242826df72489faac4c">lb_constrain</a>(x, lb, lp);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      T inv_logit_x;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      <span class="keywordflow">if</span> (x &gt; 0) {</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        T exp_minus_x = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-x);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        inv_logit_x = 1.0 / (1.0 + exp_minus_x);</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(ub - lb) - x - 2 * <a class="code" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">log1p</a>(exp_minus_x);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="comment">// Prevent x from reaching one unless it really really should.</span></div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="keywordflow">if</span> ((x &lt; std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            &amp;&amp; (inv_logit_x == 1))</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;            inv_logit_x = 1 - 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-15;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        T exp_x = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(x);</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        inv_logit_x = 1.0 - 1.0 / (1.0 + exp_x);</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(ub - lb) + x - 2 * <a class="code" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">log1p</a>(exp_x);</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        <span class="comment">// Prevent x from reaching zero unless it really really should.</span></div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        <span class="keywordflow">if</span> ((x &gt; -std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            &amp;&amp; (inv_logit_x== 0))</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;            inv_logit_x = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-15;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;      <span class="keywordflow">return</span> lb + (ub - lb) * inv_logit_x;</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    }</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;  }</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;}</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="ub__constrain_8hpp_html"><div class="ttname"><a href="ub__constrain_8hpp.html">ub_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aab225792149dceaec443ce09b93f8744"><div class="ttname"><a href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math::check_less</a></div><div class="ttdeci">bool check_less(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is strictly less than high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less_8hpp_source.html#l00081">check_less.hpp:81</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a02477dd575f3d242826df72489faac4c"><div class="ttname"><a href="namespacestan_1_1math.html#a02477dd575f3d242826df72489faac4c">stan::math::lb_constrain</a></div><div class="ttdeci">T lb_constrain(const T x, const TL lb)</div><div class="ttdoc">Return the lower-bounded value for the specified unconstrained input and specified lower bound...</div><div class="ttdef"><b>Definition:</b> <a href="lb__constrain_8hpp_source.html#l00035">lb_constrain.hpp:35</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa16e57e82fb1e17f74ef43592748ff32"><div class="ttname"><a href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">stan::math::log1p</a></div><div class="ttdeci">fvar&lt; T &gt; log1p(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1p_8hpp_source.html#l00016">log1p.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad9440f04c389ecf55094919dd4a29561"><div class="ttname"><a href="namespacestan_1_1math.html#ad9440f04c389ecf55094919dd4a29561">stan::math::ub_constrain</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T, TU &gt;::type ub_constrain(const T x, const TU ub)</div><div class="ttdoc">Return the upper-bounded value for the specified unconstrained scalar and upper bound. </div><div class="ttdef"><b>Definition:</b> <a href="ub__constrain_8hpp_source.html#l00037">ub_constrain.hpp:37</a></div></div>
+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5cc0ef5cf22dda83988c062b529dc3a6"><div class="ttname"><a href="namespacestan_1_1math.html#a5cc0ef5cf22dda83988c062b529dc3a6">stan::math::lub_constrain</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T, TL, TU &gt;::type lub_constrain(const T x, TL lb, TU ub)</div><div class="ttdoc">Return the lower- and upper-bounded scalar derived by transforming the specified free scalar given th...</div><div class="ttdef"><b>Definition:</b> <a href="lub__constrain_8hpp_source.html#l00045">lub_constrain.hpp:45</a></div></div>
+<div class="ttc" id="lb__constrain_8hpp_html"><div class="ttname"><a href="lb__constrain_8hpp.html">lb_constrain.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2logit_8hpp_source.html">stan/math/prim/scal/fun/logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__free_8hpp_source.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__free_8hpp_source.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="lub__free_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:ab9fa09fdc448652a57d364d70d6e88e3"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TL , typename TU &gt; </td></tr>
+<tr class="memitem:ab9fa09fdc448652a57d364d70d6e88e3"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T, TL, TU &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab9fa09fdc448652a57d364d70d6e88e3">stan::math::lub_free</a> (const T y, TL lb, TU ub)</td></tr>
+<tr class="memdesc:ab9fa09fdc448652a57d364d70d6e88e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unconstrained scalar that transforms to the specified lower- and upper-bounded scalar given the specified bounds.  <a href="namespacestan_1_1math.html#ab9fa09fdc448652a57d364d70d6e88e3">More...</a><br /></td></tr>
+<tr class="separator:ab9fa09fdc448652a57d364d70d6e88e3"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="lub__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LUB_FREE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LUB_FREE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2logit_8hpp.html">stan/math/prim/scal/fun/logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__free_8hpp.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__free_8hpp.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> TL, <span class="keyword">typename</span> TU&gt;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <span class="keyword">inline</span></div>
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+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab025eaf1e6f5c920f69c37e7a7f8b319">stan::math::logit</a>;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_ac11bdd8c7f6eed39bbac5a663c8a81bc"><div class="ttname"><a href="namespacestan_1_1math.html#ac11bdd8c7f6eed39bbac5a663c8a81bc">stan::math::ub_free</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T, TU &gt;::type ub_free(const T y, const TU ub)</div><div class="ttdoc">Return the free scalar that corresponds to the specified upper-bounded value with respect to the spec...</div><div class="ttdef"><b>Definition:</b> <a href="ub__free_8hpp_source.html#l00039">ub_free.hpp:39</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2logit_8hpp.html">logit.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+</div>
+<p><a href="make__nu_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a71d39c88943f3fb8e45759c62d68953b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a71d39c88943f3fb8e45759c62d68953b"><td class="memTemplItemLeft" align="right" valign="top">const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a71d39c88943f3fb8e45759c62d68953b">stan::math::make_nu</a> (const T eta, const size_t K)</td></tr>
+<tr class="memdesc:a71d39c88943f3fb8e45759c62d68953b"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function calculates the degrees of freedom for the t distribution that corresponds to the shape parameter in the Lewandowski et.  <a href="namespacestan_1_1math.html#a71d39c88943f3fb8e45759c62d68953b">More...</a><br /></td></tr>
+<tr class="separator:a71d39c88943f3fb8e45759c62d68953b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<div class="title">make_nu.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="make__nu_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MAKE_NU_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MAKE_NU_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">const</span> Eigen::Array&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a71d39c88943f3fb8e45759c62d68953b">   22</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a71d39c88943f3fb8e45759c62d68953b">make_nu</a>(<span class="keyword">const</span> T eta, <span class="keyword">const</span> <span class="keywordtype">size_t</span> K) {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> Eigen::Array;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, 1&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      Array&lt;T, Dynamic, 1&gt; nu(K * (K - 1) / 2);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      T alpha = eta + (K - 2.0) / 2.0;  <span class="comment">// from Lewandowski et. al.</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="comment">// Best (1978) implies nu = 2 * alpha for the dof in a t</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="comment">// distribution that generates a beta variate on (-1, 1)</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      T alpha2 = 2.0 * alpha;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">for</span> (size_type j = 0; j &lt; (K - 1); j++) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        nu(j) = alpha2;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keywordtype">size_t</span> counter = K - 1;</div>
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+<div class="title">check_ordered.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="mat_2err_2check__ordered_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a2a7b212a4431aeedca59b2e94c84f788"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a2a7b212a4431aeedca59b2e94c84f788"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2a7b212a4431aeedca59b2e94c84f788">stan::math::check_ordered</a> (const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, 1 &gt; &amp;y)</td></tr>
+<tr class="memdesc:a2a7b212a4431aeedca59b2e94c84f788"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified vector is sorted into strictly increasing order.  <a href="namespacestan_1_1math.html#a2a7b212a4431aeedca59b2e94c84f788">More...</a><br /></td></tr>
+<tr class="separator:a2a7b212a4431aeedca59b2e94c84f788"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+</div>
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+<div class="title">check_ordered.hpp</div>  </div>
+</div><!--header-->
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+<a href="mat_2err_2check__ordered_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_ORDERED_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="error__index_8hpp.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y&gt;</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
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+<div class="title">fill.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="mat_2fun_2fill_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a73e791042ed648602eed1754679feff4"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C, typename S &gt; </td></tr>
+<tr class="memitem:a73e791042ed648602eed1754679feff4"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a73e791042ed648602eed1754679feff4">stan::math::fill</a> (Eigen::Matrix&lt; T, R, C &gt; &amp;x, const S &amp;y)</td></tr>
+<tr class="memdesc:a73e791042ed648602eed1754679feff4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fill the specified container with the specified value.  <a href="namespacestan_1_1math.html#a73e791042ed648602eed1754679feff4">More...</a><br /></td></tr>
+<tr class="separator:a73e791042ed648602eed1754679feff4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">stan/math/rev/mat/fun/Eigen_NumTraits.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<p><a href="mat_2fun_2grad_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a78c351f7c1ef5ea39c047fe102f70da3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a78c351f7c1ef5ea39c047fe102f70da3">stan::math::grad</a> (var &amp;v, Eigen::Matrix&lt; var, Eigen::Dynamic, 1 &gt; &amp;x, Eigen::VectorXd &amp;g)</td></tr>
+<tr class="memdesc:a78c351f7c1ef5ea39c047fe102f70da3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Propagate chain rule to calculate gradients starting from the specified variable.  <a href="namespacestan_1_1math.html#a78c351f7c1ef5ea39c047fe102f70da3">More...</a><br /></td></tr>
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+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">stan/math/prim/scal/fun/promote_scalar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">stan/math/prim/mat/fun/promote_scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="mat_2fun_2promote__scalar_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1,-1 &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Struct to hold static function for promoting underlying scalar types.  <a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Struct to hold static function for promoting underlying scalar types.  <a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Struct to hold static function for promoting underlying scalar types.  <a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<div class="title">promote_scalar.hpp</div>  </div>
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+<a href="mat_2fun_2promote__scalar_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_PROMOTE_SCALAR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_PROMOTE_SCALAR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2fun_2promote__scalar_8hpp.html">stan/math/prim/scal/fun/promote_scalar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2fun_2promote__scalar__type_8hpp.html">stan/math/prim/mat/fun/promote_scalar_type.hpp</a>&gt;</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html">stan/math/prim/scal/fun/promote_scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="mat_2fun_2promote__scalar__type_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic,                                                                                                                                                                                                                                                                                                                                                                           Eigen::Dynamic &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram to calculate a type for a matrix whose underlying scalar is converted from the second template parameter type to the first.  <a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram to calculate a type for a vector whose underlying scalar is converted from the second template parameter type to the first.  <a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram to calculate a type for a row vector whose underlying scalar is converted from the second template parameter type to the first.  <a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_5ad826fc69c5de8867ad775040807419.html">fun</a></li>  </ul>
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+<div class="title">promote_scalar_type.hpp</div>  </div>
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+<a href="mat_2fun_2promote__scalar__type_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_PROMOTE_SCALAR_TYPE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_PROMOTE_SCALAR_TYPE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2fun_2promote__scalar__type_8hpp.html">stan/math/prim/scal/fun/promote_scalar_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;  }</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;}</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4_html_a8b40b9d3384f079cb045ab61a8c6ac73"><div class="ttname"><a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a8b40b9d3384f079cb045ab61a8c6ac73">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;::type</a></div><div class="ttdeci">Eigen::Matrix&lt; typename promote_scalar_type&lt; T, S &gt;::type, Eigen::Dynamic, 1 &gt; type</div><div class="ttdoc">The promoted type. </div><div class="ttdef"><b>Definition:</b> <a href="mat_2fun_2promote__scalar__type_8hpp_source.html#l00049">promote_scalar_type.hpp:49</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promote__scalar__type_html"><div class="ttname"><a href="structstan_1_1math_1_1promote__scalar__type.html">stan::math::promote_scalar_type</a></div><div class="ttdoc">Template metaprogram to calculate a type for converting a convertible type. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2fun_2promote__scalar__type_8hpp_source.html#l00015">promote_scalar_type.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0_html_a660544aceefabb31ef4bbd090b6b1959"><div class="ttname"><a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html#a660544aceefabb31ef4bbd090b6b1959">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic,                                                                                                                                                                                                                                                                                                                                                                           Eigen::Dynamic &gt; &gt;::type</a></div><div class="ttdeci">Eigen::Matrix&lt; typename promote_scalar_type&lt; T, S &gt;::type, Eigen::Dynamic, Eigen::Dynamic &gt; type</div><div class="ttdoc">The promoted type. </div><div class="ttdef"><b>Definition:</b> <a href="mat_2fun_2promote__scalar__type_8hpp_source.html#l00030">promote_scalar_type.hpp:30</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4_html_a73857fd39b6e343018a3bda40b7dc579"><div class="ttname"><a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a73857fd39b6e343018a3bda40b7dc579">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;::type</a></div><div class="ttdeci">Eigen::Matrix&lt; typename promote_scalar_type&lt; T, S &gt;::type, 1, Eigen::Dynamic &gt; type</div><div class="ttdoc">The promoted type. </div><div class="ttdef"><b>Definition:</b> <a href="mat_2fun_2promote__scalar__type_8hpp_source.html#l00068">promote_scalar_type.hpp:68</a></div></div>
+<div class="ttc" id="scal_2fun_2promote__scalar__type_8hpp_html"><div class="ttname"><a href="scal_2fun_2promote__scalar__type_8hpp.html">promote_scalar_type.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2fun_2to__fvar_8hpp_source.html">stan/math/fwd/scal/fun/to_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__dims_8hpp_source.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</code><br />
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+<tr class="memitem:adfb48ecaf381b03e60f9df8bab82e60c"><td class="memTemplParams" colspan="2">template&lt;int R, int C, typename T &gt; </td></tr>
+<tr class="memitem:adfb48ecaf381b03e60f9df8bab82e60c"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adfb48ecaf381b03e60f9df8bab82e60c">stan::math::to_fvar</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
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+<div class="title">to_fvar.hpp</div>  </div>
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+<a href="mat_2fun_2to__fvar_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_MAT_FUN_TO_FVAR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_FWD_MAT_FUN_TO_FVAR_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2fun_2to__var_8hpp_source.html">stan/math/rev/scal/fun/to_var.hpp</a>&gt;</code><br />
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+<tr class="memdesc:adae9f601dd5faa6dcfa6e4edd7e84be9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="namespacestan_1_1math.html#adae9f601dd5faa6dcfa6e4edd7e84be9">More...</a><br /></td></tr>
+<tr class="separator:adae9f601dd5faa6dcfa6e4edd7e84be9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a40674afd6b5163ad3e859fc7da721faf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="namespacestan_1_1math.html#a40674afd6b5163ad3e859fc7da721faf">More...</a><br /></td></tr>
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+<tr class="memdesc:a345ee377fd33a8f5101a87482e098247"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="namespacestan_1_1math.html#a345ee377fd33a8f5101a87482e098247">More...</a><br /></td></tr>
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+<tr class="memdesc:abdd6f29816f4c58601da47f272848187"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="namespacestan_1_1math.html#abdd6f29816f4c58601da47f272848187">More...</a><br /></td></tr>
+<tr class="separator:abdd6f29816f4c58601da47f272848187"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac98e7e17d969cb7ee4b36dce58137cba"><td class="memItemLeft" align="right" valign="top">row_vector_v&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac98e7e17d969cb7ee4b36dce58137cba">stan::math::to_var</a> (const <a class="el" href="namespacestan_1_1math.html#ac61a9b8f4000b9e69bf2d1dcfb34c984">stan::math::row_vector_d</a> &amp;rv)</td></tr>
+<tr class="memdesc:ac98e7e17d969cb7ee4b36dce58137cba"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="namespacestan_1_1math.html#ac98e7e17d969cb7ee4b36dce58137cba">More...</a><br /></td></tr>
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+<tr class="memdesc:ac28a0e06bb7bd6be39ef50f90e529ccd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="namespacestan_1_1math.html#ac28a0e06bb7bd6be39ef50f90e529ccd">More...</a><br /></td></tr>
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+<a href="mat_2fun_2to__var_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_TO_VAR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_TO_VAR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="ttc" id="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4_html_a76f40d98ab7b00cc4cc6c7bd4a538820"><div class="ttname"><a href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a76f40d98ab7b00cc4cc6c7bd4a538820">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;::VectorView</a></div><div class="ttdeci">VectorView(X &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="mat_2meta_2_vector_view_8hpp_source.html#l00033">VectorView.hpp:33</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4_html_adfca28e50072e07d54266232fca1271a"><div class="ttname"><a href="classstan_1_1_vector_view_3_01const_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#adfca28e50072e07d54266232fca1271a">stan::VectorView&lt; const Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;::operator[]</a></div><div class="ttdeci">scalar_t &amp; operator[](int i) const </div><div class="ttdef"><b>Definition:</b> <a href="mat_2meta_2_vector_view_8hpp_source.html#l00035">VectorView.hpp:35</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4_html_a3c3691cba50d962132fc75a2b8827ec6"><div class="ttname"><a href="classstan_1_1_vector_view_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01true_00_01false_01_4.html#a3c3691cba50d962132fc75a2b8827ec6">stan::VectorView&lt; Eigen::Matrix&lt; T, R, C &gt;, true, false &gt;::operator[]</a></div><div class="ttdeci">scalar_t &amp; operator[](int i)</div><div class="ttdef"><b>Definition:</b> <a href="mat_2meta_2_vector_view_8hpp_source.html#l00019">VectorView.hpp:19</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2container__view_8hpp_source.html">stan/math/prim/scal/meta/container_view.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template specialization for Eigen::Map view of array with scalar type T2 with size inferred from input Eigen::Matrix.  <a href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#details">More...</a><br /></td></tr>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template specialization for scalar view of array y with scalar type T2.  <a href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#details">More...</a><br /></td></tr>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template specialization for matrix view of array y with scalar type T2 with shape equal to x.  <a href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html#details">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_28a36803b0e41c0a18a5eae798eb25aa.html">meta</a></li>  </ul>
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+<div class="title">container_view.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="mat_2meta_2container__view_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_META_CONTAINER_VIEW_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_META_CONTAINER_VIEW_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2container__view_8hpp.html">stan/math/prim/scal/meta/container_view.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ae17fdbe8f98c5d6c887b49f99e6d4a03"><div class="ttname"><a href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">stan::math::rows</a></div><div class="ttdeci">int rows(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdoc">Return the number of rows in the specified matrix, vector, or row vector. </div><div class="ttdef"><b>Definition:</b> <a href="rows_8hpp_source.html#l00020">rows.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13_html_a35cb78b1c79de2b31dbed7b8390fa9aa"><div class="ttname"><a href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html#a35cb78b1c79de2b31dbed7b8390fa9aa">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;::operator[]</a></div><div class="ttdeci">Eigen::Map&lt; Eigen::Matrix&lt; T2, R, C &gt; &gt; &amp; operator[](int i)</div><div class="ttdoc">operator[](int i) returns matrix view of scalartype T2 at appropriate index i in array y ...</div><div class="ttdef"><b>Definition:</b> <a href="mat_2meta_2container__view_8hpp_source.html#l00119">container_view.hpp:119</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4_html_ad29aea372283a2198c9b41813cb283c6"><div class="ttname"><a href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#ad29aea372283a2198c9b41813cb283c6">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;::container_view</a></div><div class="ttdeci">container_view(const Eigen::Matrix&lt; T1, R, C &gt; &amp;x, T2 *y)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> <a href="mat_2meta_2container__view_8hpp_source.html#l00066">container_view.hpp:66</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf_html_acfe66b51d58fa11069c5ad4b9efea9ec"><div class="ttname"><a href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#acfe66b51d58fa11069c5ad4b9efea9ec">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;::operator[]</a></div><div class="ttdeci">Eigen::Map&lt; Eigen::Matrix&lt; T2, R, C &gt; &gt; &amp; operator[](int i)</div><div class="ttdoc">operator[](int i) returns Eigen::Map y </div><div class="ttdef"><b>Definition:</b> <a href="mat_2meta_2container__view_8hpp_source.html#l00040">container_view.hpp:40</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4_html_af2100b835c918d3f7c7bac8d6ec32937"><div class="ttname"><a href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_t2_01_4.html#af2100b835c918d3f7c7bac8d6ec32937">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, T2 &gt;::operator[]</a></div><div class="ttdeci">T2 &amp; operator[](int i)</div><div class="ttdoc">operator[](int i) returns reference to scalar of type T2 at appropriate index i in array y ...</div><div class="ttdef"><b>Definition:</b> <a href="mat_2meta_2container__view_8hpp_source.html#l00073">container_view.hpp:73</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_html"><div class="ttname"><a href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a></div><div class="ttdoc">Primary template class for container view of array y with same structure as T1 and size as x...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2container__view_8hpp_source.html#l00022">container_view.hpp:22</a></div></div>
+<div class="ttc" id="scal_2meta_2container__view_8hpp_html"><div class="ttname"><a href="scal_2meta_2container__view_8hpp.html">container_view.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf_html_ada334e228fbc14af8df1cce4d9dc49fa"><div class="ttname"><a href="classstan_1_1math_1_1container__view_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eif0a5cd6c4f7572d0a0485f479012b4cf.html#ada334e228fbc14af8df1cce4d9dc49fa">stan::math::container_view&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;::container_view</a></div><div class="ttdeci">container_view(const Eigen::Matrix&lt; T1, R, C &gt; &amp;x, T2 *y)</div><div class="ttdoc">Initialize Map dimensions with input matrix dimensions. </div><div class="ttdef"><b>Definition:</b> <a href="mat_2meta_2container__view_8hpp_source.html#l00032">container_view.hpp:32</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13_html_a9e85ebcc143d65666cc17117257e67ce"><div class="ttname"><a href="classstan_1_1math_1_1container__view_3_01std_1_1vector_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_293fc31514b48bf553261266d6061c13.html#a9e85ebcc143d65666cc17117257e67ce">stan::math::container_view&lt; std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt;,                                                                                                                                                                                           Eigen::Matrix&lt; T2, R, C &gt; &gt;::container_view</a></div><div class="ttdeci">container_view(const std::vector&lt; Eigen::Matrix&lt; T1, R, C &gt; &gt; &amp;x, T2 *y)</div><div class="ttdoc">Constructor assumes all matrix elements in std::vector are of same dimension. </div><div class="ttdef"><b>Definition:</b> <a href="mat_2meta_2container__view_8hpp_source.html#l00104">container_view.hpp:104</a></div></div>
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+Functions</h2></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2index__type_8hpp_source.html">stan/math/prim/scal/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;Eigen/Core&gt;</code><br />
+</div>
+<p><a href="mat_2meta_2index__type_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html">stan::math::index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram defining typedef for the type of index for an <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix, vector, or row vector.  <a href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::is_vector_like&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram indicates whether a type is vector_like.  <a href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<a href="mat_2meta_2is__vector__like_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_META_IS_VECTOR_LIKE_HPP</span></div>
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+<div class="ttc" id="structstan_1_1is__vector__like_html"><div class="ttname"><a href="structstan_1_1is__vector__like.html">stan::is_vector_like</a></div><div class="ttdoc">Template metaprogram indicates whether a type is vector_like. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__vector__like_8hpp_source.html#l00021">is_vector_like.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
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+<tr class="memitem:a12b8544448f77da1a773c7b7c0ebdc01"><td class="memTemplItemLeft" align="right" valign="top">size_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan.html#a12b8544448f77da1a773c7b7c0ebdc01">stan::length</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2length__mvt_8hpp_source.html">stan/math/prim/scal/meta/length_mvt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
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+<tr class="memitem:a846e41c458181de76ce756303c68da3c"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a846e41c458181de76ce756303c68da3c"><td class="memTemplItemLeft" align="right" valign="top">size_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan.html#a846e41c458181de76ce756303c68da3c">stan::length_mvt</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;)</td></tr>
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+<tr class="memitem:a4e27fd808f2599e38dd78ec23e6cdb61"><td class="memTemplItemLeft" align="right" valign="top">size_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan.html#a4e27fd808f2599e38dd78ec23e6cdb61">stan::length_mvt</a> (const std::vector&lt; Eigen::Matrix&lt; T, R, C &gt; &gt; &amp;x)</td></tr>
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+<a href="mat_2meta_2length__mvt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_META_LENGTH_MVT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_META_LENGTH_MVT_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length__mvt_8hpp_html"><div class="ttname"><a href="scal_2meta_2length__mvt_8hpp.html">length_mvt.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="mat_2meta_2is__vector_8hpp_source.html">stan/math/prim/mat/meta/is_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2value__type_8hpp_source.html">stan/math/prim/mat/meta/value_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</code><br />
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="mat_2meta_2is__vector_8hpp_html"><div class="ttname"><a href="mat_2meta_2is__vector_8hpp.html">is_vector.hpp</a></div></div>
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+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
+<div class="ttc" id="mat_2meta_2value__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2value__type_8hpp.html">value_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4_html_a3cbf7ba7c3d16da948863b3180075b36"><div class="ttname"><a href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a3cbf7ba7c3d16da948863b3180075b36">stan::scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::type</a></div><div class="ttdeci">scalar_type&lt; T &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="mat_2meta_2scalar__type_8hpp_source.html#l00013">scalar_type.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2value__type_8hpp_source.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</code><br />
+<code>#include &lt;Eigen/Core&gt;</code><br />
+</div>
+<p><a href="mat_2meta_2value__type_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1value__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html">stan::math::value_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram defining the type of values stored in an <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix, vector, or row vector.  <a href="structstan_1_1math_1_1value__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#details">More...</a><br /></td></tr>
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+</div><!--header-->
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+<a href="mat_2meta_2value__type_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_META_VALUE_TYPE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_META_VALUE_TYPE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2value__type_8hpp.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;Eigen/Core&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1value__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4_html_a269815862773362350279d4b0317e7e7"><div class="ttname"><a href="structstan_1_1math_1_1value__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a269815862773362350279d4b0317e7e7">stan::math::value_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;::type</a></div><div class="ttdeci">Eigen::Matrix&lt; T, R, C &gt;::Scalar type</div><div class="ttdef"><b>Definition:</b> <a href="mat_2meta_2value__type_8hpp_source.html#l00021">value_type.hpp:21</a></div></div>
+<div class="ttc" id="scal_2meta_2value__type_8hpp_html"><div class="ttname"><a href="scal_2meta_2value__type_8hpp.html">value_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1value__type_html"><div class="ttname"><a href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a></div><div class="ttdoc">Primary template class for metaprogram to compute the type of values stored in a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2value__type_8hpp_source.html#l00018">value_type.hpp:18</a></div></div>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
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+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant_8hpp_source.html">stan/math/prim/mat/fun/log_determinant.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="subtract_8hpp_source.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__quad__form_8hpp_source.html">stan/math/prim/mat/fun/trace_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">stan/math/prim/mat/fun/trace_gen_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+</div>
+<p><a href="matrix__normal__prec__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a3feb895ef1190ad6e77185e70a3fa66d"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_Mu , typename T_Sigma , typename T_D &gt; </td></tr>
+<tr class="memitem:a3feb895ef1190ad6e77185e70a3fa66d"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_y, T_Mu, T_Sigma, T_D &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3feb895ef1190ad6e77185e70a3fa66d">stan::math::matrix_normal_prec_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const Eigen::Matrix&lt; T_Mu, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;Mu, const Eigen::Matrix&lt; T_Sigma, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;Sigma, const Eigen::Matrix&lt; T_D, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;D)</td></tr>
+<tr class="memdesc:a3feb895ef1190ad6e77185e70a3fa66d"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of the matrix normal density for the given y, mu, Sigma and D where Sigma and D are given as precision matrices, not covariance matrices.  <a href="namespacestan_1_1math.html#a3feb895ef1190ad6e77185e70a3fa66d">More...</a><br /></td></tr>
+<tr class="separator:a3feb895ef1190ad6e77185e70a3fa66d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:add509bb48f33e775f906f8e9e0c0c4f9"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_Mu , typename T_Sigma , typename T_D &gt; </td></tr>
+<tr class="memitem:add509bb48f33e775f906f8e9e0c0c4f9"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_y, T_Mu, T_Sigma, T_D &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#add509bb48f33e775f906f8e9e0c0c4f9">stan::math::matrix_normal_prec_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const Eigen::Matrix&lt; T_Mu, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;Mu, const Eigen::Matrix&lt; T_Sigma, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;Sigma, const Eigen::Matrix&lt; T_D, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;D)</td></tr>
+<tr class="separator:add509bb48f33e775f906f8e9e0c0c4f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">matrix_normal_prec_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="matrix__normal__prec__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_MATRIX_NORMAL_PREC_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_MATRIX_NORMAL_PREC_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log_8hpp.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant_8hpp.html">stan/math/prim/mat/fun/log_determinant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="subtract_8hpp.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2trace__quad__form_8hpp.html">stan/math/prim/mat/fun/trace_quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2trace__gen__quad__form_8hpp.html">stan/math/prim/mat/fun/trace_gen_quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_Mu, <span class="keyword">typename</span> T_Sigma, <span class="keyword">typename</span> T_D&gt;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_y, T_Mu, T_Sigma, T_D&gt;::type</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;                           &lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y,</div>
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+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                           &lt;T_Mu, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; Mu,</div>
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+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
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+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a38ba678d90cda4868c14d6d6bc6b509d">stan::math::subtract</a>;</div>
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+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
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+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;D rows&quot;</span>, D.rows());</div>
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+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">check_ldlt_factor</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;LDLT_Factor of D&quot;</span>, ldlt_D);</div>
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+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                       <span class="stringliteral">&quot;Columns of random variable&quot;</span>, y.cols(),</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                       <span class="stringliteral">&quot;Columns of location parameter&quot;</span>, Mu.cols());</div>
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+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                       <span class="stringliteral">&quot;Rows of Sigma&quot;</span>, Sigma.rows());</div>
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+<div class="ttc" id="prim_2mat_2fun_2log__determinant_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__determinant_8hpp.html">log_determinant.hpp</a></div></div>
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+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="check__symmetric_8hpp_html"><div class="ttname"><a href="check__symmetric_8hpp.html">check_symmetric.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2log_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log_8hpp.html">log.hpp</a></div></div>
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+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__ldlt__factor_8hpp_html"><div class="ttname"><a href="check__ldlt__factor_8hpp.html">check_ldlt_factor.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab874d14a9441896a9d9e0172ba555357"><div class="ttname"><a href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a></div><div class="ttdeci">bool check_symmetric(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is symmetric. </div><div class="ttdef"><b>Definition:</b> <a href="check__symmetric_8hpp_source.html#l00037">check_symmetric.hpp:37</a></div></div>
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+<div class="ttc" id="subtract_8hpp_html"><div class="ttname"><a href="subtract_8hpp.html">subtract.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2log__determinant__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">log_determinant_ldlt.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<a href="matrix__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_MATRIX_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_MATRIX_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2_eigen___num_traits_8hpp.html">stan/math/rev/mat/fun/Eigen_NumTraits.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="var_8hpp.html">stan/math/rev/core/var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__matrix__vari.html">   12</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1op__matrix__vari.html">op_matrix_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
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+<div class="ttc" id="rev_2mat_2fun_2_eigen___num_traits_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2_eigen___num_traits_8hpp.html">Eigen_NumTraits.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__matrix__vari_html_aa8857333f18280ecedc008d53cd39315"><div class="ttname"><a href="classstan_1_1math_1_1op__matrix__vari.html#aa8857333f18280ecedc008d53cd39315">stan::math::op_matrix_vari::operator[]</a></div><div class="ttdeci">vari * operator[](size_t n) const </div><div class="ttdef"><b>Definition:</b> <a href="matrix__vari_8hpp_source.html#l00027">matrix_vari.hpp:27</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__matrix__vari_html_a38f1c03104b4d76ec79aca62a1d0f66f"><div class="ttname"><a href="classstan_1_1math_1_1op__matrix__vari.html#a38f1c03104b4d76ec79aca62a1d0f66f">stan::math::op_matrix_vari::op_matrix_vari</a></div><div class="ttdeci">op_matrix_vari(double f, const Eigen::Matrix&lt; stan::math::var, R, C &gt; &amp;vs)</div><div class="ttdef"><b>Definition:</b> <a href="matrix__vari_8hpp_source.html#l00018">matrix_vari.hpp:18</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__matrix__vari_html_a81caaf77e84614aada7a27f0984db8cc"><div class="ttname"><a href="classstan_1_1math_1_1op__matrix__vari.html#a81caaf77e84614aada7a27f0984db8cc">stan::math::op_matrix_vari::vis_</a></div><div class="ttdeci">vari ** vis_</div><div class="ttdef"><b>Definition:</b> <a href="matrix__vari_8hpp_source.html#l00015">matrix_vari.hpp:15</a></div></div>
+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__matrix__vari_html_a35e94de2a37b83f8a1866fd57709be4b"><div class="ttname"><a href="classstan_1_1math_1_1op__matrix__vari.html#a35e94de2a37b83f8a1866fd57709be4b">stan::math::op_matrix_vari::size</a></div><div class="ttdeci">size_t size()</div><div class="ttdef"><b>Definition:</b> <a href="matrix__vari_8hpp_source.html#l00030">matrix_vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__matrix__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1op__matrix__vari.html">stan::math::op_matrix_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="matrix__vari_8hpp_source.html#l00012">matrix_vari.hpp:12</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__matrix__vari_html_a89c5c533bea6db8bca39202531f38348"><div class="ttname"><a href="classstan_1_1math_1_1op__matrix__vari.html#a89c5c533bea6db8bca39202531f38348">stan::math::op_matrix_vari::size_</a></div><div class="ttdeci">const size_t size_</div><div class="ttdef"><b>Definition:</b> <a href="matrix__vari_8hpp_source.html#l00014">matrix_vari.hpp:14</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="max_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a5da0ef87756d3dbd20ca4ff5a3efa10d"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">stan::math::max</a> (const std::vector&lt; int &gt; &amp;x)</td></tr>
+<tr class="memdesc:a5da0ef87756d3dbd20ca4ff5a3efa10d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the maximum coefficient in the specified column vector.  <a href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">More...</a><br /></td></tr>
+<tr class="separator:a5da0ef87756d3dbd20ca4ff5a3efa10d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acde414919e0e4dcfa72d565679819091"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:acde414919e0e4dcfa72d565679819091"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acde414919e0e4dcfa72d565679819091">stan::math::max</a> (const std::vector&lt; T &gt; &amp;x)</td></tr>
+<tr class="memdesc:acde414919e0e4dcfa72d565679819091"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the maximum coefficient in the specified column vector.  <a href="namespacestan_1_1math.html#acde414919e0e4dcfa72d565679819091">More...</a><br /></td></tr>
+<tr class="separator:acde414919e0e4dcfa72d565679819091"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae3f299773dc20e8305fc16df1be8d029"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ae3f299773dc20e8305fc16df1be8d029"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae3f299773dc20e8305fc16df1be8d029">stan::math::max</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:ae3f299773dc20e8305fc16df1be8d029"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the maximum coefficient in the specified vector, row vector, or matrix.  <a href="namespacestan_1_1math.html#ae3f299773dc20e8305fc16df1be8d029">More...</a><br /></td></tr>
+<tr class="separator:ae3f299773dc20e8305fc16df1be8d029"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">max.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="max_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MAX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MAX_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">   21</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a>(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; x) {</div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+</div>
+<p><a href="max__size_8hpp_source.html">Go to the source code of this file.</a></p>
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+<a href="max__size_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_MAX_SIZE_HPP</span></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2length__mvt_8hpp_source.html">stan/math/prim/scal/meta/length_mvt.hpp</a>&gt;</code><br />
+<code>#include &lt;cstdlib&gt;</code><br />
+</div>
+<p><a href="max__size__mvt_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:a7abf6526ceb23475508fd42299a7a369"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
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+<tr class="memitem:affb43a3cfb08d96ce95ce951e6c9a41b"><td class="memTemplItemLeft" align="right" valign="top">size_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan.html#affb43a3cfb08d96ce95ce951e6c9a41b">stan::max_size_mvt</a> (const T1 &amp;x1, const T2 &amp;x2, const T3 &amp;x3)</td></tr>
+<tr class="separator:affb43a3cfb08d96ce95ce951e6c9a41b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a78263bfb6e683bf6d4f2cf48cec9d875"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename T3 , typename T4 &gt; </td></tr>
+<tr class="memitem:a78263bfb6e683bf6d4f2cf48cec9d875"><td class="memTemplItemLeft" align="right" valign="top">size_t&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan.html#a78263bfb6e683bf6d4f2cf48cec9d875">stan::max_size_mvt</a> (const T1 &amp;x1, const T2 &amp;x2, const T3 &amp;x3, const T4 &amp;x4)</td></tr>
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+<a href="max__size__mvt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_MAX_SIZE_MVT_HPP</span></div>
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+<div class="ttc" id="scal_2meta_2length__mvt_8hpp_html"><div class="ttname"><a href="scal_2meta_2length__mvt_8hpp.html">length_mvt.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+</div>
+<p><a href="mdivide__right__ldlt_8hpp_source.html">Go to the source code of this file.</a></p>
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad9f8ca30a27a0a70d32477a9fb4c4e25"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:ad9f8ca30a27a0a70d32477a9fb4c4e25"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad9f8ca30a27a0a70d32477a9fb4c4e25">stan::math::mdivide_right_ldlt</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;b, const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T2, R2, C2 &gt; &amp;A)</td></tr>
+<tr class="memdesc:ad9f8ca30a27a0a70d32477a9fb4c4e25"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system xA=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A.  <a href="namespacestan_1_1math.html#ad9f8ca30a27a0a70d32477a9fb4c4e25">More...</a><br /></td></tr>
+<tr class="separator:ad9f8ca30a27a0a70d32477a9fb4c4e25"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1f4edbfe01ea37356acd24cc948425c8"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a1f4edbfe01ea37356acd24cc948425c8"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; double, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1f4edbfe01ea37356acd24cc948425c8">stan::math::mdivide_right_ldlt</a> (const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;b, const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; double, R2, C2 &gt; &amp;A)</td></tr>
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diff --git a/doc/api/html/mdivide__right__ldlt_8hpp_source.html b/doc/api/html/mdivide__right__ldlt_8hpp_source.html
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+<div class="title">mdivide_right_ldlt.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="mdivide__right__ldlt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MDIVIDE_RIGHT_LDLT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MDIVIDE_RIGHT_LDLT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="transpose_8hpp.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="title">mdivide_right_spd.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__spd_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__pos__definite_8hpp_source.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+</div>
+<p><a href="mdivide__right__spd_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ab73c90537220c0205f5355895a14621c"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:ab73c90537220c0205f5355895a14621c"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab73c90537220c0205f5355895a14621c">stan::math::mdivide_right_spd</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;b, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;A)</td></tr>
+<tr class="memdesc:ab73c90537220c0205f5355895a14621c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b where A is symmetric positive definite.  <a href="namespacestan_1_1math.html#ab73c90537220c0205f5355895a14621c">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_5ad826fc69c5de8867ad775040807419.html">fun</a></li>  </ul>
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+<div class="title">mdivide_right_spd.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="mdivide__right__spd_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MDIVIDE_RIGHT_SPD_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MDIVIDE_RIGHT_SPD_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__spd_8hpp.html">stan/math/prim/mat/fun/mdivide_left_spd.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="transpose_8hpp.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__pos__definite_8hpp.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                  R1, C2&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab73c90537220c0205f5355895a14621c">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab73c90537220c0205f5355895a14621c">mdivide_right_spd</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R1, C1&gt; &amp;b,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                      <span class="keyword">const</span> Eigen::Matrix&lt;T2, R2, C2&gt; &amp;A) {</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_right_spd&quot;</span>,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                                                <span class="stringliteral">&quot;b&quot;</span>, b,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                                                <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a>(<span class="stringliteral">&quot;mdivide_right_spd&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a73c78430d39530eb8c4ef3fed06f7082">stan::math::check_pos_definite</a>(<span class="stringliteral">&quot;mdivide_right_spd&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="comment">// FIXME: This is nice and general but likely slow.</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="comment">// FIXME: After allowing for general MatrixBase in mdivide_left_spd,</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="comment">//        change to b.transpose()</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#af0e78140ced17ce9be79c29b9f23321b">mdivide_left_spd</a>(A, <a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>(b)).transpose();</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;}</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__spd_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__spd_8hpp.html">mdivide_left_spd.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="check__symmetric_8hpp_html"><div class="ttname"><a href="check__symmetric_8hpp.html">check_symmetric.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0e78140ced17ce9be79c29b9f23321b"><div class="ttname"><a href="namespacestan_1_1math.html#af0e78140ced17ce9be79c29b9f23321b">stan::math::mdivide_left_spd</a></div><div class="ttdeci">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt; mdivide_left_spd(const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;b)</div><div class="ttdoc">Returns the solution of the system Ax=b where A is symmetric positive definite. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2mdivide__left__spd_8hpp_source.html#l00028">mdivide_left_spd.hpp:28</a></div></div>
+<div class="ttc" id="transpose_8hpp_html"><div class="ttname"><a href="transpose_8hpp.html">transpose.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab73c90537220c0205f5355895a14621c"><div class="ttname"><a href="namespacestan_1_1math.html#ab73c90537220c0205f5355895a14621c">stan::math::mdivide_right_spd</a></div><div class="ttdeci">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt; mdivide_right_spd(const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;b, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;A)</div><div class="ttdoc">Returns the solution of the system Ax=b where A is symmetric positive definite. </div><div class="ttdef"><b>Definition:</b> <a href="mdivide__right__spd_8hpp_source.html#l00029">mdivide_right_spd.hpp:29</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ab874d14a9441896a9d9e0172ba555357"><div class="ttname"><a href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a></div><div class="ttdeci">bool check_symmetric(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is symmetric. </div><div class="ttdef"><b>Definition:</b> <a href="check__symmetric_8hpp_source.html#l00037">check_symmetric.hpp:37</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a89f315f3af384f2d49a3a26eaef209ac"><div class="ttname"><a href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">stan::math::transpose</a></div><div class="ttdeci">Eigen::Matrix&lt; T, C, R &gt; transpose(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="transpose_8hpp_source.html#l00012">transpose.hpp:12</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="check__pos__definite_8hpp_html"><div class="ttname"><a href="check__pos__definite_8hpp.html">check_pos_definite.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__tri_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_tri.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="mdivide__right__tri_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a43a692492445dff37a2594267d530796"><td class="memTemplParams" colspan="2">template&lt;int TriView, typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a43a692492445dff37a2594267d530796"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a43a692492445dff37a2594267d530796">stan::math::mdivide_right_tri</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;b, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;A)</td></tr>
+<tr class="memdesc:a43a692492445dff37a2594267d530796"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b when A is triangular.  <a href="namespacestan_1_1math.html#a43a692492445dff37a2594267d530796">More...</a><br /></td></tr>
+<tr class="separator:a43a692492445dff37a2594267d530796"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_5ad826fc69c5de8867ad775040807419.html">fun</a></li>  </ul>
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+<div class="title">mdivide_right_tri.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="mdivide__right__tri_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MDIVIDE_RIGHT_TRI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MDIVIDE_RIGHT_TRI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__tri_8hpp.html">stan/math/prim/mat/fun/mdivide_left_tri.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="transpose_8hpp.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> TriView, <span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;              <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                  R1, C2&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a43a692492445dff37a2594267d530796">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a43a692492445dff37a2594267d530796">mdivide_right_tri</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R1, C1&gt; &amp;b,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                      <span class="keyword">const</span> Eigen::Matrix&lt;T2, R2, C2&gt; &amp;A) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;mdivide_right_tri&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_right_tri&quot;</span>,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                                                <span class="stringliteral">&quot;b&quot;</span>, b,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                                                <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="comment">// FIXME: This is nice and general but requires some extra memory</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="comment">//        and copying.</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">if</span> (TriView == Eigen::Lower) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>(mdivide_left_tri&lt;Eigen::Upper&gt;(<a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>(A),</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                                                        <a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>(b)));</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (TriView == Eigen::Upper) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>(mdivide_left_tri&lt;Eigen::Lower&gt;(<a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>(A),</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                                                        <a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>(b)));</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;triangular view must be Eigen::Lower or &quot;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;                                <span class="stringliteral">&quot;Eigen::Upper&quot;</span>);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      }</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    }</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;}</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__tri_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__tri_8hpp.html">mdivide_left_tri.hpp</a></div></div>
+<div class="ttc" id="transpose_8hpp_html"><div class="ttname"><a href="transpose_8hpp.html">transpose.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a89f315f3af384f2d49a3a26eaef209ac"><div class="ttname"><a href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">stan::math::transpose</a></div><div class="ttdeci">Eigen::Matrix&lt; T, C, R &gt; transpose(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="transpose_8hpp_source.html#l00012">transpose.hpp:12</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="mean_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a3443c4ac994b039a7f055c55c5afa8a3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a3443c4ac994b039a7f055c55c5afa8a3"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">stan::math::mean</a> (const std::vector&lt; T &gt; &amp;v)</td></tr>
+<tr class="memdesc:a3443c4ac994b039a7f055c55c5afa8a3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the sample mean (i.e., average) of the coefficients in the specified standard vector.  <a href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">More...</a><br /></td></tr>
+<tr class="separator:a3443c4ac994b039a7f055c55c5afa8a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8074c0041b93407c473fd26a7c45dc88"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a8074c0041b93407c473fd26a7c45dc88"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8074c0041b93407c473fd26a7c45dc88">stan::math::mean</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:a8074c0041b93407c473fd26a7c45dc88"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the sample mean (i.e., average) of the coefficients in the specified vector, row vector, or matrix.  <a href="namespacestan_1_1math.html#a8074c0041b93407c473fd26a7c45dc88">More...</a><br /></td></tr>
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+<a href="mean_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MEAN_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="min_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a3f076860549f63d55c0e4985dce78099"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3f076860549f63d55c0e4985dce78099">stan::math::min</a> (const std::vector&lt; int &gt; &amp;x)</td></tr>
+<tr class="memdesc:a3f076860549f63d55c0e4985dce78099"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the minimum coefficient in the specified column vector.  <a href="namespacestan_1_1math.html#a3f076860549f63d55c0e4985dce78099">More...</a><br /></td></tr>
+<tr class="separator:a3f076860549f63d55c0e4985dce78099"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9e9c3a01030d96fd4c8f28e2ed8d3d61"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9e9c3a01030d96fd4c8f28e2ed8d3d61"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9e9c3a01030d96fd4c8f28e2ed8d3d61">stan::math::min</a> (const std::vector&lt; T &gt; &amp;x)</td></tr>
+<tr class="memdesc:a9e9c3a01030d96fd4c8f28e2ed8d3d61"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the minimum coefficient in the specified column vector.  <a href="namespacestan_1_1math.html#a9e9c3a01030d96fd4c8f28e2ed8d3d61">More...</a><br /></td></tr>
+<tr class="separator:a9e9c3a01030d96fd4c8f28e2ed8d3d61"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a86f2380e5c54a549e0f74ffd51204d33"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a86f2380e5c54a549e0f74ffd51204d33"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a86f2380e5c54a549e0f74ffd51204d33">stan::math::min</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:a86f2380e5c54a549e0f74ffd51204d33"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the minimum coefficient in the specified matrix, vector, or row vector.  <a href="namespacestan_1_1math.html#a86f2380e5c54a549e0f74ffd51204d33">More...</a><br /></td></tr>
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+<div class="title">min.hpp</div>  </div>
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+<a href="min_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3f076860549f63d55c0e4985dce78099">   20</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#a3f076860549f63d55c0e4985dce78099">min</a>(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; x) {</div>
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+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordflow">if</span> (m.size() == 0)</div>
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+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    }</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;  }</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a87b343d6dc12982c2b76c453650c0797"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a87b343d6dc12982c2b76c453650c0797"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a87b343d6dc12982c2b76c453650c0797">stan::math::minus</a> (const T &amp;x)</td></tr>
+<tr class="memdesc:a87b343d6dc12982c2b76c453650c0797"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the negation of the specified scalar or matrix.  <a href="namespacestan_1_1math.html#a87b343d6dc12982c2b76c453650c0797">More...</a><br /></td></tr>
+<tr class="separator:a87b343d6dc12982c2b76c453650c0797"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a87b343d6dc12982c2b76c453650c0797">   16</a></span>&#160;    T <a class="code" href="namespacestan_1_1math.html#a87b343d6dc12982c2b76c453650c0797">minus</a>(<span class="keyword">const</span> T&amp; x) {</div>
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+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  }</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;}</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a87b343d6dc12982c2b76c453650c0797"><div class="ttname"><a href="namespacestan_1_1math.html#a87b343d6dc12982c2b76c453650c0797">stan::math::minus</a></div><div class="ttdeci">T minus(const T &amp;x)</div><div class="ttdoc">Returns the negation of the specified scalar or matrix. </div><div class="ttdef"><b>Definition:</b> <a href="minus_8hpp_source.html#l00016">minus.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html">stan/math/fwd/scal/meta/is_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2partials__type_8hpp_source.html">stan/math/fwd/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2partials__type_8hpp_source.html">stan/math/rev/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_8hpp_source.html">stan/math/prim/arr.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2arr_8hpp_source.html">stan/math/fwd/arr.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2arr_8hpp_source.html">stan/math/rev/arr.hpp</a>&gt;</code><br />
+</div>
+<p><a href="mix_2arr_8hpp_source.html">Go to the source code of this file.</a></p>
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+<a href="mix_2mat_2fun_2typedefs_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_MIX_MAT_FUN_TYPEDEFS_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="fwd_2mat_2fun_2_eigen___num_traits_8hpp_html"><div class="ttname"><a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp.html">Eigen_NumTraits.hpp</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_af7ad1f7cc49caf90a56fe364405e1187"><div class="ttname"><a href="namespacestan_1_1math.html#af7ad1f7cc49caf90a56fe364405e1187">stan::math::matrix_ffv</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; fvar&lt; var &gt; &gt;, Eigen::Dynamic, Eigen::Dynamic &gt; matrix_ffv</div><div class="ttdef"><b>Definition:</b> <a href="mix_2mat_2fun_2typedefs_8hpp_source.html#l00018">typedefs.hpp:18</a></div></div>
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+<div class="title">mat.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html">stan/math/fwd/scal/meta/is_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2partials__type_8hpp_source.html">stan/math/fwd/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2partials__type_8hpp_source.html">stan/math/rev/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_8hpp_source.html">stan/math/prim/mat.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2mat_8hpp_source.html">stan/math/fwd/mat.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_8hpp_source.html">stan/math/rev/mat.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mix_2mat_2fun_2typedefs_8hpp_source.html">stan/math/mix/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="derivative_8hpp_source.html">stan/math/mix/mat/functor/derivative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="finite__diff__grad__hessian_8hpp_source.html">stan/math/mix/mat/functor/finite_diff_grad_hessian.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__hessian_8hpp_source.html">stan/math/mix/mat/functor/grad_hessian.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__tr__mat__times__hessian_8hpp_source.html">stan/math/mix/mat/functor/grad_tr_mat_times_hessian.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gradient__dot__vector_8hpp_source.html">stan/math/mix/mat/functor/gradient_dot_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="hessian_8hpp_source.html">stan/math/mix/mat/functor/hessian.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="hessian__times__vector_8hpp_source.html">stan/math/mix/mat/functor/hessian_times_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partial__derivative_8hpp_source.html">stan/math/mix/mat/functor/partial_derivative.hpp</a>&gt;</code><br />
+</div>
+<p><a href="mix_2mat_8hpp_source.html">Go to the source code of this file.</a></p>
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+<a href="mix_2mat_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_MIX_MAT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_MIX_MAT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="fwd_2core_8hpp.html">stan/math/fwd/core.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2is__var_8hpp.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2partials__type_8hpp.html">stan/math/rev/scal/meta/partials_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_8hpp.html">stan/math/prim/mat.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="mix_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="mix_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<div class="ttc" id="rev_2scal_2meta_2partials__type_8hpp_html"><div class="ttname"><a href="rev_2scal_2meta_2partials__type_8hpp.html">partials_type.hpp</a></div></div>
+<div class="ttc" id="grad__hessian_8hpp_html"><div class="ttname"><a href="grad__hessian_8hpp.html">grad_hessian.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2meta_2is__fvar_8hpp_html"><div class="ttname"><a href="fwd_2scal_2meta_2is__fvar_8hpp.html">is_fvar.hpp</a></div></div>
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+<div class="ttc" id="partial__derivative_8hpp_html"><div class="ttname"><a href="partial__derivative_8hpp.html">partial_derivative.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_8hpp_html"><div class="ttname"><a href="rev_2mat_8hpp.html">mat.hpp</a></div></div>
+<div class="ttc" id="gradient__dot__vector_8hpp_html"><div class="ttname"><a href="gradient__dot__vector_8hpp.html">gradient_dot_vector.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_8hpp_html"><div class="ttname"><a href="prim_2mat_8hpp.html">mat.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2meta_2partials__type_8hpp_html"><div class="ttname"><a href="fwd_2scal_2meta_2partials__type_8hpp.html">partials_type.hpp</a></div></div>
+<div class="ttc" id="rev_2scal_2meta_2is__var_8hpp_html"><div class="ttname"><a href="rev_2scal_2meta_2is__var_8hpp.html">is_var.hpp</a></div></div>
+<div class="ttc" id="grad__tr__mat__times__hessian_8hpp_html"><div class="ttname"><a href="grad__tr__mat__times__hessian_8hpp.html">grad_tr_mat_times_hessian.hpp</a></div></div>
+<div class="ttc" id="fwd_2mat_8hpp_html"><div class="ttname"><a href="fwd_2mat_8hpp.html">mat.hpp</a></div></div>
+<div class="ttc" id="finite__diff__grad__hessian_8hpp_html"><div class="ttname"><a href="finite__diff__grad__hessian_8hpp.html">finite_diff_grad_hessian.hpp</a></div></div>
+<div class="ttc" id="hessian__times__vector_8hpp_html"><div class="ttname"><a href="hessian__times__vector_8hpp.html">hessian_times_vector.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="title">scal.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html">stan/math/fwd/scal/meta/is_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2partials__type_8hpp_source.html">stan/math/fwd/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/fwd/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2partials__type_8hpp_source.html">stan/math/rev/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/rev/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_8hpp_source.html">stan/math/prim/scal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="fwd_2scal_8hpp_source.html">stan/math/fwd/scal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_8hpp_source.html">stan/math/rev/scal.hpp</a>&gt;</code><br />
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+<a href="mix_2scal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_MIX_SCAL_HPP</span></div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
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+<div class="ttc" id="rev_2scal_8hpp_html"><div class="ttname"><a href="rev_2scal_8hpp.html">scal.hpp</a></div></div>
+<div class="ttc" id="fwd_2scal_2meta_2partials__type_8hpp_html"><div class="ttname"><a href="fwd_2scal_2meta_2partials__type_8hpp.html">partials_type.hpp</a></div></div>
+<div class="ttc" id="rev_2scal_2meta_2is__var_8hpp_html"><div class="ttname"><a href="rev_2scal_2meta_2is__var_8hpp.html">is_var.hpp</a></div></div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="textblock">Here is a list of all modules:</div><div class="directory">
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+<tr id="row_0_" class="even"><td class="entry"><span style="width:16px;display:inline-block;">&#160;</span><a class="el" href="group__csr__format.html" target="_self">Compressed Sparse Row matrix format.</a></td><td class="desc">A compressed Sparse Row (CSR) sparse matrix is defined by four component vectors labeled w, v, and u </td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<div class="textblock"><code>#include &lt;cstddef&gt;</code><br />
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<div class="line"><a name="l00010"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afcf62df7cae63f67b1c5c67651bc8dcf">   10</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#afcf62df7cae63f67b1c5c67651bc8dcf">modulus</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> x, <span class="keyword">const</span> <span class="keywordtype">int</span> y) {</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__self_8hpp_source.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log_8hpp_source.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a07d240bac837d28cf3d5922de0271cf8"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_covar , typename T_w &gt; </td></tr>
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+<tr class="memdesc:a07d240bac837d28cf3d5922de0271cf8"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of a multivariate Gaussian Process for the given y, w, and a Cholesky factor L of the kernel matrix Sigma.  <a href="namespacestan_1_1math.html#a07d240bac837d28cf3d5922de0271cf8">More...</a><br /></td></tr>
+<tr class="separator:a07d240bac837d28cf3d5922de0271cf8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a44ed8a0eabcdfa57bc7fde011d30bf8c"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_covar , typename T_w &gt; </td></tr>
+<tr class="memitem:a44ed8a0eabcdfa57bc7fde011d30bf8c"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_y, T_covar, T_w &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a44ed8a0eabcdfa57bc7fde011d30bf8c">stan::math::multi_gp_cholesky_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;L, const Eigen::Matrix&lt; T_w, Eigen::Dynamic, 1 &gt; &amp;w)</td></tr>
+<tr class="separator:a44ed8a0eabcdfa57bc7fde011d30bf8c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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new file mode 100644
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+<a href="multi__gp__cholesky__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_MULTI_GP_CHOLESKY_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_MULTI_GP_CHOLESKY_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log_8hpp.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="row_8hpp.html">stan/math/prim/mat/fun/row.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="comment">// MultiGPCholesky(y|L, w)   [y.rows() = w.size(), y.cols() = Sigma.rows();</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="comment">//                            Sigma symmetric, non-negative, definite]</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="comment"></span>    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_covar, <span class="keyword">typename</span> T_w&gt;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_y, T_covar, T_w&gt;::type</div>
+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a07d240bac837d28cf3d5922de0271cf8">   43</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a07d240bac837d28cf3d5922de0271cf8">multi_gp_cholesky_log</a>(<span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;                          &lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y,</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;                          <span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                          &lt;T_covar, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; L,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                          <span class="keyword">const</span> Eigen::Matrix&lt;T_w, Eigen::Dynamic, 1&gt;&amp; w) {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::multi_gp_cholesky_log&quot;</span>);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">typedef</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_y, T_covar, T_w&gt;::type T_lp;</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7eb79c8ce7ae730ba02342b4241aeac1">stan::math::mdivide_left_tri_low</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a1edae52ce70f3f0a9f7eb15f3416007c">stan::math::dot_self</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                       <span class="stringliteral">&quot;Size of random variable (rows y)&quot;</span>, y.rows(),</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                       <span class="stringliteral">&quot;Size of kernel scales (w)&quot;</span>, w.size());</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, y.cols(),</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                       <span class="stringliteral">&quot;rows of covariance parameter&quot;</span>, L.rows());</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Kernel scales&quot;</span>, w);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Kernel scales&quot;</span>, w);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">if</span> (y.rows() == 0)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>) {</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">NEG_LOG_SQRT_TWO_PI</a> * y.rows() * y.cols();</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      }</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_covar&gt;::value</a>) {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        lp -= L.diagonal().array().log().sum() * y.rows();</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_w&gt;::value</a>) {</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        lp += 0.5 * y.cols() * <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>(<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(w));</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
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+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        T_lp sum_lp_vec(0.0);</div>
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+<div class="ttc" id="prim_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2log_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log_8hpp.html">log.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa547146eaac690e79a611e50a6dffb4d"><div class="ttname"><a href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a></div><div class="ttdeci">bool check_size_match(const char *function, const char *name_i, T_size1 i, const char *name_j, T_size2 j)</div><div class="ttdoc">Return true if the provided sizes match. </div><div class="ttdef"><b>Definition:</b> <a href="check__size__match_8hpp_source.html#l00030">check_size_match.hpp:30</a></div></div>
+<div class="ttc" id="row_8hpp_html"><div class="ttname"><a href="row_8hpp.html">row.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a59f7f156224f9e60c2fb3e99034212eb"><div class="ttname"><a href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">stan::math::NEG_LOG_SQRT_TWO_PI</a></div><div class="ttdeci">const double NEG_LOG_SQRT_TWO_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00184">constants.hpp:184</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7eb79c8ce7ae730ba02342b4241aeac1"><div class="ttname"><a href="namespacestan_1_1math.html#a7eb79c8ce7ae730ba02342b4241aeac1">stan::math::mdivide_left_tri_low</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; mdivide_left_tri_low(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html#l00022">mdivide_left_tri_low.hpp:22</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2sum_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2sum_8hpp.html">sum.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2dot__self_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2dot__self_8hpp.html">dot_self.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp.html">mdivide_left_tri_low.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a07d240bac837d28cf3d5922de0271cf8"><div class="ttname"><a href="namespacestan_1_1math.html#a07d240bac837d28cf3d5922de0271cf8">stan::math::multi_gp_cholesky_log</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T_y, T_covar, T_w &gt;::type multi_gp_cholesky_log(const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;L, const Eigen::Matrix&lt; T_w, Eigen::Dynamic, 1 &gt; &amp;w)</div><div class="ttdoc">The log of a multivariate Gaussian Process for the given y, w, and a Cholesky factor L of the kernel ...</div><div class="ttdef"><b>Definition:</b> <a href="multi__gp__cholesky__log_8hpp_source.html#l00043">multi_gp_cholesky_log.hpp:43</a></div></div>
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+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log_8hpp_source.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp_source.html">stan/math/prim/mat/fun/trace_gen_inv_quad_form_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a74b27063a645fbb1e20add3cc5f2aed5"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_covar , typename T_w &gt; </td></tr>
+<tr class="memitem:a74b27063a645fbb1e20add3cc5f2aed5"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_y, T_covar, T_w &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a74b27063a645fbb1e20add3cc5f2aed5">stan::math::multi_gp_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;Sigma, const Eigen::Matrix&lt; T_w, Eigen::Dynamic, 1 &gt; &amp;w)</td></tr>
+<tr class="memdesc:a74b27063a645fbb1e20add3cc5f2aed5"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of a multivariate Gaussian Process for the given y, Sigma, and w.  <a href="namespacestan_1_1math.html#a74b27063a645fbb1e20add3cc5f2aed5">More...</a><br /></td></tr>
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+<a href="multi__gp__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_MULTI_GP_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_MULTI_GP_LOG_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log_8hpp.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp.html">stan/math/prim/mat/fun/trace_gen_inv_quad_form_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="comment">// MultiGP(y|Sigma, w)   [y.rows() = w.size(), y.cols() = Sigma.rows();</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="comment">//                            Sigma symmetric, non-negative, definite]</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="comment"></span>    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_covar, <span class="keyword">typename</span> T_w&gt;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_y, T_covar, T_w&gt;::type</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a74b27063a645fbb1e20add3cc5f2aed5">   45</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a74b27063a645fbb1e20add3cc5f2aed5">multi_gp_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; y,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                 <span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                 &lt;T_covar, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; Sigma,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                 <span class="keyword">const</span> Eigen::Matrix&lt;T_w, Eigen::Dynamic, 1&gt;&amp; w) {</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::multi_gp_log&quot;</span>);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_y, T_covar, T_w&gt;::type</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        T_lp;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      T_lp lp(0.0);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">stan::math::log_determinant_ldlt</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a03da89fcbd2829c84a5beeb9ccbf2ccf">stan::math::trace_gen_inv_quad_form_ldlt</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math::check_ldlt_factor</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Kernel rows&quot;</span>, Sigma.rows());</div>
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+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">check_symmetric</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Kernel&quot;</span>, Sigma);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor&lt;T_covar, Eigen::Dynamic, Eigen::Dynamic&gt;</a> ldlt_Sigma(Sigma);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">check_ldlt_factor</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;LDLT_Factor of Sigma&quot;</span>, ldlt_Sigma);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                       <span class="stringliteral">&quot;Size of random variable (rows y)&quot;</span>, y.rows(),</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                       <span class="stringliteral">&quot;Size of kernel scales (w)&quot;</span>, w.size());</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, y.cols(),</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                       <span class="stringliteral">&quot;rows of covariance parameter&quot;</span>, Sigma.rows());</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Kernel scales&quot;</span>, w);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">if</span> (y.rows() == 0)</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">NEG_LOG_SQRT_TWO_PI</a> * y.rows() * y.cols();</div>
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+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
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+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        Eigen::Matrix&lt;T_w, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a03da89fcbd2829c84a5beeb9ccbf2ccf"><div class="ttname"><a href="namespacestan_1_1math.html#a03da89fcbd2829c84a5beeb9ccbf2ccf">stan::math::trace_gen_inv_quad_form_ldlt</a></div><div class="ttdeci">boost::enable_if_c&lt;!stan::is_var&lt; T1 &gt;::value &amp;&amp;!stan::is_var&lt; T2 &gt;::value &amp;&amp;!stan::is_var&lt; T3 &gt;::value, typename boost::math::tools::promote_args&lt; T1, T2, T3 &gt;::type &gt;::type trace_gen_inv_quad_form_ldlt(const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;D, const stan::math::LDLT_factor&lt; T2, R2, C2 &gt; &amp;A, const Eigen::Matrix&lt; T3, R3, C3 &gt; &amp;B)</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp_source.html#l00030">trace_gen_inv_quad_form_ldlt.hpp:30</a></div></div>
+<div class="ttc" id="check__symmetric_8hpp_html"><div class="ttname"><a href="check__symmetric_8hpp.html">check_symmetric.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2log_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log_8hpp.html">log.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa547146eaac690e79a611e50a6dffb4d"><div class="ttname"><a href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a></div><div class="ttdeci">bool check_size_match(const char *function, const char *name_i, T_size1 i, const char *name_j, T_size2 j)</div><div class="ttdoc">Return true if the provided sizes match. </div><div class="ttdef"><b>Definition:</b> <a href="check__size__match_8hpp_source.html#l00030">check_size_match.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a74b27063a645fbb1e20add3cc5f2aed5"><div class="ttname"><a href="namespacestan_1_1math.html#a74b27063a645fbb1e20add3cc5f2aed5">stan::math::multi_gp_log</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T_y, T_covar, T_w &gt;::type multi_gp_log(const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y, const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;Sigma, const Eigen::Matrix&lt; T_w, Eigen::Dynamic, 1 &gt; &amp;w)</div><div class="ttdoc">The log of a multivariate Gaussian Process for the given y, Sigma, and w. </div><div class="ttdef"><b>Definition:</b> <a href="multi__gp__log_8hpp_source.html#l00045">multi_gp_log.hpp:45</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2sum_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2sum_8hpp.html">sum.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab874d14a9441896a9d9e0172ba555357"><div class="ttname"><a href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a></div><div class="ttdeci">bool check_symmetric(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is symmetric. </div><div class="ttdef"><b>Definition:</b> <a href="check__symmetric_8hpp_source.html#l00037">check_symmetric.hpp:37</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1d95f632b80e8653fe5891209bdeda45"><div class="ttname"><a href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">stan::math::log_determinant_ldlt</a></div><div class="ttdeci">T log_determinant_ldlt(stan::math::LDLT_factor&lt; T, R, C &gt; &amp;A)</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html#l00012">log_determinant_ldlt.hpp:12</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7547b05717280b1cc041309803ec797d"><div class="ttname"><a href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math::check_ldlt_factor</a></div><div class="ttdeci">bool check_ldlt_factor(const char *function, const char *name, stan::math::LDLT_factor&lt; T, R, C &gt; &amp;A)</div><div class="ttdoc">Return true if the argument is a valid stan::math::LDLT_factor. </div><div class="ttdef"><b>Definition:</b> <a href="check__ldlt__factor_8hpp_source.html#l00034">check_ldlt_factor.hpp:34</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2log__determinant__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">log_determinant_ldlt.hpp</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2mat_2fun_2columns__dot__product_8hpp_source.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2columns__dot__self_8hpp_source.html">stan/math/prim/mat/fun/columns_dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__self_8hpp_source.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log_8hpp_source.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant_8hpp_source.html">stan/math/prim/mat/fun/log_determinant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__spd_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="subtract_8hpp_source.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_view_mvt_8hpp_source.html">stan/math/prim/mat/meta/VectorViewMvt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="max__size__mvt_8hpp_source.html">stan/math/prim/scal/meta/max_size_mvt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="multi__normal__cholesky__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a73c48789407296b1fd9497d3e27ef26d"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_covar &gt; </td></tr>
+<tr class="memitem:a73c48789407296b1fd9497d3e27ef26d"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_covar &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a73c48789407296b1fd9497d3e27ef26d">stan::math::multi_normal_cholesky_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_covar &amp;L)</td></tr>
+<tr class="memdesc:a73c48789407296b1fd9497d3e27ef26d"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of the multivariate normal density for the given y, mu, and a Cholesky factor L of the variance matrix.  <a href="namespacestan_1_1math.html#a73c48789407296b1fd9497d3e27ef26d">More...</a><br /></td></tr>
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+<tr class="memitem:af5aed6517d1de44fc193a8bf7b018bfe"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_covar &gt; </td></tr>
+<tr class="memitem:af5aed6517d1de44fc193a8bf7b018bfe"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_covar &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af5aed6517d1de44fc193a8bf7b018bfe">stan::math::multi_normal_cholesky_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_covar &amp;L)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">multi_normal_cholesky_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="multi__normal__cholesky__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_MULTI_NORMAL_CHOLESKY_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_MULTI_NORMAL_CHOLESKY_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2columns__dot__product_8hpp.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2columns__dot__self_8hpp.html">stan/math/prim/mat/fun/columns_dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__self_8hpp.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log_8hpp.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant_8hpp.html">stan/math/prim/mat/fun/log_determinant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__spd_8hpp.html">stan/math/prim/mat/fun/mdivide_left_spd.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="subtract_8hpp.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2sum_8hpp.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_view_mvt_8hpp.html">stan/math/prim/mat/meta/VectorViewMvt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="max__size__mvt_8hpp.html">stan/math/prim/scal/meta/max_size_mvt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_covar&gt;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_covar&gt;::type</div>
+<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a73c48789407296b1fd9497d3e27ef26d">   47</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a73c48789407296b1fd9497d3e27ef26d">multi_normal_cholesky_log</a>(<span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                              <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                              <span class="keyword">const</span> T_covar&amp; L) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::multi_normal_cholesky_log&quot;</span>);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">scalar_type&lt;T_covar&gt;::type</a> T_covar_elem;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_loc, T_covar&gt;::type</a> lp_type;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      lp_type lp(0.0);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7eb79c8ce7ae730ba02342b4241aeac1">stan::math::mdivide_left_tri_low</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a1edae52ce70f3f0a9f7eb15f3416007c">stan::math::dot_self</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a38ba678d90cda4868c14d6d6bc6b509d">stan::math::subtract</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// size of std::vector of Eigen vectors</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordtype">size_t</span> size_vec = <a class="code" href="namespacestan.html#a7abf6526ceb23475508fd42299a7a369">max_size_mvt</a>(y, mu);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// Check if every vector of the array has the same size</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordtype">int</span> size_y = y_vec[0].size();</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordtype">int</span> size_mu = mu_vec[0].size();</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">if</span> (size_vec &gt; 1) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordtype">int</span> size_y_old = size_y;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordtype">int</span> size_y_new;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1, <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a> = <a class="code" href="namespacestan.html#a846e41c458181de76ce756303c68da3c">length_mvt</a>(y); i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; i++) {</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          <span class="keywordtype">int</span> size_y_new = y_vec[i].size();</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                           <span class="stringliteral">&quot;Size of one of the vectors of &quot;</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                           <span class="stringliteral">&quot;the random variable&quot;</span>, size_y_new,</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                           <span class="stringliteral">&quot;Size of another vector of the &quot;</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                           <span class="stringliteral">&quot;random variable&quot;</span>, size_y_old);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          size_y_old = size_y_new;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordtype">int</span> size_mu_old = size_mu;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordtype">int</span> size_mu_new;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1, size_ = <a class="code" href="namespacestan.html#a846e41c458181de76ce756303c68da3c">length_mvt</a>(mu); i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; i++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          <span class="keywordtype">int</span> size_mu_new = mu_vec[i].size();</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                           <span class="stringliteral">&quot;Size of one of the vectors of &quot;</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                           <span class="stringliteral">&quot;the location variable&quot;</span>, size_mu_new,</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                           <span class="stringliteral">&quot;Size of another vector of the &quot;</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                           <span class="stringliteral">&quot;location variable&quot;</span>, size_mu_old);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          size_mu_old = size_mu_new;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        }</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        (void) size_y_old;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        (void) size_y_new;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        (void) size_mu_old;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        (void) size_mu_new;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      }</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                       <span class="stringliteral">&quot;size of location parameter&quot;</span>, size_mu);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                       <span class="stringliteral">&quot;rows of covariance parameter&quot;</span>, L.rows());</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                       <span class="stringliteral">&quot;columns of covariance parameter&quot;</span>, L.cols());</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; size_vec; i++) {</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu_vec[i]);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y_vec[i]);</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      }</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      <span class="keywordflow">if</span> (size_y == 0)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">NEG_LOG_SQRT_TWO_PI</a> * size_y * size_vec;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_covar_elem&gt;::value</a>)</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        lp -= L.diagonal().array().log().sum() * size_vec;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_covar_elem&gt;::value</a>) {</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        lp_type sum_lp_vec(0.0);</div>
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+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;          Eigen::Matrix&lt;typename return_type&lt;T_y, T_loc&gt;::type,</div>
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+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;          <span class="comment">// FIXME: this code does not compile. revert after fixing subtract()</span></div>
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+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div>
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+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;}</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="prim_2mat_2fun_2log__determinant_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__determinant_8hpp.html">log_determinant.hpp</a></div></div>
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+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a38ba678d90cda4868c14d6d6bc6b509d"><div class="ttname"><a href="namespacestan_1_1math.html#a38ba678d90cda4868c14d6d6bc6b509d">stan::math::subtract</a></div><div class="ttdeci">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R, C &gt; subtract(const Eigen::Matrix&lt; T1, R, C &gt; &amp;m1, const Eigen::Matrix&lt; T2, R, C &gt; &amp;m2)</div><div class="ttdoc">Return the result of subtracting the second specified matrix from the first specified matrix...</div><div class="ttdef"><b>Definition:</b> <a href="subtract_8hpp_source.html#l00027">subtract.hpp:27</a></div></div>
+<div class="ttc" id="_vector_view_mvt_8hpp_html"><div class="ttname"><a href="_vector_view_mvt_8hpp.html">VectorViewMvt.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a35a69b84ead3c81cbaff702ac429e1cc"><div class="ttname"><a href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; multiply(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;m, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00021">multiply.hpp:21</a></div></div>
+<div class="ttc" id="structstan_1_1scalar__type_html_aa9068e42d81d7091f822df126fe932b7"><div class="ttname"><a href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">stan::scalar_type::type</a></div><div class="ttdeci">scalar_type_helper&lt; is_vector&lt; T &gt;::value, T &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2scalar__type_8hpp_source.html#l00035">scalar_type.hpp:35</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1edae52ce70f3f0a9f7eb15f3416007c"><div class="ttname"><a href="namespacestan_1_1math.html#a1edae52ce70f3f0a9f7eb15f3416007c">stan::math::dot_self</a></div><div class="ttdeci">fvar&lt; T &gt; dot_self(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__self_8hpp_source.html#l00016">dot_self.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2log_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log_8hpp.html">log.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2sum_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2sum_8hpp.html">sum.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2dot__self_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2dot__self_8hpp.html">dot_self.hpp</a></div></div>
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+<div class="ttc" id="subtract_8hpp_html"><div class="ttname"><a href="subtract_8hpp.html">subtract.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp.html">mdivide_left_tri_low.hpp</a></div></div>
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+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">multi_normal_cholesky_rng.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2columns__dot__product_8hpp_source.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2columns__dot__self_8hpp_source.html">stan/math/prim/mat/fun/columns_dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__self_8hpp_source.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log_8hpp_source.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant_8hpp_source.html">stan/math/prim/mat/fun/log_determinant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__spd_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="subtract_8hpp_source.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+</div>
+<p><a href="multi__normal__cholesky__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a37a359079d7b7324ec30bcf91755ebd6"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a37a359079d7b7324ec30bcf91755ebd6"><td class="memTemplItemLeft" align="right" valign="top">Eigen::VectorXd&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a37a359079d7b7324ec30bcf91755ebd6">stan::math::multi_normal_cholesky_rng</a> (const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;mu, const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S, RNG &amp;rng)</td></tr>
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+<div class="title">multi_normal_cholesky_rng.hpp</div>  </div>
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+<a href="multi__normal__cholesky__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_MULTI_NORMAL_CHOLESKY_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_MULTI_NORMAL_CHOLESKY_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2columns__dot__product_8hpp.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2columns__dot__self_8hpp.html">stan/math/prim/mat/fun/columns_dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__self_8hpp.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log_8hpp.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant_8hpp.html">stan/math/prim/mat/fun/log_determinant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__spd_8hpp.html">stan/math/prim/mat/fun/mdivide_left_spd.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="subtract_8hpp.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2sum_8hpp.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">inline</span> Eigen::VectorXd</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a37a359079d7b7324ec30bcf91755ebd6">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a37a359079d7b7324ec30bcf91755ebd6">multi_normal_cholesky_rng</a>(</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; mu,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; S,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      RNG&amp; rng</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    ) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> boost::normal_distribution;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::multi_normal_cholesky_rng&quot;</span>);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      variate_generator&lt;RNG&amp;, normal_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        std_normal_rng(rng, normal_distribution&lt;&gt;(0, 1));</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      Eigen::VectorXd z(S.cols());</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; S.cols(); i++)</div>
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+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="multi__normal__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html">stan/math/prim/mat/fun/trace_inv_quad_form_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_view_mvt_8hpp.html">stan/math/prim/mat/meta/VectorViewMvt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="max__size__mvt_8hpp.html">stan/math/prim/scal/meta/max_size_mvt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_covar&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_covar&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a69fa873591f0954b506eb709537a73f8">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a69fa873591f0954b506eb709537a73f8">multi_normal_log</a>(<span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                     <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                     <span class="keyword">const</span> T_covar&amp; Sigma) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::multi_normal_log&quot;</span>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">scalar_type&lt;T_covar&gt;::type</a> T_covar_elem;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_loc, T_covar&gt;::type</a> lp_type;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      lp_type lp(0.0);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math::check_ldlt_factor</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Covariance matrix rows&quot;</span>, Sigma.rows());</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">check_symmetric</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Covariance matrix&quot;</span>, Sigma);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor&lt;T_covar_elem, Dynamic, Dynamic&gt;</a> ldlt_Sigma(Sigma);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">check_ldlt_factor</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                        <span class="stringliteral">&quot;LDLT_Factor of covariance parameter&quot;</span>, ldlt_Sigma);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="comment">// size of std::vector of Eigen vectors</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordtype">size_t</span> size_vec = <a class="code" href="namespacestan.html#a7abf6526ceb23475508fd42299a7a369">max_size_mvt</a>(y, mu);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="comment">// Check if every vector of the array has the same size</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordtype">int</span> size_y = y_vec[0].size();</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keywordtype">int</span> size_mu = mu_vec[0].size();</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordflow">if</span> (size_vec &gt; 1) {</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <span class="keywordtype">int</span> size_y_old = size_y;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordtype">int</span> size_y_new;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1, <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a> = <a class="code" href="namespacestan.html#a846e41c458181de76ce756303c68da3c">length_mvt</a>(y); i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; i++) {</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;          <span class="keywordtype">int</span> size_y_new = y_vec[i].size();</div>
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+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                           <span class="stringliteral">&quot;Size of one of the vectors of &quot;</span></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                           <span class="stringliteral">&quot;the random variable&quot;</span>, size_y_new,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                           <span class="stringliteral">&quot;Size of another vector of the &quot;</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                           <span class="stringliteral">&quot;random variable&quot;</span>, size_y_old);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;          size_y_old = size_y_new;</div>
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+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordtype">int</span> size_mu_new;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1, size_ = <a class="code" href="namespacestan.html#a846e41c458181de76ce756303c68da3c">length_mvt</a>(mu); i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; i++) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          <span class="keywordtype">int</span> size_mu_new = mu_vec[i].size();</div>
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+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                           <span class="stringliteral">&quot;Size of one of the vectors of &quot;</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                           <span class="stringliteral">&quot;the location variable&quot;</span>, size_mu_new,</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                           <span class="stringliteral">&quot;Size of another vector of the &quot;</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                           <span class="stringliteral">&quot;location variable&quot;</span>, size_mu_old);</div>
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+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                       <span class="stringliteral">&quot;size of location parameter&quot;</span>, size_mu);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                       <span class="stringliteral">&quot;rows of covariance parameter&quot;</span>, Sigma.rows());</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                       <span class="stringliteral">&quot;columns of covariance parameter&quot;</span>, Sigma.cols());</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
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+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y_vec[i]);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      }</div>
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+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">NEG_LOG_SQRT_TWO_PI</a> * size_y * size_vec;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_covar_elem&gt;::value</a>)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        lp -= 0.5 * <a class="code" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">log_determinant_ldlt</a>(ldlt_Sigma) * size_vec;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_covar_elem&gt;::value</a>) {</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        lp_type sum_lp_vec(0.0);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; size_vec; i++) {</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;          Eigen::Matrix&lt;typename return_type&lt;T_y, T_loc&gt;::type, Dynamic, 1&gt;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;            y_minus_mu(size_y);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; size_y; j++)</div>
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+<div class="ttc" id="check__symmetric_8hpp_html"><div class="ttname"><a href="check__symmetric_8hpp.html">check_symmetric.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2log__determinant__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">log_determinant_ldlt.hpp</a></div></div>
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+<div class="title">multi_normal_prec_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__ldlt__factor_8hpp_source.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2columns__dot__product_8hpp_source.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2columns__dot__self_8hpp_source.html">stan/math/prim/mat/fun/columns_dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__self_8hpp_source.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log_8hpp_source.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant_8hpp_source.html">stan/math/prim/mat/fun/log_determinant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__spd_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="subtract_8hpp_source.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__quad__form_8hpp_source.html">stan/math/prim/mat/fun/trace_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_view_mvt_8hpp_source.html">stan/math/prim/mat/meta/VectorViewMvt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="max__size__mvt_8hpp_source.html">stan/math/prim/scal/meta/max_size_mvt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+</div>
+<p><a href="multi__normal__prec__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a83fb51aaff3da3d727bc12a3cdd106c5"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_covar &gt; </td></tr>
+<tr class="memitem:a83fb51aaff3da3d727bc12a3cdd106c5"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_covar &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a83fb51aaff3da3d727bc12a3cdd106c5">stan::math::multi_normal_prec_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_covar &amp;Sigma)</td></tr>
+<tr class="separator:a83fb51aaff3da3d727bc12a3cdd106c5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a79191e304518140dbaf8feaab2c90aab"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_covar &gt; </td></tr>
+<tr class="memitem:a79191e304518140dbaf8feaab2c90aab"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_covar &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a79191e304518140dbaf8feaab2c90aab">stan::math::multi_normal_prec_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_covar &amp;Sigma)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">multi_normal_prec_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="multi__normal__prec__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_MULTI_NORMAL_PREC_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_MULTI_NORMAL_PREC_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2columns__dot__product_8hpp.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2columns__dot__self_8hpp.html">stan/math/prim/mat/fun/columns_dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__self_8hpp.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log_8hpp.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant_8hpp.html">stan/math/prim/mat/fun/log_determinant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__spd_8hpp.html">stan/math/prim/mat/fun/mdivide_left_spd.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="subtract_8hpp.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2sum_8hpp.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2trace__quad__form_8hpp.html">stan/math/prim/mat/fun/trace_quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_view_mvt_8hpp.html">stan/math/prim/mat/meta/VectorViewMvt.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                          <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                          <span class="keyword">const</span> T_covar&amp; Sigma) {</div>
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+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3e0c22a58b3d6fe9d4d6e0131ca791a6">stan::math::trace_quad_form</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">stan::math::log_determinant_ldlt</a>;</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math::check_ldlt_factor</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Precision matrix rows&quot;</span>, Sigma.rows());</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">check_symmetric</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Precision matrix&quot;</span>, Sigma);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a>&lt;T_covar_elem,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        Eigen::Dynamic, Eigen::Dynamic&gt; ldlt_Sigma(Sigma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">check_ldlt_factor</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;LDLT_Factor of precision parameter&quot;</span>,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                        ldlt_Sigma);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> std::vector;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// size of std::vector of Eigen vectors</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordtype">size_t</span> size_vec = <a class="code" href="namespacestan.html#a7abf6526ceb23475508fd42299a7a369">max_size_mvt</a>(y, mu);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// Check if every vector of the array has the same size</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordtype">int</span> size_y = y_vec[0].size();</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordtype">int</span> size_mu = mu_vec[0].size();</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">if</span> (size_vec &gt; 1) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordtype">int</span> size_y_old = size_y;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordtype">int</span> size_y_new;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1, <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a> = <a class="code" href="namespacestan.html#a846e41c458181de76ce756303c68da3c">length_mvt</a>(y); i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; i++) {</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          <span class="keywordtype">int</span> size_y_new = y_vec[i].size();</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                           <span class="stringliteral">&quot;Size of one of the vectors &quot;</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                           <span class="stringliteral">&quot;of the random variable&quot;</span>, size_y_new,</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                           <span class="stringliteral">&quot;Size of another vector of &quot;</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                           <span class="stringliteral">&quot;the random variable&quot;</span>, size_y_old);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          size_y_old = size_y_new;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordtype">int</span> size_mu_old = size_mu;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordtype">int</span> size_mu_new;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1, size_ = <a class="code" href="namespacestan.html#a846e41c458181de76ce756303c68da3c">length_mvt</a>(mu); i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; i++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          <span class="keywordtype">int</span> size_mu_new = mu_vec[i].size();</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                           <span class="stringliteral">&quot;Size of one of the vectors &quot;</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                           <span class="stringliteral">&quot;of the location variable&quot;</span>, size_mu_new,</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                           <span class="stringliteral">&quot;Size of another vector of &quot;</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                           <span class="stringliteral">&quot;the location variable&quot;</span>, size_mu_old);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          size_mu_old = size_mu_new;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        }</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        (void) size_y_old;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        (void) size_y_new;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        (void) size_mu_old;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        (void) size_mu_new;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      }</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                       <span class="stringliteral">&quot;size of location parameter&quot;</span>, size_mu);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                       <span class="stringliteral">&quot;rows of covariance parameter&quot;</span>, Sigma.rows());</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                       <span class="stringliteral">&quot;columns of covariance parameter&quot;</span>, Sigma.cols());</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; size_vec; i++) {</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu_vec[i]);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y_vec[i]);</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      }</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      <span class="keywordflow">if</span> (size_y == 0)  <span class="comment">// y_vec[0].size() == 0</span></div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_covar_elem&gt;::value</a>)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        lp += 0.5 * <a class="code" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">log_determinant_ldlt</a>(ldlt_Sigma) * size_vec;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
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+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_covar_elem&gt;::value</a>) {</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        lp_type sum_lp_vec(0.0);</div>
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+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;          Eigen::Matrix&lt;typename return_type&lt;T_y, T_loc&gt;::type,</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            Eigen::Dynamic, 1&gt; y_minus_mu(size_y);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; size_y; j++)</div>
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+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
+<div class="ttc" id="max__size__mvt_8hpp_html"><div class="ttname"><a href="max__size__mvt_8hpp.html">max_size_mvt.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_a7abf6526ceb23475508fd42299a7a369"><div class="ttname"><a href="namespacestan.html#a7abf6526ceb23475508fd42299a7a369">stan::max_size_mvt</a></div><div class="ttdeci">size_t max_size_mvt(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size__mvt_8hpp_source.html#l00010">max_size_mvt.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3e0c22a58b3d6fe9d4d6e0131ca791a6"><div class="ttname"><a href="namespacestan_1_1math.html#a3e0c22a58b3d6fe9d4d6e0131ca791a6">stan::math::trace_quad_form</a></div><div class="ttdeci">fvar&lt; T &gt; trace_quad_form(const Eigen::Matrix&lt; fvar&lt; T &gt;, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, RB, CB &gt; &amp;B)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2trace__quad__form_8hpp_source.html#l00018">trace_quad_form.hpp:18</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__spd_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__spd_8hpp.html">mdivide_left_spd.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2log__determinant_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__determinant_8hpp.html">log_determinant.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="_vector_view_mvt_8hpp_html"><div class="ttname"><a href="_vector_view_mvt_8hpp.html">VectorViewMvt.hpp</a></div></div>
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+<div class="title">multi_normal_rng.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__ldlt__factor_8hpp_source.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">stan/math/prim/mat/fun/trace_inv_quad_form_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+</div>
+<p><a href="multi__normal__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:aefcc0f0ea45582c996a1a4107aa603c6"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:aefcc0f0ea45582c996a1a4107aa603c6"><td class="memTemplItemLeft" align="right" valign="top">Eigen::VectorXd&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aefcc0f0ea45582c996a1a4107aa603c6">stan::math::multi_normal_rng</a> (const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;mu, const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S, RNG &amp;rng)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">multi_normal_rng.hpp</div>  </div>
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+<a href="multi__normal__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_MULTI_NORMAL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_MULTI_NORMAL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html">stan/math/prim/mat/fun/trace_inv_quad_form_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">inline</span> Eigen::VectorXd</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aefcc0f0ea45582c996a1a4107aa603c6">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aefcc0f0ea45582c996a1a4107aa603c6">multi_normal_rng</a>(</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; mu,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; S,</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    ) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> boost::normal_distribution;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::multi_normal_rng&quot;</span>);</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Covariance matrix rows&quot;</span>, S.rows());</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">check_symmetric</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Covariance matrix&quot;</span>, S);</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      variate_generator&lt;RNG&amp;, normal_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        std_normal_rng(rng, normal_distribution&lt;&gt;(0, 1));</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      Eigen::VectorXd z(S.cols());</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; S.cols(); i++)</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        z(i) = std_normal_rng();</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keywordflow">return</span> mu + S.llt().matrixL() * z;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    }</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;  }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;}</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html">trace_inv_quad_form_ldlt.hpp</a></div></div>
+<div class="ttc" id="check__symmetric_8hpp_html"><div class="ttname"><a href="check__symmetric_8hpp.html">check_symmetric.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__ldlt__factor_8hpp_html"><div class="ttname"><a href="check__ldlt__factor_8hpp.html">check_ldlt_factor.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aefcc0f0ea45582c996a1a4107aa603c6"><div class="ttname"><a href="namespacestan_1_1math.html#aefcc0f0ea45582c996a1a4107aa603c6">stan::math::multi_normal_rng</a></div><div class="ttdeci">Eigen::VectorXd multi_normal_rng(const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;mu, const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="multi__normal__rng_8hpp_source.html#l00024">multi_normal_rng.hpp:24</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab874d14a9441896a9d9e0172ba555357"><div class="ttname"><a href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a></div><div class="ttdeci">bool check_symmetric(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is symmetric. </div><div class="ttdef"><b>Definition:</b> <a href="check__symmetric_8hpp_source.html#l00037">check_symmetric.hpp:37</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2log__determinant__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">log_determinant_ldlt.hpp</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__ldlt__factor_8hpp_source.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="subtract_8hpp_source.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_view_mvt_8hpp_source.html">stan/math/prim/mat/meta/VectorViewMvt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multi__normal__log_8hpp_source.html">stan/math/prim/mat/prob/multi_normal_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;cstdlib&gt;</code><br />
+</div>
+<p><a href="multi__student__t__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac7b9a72ca7018cbf7883d7104345b4f6"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:ac7b9a72ca7018cbf7883d7104345b4f6"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac7b9a72ca7018cbf7883d7104345b4f6">stan::math::multi_student_t_log</a> (const T_y &amp;y, const T_dof &amp;nu, const T_loc &amp;mu, const T_scale &amp;Sigma)</td></tr>
+<tr class="memdesc:ac7b9a72ca7018cbf7883d7104345b4f6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of the multivariate Student t distribution at the specified arguments.  <a href="namespacestan_1_1math.html#ac7b9a72ca7018cbf7883d7104345b4f6">More...</a><br /></td></tr>
+<tr class="separator:ac7b9a72ca7018cbf7883d7104345b4f6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1e1b7da1cebae4c8db3067f614c777aa"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a1e1b7da1cebae4c8db3067f614c777aa"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1e1b7da1cebae4c8db3067f614c777aa">stan::math::multi_student_t_log</a> (const T_y &amp;y, const T_dof &amp;nu, const T_loc &amp;mu, const T_scale &amp;Sigma)</td></tr>
+<tr class="separator:a1e1b7da1cebae4c8db3067f614c777aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">multi_student_t_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="multi__student__t__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_MULTI_STUDENT_T_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_MULTI_STUDENT_T_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="subtract_8hpp.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_view_mvt_8hpp.html">stan/math/prim/mat/meta/VectorViewMvt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="multi__normal__log_8hpp.html">stan/math/prim/mat/prob/multi_normal_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;cstdlib&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac7b9a72ca7018cbf7883d7104345b4f6">   35</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ac7b9a72ca7018cbf7883d7104345b4f6">multi_student_t_log</a>(<span class="keyword">const</span> T_y&amp; y,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                        <span class="keyword">const</span> T_dof&amp; nu,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                        <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                        <span class="keyword">const</span> T_scale&amp; Sigma) {</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::multi_student_t&quot;</span>);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">boost::math::lgamma</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">stan::math::log_determinant_ldlt</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math::check_ldlt_factor</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">stan::math::log1p</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">scalar_type&lt;T_scale&gt;::type</a> T_scale_elem;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_dof, T_loc, T_scale&gt;::type</a> lp_type;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      lp_type lp(0.0);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="comment">// allows infinities</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="namespacestd.html#a0bd8de4059fbba0fe38dc56567f2158a">isinf</a>(nu))  <span class="comment">// already checked nu &gt; 0</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a69fa873591f0954b506eb709537a73f8">multi_normal_log</a>(y, mu, Sigma);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> std::vector;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view_mvt.html">VectorViewMvt&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// size of std::vector of Eigen vectors</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordtype">size_t</span> size_vec = <a class="code" href="namespacestan.html#a7abf6526ceb23475508fd42299a7a369">max_size_mvt</a>(y, mu);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="comment">// Check if every vector of the array has the same size</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordtype">int</span> size_y = y_vec[0].size();</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordtype">int</span> size_mu = mu_vec[0].size();</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordflow">if</span> (size_vec &gt; 1) {</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keywordtype">int</span> size_y_old = size_y;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordtype">int</span> size_y_new;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1, <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a> = <a class="code" href="namespacestan.html#a846e41c458181de76ce756303c68da3c">length_mvt</a>(y); i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; i++) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          <span class="keywordtype">int</span> size_y_new = y_vec[i].size();</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                           <span class="stringliteral">&quot;Size of one of the vectors of the random variable&quot;</span>,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                           size_y_new,</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                           <span class="stringliteral">&quot;Size of another vector of the random variable&quot;</span>,</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                           size_y_old);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          size_y_old = size_y_new;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        }</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keywordtype">int</span> size_mu_old = size_mu;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordtype">int</span> size_mu_new;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1, size_ = <a class="code" href="namespacestan.html#a846e41c458181de76ce756303c68da3c">length_mvt</a>(mu); i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; i++) {</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          <span class="keywordtype">int</span> size_mu_new = mu_vec[i].size();</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;          <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                           <span class="stringliteral">&quot;Size of one of the vectors &quot;</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                           <span class="stringliteral">&quot;of the location variable&quot;</span>,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                           size_mu_new,</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                           <span class="stringliteral">&quot;Size of another vector of &quot;</span></div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                           <span class="stringliteral">&quot;the location variable&quot;</span>,</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;                           size_mu_old);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          size_mu_old = size_mu_new;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        (void) size_y_old;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        (void) size_y_new;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        (void) size_mu_old;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        (void) size_mu_new;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                       <span class="stringliteral">&quot;size of location parameter&quot;</span>, size_mu);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                       <span class="stringliteral">&quot;rows of scale parameter&quot;</span>, Sigma.rows());</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                       <span class="stringliteral">&quot;Size of random variable&quot;</span>, size_y,</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;                       <span class="stringliteral">&quot;columns of scale parameter&quot;</span>, Sigma.cols());</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; size_vec; i++) {</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu_vec[i]);</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y_vec[i]);</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;      }</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">check_symmetric</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, Sigma);</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a>&lt;T_scale_elem,</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        Eigen::Dynamic, Eigen::Dynamic&gt; ldlt_Sigma(Sigma);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">check_ldlt_factor</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;LDLT_Factor of scale parameter&quot;</span>, ldlt_Sigma);</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      <span class="keywordflow">if</span> (size_y == 0)  <span class="comment">// y_vec[0].size() == 0</span></div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(0.5 * (nu + size_y)) * size_vec;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        lp -= <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(0.5 * nu) * size_vec;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        lp -= (0.5 * size_y) * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(nu) * size_vec;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      }</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        lp -= (0.5 * size_y) * <a class="code" href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">LOG_PI</a> * size_vec;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a>;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">stan::math::dot_product</a>;</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a38ba678d90cda4868c14d6d6bc6b509d">stan::math::subtract</a>;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      <span class="keyword">using</span> Eigen::Array;</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;</div>
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+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;      }</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;</div>
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+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        lp_type sum_lp_vec(0.0);</div>
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+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            Eigen::Dynamic, 1&gt; y_minus_mu(size_y);</div>
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+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;</div>
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+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;}</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="_vector_view_mvt_8hpp_html"><div class="ttname"><a href="_vector_view_mvt_8hpp.html">VectorViewMvt.hpp</a></div></div>
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+<div class="title">multi_student_t_rng.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__ldlt__factor_8hpp_source.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="subtract_8hpp_source.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multi__normal__rng_8hpp_source.html">stan/math/prim/mat/prob/multi_normal_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__gamma__rng_8hpp_source.html">stan/math/prim/scal/prob/inv_gamma_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;cstdlib&gt;</code><br />
+</div>
+<p><a href="multi__student__t__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a62ca08f9f743eddc410f87ee2621d653"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a62ca08f9f743eddc410f87ee2621d653"><td class="memTemplItemLeft" align="right" valign="top">Eigen::VectorXd&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a62ca08f9f743eddc410f87ee2621d653">stan::math::multi_student_t_rng</a> (const double nu, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;mu, const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;s, RNG &amp;rng)</td></tr>
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+<div class="title">multi_student_t_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="multi__student__t__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_MULTI_STUDENT_T_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_MULTI_STUDENT_T_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="subtract_8hpp.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="multi__normal__rng_8hpp.html">stan/math/prim/mat/prob/multi_normal_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inv__gamma__rng_8hpp.html">stan/math/prim/scal/prob/inv_gamma_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cstdlib&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">inline</span> Eigen::VectorXd</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a62ca08f9f743eddc410f87ee2621d653">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a62ca08f9f743eddc410f87ee2621d653">multi_student_t_rng</a>(</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> nu,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; mu,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; s,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      RNG&amp; rng</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    ) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::multi_student_t_rng&quot;</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">check_symmetric</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, s);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      Eigen::VectorXd z(s.cols());</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      z.setZero();</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordtype">double</span> w = <a class="code" href="namespacestan_1_1math.html#a3222e632ba4aaeb90753a96520799867">stan::math::inv_gamma_rng</a>(nu / 2, nu / 2, rng);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordflow">return</span> mu + <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(w) * <a class="code" href="namespacestan_1_1math.html#aefcc0f0ea45582c996a1a4107aa603c6">stan::math::multi_normal_rng</a>(z, s, rng);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    }</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  }</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;}</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2multiply_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2multiply_8hpp.html">multiply.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
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+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a65b47c026be99de35988287412664e3d"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_prob &gt; </td></tr>
+<tr class="memitem:a65b47c026be99de35988287412664e3d"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a65b47c026be99de35988287412664e3d">stan::math::multinomial_log</a> (const std::vector&lt; int &gt; &amp;ns, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</td></tr>
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+<tr class="memitem:ae23c14c3cb5d40c6fa46b89ddc5d5285"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_prob &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae23c14c3cb5d40c6fa46b89ddc5d5285">stan::math::multinomial_log</a> (const std::vector&lt; int &gt; &amp;ns, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</td></tr>
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+<a href="multinomial__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_MULTINOMIAL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_MULTINOMIAL_LOG_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__simplex_8hpp.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="comment">// Multinomial(ns|N, theta)   [0 &lt;= n &lt;= N;  SUM ns = N;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="comment">//                            0 &lt;= theta[n] &lt;= 1;  SUM theta = 1]</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;              <span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a65b47c026be99de35988287412664e3d">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a65b47c026be99de35988287412664e3d">multinomial_log</a>(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; ns,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                    <span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp; theta) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::multinomial_log&quot;</span>);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math::check_simplex</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">boost::math::lgamma</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">typename</span> promote_args&lt;T_prob&gt;::type lp(0.0);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Number of trials variable&quot;</span>, ns);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">check_simplex</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probabilites parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                       <span class="stringliteral">&quot;Size of number of trials variable&quot;</span>, ns.size(),</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                       <span class="stringliteral">&quot;rows of probabilities parameter&quot;</span>, theta.rows());</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>) {</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a> = 1.0;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i &lt; ns.size(); ++i)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;          sum += ns[i];</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(sum);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i &lt; ns.size(); ++i)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;          lp -= <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(ns[i] + 1.0);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_prob&gt;::value</a>) {</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i &lt; ns.size(); ++i)</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;          lp += <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">multiply_log</a>(ns[i], theta[i]);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      }</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    }</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_prob&gt;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_prob&gt;::type</div>
+<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae23c14c3cb5d40c6fa46b89ddc5d5285">   59</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a65b47c026be99de35988287412664e3d">multinomial_log</a>(<span class="keyword">const</span> std::vector&lt;int&gt;&amp; ns,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                    <span class="keyword">const</span> Eigen::Matrix&lt;T_prob, Eigen::Dynamic, 1&gt;&amp; theta) {</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordflow">return</span> multinomial_log&lt;false&gt;(ns, theta);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    }</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;  }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;}</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="check__simplex_8hpp_html"><div class="ttname"><a href="check__simplex_8hpp.html">check_simplex.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aead76f03bdbc60484ad760fc31bad40f"><div class="ttname"><a href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a></div><div class="ttdeci">fvar&lt; T &gt; lgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">lgamma.hpp:15</a></div></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa547146eaac690e79a611e50a6dffb4d"><div class="ttname"><a href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a></div><div class="ttdeci">bool check_size_match(const char *function, const char *name_i, T_size1 i, const char *name_j, T_size2 j)</div><div class="ttdoc">Return true if the provided sizes match. </div><div class="ttdef"><b>Definition:</b> <a href="check__size__match_8hpp_source.html#l00030">check_size_match.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a055efd6bb49a1df5ea4da98d1078d0e6"><div class="ttname"><a href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a></div><div class="ttdeci">fvar&lt; T &gt; multiply_log(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2multiply__log_8hpp_source.html#l00015">multiply_log.hpp:15</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6affd19d4999c427291a2bbb07bce304"><div class="ttname"><a href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math::check_simplex</a></div><div class="ttdeci">bool check_simplex(const char *function, const char *name, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</div><div class="ttdoc">Return true if the specified vector is simplex. </div><div class="ttdef"><b>Definition:</b> <a href="check__simplex_8hpp_source.html#l00041">check_simplex.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a65b47c026be99de35988287412664e3d"><div class="ttname"><a href="namespacestan_1_1math.html#a65b47c026be99de35988287412664e3d">stan::math::multinomial_log</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T_prob &gt;::type multinomial_log(const std::vector&lt; int &gt; &amp;ns, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</div><div class="ttdef"><b>Definition:</b> <a href="multinomial__log_8hpp_source.html#l00024">multinomial_log.hpp:24</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__simplex_8hpp_source.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="binomial__rng_8hpp_source.html">stan/math/prim/scal/prob/binomial_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="multinomial__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a99ab77cc7ea8b9f49a61abe7576c8331"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a99ab77cc7ea8b9f49a61abe7576c8331"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a99ab77cc7ea8b9f49a61abe7576c8331">stan::math::multinomial_rng</a> (const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;theta, const int N, RNG &amp;rng)</td></tr>
+<tr class="separator:a99ab77cc7ea8b9f49a61abe7576c8331"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">multinomial_rng.hpp</div>  </div>
+</div><!--header-->
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+<a href="multinomial__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_MULTINOMIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_MULTINOMIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__simplex_8hpp.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="binomial__rng_8hpp.html">stan/math/prim/scal/prob/binomial_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">inline</span> std::vector&lt;int&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a99ab77cc7ea8b9f49a61abe7576c8331">   23</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a99ab77cc7ea8b9f49a61abe7576c8331">multinomial_rng</a>(<span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; theta,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                    <span class="keyword">const</span> <span class="keywordtype">int</span> N,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                    RNG&amp; rng) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::multinomial_rng&quot;</span>);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math::check_simplex</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">check_simplex</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Probabilites parameter&quot;</span>, theta);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;number of trials variables&quot;</span>, N);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      std::vector&lt;int&gt; result(theta.size(), 0);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keywordtype">double</span> mass_left = 1.0;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordtype">int</span> n_left = N;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; n_left &gt; 0 &amp;&amp; k &lt; theta.size(); ++k) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <span class="keywordtype">double</span> p = theta[k] / mass_left;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordflow">if</span> (p &gt; 1.0) p = 1.0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        result[k] = <a class="code" href="namespacestan_1_1math.html#aa41d355d768c2258bf999bc765382f27">binomial_rng</a>(n_left, p, rng);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        n_left -= result[k];</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        mass_left -= theta[k];</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    }</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  }</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;}</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__simplex_8hpp_html"><div class="ttname"><a href="check__simplex_8hpp.html">check_simplex.hpp</a></div></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a99ab77cc7ea8b9f49a61abe7576c8331"><div class="ttname"><a href="namespacestan_1_1math.html#a99ab77cc7ea8b9f49a61abe7576c8331">stan::math::multinomial_rng</a></div><div class="ttdeci">std::vector&lt; int &gt; multinomial_rng(const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;theta, const int N, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="multinomial__rng_8hpp_source.html#l00023">multinomial_rng.hpp:23</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6affd19d4999c427291a2bbb07bce304"><div class="ttname"><a href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math::check_simplex</a></div><div class="ttdeci">bool check_simplex(const char *function, const char *name, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</div><div class="ttdoc">Return true if the specified vector is simplex. </div><div class="ttdef"><b>Definition:</b> <a href="check__simplex_8hpp_source.html#l00041">check_simplex.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa41d355d768c2258bf999bc765382f27"><div class="ttname"><a href="namespacestan_1_1math.html#aa41d355d768c2258bf999bc765382f27">stan::math::binomial_rng</a></div><div class="ttdeci">int binomial_rng(const int N, const double theta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="binomial__rng_8hpp_source.html#l00030">binomial_rng.hpp:30</a></div></div>
+<div class="ttc" id="binomial__rng_8hpp_html"><div class="ttname"><a href="binomial__rng_8hpp.html">binomial_rng.hpp</a></div></div>
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+  <div class="headertitle">
+<div class="title">Eigen Namespace Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>(Expert) Numerical traits for algorithmic differentiation variables.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>(Expert) Numerical traits for algorithmic differentiation variables. </p>
+</div></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+<div class="header">
+  <div class="summary">
+<a href="#nested-classes">Classes</a>  </div>
+  <div class="headertitle">
+<div class="title">Eigen::internal Namespace Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>(Expert) Product traits for algorithmic differentiation variables.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html">general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html">scalar_product_traits&lt; double, stan::math::var &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html">scalar_product_traits&lt; stan::math::var, double &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html">significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Implemented this for printing to stream.  <a href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>(Expert) Product traits for algorithmic differentiation variables. </p>
+</div></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespaceboost_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespaceboost_1_1math.html">math</a></td></tr>
+<tr class="memdesc:namespaceboost_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reimplmeneting boost functionality for <code><a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a></code> and and bugs in classification of integer types. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Reimplementing boost functionality. </p>
+</div></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
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+<div class="title">boost::math Namespace Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Reimplmeneting boost functionality for <code><a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a></code> and and bugs in classification of integer types.  
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:addcd4cb377863a7bb79a82dc82de96e1"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
+<tr class="memitem:addcd4cb377863a7bb79a82dc82de96e1"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceboost_1_1math.html#addcd4cb377863a7bb79a82dc82de96e1">fpclassify</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;v)</td></tr>
+<tr class="memdesc:addcd4cb377863a7bb79a82dc82de96e1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Categorizes the given <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> value.  <a href="#addcd4cb377863a7bb79a82dc82de96e1">More...</a><br /></td></tr>
+<tr class="separator:addcd4cb377863a7bb79a82dc82de96e1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a99b3c9ca2565e57981ac77d110c0f26d"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
+<tr class="memitem:a99b3c9ca2565e57981ac77d110c0f26d"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceboost_1_1math.html#a99b3c9ca2565e57981ac77d110c0f26d">isfinite</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;v)</td></tr>
+<tr class="memdesc:a99b3c9ca2565e57981ac77d110c0f26d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if the given number has finite value.  <a href="#a99b3c9ca2565e57981ac77d110c0f26d">More...</a><br /></td></tr>
+<tr class="separator:a99b3c9ca2565e57981ac77d110c0f26d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3d7d6e376e25db9cff72f82ca4c3e684"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
+<tr class="memitem:a3d7d6e376e25db9cff72f82ca4c3e684"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">isinf</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;v)</td></tr>
+<tr class="memdesc:a3d7d6e376e25db9cff72f82ca4c3e684"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if the given number is infinite.  <a href="#a3d7d6e376e25db9cff72f82ca4c3e684">More...</a><br /></td></tr>
+<tr class="separator:a3d7d6e376e25db9cff72f82ca4c3e684"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9ec9f6ad1870e35178068fd12a0d04ea"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
+<tr class="memitem:a9ec9f6ad1870e35178068fd12a0d04ea"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">isnan</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;v)</td></tr>
+<tr class="memdesc:a9ec9f6ad1870e35178068fd12a0d04ea"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if the given number is NaN.  <a href="#a9ec9f6ad1870e35178068fd12a0d04ea">More...</a><br /></td></tr>
+<tr class="separator:a9ec9f6ad1870e35178068fd12a0d04ea"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa0100dc26ee826099c1d04ddc6cf3c89"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
+<tr class="memitem:aa0100dc26ee826099c1d04ddc6cf3c89"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespaceboost_1_1math.html#aa0100dc26ee826099c1d04ddc6cf3c89">isnormal</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;v)</td></tr>
+<tr class="memdesc:aa0100dc26ee826099c1d04ddc6cf3c89"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if the given number is normal.  <a href="#aa0100dc26ee826099c1d04ddc6cf3c89">More...</a><br /></td></tr>
+<tr class="separator:aa0100dc26ee826099c1d04ddc6cf3c89"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Reimplmeneting boost functionality for <code><a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a></code> and and bugs in classification of integer types. </p>
+<p>FIXME: remove when BOOST fixes <a class="el" href="namespaceboost_1_1math.html#a99b3c9ca2565e57981ac77d110c0f26d" title="Checks if the given number has finite value. ">isfinite()</a>. See ticket #6517. (Boost 1.48.0) <a href="https://svn.boost.org/trac/boost/ticket/6517">https://svn.boost.org/trac/boost/ticket/6517</a> </p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="addcd4cb377863a7bb79a82dc82de96e1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int boost::math::fpclassify </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Categorizes the given <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> value. </p>
+<p>Categorizes the <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> value, v, into the following categories: zero, subnormal, normal, infinite, or NAN.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Variable to classify. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>One of <code>FP_ZERO</code>, <code>FP_NORMAL</code>, <code>FP_FINITE</code>, <code>FP_INFINITE</code>, <code>FP_NAN</code>, or <code>FP_SUBZERO</code>, specifying the category of v. </dd></dl>
+
+<p>Definition at line <a class="el" href="boost__fpclassify_8hpp_source.html#l00024">24</a> of file <a class="el" href="boost__fpclassify_8hpp_source.html">boost_fpclassify.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a99b3c9ca2565e57981ac77d110c0f26d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool boost::math::isfinite </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Checks if the given number has finite value. </p>
+<p>Return <code>true</code> if the specified variable's value is finite.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Variable to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if variable is finite. </dd></dl>
+
+<p>Definition at line <a class="el" href="boost__isfinite_8hpp_source.html#l00022">22</a> of file <a class="el" href="boost__isfinite_8hpp_source.html">boost_isfinite.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3d7d6e376e25db9cff72f82ca4c3e684"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool boost::math::isinf </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Checks if the given number is infinite. </p>
+<p>Return <code>true</code> if the specified variable's value is infinite.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Variable to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if variable is infinite. </dd></dl>
+
+<p>Definition at line <a class="el" href="boost__isinf_8hpp_source.html#l00022">22</a> of file <a class="el" href="boost__isinf_8hpp_source.html">boost_isinf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9ec9f6ad1870e35178068fd12a0d04ea"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool boost::math::isnan </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Checks if the given number is NaN. </p>
+<p>Return <code>true</code> if the specified variable has a value that is NaN.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Variable to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if variable is NaN. </dd></dl>
+
+<p>Definition at line <a class="el" href="boost__isnan_8hpp_source.html#l00022">22</a> of file <a class="el" href="boost__isnan_8hpp_source.html">boost_isnan.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa0100dc26ee826099c1d04ddc6cf3c89"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool boost::math::isnormal </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Checks if the given number is normal. </p>
+<p>Return <code>true</code> if the specified variable has a value that is normal.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Variable to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if variable is normal. </dd></dl>
+
+<p>Definition at line <a class="el" href="boost__isnormal_8hpp_source.html#l00022">22</a> of file <a class="el" href="boost__isnormal_8hpp_source.html">boost_isnormal.hpp</a>.</p>
+
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+<hr/>
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+  Stan Development Team.
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <div id="navrow4" class="tabs3">
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+      <li class="current"><a href="namespacemembers.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_m.html#index_m"><span>m</span></a></li>
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+      <li><a href="namespacemembers_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
+<li>abs()
+: <a class="el" href="namespacestan_1_1math.html#ae560b842e3ed6e5939dc2177bf158265">stan::math</a>
+</li>
+<li>acos()
+: <a class="el" href="namespacestan_1_1math.html#a6952d8c23d69dc891dbe78e7d4ea7a80">stan::math</a>
+</li>
+<li>acosh()
+: <a class="el" href="namespacestan_1_1math.html#ae033720f1a26c44aa9d7fb4dcf547155">stan::math</a>
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+<li>add()
+: <a class="el" href="namespacestan_1_1math.html#ab7092cc09ee412719d685be41a04982a">stan::math</a>
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+<li>add_initial_values()
+: <a class="el" href="namespacestan_1_1math.html#a1a238bf34fdfe67aa84300d9822f34be">stan::math</a>
+</li>
+<li>append_col()
+: <a class="el" href="namespacestan_1_1math.html#a7109247897a8a5530d481b3219eab226">stan::math</a>
+</li>
+<li>append_row()
+: <a class="el" href="namespacestan_1_1math.html#aed867c5cdbb34fe1c10ad212665c8611">stan::math</a>
+</li>
+<li>as_bool()
+: <a class="el" href="namespacestan_1_1math.html#a3ec93b560b654740be65de81d6f348cc">stan::math</a>
+</li>
+<li>asin()
+: <a class="el" href="namespacestan_1_1math.html#ab710bf940838cc452c426597f55f74dc">stan::math</a>
+</li>
+<li>asinh()
+: <a class="el" href="namespacestan_1_1math.html#a68af8aec6bd04b4d40e5bce59f82b97c">stan::math</a>
+</li>
+<li>assign()
+: <a class="el" href="namespacestan_1_1math.html#a0a80c719463c4e3caa03df731e2c2cb9">stan::math</a>
+</li>
+<li>atan()
+: <a class="el" href="namespacestan_1_1math.html#a85cb80cff5115679c25d7347ffa89c81">stan::math</a>
+</li>
+<li>atan2()
+: <a class="el" href="namespacestan_1_1math.html#aee48dfb63f75612a566b876f59d4a8df">stan::math</a>
+</li>
+<li>atanh()
+: <a class="el" href="namespacestan_1_1math.html#a9cbf81b5222fb11c01b539fab0434bdd">stan::math</a>
+</li>
+<li>autocorrelation()
+: <a class="el" href="namespacestan_1_1math.html#afd7c65ea100e48abc72f3c1e96fcdbe9">stan::math</a>
+</li>
+<li>autocovariance()
+: <a class="el" href="namespacestan_1_1math.html#acdfe56505f9cbe96a18fc00f76fe79fd">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/namespacemembers_b.html b/doc/api/html/namespacemembers_b.html
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+  $(document).ready(function() { init_search(); });
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+</table>
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+<!-- end header part -->
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
+      <li class="current"><a href="namespacemembers.html"><span>Namespace&#160;Members</span></a></li>
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+  <div id="navrow3" class="tabs2">
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+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
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+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="namespacemembers.html#index_a"><span>a</span></a></li>
+      <li class="current"><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_m.html#index_m"><span>m</span></a></li>
+      <li><a href="namespacemembers_n.html#index_n"><span>n</span></a></li>
+      <li><a href="namespacemembers_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
+<li>bernoulli_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a9d8811804a3bb9a9cd943422ce3938db">stan::math</a>
+</li>
+<li>bernoulli_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a0b80aeaa1cc10d315d915aba2ddc6180">stan::math</a>
+</li>
+<li>bernoulli_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ac569e9e067f4d61280974e9a54ac6476">stan::math</a>
+</li>
+<li>bernoulli_log()
+: <a class="el" href="namespacestan_1_1math.html#a3e360bb277db7a3318c1c368dbccdda8">stan::math</a>
+</li>
+<li>bernoulli_logit_log()
+: <a class="el" href="namespacestan_1_1math.html#aa9048a0a4bd452c7e797cb5a496b0b97">stan::math</a>
+</li>
+<li>bernoulli_rng()
+: <a class="el" href="namespacestan_1_1math.html#ac46d3934578fb7346a900677a3e8c377">stan::math</a>
+</li>
+<li>bessel_first_kind()
+: <a class="el" href="namespacestan_1_1math.html#a0f08e25e46df323a2429edc45d1c8954">stan::math</a>
+</li>
+<li>bessel_second_kind()
+: <a class="el" href="namespacestan_1_1math.html#ab0b227eac2dd4cbc55462ecebe940294">stan::math</a>
+</li>
+<li>beta_binomial_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ab380fecf1c6c99b602f212cbccc28a83">stan::math</a>
+</li>
+<li>beta_binomial_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a6abc35510e01a52b5138a19bfedb2a3e">stan::math</a>
+</li>
+<li>beta_binomial_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#adf2c63ba04c87c46bcb0db999d955e9b">stan::math</a>
+</li>
+<li>beta_binomial_log()
+: <a class="el" href="namespacestan_1_1math.html#a5c2462b112bf6512c4db7c6abea6478c">stan::math</a>
+</li>
+<li>beta_binomial_rng()
+: <a class="el" href="namespacestan_1_1math.html#ac0443ac7dbd959b40b1a958767857f5e">stan::math</a>
+</li>
+<li>beta_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a625d31cf8da1c8cd2ea99af113ed6fe6">stan::math</a>
+</li>
+<li>beta_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a84beaaff122d602406a515a9dd97bb90">stan::math</a>
+</li>
+<li>beta_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#afa87400b4ecd4bba0d10158cad4f3a8b">stan::math</a>
+</li>
+<li>beta_log()
+: <a class="el" href="namespacestan_1_1math.html#a0246a55c1c14d2c7ec35a0070af63299">stan::math</a>
+</li>
+<li>beta_rng()
+: <a class="el" href="namespacestan_1_1math.html#a7fa2015614535f45c2cb6d5f544643d0">stan::math</a>
+</li>
+<li>binary_log_loss()
+: <a class="el" href="namespacestan_1_1math.html#ae0d069b5730083b0203812d63c6f62f3">stan::math</a>
+</li>
+<li>binomial_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a92586706a7afc2c968e0c11a9a021f8a">stan::math</a>
+</li>
+<li>binomial_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a25ca53e4f20460de16af84337acba3f0">stan::math</a>
+</li>
+<li>binomial_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a96b0617f8ad60887c84b0cd91ebe202e">stan::math</a>
+</li>
+<li>binomial_coefficient_log()
+: <a class="el" href="namespacestan_1_1math.html#a113b2443c22c0859cc797b7c1bdea59f">stan::math</a>
+</li>
+<li>binomial_log()
+: <a class="el" href="namespacestan_1_1math.html#a9de035dd17c118b3144a9ed9c867378f">stan::math</a>
+</li>
+<li>binomial_logit_log()
+: <a class="el" href="namespacestan_1_1math.html#a5378254419361dd7a0bfacf139b49401">stan::math</a>
+</li>
+<li>binomial_rng()
+: <a class="el" href="namespacestan_1_1math.html#aa41d355d768c2258bf999bc765382f27">stan::math</a>
+</li>
+<li>block()
+: <a class="el" href="namespacestan_1_1math.html#a69be3cf865daa6eca4a859f97ffaa8f7">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="dynsections.js"></script>
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+<li>calculate_chain()
+: <a class="el" href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">stan::math</a>
+</li>
+<li>categorical_log()
+: <a class="el" href="namespacestan_1_1math.html#a583ce356e75d8d7be0126bb00c401afa">stan::math</a>
+</li>
+<li>categorical_logit_log()
+: <a class="el" href="namespacestan_1_1math.html#ac06f8075869ffd32c8a0385e57bc2170">stan::math</a>
+</li>
+<li>categorical_rng()
+: <a class="el" href="namespacestan_1_1math.html#a1f8b55cdaa59f3fe7718d5b45889cda6">stan::math</a>
+</li>
+<li>cauchy_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#aa932af729313abe32571d8a3742385ed">stan::math</a>
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+<li>cauchy_cdf()
+: <a class="el" href="namespacestan_1_1math.html#ab7ecad949e8b175b4b60f6f5cb16319b">stan::math</a>
+</li>
+<li>cauchy_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a689566206e25e90e590c2655d3b49032">stan::math</a>
+</li>
+<li>cauchy_log()
+: <a class="el" href="namespacestan_1_1math.html#a57b702de583e1883c8abd5b2fbba4b0d">stan::math</a>
+</li>
+<li>cauchy_rng()
+: <a class="el" href="namespacestan_1_1math.html#ab9ddbccee3c214e6fc88f297b6524d0b">stan::math</a>
+</li>
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+: <a class="el" href="namespacestan_1_1math.html#a64c0dfe5862fc53f1a18d76f14a1dc7e">stan::math</a>
+</li>
+<li>ceil()
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+</li>
+<li>ChainableStack
+: <a class="el" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">stan::math</a>
+</li>
+<li>check_bounded()
+: <a class="el" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math</a>
+</li>
+<li>check_cholesky_factor()
+: <a class="el" href="namespacestan_1_1math.html#a6a07026df8b25226da59ac45f8e679c9">stan::math</a>
+</li>
+<li>check_cholesky_factor_corr()
+: <a class="el" href="namespacestan_1_1math.html#aa2df70fec3388f7969c873e6aa071b7e">stan::math</a>
+</li>
+<li>check_column_index()
+: <a class="el" href="namespacestan_1_1math.html#a16b0a60f741f97efac53254839f24ff8">stan::math</a>
+</li>
+<li>check_consistent_size()
+: <a class="el" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">stan::math</a>
+</li>
+<li>check_consistent_sizes()
+: <a class="el" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math</a>
+</li>
+<li>check_corr_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a4f56159e67a4047107cc552702abaa6c">stan::math</a>
+</li>
+<li>check_cov_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a6e298b7563329829cb79930a121223b1">stan::math</a>
+</li>
+<li>check_equal()
+: <a class="el" href="namespacestan_1_1math.html#a1d8cfae284cdae1bb7e83d2a136f9a04">stan::math</a>
+</li>
+<li>check_finite()
+: <a class="el" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math</a>
+</li>
+<li>check_greater()
+: <a class="el" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math</a>
+</li>
+<li>check_greater_or_equal()
+: <a class="el" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math</a>
+</li>
+<li>check_ldlt_factor()
+: <a class="el" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math</a>
+</li>
+<li>check_less()
+: <a class="el" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math</a>
+</li>
+<li>check_less_or_equal()
+: <a class="el" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math</a>
+</li>
+<li>check_lower_triangular()
+: <a class="el" href="namespacestan_1_1math.html#acd07dd6b395becbbd349814c0e55c0d9">stan::math</a>
+</li>
+<li>check_matching_dims()
+: <a class="el" href="namespacestan_1_1math.html#aa1149504bbf29d464f23508ca5eccc0a">stan::math</a>
+</li>
+<li>check_matching_sizes()
+: <a class="el" href="namespacestan_1_1math.html#a52ba893fcf6fc650e992c13d41fbc3ae">stan::math</a>
+</li>
+<li>check_multiplicable()
+: <a class="el" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math</a>
+</li>
+<li>check_nonnegative()
+: <a class="el" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math</a>
+</li>
+<li>check_nonzero_size()
+: <a class="el" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math</a>
+</li>
+<li>check_not_nan()
+: <a class="el" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math</a>
+</li>
+<li>check_ordered()
+: <a class="el" href="namespacestan_1_1math.html#af55e7669a804e68bc9d39ecd06318b23">stan::math</a>
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+</li>
+<li>check_pos_semidefinite()
+: <a class="el" href="namespacestan_1_1math.html#a02cfec85c227ec8307c522c00df02928">stan::math</a>
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+<li>check_positive()
+: <a class="el" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math</a>
+</li>
+<li>check_positive_ordered()
+: <a class="el" href="namespacestan_1_1math.html#a87f00a8c0f07c5a82145a14712437673">stan::math</a>
+</li>
+<li>check_positive_size()
+: <a class="el" href="namespacestan_1_1math.html#ac6fe1398a136f3dc36d246a2ea747500">stan::math</a>
+</li>
+<li>check_range()
+: <a class="el" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">stan::math</a>
+</li>
+<li>check_row_index()
+: <a class="el" href="namespacestan_1_1math.html#acb080867499e68f688b0dcb5c8f4e061">stan::math</a>
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+<li>check_simplex()
+: <a class="el" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math</a>
+</li>
+<li>check_size_match()
+: <a class="el" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math</a>
+</li>
+<li>check_spsd_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a7f80d208c430ed463474147d0e3ec3ce">stan::math</a>
+</li>
+<li>check_square()
+: <a class="el" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math</a>
+</li>
+<li>check_std_vector_index()
+: <a class="el" href="namespacestan_1_1math.html#a7ed873db07e833c14413c319a5bb9837">stan::math</a>
+</li>
+<li>check_symmetric()
+: <a class="el" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math</a>
+</li>
+<li>check_unit_vector()
+: <a class="el" href="namespacestan_1_1math.html#abde0b7cf68eab53d00c041fec244c735">stan::math</a>
+</li>
+<li>check_vector()
+: <a class="el" href="namespacestan_1_1math.html#a5b78e5ddf65db13aaa65a6c58205fbf2">stan::math</a>
+</li>
+<li>chi_square_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#af270a4206e4a52396b386b54c9a58ae9">stan::math</a>
+</li>
+<li>chi_square_cdf()
+: <a class="el" href="namespacestan_1_1math.html#aa196f552535f61f4b2bd088da74cc142">stan::math</a>
+</li>
+<li>chi_square_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#acbf0413c908e37c44c24ad81f99aa77f">stan::math</a>
+</li>
+<li>chi_square_log()
+: <a class="el" href="namespacestan_1_1math.html#a8a1c945dce01a8a4b4485b7c5bb258ba">stan::math</a>
+</li>
+<li>chi_square_rng()
+: <a class="el" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">stan::math</a>
+</li>
+<li>cholesky_corr_constrain()
+: <a class="el" href="namespacestan_1_1math.html#ab9d24004ec984f89b342414ff6312d0a">stan::math</a>
+</li>
+<li>cholesky_corr_free()
+: <a class="el" href="namespacestan_1_1math.html#aeed4fbb1adce01dfc445cae326e4c482">stan::math</a>
+</li>
+<li>cholesky_decompose()
+: <a class="el" href="namespacestan_1_1math.html#af8e46af32d475d13fb882b6ae58051de">stan::math</a>
+</li>
+<li>cholesky_factor_constrain()
+: <a class="el" href="namespacestan_1_1math.html#ae2be4ed6bbf19487de29cfc85718ed3b">stan::math</a>
+</li>
+<li>cholesky_factor_free()
+: <a class="el" href="namespacestan_1_1math.html#ad9d45c92d30d1120cfa4b71a766e1712">stan::math</a>
+</li>
+<li>col()
+: <a class="el" href="namespacestan_1_1math.html#a3d822499055d9eefe6cd543ad06e1d3b">stan::math</a>
+</li>
+<li>cols()
+: <a class="el" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">stan::math</a>
+</li>
+<li>columns_dot_product()
+: <a class="el" href="namespacestan_1_1math.html#a09f7ba0991c234a715af5b4968a28014">stan::math</a>
+</li>
+<li>columns_dot_self()
+: <a class="el" href="namespacestan_1_1math.html#a3663d900f7f0bdd57e808301ff142ee1">stan::math</a>
+</li>
+<li>CONSTRAINT_TOLERANCE
+: <a class="el" href="namespacestan_1_1math.html#aece739c5a2672028f0c7848045b89f08">stan::math</a>
+</li>
+<li>corr_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">stan::math</a>
+</li>
+<li>corr_free()
+: <a class="el" href="namespacestan_1_1math.html#a9322e1f1baeb5a192c4972dbec311b4e">stan::math</a>
+</li>
+<li>corr_matrix_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a8321b61db6a84b5d9041777643d53550">stan::math</a>
+</li>
+<li>corr_matrix_free()
+: <a class="el" href="namespacestan_1_1math.html#a34f63590ae0c736b6113d578d0899da1">stan::math</a>
+</li>
+<li>cos()
+: <a class="el" href="namespacestan_1_1math.html#a0f3ac00ed58d998daed7f4d97195e967">stan::math</a>
+</li>
+<li>cosh()
+: <a class="el" href="namespacestan_1_1math.html#ab2a43fcaf01cfef4c73074e77390a205">stan::math</a>
+</li>
+<li>cov_matrix_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a417c6032fe62186f7c8fb5452e4173d8">stan::math</a>
+</li>
+<li>cov_matrix_constrain_lkj()
+: <a class="el" href="namespacestan_1_1math.html#a6e398c69a5845680ca945fa9ec6ec401">stan::math</a>
+</li>
+<li>cov_matrix_free()
+: <a class="el" href="namespacestan_1_1math.html#a485d3c2cd12e516bb13a1d48f9a43386">stan::math</a>
+</li>
+<li>cov_matrix_free_lkj()
+: <a class="el" href="namespacestan_1_1math.html#a9021324082d4241367fdd17da025a32d">stan::math</a>
+</li>
+<li>crossprod()
+: <a class="el" href="namespacestan_1_1math.html#abd303ef11dc0c73cda2f743a3b67fbf1">stan::math</a>
+</li>
+<li>csr_extract_u()
+: <a class="el" href="group__csr__format.html#ga221b0a757cf0703a929342d2b4cea763">stan::math</a>
+</li>
+<li>csr_extract_v()
+: <a class="el" href="group__csr__format.html#ga01e6e2504c5eb6d0b289aa51172cd729">stan::math</a>
+</li>
+<li>csr_extract_w()
+: <a class="el" href="group__csr__format.html#gae45bfd671760b4f442d272456b2ae01c">stan::math</a>
+</li>
+<li>csr_matrix_times_vector()
+: <a class="el" href="namespacestan_1_1math.html#a9e045cbd4b736cc0cf57025b1d8f72fe">stan::math</a>
+</li>
+<li>csr_to_dense_matrix()
+: <a class="el" href="group__csr__format.html#gab28ee38f5eb51242d9c9280202baff5f">stan::math</a>
+</li>
+<li>csr_u_to_z()
+: <a class="el" href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">stan::math</a>
+</li>
+<li>cumulative_sum()
+: <a class="el" href="namespacestan_1_1math.html#a7340f6be8ae1e121c6d854005560fef5">stan::math</a>
+</li>
+<li>cvodes_check_flag()
+: <a class="el" href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">stan::math</a>
+</li>
+<li>cvodes_set_options()
+: <a class="el" href="namespacestan_1_1math.html#a04f90e73bf6b6aee8376e29eca277527">stan::math</a>
+</li>
+<li>cvodes_silent_err_handler()
+: <a class="el" href="namespacestan_1_1math.html#a6214fcce7dba5e79a0acb0dc6180c06e">stan::math</a>
+</li>
+</ul>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </span>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+    <ul class="tablist">
+      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
+      <li class="current"><a href="namespacemembers.html"><span>Namespace&#160;Members</span></a></li>
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+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="namespacemembers.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li class="current"><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_m.html#index_m"><span>m</span></a></li>
+      <li><a href="namespacemembers_n.html#index_n"><span>n</span></a></li>
+      <li><a href="namespacemembers_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_d"></a>- d -</h3><ul>
+<li>decouple_ode_states()
+: <a class="el" href="namespacestan_1_1math.html#a07efa0f5060e1cbb91ac02a3936b4a1f">stan::math</a>
+</li>
+<li>derivative()
+: <a class="el" href="namespacestan_1_1math.html#a0597dca74b96a4287c6f848489288d44">stan::math</a>
+</li>
+<li>determinant()
+: <a class="el" href="namespacestan_1_1math.html#a63ab2582fc9a5a31d3d4f38a6420174e">stan::math</a>
+</li>
+<li>diag_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a8174ad2b40453c1bfcbdf59bf76e030d">stan::math</a>
+</li>
+<li>diag_post_multiply()
+: <a class="el" href="namespacestan_1_1math.html#ada475ab6293a9b7e5d3e6c1f92315008">stan::math</a>
+</li>
+<li>diag_pre_multiply()
+: <a class="el" href="namespacestan_1_1math.html#a97acdd27ef5fca2cd111010f6fccf6b8">stan::math</a>
+</li>
+<li>diagonal()
+: <a class="el" href="namespacestan_1_1math.html#a2e96160f66cf84ab9a4bae027645e5a5">stan::math</a>
+</li>
+<li>digamma()
+: <a class="el" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math</a>
+</li>
+<li>dims()
+: <a class="el" href="namespacestan_1_1math.html#a467589eef4220a87d457c8a268a1fd5d">stan::math</a>
+</li>
+<li>dirichlet_log()
+: <a class="el" href="namespacestan_1_1math.html#a301c4fce1eeb151070f72a81c33ccde4">stan::math</a>
+</li>
+<li>dirichlet_rng()
+: <a class="el" href="namespacestan_1_1math.html#acb288324f889b7da57f2960570f459ea">stan::math</a>
+</li>
+<li>dist()
+: <a class="el" href="namespacestan_1_1math.html#ae86020a972c6efc6b3407c3cfc30f4a6">stan::math</a>
+</li>
+<li>distance()
+: <a class="el" href="namespacestan_1_1math.html#acc0a62287bdf0c0420386fccc0a13ca9">stan::math</a>
+</li>
+<li>divide()
+: <a class="el" href="namespacestan_1_1math.html#ab1f35909d12ac43b74d180a49d68b674">stan::math</a>
+</li>
+<li>do_lkj_constant()
+: <a class="el" href="namespacestan_1_1math.html#a3832e36ec9ea72ce740753adb3b0d132">stan::math</a>
+</li>
+<li>domain_error()
+: <a class="el" href="namespacestan_1_1math.html#a108d489a4a749c8e429b519d9e26c157">stan::math</a>
+</li>
+<li>domain_error_vec()
+: <a class="el" href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">stan::math</a>
+</li>
+<li>dot()
+: <a class="el" href="namespacestan_1_1math.html#afd3b73319bd8df9dad1d3902997d8e89">stan::math</a>
+</li>
+<li>dot_product()
+: <a class="el" href="namespacestan_1_1math.html#a590dde9498d871fff74858d1f7ef2667">stan::math</a>
+</li>
+<li>dot_self()
+: <a class="el" href="namespacestan_1_1math.html#a8a6a4ef7c701db7984297d153580c8d4">stan::math</a>
+</li>
+<li>double_exponential_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ab670b33f7d9f8cd15406cce67ffbe2c9">stan::math</a>
+</li>
+<li>double_exponential_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a658493a49a4e83ac55393a5d43c47ba7">stan::math</a>
+</li>
+<li>double_exponential_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#aa71f7d99df6f1817ad1badc771e30a5e">stan::math</a>
+</li>
+<li>double_exponential_log()
+: <a class="el" href="namespacestan_1_1math.html#ac96b2758687c3d1eab564e67d18f8922">stan::math</a>
+</li>
+<li>double_exponential_rng()
+: <a class="el" href="namespacestan_1_1math.html#aa6ebff3092eb40851fa1f63b7b7196f8">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </span>
+</div>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="dynsections.js"></script>
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+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
+      <li class="current"><a href="namespacemembers.html"><span>Namespace&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="namespacemembers.html"><span>All</span></a></li>
+      <li><a href="namespacemembers_func.html"><span>Functions</span></a></li>
+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="namespacemembers.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li class="current"><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_m.html#index_m"><span>m</span></a></li>
+      <li><a href="namespacemembers_n.html#index_n"><span>n</span></a></li>
+      <li><a href="namespacemembers_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_e"></a>- e -</h3><ul>
+<li>e()
+: <a class="el" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math</a>
+</li>
+<li>E
+: <a class="el" href="namespacestan_1_1math.html#a66f94e47c6dc073bbd3929903b4431fe">stan::math</a>
+</li>
+<li>eigenvalues_sym()
+: <a class="el" href="namespacestan_1_1math.html#a2e454ec91241f2f6e70aa05e7b7698ff">stan::math</a>
+</li>
+<li>eigenvectors_sym()
+: <a class="el" href="namespacestan_1_1math.html#a9fd77067fef0a78dd5d8f9527969631e">stan::math</a>
+</li>
+<li>elt_divide()
+: <a class="el" href="namespacestan_1_1math.html#a75c3cc187f569c795118c72bcc1e5c58">stan::math</a>
+</li>
+<li>elt_multiply()
+: <a class="el" href="namespacestan_1_1math.html#a2edc3d65b32928692984bd66a1b3bb56">stan::math</a>
+</li>
+<li>empty_nested()
+: <a class="el" href="namespacestan_1_1math.html#a430f171295b91277dc60dfa2177c7c0b">stan::math</a>
+</li>
+<li>EPSILON
+: <a class="el" href="namespacestan_1_1math.html#a5ffd625c2083751d7ccabb7dbe39cbe0">stan::math</a>
+</li>
+<li>erf()
+: <a class="el" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math</a>
+</li>
+<li>erfc()
+: <a class="el" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">stan::math</a>
+</li>
+<li>exp()
+: <a class="el" href="namespacestan_1_1math.html#a7ad4663394747a548b42f8cbe9def1f7">stan::math</a>
+</li>
+<li>exp2()
+: <a class="el" href="namespacestan_1_1math.html#a8c3a577694c8f584e56160580fe0821b">stan::math</a>
+</li>
+<li>exp_mod_normal_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a497ff815eeadaffe3204d33359c4be82">stan::math</a>
+</li>
+<li>exp_mod_normal_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a2b29301645f48dedc57b97409062250c">stan::math</a>
+</li>
+<li>exp_mod_normal_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ad0e32ac964461952d77df48cd30c6f1d">stan::math</a>
+</li>
+<li>exp_mod_normal_log()
+: <a class="el" href="namespacestan_1_1math.html#a50a3cd94db2760437551ea466247cf8e">stan::math</a>
+</li>
+<li>exp_mod_normal_rng()
+: <a class="el" href="namespacestan_1_1math.html#a40d3c6fbf610e2c0e997a039f2ed98e8">stan::math</a>
+</li>
+<li>expm1()
+: <a class="el" href="namespacestan_1_1math.html#a8c632ff37556a4989fb351042da3a05a">stan::math</a>
+</li>
+<li>exponential_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a42c92f31b24600c6ce05b4f21f54fb00">stan::math</a>
+</li>
+<li>exponential_cdf()
+: <a class="el" href="namespacestan_1_1math.html#ac753dcf58b69f0bbf7b001bfe19a3e44">stan::math</a>
+</li>
+<li>exponential_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a8fbf986074ea063853c8d244c3c17e0f">stan::math</a>
+</li>
+<li>exponential_log()
+: <a class="el" href="namespacestan_1_1math.html#af3653c4e36237f4d7403af9f64abbcd2">stan::math</a>
+</li>
+<li>exponential_rng()
+: <a class="el" href="namespacestan_1_1math.html#a6cfcce609912c9a6e1b2fad1e5055a1d">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
+      <li class="current"><a href="namespacemembers.html"><span>Namespace&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
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+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="namespacemembers.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li class="current"><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_m.html#index_m"><span>m</span></a></li>
+      <li><a href="namespacemembers_n.html#index_n"><span>n</span></a></li>
+      <li><a href="namespacemembers_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
+<li>F32()
+: <a class="el" href="namespacestan_1_1math.html#ada2421cf831c518a6260f60d19eb5c32">stan::math</a>
+</li>
+<li>fabs()
+: <a class="el" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">stan::math</a>
+</li>
+<li>factor_cov_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a9d6ef71b2e1a2a216a031d8403458bdd">stan::math</a>
+</li>
+<li>factor_U()
+: <a class="el" href="namespacestan_1_1math.html#aa6d09763679360f53f07ae20e8efc262">stan::math</a>
+</li>
+<li>falling_factorial()
+: <a class="el" href="namespacestan_1_1math.html#a5a3c08d051a8e4bc83c6ad9132af4099">stan::math</a>
+</li>
+<li>fdim()
+: <a class="el" href="namespacestan_1_1math.html#a7d2db622c0f83134b7f3ebd1eec3c1d6">stan::math</a>
+</li>
+<li>fill()
+: <a class="el" href="namespacestan_1_1math.html#aa7f5d81c4d45f2407096def8810ffe00">stan::math</a>
+</li>
+<li>finite_diff_grad_hessian()
+: <a class="el" href="namespacestan_1_1math.html#a138f3242eba971c17756586ace2c15d3">stan::math</a>
+</li>
+<li>finite_diff_gradient()
+: <a class="el" href="namespacestan_1_1math.html#ab34b9d54bbdc2b13f358a73a3dface45">stan::math</a>
+</li>
+<li>finite_diff_hess_helper()
+: <a class="el" href="namespacestan_1_1math.html#a9cfae14a02b57bee53b454f64b58c0b1">stan::math</a>
+</li>
+<li>finite_diff_hessian()
+: <a class="el" href="namespacestan_1_1math.html#a8b6ed64f691a457cb6691d7b478b4a1d">stan::math</a>
+</li>
+<li>floor()
+: <a class="el" href="namespacestan_1_1math.html#a16e5a2666b377e37fe807765ba5f6aaf">stan::math</a>
+</li>
+<li>fma()
+: <a class="el" href="namespacestan_1_1math.html#a1e283e1daef5282717309ddb1302d5dc">stan::math</a>
+</li>
+<li>fmax()
+: <a class="el" href="namespacestan_1_1math.html#a5e72a34aed1af28919d940399a07c3d0">stan::math</a>
+</li>
+<li>fmin()
+: <a class="el" href="namespacestan_1_1math.html#af78692904b139471b470740ce866468e">stan::math</a>
+</li>
+<li>fmod()
+: <a class="el" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">stan::math</a>
+</li>
+<li>fpclassify()
+: <a class="el" href="namespaceboost_1_1math.html#addcd4cb377863a7bb79a82dc82de96e1">boost::math</a>
+</li>
+<li>frechet_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a34680a4c6abd1d998326e44a212aa6d8">stan::math</a>
+</li>
+<li>frechet_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a252058aec5645d61efd61e155b788be7">stan::math</a>
+</li>
+<li>frechet_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#aad1ba53b1f236710eed4f8377dc06471">stan::math</a>
+</li>
+<li>frechet_log()
+: <a class="el" href="namespacestan_1_1math.html#a17f910a5107250d4b47468fe1e7487cc">stan::math</a>
+</li>
+<li>frechet_rng()
+: <a class="el" href="namespacestan_1_1math.html#a85bd113906fdeaf57e662a598ad99689">stan::math</a>
+</li>
+<li>free_cvodes_memory()
+: <a class="el" href="namespacestan_1_1math.html#a77292bb0c64aa3243c86437cae645ea2">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="dynsections.js"></script>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
+      <li class="current"><a href="namespacemembers.html"><span>Namespace&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespacemembers.html"><span>All</span></a></li>
+      <li class="current"><a href="namespacemembers_func.html"><span>Functions</span></a></li>
+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li class="current"><a href="namespacemembers_func.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="namespacemembers_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="namespacemembers_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_func_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_func_w.html#index_w"><span>w</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_a"></a>- a -</h3><ul>
+<li>abs()
+: <a class="el" href="namespacestan_1_1math.html#ae560b842e3ed6e5939dc2177bf158265">stan::math</a>
+</li>
+<li>acos()
+: <a class="el" href="namespacestan_1_1math.html#a6952d8c23d69dc891dbe78e7d4ea7a80">stan::math</a>
+</li>
+<li>acosh()
+: <a class="el" href="namespacestan_1_1math.html#ae033720f1a26c44aa9d7fb4dcf547155">stan::math</a>
+</li>
+<li>add()
+: <a class="el" href="namespacestan_1_1math.html#ab7092cc09ee412719d685be41a04982a">stan::math</a>
+</li>
+<li>add_initial_values()
+: <a class="el" href="namespacestan_1_1math.html#a1a238bf34fdfe67aa84300d9822f34be">stan::math</a>
+</li>
+<li>append_col()
+: <a class="el" href="namespacestan_1_1math.html#a7109247897a8a5530d481b3219eab226">stan::math</a>
+</li>
+<li>append_row()
+: <a class="el" href="namespacestan_1_1math.html#aed867c5cdbb34fe1c10ad212665c8611">stan::math</a>
+</li>
+<li>as_bool()
+: <a class="el" href="namespacestan_1_1math.html#a3ec93b560b654740be65de81d6f348cc">stan::math</a>
+</li>
+<li>asin()
+: <a class="el" href="namespacestan_1_1math.html#ab710bf940838cc452c426597f55f74dc">stan::math</a>
+</li>
+<li>asinh()
+: <a class="el" href="namespacestan_1_1math.html#a68af8aec6bd04b4d40e5bce59f82b97c">stan::math</a>
+</li>
+<li>assign()
+: <a class="el" href="namespacestan_1_1math.html#a0a80c719463c4e3caa03df731e2c2cb9">stan::math</a>
+</li>
+<li>atan()
+: <a class="el" href="namespacestan_1_1math.html#a85cb80cff5115679c25d7347ffa89c81">stan::math</a>
+</li>
+<li>atan2()
+: <a class="el" href="namespacestan_1_1math.html#aee48dfb63f75612a566b876f59d4a8df">stan::math</a>
+</li>
+<li>atanh()
+: <a class="el" href="namespacestan_1_1math.html#a9cbf81b5222fb11c01b539fab0434bdd">stan::math</a>
+</li>
+<li>autocorrelation()
+: <a class="el" href="namespacestan_1_1math.html#afd7c65ea100e48abc72f3c1e96fcdbe9">stan::math</a>
+</li>
+<li>autocovariance()
+: <a class="el" href="namespacestan_1_1math.html#acdfe56505f9cbe96a18fc00f76fe79fd">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+      <li><a href="namespacemembers_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_func_j.html#index_j"><span>j</span></a></li>
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+      <li><a href="namespacemembers_func_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_func_w.html#index_w"><span>w</span></a></li>
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_b"></a>- b -</h3><ul>
+<li>bernoulli_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a9d8811804a3bb9a9cd943422ce3938db">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ac46d3934578fb7346a900677a3e8c377">stan::math</a>
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+<li>bessel_first_kind()
+: <a class="el" href="namespacestan_1_1math.html#a0f08e25e46df323a2429edc45d1c8954">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ae0d069b5730083b0203812d63c6f62f3">stan::math</a>
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+<li>binomial_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a92586706a7afc2c968e0c11a9a021f8a">stan::math</a>
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+<li>binomial_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a96b0617f8ad60887c84b0cd91ebe202e">stan::math</a>
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+<li>binomial_coefficient_log()
+: <a class="el" href="namespacestan_1_1math.html#a113b2443c22c0859cc797b7c1bdea59f">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a9de035dd17c118b3144a9ed9c867378f">stan::math</a>
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+<li>binomial_logit_log()
+: <a class="el" href="namespacestan_1_1math.html#a5378254419361dd7a0bfacf139b49401">stan::math</a>
+</li>
+<li>binomial_rng()
+: <a class="el" href="namespacestan_1_1math.html#aa41d355d768c2258bf999bc765382f27">stan::math</a>
+</li>
+<li>block()
+: <a class="el" href="namespacestan_1_1math.html#a69be3cf865daa6eca4a859f97ffaa8f7">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+  </div>
+  <div id="navrow3" class="tabs2">
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+      <li class="current"><a href="namespacemembers_func.html"><span>Functions</span></a></li>
+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
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+      <li class="current"><a href="namespacemembers_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="namespacemembers_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="namespacemembers_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_func_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_func_w.html#index_w"><span>w</span></a></li>
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+</div><!-- top -->
+<!-- window showing the filter options -->
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+     onmouseover="return searchBox.OnSearchSelectShow()"
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+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
+<li>calculate_chain()
+: <a class="el" href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">stan::math</a>
+</li>
+<li>categorical_log()
+: <a class="el" href="namespacestan_1_1math.html#a583ce356e75d8d7be0126bb00c401afa">stan::math</a>
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+<li>categorical_logit_log()
+: <a class="el" href="namespacestan_1_1math.html#ac06f8075869ffd32c8a0385e57bc2170">stan::math</a>
+</li>
+<li>categorical_rng()
+: <a class="el" href="namespacestan_1_1math.html#a1f8b55cdaa59f3fe7718d5b45889cda6">stan::math</a>
+</li>
+<li>cauchy_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#aa932af729313abe32571d8a3742385ed">stan::math</a>
+</li>
+<li>cauchy_cdf()
+: <a class="el" href="namespacestan_1_1math.html#ab7ecad949e8b175b4b60f6f5cb16319b">stan::math</a>
+</li>
+<li>cauchy_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a689566206e25e90e590c2655d3b49032">stan::math</a>
+</li>
+<li>cauchy_log()
+: <a class="el" href="namespacestan_1_1math.html#a57b702de583e1883c8abd5b2fbba4b0d">stan::math</a>
+</li>
+<li>cauchy_rng()
+: <a class="el" href="namespacestan_1_1math.html#ab9ddbccee3c214e6fc88f297b6524d0b">stan::math</a>
+</li>
+<li>cbrt()
+: <a class="el" href="namespacestan_1_1math.html#a64c0dfe5862fc53f1a18d76f14a1dc7e">stan::math</a>
+</li>
+<li>ceil()
+: <a class="el" href="namespacestan_1_1math.html#ab1b2e9b4a947b81917612a8d1d547afb">stan::math</a>
+</li>
+<li>check_bounded()
+: <a class="el" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math</a>
+</li>
+<li>check_cholesky_factor()
+: <a class="el" href="namespacestan_1_1math.html#a6a07026df8b25226da59ac45f8e679c9">stan::math</a>
+</li>
+<li>check_cholesky_factor_corr()
+: <a class="el" href="namespacestan_1_1math.html#aa2df70fec3388f7969c873e6aa071b7e">stan::math</a>
+</li>
+<li>check_column_index()
+: <a class="el" href="namespacestan_1_1math.html#a16b0a60f741f97efac53254839f24ff8">stan::math</a>
+</li>
+<li>check_consistent_size()
+: <a class="el" href="namespacestan_1_1math.html#a6b6ab798e2f2a2ffad6b244efab0a58f">stan::math</a>
+</li>
+<li>check_consistent_sizes()
+: <a class="el" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math</a>
+</li>
+<li>check_corr_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a4f56159e67a4047107cc552702abaa6c">stan::math</a>
+</li>
+<li>check_cov_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a6e298b7563329829cb79930a121223b1">stan::math</a>
+</li>
+<li>check_equal()
+: <a class="el" href="namespacestan_1_1math.html#a1d8cfae284cdae1bb7e83d2a136f9a04">stan::math</a>
+</li>
+<li>check_finite()
+: <a class="el" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math</a>
+</li>
+<li>check_greater()
+: <a class="el" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math</a>
+</li>
+<li>check_greater_or_equal()
+: <a class="el" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math</a>
+</li>
+<li>check_ldlt_factor()
+: <a class="el" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math</a>
+</li>
+<li>check_less()
+: <a class="el" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math</a>
+</li>
+<li>check_less_or_equal()
+: <a class="el" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math</a>
+</li>
+<li>check_lower_triangular()
+: <a class="el" href="namespacestan_1_1math.html#acd07dd6b395becbbd349814c0e55c0d9">stan::math</a>
+</li>
+<li>check_matching_dims()
+: <a class="el" href="namespacestan_1_1math.html#aa1149504bbf29d464f23508ca5eccc0a">stan::math</a>
+</li>
+<li>check_matching_sizes()
+: <a class="el" href="namespacestan_1_1math.html#a52ba893fcf6fc650e992c13d41fbc3ae">stan::math</a>
+</li>
+<li>check_multiplicable()
+: <a class="el" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math</a>
+</li>
+<li>check_nonnegative()
+: <a class="el" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math</a>
+</li>
+<li>check_nonzero_size()
+: <a class="el" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math</a>
+</li>
+<li>check_not_nan()
+: <a class="el" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math</a>
+</li>
+<li>check_ordered()
+: <a class="el" href="namespacestan_1_1math.html#af55e7669a804e68bc9d39ecd06318b23">stan::math</a>
+</li>
+<li>check_pos_definite()
+: <a class="el" href="namespacestan_1_1math.html#a73c78430d39530eb8c4ef3fed06f7082">stan::math</a>
+</li>
+<li>check_pos_semidefinite()
+: <a class="el" href="namespacestan_1_1math.html#a02cfec85c227ec8307c522c00df02928">stan::math</a>
+</li>
+<li>check_positive()
+: <a class="el" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math</a>
+</li>
+<li>check_positive_finite()
+: <a class="el" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math</a>
+</li>
+<li>check_positive_ordered()
+: <a class="el" href="namespacestan_1_1math.html#a87f00a8c0f07c5a82145a14712437673">stan::math</a>
+</li>
+<li>check_positive_size()
+: <a class="el" href="namespacestan_1_1math.html#ac6fe1398a136f3dc36d246a2ea747500">stan::math</a>
+</li>
+<li>check_range()
+: <a class="el" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">stan::math</a>
+</li>
+<li>check_row_index()
+: <a class="el" href="namespacestan_1_1math.html#acb080867499e68f688b0dcb5c8f4e061">stan::math</a>
+</li>
+<li>check_simplex()
+: <a class="el" href="namespacestan_1_1math.html#a6affd19d4999c427291a2bbb07bce304">stan::math</a>
+</li>
+<li>check_size_match()
+: <a class="el" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math</a>
+</li>
+<li>check_spsd_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a7f80d208c430ed463474147d0e3ec3ce">stan::math</a>
+</li>
+<li>check_square()
+: <a class="el" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math</a>
+</li>
+<li>check_std_vector_index()
+: <a class="el" href="namespacestan_1_1math.html#a7ed873db07e833c14413c319a5bb9837">stan::math</a>
+</li>
+<li>check_symmetric()
+: <a class="el" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math</a>
+</li>
+<li>check_unit_vector()
+: <a class="el" href="namespacestan_1_1math.html#abde0b7cf68eab53d00c041fec244c735">stan::math</a>
+</li>
+<li>check_vector()
+: <a class="el" href="namespacestan_1_1math.html#a5b78e5ddf65db13aaa65a6c58205fbf2">stan::math</a>
+</li>
+<li>chi_square_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#af270a4206e4a52396b386b54c9a58ae9">stan::math</a>
+</li>
+<li>chi_square_cdf()
+: <a class="el" href="namespacestan_1_1math.html#aa196f552535f61f4b2bd088da74cc142">stan::math</a>
+</li>
+<li>chi_square_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#acbf0413c908e37c44c24ad81f99aa77f">stan::math</a>
+</li>
+<li>chi_square_log()
+: <a class="el" href="namespacestan_1_1math.html#a8a1c945dce01a8a4b4485b7c5bb258ba">stan::math</a>
+</li>
+<li>chi_square_rng()
+: <a class="el" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">stan::math</a>
+</li>
+<li>cholesky_corr_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a6649012a7c4d7108fb5dc5ebd6a13683">stan::math</a>
+</li>
+<li>cholesky_corr_free()
+: <a class="el" href="namespacestan_1_1math.html#aeed4fbb1adce01dfc445cae326e4c482">stan::math</a>
+</li>
+<li>cholesky_decompose()
+: <a class="el" href="namespacestan_1_1math.html#a4d798c4cab5a0716a0e338de38617c8e">stan::math</a>
+</li>
+<li>cholesky_factor_constrain()
+: <a class="el" href="namespacestan_1_1math.html#ae2be4ed6bbf19487de29cfc85718ed3b">stan::math</a>
+</li>
+<li>cholesky_factor_free()
+: <a class="el" href="namespacestan_1_1math.html#ad9d45c92d30d1120cfa4b71a766e1712">stan::math</a>
+</li>
+<li>col()
+: <a class="el" href="namespacestan_1_1math.html#a3d822499055d9eefe6cd543ad06e1d3b">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">stan::math</a>
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+<li>columns_dot_product()
+: <a class="el" href="namespacestan_1_1math.html#a09f7ba0991c234a715af5b4968a28014">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a3663d900f7f0bdd57e808301ff142ee1">stan::math</a>
+</li>
+<li>corr_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a40c9589bc6f6d15d7455de5ad453c8e6">stan::math</a>
+</li>
+<li>corr_free()
+: <a class="el" href="namespacestan_1_1math.html#a9322e1f1baeb5a192c4972dbec311b4e">stan::math</a>
+</li>
+<li>corr_matrix_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a8321b61db6a84b5d9041777643d53550">stan::math</a>
+</li>
+<li>corr_matrix_free()
+: <a class="el" href="namespacestan_1_1math.html#a34f63590ae0c736b6113d578d0899da1">stan::math</a>
+</li>
+<li>cos()
+: <a class="el" href="namespacestan_1_1math.html#a0f3ac00ed58d998daed7f4d97195e967">stan::math</a>
+</li>
+<li>cosh()
+: <a class="el" href="namespacestan_1_1math.html#ab2a43fcaf01cfef4c73074e77390a205">stan::math</a>
+</li>
+<li>cov_matrix_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a417c6032fe62186f7c8fb5452e4173d8">stan::math</a>
+</li>
+<li>cov_matrix_constrain_lkj()
+: <a class="el" href="namespacestan_1_1math.html#ad179abe18f235b3000ad7a000b3abb29">stan::math</a>
+</li>
+<li>cov_matrix_free()
+: <a class="el" href="namespacestan_1_1math.html#a485d3c2cd12e516bb13a1d48f9a43386">stan::math</a>
+</li>
+<li>cov_matrix_free_lkj()
+: <a class="el" href="namespacestan_1_1math.html#a9021324082d4241367fdd17da025a32d">stan::math</a>
+</li>
+<li>crossprod()
+: <a class="el" href="namespacestan_1_1math.html#a62cc3a137ff3220bdd0137a52a4b9714">stan::math</a>
+</li>
+<li>csr_extract_u()
+: <a class="el" href="group__csr__format.html#ga221b0a757cf0703a929342d2b4cea763">stan::math</a>
+</li>
+<li>csr_extract_v()
+: <a class="el" href="group__csr__format.html#ga01e6e2504c5eb6d0b289aa51172cd729">stan::math</a>
+</li>
+<li>csr_extract_w()
+: <a class="el" href="group__csr__format.html#gae45bfd671760b4f442d272456b2ae01c">stan::math</a>
+</li>
+<li>csr_matrix_times_vector()
+: <a class="el" href="namespacestan_1_1math.html#a9e045cbd4b736cc0cf57025b1d8f72fe">stan::math</a>
+</li>
+<li>csr_to_dense_matrix()
+: <a class="el" href="group__csr__format.html#gab28ee38f5eb51242d9c9280202baff5f">stan::math</a>
+</li>
+<li>csr_u_to_z()
+: <a class="el" href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">stan::math</a>
+</li>
+<li>cumulative_sum()
+: <a class="el" href="namespacestan_1_1math.html#a92fcacf229225bb313cf894cc1406a17">stan::math</a>
+</li>
+<li>cvodes_check_flag()
+: <a class="el" href="namespacestan_1_1math.html#a1eaa439c773642486cf1b19ab721810d">stan::math</a>
+</li>
+<li>cvodes_set_options()
+: <a class="el" href="namespacestan_1_1math.html#a04f90e73bf6b6aee8376e29eca277527">stan::math</a>
+</li>
+<li>cvodes_silent_err_handler()
+: <a class="el" href="namespacestan_1_1math.html#a6214fcce7dba5e79a0acb0dc6180c06e">stan::math</a>
+</li>
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+<li>decouple_ode_states()
+: <a class="el" href="namespacestan_1_1math.html#a07efa0f5060e1cbb91ac02a3936b4a1f">stan::math</a>
+</li>
+<li>derivative()
+: <a class="el" href="namespacestan_1_1math.html#a0597dca74b96a4287c6f848489288d44">stan::math</a>
+</li>
+<li>determinant()
+: <a class="el" href="namespacestan_1_1math.html#a63ab2582fc9a5a31d3d4f38a6420174e">stan::math</a>
+</li>
+<li>diag_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a8174ad2b40453c1bfcbdf59bf76e030d">stan::math</a>
+</li>
+<li>diag_post_multiply()
+: <a class="el" href="namespacestan_1_1math.html#ada475ab6293a9b7e5d3e6c1f92315008">stan::math</a>
+</li>
+<li>diag_pre_multiply()
+: <a class="el" href="namespacestan_1_1math.html#a97acdd27ef5fca2cd111010f6fccf6b8">stan::math</a>
+</li>
+<li>diagonal()
+: <a class="el" href="namespacestan_1_1math.html#a2e96160f66cf84ab9a4bae027645e5a5">stan::math</a>
+</li>
+<li>digamma()
+: <a class="el" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math</a>
+</li>
+<li>dims()
+: <a class="el" href="namespacestan_1_1math.html#a467589eef4220a87d457c8a268a1fd5d">stan::math</a>
+</li>
+<li>dirichlet_log()
+: <a class="el" href="namespacestan_1_1math.html#a301c4fce1eeb151070f72a81c33ccde4">stan::math</a>
+</li>
+<li>dirichlet_rng()
+: <a class="el" href="namespacestan_1_1math.html#acb288324f889b7da57f2960570f459ea">stan::math</a>
+</li>
+<li>dist()
+: <a class="el" href="namespacestan_1_1math.html#ae86020a972c6efc6b3407c3cfc30f4a6">stan::math</a>
+</li>
+<li>distance()
+: <a class="el" href="namespacestan_1_1math.html#acc0a62287bdf0c0420386fccc0a13ca9">stan::math</a>
+</li>
+<li>divide()
+: <a class="el" href="namespacestan_1_1math.html#ab1f35909d12ac43b74d180a49d68b674">stan::math</a>
+</li>
+<li>do_lkj_constant()
+: <a class="el" href="namespacestan_1_1math.html#a3832e36ec9ea72ce740753adb3b0d132">stan::math</a>
+</li>
+<li>domain_error()
+: <a class="el" href="namespacestan_1_1math.html#a108d489a4a749c8e429b519d9e26c157">stan::math</a>
+</li>
+<li>domain_error_vec()
+: <a class="el" href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">stan::math</a>
+</li>
+<li>dot()
+: <a class="el" href="namespacestan_1_1math.html#afd3b73319bd8df9dad1d3902997d8e89">stan::math</a>
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+<li>dot_product()
+: <a class="el" href="namespacestan_1_1math.html#a590dde9498d871fff74858d1f7ef2667">stan::math</a>
+</li>
+<li>dot_self()
+: <a class="el" href="namespacestan_1_1math.html#a8a6a4ef7c701db7984297d153580c8d4">stan::math</a>
+</li>
+<li>double_exponential_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ab670b33f7d9f8cd15406cce67ffbe2c9">stan::math</a>
+</li>
+<li>double_exponential_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a658493a49a4e83ac55393a5d43c47ba7">stan::math</a>
+</li>
+<li>double_exponential_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#aa71f7d99df6f1817ad1badc771e30a5e">stan::math</a>
+</li>
+<li>double_exponential_log()
+: <a class="el" href="namespacestan_1_1math.html#ac96b2758687c3d1eab564e67d18f8922">stan::math</a>
+</li>
+<li>double_exponential_rng()
+: <a class="el" href="namespacestan_1_1math.html#aa6ebff3092eb40851fa1f63b7b7196f8">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+      <li><a href="namespacemembers_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_func_d.html#index_d"><span>d</span></a></li>
+      <li class="current"><a href="namespacemembers_func_e.html#index_e"><span>e</span></a></li>
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+      <li><a href="namespacemembers_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_func_j.html#index_j"><span>j</span></a></li>
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+: <a class="el" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a2edc3d65b32928692984bd66a1b3bb56">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a430f171295b91277dc60dfa2177c7c0b">stan::math</a>
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+<li>erf()
+: <a class="el" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math</a>
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+<li>erfc()
+: <a class="el" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">stan::math</a>
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+<li>exp()
+: <a class="el" href="namespacestan_1_1math.html#ae43b048d4a5f53f94501773c93689a65">stan::math</a>
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+<li>exp2()
+: <a class="el" href="namespacestan_1_1math.html#a8c3a577694c8f584e56160580fe0821b">stan::math</a>
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+<li>exp_mod_normal_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a497ff815eeadaffe3204d33359c4be82">stan::math</a>
+</li>
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+: <a class="el" href="namespacestan_1_1math.html#a2b29301645f48dedc57b97409062250c">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ad0e32ac964461952d77df48cd30c6f1d">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#af27bb81f9220a9ba9082903fd55dff66">stan::math</a>
+</li>
+<li>exp_mod_normal_rng()
+: <a class="el" href="namespacestan_1_1math.html#a40d3c6fbf610e2c0e997a039f2ed98e8">stan::math</a>
+</li>
+<li>expm1()
+: <a class="el" href="namespacestan_1_1math.html#a8a76b658b94fcf8943f4fb41c586ec94">stan::math</a>
+</li>
+<li>exponential_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a42c92f31b24600c6ce05b4f21f54fb00">stan::math</a>
+</li>
+<li>exponential_cdf()
+: <a class="el" href="namespacestan_1_1math.html#ac753dcf58b69f0bbf7b001bfe19a3e44">stan::math</a>
+</li>
+<li>exponential_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a8fbf986074ea063853c8d244c3c17e0f">stan::math</a>
+</li>
+<li>exponential_log()
+: <a class="el" href="namespacestan_1_1math.html#addcdf998d9f336fd9e4118acc6c7a129">stan::math</a>
+</li>
+<li>exponential_rng()
+: <a class="el" href="namespacestan_1_1math.html#a6cfcce609912c9a6e1b2fad1e5055a1d">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+      <li><a href="namespacemembers_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_func_e.html#index_e"><span>e</span></a></li>
+      <li class="current"><a href="namespacemembers_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_func_m.html#index_m"><span>m</span></a></li>
+      <li><a href="namespacemembers_func_n.html#index_n"><span>n</span></a></li>
+      <li><a href="namespacemembers_func_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_func_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_func_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_func_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_func_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_func_w.html#index_w"><span>w</span></a></li>
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+<h3><a class="anchor" id="index_f"></a>- f -</h3><ul>
+<li>F32()
+: <a class="el" href="namespacestan_1_1math.html#ada2421cf831c518a6260f60d19eb5c32">stan::math</a>
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+<li>fabs()
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+</li>
+<li>factor_cov_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a9d6ef71b2e1a2a216a031d8403458bdd">stan::math</a>
+</li>
+<li>factor_U()
+: <a class="el" href="namespacestan_1_1math.html#aa6d09763679360f53f07ae20e8efc262">stan::math</a>
+</li>
+<li>falling_factorial()
+: <a class="el" href="namespacestan_1_1math.html#a5a3c08d051a8e4bc83c6ad9132af4099">stan::math</a>
+</li>
+<li>fdim()
+: <a class="el" href="namespacestan_1_1math.html#a7d2db622c0f83134b7f3ebd1eec3c1d6">stan::math</a>
+</li>
+<li>fill()
+: <a class="el" href="namespacestan_1_1math.html#aa7f5d81c4d45f2407096def8810ffe00">stan::math</a>
+</li>
+<li>finite_diff_grad_hessian()
+: <a class="el" href="namespacestan_1_1math.html#a138f3242eba971c17756586ace2c15d3">stan::math</a>
+</li>
+<li>finite_diff_gradient()
+: <a class="el" href="namespacestan_1_1math.html#ab34b9d54bbdc2b13f358a73a3dface45">stan::math</a>
+</li>
+<li>finite_diff_hess_helper()
+: <a class="el" href="namespacestan_1_1math.html#a9cfae14a02b57bee53b454f64b58c0b1">stan::math</a>
+</li>
+<li>finite_diff_hessian()
+: <a class="el" href="namespacestan_1_1math.html#a8b6ed64f691a457cb6691d7b478b4a1d">stan::math</a>
+</li>
+<li>floor()
+: <a class="el" href="namespacestan_1_1math.html#a16e5a2666b377e37fe807765ba5f6aaf">stan::math</a>
+</li>
+<li>fma()
+: <a class="el" href="namespacestan_1_1math.html#a1e283e1daef5282717309ddb1302d5dc">stan::math</a>
+</li>
+<li>fmax()
+: <a class="el" href="namespacestan_1_1math.html#a5e72a34aed1af28919d940399a07c3d0">stan::math</a>
+</li>
+<li>fmin()
+: <a class="el" href="namespacestan_1_1math.html#af78692904b139471b470740ce866468e">stan::math</a>
+</li>
+<li>fmod()
+: <a class="el" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">stan::math</a>
+</li>
+<li>fpclassify()
+: <a class="el" href="namespaceboost_1_1math.html#addcd4cb377863a7bb79a82dc82de96e1">boost::math</a>
+</li>
+<li>frechet_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a34680a4c6abd1d998326e44a212aa6d8">stan::math</a>
+</li>
+<li>frechet_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a252058aec5645d61efd61e155b788be7">stan::math</a>
+</li>
+<li>frechet_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#aad1ba53b1f236710eed4f8377dc06471">stan::math</a>
+</li>
+<li>frechet_log()
+: <a class="el" href="namespacestan_1_1math.html#a17f910a5107250d4b47468fe1e7487cc">stan::math</a>
+</li>
+<li>frechet_rng()
+: <a class="el" href="namespacestan_1_1math.html#a85bd113906fdeaf57e662a598ad99689">stan::math</a>
+</li>
+<li>free_cvodes_memory()
+: <a class="el" href="namespacestan_1_1math.html#a77292bb0c64aa3243c86437cae645ea2">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+      <li><a href="namespacemembers_func.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_func_f.html#index_f"><span>f</span></a></li>
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+      <li><a href="namespacemembers_func_h.html#index_h"><span>h</span></a></li>
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+      <li><a href="namespacemembers_func_m.html#index_m"><span>m</span></a></li>
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+      <li><a href="namespacemembers_func_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_func_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_func_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_func_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_func_v.html#index_v"><span>v</span></a></li>
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_g"></a>- g -</h3><ul>
+<li>gamma_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ae2f6f9efb0e1bacdc6415b6e0d6d6f00">stan::math</a>
+</li>
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+: <a class="el" href="namespacestan_1_1math.html#ad927dbc83dc93b41cfb7a1ab6dccbd9e">stan::math</a>
+</li>
+<li>gamma_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#af878fa8fc2eaeec210aff65ec83f5323">stan::math</a>
+</li>
+<li>gamma_log()
+: <a class="el" href="namespacestan_1_1math.html#aab77693b33e10406f7ca5d85ce97107f">stan::math</a>
+</li>
+<li>gamma_p()
+: <a class="el" href="namespacestan_1_1math.html#a764de29e557ee65caaff1b94388a9367">stan::math</a>
+</li>
+<li>gamma_q()
+: <a class="el" href="namespacestan_1_1math.html#a0830ba049b81bc98ea9fbcf1eb7b4bd6">stan::math</a>
+</li>
+<li>gamma_rng()
+: <a class="el" href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">stan::math</a>
+</li>
+<li>gaussian_dlm_obs_log()
+: <a class="el" href="namespacestan_1_1math.html#a439b46e03e6dbd7269b60989cf31de85">stan::math</a>
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+: <a class="el" href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan</a>
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+<li>get_base1()
+: <a class="el" href="namespacestan_1_1math.html#a25c1fac0445beea55c521c94f360e13e">stan::math</a>
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+<li>get_base1_lhs()
+: <a class="el" href="namespacestan_1_1math.html#a64467731d9abfaf97ea8d541d528142c">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ac0fd1b6e6ba9738332204bae823dc006">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a78c351f7c1ef5ea39c047fe102f70da3">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a43226a00b6c2d3f3a2ab5906490f3136">stan::math</a>
+</li>
+<li>grad_F32()
+: <a class="el" href="namespacestan_1_1math.html#a02dd0b6c85425c2005e265d8e66852a8">stan::math</a>
+</li>
+<li>grad_hessian()
+: <a class="el" href="namespacestan_1_1math.html#a367affe85da63060b14ae8bc988f0df6">stan::math</a>
+</li>
+<li>grad_inc_beta()
+: <a class="el" href="namespacestan_1_1math.html#a33cb272bd839945c13d7b41058c35c51">stan::math</a>
+</li>
+<li>grad_reg_inc_beta()
+: <a class="el" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math</a>
+</li>
+<li>grad_reg_inc_gamma()
+: <a class="el" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math</a>
+</li>
+<li>grad_tr_mat_times_hessian()
+: <a class="el" href="namespacestan_1_1math.html#aa7face099d2313985131cde21ae17d8f">stan::math</a>
+</li>
+<li>gradient()
+: <a class="el" href="namespacestan_1_1math.html#a410200762bf5cf510708cc72e89cd00c">stan::math</a>
+</li>
+<li>gradient_dot_vector()
+: <a class="el" href="namespacestan_1_1math.html#aef4059a767ad9af62d85cfb9685e250e">stan::math</a>
+</li>
+<li>gumbel_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a9da900adc6bb1216e99f604001cd4caa">stan::math</a>
+</li>
+<li>gumbel_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a52ac5bc9a01ebadccc004463b054697c">stan::math</a>
+</li>
+<li>gumbel_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a06f4009f162e58a62a583b84f2d5ccf9">stan::math</a>
+</li>
+<li>gumbel_log()
+: <a class="el" href="namespacestan_1_1math.html#a166ad02fac07d4a084655f8fde1ec2ec">stan::math</a>
+</li>
+<li>gumbel_rng()
+: <a class="el" href="namespacestan_1_1math.html#afb7ad70ee185c1e0720086617431f71a">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+  <div id="navrow4" class="tabs3">
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+      <li><a href="namespacemembers_func.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_func_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_func_g.html#index_g"><span>g</span></a></li>
+      <li class="current"><a href="namespacemembers_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_func_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_func_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_func_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_func_m.html#index_m"><span>m</span></a></li>
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+      <li><a href="namespacemembers_func_o.html#index_o"><span>o</span></a></li>
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+: <a class="el" href="namespacestan_1_1math.html#ae824fde6dc6e0f4ac3d37b86fb266414">stan::math</a>
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+<li>hessian()
+: <a class="el" href="namespacestan_1_1math.html#a01474168e03d94b982b6b4fd694b3302">stan::math</a>
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+<li>hypergeometric_rng()
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+<li>hypot()
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+      <li><a href="namespacemembers_func_u.html#index_u"><span>u</span></a></li>
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+<li>jacobian()
+: <a class="el" href="namespacestan_1_1math.html#a130c490b4d72b62bac8d835492731da3">stan::math</a>
+</li>
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+  <span style="float:left; margin=0 1em 0 1em;">
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+: <a class="el" href="namespacestan_1_1math.html#aad2fc9ce55dfac079d930335beb7e4a8">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ac74007e2d5f55d5ae4a308f535869aee">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ac9fc8e75fbb17cb5f22079e90fac128b">stan::math</a>
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+<li>lognormal_cdf()
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+<li>lognormal_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a1a771406ab16c52532e52bebc21c31f6">stan::math</a>
+</li>
+<li>lognormal_log()
+: <a class="el" href="namespacestan_1_1math.html#a2bfc3796274f4ccd677f96792551c127">stan::math</a>
+</li>
+<li>lognormal_rng()
+: <a class="el" href="namespacestan_1_1math.html#af5a619e160ca64fff9f2d69b32bf69b6">stan::math</a>
+</li>
+<li>lub_constrain()
+: <a class="el" href="namespacestan_1_1math.html#ab51cc5fe98ac938435e614765e30655a">stan::math</a>
+</li>
+<li>lub_free()
+: <a class="el" href="namespacestan_1_1math.html#ab9fa09fdc448652a57d364d70d6e88e3">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</li>
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+: <a class="el" href="namespacestan_1_1math.html#afcf62df7cae63f67b1c5c67651bc8dcf">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a83fb51aaff3da3d727bc12a3cdd106c5">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ac7b9a72ca7018cbf7883d7104345b4f6">stan::math</a>
+</li>
+<li>multi_student_t_rng()
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+: <a class="el" href="namespacestan_1_1math.html#a65b47c026be99de35988287412664e3d">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#abafa25b9871a31fc9bad3b23e43f24e4">stan::math</a>
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+<li>multiply_lower_tri_self_transpose()
+: <a class="el" href="namespacestan_1_1math.html#a3c0c953951f141b35277fe2308777cff">stan::math</a>
+</li>
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+<li>neg_binomial_2_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a63d35a349ee49712178c19dde27fcc5d">stan::math</a>
+</li>
+<li>neg_binomial_2_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a6bc7b5ee1f4534f7c6eb509f08c1dd8b">stan::math</a>
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+<li>neg_binomial_2_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ade0a4ada20d2611ea7b7c717bcfd42ad">stan::math</a>
+</li>
+<li>neg_binomial_2_log()
+: <a class="el" href="namespacestan_1_1math.html#a72735047f883b88395f4e50e515140d2">stan::math</a>
+</li>
+<li>neg_binomial_2_log_log()
+: <a class="el" href="namespacestan_1_1math.html#a07f9603fcb9767d59c7aa75cfbd489e9">stan::math</a>
+</li>
+<li>neg_binomial_2_log_rng()
+: <a class="el" href="namespacestan_1_1math.html#a626a27ed755b59249175c99dd2548ea3">stan::math</a>
+</li>
+<li>neg_binomial_2_rng()
+: <a class="el" href="namespacestan_1_1math.html#a1088da4c2c0c2b157862fbad43c75d0a">stan::math</a>
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+<li>neg_binomial_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a176323fd45f7f70cf9fa801310c3c614">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a31e90bd5f65cafdcd66b41617bf31718">stan::math</a>
+</li>
+<li>neg_binomial_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a51e5ebf37ccf49350280631039a23017">stan::math</a>
+</li>
+<li>neg_binomial_log()
+: <a class="el" href="namespacestan_1_1math.html#a5b3f283f0d71f78bb437e1e1c4fdb805">stan::math</a>
+</li>
+<li>neg_binomial_rng()
+: <a class="el" href="namespacestan_1_1math.html#a898e2ab003c78229367378b150c78aca">stan::math</a>
+</li>
+<li>negative_infinity()
+: <a class="el" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math</a>
+</li>
+<li>nested_size()
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+<li>normal_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a2214490cfe7d81bdc51318028cd7df94">stan::math</a>
+</li>
+<li>normal_cdf()
+: <a class="el" href="namespacestan_1_1math.html#aa2b9ee666af5f1741dc9f75108176386">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a6d0b3b3339016b3282cf360feb7cd0f9">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a1b7d387734f07e63bf2713b610f73a2d">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ac70652885c9903a1122575590075bc78">stan::math</a>
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+<li>not_a_number()
+: <a class="el" href="namespacestan_1_1math.html#a381493bccc58bd993d797a2a5458c486">stan::math</a>
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+<li>num_elements()
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+</li>
+</ul>
+</div><!-- contents -->
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+      <li><a href="namespacemembers_func_d.html#index_d"><span>d</span></a></li>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
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+      <li><a href="namespacemembers_func_w.html#index_w"><span>w</span></a></li>
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+&#160;
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+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
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+: <a class="el" href="namespacestan_1_1math.html#a6cf4bf2074175fd7bcde43f9f94e4d16">stan::math</a>
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+<li>precomputed_gradients()
+: <a class="el" href="namespacestan_1_1math.html#a2ae0c4c9c64db8bb166f67caf352b35f">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#aa8f00af063b839677434c6a0f92629a3">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a0611cecb5356e187818c1901134c7665">stan::math</a>
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+<li>prob_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a3b5c8822124337e5d000cfa60046c5fa">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a533afff719fe3e21bf53d2fa53d2fbe3">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a300cf63dd3332cff2161fdc32aec4026">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a4815c45c3f87ea98453880863e3a0b94">stan::math</a>
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+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
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+</div>
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+<hr/>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+      <li><a href="namespacemembers_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_func_d.html#index_d"><span>d</span></a></li>
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+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>tail()
+: <a class="el" href="namespacestan_1_1math.html#a55548f1b502d1dd6283268b79fc41507">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ae09b685b660830075f80caaf8a350676">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ae11dc45fd471bec1a19462ce58f434b8">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ab379e9a9f74dab16c41d82978cc4b58e">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">stan::math</a>
+</li>
+<li>to_array_1d()
+: <a class="el" href="namespacestan_1_1math.html#aa21ef8b682892947fbb2059e137d03dd">stan::math</a>
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+<li>to_array_2d()
+: <a class="el" href="namespacestan_1_1math.html#a3a169380be20289fd7824baa5060cffb">stan::math</a>
+</li>
+<li>to_fvar()
+: <a class="el" href="namespacestan_1_1math.html#a1e3e1362a4de8a9143246413e9bf9e99">stan::math</a>
+</li>
+<li>to_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a1c5c1dfd195623ec3ff7343d3f24e968">stan::math</a>
+</li>
+<li>to_row_vector()
+: <a class="el" href="namespacestan_1_1math.html#af1825eca21dc8549e0a785a3d3a44e83">stan::math</a>
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+<li>to_var()
+: <a class="el" href="namespacestan_1_1math.html#a23a0b6d855303036d196c5b3ccb1a320">stan::math</a>
+</li>
+<li>to_vector()
+: <a class="el" href="namespacestan_1_1math.html#ab76ae6751295de2d9e1961eea42dc631">stan::math</a>
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+<li>trace()
+: <a class="el" href="namespacestan_1_1math.html#a8fb2aa245d794e2a6c352038f4811a37">stan::math</a>
+</li>
+<li>trace_gen_inv_quad_form_ldlt()
+: <a class="el" href="namespacestan_1_1math.html#a03da89fcbd2829c84a5beeb9ccbf2ccf">stan::math</a>
+</li>
+<li>trace_gen_quad_form()
+: <a class="el" href="namespacestan_1_1math.html#a2c0d37f9fa5d50999308a19d8e67714e">stan::math</a>
+</li>
+<li>trace_inv_quad_form_ldlt()
+: <a class="el" href="namespacestan_1_1math.html#aaddc5785e5e629683ca0c3d11346d025">stan::math</a>
+</li>
+<li>trace_quad_form()
+: <a class="el" href="namespacestan_1_1math.html#a9bd6d656aebcc1a3937996a31c937a54">stan::math</a>
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+<li>transpose()
+: <a class="el" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">stan::math</a>
+</li>
+<li>trigamma()
+: <a class="el" href="namespacestan_1_1math.html#ab18c21bad37c9af26424d0922936355e">stan::math</a>
+</li>
+<li>trunc()
+: <a class="el" href="namespacestan_1_1math.html#a79abc1d4f747b3c26c07b2b1e4871603">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+      <li><a href="namespacemembers_func_d.html#index_d"><span>d</span></a></li>
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+      <li><a href="namespacemembers_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_func_h.html#index_h"><span>h</span></a></li>
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+      <li><a href="namespacemembers_func_s.html#index_s"><span>s</span></a></li>
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+<h3><a class="anchor" id="index_u"></a>- u -</h3><ul>
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+: <a class="el" href="namespacestan_1_1math.html#ad9440f04c389ecf55094919dd4a29561">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">stan::math</a>
+</li>
+<li>unit_vector_constrain()
+: <a class="el" href="namespacestan_1_1math.html#ab02536354716bc493098010f66db1209">stan::math</a>
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+<li>unit_vector_free()
+: <a class="el" href="namespacestan_1_1math.html#a65fb60ad466e375f68798ff25881e378">stan::math</a>
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+</ul>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+      <li><a href="namespacemembers_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_func_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_func_i.html#index_i"><span>i</span></a></li>
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+      <li><a href="namespacemembers_func_q.html#index_q"><span>q</span></a></li>
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+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>validate_non_negative_index()
+: <a class="el" href="namespacestan_1_1math.html#abb591fca3d88d2a5d587ce6172b62bf4">stan::math</a>
+</li>
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+: <a class="el" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a2d7774df98215b7d113075019d74ebbf">stan::math</a>
+</li>
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+: <a class="el" href="namespacestan_1_1math.html#ab481d22f60e4cb93d629ac5d9f43bb00">stan::math</a>
+</li>
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+: <a class="el" href="namespacestan_1_1math.html#a7bb47fffd6ec0b1864d5e8bf0b99cf55">stan::math</a>
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+<li>variance()
+: <a class="el" href="namespacestan_1_1math.html#aa433ac2fc47bbd40a6d87f62574dff85">stan::math</a>
+</li>
+<li>von_mises_log()
+: <a class="el" href="namespacestan_1_1math.html#a8a06353ba5a996ebfc43ec69decf9fb9">stan::math</a>
+</li>
+<li>von_mises_rng()
+: <a class="el" href="namespacestan_1_1math.html#a71998db3e6cfebf31463452f99878b99">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
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+      <li><a href="namespacemembers_func_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_func_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_func_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_func_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_func_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_func_h.html#index_h"><span>h</span></a></li>
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+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_w"></a>- w -</h3><ul>
+<li>weibull_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#aa0033ce06f5f7b1109a42eee2579955a">stan::math</a>
+</li>
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+<li>weibull_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ae94334459868c125f2a6504b69f46158">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a4f3a52747636627895374aa555279a92">stan::math</a>
+</li>
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+: <a class="el" href="namespacestan_1_1math.html#afd376b3fe82077f0565de1fbef6b4202">stan::math</a>
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+<li>wiener_log()
+: <a class="el" href="namespacestan_1_1math.html#a51ee0070ef7fdeac83b11eae40b1646a">stan::math</a>
+</li>
+<li>wishart_log()
+: <a class="el" href="namespacestan_1_1math.html#a951a06ccbb12ca44a08544000372dbf1">stan::math</a>
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+<li>wishart_rng()
+: <a class="el" href="namespacestan_1_1math.html#a7025b4916694aa80aa0d758a11647b5d">stan::math</a>
+</li>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+      <li class="current"><a href="namespaces.html"><span>Namespaces</span></a></li>
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+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
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+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li class="current"><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
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+      <li><a href="namespacemembers_n.html#index_n"><span>n</span></a></li>
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+      <li><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
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+  </div>
+</div><!-- top -->
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_g"></a>- g -</h3><ul>
+<li>gamma_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ae2f6f9efb0e1bacdc6415b6e0d6d6f00">stan::math</a>
+</li>
+<li>gamma_cdf()
+: <a class="el" href="namespacestan_1_1math.html#ad927dbc83dc93b41cfb7a1ab6dccbd9e">stan::math</a>
+</li>
+<li>gamma_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#af878fa8fc2eaeec210aff65ec83f5323">stan::math</a>
+</li>
+<li>gamma_log()
+: <a class="el" href="namespacestan_1_1math.html#aab77693b33e10406f7ca5d85ce97107f">stan::math</a>
+</li>
+<li>gamma_p()
+: <a class="el" href="namespacestan_1_1math.html#a764de29e557ee65caaff1b94388a9367">stan::math</a>
+</li>
+<li>gamma_q()
+: <a class="el" href="namespacestan_1_1math.html#a0830ba049b81bc98ea9fbcf1eb7b4bd6">stan::math</a>
+</li>
+<li>gamma_rng()
+: <a class="el" href="namespacestan_1_1math.html#aacf6ec5f55f56b5756804a1771259a58">stan::math</a>
+</li>
+<li>gaussian_dlm_obs_log()
+: <a class="el" href="namespacestan_1_1math.html#a439b46e03e6dbd7269b60989cf31de85">stan::math</a>
+</li>
+<li>get()
+: <a class="el" href="namespacestan.html#a431bd201f09a215cccb16cda10a1e840">stan</a>
+</li>
+<li>get_base1()
+: <a class="el" href="namespacestan_1_1math.html#a25c1fac0445beea55c521c94f360e13e">stan::math</a>
+</li>
+<li>get_base1_lhs()
+: <a class="el" href="namespacestan_1_1math.html#a64467731d9abfaf97ea8d541d528142c">stan::math</a>
+</li>
+<li>get_lp()
+: <a class="el" href="namespacestan_1_1math.html#ac0fd1b6e6ba9738332204bae823dc006">stan::math</a>
+</li>
+<li>grad()
+: <a class="el" href="namespacestan_1_1math.html#a78c351f7c1ef5ea39c047fe102f70da3">stan::math</a>
+</li>
+<li>grad_2F1()
+: <a class="el" href="namespacestan_1_1math.html#a43226a00b6c2d3f3a2ab5906490f3136">stan::math</a>
+</li>
+<li>grad_F32()
+: <a class="el" href="namespacestan_1_1math.html#a02dd0b6c85425c2005e265d8e66852a8">stan::math</a>
+</li>
+<li>grad_hessian()
+: <a class="el" href="namespacestan_1_1math.html#a367affe85da63060b14ae8bc988f0df6">stan::math</a>
+</li>
+<li>grad_inc_beta()
+: <a class="el" href="namespacestan_1_1math.html#a33cb272bd839945c13d7b41058c35c51">stan::math</a>
+</li>
+<li>grad_reg_inc_beta()
+: <a class="el" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math</a>
+</li>
+<li>grad_reg_inc_gamma()
+: <a class="el" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math</a>
+</li>
+<li>grad_tr_mat_times_hessian()
+: <a class="el" href="namespacestan_1_1math.html#aa7face099d2313985131cde21ae17d8f">stan::math</a>
+</li>
+<li>gradient()
+: <a class="el" href="namespacestan_1_1math.html#a410200762bf5cf510708cc72e89cd00c">stan::math</a>
+</li>
+<li>gradient_dot_vector()
+: <a class="el" href="namespacestan_1_1math.html#aef4059a767ad9af62d85cfb9685e250e">stan::math</a>
+</li>
+<li>gumbel_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a9da900adc6bb1216e99f604001cd4caa">stan::math</a>
+</li>
+<li>gumbel_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a52ac5bc9a01ebadccc004463b054697c">stan::math</a>
+</li>
+<li>gumbel_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a06f4009f162e58a62a583b84f2d5ccf9">stan::math</a>
+</li>
+<li>gumbel_log()
+: <a class="el" href="namespacestan_1_1math.html#a166ad02fac07d4a084655f8fde1ec2ec">stan::math</a>
+</li>
+<li>gumbel_rng()
+: <a class="el" href="namespacestan_1_1math.html#afb7ad70ee185c1e0720086617431f71a">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+</div>
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+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
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+<h3><a class="anchor" id="index_h"></a>- h -</h3><ul>
+<li>head()
+: <a class="el" href="namespacestan_1_1math.html#ae824fde6dc6e0f4ac3d37b86fb266414">stan::math</a>
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+<li>hessian()
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+: <a class="el" href="namespacestan_1_1math.html#a69389a1cd22b50df04a87245292f7f85">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#acf091835ddc913687ab4d34c3eee662e">stan::math</a>
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+<li>hypergeometric_rng()
+: <a class="el" href="namespacestan_1_1math.html#a3878889879be4781cc8d560f534ab123">stan::math</a>
+</li>
+<li>hypot()
+: <a class="el" href="namespacestan_1_1math.html#a490944d221f2b68baf4092667f490ae8">stan::math</a>
+</li>
+</ul>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
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+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li class="current"><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
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+      <li><a href="namespacemembers_n.html#index_n"><span>n</span></a></li>
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+      <li><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
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+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
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+      <li><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
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+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
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+</div><!-- top -->
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+        name="MSearchResults" id="MSearchResults">
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+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>ibeta()
+: <a class="el" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">stan::math</a>
+</li>
+<li>identity_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a7925ed2737df76a38ae17c13f85e9141">stan::math</a>
+</li>
+<li>identity_free()
+: <a class="el" href="namespacestan_1_1math.html#ac50a1ae328bd1f7195b0c77a16a684ab">stan::math</a>
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+<li>if_else()
+: <a class="el" href="namespacestan_1_1math.html#abc1dc3a479994402ee1959b75fa2c70f">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math</a>
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+<li>inc_beta_dda()
+: <a class="el" href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">stan::math</a>
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+<li>inc_beta_ddb()
+: <a class="el" href="namespacestan_1_1math.html#afc99a6a1e74fd1daeab96f7eeb3b05a8">stan::math</a>
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+<li>inc_beta_ddz()
+: <a class="el" href="namespacestan_1_1math.html#a3e5957e2cb19140e6c7bacf5c68320b7">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a7f2ac8ebf3095e9934715bb34f0669b3">stan::math</a>
+</li>
+<li>initialize()
+: <a class="el" href="namespacestan_1_1math.html#af81e05dfd6918524dafff10715f21a8d">stan::math</a>
+</li>
+<li>initialize_variable()
+: <a class="el" href="namespacestan_1_1math.html#aebdf0a5cd40134110da3230d6fdea989">stan::math</a>
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+<li>int_step()
+: <a class="el" href="namespacestan_1_1math.html#a8c507cff4b7b473cd86e1d428fb03136">stan::math</a>
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+<li>integrate_ode_bdf()
+: <a class="el" href="namespacestan_1_1math.html#a8e22309832ef6310a05a7f378562e330">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a58c5864d8bd873b60b8a377ff1bc515f">stan::math</a>
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+<li>inv()
+: <a class="el" href="namespacestan_1_1math.html#a2a5386561ba622e05cb64345fdad6a3b">stan::math</a>
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+<li>inv_chi_square_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a24a32a9537cf8218b73109b93379b5b1">stan::math</a>
+</li>
+<li>inv_chi_square_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a372e143655badb8f25e542697f689f39">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#aae005376416b29d9118470b9c2d18133">stan::math</a>
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+<li>inv_chi_square_log()
+: <a class="el" href="namespacestan_1_1math.html#aae83a74c666a703da52db606eb478f50">stan::math</a>
+</li>
+<li>inv_chi_square_rng()
+: <a class="el" href="namespacestan_1_1math.html#a8159125045ed1c5ee551537c9983921f">stan::math</a>
+</li>
+<li>inv_cloglog()
+: <a class="el" href="namespacestan_1_1math.html#aba00ed1e73c3a2366226aa4c83e4d8b9">stan::math</a>
+</li>
+<li>inv_gamma_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#af2b35d989d0d1a9cb6ea163bbbd14ed3">stan::math</a>
+</li>
+<li>inv_gamma_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a195c84d2f45abc7bcf28c1d9e3fd8cf8">stan::math</a>
+</li>
+<li>inv_gamma_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a0e622170c7270f1a441235f98248d3a3">stan::math</a>
+</li>
+<li>inv_gamma_log()
+: <a class="el" href="namespacestan_1_1math.html#ad34fa642137e07f723c995d42e78df2c">stan::math</a>
+</li>
+<li>inv_gamma_rng()
+: <a class="el" href="namespacestan_1_1math.html#a3222e632ba4aaeb90753a96520799867">stan::math</a>
+</li>
+<li>inv_logit()
+: <a class="el" href="namespacestan_1_1math.html#ad2c4834fc581f55acf8491ec3f80ecb7">stan::math</a>
+</li>
+<li>inv_Phi()
+: <a class="el" href="namespacestan_1_1math.html#a91bcae4b6bdf262f91673bf7b15fea99">stan::math</a>
+</li>
+<li>inv_sqrt()
+: <a class="el" href="namespacestan_1_1math.html#aca2d4971bfd22beacb304bdd5b9d3395">stan::math</a>
+</li>
+<li>INV_SQRT_2
+: <a class="el" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math</a>
+</li>
+<li>INV_SQRT_TWO_PI
+: <a class="el" href="namespacestan_1_1math.html#a44d54686aa26009d0e9101be42afd877">stan::math</a>
+</li>
+<li>inv_square()
+: <a class="el" href="namespacestan_1_1math.html#aa7c1f6b0f3c9f48fa30e09f2d929336d">stan::math</a>
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+<li>inv_wishart_log()
+: <a class="el" href="namespacestan_1_1math.html#a96f8f9a5add1c91cbe30c887265da81f">stan::math</a>
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+<li>inv_wishart_rng()
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+<li>invalid_argument()
+: <a class="el" href="namespacestan_1_1math.html#aacf5709c614035ef60053a348e18554c">stan::math</a>
+</li>
+<li>invalid_argument_vec()
+: <a class="el" href="namespacestan_1_1math.html#add7b2630385b99ef7045818ba8fe2a97">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#aab64bf2ca0e8e628e49119ed995c1c67">stan::math</a>
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+<li>inverse_softmax()
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+<li>inverse_spd()
+: <a class="el" href="namespacestan_1_1math.html#a69d2c003918b45e95edb84ea58b84c68">stan::math</a>
+</li>
+<li>is_aligned()
+: <a class="el" href="namespacestan_1_1math.html#a7add35b0758b1d0541f7e919c36412f9">stan::math</a>
+</li>
+<li>is_inf()
+: <a class="el" href="namespacestan_1_1math.html#ad359149ebad087910f96e62f88287c1f">stan::math</a>
+</li>
+<li>is_nan()
+: <a class="el" href="namespacestan_1_1math.html#acf8ef1e06cddc77c4c56311f937cc183">stan::math</a>
+</li>
+<li>is_uninitialized()
+: <a class="el" href="namespacestan_1_1math.html#a40c14c26dc55a985e05695b3ff1eeef2">stan::math</a>
+</li>
+<li>isfinite()
+: <a class="el" href="namespaceboost_1_1math.html#a99b3c9ca2565e57981ac77d110c0f26d">boost::math</a>
+</li>
+<li>isinf()
+: <a class="el" href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math</a>
+, <a class="el" href="namespacestd.html#a0bd8de4059fbba0fe38dc56567f2158a">std</a>
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+: <a class="el" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math</a>
+, <a class="el" href="namespacestd.html#a3a2f34cf599093f31edcc8e056311305">std</a>
+</li>
+<li>isnormal()
+: <a class="el" href="namespaceboost_1_1math.html#aa0100dc26ee826099c1d04ddc6cf3c89">boost::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <i>&copy; 2011&ndash;2016,
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+      <li><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
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+<h3><a class="anchor" id="index_j"></a>- j -</h3><ul>
+<li>jacobian()
+: <a class="el" href="namespacestan_1_1math.html#a130c490b4d72b62bac8d835492731da3">stan::math</a>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
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+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
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+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
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+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
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+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
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+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
+<li>lb_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a02477dd575f3d242826df72489faac4c">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a21018562738b2bf94984bcb7e1c9865b">stan::math</a>
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+<li>lkj_corr_cholesky_log()
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+: <a class="el" href="namespacestan_1_1math.html#af0cb454dc9397439a74c185da61a3d5e">stan::math</a>
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+<li>lkj_corr_rng()
+: <a class="el" href="namespacestan_1_1math.html#a7a32027fc9306df3c5a0418fa44826fa">stan::math</a>
+</li>
+<li>lkj_cov_log()
+: <a class="el" href="namespacestan_1_1math.html#a4d5d029cbf5c052432705dc9ad334df6">stan::math</a>
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+<li>log()
+: <a class="el" href="namespacestan_1_1math.html#a8a236280de2603e0ead1966468f0ceea">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a808cbb5ac4003f28e2538805ebe338ef">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">stan::math</a>
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+<li>log1m_inv_logit()
+: <a class="el" href="namespacestan_1_1math.html#a79f286f8a9043aee8a1a844493da0d55">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">stan::math</a>
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+<li>log2()
+: <a class="el" href="namespacestan_1_1math.html#a4eea39b4ca603cff7518068499884364">stan::math</a>
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+<li>LOG_10
+: <a class="el" href="namespacestan_1_1math.html#ab773773e2db53015eb48ab1730816fb5">stan::math</a>
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+<li>LOG_2
+: <a class="el" href="namespacestan_1_1math.html#a43fb48f0a7f26bc60c1dfb572283b149">stan::math</a>
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+<li>log_determinant()
+: <a class="el" href="namespacestan_1_1math.html#a6f88bd206be351748e56aebf7e58289a">stan::math</a>
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+<li>log_determinant_ldlt()
+: <a class="el" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">stan::math</a>
+</li>
+<li>log_determinant_spd()
+: <a class="el" href="namespacestan_1_1math.html#ae9a296d4414d0193108c70b350a05cfc">stan::math</a>
+</li>
+<li>log_diff_exp()
+: <a class="el" href="namespacestan_1_1math.html#a34180da33deb01d13fcf6c5907d1309e">stan::math</a>
+</li>
+<li>log_falling_factorial()
+: <a class="el" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">stan::math</a>
+</li>
+<li>LOG_HALF
+: <a class="el" href="namespacestan_1_1math.html#a84525339d1870944d63c1cce6caa1af1">stan::math</a>
+</li>
+<li>log_inv_logit()
+: <a class="el" href="namespacestan_1_1math.html#acd2fe56bce70a04dd11e8a5a32b1b51c">stan::math</a>
+</li>
+<li>log_inv_logit_diff()
+: <a class="el" href="namespacestan_1_1math.html#ad4e08116b9ebf4a6592aa9f8fa393669">stan::math</a>
+</li>
+<li>log_mix()
+: <a class="el" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">stan::math</a>
+</li>
+<li>log_mix_partial_helper()
+: <a class="el" href="namespacestan_1_1math.html#a23c2aeab81ef4820c6df233e1d35a3a9">stan::math</a>
+</li>
+<li>LOG_PI
+: <a class="el" href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">stan::math</a>
+</li>
+<li>LOG_PI_OVER_FOUR
+: <a class="el" href="namespacestan_1_1math.html#a177764626d2378e0d7bdfb26aac187b6">stan::math</a>
+</li>
+<li>log_rising_factorial()
+: <a class="el" href="namespacestan_1_1math.html#aa4aff0dd42a2b0b33ac55e9a45f35b1e">stan::math</a>
+</li>
+<li>log_softmax()
+: <a class="el" href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">stan::math</a>
+</li>
+<li>LOG_SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#ab836723c882918b6263042bdefa3c0d7">stan::math</a>
+</li>
+<li>log_sum_exp()
+: <a class="el" href="namespacestan_1_1math.html#a50e133913e946710e85efc00306a2610">stan::math</a>
+</li>
+<li>LOG_TWO
+: <a class="el" href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">stan::math</a>
+</li>
+<li>LOG_TWO_PI
+: <a class="el" href="namespacestan_1_1math.html#a938e5d349b0ffdfdae9674f9dd4dbebe">stan::math</a>
+</li>
+<li>LOG_ZERO
+: <a class="el" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">stan::math</a>
+</li>
+<li>logical_and()
+: <a class="el" href="namespacestan_1_1math.html#adc35bab2db89b3ceda66f11e1fa53ec8">stan::math</a>
+</li>
+<li>logical_eq()
+: <a class="el" href="namespacestan_1_1math.html#ab2213736b55fd6696fa0120fd3fe72e4">stan::math</a>
+</li>
+<li>logical_gt()
+: <a class="el" href="namespacestan_1_1math.html#aba86bfd994302061a0260e1202fca777">stan::math</a>
+</li>
+<li>logical_gte()
+: <a class="el" href="namespacestan_1_1math.html#ac6bb0b8623192207d35e207ea312d8be">stan::math</a>
+</li>
+<li>logical_lt()
+: <a class="el" href="namespacestan_1_1math.html#a0b5bd91412749e10933f304b54aef88f">stan::math</a>
+</li>
+<li>logical_lte()
+: <a class="el" href="namespacestan_1_1math.html#af3649d4c704962c4502cd6220a5e2230">stan::math</a>
+</li>
+<li>logical_negation()
+: <a class="el" href="namespacestan_1_1math.html#aad2fc9ce55dfac079d930335beb7e4a8">stan::math</a>
+</li>
+<li>logical_neq()
+: <a class="el" href="namespacestan_1_1math.html#a206eb210d8e7e2c718af25c40de8f9d1">stan::math</a>
+</li>
+<li>logical_or()
+: <a class="el" href="namespacestan_1_1math.html#ac74007e2d5f55d5ae4a308f535869aee">stan::math</a>
+</li>
+<li>logistic_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a2fd36ac96595c375db7fddc885c30794">stan::math</a>
+</li>
+<li>logistic_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a1e1ca40295978d785324b33f3a78c96b">stan::math</a>
+</li>
+<li>logistic_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a88d9fcb73b6a1d04896031edc0d8e510">stan::math</a>
+</li>
+<li>logistic_log()
+: <a class="el" href="namespacestan_1_1math.html#a431d5fcf935535cbe08981286652d57b">stan::math</a>
+</li>
+<li>logistic_rng()
+: <a class="el" href="namespacestan_1_1math.html#ac9fc8e75fbb17cb5f22079e90fac128b">stan::math</a>
+</li>
+<li>logit()
+: <a class="el" href="namespacestan_1_1math.html#ab025eaf1e6f5c920f69c37e7a7f8b319">stan::math</a>
+</li>
+<li>lognormal_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#afacb0f2c6b58bc55e506f3bfcf9ba829">stan::math</a>
+</li>
+<li>lognormal_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a9536cc20905aca8f393138adbe71bb73">stan::math</a>
+</li>
+<li>lognormal_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a1a771406ab16c52532e52bebc21c31f6">stan::math</a>
+</li>
+<li>lognormal_log()
+: <a class="el" href="namespacestan_1_1math.html#a2bfc3796274f4ccd677f96792551c127">stan::math</a>
+</li>
+<li>lognormal_rng()
+: <a class="el" href="namespacestan_1_1math.html#af5a619e160ca64fff9f2d69b32bf69b6">stan::math</a>
+</li>
+<li>lub_constrain()
+: <a class="el" href="namespacestan_1_1math.html#ab51cc5fe98ac938435e614765e30655a">stan::math</a>
+</li>
+<li>lub_free()
+: <a class="el" href="namespacestan_1_1math.html#ab9fa09fdc448652a57d364d70d6e88e3">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Namespace Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li class="current"><a href="namespaces.html"><span>Namespaces</span></a></li>
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+               onfocus="searchBox.OnSearchFieldFocus(true)" 
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+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
+      <li class="current"><a href="namespacemembers.html"><span>Namespace&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="namespacemembers.html"><span>All</span></a></li>
+      <li><a href="namespacemembers_func.html"><span>Functions</span></a></li>
+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="namespacemembers.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
+      <li class="current"><a href="namespacemembers_m.html#index_m"><span>m</span></a></li>
+      <li><a href="namespacemembers_n.html#index_n"><span>n</span></a></li>
+      <li><a href="namespacemembers_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>machine_precision()
+: <a class="el" href="namespacestan_1_1math.html#a173839dddd0a8ac8afa710b9e3d5008a">stan::math</a>
+</li>
+<li>MAJOR_VERSION
+: <a class="el" href="namespacestan_1_1math.html#a8a063d6b0347cc193b69270211e8aadd">stan::math</a>
+</li>
+<li>make_nu()
+: <a class="el" href="namespacestan_1_1math.html#a71d39c88943f3fb8e45759c62d68953b">stan::math</a>
+</li>
+<li>matrix_d
+: <a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">stan::math</a>
+</li>
+<li>matrix_fd
+: <a class="el" href="namespacestan_1_1math.html#a12edd55403c6b7a6a7a859aef1990df5">stan::math</a>
+</li>
+<li>matrix_ffd
+: <a class="el" href="namespacestan_1_1math.html#ac1a8f07814e249e758d3347cbf3ce23f">stan::math</a>
+</li>
+<li>matrix_ffv
+: <a class="el" href="namespacestan_1_1math.html#af7ad1f7cc49caf90a56fe364405e1187">stan::math</a>
+</li>
+<li>matrix_fv
+: <a class="el" href="namespacestan_1_1math.html#a401abbdecf03e1aaa673aae55ea22fad">stan::math</a>
+</li>
+<li>matrix_normal_prec_log()
+: <a class="el" href="namespacestan_1_1math.html#a3feb895ef1190ad6e77185e70a3fa66d">stan::math</a>
+</li>
+<li>matrix_v
+: <a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">stan::math</a>
+</li>
+<li>max()
+: <a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">stan::math</a>
+</li>
+<li>max_size()
+: <a class="el" href="namespacestan.html#ac5ca4bf16c3b5c453162473c67f844bb">stan</a>
+</li>
+<li>max_size_mvt()
+: <a class="el" href="namespacestan.html#a7abf6526ceb23475508fd42299a7a369">stan</a>
+</li>
+<li>mdivide_left()
+: <a class="el" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">stan::math</a>
+</li>
+<li>mdivide_left_ldlt()
+: <a class="el" href="namespacestan_1_1math.html#aed166703ba12f63c6cad94e0cc5a6f8f">stan::math</a>
+</li>
+<li>mdivide_left_spd()
+: <a class="el" href="namespacestan_1_1math.html#af0e78140ced17ce9be79c29b9f23321b">stan::math</a>
+</li>
+<li>mdivide_left_tri()
+: <a class="el" href="namespacestan_1_1math.html#ab9ef591181f40598fd3c012c6e5e354d">stan::math</a>
+</li>
+<li>mdivide_left_tri_low()
+: <a class="el" href="namespacestan_1_1math.html#a7eb79c8ce7ae730ba02342b4241aeac1">stan::math</a>
+</li>
+<li>mdivide_right()
+: <a class="el" href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">stan::math</a>
+</li>
+<li>mdivide_right_ldlt()
+: <a class="el" href="namespacestan_1_1math.html#ad9f8ca30a27a0a70d32477a9fb4c4e25">stan::math</a>
+</li>
+<li>mdivide_right_spd()
+: <a class="el" href="namespacestan_1_1math.html#ab73c90537220c0205f5355895a14621c">stan::math</a>
+</li>
+<li>mdivide_right_tri()
+: <a class="el" href="namespacestan_1_1math.html#a43a692492445dff37a2594267d530796">stan::math</a>
+</li>
+<li>mdivide_right_tri_low()
+: <a class="el" href="namespacestan_1_1math.html#a5309461c7fc32ca494e80af0722766af">stan::math</a>
+</li>
+<li>mean()
+: <a class="el" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">stan::math</a>
+</li>
+<li>min()
+: <a class="el" href="namespacestan_1_1math.html#a3f076860549f63d55c0e4985dce78099">stan::math</a>
+</li>
+<li>MINOR_VERSION
+: <a class="el" href="namespacestan_1_1math.html#a60295ca22b8701af9a3ccf3b607231f4">stan::math</a>
+</li>
+<li>minus()
+: <a class="el" href="namespacestan_1_1math.html#a87b343d6dc12982c2b76c453650c0797">stan::math</a>
+</li>
+<li>modified_bessel_first_kind()
+: <a class="el" href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">stan::math</a>
+</li>
+<li>modified_bessel_second_kind()
+: <a class="el" href="namespacestan_1_1math.html#a3277f8bf3ed3b3e36a61dedd4ed0449b">stan::math</a>
+</li>
+<li>modulus()
+: <a class="el" href="namespacestan_1_1math.html#afcf62df7cae63f67b1c5c67651bc8dcf">stan::math</a>
+</li>
+<li>multi_gp_cholesky_log()
+: <a class="el" href="namespacestan_1_1math.html#a07d240bac837d28cf3d5922de0271cf8">stan::math</a>
+</li>
+<li>multi_gp_log()
+: <a class="el" href="namespacestan_1_1math.html#a3535a644a9ec735e4c5ed0951909d1ab">stan::math</a>
+</li>
+<li>multi_normal_cholesky_log()
+: <a class="el" href="namespacestan_1_1math.html#a73c48789407296b1fd9497d3e27ef26d">stan::math</a>
+</li>
+<li>multi_normal_cholesky_rng()
+: <a class="el" href="namespacestan_1_1math.html#a37a359079d7b7324ec30bcf91755ebd6">stan::math</a>
+</li>
+<li>multi_normal_log()
+: <a class="el" href="namespacestan_1_1math.html#a69fa873591f0954b506eb709537a73f8">stan::math</a>
+</li>
+<li>multi_normal_prec_log()
+: <a class="el" href="namespacestan_1_1math.html#a83fb51aaff3da3d727bc12a3cdd106c5">stan::math</a>
+</li>
+<li>multi_normal_rng()
+: <a class="el" href="namespacestan_1_1math.html#aefcc0f0ea45582c996a1a4107aa603c6">stan::math</a>
+</li>
+<li>multi_student_t_log()
+: <a class="el" href="namespacestan_1_1math.html#ac7b9a72ca7018cbf7883d7104345b4f6">stan::math</a>
+</li>
+<li>multi_student_t_rng()
+: <a class="el" href="namespacestan_1_1math.html#a62ca08f9f743eddc410f87ee2621d653">stan::math</a>
+</li>
+<li>multinomial_log()
+: <a class="el" href="namespacestan_1_1math.html#a65b47c026be99de35988287412664e3d">stan::math</a>
+</li>
+<li>multinomial_rng()
+: <a class="el" href="namespacestan_1_1math.html#a99ab77cc7ea8b9f49a61abe7576c8331">stan::math</a>
+</li>
+<li>multiply()
+: <a class="el" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math</a>
+</li>
+<li>multiply_log()
+: <a class="el" href="namespacestan_1_1math.html#aa05bd638024e60440e56c8ee4a0dbab3">stan::math</a>
+</li>
+<li>multiply_lower_tri_self_transpose()
+: <a class="el" href="namespacestan_1_1math.html#a6f4d12daa275a9a471974f6447396266">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Namespace Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
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+  $(document).ready(function() { init_search(); });
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+</table>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+      <li class="current"><a href="namespaces.html"><span>Namespaces</span></a></li>
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+    <ul class="tablist">
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+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
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+      <li><a href="namespacemembers.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_m.html#index_m"><span>m</span></a></li>
+      <li class="current"><a href="namespacemembers_n.html#index_n"><span>n</span></a></li>
+      <li><a href="namespacemembers_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
+    </ul>
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+</div><!-- top -->
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+<!-- iframe showing the search results (closed by default) -->
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>neg_binomial_2_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a63d35a349ee49712178c19dde27fcc5d">stan::math</a>
+</li>
+<li>neg_binomial_2_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a6bc7b5ee1f4534f7c6eb509f08c1dd8b">stan::math</a>
+</li>
+<li>neg_binomial_2_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ade0a4ada20d2611ea7b7c717bcfd42ad">stan::math</a>
+</li>
+<li>neg_binomial_2_log()
+: <a class="el" href="namespacestan_1_1math.html#a72735047f883b88395f4e50e515140d2">stan::math</a>
+</li>
+<li>neg_binomial_2_log_log()
+: <a class="el" href="namespacestan_1_1math.html#a07f9603fcb9767d59c7aa75cfbd489e9">stan::math</a>
+</li>
+<li>neg_binomial_2_log_rng()
+: <a class="el" href="namespacestan_1_1math.html#a626a27ed755b59249175c99dd2548ea3">stan::math</a>
+</li>
+<li>neg_binomial_2_rng()
+: <a class="el" href="namespacestan_1_1math.html#a1088da4c2c0c2b157862fbad43c75d0a">stan::math</a>
+</li>
+<li>neg_binomial_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a176323fd45f7f70cf9fa801310c3c614">stan::math</a>
+</li>
+<li>neg_binomial_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a31e90bd5f65cafdcd66b41617bf31718">stan::math</a>
+</li>
+<li>neg_binomial_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a51e5ebf37ccf49350280631039a23017">stan::math</a>
+</li>
+<li>neg_binomial_log()
+: <a class="el" href="namespacestan_1_1math.html#a5b3f283f0d71f78bb437e1e1c4fdb805">stan::math</a>
+</li>
+<li>neg_binomial_rng()
+: <a class="el" href="namespacestan_1_1math.html#a898e2ab003c78229367378b150c78aca">stan::math</a>
+</li>
+<li>NEG_LOG_PI
+: <a class="el" href="namespacestan_1_1math.html#a0f964e25c3ad3515549ead08428ff7cf">stan::math</a>
+</li>
+<li>NEG_LOG_SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#afb4a282e2196987e10d2bb65f12ec55a">stan::math</a>
+</li>
+<li>NEG_LOG_SQRT_TWO_PI
+: <a class="el" href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">stan::math</a>
+</li>
+<li>NEG_LOG_TWO
+: <a class="el" href="namespacestan_1_1math.html#aa546788809cd7f0be4a9872bc8009325">stan::math</a>
+</li>
+<li>NEG_LOG_TWO_OVER_TWO
+: <a class="el" href="namespacestan_1_1math.html#a9b0bc03717322aa20ea2be9d6e488738">stan::math</a>
+</li>
+<li>NEG_LOG_TWO_PI
+: <a class="el" href="namespacestan_1_1math.html#a2fc867325cdad6b9dcc2e7443ddf5956">stan::math</a>
+</li>
+<li>NEG_TWO_OVER_SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#a344504ea0c1f4f956c85ea8027a07ba9">stan::math</a>
+</li>
+<li>NEGATIVE_EPSILON
+: <a class="el" href="namespacestan_1_1math.html#a1dcea3a9752d079c9f972040b873b704">stan::math</a>
+</li>
+<li>negative_infinity()
+: <a class="el" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math</a>
+</li>
+<li>NEGATIVE_INFTY
+: <a class="el" href="namespacestan_1_1math.html#aa37d0f67f02e0a0b5797ed9f4df56bfb">stan::math</a>
+</li>
+<li>nested_size()
+: <a class="el" href="namespacestan_1_1math.html#ac0f68ac575a2b8dff3a7a2359962c607">stan::math</a>
+</li>
+<li>normal_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a2214490cfe7d81bdc51318028cd7df94">stan::math</a>
+</li>
+<li>normal_cdf()
+: <a class="el" href="namespacestan_1_1math.html#aa2b9ee666af5f1741dc9f75108176386">stan::math</a>
+</li>
+<li>normal_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a6d0b3b3339016b3282cf360feb7cd0f9">stan::math</a>
+</li>
+<li>normal_log()
+: <a class="el" href="namespacestan_1_1math.html#afc2fd29076680ce830285130b5fd6f81">stan::math</a>
+</li>
+<li>normal_rng()
+: <a class="el" href="namespacestan_1_1math.html#ac70652885c9903a1122575590075bc78">stan::math</a>
+</li>
+<li>NOT_A_NUMBER
+: <a class="el" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math</a>
+</li>
+<li>not_a_number()
+: <a class="el" href="namespacestan_1_1math.html#a381493bccc58bd993d797a2a5458c486">stan::math</a>
+</li>
+<li>num_elements()
+: <a class="el" href="namespacestan_1_1math.html#ac360c5b10dbf87d81e346f2be7d19ade">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  $(document).ready(function() { init_search(); });
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+  <div id="navrow1" class="tabs">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li class="current"><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li><a href="annotated.html"><span>Classes</span></a></li>
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
+      <li class="current"><a href="namespacemembers.html"><span>Namespace&#160;Members</span></a></li>
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+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="namespacemembers.html"><span>All</span></a></li>
+      <li><a href="namespacemembers_func.html"><span>Functions</span></a></li>
+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
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+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="namespacemembers.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_m.html#index_m"><span>m</span></a></li>
+      <li><a href="namespacemembers_n.html#index_n"><span>n</span></a></li>
+      <li class="current"><a href="namespacemembers_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
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+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
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+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_o"></a>- o -</h3><ul>
+<li>operator!()
+: <a class="el" href="namespacestan_1_1math.html#aeee31e071296bea410dd943347b9a65d">stan::math</a>
+</li>
+<li>operator!=()
+: <a class="el" href="namespacestan_1_1math.html#a65438bf17da7bbedb06bc7c381cea865">stan::math</a>
+</li>
+<li>operator*()
+: <a class="el" href="namespacestan_1_1math.html#afcc9ba66175e049c6020fe363231d694">stan::math</a>
+</li>
+<li>operator+()
+: <a class="el" href="namespacestan_1_1math.html#adbceec5a6822fd0c58529d6f64208f3b">stan::math</a>
+</li>
+<li>operator++()
+: <a class="el" href="namespacestan_1_1math.html#aab33c64042765d924f07e7490788e6d4">stan::math</a>
+</li>
+<li>operator-()
+: <a class="el" href="namespacestan_1_1math.html#a6a200e70e0f2b422b6623cf4b19d04da">stan::math</a>
+</li>
+<li>operator--()
+: <a class="el" href="namespacestan_1_1math.html#abcadc96f506e9f1408647cdce4d09092">stan::math</a>
+</li>
+<li>operator/()
+: <a class="el" href="namespacestan_1_1math.html#a1eba6f623c3c2c0714e2eabbae90290f">stan::math</a>
+</li>
+<li>operator&lt;()
+: <a class="el" href="namespacestan_1_1math.html#aec5a959d8186caa585d5922a4facf649">stan::math</a>
+</li>
+<li>operator&lt;=()
+: <a class="el" href="namespacestan_1_1math.html#a450ef8aaef08c3137f70a087ae3905c6">stan::math</a>
+</li>
+<li>operator==()
+: <a class="el" href="namespacestan_1_1math.html#a15161ab182b02d135f79a13d68c7318d">stan::math</a>
+</li>
+<li>operator&gt;()
+: <a class="el" href="namespacestan_1_1math.html#a465afbe6fb2692b02b60d9760e5cbda9">stan::math</a>
+</li>
+<li>operator&gt;=()
+: <a class="el" href="namespacestan_1_1math.html#a938fb84cef113596828ad131e513fa1e">stan::math</a>
+</li>
+<li>ordered_constrain()
+: <a class="el" href="namespacestan_1_1math.html#ae5638796e15590c237b7eaece1531631">stan::math</a>
+</li>
+<li>ordered_free()
+: <a class="el" href="namespacestan_1_1math.html#a679b3a9baaf02aeee0c15d763efa06b0">stan::math</a>
+</li>
+<li>ordered_logistic_log()
+: <a class="el" href="namespacestan_1_1math.html#a5623d34d128b956b6dfb2031150c8c87">stan::math</a>
+</li>
+<li>ordered_logistic_rng()
+: <a class="el" href="namespacestan_1_1math.html#a432a3d83d286fe609fc79c6ef4f8ea74">stan::math</a>
+</li>
+<li>out_of_range()
+: <a class="el" href="namespacestan_1_1math.html#a34583d3983ee4d61d09004ce3e278250">stan::math</a>
+</li>
+<li>owens_t()
+: <a class="el" href="namespacestan_1_1math.html#a316ab3b95493d045d77de4f8b96ed56a">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/namespacemembers_p.html b/doc/api/html/namespacemembers_p.html
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+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Namespace Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="search/searchdata.js"></script>
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+  $(document).ready(function() { init_search(); });
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
+      <li class="current"><a href="namespacemembers.html"><span>Namespace&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
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+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="namespacemembers.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
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+      <li><a href="namespacemembers_o.html#index_o"><span>o</span></a></li>
+      <li class="current"><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_t.html#index_t"><span>t</span></a></li>
+      <li><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>pareto_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ae265a3d80fc60a58c6642e3cb32e5a3e">stan::math</a>
+</li>
+<li>pareto_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a04334b6b9aefbc902c156c6ebabd1b7f">stan::math</a>
+</li>
+<li>pareto_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a32b395deb308bc16b82587a97bfb1eba">stan::math</a>
+</li>
+<li>pareto_log()
+: <a class="el" href="namespacestan_1_1math.html#a4eefb96c196d0c61694de1fda5d9a8c6">stan::math</a>
+</li>
+<li>pareto_rng()
+: <a class="el" href="namespacestan_1_1math.html#a624fd25c2bd925d2b96971c70b695245">stan::math</a>
+</li>
+<li>pareto_type_2_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ab4f7adad4637fb745bceb3be2db2c6d2">stan::math</a>
+</li>
+<li>pareto_type_2_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a6aa9090877913c41608ec9edc7644718">stan::math</a>
+</li>
+<li>pareto_type_2_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#acc69970c0086687e5c19c7c3d4fe5108">stan::math</a>
+</li>
+<li>pareto_type_2_log()
+: <a class="el" href="namespacestan_1_1math.html#a078e211e38ac272092603cdf728f3f02">stan::math</a>
+</li>
+<li>pareto_type_2_rng()
+: <a class="el" href="namespacestan_1_1math.html#af55974320ebae90f0e36341934d8a57b">stan::math</a>
+</li>
+<li>partial_derivative()
+: <a class="el" href="namespacestan_1_1math.html#af75dae6137f91377c351b2f648b1c18e">stan::math</a>
+</li>
+<li>PATCH_VERSION
+: <a class="el" href="namespacestan_1_1math.html#ad4c620fffa8fa7ddd68ffb46fb64667b">stan::math</a>
+</li>
+<li>Phi()
+: <a class="el" href="namespacestan_1_1math.html#ac85644bbd92359d699f374adea62c643">stan::math</a>
+</li>
+<li>Phi_approx()
+: <a class="el" href="namespacestan_1_1math.html#a6cf4bf2074175fd7bcde43f9f94e4d16">stan::math</a>
+</li>
+<li>pi()
+: <a class="el" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math</a>
+</li>
+<li>poisson_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#ad069a055750c038c054eb7ecabfb53bf">stan::math</a>
+</li>
+<li>poisson_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a84009ffe822acedc6362015fd08107be">stan::math</a>
+</li>
+<li>poisson_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#acc9138a37ffe00ff85c6824447e85db1">stan::math</a>
+</li>
+<li>poisson_log()
+: <a class="el" href="namespacestan_1_1math.html#ae7a95ee36796c1a077510303bb2535c2">stan::math</a>
+</li>
+<li>poisson_log_log()
+: <a class="el" href="namespacestan_1_1math.html#a4a06118d9d96bde7ee5d8c28eb08e5ec">stan::math</a>
+</li>
+<li>poisson_log_rng()
+: <a class="el" href="namespacestan_1_1math.html#ac3cdc8d2997b25f9ed799555ecf37106">stan::math</a>
+</li>
+<li>POISSON_MAX_RATE
+: <a class="el" href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">stan::math</a>
+</li>
+<li>poisson_rng()
+: <a class="el" href="namespacestan_1_1math.html#a8f7aaf7ee5cf0eb93778d7f30db23834">stan::math</a>
+</li>
+<li>positive_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a9f9c43fc857272a76bb4030122ac91ed">stan::math</a>
+</li>
+<li>positive_free()
+: <a class="el" href="namespacestan_1_1math.html#a6a20798b12abb29d73f7391168f836f9">stan::math</a>
+</li>
+<li>positive_infinity()
+: <a class="el" href="namespacestan_1_1math.html#a34675a70d3df614d88d33ddbdd49b49a">stan::math</a>
+</li>
+<li>positive_ordered_constrain()
+: <a class="el" href="namespacestan_1_1math.html#ada937f012b7d54cebdf8d9414f6fdbad">stan::math</a>
+</li>
+<li>positive_ordered_free()
+: <a class="el" href="namespacestan_1_1math.html#af81e69a15e82f86eefba93f8dcd3966e">stan::math</a>
+</li>
+<li>pow()
+: <a class="el" href="namespacestan_1_1math.html#aff1b3f97cd1cf4c7391d160f9a3db4f6">stan::math</a>
+</li>
+<li>precomputed_gradients()
+: <a class="el" href="namespacestan_1_1math.html#a2ae0c4c9c64db8bb166f67caf352b35f">stan::math</a>
+</li>
+<li>primitive_value()
+: <a class="el" href="namespacestan_1_1math.html#af8cbc3a490edf340544fb12df544269e">stan::math</a>
+</li>
+<li>print_mat_size()
+: <a class="el" href="namespacestan_1_1math.html#aa8f00af063b839677434c6a0f92629a3">stan::math</a>
+</li>
+<li>print_stack()
+: <a class="el" href="namespacestan_1_1math.html#a0611cecb5356e187818c1901134c7665">stan::math</a>
+</li>
+<li>prob_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a3b5c8822124337e5d000cfa60046c5fa">stan::math</a>
+</li>
+<li>prob_free()
+: <a class="el" href="namespacestan_1_1math.html#a533afff719fe3e21bf53d2fa53d2fbe3">stan::math</a>
+</li>
+<li>prod()
+: <a class="el" href="namespacestan_1_1math.html#a1649a895ec6e79097d5645a3f8b8a1e6">stan::math</a>
+</li>
+<li>promote_common()
+: <a class="el" href="namespacestan_1_1math.html#a300cf63dd3332cff2161fdc32aec4026">stan::math</a>
+</li>
+<li>promote_scalar()
+: <a class="el" href="namespacestan_1_1math.html#a4815c45c3f87ea98453880863e3a0b94">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
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+      <li><a href="modules.html"><span>Modules</span></a></li>
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+  <div id="navrow2" class="tabs2">
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+    </ul>
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+  <div id="navrow3" class="tabs2">
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+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
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+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
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+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_q"></a>- q -</h3><ul>
+<li>qr_Q()
+: <a class="el" href="namespacestan_1_1math.html#a4badef735ea8b1cbfca31cbe49a534cf">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#aebb8132560117eeef1a07ced4b144598">stan::math</a>
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+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
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+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
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+<h3><a class="anchor" id="index_r"></a>- r -</h3><ul>
+<li>rank()
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+: <a class="el" href="namespacestan_1_1math.html#ac61a9b8f4000b9e69bf2d1dcfb34c984">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#a05401bf8bb7f886d11b1ee90495fe153">stan::math</a>
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+<li>rows()
+: <a class="el" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">stan::math</a>
+</li>
+<li>rows_dot_product()
+: <a class="el" href="namespacestan_1_1math.html#aab5f5461d67d595a0c0fd720ae6cd6bd">stan::math</a>
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+<li>rows_dot_self()
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+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>scaled_add()
+: <a class="el" href="namespacestan_1_1math.html#a2eb786f14699d69c39cfdd49893a8006">stan::math</a>
+</li>
+<li>scaled_inv_chi_square_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a4fefbbf10f04d62902c383f26d98eaee">stan::math</a>
+</li>
+<li>scaled_inv_chi_square_cdf()
+: <a class="el" href="namespacestan_1_1math.html#aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb">stan::math</a>
+</li>
+<li>scaled_inv_chi_square_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a6f8d0c1c0ea0a346e972a2b461fb2b51">stan::math</a>
+</li>
+<li>scaled_inv_chi_square_log()
+: <a class="el" href="namespacestan_1_1math.html#aa760eab5a913100acb5ad73851ec520f">stan::math</a>
+</li>
+<li>scaled_inv_chi_square_rng()
+: <a class="el" href="namespacestan_1_1math.html#aefb144e1487af0dcab52c5f47fcbc93f">stan::math</a>
+</li>
+<li>sd()
+: <a class="el" href="namespacestan_1_1math.html#a34fd02fe795ea38c98f4a02befed309f">stan::math</a>
+</li>
+<li>segment()
+: <a class="el" href="namespacestan_1_1math.html#ad87f51c66f702f242b3c5d207896f5d8">stan::math</a>
+</li>
+<li>set_zero_all_adjoints()
+: <a class="el" href="namespacestan_1_1math.html#a9614efc6fd66533b74b43ddb69f21d3b">stan::math</a>
+</li>
+<li>set_zero_all_adjoints_nested()
+: <a class="el" href="namespacestan_1_1math.html#af13a9b09e0bebb14eb30f3c78a95a160">stan::math</a>
+</li>
+<li>sign()
+: <a class="el" href="namespacestan_1_1math.html#ad825f81b97ddf0b2e1217f30913559a3">stan::math</a>
+</li>
+<li>simplex_constrain()
+: <a class="el" href="namespacestan_1_1math.html#a6341abfdbb8a7f35432a73f27b131688">stan::math</a>
+</li>
+<li>simplex_free()
+: <a class="el" href="namespacestan_1_1math.html#a110fab43edbb2ebb9206643900083971">stan::math</a>
+</li>
+<li>sin()
+: <a class="el" href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">stan::math</a>
+</li>
+<li>singular_values()
+: <a class="el" href="namespacestan_1_1math.html#a56518b3d36f8b7ce72c9b8f4b77c8f22">stan::math</a>
+</li>
+<li>sinh()
+: <a class="el" href="namespacestan_1_1math.html#a646a34790ca2b692b2a8c74c4e4fb726">stan::math</a>
+</li>
+<li>size()
+: <a class="el" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math</a>
+</li>
+<li>size_of()
+: <a class="el" href="namespacestan.html#a4741beaf7ec88631fd2735cadf05365f">stan</a>
+</li>
+<li>size_type
+: <a class="el" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math</a>
+</li>
+<li>skew_normal_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a764774344adc0fc192a79bb25cab62ea">stan::math</a>
+</li>
+<li>skew_normal_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a4619194e1d367590916fb133f99385a7">stan::math</a>
+</li>
+<li>skew_normal_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a244e671c45143752fe0d8e50dd8d64dd">stan::math</a>
+</li>
+<li>skew_normal_log()
+: <a class="el" href="namespacestan_1_1math.html#a063fa4970b1aced1fe47505e950c5ff9">stan::math</a>
+</li>
+<li>skew_normal_rng()
+: <a class="el" href="namespacestan_1_1math.html#ae20ce3e4d117da5792ace24dfc92b1ea">stan::math</a>
+</li>
+<li>softmax()
+: <a class="el" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">stan::math</a>
+</li>
+<li>sort_asc()
+: <a class="el" href="namespacestan_1_1math.html#a941784bb46a4a2fabf3deacebbd71ec5">stan::math</a>
+</li>
+<li>sort_desc()
+: <a class="el" href="namespacestan_1_1math.html#a7c06412237c5d6879a4c07f0706303e9">stan::math</a>
+</li>
+<li>sort_indices_asc()
+: <a class="el" href="namespacestan_1_1math.html#a4a13ccb29cba05ef0daa9712ee9bf7a3">stan::math</a>
+</li>
+<li>sort_indices_desc()
+: <a class="el" href="namespacestan_1_1math.html#a27f6f9085eb850e9e0fcb98df345aeba">stan::math</a>
+</li>
+<li>sqrt()
+: <a class="el" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math</a>
+</li>
+<li>sqrt2()
+: <a class="el" href="namespacestan_1_1math.html#a1369f60a09e3af4933096de3a54ac28c">stan::math</a>
+</li>
+<li>SQRT_2
+: <a class="el" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math</a>
+</li>
+<li>SQRT_2_TIMES_SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#aa628c5af5a85d53472f0126fcca44524">stan::math</a>
+</li>
+<li>SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">stan::math</a>
+</li>
+<li>square()
+: <a class="el" href="namespacestan_1_1math.html#a056b82f11f784f321bce2c5677089e24">stan::math</a>
+</li>
+<li>squared_distance()
+: <a class="el" href="namespacestan_1_1math.html#aa5483c9ea2644a3b127b36f32668bbec">stan::math</a>
+</li>
+<li>stan_print()
+: <a class="el" href="namespacestan_1_1math.html#aab45f57a15327ae4f94a1aef0bcd869f">stan::math</a>
+</li>
+<li>start_nested()
+: <a class="el" href="namespacestan_1_1math.html#ad4a72c89ed9143a7760cc3611e8a0df0">stan::math</a>
+</li>
+<li>step()
+: <a class="el" href="namespacestan_1_1math.html#a8fdc5e5ba8e306c2a594e928bfd62ea2">stan::math</a>
+</li>
+<li>student_t_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#aa7330bcb373ce5df4f6cedb70d4ba571">stan::math</a>
+</li>
+<li>student_t_cdf()
+: <a class="el" href="namespacestan_1_1math.html#a6c3707b197842a840217b04e3cc1b0da">stan::math</a>
+</li>
+<li>student_t_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a0cf7b73942cfee4fec76599b966796d1">stan::math</a>
+</li>
+<li>student_t_log()
+: <a class="el" href="namespacestan_1_1math.html#a20962dd5b3da2477c4c2a9170904fb27">stan::math</a>
+</li>
+<li>student_t_rng()
+: <a class="el" href="namespacestan_1_1math.html#a4d151fedbd83f49080ef17c148ef1dad">stan::math</a>
+</li>
+<li>sub()
+: <a class="el" href="namespacestan_1_1math.html#a9e4c5e5b76b18a41b28f646104b3cd46">stan::math</a>
+</li>
+<li>sub_col()
+: <a class="el" href="namespacestan_1_1math.html#a943cb439569c2dc588661a1cc171e2d2">stan::math</a>
+</li>
+<li>sub_row()
+: <a class="el" href="namespacestan_1_1math.html#a019d635ee39f24b69c3f27e96bba4be1">stan::math</a>
+</li>
+<li>subtract()
+: <a class="el" href="namespacestan_1_1math.html#a9a8a3f79fa67648f8145c6692d19334b">stan::math</a>
+</li>
+<li>sum()
+: <a class="el" href="namespacestan_1_1math.html#a03ac5708411da911ccf11be4a5f511f5">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>tail()
+: <a class="el" href="namespacestan_1_1math.html#a55548f1b502d1dd6283268b79fc41507">stan::math</a>
+</li>
+<li>tan()
+: <a class="el" href="namespacestan_1_1math.html#ae09b685b660830075f80caaf8a350676">stan::math</a>
+</li>
+<li>tanh()
+: <a class="el" href="namespacestan_1_1math.html#ae11dc45fd471bec1a19462ce58f434b8">stan::math</a>
+</li>
+<li>tcrossprod()
+: <a class="el" href="namespacestan_1_1math.html#ab379e9a9f74dab16c41d82978cc4b58e">stan::math</a>
+</li>
+<li>tgamma()
+: <a class="el" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">stan::math</a>
+</li>
+<li>to_array_1d()
+: <a class="el" href="namespacestan_1_1math.html#aa21ef8b682892947fbb2059e137d03dd">stan::math</a>
+</li>
+<li>to_array_2d()
+: <a class="el" href="namespacestan_1_1math.html#a3a169380be20289fd7824baa5060cffb">stan::math</a>
+</li>
+<li>to_fvar()
+: <a class="el" href="namespacestan_1_1math.html#a1e3e1362a4de8a9143246413e9bf9e99">stan::math</a>
+</li>
+<li>to_matrix()
+: <a class="el" href="namespacestan_1_1math.html#a1c5c1dfd195623ec3ff7343d3f24e968">stan::math</a>
+</li>
+<li>to_row_vector()
+: <a class="el" href="namespacestan_1_1math.html#af1825eca21dc8549e0a785a3d3a44e83">stan::math</a>
+</li>
+<li>to_var()
+: <a class="el" href="namespacestan_1_1math.html#a23a0b6d855303036d196c5b3ccb1a320">stan::math</a>
+</li>
+<li>to_vector()
+: <a class="el" href="namespacestan_1_1math.html#ab76ae6751295de2d9e1961eea42dc631">stan::math</a>
+</li>
+<li>trace()
+: <a class="el" href="namespacestan_1_1math.html#a8fb2aa245d794e2a6c352038f4811a37">stan::math</a>
+</li>
+<li>trace_gen_inv_quad_form_ldlt()
+: <a class="el" href="namespacestan_1_1math.html#a03da89fcbd2829c84a5beeb9ccbf2ccf">stan::math</a>
+</li>
+<li>trace_gen_quad_form()
+: <a class="el" href="namespacestan_1_1math.html#a09d402800ee27ba77d03dc3ec365d22e">stan::math</a>
+</li>
+<li>trace_inv_quad_form_ldlt()
+: <a class="el" href="namespacestan_1_1math.html#a04f24e9594341db1cc4ceaf5a69f039b">stan::math</a>
+</li>
+<li>trace_quad_form()
+: <a class="el" href="namespacestan_1_1math.html#a9bd6d656aebcc1a3937996a31c937a54">stan::math</a>
+</li>
+<li>transpose()
+: <a class="el" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">stan::math</a>
+</li>
+<li>trigamma()
+: <a class="el" href="namespacestan_1_1math.html#ab18c21bad37c9af26424d0922936355e">stan::math</a>
+</li>
+<li>trunc()
+: <a class="el" href="namespacestan_1_1math.html#a80e85e1eba4076438c72cd986fde40e8">stan::math</a>
+</li>
+<li>TWO_OVER_SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#a935530f53a026ebb80fcd9006059e9c8">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+  <div id="navrow3" class="tabs2">
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+        name="MSearchResults" id="MSearchResults">
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+
+<div class="contents">
+&#160;<ul>
+<li>ChainableStack
+: <a class="el" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">stan::math</a>
+</li>
+<li>matrix_d
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+</li>
+<li>matrix_fd
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+</li>
+<li>vector_fd
+: <a class="el" href="namespacestan_1_1math.html#a961a316bf3b39b578ec6382096da3e9a">stan::math</a>
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+: <a class="el" href="namespacestan_1_1math.html#ab1d0aff99d591327d929ee87054978ce">stan::math</a>
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+<li>vector_fv
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </span>
+</div>
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<script type="text/javascript" src="dynsections.js"></script>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- Generated by Doxygen 1.8.10 -->
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+  <div id="navrow3" class="tabs2">
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+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
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+  <div id="navrow4" class="tabs3">
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+      <li><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
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+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
+      <li><a href="namespacemembers_t.html#index_t"><span>t</span></a></li>
+      <li class="current"><a href="namespacemembers_u.html#index_u"><span>u</span></a></li>
+      <li><a href="namespacemembers_v.html#index_v"><span>v</span></a></li>
+      <li><a href="namespacemembers_w.html#index_w"><span>w</span></a></li>
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+  </div>
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+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_u"></a>- u -</h3><ul>
+<li>ub_constrain()
+: <a class="el" href="namespacestan_1_1math.html#ad9440f04c389ecf55094919dd4a29561">stan::math</a>
+</li>
+<li>ub_free()
+: <a class="el" href="namespacestan_1_1math.html#ac11bdd8c7f6eed39bbac5a663c8a81bc">stan::math</a>
+</li>
+<li>uniform_ccdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a5e2b8fa3c8f27cf5fe06e35971810d52">stan::math</a>
+</li>
+<li>uniform_cdf()
+: <a class="el" href="namespacestan_1_1math.html#aa15c5027f6cc08a719ce42c82f42e8ab">stan::math</a>
+</li>
+<li>uniform_cdf_log()
+: <a class="el" href="namespacestan_1_1math.html#a8f377bbfcb2c65d7c9b22f2a007cdc71">stan::math</a>
+</li>
+<li>uniform_log()
+: <a class="el" href="namespacestan_1_1math.html#a9c32b2aba8ca5e5eb4ebe76fd1f9a832">stan::math</a>
+</li>
+<li>uniform_rng()
+: <a class="el" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">stan::math</a>
+</li>
+<li>unit_vector_constrain()
+: <a class="el" href="namespacestan_1_1math.html#ab02536354716bc493098010f66db1209">stan::math</a>
+</li>
+<li>unit_vector_free()
+: <a class="el" href="namespacestan_1_1math.html#a65fb60ad466e375f68798ff25881e378">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
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+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
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+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+<div class="textblock">Here is a list of all namespace members with links to the namespace documentation for each member:</div>
+
+<h3><a class="anchor" id="index_v"></a>- v -</h3><ul>
+<li>validate_non_negative_index()
+: <a class="el" href="namespacestan_1_1math.html#abb591fca3d88d2a5d587ce6172b62bf4">stan::math</a>
+</li>
+<li>value_of()
+: <a class="el" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math</a>
+</li>
+<li>value_of&lt; double &gt;()
+: <a class="el" href="namespacestan_1_1math.html#a2d7774df98215b7d113075019d74ebbf">stan::math</a>
+</li>
+<li>value_of_rec()
+: <a class="el" href="namespacestan_1_1math.html#ab481d22f60e4cb93d629ac5d9f43bb00">stan::math</a>
+</li>
+<li>value_of_rec&lt; double &gt;()
+: <a class="el" href="namespacestan_1_1math.html#a7bb47fffd6ec0b1864d5e8bf0b99cf55">stan::math</a>
+</li>
+<li>variance()
+: <a class="el" href="namespacestan_1_1math.html#aa433ac2fc47bbd40a6d87f62574dff85">stan::math</a>
+</li>
+<li>vector_d
+: <a class="el" href="namespacestan_1_1math.html#ac9e96c15b87fbd704ab9bcf77e7597db">stan::math</a>
+</li>
+<li>vector_fd
+: <a class="el" href="namespacestan_1_1math.html#a961a316bf3b39b578ec6382096da3e9a">stan::math</a>
+</li>
+<li>vector_ffd
+: <a class="el" href="namespacestan_1_1math.html#a846bbc633c1a4c67cd805bbf61f42be0">stan::math</a>
+</li>
+<li>vector_ffv
+: <a class="el" href="namespacestan_1_1math.html#ab1d0aff99d591327d929ee87054978ce">stan::math</a>
+</li>
+<li>vector_fv
+: <a class="el" href="namespacestan_1_1math.html#a5065cc81264dfe941f8e9a3ecfe5ee85">stan::math</a>
+</li>
+<li>vector_v
+: <a class="el" href="namespacestan_1_1math.html#aa7d3137027b10bc7758d4c1763b58a8e">stan::math</a>
+</li>
+<li>von_mises_log()
+: <a class="el" href="namespacestan_1_1math.html#a8a06353ba5a996ebfc43ec69decf9fb9">stan::math</a>
+</li>
+<li>von_mises_rng()
+: <a class="el" href="namespacestan_1_1math.html#a71998db3e6cfebf31463452f99878b99">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/namespacemembers_vars.html b/doc/api/html/namespacemembers_vars.html
new file mode 100644
index 00000000000..3f5758ad473
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+++ b/doc/api/html/namespacemembers_vars.html
@@ -0,0 +1,257 @@
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Namespace Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
+</script>
+  <div id="navrow1" class="tabs">
+    <ul class="tablist">
+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li class="current"><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
+      <li>
+        <div id="MSearchBox" class="MSearchBoxInactive">
+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
+               onmouseout="return searchBox.OnSearchSelectHide()"
+               alt=""/>
+          <input type="text" id="MSearchField" value="Search" accesskey="S"
+               onfocus="searchBox.OnSearchFieldFocus(true)" 
+               onblur="searchBox.OnSearchFieldFocus(false)" 
+               onkeyup="searchBox.OnSearchFieldChange(event)"/>
+          </span><span class="right">
+            <a id="MSearchClose" href="javascript:searchBox.CloseResultsWindow()"><img id="MSearchCloseImg" border="0" src="search/close.png" alt=""/></a>
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+      </li>
+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
+      <li class="current"><a href="namespacemembers.html"><span>Namespace&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespacemembers.html"><span>All</span></a></li>
+      <li><a href="namespacemembers_func.html"><span>Functions</span></a></li>
+      <li class="current"><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow4" class="tabs3">
+    <ul class="tablist">
+      <li><a href="#index_c"><span>c</span></a></li>
+      <li><a href="#index_e"><span>e</span></a></li>
+      <li><a href="#index_i"><span>i</span></a></li>
+      <li><a href="#index_l"><span>l</span></a></li>
+      <li><a href="#index_m"><span>m</span></a></li>
+      <li><a href="#index_n"><span>n</span></a></li>
+      <li><a href="#index_p"><span>p</span></a></li>
+      <li><a href="#index_s"><span>s</span></a></li>
+      <li class="current"><a href="#index_t"><span>t</span></a></li>
+    </ul>
+  </div>
+</div><!-- top -->
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div class="contents">
+&#160;
+
+<h3><a class="anchor" id="index_c"></a>- c -</h3><ul>
+<li>CONSTRAINT_TOLERANCE
+: <a class="el" href="namespacestan_1_1math.html#aece739c5a2672028f0c7848045b89f08">stan::math</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_e"></a>- e -</h3><ul>
+<li>E
+: <a class="el" href="namespacestan_1_1math.html#a66f94e47c6dc073bbd3929903b4431fe">stan::math</a>
+</li>
+<li>EPSILON
+: <a class="el" href="namespacestan_1_1math.html#a5ffd625c2083751d7ccabb7dbe39cbe0">stan::math</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_i"></a>- i -</h3><ul>
+<li>INFTY
+: <a class="el" href="namespacestan_1_1math.html#a7f2ac8ebf3095e9934715bb34f0669b3">stan::math</a>
+</li>
+<li>INV_SQRT_2
+: <a class="el" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math</a>
+</li>
+<li>INV_SQRT_TWO_PI
+: <a class="el" href="namespacestan_1_1math.html#a44d54686aa26009d0e9101be42afd877">stan::math</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_l"></a>- l -</h3><ul>
+<li>LOG_10
+: <a class="el" href="namespacestan_1_1math.html#ab773773e2db53015eb48ab1730816fb5">stan::math</a>
+</li>
+<li>LOG_2
+: <a class="el" href="namespacestan_1_1math.html#a43fb48f0a7f26bc60c1dfb572283b149">stan::math</a>
+</li>
+<li>LOG_HALF
+: <a class="el" href="namespacestan_1_1math.html#a84525339d1870944d63c1cce6caa1af1">stan::math</a>
+</li>
+<li>LOG_PI
+: <a class="el" href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">stan::math</a>
+</li>
+<li>LOG_PI_OVER_FOUR
+: <a class="el" href="namespacestan_1_1math.html#a177764626d2378e0d7bdfb26aac187b6">stan::math</a>
+</li>
+<li>LOG_SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#ab836723c882918b6263042bdefa3c0d7">stan::math</a>
+</li>
+<li>LOG_TWO
+: <a class="el" href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">stan::math</a>
+</li>
+<li>LOG_TWO_PI
+: <a class="el" href="namespacestan_1_1math.html#a938e5d349b0ffdfdae9674f9dd4dbebe">stan::math</a>
+</li>
+<li>LOG_ZERO
+: <a class="el" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">stan::math</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_m"></a>- m -</h3><ul>
+<li>MAJOR_VERSION
+: <a class="el" href="namespacestan_1_1math.html#a8a063d6b0347cc193b69270211e8aadd">stan::math</a>
+</li>
+<li>MINOR_VERSION
+: <a class="el" href="namespacestan_1_1math.html#a60295ca22b8701af9a3ccf3b607231f4">stan::math</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_n"></a>- n -</h3><ul>
+<li>NEG_LOG_PI
+: <a class="el" href="namespacestan_1_1math.html#a0f964e25c3ad3515549ead08428ff7cf">stan::math</a>
+</li>
+<li>NEG_LOG_SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#afb4a282e2196987e10d2bb65f12ec55a">stan::math</a>
+</li>
+<li>NEG_LOG_SQRT_TWO_PI
+: <a class="el" href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">stan::math</a>
+</li>
+<li>NEG_LOG_TWO
+: <a class="el" href="namespacestan_1_1math.html#aa546788809cd7f0be4a9872bc8009325">stan::math</a>
+</li>
+<li>NEG_LOG_TWO_OVER_TWO
+: <a class="el" href="namespacestan_1_1math.html#a9b0bc03717322aa20ea2be9d6e488738">stan::math</a>
+</li>
+<li>NEG_LOG_TWO_PI
+: <a class="el" href="namespacestan_1_1math.html#a2fc867325cdad6b9dcc2e7443ddf5956">stan::math</a>
+</li>
+<li>NEG_TWO_OVER_SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#a344504ea0c1f4f956c85ea8027a07ba9">stan::math</a>
+</li>
+<li>NEGATIVE_EPSILON
+: <a class="el" href="namespacestan_1_1math.html#a1dcea3a9752d079c9f972040b873b704">stan::math</a>
+</li>
+<li>NEGATIVE_INFTY
+: <a class="el" href="namespacestan_1_1math.html#aa37d0f67f02e0a0b5797ed9f4df56bfb">stan::math</a>
+</li>
+<li>NOT_A_NUMBER
+: <a class="el" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">stan::math</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_p"></a>- p -</h3><ul>
+<li>PATCH_VERSION
+: <a class="el" href="namespacestan_1_1math.html#ad4c620fffa8fa7ddd68ffb46fb64667b">stan::math</a>
+</li>
+<li>POISSON_MAX_RATE
+: <a class="el" href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">stan::math</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_s"></a>- s -</h3><ul>
+<li>SQRT_2
+: <a class="el" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math</a>
+</li>
+<li>SQRT_2_TIMES_SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#aa628c5af5a85d53472f0126fcca44524">stan::math</a>
+</li>
+<li>SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">stan::math</a>
+</li>
+</ul>
+
+
+<h3><a class="anchor" id="index_t"></a>- t -</h3><ul>
+<li>TWO_OVER_SQRT_PI
+: <a class="el" href="namespacestan_1_1math.html#a935530f53a026ebb80fcd9006059e9c8">stan::math</a>
+</li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/namespacemembers_w.html b/doc/api/html/namespacemembers_w.html
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+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Namespace Members</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+      <li class="current"><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
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+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
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+    </ul>
+  </div>
+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
+      <li class="current"><a href="namespacemembers.html"><span>Namespace&#160;Members</span></a></li>
+    </ul>
+  </div>
+  <div id="navrow3" class="tabs2">
+    <ul class="tablist">
+      <li class="current"><a href="namespacemembers.html"><span>All</span></a></li>
+      <li><a href="namespacemembers_func.html"><span>Functions</span></a></li>
+      <li><a href="namespacemembers_vars.html"><span>Variables</span></a></li>
+      <li><a href="namespacemembers_type.html"><span>Typedefs</span></a></li>
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+  <div id="navrow4" class="tabs3">
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+      <li><a href="namespacemembers.html#index_a"><span>a</span></a></li>
+      <li><a href="namespacemembers_b.html#index_b"><span>b</span></a></li>
+      <li><a href="namespacemembers_c.html#index_c"><span>c</span></a></li>
+      <li><a href="namespacemembers_d.html#index_d"><span>d</span></a></li>
+      <li><a href="namespacemembers_e.html#index_e"><span>e</span></a></li>
+      <li><a href="namespacemembers_f.html#index_f"><span>f</span></a></li>
+      <li><a href="namespacemembers_g.html#index_g"><span>g</span></a></li>
+      <li><a href="namespacemembers_h.html#index_h"><span>h</span></a></li>
+      <li><a href="namespacemembers_i.html#index_i"><span>i</span></a></li>
+      <li><a href="namespacemembers_j.html#index_j"><span>j</span></a></li>
+      <li><a href="namespacemembers_l.html#index_l"><span>l</span></a></li>
+      <li><a href="namespacemembers_m.html#index_m"><span>m</span></a></li>
+      <li><a href="namespacemembers_n.html#index_n"><span>n</span></a></li>
+      <li><a href="namespacemembers_o.html#index_o"><span>o</span></a></li>
+      <li><a href="namespacemembers_p.html#index_p"><span>p</span></a></li>
+      <li><a href="namespacemembers_q.html#index_q"><span>q</span></a></li>
+      <li><a href="namespacemembers_r.html#index_r"><span>r</span></a></li>
+      <li><a href="namespacemembers_s.html#index_s"><span>s</span></a></li>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1is__vector__like_3_01const_01_t_01_4.html">is_vector_like&lt; const T &gt;</a></td></tr>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html">is_vector_like&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram indicates whether a type is vector_like.  <a href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html">is_vector_like&lt; T * &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1partials__return__type.html">partials_return_type</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1scalar__type.html">scalar_type</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1size__of__helper.html">size_of_helper</a></td></tr>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1size__of__helper_3_01_t_00_01true_01_4.html">size_of_helper&lt; T, true &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</table>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="aa0b8055d979ee18e43048b99eccb5640"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::get </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2meta_2get_8hpp_source.html#l00009">9</a> of file <a class="el" href="mat_2meta_2get_8hpp_source.html">get.hpp</a>.</p>
+
+</div>
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+<div class="memitem">
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+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::get </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="arr_2meta_2get_8hpp_source.html#l00010">10</a> of file <a class="el" href="arr_2meta_2get_8hpp_source.html">get.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a2e926e5518c0c2f289f79d23010815d3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::get </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2get_8hpp_source.html#l00010">10</a> of file <a class="el" href="scal_2meta_2get_8hpp_source.html">get.hpp</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::length </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2meta_2length_8hpp_source.html#l00009">9</a> of file <a class="el" href="mat_2meta_2length_8hpp_source.html">length.hpp</a>.</p>
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::length </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2length_8hpp_source.html#l00009">9</a> of file <a class="el" href="scal_2meta_2length_8hpp_source.html">length.hpp</a>.</p>
+
+</div>
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::length </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
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+      </table>
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+
+<p>Definition at line <a class="el" href="arr_2meta_2length_8hpp_source.html#l00010">10</a> of file <a class="el" href="arr_2meta_2length_8hpp_source.html">length.hpp</a>.</p>
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::length_mvt </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2length__mvt_8hpp_source.html#l00009">9</a> of file <a class="el" href="scal_2meta_2length__mvt_8hpp_source.html">length_mvt.hpp</a>.</p>
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
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+        <tr>
+          <td class="memname">size_t stan::length_mvt </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2meta_2length__mvt_8hpp_source.html#l00012">12</a> of file <a class="el" href="mat_2meta_2length__mvt_8hpp_source.html">length_mvt.hpp</a>.</p>
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+<div class="memitem">
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+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::length_mvt </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; Eigen::Matrix&lt; T, R, C &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2meta_2length__mvt_8hpp_source.html#l00017">17</a> of file <a class="el" href="mat_2meta_2length__mvt_8hpp_source.html">length_mvt.hpp</a>.</p>
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+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::max_size </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="max__size_8hpp_source.html#l00009">9</a> of file <a class="el" href="max__size_8hpp_source.html">max_size.hpp</a>.</p>
+
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+<div class="memitem">
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+template&lt;typename T1 , typename T2 , typename T3 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::max_size </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="max__size_8hpp_source.html#l00016">16</a> of file <a class="el" href="max__size_8hpp_source.html">max_size.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afff0e381090b0d490dc3b23f3eaf8846"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 , typename T4 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::max_size </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T4 &amp;&#160;</td>
+          <td class="paramname"><em>x4</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="max__size_8hpp_source.html#l00024">24</a> of file <a class="el" href="max__size_8hpp_source.html">max_size.hpp</a>.</p>
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+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::max_size_mvt </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
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+          <td></td><td></td>
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+<p>Definition at line <a class="el" href="max__size__mvt_8hpp_source.html#l00010">10</a> of file <a class="el" href="max__size__mvt_8hpp_source.html">max_size_mvt.hpp</a>.</p>
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::max_size_mvt </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
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+<p>Definition at line <a class="el" href="max__size__mvt_8hpp_source.html#l00017">17</a> of file <a class="el" href="max__size__mvt_8hpp_source.html">max_size_mvt.hpp</a>.</p>
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+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 , typename T4 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::max_size_mvt </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T4 &amp;&#160;</td>
+          <td class="paramname"><em>x4</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="max__size__mvt_8hpp_source.html#l00025">25</a> of file <a class="el" href="max__size__mvt_8hpp_source.html">max_size_mvt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4741beaf7ec88631fd2735cadf05365f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t stan::size_of </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
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+<a href="#details">More...</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">The coupled ODE system for unknown initial values and known parameters.  <a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">The coupled ode system for unknown intial values and unknown parameters.  <a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1cvodes__ode__data.html">cvodes_ode_data</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">CVODES ode data holder object which is used during CVODES integration for CVODES callbacks.  <a href="classstan_1_1math_1_1cvodes__ode__data.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1dummy.html">dummy</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Empty struct for use in boost::condtional&lt;<a class="el" href="structstan_1_1is__constant__struct.html" title="Metaprogram to determine if a type has a base scalar type that can be assigned to type double...">is_constant_struct</a>&lt;T1&gt;::value, T1, dummy&gt;::type as false condtion for safe indexing.  <a href="structstan_1_1math_1_1dummy.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1gevv__vvv__vari.html">gevv_vvv_vari</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1include__summand.html">include_summand</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) probability calculation.  <a href="structstan_1_1math_1_1include__summand.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1index__type.html">index_type</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Primary template class for the metaprogram to compute the index type of a container.  <a href="structstan_1_1math_1_1index__type.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html">index_type&lt; const T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template class for metaprogram to compute the type of indexes used in a constant container type.  <a href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html">index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html">index_type&lt; std::vector&lt; T &gt; &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">LDLT_alloc</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">This object stores the actual (double typed) LDLT factorization of an Eigen::Matrix&lt;var&gt; along with pointers to its vari's which allow the *_ldlt functions to save memory.  <a href="classstan_1_1math_1_1_l_d_l_t__alloc.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a></td></tr>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">LDLT_factor&lt; stan::math::var, R, C &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">LDLT_factor&lt; T, R, C &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1ode__system.html">ode_system</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1op__ddv__vari.html">op_ddv_vari</a></td></tr>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">This class builds partial derivatives with respect to a set of operands.  <a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html">OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a></td></tr>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1pass__type.html">pass_type</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1pass__type_3_01double_01_4.html">pass_type&lt; double &gt;</a></td></tr>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1pass__type_3_01int_01_4.html">pass_type&lt; int &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">A variable implementation taking a sequence of operands and partial derivatives with respect to the operands.  <a href="classstan_1_1math_1_1precomputed__gradients__vari.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">promote_scalar_struct</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">General struct to hold static function for promoting underlying scalar types.  <a href="structstan_1_1math_1_1promote__scalar__struct.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html">promote_scalar_struct&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Struct to hold static function for promoting underlying scalar types.  <a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html">promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html">promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1,-1 &gt; &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1store__type.html">store_type</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html">sum_eigen_v_vari</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:abc95573545bf325172b18d2ec6b4f3f4"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename T3 &gt; </td></tr>
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+<tr class="separator:abc95573545bf325172b18d2ec6b4f3f4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aebb72eea615a5b2effad60c4f5c1ccbc"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename T3 &gt; </td></tr>
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+<tr class="separator:aebb72eea615a5b2effad60c4f5c1ccbc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1e283e1daef5282717309ddb1302d5dc"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename T3 &gt; </td></tr>
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+<tr class="separator:a1e283e1daef5282717309ddb1302d5dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a085357acaef6e7ac8f3e7d16e6b38aa3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afaf7c6a98ccaf08b9964b9d9258c6d13"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename T3 &gt; </td></tr>
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+<tr class="separator:a31f25245e8d92c7e406808b1aad777a9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a00b8cbdec7c35e7c93b0f47dae3c5498"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a00b8cbdec7c35e7c93b0f47dae3c5498"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">value_of_rec</a> (const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;v)</td></tr>
+<tr class="memdesc:a00b8cbdec7c35e7c93b0f47dae3c5498"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of the specified variable.  <a href="#a00b8cbdec7c35e7c93b0f47dae3c5498">More...</a><br /></td></tr>
+<tr class="separator:a00b8cbdec7c35e7c93b0f47dae3c5498"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7add35b0758b1d0541f7e919c36412f9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a7add35b0758b1d0541f7e919c36412f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified pointer is aligned on the number of bytes.  <a href="#a7add35b0758b1d0541f7e919c36412f9">More...</a><br /></td></tr>
+<tr class="separator:a7add35b0758b1d0541f7e919c36412f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0597dca74b96a4287c6f848489288d44"><td class="memTemplParams" colspan="2">template&lt;typename T , typename F &gt; </td></tr>
+<tr class="memitem:a0597dca74b96a4287c6f848489288d44"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0597dca74b96a4287c6f848489288d44">derivative</a> (const F &amp;f, const T &amp;x, T &amp;fx, T &amp;dfx_dx)</td></tr>
+<tr class="memdesc:a0597dca74b96a4287c6f848489288d44"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the derivative of the specified univariate function at the specified argument.  <a href="#a0597dca74b96a4287c6f848489288d44">More...</a><br /></td></tr>
+<tr class="separator:a0597dca74b96a4287c6f848489288d44"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a138f3242eba971c17756586ace2c15d3"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
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+<tr class="memdesc:a138f3242eba971c17756586ace2c15d3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the value and the gradient of the hessian of the specified function at the specified argument using second-order autodiff and first-order finite difference.  <a href="#a138f3242eba971c17756586ace2c15d3">More...</a><br /></td></tr>
+<tr class="separator:a138f3242eba971c17756586ace2c15d3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a367affe85da63060b14ae8bc988f0df6"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:a367affe85da63060b14ae8bc988f0df6"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a367affe85da63060b14ae8bc988f0df6">grad_hessian</a> (const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;H, std::vector&lt; Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; &amp;grad_H)</td></tr>
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+<tr class="separator:a367affe85da63060b14ae8bc988f0df6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa7face099d2313985131cde21ae17d8f"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:aa7face099d2313985131cde21ae17d8f"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa7face099d2313985131cde21ae17d8f">grad_tr_mat_times_hessian</a> (const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;M, Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;grad_tr_MH)</td></tr>
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+<tr class="memitem:aef4059a767ad9af62d85cfb9685e250e"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename F &gt; </td></tr>
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+<tr class="separator:aef4059a767ad9af62d85cfb9685e250e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a01474168e03d94b982b6b4fd694b3302"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:a01474168e03d94b982b6b4fd694b3302"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a01474168e03d94b982b6b4fd694b3302">hessian</a> (const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;<a class="el" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">grad</a>, Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;H)</td></tr>
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+<tr class="separator:a01474168e03d94b982b6b4fd694b3302"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab7006e79de4699a89e4980e1a6097770"><td class="memTemplParams" colspan="2">template&lt;typename T , typename F &gt; </td></tr>
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+<tr class="memitem:a69389a1cd22b50df04a87245292f7f85"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
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+<tr class="memitem:a1bb76a7877dac777de4757af8f2677be"><td class="memTemplParams" colspan="2">template&lt;typename T , typename F &gt; </td></tr>
+<tr class="memitem:a1bb76a7877dac777de4757af8f2677be"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1bb76a7877dac777de4757af8f2677be">hessian_times_vector</a> (const F &amp;f, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;v, T &amp;fx, Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;Hv)</td></tr>
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+<tr class="memitem:af75dae6137f91377c351b2f648b1c18e"><td class="memTemplParams" colspan="2">template&lt;typename T , typename F &gt; </td></tr>
+<tr class="memitem:af75dae6137f91377c351b2f648b1c18e"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af75dae6137f91377c351b2f648b1c18e">partial_derivative</a> (const F &amp;f, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, int n, T &amp;fx, T &amp;dfx_dxn)</td></tr>
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+<tr class="separator:af75dae6137f91377c351b2f648b1c18e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a97c3c23033e47a923ed5ce26a4deeba5"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="separator:a97c3c23033e47a923ed5ce26a4deeba5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af55e7669a804e68bc9d39ecd06318b23"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="memdesc:af55e7669a804e68bc9d39ecd06318b23"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified vector is sorted into strictly increasing order.  <a href="#af55e7669a804e68bc9d39ecd06318b23">More...</a><br /></td></tr>
+<tr class="separator:af55e7669a804e68bc9d39ecd06318b23"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a8a6a4ef7c701db7984297d153580c8d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa7f5d81c4d45f2407096def8810ffe00"><td class="memTemplParams" colspan="2">template&lt;typename T , typename S &gt; </td></tr>
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+<tr class="separator:aa7f5d81c4d45f2407096def8810ffe00"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9e67f9b1692743a9db4462e98bb49ef5"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9e67f9b1692743a9db4462e98bb49ef5">log_sum_exp</a> (const std::vector&lt; double &gt; &amp;x)</td></tr>
+<tr class="memdesc:a9e67f9b1692743a9db4462e98bb49ef5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of the sum of the exponentiated values of the specified sequence of values.  <a href="#a9e67f9b1692743a9db4462e98bb49ef5">More...</a><br /></td></tr>
+<tr class="separator:a9e67f9b1692743a9db4462e98bb49ef5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad3d78d2735a35451f02bcd2f4da24886"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad3d78d2735a35451f02bcd2f4da24886"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad3d78d2735a35451f02bcd2f4da24886">rep_array</a> (const T &amp;x, int n)</td></tr>
+<tr class="separator:ad3d78d2735a35451f02bcd2f4da24886"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8edf0b7ec2ad24b1fda26a8d58513106"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memitem:a53054db4cfa6672654fbaedafbdae242"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a1efee0b4f8879a114af50b7e9802745c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1c5a329d06bfc8d164f9f4df523814cc"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a1c5a329d06bfc8d164f9f4df523814cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8f36ce063f22b2245ee7a6e3fcd013f9"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
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+<tr class="separator:a8f36ce063f22b2245ee7a6e3fcd013f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5a627a700920f5b1e45140b39da256c8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a5a627a700920f5b1e45140b39da256c8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convert a std::vector of type T to a std::vector of doubles.  <a href="#a5a627a700920f5b1e45140b39da256c8">More...</a><br /></td></tr>
+<tr class="separator:a5a627a700920f5b1e45140b39da256c8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adbade9ca6c7c41a1d62102d9c86135d8"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
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+<tr class="separator:adbade9ca6c7c41a1d62102d9c86135d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a58c5864d8bd873b60b8a377ff1bc515f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6a07026df8b25226da59ac45f8e679c9"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="separator:a6a07026df8b25226da59ac45f8e679c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa2df70fec3388f7969c873e6aa071b7e"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="separator:aa2df70fec3388f7969c873e6aa071b7e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16b0a60f741f97efac53254839f24ff8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4f56159e67a4047107cc552702abaa6c"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="separator:a4f56159e67a4047107cc552702abaa6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6e298b7563329829cb79930a121223b1"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="separator:a6e298b7563329829cb79930a121223b1"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a7547b05717280b1cc041309803ec797d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acd07dd6b395becbbd349814c0e55c0d9"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="separator:acd07dd6b395becbbd349814c0e55c0d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1149504bbf29d464f23508ca5eccc0a"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:aa1149504bbf29d464f23508ca5eccc0a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a52ba893fcf6fc650e992c13d41fbc3ae"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3cfbb4f09fe34b9ece32be051f16ce66"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
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+<tr class="separator:a3cfbb4f09fe34b9ece32be051f16ce66"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2a7b212a4431aeedca59b2e94c84f788"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="separator:a2a7b212a4431aeedca59b2e94c84f788"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a73c78430d39530eb8c4ef3fed06f7082"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="separator:a73c78430d39530eb8c4ef3fed06f7082"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ac0662f5d1e64e1adfa2f6216d1d58d6a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a32de4907da5087c01bfdda45a8ab1ede"><td class="memTemplParams" colspan="2">template&lt;typename Derived &gt; </td></tr>
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+<tr class="separator:a32de4907da5087c01bfdda45a8ab1ede"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a02cfec85c227ec8307c522c00df02928"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a87f00a8c0f07c5a82145a14712437673"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adcd4dcac328824f71f31d6861b8610ee"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adcd4dcac328824f71f31d6861b8610ee">check_range</a> (const char *function, const char *name, const int <a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a>, const int index, const int nested_level, const char *error_msg)</td></tr>
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+<tr class="separator:adcd4dcac328824f71f31d6861b8610ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8822ad6a9b8706465e8e1f90c336e3c2"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8822ad6a9b8706465e8e1f90c336e3c2">check_range</a> (const char *function, const char *name, const int <a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a>, const int index, const char *error_msg)</td></tr>
+<tr class="memdesc:a8822ad6a9b8706465e8e1f90c336e3c2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if specified index is within range.  <a href="#a8822ad6a9b8706465e8e1f90c336e3c2">More...</a><br /></td></tr>
+<tr class="separator:a8822ad6a9b8706465e8e1f90c336e3c2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7e76ffb67d3c6c6c225b0ba7b991f449"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7e76ffb67d3c6c6c225b0ba7b991f449">check_range</a> (const char *function, const char *name, const int <a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a>, const int index)</td></tr>
+<tr class="memdesc:a7e76ffb67d3c6c6c225b0ba7b991f449"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if specified index is within range.  <a href="#a7e76ffb67d3c6c6c225b0ba7b991f449">More...</a><br /></td></tr>
+<tr class="separator:a7e76ffb67d3c6c6c225b0ba7b991f449"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acb080867499e68f688b0dcb5c8f4e061"><td class="memTemplParams" colspan="2">template&lt;typename T_y , int R, int C&gt; </td></tr>
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+<tr class="separator:acb080867499e68f688b0dcb5c8f4e061"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6affd19d4999c427291a2bbb07bce304"><td class="memTemplParams" colspan="2">template&lt;typename T_prob &gt; </td></tr>
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+<tr class="separator:a6affd19d4999c427291a2bbb07bce304"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7f80d208c430ed463474147d0e3ec3ce"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="separator:a7f80d208c430ed463474147d0e3ec3ce"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="memdesc:a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified matrix is square.  <a href="#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">More...</a><br /></td></tr>
+<tr class="separator:a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7ed873db07e833c14413c319a5bb9837"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a7ed873db07e833c14413c319a5bb9837"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab874d14a9441896a9d9e0172ba555357"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="separator:ab874d14a9441896a9d9e0172ba555357"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abde0b7cf68eab53d00c041fec244c735"><td class="memTemplParams" colspan="2">template&lt;typename T_prob &gt; </td></tr>
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+<tr class="memdesc:abde0b7cf68eab53d00c041fec244c735"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified vector is unit vector.  <a href="#abde0b7cf68eab53d00c041fec244c735">More...</a><br /></td></tr>
+<tr class="separator:abde0b7cf68eab53d00c041fec244c735"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5b78e5ddf65db13aaa65a6c58205fbf2"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a5b78e5ddf65db13aaa65a6c58205fbf2"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5b78e5ddf65db13aaa65a6c58205fbf2">check_vector</a> (const char *function, const char *name, const Eigen::Matrix&lt; T, R, C &gt; &amp;x)</td></tr>
+<tr class="memdesc:a5b78e5ddf65db13aaa65a6c58205fbf2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the matrix is either a row vector or column vector.  <a href="#a5b78e5ddf65db13aaa65a6c58205fbf2">More...</a><br /></td></tr>
+<tr class="separator:a5b78e5ddf65db13aaa65a6c58205fbf2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abb591fca3d88d2a5d587ce6172b62bf4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abb591fca3d88d2a5d587ce6172b62bf4">validate_non_negative_index</a> (const char *var_name, const char *expr, int val)</td></tr>
+<tr class="separator:abb591fca3d88d2a5d587ce6172b62bf4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab7092cc09ee412719d685be41a04982a"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="memdesc:ab7092cc09ee412719d685be41a04982a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sum of the specified matrices.  <a href="#ab7092cc09ee412719d685be41a04982a">More...</a><br /></td></tr>
+<tr class="separator:ab7092cc09ee412719d685be41a04982a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60c2f0966abaf6f80131423add52053d"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="memdesc:a60c2f0966abaf6f80131423add52053d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sum of the specified matrix and specified scalar.  <a href="#a60c2f0966abaf6f80131423add52053d">More...</a><br /></td></tr>
+<tr class="separator:a60c2f0966abaf6f80131423add52053d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac7b8d8a7b33160a0c7304efc26fb46db"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="memdesc:ac7b8d8a7b33160a0c7304efc26fb46db"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sum of the specified scalar and specified matrix.  <a href="#ac7b8d8a7b33160a0c7304efc26fb46db">More...</a><br /></td></tr>
+<tr class="separator:ac7b8d8a7b33160a0c7304efc26fb46db"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9f2aa85e5119417b44958458dd714cff"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="memdesc:a9f2aa85e5119417b44958458dd714cff"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the result of appending the second argument matrix after the first argument matrix, that is, putting them side by side, with the first matrix followed by the second matrix.  <a href="#a9f2aa85e5119417b44958458dd714cff">More...</a><br /></td></tr>
+<tr class="separator:a9f2aa85e5119417b44958458dd714cff"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a10572fe52ef6b2ddbe94aa1549310289"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int C1, int C2&gt; </td></tr>
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+<tr class="separator:a10572fe52ef6b2ddbe94aa1549310289"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1462dc3a656316092e0557cdc276f377"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a1462dc3a656316092e0557cdc276f377"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac5ba839958285c999e1f3bb5706bb9b6"><td class="memTemplParams" colspan="2">template&lt;typename T , int C1, int C2&gt; </td></tr>
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+<tr class="separator:ac5ba839958285c999e1f3bb5706bb9b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7109247897a8a5530d481b3219eab226"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="separator:a7109247897a8a5530d481b3219eab226"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ace861531ce1f3daf3bb810ec50cf0a5f"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="separator:ace861531ce1f3daf3bb810ec50cf0a5f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aed867c5cdbb34fe1c10ad212665c8611"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="memdesc:aed867c5cdbb34fe1c10ad212665c8611"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the result of stacking the rows of the first argument matrix on top of the second argument matrix.  <a href="#aed867c5cdbb34fe1c10ad212665c8611">More...</a><br /></td></tr>
+<tr class="separator:aed867c5cdbb34fe1c10ad212665c8611"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad3ac4765524854d6b14af8def58431dc"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int R2&gt; </td></tr>
+<tr class="memitem:ad3ac4765524854d6b14af8def58431dc"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt; T1, T2 &gt;::type, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad3ac4765524854d6b14af8def58431dc">append_row</a> (const Eigen::Matrix&lt; T1, R1, 1 &gt; &amp;A, const Eigen::Matrix&lt; T2, R2, 1 &gt; &amp;B)</td></tr>
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+<tr class="separator:ad3ac4765524854d6b14af8def58431dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae8edbdc61c53db90c4dd6039221f5a71"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="memdesc:ae8edbdc61c53db90c4dd6039221f5a71"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the result of stacking the rows of the first argument matrix on top of the second argument matrix.  <a href="#ae8edbdc61c53db90c4dd6039221f5a71">More...</a><br /></td></tr>
+<tr class="separator:ae8edbdc61c53db90c4dd6039221f5a71"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a66107dc00c528f6d692bbde30d6af90c"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int R2&gt; </td></tr>
+<tr class="memitem:a66107dc00c528f6d692bbde30d6af90c"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a66107dc00c528f6d692bbde30d6af90c">append_row</a> (const Eigen::Matrix&lt; T, R1, 1 &gt; &amp;A, const Eigen::Matrix&lt; T, R2, 1 &gt; &amp;B)</td></tr>
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+<tr class="separator:a66107dc00c528f6d692bbde30d6af90c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af49e61d2cb5135e0d653f3d9d8d35725"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="memdesc:af49e61d2cb5135e0d653f3d9d8d35725"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the result of stacking an scalar on top of the a vector, with the result being a vector.  <a href="#af49e61d2cb5135e0d653f3d9d8d35725">More...</a><br /></td></tr>
+<tr class="separator:af49e61d2cb5135e0d653f3d9d8d35725"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7fa479d37a14b42091384f9876d83b87"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
+<tr class="memitem:a7fa479d37a14b42091384f9876d83b87"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt; T1, T2 &gt;::type, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7fa479d37a14b42091384f9876d83b87">append_row</a> (const Eigen::Matrix&lt; T1, R, C &gt; &amp;A, const T2 &amp;B)</td></tr>
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+<tr class="separator:a7fa479d37a14b42091384f9876d83b87"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa8f00af063b839677434c6a0f92629a3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa8f00af063b839677434c6a0f92629a3">print_mat_size</a> (int n, std::ostream &amp;o)</td></tr>
+<tr class="memdesc:aa8f00af063b839677434c6a0f92629a3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Helper function to return the matrix size as either "dynamic" or "1".  <a href="#aa8f00af063b839677434c6a0f92629a3">More...</a><br /></td></tr>
+<tr class="separator:aa8f00af063b839677434c6a0f92629a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5f394c15ea3eb97743382631f91801cf"><td class="memTemplParams" colspan="2">template&lt;typename LHS , typename RHS &gt; </td></tr>
+<tr class="memitem:a5f394c15ea3eb97743382631f91801cf"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5f394c15ea3eb97743382631f91801cf">assign</a> (LHS &amp;lhs, const RHS &amp;rhs)</td></tr>
+<tr class="memdesc:a5f394c15ea3eb97743382631f91801cf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy the right-hand side's value to the left-hand side variable.  <a href="#a5f394c15ea3eb97743382631f91801cf">More...</a><br /></td></tr>
+<tr class="separator:a5f394c15ea3eb97743382631f91801cf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5371f0f914e9b79a0700577e5557c0b7"><td class="memTemplParams" colspan="2">template&lt;typename LHS , typename RHS , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a5371f0f914e9b79a0700577e5557c0b7"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5371f0f914e9b79a0700577e5557c0b7">assign</a> (Eigen::Matrix&lt; LHS, R1, C1 &gt; &amp;x, const Eigen::Matrix&lt; RHS, R2, C2 &gt; &amp;y)</td></tr>
+<tr class="memdesc:a5371f0f914e9b79a0700577e5557c0b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy the right-hand side's value to the left-hand side variable.  <a href="#a5371f0f914e9b79a0700577e5557c0b7">More...</a><br /></td></tr>
+<tr class="separator:a5371f0f914e9b79a0700577e5557c0b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0a80c719463c4e3caa03df731e2c2cb9"><td class="memTemplParams" colspan="2">template&lt;typename LHS , typename RHS , int R, int C&gt; </td></tr>
+<tr class="memitem:a0a80c719463c4e3caa03df731e2c2cb9"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0a80c719463c4e3caa03df731e2c2cb9">assign</a> (Eigen::Matrix&lt; LHS, R, C &gt; &amp;x, const Eigen::Matrix&lt; RHS, R, C &gt; &amp;y)</td></tr>
+<tr class="memdesc:a0a80c719463c4e3caa03df731e2c2cb9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy the right-hand side's value to the left-hand side variable.  <a href="#a0a80c719463c4e3caa03df731e2c2cb9">More...</a><br /></td></tr>
+<tr class="separator:a0a80c719463c4e3caa03df731e2c2cb9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa4af3a90ad3b5ec1507dfc1823fdb8da"><td class="memTemplParams" colspan="2">template&lt;typename LHS , typename RHS , int R, int C&gt; </td></tr>
+<tr class="memitem:aa4af3a90ad3b5ec1507dfc1823fdb8da"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa4af3a90ad3b5ec1507dfc1823fdb8da">assign</a> (Eigen::Block&lt; LHS &gt; x, const Eigen::Matrix&lt; RHS, R, C &gt; &amp;y)</td></tr>
+<tr class="memdesc:aa4af3a90ad3b5ec1507dfc1823fdb8da"><td class="mdescLeft">&#160;</td><td class="mdescRight">Copy the right-hand side's value to the left-hand side variable.  <a href="#aa4af3a90ad3b5ec1507dfc1823fdb8da">More...</a><br /></td></tr>
+<tr class="separator:aa4af3a90ad3b5ec1507dfc1823fdb8da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2c6dec98c71fd478c2ee16bc274b464d"><td class="memTemplParams" colspan="2">template&lt;typename LHS , typename RHS &gt; </td></tr>
+<tr class="memitem:a2c6dec98c71fd478c2ee16bc274b464d"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2c6dec98c71fd478c2ee16bc274b464d">assign</a> (std::vector&lt; LHS &gt; &amp;x, const std::vector&lt; RHS &gt; &amp;y)</td></tr>
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+<tr class="separator:a2c6dec98c71fd478c2ee16bc274b464d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afd7c65ea100e48abc72f3c1e96fcdbe9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:afd7c65ea100e48abc72f3c1e96fcdbe9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write autocorrelation estimates for every lag for the specified input sequence into the specified result using the specified FFT engine.  <a href="#afd7c65ea100e48abc72f3c1e96fcdbe9">More...</a><br /></td></tr>
+<tr class="separator:afd7c65ea100e48abc72f3c1e96fcdbe9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a999404b2520dcd466c62c6ba3ca61f89"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a999404b2520dcd466c62c6ba3ca61f89"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write autocorrelation estimates for every lag for the specified input sequence into the specified result.  <a href="#a999404b2520dcd466c62c6ba3ca61f89">More...</a><br /></td></tr>
+<tr class="separator:a999404b2520dcd466c62c6ba3ca61f89"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aab515e37311a3070dbc66e69d31359a5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:aab515e37311a3070dbc66e69d31359a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write autocovariance estimates for every lag for the specified input sequence into the specified result using the specified FFT engine.  <a href="#aab515e37311a3070dbc66e69d31359a5">More...</a><br /></td></tr>
+<tr class="separator:aab515e37311a3070dbc66e69d31359a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acdfe56505f9cbe96a18fc00f76fe79fd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:acdfe56505f9cbe96a18fc00f76fe79fd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write autocovariance estimates for every lag for the specified input sequence into the specified result.  <a href="#acdfe56505f9cbe96a18fc00f76fe79fd">More...</a><br /></td></tr>
+<tr class="separator:acdfe56505f9cbe96a18fc00f76fe79fd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a69be3cf865daa6eca4a859f97ffaa8f7"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a69be3cf865daa6eca4a859f97ffaa8f7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a nrows x ncols submatrix starting at (i-1, j-1).  <a href="#a69be3cf865daa6eca4a859f97ffaa8f7">More...</a><br /></td></tr>
+<tr class="separator:a69be3cf865daa6eca4a859f97ffaa8f7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9d24004ec984f89b342414ff6312d0a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ab9d24004ec984f89b342414ff6312d0a"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab9d24004ec984f89b342414ff6312d0a">cholesky_corr_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;y, int K)</td></tr>
+<tr class="separator:ab9d24004ec984f89b342414ff6312d0a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6649012a7c4d7108fb5dc5ebd6a13683"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a6649012a7c4d7108fb5dc5ebd6a13683"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aeed4fbb1adce01dfc445cae326e4c482"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:aeed4fbb1adce01dfc445cae326e4c482"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a4d798c4cab5a0716a0e338de38617c8e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae2be4ed6bbf19487de29cfc85718ed3b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:ae2be4ed6bbf19487de29cfc85718ed3b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the Cholesky factor of the specified size read from the specified vector.  <a href="#ae2be4ed6bbf19487de29cfc85718ed3b">More...</a><br /></td></tr>
+<tr class="separator:ae2be4ed6bbf19487de29cfc85718ed3b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8eb630493ae2edfb2dbc9caeda00dfff"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8eb630493ae2edfb2dbc9caeda00dfff"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8eb630493ae2edfb2dbc9caeda00dfff">cholesky_factor_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, int M, int N, T &amp;lp)</td></tr>
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+<tr class="separator:a8eb630493ae2edfb2dbc9caeda00dfff"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad9d45c92d30d1120cfa4b71a766e1712"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad9d45c92d30d1120cfa4b71a766e1712"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad9d45c92d30d1120cfa4b71a766e1712">cholesky_factor_free</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:ad9d45c92d30d1120cfa4b71a766e1712"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unconstrained vector of parameters correspdonding to the specified Cholesky factor.  <a href="#ad9d45c92d30d1120cfa4b71a766e1712">More...</a><br /></td></tr>
+<tr class="separator:ad9d45c92d30d1120cfa4b71a766e1712"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3d822499055d9eefe6cd543ad06e1d3b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a3d822499055d9eefe6cd543ad06e1d3b"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3d822499055d9eefe6cd543ad06e1d3b">col</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m, size_t j)</td></tr>
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+<tr class="separator:a3d822499055d9eefe6cd543ad06e1d3b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0798f82fcc76f547303e77224fa25025"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:a0798f82fcc76f547303e77224fa25025"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6d03b34aa7329a68f31d1c7bc500c5c8"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a6d03b34aa7329a68f31d1c7bc500c5c8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3cc404fd71124d7cea29d4f6d1a767b9"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="memdesc:a3cc404fd71124d7cea29d4f6d1a767b9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of each column of a matrix with itself.  <a href="#a3cc404fd71124d7cea29d4f6d1a767b9">More...</a><br /></td></tr>
+<tr class="separator:a3cc404fd71124d7cea29d4f6d1a767b9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8321b61db6a84b5d9041777643d53550"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8321b61db6a84b5d9041777643d53550"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8321b61db6a84b5d9041777643d53550">corr_matrix_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, typename <a class="el" href="structstan_1_1math_1_1index__type.html">math::index_type</a>&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::type k)</td></tr>
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+<tr class="separator:a8321b61db6a84b5d9041777643d53550"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a65f2b4839829eda2b539a09da332a7fa"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a65f2b4839829eda2b539a09da332a7fa"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a65f2b4839829eda2b539a09da332a7fa">corr_matrix_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, typename <a class="el" href="structstan_1_1math_1_1index__type.html">math::index_type</a>&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::type k, T &amp;lp)</td></tr>
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+<tr class="separator:a65f2b4839829eda2b539a09da332a7fa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a34f63590ae0c736b6113d578d0899da1"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a34f63590ae0c736b6113d578d0899da1"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34f63590ae0c736b6113d578d0899da1">corr_matrix_free</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
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+<tr class="separator:a34f63590ae0c736b6113d578d0899da1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1ad6b90cf2d3d3d25d2cf64a12effede"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a1ad6b90cf2d3d3d25d2cf64a12effede"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1ad6b90cf2d3d3d25d2cf64a12effede">cov_matrix_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, typename <a class="el" href="structstan_1_1math_1_1index__type.html">math::index_type</a>&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::type K)</td></tr>
+<tr class="memdesc:a1ad6b90cf2d3d3d25d2cf64a12effede"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the symmetric, positive-definite matrix of dimensions K by K resulting from transforming the specified finite vector of size K plus (K choose 2).  <a href="#a1ad6b90cf2d3d3d25d2cf64a12effede">More...</a><br /></td></tr>
+<tr class="separator:a1ad6b90cf2d3d3d25d2cf64a12effede"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a417c6032fe62186f7c8fb5452e4173d8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a417c6032fe62186f7c8fb5452e4173d8"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a417c6032fe62186f7c8fb5452e4173d8">cov_matrix_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, typename <a class="el" href="structstan_1_1math_1_1index__type.html">math::index_type</a>&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::type K, T &amp;lp)</td></tr>
+<tr class="memdesc:a417c6032fe62186f7c8fb5452e4173d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the symmetric, positive-definite matrix of dimensions K by K resulting from transforming the specified finite vector of size K plus (K choose 2).  <a href="#a417c6032fe62186f7c8fb5452e4173d8">More...</a><br /></td></tr>
+<tr class="separator:a417c6032fe62186f7c8fb5452e4173d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6e398c69a5845680ca945fa9ec6ec401"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6e398c69a5845680ca945fa9ec6ec401"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6e398c69a5845680ca945fa9ec6ec401">cov_matrix_constrain_lkj</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, size_t k)</td></tr>
+<tr class="memdesc:a6e398c69a5845680ca945fa9ec6ec401"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the covariance matrix of the specified dimensionality derived from constraining the specified vector of unconstrained values.  <a href="#a6e398c69a5845680ca945fa9ec6ec401">More...</a><br /></td></tr>
+<tr class="separator:a6e398c69a5845680ca945fa9ec6ec401"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad179abe18f235b3000ad7a000b3abb29"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad179abe18f235b3000ad7a000b3abb29"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad179abe18f235b3000ad7a000b3abb29">cov_matrix_constrain_lkj</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, size_t k, T &amp;lp)</td></tr>
+<tr class="memdesc:ad179abe18f235b3000ad7a000b3abb29"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the covariance matrix of the specified dimensionality derived from constraining the specified vector of unconstrained values and increment the specified log probability reference with the log absolute Jacobian determinant.  <a href="#ad179abe18f235b3000ad7a000b3abb29">More...</a><br /></td></tr>
+<tr class="separator:ad179abe18f235b3000ad7a000b3abb29"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a485d3c2cd12e516bb13a1d48f9a43386"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a485d3c2cd12e516bb13a1d48f9a43386"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a485d3c2cd12e516bb13a1d48f9a43386">cov_matrix_free</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a485d3c2cd12e516bb13a1d48f9a43386"><td class="mdescLeft">&#160;</td><td class="mdescRight">The covariance matrix derived from the symmetric view of the lower-triangular view of the K by K specified matrix is freed to return a vector of size K + (K choose 2).  <a href="#a485d3c2cd12e516bb13a1d48f9a43386">More...</a><br /></td></tr>
+<tr class="separator:a485d3c2cd12e516bb13a1d48f9a43386"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9021324082d4241367fdd17da025a32d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9021324082d4241367fdd17da025a32d"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9021324082d4241367fdd17da025a32d">cov_matrix_free_lkj</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</td></tr>
+<tr class="memdesc:a9021324082d4241367fdd17da025a32d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the vector of unconstrained partial correlations and deviations that transform to the specified covariance matrix.  <a href="#a9021324082d4241367fdd17da025a32d">More...</a><br /></td></tr>
+<tr class="separator:a9021324082d4241367fdd17da025a32d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a62cc3a137ff3220bdd0137a52a4b9714"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">matrix_d</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a62cc3a137ff3220bdd0137a52a4b9714">crossprod</a> (const <a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">matrix_d</a> &amp;M)</td></tr>
+<tr class="memdesc:a62cc3a137ff3220bdd0137a52a4b9714"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the result of pre-multiplying a matrix by its own transpose.  <a href="#a62cc3a137ff3220bdd0137a52a4b9714">More...</a><br /></td></tr>
+<tr class="separator:a62cc3a137ff3220bdd0137a52a4b9714"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga989f196379081c782be06612b5731dcb"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:ga989f196379081c782be06612b5731dcb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract the NZE index for each entry from a sparse matrix.  <a href="group__csr__format.html#ga989f196379081c782be06612b5731dcb">More...</a><br /></td></tr>
+<tr class="separator:ga989f196379081c782be06612b5731dcb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga221b0a757cf0703a929342d2b4cea763"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ga221b0a757cf0703a929342d2b4cea763"><td class="memTemplItemLeft" align="right" valign="top">const std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#ga221b0a757cf0703a929342d2b4cea763">csr_extract_u</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td></tr>
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+<tr class="separator:ga221b0a757cf0703a929342d2b4cea763"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gade78a62d0fd64b0d5da2370256cbb6e0"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:gade78a62d0fd64b0d5da2370256cbb6e0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Extract the column indexes for non-zero value from a sparse matrix.  <a href="group__csr__format.html#gade78a62d0fd64b0d5da2370256cbb6e0">More...</a><br /></td></tr>
+<tr class="separator:gade78a62d0fd64b0d5da2370256cbb6e0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ga01e6e2504c5eb6d0b289aa51172cd729"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:ga01e6e2504c5eb6d0b289aa51172cd729"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gae45bfd671760b4f442d272456b2ae01c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memitem:ga0fdafcbb6706d2656fcf1ece6a20fad4"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ga0fdafcbb6706d2656fcf1ece6a20fad4"><td class="memTemplItemLeft" align="right" valign="top">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#ga0fdafcbb6706d2656fcf1ece6a20fad4">csr_extract_w</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</td></tr>
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+<tr class="memitem:a9e045cbd4b736cc0cf57025b1d8f72fe"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
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+<tr class="memitem:gab28ee38f5eb51242d9c9280202baff5f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:gab28ee38f5eb51242d9c9280202baff5f"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="group__csr__format.html#gab28ee38f5eb51242d9c9280202baff5f">csr_to_dense_matrix</a> (const int &amp;m, const int &amp;n, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;w, const std::vector&lt; int &gt; &amp;v, const std::vector&lt; int &gt; &amp;u)</td></tr>
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+<tr class="separator:gab28ee38f5eb51242d9c9280202baff5f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:gaf4e1bf7c971d0b9eb931654ea309a2bf"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="group__csr__format.html#gaf4e1bf7c971d0b9eb931654ea309a2bf">csr_u_to_z</a> (const std::vector&lt; int &gt; &amp;u, int i)</td></tr>
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+<tr class="separator:gaf4e1bf7c971d0b9eb931654ea309a2bf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7340f6be8ae1e121c6d854005560fef5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a7340f6be8ae1e121c6d854005560fef5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a92fcacf229225bb313cf894cc1406a17"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:a92fcacf229225bb313cf894cc1406a17"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab65e9ab0e6f725c7e11068b0be2af84f"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="memdesc:ab65e9ab0e6f725c7e11068b0be2af84f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the determinant of the specified square matrix.  <a href="#ab65e9ab0e6f725c7e11068b0be2af84f">More...</a><br /></td></tr>
+<tr class="separator:ab65e9ab0e6f725c7e11068b0be2af84f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8174ad2b40453c1bfcbdf59bf76e030d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a8174ad2b40453c1bfcbdf59bf76e030d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ada475ab6293a9b7e5d3e6c1f92315008"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a2e96160f66cf84ab9a4bae027645e5a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2b9073e39033e56eb31344091f0170fd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:acc0a62287bdf0c0420386fccc0a13ca9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a082ee76b34a2ea656d2c8ab9186c1a2b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:af8d73851895fb151fdf79e55bf33e98e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a58da447df259e9e092e8fd910b338e1f"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a58da447df259e9e092e8fd910b338e1f">dot_product</a> (const double *v1, const double *v2, size_t <a class="el" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>)</td></tr>
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+<tr class="separator:a58da447df259e9e092e8fd910b338e1f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab7cd93708bf432b3bd3d284958972ede"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab7cd93708bf432b3bd3d284958972ede">dot_product</a> (const std::vector&lt; double &gt; &amp;v1, const std::vector&lt; double &gt; &amp;v2)</td></tr>
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+<tr class="separator:ab7cd93708bf432b3bd3d284958972ede"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac81ab85d390fcb594884773a85fac657"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
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+<tr class="separator:ac81ab85d390fcb594884773a85fac657"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2e454ec91241f2f6e70aa05e7b7698ff"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a2e454ec91241f2f6e70aa05e7b7698ff"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9fd77067fef0a78dd5d8f9527969631e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memitem:a75c3cc187f569c795118c72bcc1e5c58"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="memdesc:a75c3cc187f569c795118c72bcc1e5c58"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the elementwise division of the specified matrices.  <a href="#a75c3cc187f569c795118c72bcc1e5c58">More...</a><br /></td></tr>
+<tr class="separator:a75c3cc187f569c795118c72bcc1e5c58"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adc5d04e1b1dde0ea7455380ec27d4528"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="memdesc:adc5d04e1b1dde0ea7455380ec27d4528"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the elementwise division of the specified matrix by the specified scalar.  <a href="#adc5d04e1b1dde0ea7455380ec27d4528">More...</a><br /></td></tr>
+<tr class="separator:adc5d04e1b1dde0ea7455380ec27d4528"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad4d728ca306346624b833cee2777c23d"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="memdesc:ad4d728ca306346624b833cee2777c23d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the elementwise division of the specified scalar by the specified matrix.  <a href="#ad4d728ca306346624b833cee2777c23d">More...</a><br /></td></tr>
+<tr class="separator:ad4d728ca306346624b833cee2777c23d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2edc3d65b32928692984bd66a1b3bb56"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
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+<tr class="memdesc:a2edc3d65b32928692984bd66a1b3bb56"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the elementwise multiplication of the specified matrices.  <a href="#a2edc3d65b32928692984bd66a1b3bb56">More...</a><br /></td></tr>
+<tr class="separator:a2edc3d65b32928692984bd66a1b3bb56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7ad4663394747a548b42f8cbe9def1f7"><td class="memTemplParams" colspan="2">template&lt;typename T , int Rows, int Cols&gt; </td></tr>
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+<tr class="memdesc:a7ad4663394747a548b42f8cbe9def1f7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the element-wise exponentiation of the matrix or vector.  <a href="#a7ad4663394747a548b42f8cbe9def1f7">More...</a><br /></td></tr>
+<tr class="separator:a7ad4663394747a548b42f8cbe9def1f7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab3bd08f492d4ae400850ecb98b9b6cb9"><td class="memTemplParams" colspan="2">template&lt;int Rows, int Cols&gt; </td></tr>
+<tr class="memitem:ab3bd08f492d4ae400850ecb98b9b6cb9"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; double, Rows, Cols &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab3bd08f492d4ae400850ecb98b9b6cb9">exp</a> (const Eigen::Matrix&lt; double, Rows, Cols &gt; &amp;m)</td></tr>
+<tr class="separator:ab3bd08f492d4ae400850ecb98b9b6cb9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9d6ef71b2e1a2a216a031d8403458bdd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9d6ef71b2e1a2a216a031d8403458bdd"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9d6ef71b2e1a2a216a031d8403458bdd">factor_cov_matrix</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;Sigma, Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;sds)</td></tr>
+<tr class="memdesc:a9d6ef71b2e1a2a216a031d8403458bdd"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function is intended to make starting values, given a covariance matrix Sigma.  <a href="#a9d6ef71b2e1a2a216a031d8403458bdd">More...</a><br /></td></tr>
+<tr class="separator:a9d6ef71b2e1a2a216a031d8403458bdd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa6d09763679360f53f07ae20e8efc262"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aa6d09763679360f53f07ae20e8efc262"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa6d09763679360f53f07ae20e8efc262">factor_U</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;U, Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs)</td></tr>
+<tr class="memdesc:aa6d09763679360f53f07ae20e8efc262"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function is intended to make starting values, given a unit upper-triangular matrix U such that U'DU is a correlation matrix.  <a href="#aa6d09763679360f53f07ae20e8efc262">More...</a><br /></td></tr>
+<tr class="separator:aa6d09763679360f53f07ae20e8efc262"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a73e791042ed648602eed1754679feff4"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C, typename S &gt; </td></tr>
+<tr class="memitem:a73e791042ed648602eed1754679feff4"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a73e791042ed648602eed1754679feff4">fill</a> (Eigen::Matrix&lt; T, R, C &gt; &amp;x, const S &amp;y)</td></tr>
+<tr class="memdesc:a73e791042ed648602eed1754679feff4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fill the specified container with the specified value.  <a href="#a73e791042ed648602eed1754679feff4">More...</a><br /></td></tr>
+<tr class="separator:a73e791042ed648602eed1754679feff4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7535c86e2c9ee9d5391a8cc63187317e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a7535c86e2c9ee9d5391a8cc63187317e"><td class="memTemplItemLeft" align="right" valign="top">const T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7535c86e2c9ee9d5391a8cc63187317e">get_base1</a> (const std::vector&lt; T &gt; &amp;x, size_t i, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:a7535c86e2c9ee9d5391a8cc63187317e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified vector at the specified base-one index.  <a href="#a7535c86e2c9ee9d5391a8cc63187317e">More...</a><br /></td></tr>
+<tr class="separator:a7535c86e2c9ee9d5391a8cc63187317e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aca7c84b936da0d3422507927cf9a68cc"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aca7c84b936da0d3422507927cf9a68cc"><td class="memTemplItemLeft" align="right" valign="top">const T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aca7c84b936da0d3422507927cf9a68cc">get_base1</a> (const std::vector&lt; std::vector&lt; T &gt; &gt; &amp;x, size_t i1, size_t i2, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:aca7c84b936da0d3422507927cf9a68cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified vector at the specified base-one indexes.  <a href="#aca7c84b936da0d3422507927cf9a68cc">More...</a><br /></td></tr>
+<tr class="separator:aca7c84b936da0d3422507927cf9a68cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a714e39ba9fcbbd90c787a51d511c9af1"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a714e39ba9fcbbd90c787a51d511c9af1"><td class="memTemplItemLeft" align="right" valign="top">const T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a714e39ba9fcbbd90c787a51d511c9af1">get_base1</a> (const std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &amp;x, size_t i1, size_t i2, size_t i3, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:a714e39ba9fcbbd90c787a51d511c9af1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified vector at the specified base-one indexes.  <a href="#a714e39ba9fcbbd90c787a51d511c9af1">More...</a><br /></td></tr>
+<tr class="separator:a714e39ba9fcbbd90c787a51d511c9af1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa23b355397df347249da513307fd6667"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aa23b355397df347249da513307fd6667"><td class="memTemplItemLeft" align="right" valign="top">const T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa23b355397df347249da513307fd6667">get_base1</a> (const std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &amp;x, size_t i1, size_t i2, size_t i3, size_t i4, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:aa23b355397df347249da513307fd6667"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified vector at the specified base-one indexes.  <a href="#aa23b355397df347249da513307fd6667">More...</a><br /></td></tr>
+<tr class="separator:aa23b355397df347249da513307fd6667"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a25c1fac0445beea55c521c94f360e13e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a25c1fac0445beea55c521c94f360e13e"><td class="memTemplItemLeft" align="right" valign="top">const T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a25c1fac0445beea55c521c94f360e13e">get_base1</a> (const std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &amp;x, size_t i1, size_t i2, size_t i3, size_t i4, size_t i5, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:a25c1fac0445beea55c521c94f360e13e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified vector at the specified base-one indexes.  <a href="#a25c1fac0445beea55c521c94f360e13e">More...</a><br /></td></tr>
+<tr class="separator:a25c1fac0445beea55c521c94f360e13e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a20a82151947fc8816c5ce5b7bc6d8abd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a20a82151947fc8816c5ce5b7bc6d8abd"><td class="memTemplItemLeft" align="right" valign="top">const T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a20a82151947fc8816c5ce5b7bc6d8abd">get_base1</a> (const std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &amp;x, size_t i1, size_t i2, size_t i3, size_t i4, size_t i5, size_t i6, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:a20a82151947fc8816c5ce5b7bc6d8abd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified vector at the specified base-one indexes.  <a href="#a20a82151947fc8816c5ce5b7bc6d8abd">More...</a><br /></td></tr>
+<tr class="separator:a20a82151947fc8816c5ce5b7bc6d8abd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6fb72caff19c8ce19dc6e3c25c79f7b8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6fb72caff19c8ce19dc6e3c25c79f7b8"><td class="memTemplItemLeft" align="right" valign="top">const T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6fb72caff19c8ce19dc6e3c25c79f7b8">get_base1</a> (const std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &gt; &amp;x, size_t i1, size_t i2, size_t i3, size_t i4, size_t i5, size_t i6, size_t i7, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:a6fb72caff19c8ce19dc6e3c25c79f7b8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified vector at the specified base-one indexes.  <a href="#a6fb72caff19c8ce19dc6e3c25c79f7b8">More...</a><br /></td></tr>
+<tr class="separator:a6fb72caff19c8ce19dc6e3c25c79f7b8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:accc97dd76490d575638ebb22da233a53"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:accc97dd76490d575638ebb22da233a53"><td class="memTemplItemLeft" align="right" valign="top">const T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#accc97dd76490d575638ebb22da233a53">get_base1</a> (const std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &gt; &gt; &amp;x, size_t i1, size_t i2, size_t i3, size_t i4, size_t i5, size_t i6, size_t i7, size_t i8, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:accc97dd76490d575638ebb22da233a53"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified vector at the specified base-one indexes.  <a href="#accc97dd76490d575638ebb22da233a53">More...</a><br /></td></tr>
+<tr class="separator:accc97dd76490d575638ebb22da233a53"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8d5ea3228150cb118441cced9ed49a92"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8d5ea3228150cb118441cced9ed49a92"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8d5ea3228150cb118441cced9ed49a92">get_base1</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;x, size_t m, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:a8d5ea3228150cb118441cced9ed49a92"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a copy of the row of the specified vector at the specified base-one row index.  <a href="#a8d5ea3228150cb118441cced9ed49a92">More...</a><br /></td></tr>
+<tr class="separator:a8d5ea3228150cb118441cced9ed49a92"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a51091bb67549e42c241f4e08e7d291d6"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a51091bb67549e42c241f4e08e7d291d6"><td class="memTemplItemLeft" align="right" valign="top">const T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a51091bb67549e42c241f4e08e7d291d6">get_base1</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;x, size_t m, size_t n, const char *error_msg, size_t idx)</td></tr>
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+<tr class="separator:a51091bb67549e42c241f4e08e7d291d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab0dbeed50ff3f8630ea3cd54f9ecb804"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:ab0dbeed50ff3f8630ea3cd54f9ecb804"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abf9dcd5236495d3f581b31dd05b9a227"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:abf9dcd5236495d3f581b31dd05b9a227"><td class="memTemplItemLeft" align="right" valign="top">const T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abf9dcd5236495d3f581b31dd05b9a227">get_base1</a> (const Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &amp;x, size_t n, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:abf9dcd5236495d3f581b31dd05b9a227"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified row vector at the specified base-one index.  <a href="#abf9dcd5236495d3f581b31dd05b9a227">More...</a><br /></td></tr>
+<tr class="separator:abf9dcd5236495d3f581b31dd05b9a227"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac54b1427fd9d0765f0200dc9caa830f9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:ac54b1427fd9d0765f0200dc9caa830f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified vector at the specified base-one index.  <a href="#ac54b1427fd9d0765f0200dc9caa830f9">More...</a><br /></td></tr>
+<tr class="separator:ac54b1427fd9d0765f0200dc9caa830f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4d5711f99869d05a6263218f3256e582"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a4d5711f99869d05a6263218f3256e582"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a37f3ceaa6197904ef662f1edc8245e1a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a37f3ceaa6197904ef662f1edc8245e1a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3132eb36eaf861cfbd119b38e0a85a15"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a3132eb36eaf861cfbd119b38e0a85a15"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afbcc061003aabcaf675f4415adc80c0a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:afbcc061003aabcaf675f4415adc80c0a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1958245532761be08be7ac9bc781f3a7"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a1958245532761be08be7ac9bc781f3a7"><td class="memTemplItemLeft" align="right" valign="top">T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1958245532761be08be7ac9bc781f3a7">get_base1_lhs</a> (std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &amp;x, size_t i1, size_t i2, size_t i3, size_t i4, size_t i5, size_t i6, const char *error_msg, size_t idx)</td></tr>
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+<tr class="separator:a1958245532761be08be7ac9bc781f3a7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aedc7fc712ebe439bec1892c8f69447cd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aedc7fc712ebe439bec1892c8f69447cd"><td class="memTemplItemLeft" align="right" valign="top">T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aedc7fc712ebe439bec1892c8f69447cd">get_base1_lhs</a> (std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &gt; &amp;x, size_t i1, size_t i2, size_t i3, size_t i4, size_t i5, size_t i6, size_t i7, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:aedc7fc712ebe439bec1892c8f69447cd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified vector at the specified base-one indexes.  <a href="#aedc7fc712ebe439bec1892c8f69447cd">More...</a><br /></td></tr>
+<tr class="separator:aedc7fc712ebe439bec1892c8f69447cd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a64467731d9abfaf97ea8d541d528142c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a64467731d9abfaf97ea8d541d528142c"><td class="memTemplItemLeft" align="right" valign="top">T &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a64467731d9abfaf97ea8d541d528142c">get_base1_lhs</a> (std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &gt; &gt; &amp;x, size_t i1, size_t i2, size_t i3, size_t i4, size_t i5, size_t i6, size_t i7, size_t i8, const char *error_msg, size_t idx)</td></tr>
+<tr class="memdesc:a64467731d9abfaf97ea8d541d528142c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a reference to the value of the specified vector at the specified base-one indexes.  <a href="#a64467731d9abfaf97ea8d541d528142c">More...</a><br /></td></tr>
+<tr class="separator:a64467731d9abfaf97ea8d541d528142c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0843cd960568745e5ace70f2c45ec6c3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a0843cd960568745e5ace70f2c45ec6c3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af8cb7e6e670cddcdf5527ec92fa3ff37"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:af8cb7e6e670cddcdf5527ec92fa3ff37"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adffeab694f7588c92dc97b6736e5be7b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:adffeab694f7588c92dc97b6736e5be7b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6133d90708e16760b6394c6ca6a305ff"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a6133d90708e16760b6394c6ca6a305ff"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac0fd1b6e6ba9738332204bae823dc006"><td class="memTemplParams" colspan="2">template&lt;typename T_lp , typename T_lp_accum &gt; </td></tr>
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+<tr class="separator:ac0fd1b6e6ba9738332204bae823dc006"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae824fde6dc6e0f4ac3d37b86fb266414"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:ae824fde6dc6e0f4ac3d37b86fb266414"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified number of elements as a vector from the front of the specified vector.  <a href="#ae824fde6dc6e0f4ac3d37b86fb266414">More...</a><br /></td></tr>
+<tr class="separator:ae824fde6dc6e0f4ac3d37b86fb266414"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ada1d4ceb7d5aac027e9ec6adcb18755a"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:ada1d4ceb7d5aac027e9ec6adcb18755a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5e746ba14994b318a0a192a97a0a28db"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a5e746ba14994b318a0a192a97a0a28db"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified number of elements as a standard vector from the front of the specified standard vector.  <a href="#a5e746ba14994b318a0a192a97a0a28db">More...</a><br /></td></tr>
+<tr class="separator:a5e746ba14994b318a0a192a97a0a28db"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af81e05dfd6918524dafff10715f21a8d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:af81e05dfd6918524dafff10715f21a8d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5ad7882cc7a7e2e07016e006d2092427"><td class="memTemplParams" colspan="2">template&lt;typename T , typename V &gt; </td></tr>
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+<tr class="separator:a5ad7882cc7a7e2e07016e006d2092427"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1cb47e7569cabd57a1c0c6816ca48293"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C, typename V &gt; </td></tr>
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+<tr class="separator:a1cb47e7569cabd57a1c0c6816ca48293"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad27706378f77dc22746ad74721d495d4"><td class="memTemplParams" colspan="2">template&lt;typename T , typename V &gt; </td></tr>
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+<tr class="separator:ad27706378f77dc22746ad74721d495d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad621964cbb3b06ba80811cd58e3048a0"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:ad621964cbb3b06ba80811cd58e3048a0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a69d2c003918b45e95edb84ea58b84c68"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a69d2c003918b45e95edb84ea58b84c68"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ac3b52b30a04e9a9f216b49ef06ab7a61"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aca29dad18932e3ca17ac52fd0238b364"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:aca29dad18932e3ca17ac52fd0238b364"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1d95f632b80e8653fe5891209bdeda45"><td class="memTemplParams" colspan="2">template&lt;int R, int C, typename T &gt; </td></tr>
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+<tr class="separator:a1d95f632b80e8653fe5891209bdeda45"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae9a296d4414d0193108c70b350a05cfc"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="memdesc:ae9a296d4414d0193108c70b350a05cfc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log absolute determinant of the specified square matrix.  <a href="#ae9a296d4414d0193108c70b350a05cfc">More...</a><br /></td></tr>
+<tr class="separator:ae9a296d4414d0193108c70b350a05cfc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0f60a82d68ef90f7cd5e9f02f121a5d1"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a0f60a82d68ef90f7cd5e9f02f121a5d1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac1fb47266493c7da21a6508944d65bdf"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
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+<tr class="separator:ac1fb47266493c7da21a6508944d65bdf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a71d39c88943f3fb8e45759c62d68953b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a71d39c88943f3fb8e45759c62d68953b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5da0ef87756d3dbd20ca4ff5a3efa10d"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a> (const std::vector&lt; int &gt; &amp;x)</td></tr>
+<tr class="memdesc:a5da0ef87756d3dbd20ca4ff5a3efa10d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the maximum coefficient in the specified column vector.  <a href="#a5da0ef87756d3dbd20ca4ff5a3efa10d">More...</a><br /></td></tr>
+<tr class="separator:a5da0ef87756d3dbd20ca4ff5a3efa10d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acde414919e0e4dcfa72d565679819091"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:acde414919e0e4dcfa72d565679819091"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acde414919e0e4dcfa72d565679819091">max</a> (const std::vector&lt; T &gt; &amp;x)</td></tr>
+<tr class="memdesc:acde414919e0e4dcfa72d565679819091"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the maximum coefficient in the specified column vector.  <a href="#acde414919e0e4dcfa72d565679819091">More...</a><br /></td></tr>
+<tr class="separator:acde414919e0e4dcfa72d565679819091"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae3f299773dc20e8305fc16df1be8d029"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="memdesc:ae3f299773dc20e8305fc16df1be8d029"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the maximum coefficient in the specified vector, row vector, or matrix.  <a href="#ae3f299773dc20e8305fc16df1be8d029">More...</a><br /></td></tr>
+<tr class="separator:ae3f299773dc20e8305fc16df1be8d029"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a78e254b9ffb28a6fe6820f9f84412907"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a78e254b9ffb28a6fe6820f9f84412907"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a78e254b9ffb28a6fe6820f9f84412907">mdivide_left</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="memdesc:a78e254b9ffb28a6fe6820f9f84412907"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b.  <a href="#a78e254b9ffb28a6fe6820f9f84412907">More...</a><br /></td></tr>
+<tr class="separator:a78e254b9ffb28a6fe6820f9f84412907"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8d06ecbc0a8e5cc50c42861bb20f1b0e"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2, typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a8d06ecbc0a8e5cc50c42861bb20f1b0e"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8d06ecbc0a8e5cc50c42861bb20f1b0e">mdivide_left_ldlt</a> (const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T1, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;b)</td></tr>
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+<tr class="separator:a8d06ecbc0a8e5cc50c42861bb20f1b0e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af0e78140ced17ce9be79c29b9f23321b"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:af0e78140ced17ce9be79c29b9f23321b"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af0e78140ced17ce9be79c29b9f23321b">mdivide_left_spd</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="memdesc:af0e78140ced17ce9be79c29b9f23321b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b where A is symmetric positive definite.  <a href="#af0e78140ced17ce9be79c29b9f23321b">More...</a><br /></td></tr>
+<tr class="separator:af0e78140ced17ce9be79c29b9f23321b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9ef591181f40598fd3c012c6e5e354d"><td class="memTemplParams" colspan="2">template&lt;int TriView, typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="memdesc:ab9ef591181f40598fd3c012c6e5e354d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b when A is triangular.  <a href="#ab9ef591181f40598fd3c012c6e5e354d">More...</a><br /></td></tr>
+<tr class="separator:ab9ef591181f40598fd3c012c6e5e354d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1e94b2554b4728e4932aded1d71eb026"><td class="memTemplParams" colspan="2">template&lt;int TriView, typename T , int R1, int C1&gt; </td></tr>
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+<tr class="memdesc:a1e94b2554b4728e4932aded1d71eb026"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b when A is triangular and b=I.  <a href="#a1e94b2554b4728e4932aded1d71eb026">More...</a><br /></td></tr>
+<tr class="separator:a1e94b2554b4728e4932aded1d71eb026"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a154c4bb61dd8dce054238940b75aeaac"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a154c4bb61dd8dce054238940b75aeaac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afdd9357ad5b52be5547eecdde95e968b"><td class="memTemplParams" colspan="2">template&lt;typename T , int R1, int C1&gt; </td></tr>
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+<tr class="separator:afdd9357ad5b52be5547eecdde95e968b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a3fc8c5bb0af596842ae6cc7f11556f56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad9f8ca30a27a0a70d32477a9fb4c4e25"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:ad9f8ca30a27a0a70d32477a9fb4c4e25"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1f4edbfe01ea37356acd24cc948425c8"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a1f4edbfe01ea37356acd24cc948425c8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab73c90537220c0205f5355895a14621c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a43a692492445dff37a2594267d530796"><td class="memTemplParams" colspan="2">template&lt;int TriView, typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a43a692492445dff37a2594267d530796"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a38aef2711a500bdb997863f0dc6b5d17"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a38aef2711a500bdb997863f0dc6b5d17"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3443c4ac994b039a7f055c55c5afa8a3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a3443c4ac994b039a7f055c55c5afa8a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8074c0041b93407c473fd26a7c45dc88"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:a8074c0041b93407c473fd26a7c45dc88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3f076860549f63d55c0e4985dce78099"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3f076860549f63d55c0e4985dce78099">min</a> (const std::vector&lt; int &gt; &amp;x)</td></tr>
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+<tr class="separator:a3f076860549f63d55c0e4985dce78099"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9e9c3a01030d96fd4c8f28e2ed8d3d61"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9e9c3a01030d96fd4c8f28e2ed8d3d61"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9e9c3a01030d96fd4c8f28e2ed8d3d61">min</a> (const std::vector&lt; T &gt; &amp;x)</td></tr>
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+<tr class="separator:a9e9c3a01030d96fd4c8f28e2ed8d3d61"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a86f2380e5c54a549e0f74ffd51204d33"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the minimum coefficient in the specified matrix, vector, or row vector.  <a href="#a86f2380e5c54a549e0f74ffd51204d33">More...</a><br /></td></tr>
+<tr class="separator:a86f2380e5c54a549e0f74ffd51204d33"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a87b343d6dc12982c2b76c453650c0797"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a87b343d6dc12982c2b76c453650c0797"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a87b343d6dc12982c2b76c453650c0797">minus</a> (const T &amp;x)</td></tr>
+<tr class="memdesc:a87b343d6dc12982c2b76c453650c0797"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the negation of the specified scalar or matrix.  <a href="#a87b343d6dc12982c2b76c453650c0797">More...</a><br /></td></tr>
+<tr class="separator:a87b343d6dc12982c2b76c453650c0797"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a919d4a6495c489841df3d0423200b147"><td class="memTemplParams" colspan="2">template&lt;int R, int C, typename T &gt; </td></tr>
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+<tr class="separator:a919d4a6495c489841df3d0423200b147"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5a2b6dbfb5543b73dac8496091745ec1"><td class="memTemplParams" colspan="2">template&lt;int R, int C, typename T &gt; </td></tr>
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+<tr class="memdesc:a5a2b6dbfb5543b73dac8496091745ec1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return specified scalar multiplied by specified matrix.  <a href="#a5a2b6dbfb5543b73dac8496091745ec1">More...</a><br /></td></tr>
+<tr class="separator:a5a2b6dbfb5543b73dac8496091745ec1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aeefbdef5245cd4f80dcee30d2a36131f"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="memdesc:aeefbdef5245cd4f80dcee30d2a36131f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the product of the specified matrices.  <a href="#aeefbdef5245cd4f80dcee30d2a36131f">More...</a><br /></td></tr>
+<tr class="separator:aeefbdef5245cd4f80dcee30d2a36131f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6e67698775aaac248efa49b646ca2a51"><td class="memTemplParams" colspan="2">template&lt;int C1, int R2&gt; </td></tr>
+<tr class="memitem:a6e67698775aaac248efa49b646ca2a51"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6e67698775aaac248efa49b646ca2a51">multiply</a> (const Eigen::Matrix&lt; double, 1, C1 &gt; &amp;rv, const Eigen::Matrix&lt; double, R2, 1 &gt; &amp;v)</td></tr>
+<tr class="memdesc:a6e67698775aaac248efa49b646ca2a51"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the scalar product of the specified row vector and specified column vector.  <a href="#a6e67698775aaac248efa49b646ca2a51">More...</a><br /></td></tr>
+<tr class="separator:a6e67698775aaac248efa49b646ca2a51"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3c0c953951f141b35277fe2308777cff"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">matrix_d</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3c0c953951f141b35277fe2308777cff">multiply_lower_tri_self_transpose</a> (const <a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">matrix_d</a> &amp;L)</td></tr>
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+<tr class="separator:a3c0c953951f141b35277fe2308777cff"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac360c5b10dbf87d81e346f2be7d19ade"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ac360c5b10dbf87d81e346f2be7d19ade"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac360c5b10dbf87d81e346f2be7d19ade">num_elements</a> (const T &amp;x)</td></tr>
+<tr class="memdesc:ac360c5b10dbf87d81e346f2be7d19ade"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns 1, the number of elements in a primitive type.  <a href="#ac360c5b10dbf87d81e346f2be7d19ade">More...</a><br /></td></tr>
+<tr class="separator:ac360c5b10dbf87d81e346f2be7d19ade"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3e716815601bf5055a2d7fbfd8a757ea"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a3e716815601bf5055a2d7fbfd8a757ea"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3e716815601bf5055a2d7fbfd8a757ea">num_elements</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:a3e716815601bf5055a2d7fbfd8a757ea"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the size of the specified matrix.  <a href="#a3e716815601bf5055a2d7fbfd8a757ea">More...</a><br /></td></tr>
+<tr class="separator:a3e716815601bf5055a2d7fbfd8a757ea"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a38a5d6d7f867666902fcd0adbe602920"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a38a5d6d7f867666902fcd0adbe602920"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the number of elements in the specified vector.  <a href="#a38a5d6d7f867666902fcd0adbe602920">More...</a><br /></td></tr>
+<tr class="separator:a38a5d6d7f867666902fcd0adbe602920"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5062f9b21b2fb755ad3189fe236bed93"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a5062f9b21b2fb755ad3189fe236bed93"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae5638796e15590c237b7eaece1531631"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:ae5638796e15590c237b7eaece1531631"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a679b3a9baaf02aeee0c15d763efa06b0"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a679b3a9baaf02aeee0c15d763efa06b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the vector of unconstrained scalars that transform to the specified positive ordered vector.  <a href="#a679b3a9baaf02aeee0c15d763efa06b0">More...</a><br /></td></tr>
+<tr class="separator:a679b3a9baaf02aeee0c15d763efa06b0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ada937f012b7d54cebdf8d9414f6fdbad"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:ada937f012b7d54cebdf8d9414f6fdbad"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7879746a7bed2564ae72c2916658e5a5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a7879746a7bed2564ae72c2916658e5a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af81e69a15e82f86eefba93f8dcd3966e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:af81e69a15e82f86eefba93f8dcd3966e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1649a895ec6e79097d5645a3f8b8a1e6"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a1649a895ec6e79097d5645a3f8b8a1e6"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1649a895ec6e79097d5645a3f8b8a1e6">prod</a> (const std::vector&lt; T &gt; &amp;v)</td></tr>
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+<tr class="separator:a1649a895ec6e79097d5645a3f8b8a1e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad7082de8742d87f7a0fa0842207341c9"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="memitem:a300cf63dd3332cff2161fdc32aec4026"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename F &gt; </td></tr>
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+<tr class="memitem:aebb8132560117eeef1a07ced4b144598"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a88f53cb144d0e550d5113e565a91a947"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8166027d80ecdbc607ef3c1c44fd1e8d"><td class="memTemplParams" colspan="2">template&lt;int RA, int CA, int RB, typename T &gt; </td></tr>
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+<tr class="separator:a216dec01fa6146c53b9ec51c5e9dda8d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4b444aaebeed885fecdbce67ae69498c"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:a4b444aaebeed885fecdbce67ae69498c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a57f4b9ccc58d2d03aec434abb0795e41"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:af6d327921ea7356872f0eec002c0b032"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2510336c2dac321c32b171f8ef407a06"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a09c8a74b36fb456b0baf2d049427487b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a34dc4b0fb00808b0d444b2c656c44c28"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:aecf731d715f789bfad7dbb712851c52e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a60bca98247a2b43a06388e08eade3ea5"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a323f6ee7be13a0f7fa7cffa12204ba88"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memitem:a8abf3ffa6d67a158348134225c9d3090"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8abf3ffa6d67a158348134225c9d3090"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8abf3ffa6d67a158348134225c9d3090">resize</a> (T &amp;x, std::vector&lt; size_t &gt; <a class="el" href="namespacestan_1_1math.html#a2b9073e39033e56eb31344091f0170fd">dims</a>)</td></tr>
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+<tr class="separator:a8abf3ffa6d67a158348134225c9d3090"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab98e74182d133e210dda425a689f2fb3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:ab98e74182d133e210dda425a689f2fb3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae17fdbe8f98c5d6c887b49f99e6d4a03"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:ae17fdbe8f98c5d6c887b49f99e6d4a03"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6e1fb33918f8c4e61cc7709905db012c"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a6e1fb33918f8c4e61cc7709905db012c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1ae75387d4a15a928dfe2be6c987e2cb"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:a1ae75387d4a15a928dfe2be6c987e2cb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a34fd02fe795ea38c98f4a02befed309f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a34fd02fe795ea38c98f4a02befed309f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8e1cb72c1528f0ff383033c642341147"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:a8e1cb72c1528f0ff383033c642341147"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad87f51c66f702f242b3c5d207896f5d8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:ad87f51c66f702f242b3c5d207896f5d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6068f2afa41aeec7f65229719dfda963"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a6068f2afa41aeec7f65229719dfda963"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a721232b5c8e7c068a120719255f5fb0c"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a721232b5c8e7c068a120719255f5fb0c">segment</a> (const std::vector&lt; T &gt; &amp;sv, size_t i, size_t n)</td></tr>
+<tr class="separator:a721232b5c8e7c068a120719255f5fb0c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6341abfdbb8a7f35432a73f27b131688"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a6341abfdbb8a7f35432a73f27b131688"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the simplex corresponding to the specified free vector.  <a href="#a6341abfdbb8a7f35432a73f27b131688">More...</a><br /></td></tr>
+<tr class="separator:a6341abfdbb8a7f35432a73f27b131688"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a552a1c130bd90d93271bc9169b2e0ce2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a552a1c130bd90d93271bc9169b2e0ce2"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a552a1c130bd90d93271bc9169b2e0ce2">simplex_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;y, T &amp;lp)</td></tr>
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+<tr class="separator:a552a1c130bd90d93271bc9169b2e0ce2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a110fab43edbb2ebb9206643900083971"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a110fab43edbb2ebb9206643900083971"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return an unconstrained vector that when transformed produces the specified simplex.  <a href="#a110fab43edbb2ebb9206643900083971">More...</a><br /></td></tr>
+<tr class="separator:a110fab43edbb2ebb9206643900083971"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a56518b3d36f8b7ce72c9b8f4b77c8f22"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a56518b3d36f8b7ce72c9b8f4b77c8f22"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a56518b3d36f8b7ce72c9b8f4b77c8f22">singular_values</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</td></tr>
+<tr class="memdesc:a56518b3d36f8b7ce72c9b8f4b77c8f22"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the vector of the singular values of the specified matrix in decreasing order of magnitude.  <a href="#a56518b3d36f8b7ce72c9b8f4b77c8f22">More...</a><br /></td></tr>
+<tr class="separator:a56518b3d36f8b7ce72c9b8f4b77c8f22"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1f9966aade9c4515d33d3ffa7305462"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:aa1f9966aade9c4515d33d3ffa7305462"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the size of the specified standard vector.  <a href="#aa1f9966aade9c4515d33d3ffa7305462">More...</a><br /></td></tr>
+<tr class="separator:aa1f9966aade9c4515d33d3ffa7305462"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acd226ffb6c2a089f2e133b74b5fed2b0"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:acd226ffb6c2a089f2e133b74b5fed2b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the softmax of the specified vector.  <a href="#acd226ffb6c2a089f2e133b74b5fed2b0">More...</a><br /></td></tr>
+<tr class="separator:acd226ffb6c2a089f2e133b74b5fed2b0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a80f5418b16ea26e9bc6d2a8f9b764897"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a80f5418b16ea26e9bc6d2a8f9b764897"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a80f5418b16ea26e9bc6d2a8f9b764897">sort_asc</a> (std::vector&lt; T &gt; xs)</td></tr>
+<tr class="memdesc:a80f5418b16ea26e9bc6d2a8f9b764897"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified standard vector in ascending order.  <a href="#a80f5418b16ea26e9bc6d2a8f9b764897">More...</a><br /></td></tr>
+<tr class="separator:a80f5418b16ea26e9bc6d2a8f9b764897"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab0b2712eab9b95535c0589455ed11cfc"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:ab0b2712eab9b95535c0589455ed11cfc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af9e46c9e96c0e88cc503e4b903247cce"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:af9e46c9e96c0e88cc503e4b903247cce"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60648efc106b7596ddc356b765b6df81"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:a60648efc106b7596ddc356b765b6df81"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4a13ccb29cba05ef0daa9712ee9bf7a3"><td class="memTemplParams" colspan="2">template&lt;typename C &gt; </td></tr>
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+<tr class="separator:a4a13ccb29cba05ef0daa9712ee9bf7a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a27f6f9085eb850e9e0fcb98df345aeba"><td class="memTemplParams" colspan="2">template&lt;typename C &gt; </td></tr>
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+<tr class="separator:a27f6f9085eb850e9e0fcb98df345aeba"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a292e430d422bfe4984f9eaa1d20840ab"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2, typename T1 , typename T2 &gt; </td></tr>
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+<tr class="separator:a292e430d422bfe4984f9eaa1d20840ab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7c14b7fd70050f03a07fdf73a1df06d2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a943cb439569c2dc588661a1cc171e2d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a019d635ee39f24b69c3f27e96bba4be1"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memitem:a55548f1b502d1dd6283268b79fc41507"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a55548f1b502d1dd6283268b79fc41507"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a7d79ddf4f28c8bd68ae569b94fb693c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a16b07b3f7d18cdb710806c5793a83d31"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa21ef8b682892947fbb2059e137d03dd"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="memitem:ade6f4ebba197a343912387588ac340f3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a7001fd7e0296d5dae6ab0a88e1a28547"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8fb2aa245d794e2a6c352038f4811a37"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a09d402800ee27ba77d03dc3ec365d22e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a89f315f3af384f2d49a3a26eaef209ac"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<tr class="separator:ab02536354716bc493098010f66db1209"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a65fb60ad466e375f68798ff25881e378"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ae6b0847f7611d8f396a1f4e112200185"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a87ad8ec419583e8d9ed0c8ab4c5094bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa433ac2fc47bbd40a6d87f62574dff85"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:aa433ac2fc47bbd40a6d87f62574dff85"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a1f055da8754c2215aac70d7787692f54"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab34b9d54bbdc2b13f358a73a3dface45"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a8b6ed64f691a457cb6691d7b478b4a1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:ad4e08116b9ebf4a6592aa9f8fa393669"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad4e08116b9ebf4a6592aa9f8fa393669"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad4e08116b9ebf4a6592aa9f8fa393669">log_inv_logit_diff</a> (const T &amp;alpha, const T &amp;beta)</td></tr>
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+<tr class="separator:aae845ae3d07989bc9976a15f52caa997"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5623d34d128b956b6dfb2031150c8c87"><td class="memTemplParams" colspan="2">template&lt;typename T_lambda , typename T_cut &gt; </td></tr>
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+<tr class="separator:a91db893054b635d18034d06c161365a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a951a06ccbb12ca44a08544000372dbf1"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_scale &gt; </td></tr>
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+<tr class="memitem:a16d53b31b377bc3fc120d6469af3d99e"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_low , typename T_high &gt; </td></tr>
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+<tr class="memdesc:a16d53b31b377bc3fc120d6469af3d99e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the value is between the low and high values, inclusively.  <a href="#a16d53b31b377bc3fc120d6469af3d99e">More...</a><br /></td></tr>
+<tr class="separator:a16d53b31b377bc3fc120d6469af3d99e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6b6ab798e2f2a2ffad6b244efab0a58f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a6b6ab798e2f2a2ffad6b244efab0a58f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the dimension of x is consistent, which is defined to be <code>expected_size</code> if x is a vector or 1 if x is not a vector.  <a href="#a6b6ab798e2f2a2ffad6b244efab0a58f">More...</a><br /></td></tr>
+<tr class="separator:a6b6ab798e2f2a2ffad6b244efab0a58f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
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+<tr class="separator:a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2fa5d10851fe1307ed7a0ffb768ff861"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename T3 &gt; </td></tr>
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+<tr class="separator:a2fa5d10851fe1307ed7a0ffb768ff861"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a817ff4687b2d9d98f7f7bf82e9286266"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename T3 , typename T4 &gt; </td></tr>
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+<tr class="separator:a817ff4687b2d9d98f7f7bf82e9286266"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8496e1bd1273f06de6712e3fb81e2c3f"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename T3 , typename T4 , typename T5 &gt; </td></tr>
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+<tr class="separator:a1d8cfae284cdae1bb7e83d2a136f9a04"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_low &gt; </td></tr>
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+<tr class="separator:ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3d5b19f8930c14681349d8444142487e"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_low &gt; </td></tr>
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+<tr class="separator:a3d5b19f8930c14681349d8444142487e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aab225792149dceaec443ce09b93f8744"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_high &gt; </td></tr>
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+<tr class="separator:aab225792149dceaec443ce09b93f8744"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5e9dd0895901bf876eca824b41f04003"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_high &gt; </td></tr>
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+<tr class="separator:a5e9dd0895901bf876eca824b41f04003"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7a6be100befb6d08504cf5af8440b236"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="separator:a7a6be100befb6d08504cf5af8440b236"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7942532ef8f89cee24af75a383835ee1"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a7942532ef8f89cee24af75a383835ee1"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a> (const char *function, const char *name, const T_y &amp;y)</td></tr>
+<tr class="memdesc:a7942532ef8f89cee24af75a383835ee1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is not <code>NaN</code>.  <a href="#a7942532ef8f89cee24af75a383835ee1">More...</a><br /></td></tr>
+<tr class="separator:a7942532ef8f89cee24af75a383835ee1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a814694b1125e641ca7b2e7269c82f966"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
+<tr class="memitem:a814694b1125e641ca7b2e7269c82f966"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a> (const char *function, const char *name, const T_y &amp;y)</td></tr>
+<tr class="memdesc:a814694b1125e641ca7b2e7269c82f966"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is positive.  <a href="#a814694b1125e641ca7b2e7269c82f966">More...</a><br /></td></tr>
+<tr class="separator:a814694b1125e641ca7b2e7269c82f966"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af0725693b09e454f5c8327ac89cf0245"><td class="memTemplParams" colspan="2">template&lt;typename T_y &gt; </td></tr>
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+<tr class="memdesc:af0725693b09e454f5c8327ac89cf0245"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>y</code> is positive and finite.  <a href="#af0725693b09e454f5c8327ac89cf0245">More...</a><br /></td></tr>
+<tr class="separator:af0725693b09e454f5c8327ac89cf0245"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac6fe1398a136f3dc36d246a2ea747500"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac6fe1398a136f3dc36d246a2ea747500">check_positive_size</a> (const char *function, const char *name, const char *expr, const int <a class="el" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>)</td></tr>
+<tr class="memdesc:ac6fe1398a136f3dc36d246a2ea747500"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if <code>size</code> is positive.  <a href="#ac6fe1398a136f3dc36d246a2ea747500">More...</a><br /></td></tr>
+<tr class="separator:ac6fe1398a136f3dc36d246a2ea747500"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa547146eaac690e79a611e50a6dffb4d"><td class="memTemplParams" colspan="2">template&lt;typename T_size1 , typename T_size2 &gt; </td></tr>
+<tr class="memitem:aa547146eaac690e79a611e50a6dffb4d"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a> (const char *function, const char *name_i, T_size1 i, const char *name_j, T_size2 j)</td></tr>
+<tr class="memdesc:aa547146eaac690e79a611e50a6dffb4d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the provided sizes match.  <a href="#aa547146eaac690e79a611e50a6dffb4d">More...</a><br /></td></tr>
+<tr class="separator:aa547146eaac690e79a611e50a6dffb4d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0c66b22fce7bd878b687d550299eb248"><td class="memTemplParams" colspan="2">template&lt;typename T_size1 , typename T_size2 &gt; </td></tr>
+<tr class="memitem:a0c66b22fce7bd878b687d550299eb248"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0c66b22fce7bd878b687d550299eb248">check_size_match</a> (const char *function, const char *expr_i, const char *name_i, T_size1 i, const char *expr_j, const char *name_j, T_size2 j)</td></tr>
+<tr class="memdesc:a0c66b22fce7bd878b687d550299eb248"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the provided sizes match.  <a href="#a0c66b22fce7bd878b687d550299eb248">More...</a><br /></td></tr>
+<tr class="separator:a0c66b22fce7bd878b687d550299eb248"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aeebafad688145fc64353e4f455d014bd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aeebafad688145fc64353e4f455d014bd"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a> (const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</td></tr>
+<tr class="memdesc:aeebafad688145fc64353e4f455d014bd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw a domain error with a consistently formatted message.  <a href="#aeebafad688145fc64353e4f455d014bd">More...</a><br /></td></tr>
+<tr class="separator:aeebafad688145fc64353e4f455d014bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a108d489a4a749c8e429b519d9e26c157"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a108d489a4a749c8e429b519d9e26c157"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a108d489a4a749c8e429b519d9e26c157">domain_error</a> (const char *function, const char *name, const T &amp;y, const char *msg1)</td></tr>
+<tr class="memdesc:a108d489a4a749c8e429b519d9e26c157"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw a domain error with a consistently formatted message.  <a href="#a108d489a4a749c8e429b519d9e26c157">More...</a><br /></td></tr>
+<tr class="separator:a108d489a4a749c8e429b519d9e26c157"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7c23bfe9ebcb5747ed175a59b2182072"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a7c23bfe9ebcb5747ed175a59b2182072"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7c23bfe9ebcb5747ed175a59b2182072">domain_error_vec</a> (const char *function, const char *name, const T &amp;y, const size_t i, const char *msg1, const char *msg2)</td></tr>
+<tr class="memdesc:a7c23bfe9ebcb5747ed175a59b2182072"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw a domain error with a consistently formatted message.  <a href="#a7c23bfe9ebcb5747ed175a59b2182072">More...</a><br /></td></tr>
+<tr class="separator:a7c23bfe9ebcb5747ed175a59b2182072"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae3f55be80da8ff729d5850c653d2b28d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ae3f55be80da8ff729d5850c653d2b28d"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae3f55be80da8ff729d5850c653d2b28d">domain_error_vec</a> (const char *function, const char *name, const T &amp;y, const size_t i, const char *msg)</td></tr>
+<tr class="memdesc:ae3f55be80da8ff729d5850c653d2b28d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw a domain error with a consistently formatted message.  <a href="#ae3f55be80da8ff729d5850c653d2b28d">More...</a><br /></td></tr>
+<tr class="separator:ae3f55be80da8ff729d5850c653d2b28d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9bcb1af5657f92ccadf5204fc43377fd"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9bcb1af5657f92ccadf5204fc43377fd"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9bcb1af5657f92ccadf5204fc43377fd">invalid_argument</a> (const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</td></tr>
+<tr class="memdesc:a9bcb1af5657f92ccadf5204fc43377fd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an invalid_argument exception with a consistently formatted message.  <a href="#a9bcb1af5657f92ccadf5204fc43377fd">More...</a><br /></td></tr>
+<tr class="separator:a9bcb1af5657f92ccadf5204fc43377fd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aacf5709c614035ef60053a348e18554c"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aacf5709c614035ef60053a348e18554c"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aacf5709c614035ef60053a348e18554c">invalid_argument</a> (const char *function, const char *name, const T &amp;y, const char *msg1)</td></tr>
+<tr class="memdesc:aacf5709c614035ef60053a348e18554c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an invalid_argument exception with a consistently formatted message.  <a href="#aacf5709c614035ef60053a348e18554c">More...</a><br /></td></tr>
+<tr class="separator:aacf5709c614035ef60053a348e18554c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:add7b2630385b99ef7045818ba8fe2a97"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:add7b2630385b99ef7045818ba8fe2a97"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#add7b2630385b99ef7045818ba8fe2a97">invalid_argument_vec</a> (const char *function, const char *name, const T &amp;y, const size_t i, const char *msg1, const char *msg2)</td></tr>
+<tr class="memdesc:add7b2630385b99ef7045818ba8fe2a97"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an invalid argument exception with a consistently formatted message.  <a href="#add7b2630385b99ef7045818ba8fe2a97">More...</a><br /></td></tr>
+<tr class="separator:add7b2630385b99ef7045818ba8fe2a97"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a309a8690ee903eea7e5847e4d93483f4"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a309a8690ee903eea7e5847e4d93483f4"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a309a8690ee903eea7e5847e4d93483f4">invalid_argument_vec</a> (const char *function, const char *name, const T &amp;y, const size_t i, const char *msg)</td></tr>
+<tr class="memdesc:a309a8690ee903eea7e5847e4d93483f4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an invalid argument exception with a consistently formatted message.  <a href="#a309a8690ee903eea7e5847e4d93483f4">More...</a><br /></td></tr>
+<tr class="separator:a309a8690ee903eea7e5847e4d93483f4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a34583d3983ee4d61d09004ce3e278250"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34583d3983ee4d61d09004ce3e278250">out_of_range</a> (const char *function, const int <a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a>, const int index, const char *msg1=&quot;&quot;, const char *msg2=&quot;&quot;)</td></tr>
+<tr class="memdesc:a34583d3983ee4d61d09004ce3e278250"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an out_of_range exception with a consistently formatted message.  <a href="#a34583d3983ee4d61d09004ce3e278250">More...</a><br /></td></tr>
+<tr class="separator:a34583d3983ee4d61d09004ce3e278250"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aeb4764556637084eee528b45d8eaa767"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aeb4764556637084eee528b45d8eaa767">abs</a> (double x)</td></tr>
+<tr class="memdesc:aeb4764556637084eee528b45d8eaa767"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return floating-point absolute value.  <a href="#aeb4764556637084eee528b45d8eaa767">More...</a><br /></td></tr>
+<tr class="separator:aeb4764556637084eee528b45d8eaa767"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3ec93b560b654740be65de81d6f348cc"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a3ec93b560b654740be65de81d6f348cc"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3ec93b560b654740be65de81d6f348cc">as_bool</a> (const T x)</td></tr>
+<tr class="memdesc:a3ec93b560b654740be65de81d6f348cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the argument is unequal to zero and 0 otherwise.  <a href="#a3ec93b560b654740be65de81d6f348cc">More...</a><br /></td></tr>
+<tr class="separator:a3ec93b560b654740be65de81d6f348cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aebfb3835848bd8550192cd5e090d3b5a"><td class="memTemplParams" colspan="2">template&lt;typename T2 &gt; </td></tr>
+<tr class="memitem:aebfb3835848bd8550192cd5e090d3b5a"><td class="memTemplItemLeft" align="right" valign="top">T2&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aebfb3835848bd8550192cd5e090d3b5a">bessel_first_kind</a> (const int v, const T2 z)</td></tr>
+<tr class="memdesc:aebfb3835848bd8550192cd5e090d3b5a"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{bessel\_first\_kind}(v, x) = \begin{cases} J_v(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{error} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_26.png"/>
+</p>
+  <a href="#aebfb3835848bd8550192cd5e090d3b5a">More...</a><br /></td></tr>
+<tr class="separator:aebfb3835848bd8550192cd5e090d3b5a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a645ce13c6454913ec39be807751604dc"><td class="memTemplParams" colspan="2">template&lt;typename T2 &gt; </td></tr>
+<tr class="memitem:a645ce13c6454913ec39be807751604dc"><td class="memTemplItemLeft" align="right" valign="top">T2&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a645ce13c6454913ec39be807751604dc">bessel_second_kind</a> (const int v, const T2 z)</td></tr>
+<tr class="memdesc:a645ce13c6454913ec39be807751604dc"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{bessel\_second\_kind}(v, x) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0 \\ Y_v(x) &amp; \mbox{if } x > 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_30.png"/>
+</p>
+  <a href="#a645ce13c6454913ec39be807751604dc">More...</a><br /></td></tr>
+<tr class="separator:a645ce13c6454913ec39be807751604dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:add2a043f562537b8cc57bb35780ac5b5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:add2a043f562537b8cc57bb35780ac5b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log loss function for binary classification with specified reference and response values.  <a href="#add2a043f562537b8cc57bb35780ac5b5">More...</a><br /></td></tr>
+<tr class="separator:add2a043f562537b8cc57bb35780ac5b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a27dad23d38c6d5e74c65e7571c70272e"><td class="memTemplParams" colspan="2">template&lt;typename T_N , typename T_n &gt; </td></tr>
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+<tr class="memdesc:a27dad23d38c6d5e74c65e7571c70272e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of the binomial coefficient for the specified arguments.  <a href="#a27dad23d38c6d5e74c65e7571c70272e">More...</a><br /></td></tr>
+<tr class="separator:a27dad23d38c6d5e74c65e7571c70272e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa2ffd66726e0532160e16e6b48d6f428"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a> ()</td></tr>
+<tr class="memdesc:aa2ffd66726e0532160e16e6b48d6f428"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of pi.  <a href="#aa2ffd66726e0532160e16e6b48d6f428">More...</a><br /></td></tr>
+<tr class="separator:aa2ffd66726e0532160e16e6b48d6f428"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3b650a0131d41167ef4837ecc7d02be5"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a> ()</td></tr>
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+<tr class="separator:a3b650a0131d41167ef4837ecc7d02be5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1369f60a09e3af4933096de3a54ac28c"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1369f60a09e3af4933096de3a54ac28c">sqrt2</a> ()</td></tr>
+<tr class="memdesc:a1369f60a09e3af4933096de3a54ac28c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the square root of two.  <a href="#a1369f60a09e3af4933096de3a54ac28c">More...</a><br /></td></tr>
+<tr class="separator:a1369f60a09e3af4933096de3a54ac28c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a21f4f7c092e2bc9a089885628b86c004"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a21f4f7c092e2bc9a089885628b86c004">log10</a> ()</td></tr>
+<tr class="memdesc:a21f4f7c092e2bc9a089885628b86c004"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return natural logarithm of ten.  <a href="#a21f4f7c092e2bc9a089885628b86c004">More...</a><br /></td></tr>
+<tr class="separator:a21f4f7c092e2bc9a089885628b86c004"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a34675a70d3df614d88d33ddbdd49b49a"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34675a70d3df614d88d33ddbdd49b49a">positive_infinity</a> ()</td></tr>
+<tr class="memdesc:a34675a70d3df614d88d33ddbdd49b49a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return positive infinity.  <a href="#a34675a70d3df614d88d33ddbdd49b49a">More...</a><br /></td></tr>
+<tr class="separator:a34675a70d3df614d88d33ddbdd49b49a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a34bffe91b7a24cb29bd69cb60814c39e"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">negative_infinity</a> ()</td></tr>
+<tr class="memdesc:a34bffe91b7a24cb29bd69cb60814c39e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return negative infinity.  <a href="#a34bffe91b7a24cb29bd69cb60814c39e">More...</a><br /></td></tr>
+<tr class="separator:a34bffe91b7a24cb29bd69cb60814c39e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a381493bccc58bd993d797a2a5458c486"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a381493bccc58bd993d797a2a5458c486">not_a_number</a> ()</td></tr>
+<tr class="memdesc:a381493bccc58bd993d797a2a5458c486"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return (quiet) not-a-number.  <a href="#a381493bccc58bd993d797a2a5458c486">More...</a><br /></td></tr>
+<tr class="separator:a381493bccc58bd993d797a2a5458c486"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a173839dddd0a8ac8afa710b9e3d5008a"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a173839dddd0a8ac8afa710b9e3d5008a">machine_precision</a> ()</td></tr>
+<tr class="memdesc:a173839dddd0a8ac8afa710b9e3d5008a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the difference between 1.0 and the next value representable.  <a href="#a173839dddd0a8ac8afa710b9e3d5008a">More...</a><br /></td></tr>
+<tr class="separator:a173839dddd0a8ac8afa710b9e3d5008a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6a3c8aa139b956593524b01f21c971a1"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6a3c8aa139b956593524b01f21c971a1"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1">corr_constrain</a> (const T x)</td></tr>
+<tr class="memdesc:a6a3c8aa139b956593524b01f21c971a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the result of transforming the specified scalar to have a valid correlation value between -1 and 1 (inclusive).  <a href="#a6a3c8aa139b956593524b01f21c971a1">More...</a><br /></td></tr>
+<tr class="separator:a6a3c8aa139b956593524b01f21c971a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a40c9589bc6f6d15d7455de5ad453c8e6"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a40c9589bc6f6d15d7455de5ad453c8e6"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a40c9589bc6f6d15d7455de5ad453c8e6">corr_constrain</a> (const T x, T &amp;lp)</td></tr>
+<tr class="memdesc:a40c9589bc6f6d15d7455de5ad453c8e6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the result of transforming the specified scalar to have a valid correlation value between -1 and 1 (inclusive).  <a href="#a40c9589bc6f6d15d7455de5ad453c8e6">More...</a><br /></td></tr>
+<tr class="separator:a40c9589bc6f6d15d7455de5ad453c8e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9322e1f1baeb5a192c4972dbec311b4e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9322e1f1baeb5a192c4972dbec311b4e"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9322e1f1baeb5a192c4972dbec311b4e">corr_free</a> (const T y)</td></tr>
+<tr class="memdesc:a9322e1f1baeb5a192c4972dbec311b4e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unconstrained scalar that when transformed to a valid correlation produces the specified value.  <a href="#a9322e1f1baeb5a192c4972dbec311b4e">More...</a><br /></td></tr>
+<tr class="separator:a9322e1f1baeb5a192c4972dbec311b4e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5eb54ce92709046c6d168e851d2481c7"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5eb54ce92709046c6d168e851d2481c7">digamma</a> (double x)</td></tr>
+<tr class="memdesc:a5eb54ce92709046c6d168e851d2481c7"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{digamma}(x) = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \Psi(x) &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_54.png"/>
+</p>
+  <a href="#a5eb54ce92709046c6d168e851d2481c7">More...</a><br /></td></tr>
+<tr class="separator:a5eb54ce92709046c6d168e851d2481c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a685d66ce770eb99e2f3a89624629aa7e"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a685d66ce770eb99e2f3a89624629aa7e"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a685d66ce770eb99e2f3a89624629aa7e">divide</a> (const T1 &amp;x, const T2 &amp;y)</td></tr>
+<tr class="memdesc:a685d66ce770eb99e2f3a89624629aa7e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the division of the first scalar by the second scalar.  <a href="#a685d66ce770eb99e2f3a89624629aa7e">More...</a><br /></td></tr>
+<tr class="separator:a685d66ce770eb99e2f3a89624629aa7e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aaf04cebee51d38a543e0ec689ae1399c"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aaf04cebee51d38a543e0ec689ae1399c">divide</a> (const int x, const int y)</td></tr>
+<tr class="separator:aaf04cebee51d38a543e0ec689ae1399c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0ef734d7c3b8ebd689012295bf826e94"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a0ef734d7c3b8ebd689012295bf826e94"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0ef734d7c3b8ebd689012295bf826e94">exp2</a> (const T y)</td></tr>
+<tr class="memdesc:a0ef734d7c3b8ebd689012295bf826e94"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the exponent base 2 of the specified argument (C99).  <a href="#a0ef734d7c3b8ebd689012295bf826e94">More...</a><br /></td></tr>
+<tr class="separator:a0ef734d7c3b8ebd689012295bf826e94"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ada2421cf831c518a6260f60d19eb5c32"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ada2421cf831c518a6260f60d19eb5c32"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ada2421cf831c518a6260f60d19eb5c32">F32</a> (T a, T b, T c, T d, T <a class="el" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>, T z, T precision=1e-6)</td></tr>
+<tr class="separator:ada2421cf831c518a6260f60d19eb5c32"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad65933117ab43cb486fb65023d8e5f3c"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:ad65933117ab43cb486fb65023d8e5f3c"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad65933117ab43cb486fb65023d8e5f3c">falling_factorial</a> (const T1 x, const T2 n)</td></tr>
+<tr class="memdesc:ad65933117ab43cb486fb65023d8e5f3c"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{falling\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ (x)_n &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_58.png"/>
+</p>
+  <a href="#ad65933117ab43cb486fb65023d8e5f3c">More...</a><br /></td></tr>
+<tr class="separator:ad65933117ab43cb486fb65023d8e5f3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7d2db622c0f83134b7f3ebd1eec3c1d6"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a7d2db622c0f83134b7f3ebd1eec3c1d6"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7d2db622c0f83134b7f3ebd1eec3c1d6">fdim</a> (T1 a, T2 b)</td></tr>
+<tr class="memdesc:a7d2db622c0f83134b7f3ebd1eec3c1d6"><td class="mdescLeft">&#160;</td><td class="mdescRight">The positive difference function (C99).  <a href="#a7d2db622c0f83134b7f3ebd1eec3c1d6">More...</a><br /></td></tr>
+<tr class="separator:a7d2db622c0f83134b7f3ebd1eec3c1d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6d362e53d3d40b61e68fdd08dc5eb38b"><td class="memTemplParams" colspan="2">template&lt;typename T , typename S &gt; </td></tr>
+<tr class="memitem:a6d362e53d3d40b61e68fdd08dc5eb38b"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6d362e53d3d40b61e68fdd08dc5eb38b">fill</a> (T &amp;x, const S &amp;y)</td></tr>
+<tr class="memdesc:a6d362e53d3d40b61e68fdd08dc5eb38b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fill the specified container with the specified value.  <a href="#a6d362e53d3d40b61e68fdd08dc5eb38b">More...</a><br /></td></tr>
+<tr class="separator:a6d362e53d3d40b61e68fdd08dc5eb38b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aed411d626d4ae01a76584c454a83673f"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aed411d626d4ae01a76584c454a83673f">gamma_p</a> (double x, double a)</td></tr>
+<tr class="memdesc:aed411d626d4ae01a76584c454a83673f"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{gamma\_p}(a, z) = \begin{cases} \textrm{error} &amp; \mbox{if } a\leq 0 \textrm{ or } z < 0\\ P(a, z) &amp; \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]" src="form_64.png"/>
+</p>
+  <a href="#aed411d626d4ae01a76584c454a83673f">More...</a><br /></td></tr>
+<tr class="separator:aed411d626d4ae01a76584c454a83673f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0830ba049b81bc98ea9fbcf1eb7b4bd6"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0830ba049b81bc98ea9fbcf1eb7b4bd6">gamma_q</a> (double x, double a)</td></tr>
+<tr class="memdesc:a0830ba049b81bc98ea9fbcf1eb7b4bd6"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{gamma\_q}(a, z) = \begin{cases} \textrm{error} &amp; \mbox{if } a\leq 0 \textrm{ or } z < 0\\ Q(a, z) &amp; \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]" src="form_70.png"/>
+</p>
+  <a href="#a0830ba049b81bc98ea9fbcf1eb7b4bd6">More...</a><br /></td></tr>
+<tr class="separator:a0830ba049b81bc98ea9fbcf1eb7b4bd6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a43226a00b6c2d3f3a2ab5906490f3136"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a43226a00b6c2d3f3a2ab5906490f3136"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a43226a00b6c2d3f3a2ab5906490f3136">grad_2F1</a> (T &amp;gradA, T &amp;gradC, T a, T b, T c, T z, T precision=1e-6)</td></tr>
+<tr class="separator:a43226a00b6c2d3f3a2ab5906490f3136"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a02dd0b6c85425c2005e265d8e66852a8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a02dd0b6c85425c2005e265d8e66852a8"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a02dd0b6c85425c2005e265d8e66852a8">grad_F32</a> (T *g, T a, T b, T c, T d, T <a class="el" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>, T z, T precision=1e-6)</td></tr>
+<tr class="separator:a02dd0b6c85425c2005e265d8e66852a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a33cb272bd839945c13d7b41058c35c51"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a33cb272bd839945c13d7b41058c35c51">grad_inc_beta</a> (double &amp;g1, double &amp;g2, double a, double b, double z)</td></tr>
+<tr class="separator:a33cb272bd839945c13d7b41058c35c51"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a11eeb59eb3ae4f0710a7e417478c1212"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a11eeb59eb3ae4f0710a7e417478c1212"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">grad_reg_inc_beta</a> (T &amp;g1, T &amp;g2, T a, T b, T z, T digammaA, T digammaB, T digammaSum, T betaAB)</td></tr>
+<tr class="separator:a11eeb59eb3ae4f0710a7e417478c1212"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6336e9873f3029f5abe54c4914c71cb2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6336e9873f3029f5abe54c4914c71cb2"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">grad_reg_inc_gamma</a> (T a, T z, T g, T dig, T precision=1e-6)</td></tr>
+<tr class="separator:a6336e9873f3029f5abe54c4914c71cb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af7b430ac57e75ba2d55843cd868506e1"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">ibeta</a> (const double a, const double b, const double x)</td></tr>
+<tr class="memdesc:af7b430ac57e75ba2d55843cd868506e1"><td class="mdescLeft">&#160;</td><td class="mdescRight">The normalized incomplete beta function of a, b, and x.  <a href="#af7b430ac57e75ba2d55843cd868506e1">More...</a><br /></td></tr>
+<tr class="separator:af7b430ac57e75ba2d55843cd868506e1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afa7ea9a437cf38e48ec72cec173d7465"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:afa7ea9a437cf38e48ec72cec173d7465"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afa7ea9a437cf38e48ec72cec173d7465">identity_constrain</a> (T x)</td></tr>
+<tr class="memdesc:afa7ea9a437cf38e48ec72cec173d7465"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the result of applying the identity constraint transform to the input.  <a href="#afa7ea9a437cf38e48ec72cec173d7465">More...</a><br /></td></tr>
+<tr class="separator:afa7ea9a437cf38e48ec72cec173d7465"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7925ed2737df76a38ae17c13f85e9141"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a7925ed2737df76a38ae17c13f85e9141"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the result of applying the identity constraint transform to the input and increments the log probability reference with the log absolute Jacobian determinant.  <a href="#a7925ed2737df76a38ae17c13f85e9141">More...</a><br /></td></tr>
+<tr class="separator:a7925ed2737df76a38ae17c13f85e9141"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac50a1ae328bd1f7195b0c77a16a684ab"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:ac50a1ae328bd1f7195b0c77a16a684ab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a65e2d3e3ab44f347f3ebaacb67845015"><td class="memTemplParams" colspan="2">template&lt;typename T_true , typename T_false &gt; </td></tr>
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+<tr class="separator:a65e2d3e3ab44f347f3ebaacb67845015"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a01192e5a2e1c208f78818b57b4d6aa78"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a01192e5a2e1c208f78818b57b4d6aa78">inc_beta</a> (const double &amp;a, const double &amp;b, const double &amp;x)</td></tr>
+<tr class="separator:a01192e5a2e1c208f78818b57b4d6aa78"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afc99a6a1e74fd1daeab96f7eeb3b05a8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:afc99a6a1e74fd1daeab96f7eeb3b05a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9c265eb14e915edc9bd457e93aaaf166"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a9c265eb14e915edc9bd457e93aaaf166"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2412f96d2114b4c15efb1ddbddaef35b"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a2412f96d2114b4c15efb1ddbddaef35b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3e5957e2cb19140e6c7bacf5c68320b7"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
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+<tr class="memitem:a8c507cff4b7b473cd86e1d428fb03136"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8c507cff4b7b473cd86e1d428fb03136"><td class="memTemplItemLeft" align="right" valign="top">unsigned int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8c507cff4b7b473cd86e1d428fb03136">int_step</a> (const T y)</td></tr>
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+<tr class="separator:a8c507cff4b7b473cd86e1d428fb03136"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab64935e0bdac8227bfd9608285d4e699"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ab64935e0bdac8227bfd9608285d4e699"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab64935e0bdac8227bfd9608285d4e699">inv</a> (const T x)</td></tr>
+<tr class="separator:ab64935e0bdac8227bfd9608285d4e699"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a008bf0b6c2ab38d088b0aba5d7b10c8d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a008bf0b6c2ab38d088b0aba5d7b10c8d"><td class="mdescLeft">&#160;</td><td class="mdescRight">The inverse complementary log-log function.  <a href="#a008bf0b6c2ab38d088b0aba5d7b10c8d">More...</a><br /></td></tr>
+<tr class="separator:a008bf0b6c2ab38d088b0aba5d7b10c8d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad2c4834fc581f55acf8491ec3f80ecb7"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:ad2c4834fc581f55acf8491ec3f80ecb7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the inverse logit function applied to the argument.  <a href="#ad2c4834fc581f55acf8491ec3f80ecb7">More...</a><br /></td></tr>
+<tr class="separator:ad2c4834fc581f55acf8491ec3f80ecb7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a24ce9274d4f9c0ebe500fbe3a0ac4560"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a24ce9274d4f9c0ebe500fbe3a0ac4560">inv_Phi</a> (double p)</td></tr>
+<tr class="memdesc:a24ce9274d4f9c0ebe500fbe3a0ac4560"><td class="mdescLeft">&#160;</td><td class="mdescRight">The inverse of the unit normal cumulative distribution function.  <a href="#a24ce9274d4f9c0ebe500fbe3a0ac4560">More...</a><br /></td></tr>
+<tr class="separator:a24ce9274d4f9c0ebe500fbe3a0ac4560"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4b4db5e98585c71cc7c14319f96e0c04"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a4b4db5e98585c71cc7c14319f96e0c04"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3d2e922aa13e2dfae510fc13d86eaea3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a3d2e922aa13e2dfae510fc13d86eaea3"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a1edc35cc581dda178263f6a4a4fd1158"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1edc35cc581dda178263f6a4a4fd1158">inverse_softmax</a> (const Vector &amp;simplex, Vector &amp;y)</td></tr>
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+<tr class="separator:a1edc35cc581dda178263f6a4a4fd1158"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae0020ce04cad9a5eb9b55abb690863fa"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae0020ce04cad9a5eb9b55abb690863fa">is_inf</a> (const double x)</td></tr>
+<tr class="memdesc:ae0020ce04cad9a5eb9b55abb690863fa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns 1 if the input is infinite and 0 otherwise.  <a href="#ae0020ce04cad9a5eb9b55abb690863fa">More...</a><br /></td></tr>
+<tr class="separator:ae0020ce04cad9a5eb9b55abb690863fa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae01488df30a81c36b1a00391b9541e1d"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae01488df30a81c36b1a00391b9541e1d">is_nan</a> (double x)</td></tr>
+<tr class="memdesc:ae01488df30a81c36b1a00391b9541e1d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns 1 if the input is NaN and 0 otherwise.  <a href="#ae01488df30a81c36b1a00391b9541e1d">More...</a><br /></td></tr>
+<tr class="separator:ae01488df30a81c36b1a00391b9541e1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a40c14c26dc55a985e05695b3ff1eeef2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a40c14c26dc55a985e05695b3ff1eeef2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a02477dd575f3d242826df72489faac4c"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TL &gt; </td></tr>
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+<tr class="memdesc:a02477dd575f3d242826df72489faac4c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the lower-bounded value for the specified unconstrained input and specified lower bound.  <a href="#a02477dd575f3d242826df72489faac4c">More...</a><br /></td></tr>
+<tr class="separator:a02477dd575f3d242826df72489faac4c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8344b3154a81f8601776582238bac99f"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TL &gt; </td></tr>
+<tr class="memitem:a8344b3154a81f8601776582238bac99f"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T, TL &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8344b3154a81f8601776582238bac99f">lb_constrain</a> (const T x, const TL lb, T &amp;lp)</td></tr>
+<tr class="memdesc:a8344b3154a81f8601776582238bac99f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the lower-bounded value for the speicifed unconstrained input and specified lower bound, incrementing the specified reference with the log absolute Jacobian determinant of the transform.  <a href="#a8344b3154a81f8601776582238bac99f">More...</a><br /></td></tr>
+<tr class="separator:a8344b3154a81f8601776582238bac99f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0e416b7c30dd2ea4fc78254732fa8a52"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TL &gt; </td></tr>
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+<tr class="memdesc:a0e416b7c30dd2ea4fc78254732fa8a52"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unconstrained value that produces the specified lower-bound constrained value.  <a href="#a0e416b7c30dd2ea4fc78254732fa8a52">More...</a><br /></td></tr>
+<tr class="separator:a0e416b7c30dd2ea4fc78254732fa8a52"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af37c166c79a3e66d101d682b3474f6ab"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
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+<tr class="memdesc:af37c166c79a3e66d101d682b3474f6ab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of the beta function applied to the specified arguments.  <a href="#af37c166c79a3e66d101d682b3474f6ab">More...</a><br /></td></tr>
+<tr class="separator:af37c166c79a3e66d101d682b3474f6ab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a836f46d7f63f5118a32cad11382c0551"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a836f46d7f63f5118a32cad11382c0551">lgamma</a> (double x)</td></tr>
+<tr class="memdesc:a836f46d7f63f5118a32cad11382c0551"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{lgamma}(x) = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \ln\Gamma(x) &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_96.png"/>
+</p>
+  <a href="#a836f46d7f63f5118a32cad11382c0551">More...</a><br /></td></tr>
+<tr class="separator:a836f46d7f63f5118a32cad11382c0551"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0ee0706b2cb6d2e1da2c3b6041c06a56"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a0ee0706b2cb6d2e1da2c3b6041c06a56"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4f92092fb8a70b31d00898bbbe769612"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a4f92092fb8a70b31d00898bbbe769612"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the natural logarithm of one minus the specified value.  <a href="#a4f92092fb8a70b31d00898bbbe769612">More...</a><br /></td></tr>
+<tr class="separator:a4f92092fb8a70b31d00898bbbe769612"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3ce261caf05bd371c430e82a0e6389a5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a3ce261caf05bd371c430e82a0e6389a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the log of 1 minus the exponential of the specified value without overflow log1m_exp(x) = log(1-exp(x)).  <a href="#a3ce261caf05bd371c430e82a0e6389a5">More...</a><br /></td></tr>
+<tr class="separator:a3ce261caf05bd371c430e82a0e6389a5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac7f71c696a5e0da4daab30e5f3704842"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:ac7f71c696a5e0da4daab30e5f3704842"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the natural logarithm of 1 minus the inverse logit of the specified argument.  <a href="#ac7f71c696a5e0da4daab30e5f3704842">More...</a><br /></td></tr>
+<tr class="separator:ac7f71c696a5e0da4daab30e5f3704842"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5166d3c58ad8ce0aedbf104179888b69"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a5166d3c58ad8ce0aedbf104179888b69"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5166d3c58ad8ce0aedbf104179888b69">log1p</a> (const T x)</td></tr>
+<tr class="memdesc:a5166d3c58ad8ce0aedbf104179888b69"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the natural logarithm of one plus the specified value.  <a href="#a5166d3c58ad8ce0aedbf104179888b69">More...</a><br /></td></tr>
+<tr class="separator:a5166d3c58ad8ce0aedbf104179888b69"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a88151def26813dec3e04c4a8b9674091"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a88151def26813dec3e04c4a8b9674091"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a88151def26813dec3e04c4a8b9674091">log1p_exp</a> (const T a)</td></tr>
+<tr class="memdesc:a88151def26813dec3e04c4a8b9674091"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the log of 1 plus the exponential of the specified value without overflow.  <a href="#a88151def26813dec3e04c4a8b9674091">More...</a><br /></td></tr>
+<tr class="separator:a88151def26813dec3e04c4a8b9674091"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa25e1572bf46e3a6b9ee270f0c7e2c4d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aa25e1572bf46e3a6b9ee270f0c7e2c4d"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa25e1572bf46e3a6b9ee270f0c7e2c4d">log2</a> (const T a)</td></tr>
+<tr class="memdesc:aa25e1572bf46e3a6b9ee270f0c7e2c4d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the base 2 logarithm of the argument (C99).  <a href="#aa25e1572bf46e3a6b9ee270f0c7e2c4d">More...</a><br /></td></tr>
+<tr class="separator:aa25e1572bf46e3a6b9ee270f0c7e2c4d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a947ba3fe3c87293f7c57395007100c79"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a947ba3fe3c87293f7c57395007100c79">log2</a> ()</td></tr>
+<tr class="memdesc:a947ba3fe3c87293f7c57395007100c79"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return natural logarithm of two.  <a href="#a947ba3fe3c87293f7c57395007100c79">More...</a><br /></td></tr>
+<tr class="separator:a947ba3fe3c87293f7c57395007100c79"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a685dbad032c2794fbc8bca7f44119eab"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a685dbad032c2794fbc8bca7f44119eab"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a685dbad032c2794fbc8bca7f44119eab">log_diff_exp</a> (const T1 x, const T2 y)</td></tr>
+<tr class="memdesc:a685dbad032c2794fbc8bca7f44119eab"><td class="mdescLeft">&#160;</td><td class="mdescRight">The natural logarithm of the difference of the natural exponentiation of x1 and the natural exponentiation of x2.  <a href="#a685dbad032c2794fbc8bca7f44119eab">More...</a><br /></td></tr>
+<tr class="separator:a685dbad032c2794fbc8bca7f44119eab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afd407ae0bf698d58b8e59e580749e705"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:afd407ae0bf698d58b8e59e580749e705"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afd407ae0bf698d58b8e59e580749e705">log_falling_factorial</a> (const T1 x, const T2 n)</td></tr>
+<tr class="memdesc:afd407ae0bf698d58b8e59e580749e705"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_falling\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \ln (x)_n &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_119.png"/>
+</p>
+  <a href="#afd407ae0bf698d58b8e59e580749e705">More...</a><br /></td></tr>
+<tr class="separator:afd407ae0bf698d58b8e59e580749e705"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad5be889d1ef4284654a04e400f5371a7"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad5be889d1ef4284654a04e400f5371a7"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad5be889d1ef4284654a04e400f5371a7">log_inv_logit</a> (const T &amp;u)</td></tr>
+<tr class="memdesc:ad5be889d1ef4284654a04e400f5371a7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the natural logarithm of the inverse logit of the specified argument.  <a href="#ad5be889d1ef4284654a04e400f5371a7">More...</a><br /></td></tr>
+<tr class="separator:ad5be889d1ef4284654a04e400f5371a7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1b7b9cda7f1b3234cc4b3fc20e595482"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1b7b9cda7f1b3234cc4b3fc20e595482">log_mix</a> (double theta, double lambda1, double lambda2)</td></tr>
+<tr class="memdesc:a1b7b9cda7f1b3234cc4b3fc20e595482"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log mixture density with specified mixing proportion and log densities.  <a href="#a1b7b9cda7f1b3234cc4b3fc20e595482">More...</a><br /></td></tr>
+<tr class="separator:a1b7b9cda7f1b3234cc4b3fc20e595482"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a05002f0d4de2c84705dc2bbadfce6b6c"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a05002f0d4de2c84705dc2bbadfce6b6c"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a05002f0d4de2c84705dc2bbadfce6b6c">log_rising_factorial</a> (const T1 x, const T2 n)</td></tr>
+<tr class="memdesc:a05002f0d4de2c84705dc2bbadfce6b6c"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_rising\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \ln x^{(n)} &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_128.png"/>
+</p>
+  <a href="#a05002f0d4de2c84705dc2bbadfce6b6c">More...</a><br /></td></tr>
+<tr class="separator:a05002f0d4de2c84705dc2bbadfce6b6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a554e6f04e24049b7fe6e56f60abbc560"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a554e6f04e24049b7fe6e56f60abbc560"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a554e6f04e24049b7fe6e56f60abbc560">log_sum_exp</a> (const T2 &amp;a, const T1 &amp;b)</td></tr>
+<tr class="memdesc:a554e6f04e24049b7fe6e56f60abbc560"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the log sum of exponetials without overflow.  <a href="#a554e6f04e24049b7fe6e56f60abbc560">More...</a><br /></td></tr>
+<tr class="separator:a554e6f04e24049b7fe6e56f60abbc560"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adc35bab2db89b3ceda66f11e1fa53ec8"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:adc35bab2db89b3ceda66f11e1fa53ec8"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adc35bab2db89b3ceda66f11e1fa53ec8">logical_and</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:adc35bab2db89b3ceda66f11e1fa53ec8"><td class="mdescLeft">&#160;</td><td class="mdescRight">The logical and function which returns 1 if both arguments are unequal to zero and 0 otherwise.  <a href="#adc35bab2db89b3ceda66f11e1fa53ec8">More...</a><br /></td></tr>
+<tr class="separator:adc35bab2db89b3ceda66f11e1fa53ec8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab2213736b55fd6696fa0120fd3fe72e4"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:ab2213736b55fd6696fa0120fd3fe72e4"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab2213736b55fd6696fa0120fd3fe72e4">logical_eq</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:ab2213736b55fd6696fa0120fd3fe72e4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is equal to the second.  <a href="#ab2213736b55fd6696fa0120fd3fe72e4">More...</a><br /></td></tr>
+<tr class="separator:ab2213736b55fd6696fa0120fd3fe72e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aba86bfd994302061a0260e1202fca777"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:aba86bfd994302061a0260e1202fca777"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aba86bfd994302061a0260e1202fca777">logical_gt</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:aba86bfd994302061a0260e1202fca777"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is strictly greater than the second.  <a href="#aba86bfd994302061a0260e1202fca777">More...</a><br /></td></tr>
+<tr class="separator:aba86bfd994302061a0260e1202fca777"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac6bb0b8623192207d35e207ea312d8be"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:ac6bb0b8623192207d35e207ea312d8be"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac6bb0b8623192207d35e207ea312d8be">logical_gte</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:ac6bb0b8623192207d35e207ea312d8be"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is greater than or equal to the second.  <a href="#ac6bb0b8623192207d35e207ea312d8be">More...</a><br /></td></tr>
+<tr class="separator:ac6bb0b8623192207d35e207ea312d8be"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0b5bd91412749e10933f304b54aef88f"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a0b5bd91412749e10933f304b54aef88f"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0b5bd91412749e10933f304b54aef88f">logical_lt</a> (T1 x1, T2 x2)</td></tr>
+<tr class="memdesc:a0b5bd91412749e10933f304b54aef88f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is strictly less than the second.  <a href="#a0b5bd91412749e10933f304b54aef88f">More...</a><br /></td></tr>
+<tr class="separator:a0b5bd91412749e10933f304b54aef88f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af3649d4c704962c4502cd6220a5e2230"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:af3649d4c704962c4502cd6220a5e2230"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af3649d4c704962c4502cd6220a5e2230">logical_lte</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:af3649d4c704962c4502cd6220a5e2230"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is less than or equal to the second.  <a href="#af3649d4c704962c4502cd6220a5e2230">More...</a><br /></td></tr>
+<tr class="separator:af3649d4c704962c4502cd6220a5e2230"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aad2fc9ce55dfac079d930335beb7e4a8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aad2fc9ce55dfac079d930335beb7e4a8"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aad2fc9ce55dfac079d930335beb7e4a8">logical_negation</a> (const T x)</td></tr>
+<tr class="memdesc:aad2fc9ce55dfac079d930335beb7e4a8"><td class="mdescLeft">&#160;</td><td class="mdescRight">The logical negation function which returns 1 if the input is equal to zero and 0 otherwise.  <a href="#aad2fc9ce55dfac079d930335beb7e4a8">More...</a><br /></td></tr>
+<tr class="separator:aad2fc9ce55dfac079d930335beb7e4a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a206eb210d8e7e2c718af25c40de8f9d1"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a206eb210d8e7e2c718af25c40de8f9d1"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a206eb210d8e7e2c718af25c40de8f9d1">logical_neq</a> (const T1 x1, const T2 x2)</td></tr>
+<tr class="memdesc:a206eb210d8e7e2c718af25c40de8f9d1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return 1 if the first argument is unequal to the second.  <a href="#a206eb210d8e7e2c718af25c40de8f9d1">More...</a><br /></td></tr>
+<tr class="separator:a206eb210d8e7e2c718af25c40de8f9d1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac74007e2d5f55d5ae4a308f535869aee"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:ac74007e2d5f55d5ae4a308f535869aee"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac74007e2d5f55d5ae4a308f535869aee">logical_or</a> (T1 x1, T2 x2)</td></tr>
+<tr class="memdesc:ac74007e2d5f55d5ae4a308f535869aee"><td class="mdescLeft">&#160;</td><td class="mdescRight">The logical or function which returns 1 if either argument is unequal to zero and 0 otherwise.  <a href="#ac74007e2d5f55d5ae4a308f535869aee">More...</a><br /></td></tr>
+<tr class="separator:ac74007e2d5f55d5ae4a308f535869aee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a53342d0c2cd3a6e440c533070054aca3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a53342d0c2cd3a6e440c533070054aca3"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a53342d0c2cd3a6e440c533070054aca3">logit</a> (const T a)</td></tr>
+<tr class="memdesc:a53342d0c2cd3a6e440c533070054aca3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the logit function applied to the argument.  <a href="#a53342d0c2cd3a6e440c533070054aca3">More...</a><br /></td></tr>
+<tr class="separator:a53342d0c2cd3a6e440c533070054aca3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5cc0ef5cf22dda83988c062b529dc3a6"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TL , typename TU &gt; </td></tr>
+<tr class="memitem:a5cc0ef5cf22dda83988c062b529dc3a6"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T, TL, TU &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5cc0ef5cf22dda83988c062b529dc3a6">lub_constrain</a> (const T x, TL lb, TU ub)</td></tr>
+<tr class="memdesc:a5cc0ef5cf22dda83988c062b529dc3a6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the lower- and upper-bounded scalar derived by transforming the specified free scalar given the specified lower and upper bounds.  <a href="#a5cc0ef5cf22dda83988c062b529dc3a6">More...</a><br /></td></tr>
+<tr class="separator:a5cc0ef5cf22dda83988c062b529dc3a6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab51cc5fe98ac938435e614765e30655a"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TL , typename TU &gt; </td></tr>
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+<tr class="memdesc:ab51cc5fe98ac938435e614765e30655a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the lower- and upper-bounded scalar derived by transforming the specified free scalar given the specified lower and upper bounds and increment the specified log probability with the log absolute Jacobian determinant.  <a href="#ab51cc5fe98ac938435e614765e30655a">More...</a><br /></td></tr>
+<tr class="separator:ab51cc5fe98ac938435e614765e30655a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab9fa09fdc448652a57d364d70d6e88e3"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TL , typename TU &gt; </td></tr>
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+<tr class="memdesc:ab9fa09fdc448652a57d364d70d6e88e3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unconstrained scalar that transforms to the specified lower- and upper-bounded scalar given the specified bounds.  <a href="#ab9fa09fdc448652a57d364d70d6e88e3">More...</a><br /></td></tr>
+<tr class="separator:ab9fa09fdc448652a57d364d70d6e88e3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acafecf14b103c7c17da33368d07b1565"><td class="memTemplParams" colspan="2">template&lt;typename T2 &gt; </td></tr>
+<tr class="memitem:acafecf14b103c7c17da33368d07b1565"><td class="memTemplItemLeft" align="right" valign="top">T2&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acafecf14b103c7c17da33368d07b1565">modified_bessel_first_kind</a> (const int v, const T2 z)</td></tr>
+<tr class="memdesc:acafecf14b103c7c17da33368d07b1565"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{modified\_bessel\_first\_kind}(v, z) = \begin{cases} I_v(z) &amp; \mbox{if } -\infty\leq z \leq \infty \\[6pt] \textrm{error} &amp; \mbox{if } z = \textrm{NaN} \end{cases} \]" src="form_148.png"/>
+</p>
+  <a href="#acafecf14b103c7c17da33368d07b1565">More...</a><br /></td></tr>
+<tr class="separator:acafecf14b103c7c17da33368d07b1565"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a72ce86f3db5478cad4666c9cf1d05a6e"><td class="memTemplParams" colspan="2">template&lt;typename T2 &gt; </td></tr>
+<tr class="memitem:a72ce86f3db5478cad4666c9cf1d05a6e"><td class="memTemplItemLeft" align="right" valign="top">T2&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a72ce86f3db5478cad4666c9cf1d05a6e">modified_bessel_second_kind</a> (const int v, const T2 z)</td></tr>
+<tr class="memdesc:a72ce86f3db5478cad4666c9cf1d05a6e"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{modified\_bessel\_second\_kind}(v, z) = \begin{cases} \textrm{error} &amp; \mbox{if } z \leq 0 \\ K_v(z) &amp; \mbox{if } z > 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } z = \textrm{NaN} \end{cases} \]" src="form_152.png"/>
+</p>
+  <a href="#a72ce86f3db5478cad4666c9cf1d05a6e">More...</a><br /></td></tr>
+<tr class="separator:a72ce86f3db5478cad4666c9cf1d05a6e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afcf62df7cae63f67b1c5c67651bc8dcf"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afcf62df7cae63f67b1c5c67651bc8dcf">modulus</a> (const int x, const int y)</td></tr>
+<tr class="separator:afcf62df7cae63f67b1c5c67651bc8dcf"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0f15d9bf40cdab5e3ef75cea2595244c"><td class="memTemplParams" colspan="2">template&lt;typename T_a , typename T_b &gt; </td></tr>
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+<tr class="separator:a0f15d9bf40cdab5e3ef75cea2595244c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af099f2a72adf07f89f5f27f405d7afab"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af099f2a72adf07f89f5f27f405d7afab">owens_t</a> (const double h, const double a)</td></tr>
+<tr class="memdesc:af099f2a72adf07f89f5f27f405d7afab"><td class="mdescLeft">&#160;</td><td class="mdescRight">The Owen's T function of h and a.  <a href="#af099f2a72adf07f89f5f27f405d7afab">More...</a><br /></td></tr>
+<tr class="separator:af099f2a72adf07f89f5f27f405d7afab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac85644bbd92359d699f374adea62c643"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ac85644bbd92359d699f374adea62c643"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac85644bbd92359d699f374adea62c643">Phi</a> (const T x)</td></tr>
+<tr class="memdesc:ac85644bbd92359d699f374adea62c643"><td class="mdescLeft">&#160;</td><td class="mdescRight">The unit normal cumulative distribution function.  <a href="#ac85644bbd92359d699f374adea62c643">More...</a><br /></td></tr>
+<tr class="separator:ac85644bbd92359d699f374adea62c643"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6cf4bf2074175fd7bcde43f9f94e4d16"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6cf4bf2074175fd7bcde43f9f94e4d16"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6cf4bf2074175fd7bcde43f9f94e4d16">Phi_approx</a> (T x)</td></tr>
+<tr class="memdesc:a6cf4bf2074175fd7bcde43f9f94e4d16"><td class="mdescLeft">&#160;</td><td class="mdescRight">Approximation of the unit normal CDF.  <a href="#a6cf4bf2074175fd7bcde43f9f94e4d16">More...</a><br /></td></tr>
+<tr class="separator:a6cf4bf2074175fd7bcde43f9f94e4d16"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6cf6708d0fb577e217e81463282cae71"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6cf6708d0fb577e217e81463282cae71"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6cf6708d0fb577e217e81463282cae71">positive_constrain</a> (const T x)</td></tr>
+<tr class="memdesc:a6cf6708d0fb577e217e81463282cae71"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the positive value for the specified unconstrained input.  <a href="#a6cf6708d0fb577e217e81463282cae71">More...</a><br /></td></tr>
+<tr class="separator:a6cf6708d0fb577e217e81463282cae71"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9f9c43fc857272a76bb4030122ac91ed"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9f9c43fc857272a76bb4030122ac91ed"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9f9c43fc857272a76bb4030122ac91ed">positive_constrain</a> (const T x, T &amp;lp)</td></tr>
+<tr class="memdesc:a9f9c43fc857272a76bb4030122ac91ed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the positive value for the specified unconstrained input, incrementing the scalar reference with the log absolute Jacobian determinant.  <a href="#a9f9c43fc857272a76bb4030122ac91ed">More...</a><br /></td></tr>
+<tr class="separator:a9f9c43fc857272a76bb4030122ac91ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6a20798b12abb29d73f7391168f836f9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6a20798b12abb29d73f7391168f836f9"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6a20798b12abb29d73f7391168f836f9">positive_free</a> (const T y)</td></tr>
+<tr class="memdesc:a6a20798b12abb29d73f7391168f836f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unconstrained value corresponding to the specified positive-constrained value.  <a href="#a6a20798b12abb29d73f7391168f836f9">More...</a><br /></td></tr>
+<tr class="separator:a6a20798b12abb29d73f7391168f836f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af8cbc3a490edf340544fb12df544269e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:af8cbc3a490edf340544fb12df544269e"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if&lt; boost::is_arithmetic&lt; T &gt;, T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af8cbc3a490edf340544fb12df544269e">primitive_value</a> (T x)</td></tr>
+<tr class="memdesc:af8cbc3a490edf340544fb12df544269e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of the specified arithmetic argument unmodified with its own declared type.  <a href="#af8cbc3a490edf340544fb12df544269e">More...</a><br /></td></tr>
+<tr class="separator:af8cbc3a490edf340544fb12df544269e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0491e419195548cdede51a384547aef2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a0491e419195548cdede51a384547aef2"><td class="memTemplItemLeft" align="right" valign="top">boost::disable_if&lt; boost::is_arithmetic&lt; T &gt;, double &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0491e419195548cdede51a384547aef2">primitive_value</a> (const T &amp;x)</td></tr>
+<tr class="memdesc:a0491e419195548cdede51a384547aef2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the primitive value of the specified argument.  <a href="#a0491e419195548cdede51a384547aef2">More...</a><br /></td></tr>
+<tr class="separator:a0491e419195548cdede51a384547aef2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7a0b9c35bc619ea5fbac226e985bbc1d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a7a0b9c35bc619ea5fbac226e985bbc1d"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7a0b9c35bc619ea5fbac226e985bbc1d">prob_constrain</a> (const T x)</td></tr>
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+<tr class="separator:a7a0b9c35bc619ea5fbac226e985bbc1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3b5c8822124337e5d000cfa60046c5fa"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a3b5c8822124337e5d000cfa60046c5fa"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3b5c8822124337e5d000cfa60046c5fa">prob_constrain</a> (const T x, T &amp;lp)</td></tr>
+<tr class="memdesc:a3b5c8822124337e5d000cfa60046c5fa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a probability value constrained to fall between 0 and 1 (inclusive) for the specified free scalar and increment the specified log probability reference with the log absolute Jacobian determinant of the transform.  <a href="#a3b5c8822124337e5d000cfa60046c5fa">More...</a><br /></td></tr>
+<tr class="separator:a3b5c8822124337e5d000cfa60046c5fa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a533afff719fe3e21bf53d2fa53d2fbe3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a533afff719fe3e21bf53d2fa53d2fbe3"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a533afff719fe3e21bf53d2fa53d2fbe3">prob_free</a> (const T y)</td></tr>
+<tr class="memdesc:a533afff719fe3e21bf53d2fa53d2fbe3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the free scalar that when transformed to a probability produces the specified scalar.  <a href="#a533afff719fe3e21bf53d2fa53d2fbe3">More...</a><br /></td></tr>
+<tr class="separator:a533afff719fe3e21bf53d2fa53d2fbe3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4815c45c3f87ea98453880863e3a0b94"><td class="memTemplParams" colspan="2">template&lt;typename T , typename S &gt; </td></tr>
+<tr class="memitem:a4815c45c3f87ea98453880863e3a0b94"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt; T, S &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4815c45c3f87ea98453880863e3a0b94">promote_scalar</a> (const S &amp;x)</td></tr>
+<tr class="memdesc:a4815c45c3f87ea98453880863e3a0b94"><td class="mdescLeft">&#160;</td><td class="mdescRight">This is the top-level function to call to promote the scalar types of an input of type S to type T.  <a href="#a4815c45c3f87ea98453880863e3a0b94">More...</a><br /></td></tr>
+<tr class="separator:a4815c45c3f87ea98453880863e3a0b94"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6db558a6d0b54bf4ea23d9f247c6fbdb"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a6db558a6d0b54bf4ea23d9f247c6fbdb"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6db558a6d0b54bf4ea23d9f247c6fbdb">rising_factorial</a> (const T1 x, const T2 n)</td></tr>
+<tr class="memdesc:a6db558a6d0b54bf4ea23d9f247c6fbdb"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{rising\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ x^{(n)} &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_176.png"/>
+</p>
+  <a href="#a6db558a6d0b54bf4ea23d9f247c6fbdb">More...</a><br /></td></tr>
+<tr class="separator:a6db558a6d0b54bf4ea23d9f247c6fbdb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad825f81b97ddf0b2e1217f30913559a3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad825f81b97ddf0b2e1217f30913559a3"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad825f81b97ddf0b2e1217f30913559a3">sign</a> (const T &amp;z)</td></tr>
+<tr class="separator:ad825f81b97ddf0b2e1217f30913559a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a056b82f11f784f321bce2c5677089e24"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a056b82f11f784f321bce2c5677089e24"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a056b82f11f784f321bce2c5677089e24">square</a> (const T x)</td></tr>
+<tr class="memdesc:a056b82f11f784f321bce2c5677089e24"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the square of the specified argument.  <a href="#a056b82f11f784f321bce2c5677089e24">More...</a><br /></td></tr>
+<tr class="separator:a056b82f11f784f321bce2c5677089e24"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8fdc5e5ba8e306c2a594e928bfd62ea2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a8fdc5e5ba8e306c2a594e928bfd62ea2"><td class="mdescLeft">&#160;</td><td class="mdescRight">The step, or Heaviside, function.  <a href="#a8fdc5e5ba8e306c2a594e928bfd62ea2">More...</a><br /></td></tr>
+<tr class="separator:a8fdc5e5ba8e306c2a594e928bfd62ea2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab18c21bad37c9af26424d0922936355e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+</p>
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+<tr class="separator:ac11bdd8c7f6eed39bbac5a663c8a81bc"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a7a99d6e8d6986fffb421e859770560bc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7bb47fffd6ec0b1864d5e8bf0b99cf55"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
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+<tr class="separator:a07efa0f5060e1cbb91ac02a3936b4a1f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a1a238bf34fdfe67aa84300d9822f34be"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a570111dc15835a88afcfb8130b4746fd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inequality operator comparing a variable's value and a double (C++).  <a href="#a570111dc15835a88afcfb8130b4746fd">More...</a><br /></td></tr>
+<tr class="separator:a570111dc15835a88afcfb8130b4746fd"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:aa6464b66683b8cf12702e71c155853b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inequality operator comparing a double and a variable's value (C++).  <a href="#aa6464b66683b8cf12702e71c155853b7">More...</a><br /></td></tr>
+<tr class="separator:aa6464b66683b8cf12702e71c155853b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a971b741313ecc65a639076acc188614a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtraction operator for variables (C++).  <a href="#a971b741313ecc65a639076acc188614a">More...</a><br /></td></tr>
+<tr class="separator:a971b741313ecc65a639076acc188614a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abec4b5043616cea0be01ee41fd899198"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abec4b5043616cea0be01ee41fd899198">operator-</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a, const double b)</td></tr>
+<tr class="memdesc:abec4b5043616cea0be01ee41fd899198"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtraction operator for variable and scalar (C++).  <a href="#abec4b5043616cea0be01ee41fd899198">More...</a><br /></td></tr>
+<tr class="separator:abec4b5043616cea0be01ee41fd899198"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9586c6690c5088deedcbac089158960a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9586c6690c5088deedcbac089158960a">operator-</a> (const double a, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;b)</td></tr>
+<tr class="memdesc:a9586c6690c5088deedcbac089158960a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtraction operator for scalar and variable (C++).  <a href="#a9586c6690c5088deedcbac089158960a">More...</a><br /></td></tr>
+<tr class="separator:a9586c6690c5088deedcbac089158960a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a10e496e6e1fd02a0378a729ada4f39df"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a10e496e6e1fd02a0378a729ada4f39df">operator--</a> (<a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:a10e496e6e1fd02a0378a729ada4f39df"><td class="mdescLeft">&#160;</td><td class="mdescRight">Prefix decrement operator for variables (C++).  <a href="#a10e496e6e1fd02a0378a729ada4f39df">More...</a><br /></td></tr>
+<tr class="separator:a10e496e6e1fd02a0378a729ada4f39df"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abcadc96f506e9f1408647cdce4d09092"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abcadc96f506e9f1408647cdce4d09092">operator--</a> (<a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a, int)</td></tr>
+<tr class="memdesc:abcadc96f506e9f1408647cdce4d09092"><td class="mdescLeft">&#160;</td><td class="mdescRight">Postfix decrement operator for variables (C++).  <a href="#abcadc96f506e9f1408647cdce4d09092">More...</a><br /></td></tr>
+<tr class="separator:abcadc96f506e9f1408647cdce4d09092"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aab33c64042765d924f07e7490788e6d4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aab33c64042765d924f07e7490788e6d4">operator++</a> (<a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:aab33c64042765d924f07e7490788e6d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Prefix increment operator for variables (C++).  <a href="#aab33c64042765d924f07e7490788e6d4">More...</a><br /></td></tr>
+<tr class="separator:aab33c64042765d924f07e7490788e6d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3597f71f364d94814268d4911f111674"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3597f71f364d94814268d4911f111674">operator++</a> (<a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a, int)</td></tr>
+<tr class="memdesc:a3597f71f364d94814268d4911f111674"><td class="mdescLeft">&#160;</td><td class="mdescRight">Postfix increment operator for variables (C++).  <a href="#a3597f71f364d94814268d4911f111674">More...</a><br /></td></tr>
+<tr class="separator:a3597f71f364d94814268d4911f111674"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2f8564365599db5cea0b51b635ea482a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2f8564365599db5cea0b51b635ea482a">operator-</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:a2f8564365599db5cea0b51b635ea482a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Unary negation operator for variables (C++).  <a href="#a2f8564365599db5cea0b51b635ea482a">More...</a><br /></td></tr>
+<tr class="separator:a2f8564365599db5cea0b51b635ea482a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aeee31e071296bea410dd943347b9a65d"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aeee31e071296bea410dd943347b9a65d">operator!</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
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+<tr class="separator:aeee31e071296bea410dd943347b9a65d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a28f17a8253887d3b573fd59c5a4c6769"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a28f17a8253887d3b573fd59c5a4c6769">operator+</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:a28f17a8253887d3b573fd59c5a4c6769"><td class="mdescLeft">&#160;</td><td class="mdescRight">Unary plus operator for variables (C++).  <a href="#a28f17a8253887d3b573fd59c5a4c6769">More...</a><br /></td></tr>
+<tr class="separator:a28f17a8253887d3b573fd59c5a4c6769"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2ae0c4c9c64db8bb166f67caf352b35f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2ae0c4c9c64db8bb166f67caf352b35f">precomputed_gradients</a> (const double value, const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;operands, const std::vector&lt; double &gt; &amp;gradients)</td></tr>
+<tr class="memdesc:a2ae0c4c9c64db8bb166f67caf352b35f"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function returns a var for an expression that has the specified value, vector of operands, and vector of partial derivatives of value with respect to the operands.  <a href="#a2ae0c4c9c64db8bb166f67caf352b35f">More...</a><br /></td></tr>
+<tr class="separator:a2ae0c4c9c64db8bb166f67caf352b35f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0611cecb5356e187818c1901134c7665"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0611cecb5356e187818c1901134c7665">print_stack</a> (std::ostream &amp;o)</td></tr>
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+<tr class="separator:a0611cecb5356e187818c1901134c7665"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afe2cbb83ac9ef52296755690e61f4298"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afe2cbb83ac9ef52296755690e61f4298">recover_memory</a> ()</td></tr>
+<tr class="memdesc:afe2cbb83ac9ef52296755690e61f4298"><td class="mdescLeft">&#160;</td><td class="mdescRight">Recover memory used for all variables for reuse.  <a href="#afe2cbb83ac9ef52296755690e61f4298">More...</a><br /></td></tr>
+<tr class="separator:afe2cbb83ac9ef52296755690e61f4298"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8ebf2b2bc0f63dcb46a176b43e8b369a"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">recover_memory_nested</a> ()</td></tr>
+<tr class="memdesc:a8ebf2b2bc0f63dcb46a176b43e8b369a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Recover only the memory used for the top nested call.  <a href="#a8ebf2b2bc0f63dcb46a176b43e8b369a">More...</a><br /></td></tr>
+<tr class="separator:a8ebf2b2bc0f63dcb46a176b43e8b369a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9614efc6fd66533b74b43ddb69f21d3b"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9614efc6fd66533b74b43ddb69f21d3b">set_zero_all_adjoints</a> ()</td></tr>
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+<tr class="separator:a9614efc6fd66533b74b43ddb69f21d3b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af13a9b09e0bebb14eb30f3c78a95a160"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af13a9b09e0bebb14eb30f3c78a95a160">set_zero_all_adjoints_nested</a> ()</td></tr>
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+<tr class="separator:af13a9b09e0bebb14eb30f3c78a95a160"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad4a72c89ed9143a7760cc3611e8a0df0"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad4a72c89ed9143a7760cc3611e8a0df0">start_nested</a> ()</td></tr>
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+<tr class="separator:ad4a72c89ed9143a7760cc3611e8a0df0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a20437f997cf28c6013d897f1d8099106"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">grad</a> (<a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *vi)</td></tr>
+<tr class="separator:a20437f997cf28c6013d897f1d8099106"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:af8e46af32d475d13fb882b6ae58051de"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a09f7ba0991c234a715af5b4968a28014"><td class="memTemplParams" colspan="2">template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </td></tr>
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+<tr class="separator:a5f1e866e49a056dc81b8b6b673dda0f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a8605c80796abfc9c7082d001e8fd4501"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a25cf09ca9596a572e5040deaecfba87f"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
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+<tr class="separator:a818fcac13304ea5c8679b3fc38e51ac1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad70b6ae039b48ca04b071daf5e265363"><td class="memTemplParams" colspan="2">template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </td></tr>
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+<tr class="memdesc:ad70b6ae039b48ca04b071daf5e265363"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product.  <a href="#ad70b6ae039b48ca04b071daf5e265363">More...</a><br /></td></tr>
+<tr class="separator:ad70b6ae039b48ca04b071daf5e265363"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:afc208771c9df3e3e96901fb27a05dde0"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:afc208771c9df3e3e96901fb27a05dde0"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; boost::is_same&lt; T1, <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt;::value||boost::is_same&lt; T2, <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt;::value, <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afc208771c9df3e3e96901fb27a05dde0">dot_product</a> (const T1 *v1, const T2 *v2, size_t <a class="el" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>)</td></tr>
+<tr class="memdesc:afc208771c9df3e3e96901fb27a05dde0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product.  <a href="#afc208771c9df3e3e96901fb27a05dde0">More...</a><br /></td></tr>
+<tr class="separator:afc208771c9df3e3e96901fb27a05dde0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a07462a84486826d0b7fe3cfebb51d386"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
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+<tr class="memdesc:a07462a84486826d0b7fe3cfebb51d386"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product.  <a href="#a07462a84486826d0b7fe3cfebb51d386">More...</a><br /></td></tr>
+<tr class="separator:a07462a84486826d0b7fe3cfebb51d386"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:add9f13b58d14d7b7b8cc43ab30a434d0"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:add9f13b58d14d7b7b8cc43ab30a434d0"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#add9f13b58d14d7b7b8cc43ab30a434d0">dot_self</a> (const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;v)</td></tr>
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+<tr class="separator:add9f13b58d14d7b7b8cc43ab30a434d0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a78c351f7c1ef5ea39c047fe102f70da3"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a78c351f7c1ef5ea39c047fe102f70da3">grad</a> (<a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;v, Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, Eigen::Dynamic, 1 &gt; &amp;x, Eigen::VectorXd &amp;g)</td></tr>
+<tr class="memdesc:a78c351f7c1ef5ea39c047fe102f70da3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Propagate chain rule to calculate gradients starting from the specified variable.  <a href="#a78c351f7c1ef5ea39c047fe102f70da3">More...</a><br /></td></tr>
+<tr class="separator:a78c351f7c1ef5ea39c047fe102f70da3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aebdf0a5cd40134110da3230d6fdea989"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aebdf0a5cd40134110da3230d6fdea989">initialize_variable</a> (<a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;variable, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;value)</td></tr>
+<tr class="memdesc:aebdf0a5cd40134110da3230d6fdea989"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize variable to value.  <a href="#aebdf0a5cd40134110da3230d6fdea989">More...</a><br /></td></tr>
+<tr class="separator:aebdf0a5cd40134110da3230d6fdea989"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad1bb474a393fa5277ff69c9498cb3809"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:ad1bb474a393fa5277ff69c9498cb3809"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad1bb474a393fa5277ff69c9498cb3809">initialize_variable</a> (Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;matrix, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;value)</td></tr>
+<tr class="memdesc:ad1bb474a393fa5277ff69c9498cb3809"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize every cell in the matrix to the specified value.  <a href="#ad1bb474a393fa5277ff69c9498cb3809">More...</a><br /></td></tr>
+<tr class="separator:ad1bb474a393fa5277ff69c9498cb3809"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ada62635d3e2320c9e36ac59a1c4bbdb0"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ada62635d3e2320c9e36ac59a1c4bbdb0"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ada62635d3e2320c9e36ac59a1c4bbdb0">initialize_variable</a> (std::vector&lt; T &gt; &amp;variables, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;value)</td></tr>
+<tr class="memdesc:ada62635d3e2320c9e36ac59a1c4bbdb0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Initialize the variables in the standard vector recursively.  <a href="#ada62635d3e2320c9e36ac59a1c4bbdb0">More...</a><br /></td></tr>
+<tr class="separator:ada62635d3e2320c9e36ac59a1c4bbdb0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae83dcd77f80cb38f31af8c5284370112"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:ae83dcd77f80cb38f31af8c5284370112"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae83dcd77f80cb38f31af8c5284370112">log_determinant</a> (const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;m)</td></tr>
+<tr class="separator:ae83dcd77f80cb38f31af8c5284370112"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acc785decbbbee8de2a2b8f2df9715d48"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:acc785decbbbee8de2a2b8f2df9715d48"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acc785decbbbee8de2a2b8f2df9715d48">log_determinant_ldlt</a> (<a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;A)</td></tr>
+<tr class="separator:acc785decbbbee8de2a2b8f2df9715d48"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a18ff74da7a827b5e433fc8d65d8b73e9"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:a18ff74da7a827b5e433fc8d65d8b73e9"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a18ff74da7a827b5e433fc8d65d8b73e9">log_determinant_spd</a> (const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;m)</td></tr>
+<tr class="separator:a18ff74da7a827b5e433fc8d65d8b73e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a443bda462051b08fcd0274c3ae1c73aa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the softmax of the specified <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector.  <a href="#a443bda462051b08fcd0274c3ae1c73aa">More...</a><br /></td></tr>
+<tr class="separator:a443bda462051b08fcd0274c3ae1c73aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa99a093a231daf213b589a2c96644fd7"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:aa99a093a231daf213b589a2c96644fd7"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa99a093a231daf213b589a2c96644fd7">log_sum_exp</a> (const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;x)</td></tr>
+<tr class="memdesc:aa99a093a231daf213b589a2c96644fd7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="#aa99a093a231daf213b589a2c96644fd7">More...</a><br /></td></tr>
+<tr class="separator:aa99a093a231daf213b589a2c96644fd7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aef0d163d45e4ee75444257dea341b731"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:aef0d163d45e4ee75444257dea341b731"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad6f9550fa3c3a000d8fb1657681d7ecb"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:ad6f9550fa3c3a000d8fb1657681d7ecb"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad6f9550fa3c3a000d8fb1657681d7ecb">mdivide_left</a> (const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="separator:ad6f9550fa3c3a000d8fb1657681d7ecb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad0203466ed040dd643c8b6d4a78d7f53"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:ad0203466ed040dd643c8b6d4a78d7f53"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a84f1163f092f8ce7053a67d3d46302ef"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A.  <a href="#a84f1163f092f8ce7053a67d3d46302ef">More...</a><br /></td></tr>
+<tr class="separator:a84f1163f092f8ce7053a67d3d46302ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6a4be1cd5b51a7d2758a75e9541ad042"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="memdesc:a6a4be1cd5b51a7d2758a75e9541ad042"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A.  <a href="#a6a4be1cd5b51a7d2758a75e9541ad042">More...</a><br /></td></tr>
+<tr class="separator:a6a4be1cd5b51a7d2758a75e9541ad042"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aed166703ba12f63c6cad94e0cc5a6f8f"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="memitem:a1ba7ed90b8091cf3dee35b9d4688cbc0"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="memitem:a064999d72ccfe825466a8d35221270c6"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
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+<tr class="separator:a064999d72ccfe825466a8d35221270c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a2287bd9466a58f7df6ca88bf3374c7e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a0671954ee3596b7ca59ec1e3bf832c63"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6ba7d9d70a0b0c4515d767bcde7d2f66"><td class="memTemplParams" colspan="2">template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </td></tr>
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+<tr class="separator:a6ba7d9d70a0b0c4515d767bcde7d2f66"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aeaecf22fee1b8944975a8124cd294bf0"><td class="memTemplParams" colspan="2">template&lt;typename T1 , int C1, typename T2 , int R2&gt; </td></tr>
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+<tr class="separator:aeaecf22fee1b8944975a8124cd294bf0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6f4d12daa275a9a471974f6447396266"><td class="memItemLeft" align="right" valign="top"><a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6f4d12daa275a9a471974f6447396266">multiply_lower_tri_self_transpose</a> (const <a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a> &amp;L)</td></tr>
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+<tr class="separator:aa6a5f3ceef72929ae7b80e83338d33f3"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a9fc994b4977baae2d53f2d0a60c77522"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a8583739553a742829c5e0b39879af0dd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac0391669326527e057a3f0865703b13d"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
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+<tr class="separator:ac0391669326527e057a3f0865703b13d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a8cefcb10a8af1224993d04e812f74e5e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5d8d83ef27eeacd30d11964ce32f4186"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
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+<tr class="separator:a5d8d83ef27eeacd30d11964ce32f4186"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2d2e9c8de72e19836336f70e6c03341c"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a1ec64f77d2621d9f1aada5a8d2e90c2b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a03ab719a94e19bfcf26e208ffcf5ff9a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:adae9f601dd5faa6dcfa6e4edd7e84be9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a40674afd6b5163ad3e859fc7da721faf"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a345ee377fd33a8f5101a87482e098247"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="#a345ee377fd33a8f5101a87482e098247">More...</a><br /></td></tr>
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+<tr class="separator:abdd6f29816f4c58601da47f272848187"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ac98e7e17d969cb7ee4b36dce58137cba"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="#ac98e7e17d969cb7ee4b36dce58137cba">More...</a><br /></td></tr>
+<tr class="separator:ac98e7e17d969cb7ee4b36dce58137cba"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ac28a0e06bb7bd6be39ef50f90e529ccd"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:af2dc9df09e11dc3e66438bb5d9aa457f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a04f24e9594341db1cc4ceaf5a69f039b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ad36aabce74e96042ee59caa9189e9a92"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aee50515a7b08b2d38f50c96c03b4f42a"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
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+<tr class="separator:aee50515a7b08b2d38f50c96c03b4f42a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ac0400489c86a0f208ed17371ab97254f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a1eaa439c773642486cf1b19ab721810d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a04f90e73bf6b6aee8376e29eca277527"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a4666717786c59b911d557d8865a41d74"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a77292bb0c64aa3243c86437cae645ea2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a77292bb0c64aa3243c86437cae645ea2">free_cvodes_memory</a> (N_Vector &amp;cvodes_state, N_Vector *cvodes_state_sens, void *cvodes_mem, size_t S)</td></tr>
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+<tr class="separator:a77292bb0c64aa3243c86437cae645ea2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a8e22309832ef6310a05a7f378562e330"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9ceeaed84c0c91fea1c362395f4e464c"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
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+<tr class="separator:a971adca9c3989255ca1f9568f8e7dc93"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5b472e155399f39ba2d7e26abb50cd7b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5b472e155399f39ba2d7e26abb50cd7b">acos</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
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+<tr class="separator:a5b472e155399f39ba2d7e26abb50cd7b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a9a8d20387e255363750b779b213d734f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab7ad9c5e9f0b2f99b96133ad7a158f64"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab710bf940838cc452c426597f55f74dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:af6d7b01cd76067a0fa8d424b4e81a4fc"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a85cb80cff5115679c25d7347ffa89c81"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a32fe21eb929346e553266ceda0a97f23"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:acf0d4eeedff1e94221e2b719d0227e25"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a02a3681701397c99fd57d8816869b92f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9cbf81b5222fb11c01b539fab0434bdd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9cbf81b5222fb11c01b539fab0434bdd">atanh</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
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+<tr class="separator:a9cbf81b5222fb11c01b539fab0434bdd"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a87b93caccb44639dea5c47f78fe6be28"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a2a865962fcd8998de077f4a77b0a4ffa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a06e924d5a6c94f7593056b5cb1324b66"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a06e924d5a6c94f7593056b5cb1324b66">ceil</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:a06e924d5a6c94f7593056b5cb1324b66"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the ceiling of the specified variable (cmath).  <a href="#a06e924d5a6c94f7593056b5cb1324b66">More...</a><br /></td></tr>
+<tr class="separator:a06e924d5a6c94f7593056b5cb1324b66"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0f3ac00ed58d998daed7f4d97195e967"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0f3ac00ed58d998daed7f4d97195e967">cos</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:a0f3ac00ed58d998daed7f4d97195e967"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the cosine of a radian-scaled variable (cmath).  <a href="#a0f3ac00ed58d998daed7f4d97195e967">More...</a><br /></td></tr>
+<tr class="separator:a0f3ac00ed58d998daed7f4d97195e967"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab2a43fcaf01cfef4c73074e77390a205"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab2a43fcaf01cfef4c73074e77390a205">cosh</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:ab2a43fcaf01cfef4c73074e77390a205"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the hyperbolic cosine of the specified variable (cmath).  <a href="#ab2a43fcaf01cfef4c73074e77390a205">More...</a><br /></td></tr>
+<tr class="separator:ab2a43fcaf01cfef4c73074e77390a205"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a366ba0d22b63d45054e4a022e4ffa994"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a366ba0d22b63d45054e4a022e4ffa994">digamma</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="separator:a366ba0d22b63d45054e4a022e4ffa994"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a759d52872682fdf0d6a7a6d75b4f1d9e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a759d52872682fdf0d6a7a6d75b4f1d9e">erf</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:a759d52872682fdf0d6a7a6d75b4f1d9e"><td class="mdescLeft">&#160;</td><td class="mdescRight">The error function for variables (C99).  <a href="#a759d52872682fdf0d6a7a6d75b4f1d9e">More...</a><br /></td></tr>
+<tr class="separator:a759d52872682fdf0d6a7a6d75b4f1d9e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a8a8543e9c729e794bcbdff2ed223eb45"><td class="mdescLeft">&#160;</td><td class="mdescRight">The complementary error function for variables (C99).  <a href="#a8a8543e9c729e794bcbdff2ed223eb45">More...</a><br /></td></tr>
+<tr class="separator:a8a8543e9c729e794bcbdff2ed223eb45"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae43b048d4a5f53f94501773c93689a65"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae43b048d4a5f53f94501773c93689a65">exp</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:ae43b048d4a5f53f94501773c93689a65"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the exponentiation of the specified variable (cmath).  <a href="#ae43b048d4a5f53f94501773c93689a65">More...</a><br /></td></tr>
+<tr class="separator:ae43b048d4a5f53f94501773c93689a65"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9fd4650bbf246a10ac798c71da8b99d5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9fd4650bbf246a10ac798c71da8b99d5">exp2</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:a9fd4650bbf246a10ac798c71da8b99d5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Exponentiation base 2 function for variables (C99).  <a href="#a9fd4650bbf246a10ac798c71da8b99d5">More...</a><br /></td></tr>
+<tr class="separator:a9fd4650bbf246a10ac798c71da8b99d5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8c632ff37556a4989fb351042da3a05a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8c632ff37556a4989fb351042da3a05a">expm1</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:a8c632ff37556a4989fb351042da3a05a"><td class="mdescLeft">&#160;</td><td class="mdescRight">The exponentiation of the specified variable minus 1 (C99).  <a href="#a8c632ff37556a4989fb351042da3a05a">More...</a><br /></td></tr>
+<tr class="separator:a8c632ff37556a4989fb351042da3a05a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aea8428395b18c89bc01669915993b8e7"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aea8428395b18c89bc01669915993b8e7">fabs</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:aea8428395b18c89bc01669915993b8e7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the absolute value of the variable (cmath).  <a href="#aea8428395b18c89bc01669915993b8e7">More...</a><br /></td></tr>
+<tr class="separator:aea8428395b18c89bc01669915993b8e7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a96fdf588b0a37df21c5b67ed7370b003"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a96fdf588b0a37df21c5b67ed7370b003">falling_factorial</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a, const double &amp;b)</td></tr>
+<tr class="separator:a96fdf588b0a37df21c5b67ed7370b003"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a78f5570887f609618c63c727afda46ba"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a78f5570887f609618c63c727afda46ba">falling_factorial</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;b)</td></tr>
+<tr class="separator:a78f5570887f609618c63c727afda46ba"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:add6fa4b14f17cc4df149df09224a18b9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#add6fa4b14f17cc4df149df09224a18b9">falling_factorial</a> (const double &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;b)</td></tr>
+<tr class="separator:add6fa4b14f17cc4df149df09224a18b9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6f899b184aa38d3a5f814518611a0666"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6f899b184aa38d3a5f814518611a0666">fdim</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:a6f899b184aa38d3a5f814518611a0666"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the positive difference between the first variable's the value and the second's (C99).  <a href="#a6f899b184aa38d3a5f814518611a0666">More...</a><br /></td></tr>
+<tr class="separator:a6f899b184aa38d3a5f814518611a0666"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6fe00d070fb14766341060f7f0fe2627"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6fe00d070fb14766341060f7f0fe2627">fdim</a> (const double &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:a6fe00d070fb14766341060f7f0fe2627"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the positive difference between the first value and the value of the second variable (C99).  <a href="#a6fe00d070fb14766341060f7f0fe2627">More...</a><br /></td></tr>
+<tr class="separator:a6fe00d070fb14766341060f7f0fe2627"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a014a74412301cf66626baa1fe1491d94"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a014a74412301cf66626baa1fe1491d94">fdim</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const double &amp;b)</td></tr>
+<tr class="memdesc:a014a74412301cf66626baa1fe1491d94"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the positive difference between the first variable's value and the second value (C99).  <a href="#a014a74412301cf66626baa1fe1491d94">More...</a><br /></td></tr>
+<tr class="separator:a014a74412301cf66626baa1fe1491d94"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a66dea6b6d18e39c5b0f38d3204aa04d5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a66dea6b6d18e39c5b0f38d3204aa04d5">floor</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:a66dea6b6d18e39c5b0f38d3204aa04d5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the floor of the specified variable (cmath).  <a href="#a66dea6b6d18e39c5b0f38d3204aa04d5">More...</a><br /></td></tr>
+<tr class="separator:a66dea6b6d18e39c5b0f38d3204aa04d5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3f3ab44e4f8a8430bd1fd19e37101555"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3f3ab44e4f8a8430bd1fd19e37101555">fma</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;c)</td></tr>
+<tr class="memdesc:a3f3ab44e4f8a8430bd1fd19e37101555"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add function for three variables (C99).  <a href="#a3f3ab44e4f8a8430bd1fd19e37101555">More...</a><br /></td></tr>
+<tr class="separator:a3f3ab44e4f8a8430bd1fd19e37101555"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab57371eb5b1cf21e7fa089e89758bdef"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab57371eb5b1cf21e7fa089e89758bdef">fma</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b, const double &amp;c)</td></tr>
+<tr class="memdesc:ab57371eb5b1cf21e7fa089e89758bdef"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add function for two variables and a value (C99).  <a href="#ab57371eb5b1cf21e7fa089e89758bdef">More...</a><br /></td></tr>
+<tr class="separator:ab57371eb5b1cf21e7fa089e89758bdef"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2d1708d9819f74c9b8663c802a2d1a2a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2d1708d9819f74c9b8663c802a2d1a2a">fma</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const double &amp;b, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;c)</td></tr>
+<tr class="memdesc:a2d1708d9819f74c9b8663c802a2d1a2a"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add function for a variable, value, and variable (C99).  <a href="#a2d1708d9819f74c9b8663c802a2d1a2a">More...</a><br /></td></tr>
+<tr class="separator:a2d1708d9819f74c9b8663c802a2d1a2a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6a7340a4f23e33e671e53c2582c63272"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6a7340a4f23e33e671e53c2582c63272">fma</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const double &amp;b, const double &amp;c)</td></tr>
+<tr class="memdesc:a6a7340a4f23e33e671e53c2582c63272"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add function for a variable and two values (C99).  <a href="#a6a7340a4f23e33e671e53c2582c63272">More...</a><br /></td></tr>
+<tr class="separator:a6a7340a4f23e33e671e53c2582c63272"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab4becb131eda9f3e3f1ca06e373fea66"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab4becb131eda9f3e3f1ca06e373fea66">fma</a> (const double &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b, const double &amp;c)</td></tr>
+<tr class="memdesc:ab4becb131eda9f3e3f1ca06e373fea66"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add function for a value, variable, and value (C99).  <a href="#ab4becb131eda9f3e3f1ca06e373fea66">More...</a><br /></td></tr>
+<tr class="separator:ab4becb131eda9f3e3f1ca06e373fea66"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad6917da974098b0bb02883839f1ae0e1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad6917da974098b0bb02883839f1ae0e1">fma</a> (const double &amp;a, const double &amp;b, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;c)</td></tr>
+<tr class="memdesc:ad6917da974098b0bb02883839f1ae0e1"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add function for two values and a variable, and value (C99).  <a href="#ad6917da974098b0bb02883839f1ae0e1">More...</a><br /></td></tr>
+<tr class="separator:ad6917da974098b0bb02883839f1ae0e1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae9f288e71a8a7012ad123ca361f6a739"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">fma</a> (const double &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;c)</td></tr>
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+<tr class="separator:ae9f288e71a8a7012ad123ca361f6a739"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab9ecd1367428932c3515ef3c374e6e9e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a6806c0d68c9e23e905b4ca36119734bd"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ac8ed9105d1156ceaca26ab323f1a2648"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:af97d9968df786f813758bce4a8909f62"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a25f15a75139ebb4a3b599a1190d39fc1"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a0827e995b465dcb291c3de1a77e2b547"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of the hypoteneuse of a right triangle with sides of the specified lengths (C99).  <a href="#a0827e995b465dcb291c3de1a77e2b547">More...</a><br /></td></tr>
+<tr class="separator:a0827e995b465dcb291c3de1a77e2b547"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abcb40e789140be0e0b93a44e055a6cfc"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abcb40e789140be0e0b93a44e055a6cfc">hypot</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a, double b)</td></tr>
+<tr class="memdesc:abcb40e789140be0e0b93a44e055a6cfc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of the hypoteneuse of a right triangle with sides of the specified lengths (C99).  <a href="#abcb40e789140be0e0b93a44e055a6cfc">More...</a><br /></td></tr>
+<tr class="separator:abcb40e789140be0e0b93a44e055a6cfc"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a5c9d2305ce89a46a7d182e6014fd0b3f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of the hypoteneuse of a right triangle with sides of the specified lengths (C99).  <a href="#a5c9d2305ce89a46a7d182e6014fd0b3f">More...</a><br /></td></tr>
+<tr class="separator:a5c9d2305ce89a46a7d182e6014fd0b3f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8c7547dffd79bc54378fb3906345500e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8c7547dffd79bc54378fb3906345500e">ibeta</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;b, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;x)</td></tr>
+<tr class="memdesc:a8c7547dffd79bc54378fb3906345500e"><td class="mdescLeft">&#160;</td><td class="mdescRight">The normalized incomplete beta function of a, b, and x.  <a href="#a8c7547dffd79bc54378fb3906345500e">More...</a><br /></td></tr>
+<tr class="separator:a8c7547dffd79bc54378fb3906345500e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abb35d5a60bdc11a5d09eb629c50b5db5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abb35d5a60bdc11a5d09eb629c50b5db5">if_else</a> (bool c, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;y_true, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;y_false)</td></tr>
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+<tr class="separator:abb35d5a60bdc11a5d09eb629c50b5db5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abc1dc3a479994402ee1959b75fa2c70f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abc1dc3a479994402ee1959b75fa2c70f">if_else</a> (bool c, double y_true, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;y_false)</td></tr>
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+<tr class="separator:abc1dc3a479994402ee1959b75fa2c70f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a09912038470cc9d13d754296b1fe6949"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a09912038470cc9d13d754296b1fe6949">if_else</a> (bool c, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;y_true, const double y_false)</td></tr>
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+<tr class="separator:a09912038470cc9d13d754296b1fe6949"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:abf29f2f025873816925c6786842d0afe"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ad0b645189bc4899956bdba20158a0ee6"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
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+</p>
+  <a href="#ad0b645189bc4899956bdba20158a0ee6">More...</a><br /></td></tr>
+<tr class="separator:ad0b645189bc4899956bdba20158a0ee6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ab834f530318a33700ba2c66b74ea3bf5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the inverse complementary log-log function applied specified variable (stan).  <a href="#ab834f530318a33700ba2c66b74ea3bf5">More...</a><br /></td></tr>
+<tr class="separator:ab834f530318a33700ba2c66b74ea3bf5"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ad7d7861511ad7d8a82e17a1e9fa573de"><td class="mdescLeft">&#160;</td><td class="mdescRight">The inverse logit function for variables (stan).  <a href="#ad7d7861511ad7d8a82e17a1e9fa573de">More...</a><br /></td></tr>
+<tr class="separator:ad7d7861511ad7d8a82e17a1e9fa573de"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3450dbd4a7dae0165e11a40e1b0d4b37"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3450dbd4a7dae0165e11a40e1b0d4b37">inv_Phi</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;p)</td></tr>
+<tr class="memdesc:a3450dbd4a7dae0165e11a40e1b0d4b37"><td class="mdescLeft">&#160;</td><td class="mdescRight">The inverse of unit normal cumulative density function.  <a href="#a3450dbd4a7dae0165e11a40e1b0d4b37">More...</a><br /></td></tr>
+<tr class="separator:a3450dbd4a7dae0165e11a40e1b0d4b37"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a4f3e1382ec567be20643caef30076869"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{inv\_sqrt}(x) = \begin{cases} \frac{1}{\sqrt{x}} &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_387.png"/>
+</p>
+  <a href="#a4f3e1382ec567be20643caef30076869">More...</a><br /></td></tr>
+<tr class="separator:a4f3e1382ec567be20643caef30076869"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa347bbaada35746d4fbd644549416ce3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa347bbaada35746d4fbd644549416ce3">inv_square</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:aa347bbaada35746d4fbd644549416ce3"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{inv\_square}(x) = \begin{cases} \frac{1}{x^2} &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_389.png"/>
+</p>
+  <a href="#aa347bbaada35746d4fbd644549416ce3">More...</a><br /></td></tr>
+<tr class="separator:aa347bbaada35746d4fbd644549416ce3"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a2c050932da2e90902bda668170379545"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:acf8ef1e06cddc77c4c56311f937cc183"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a2f8d228f0969deddaf2c485f07452fd5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns <code>true</code> if the specified variable is uninitialized.  <a href="#a2f8d228f0969deddaf2c485f07452fd5">More...</a><br /></td></tr>
+<tr class="separator:a2f8d228f0969deddaf2c485f07452fd5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a21018562738b2bf94984bcb7e1c9865b"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a21018562738b2bf94984bcb7e1c9865b">lgamma</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:a21018562738b2bf94984bcb7e1c9865b"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log gamma function for variables (C99).  <a href="#a21018562738b2bf94984bcb7e1c9865b">More...</a><br /></td></tr>
+<tr class="separator:a21018562738b2bf94984bcb7e1c9865b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a3f77e1a76bdde13d243f68d45c1d392b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a8a236280de2603e0ead1966468f0ceea"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the natural log of the specified variable (cmath).  <a href="#a8a236280de2603e0ead1966468f0ceea">More...</a><br /></td></tr>
+<tr class="separator:a8a236280de2603e0ead1966468f0ceea"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:af56e2f9808a531946681d3644307edeb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the base 10 log of the specified variable (cmath).  <a href="#af56e2f9808a531946681d3644307edeb">More...</a><br /></td></tr>
+<tr class="separator:af56e2f9808a531946681d3644307edeb"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a5aaee0104c1b99038dda2dbb769abae1"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log (1 - x) function for variables.  <a href="#a5aaee0104c1b99038dda2dbb769abae1">More...</a><br /></td></tr>
+<tr class="separator:a5aaee0104c1b99038dda2dbb769abae1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aab62e8d3067ce13dea1b2ee4f38618b1"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aab62e8d3067ce13dea1b2ee4f38618b1">log1m_exp</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:aab62e8d3067ce13dea1b2ee4f38618b1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of 1 minus the exponential of the specified variable.  <a href="#aab62e8d3067ce13dea1b2ee4f38618b1">More...</a><br /></td></tr>
+<tr class="separator:aab62e8d3067ce13dea1b2ee4f38618b1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9851bec44891899ceacfc17ef6e86b21"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9851bec44891899ceacfc17ef6e86b21">log1p</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:a9851bec44891899ceacfc17ef6e86b21"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log (1 + x) function for variables (C99).  <a href="#a9851bec44891899ceacfc17ef6e86b21">More...</a><br /></td></tr>
+<tr class="separator:a9851bec44891899ceacfc17ef6e86b21"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abaffb88be27fafab634c74e14508e0f3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abaffb88be27fafab634c74e14508e0f3">log1p_exp</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:abaffb88be27fafab634c74e14508e0f3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of 1 plus the exponential of the specified variable.  <a href="#abaffb88be27fafab634c74e14508e0f3">More...</a><br /></td></tr>
+<tr class="separator:abaffb88be27fafab634c74e14508e0f3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6322be7704b2efc1e36951b46bb88568"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6322be7704b2efc1e36951b46bb88568">log2</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:a6322be7704b2efc1e36951b46bb88568"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the base 2 logarithm of the specified variable (C99).  <a href="#a6322be7704b2efc1e36951b46bb88568">More...</a><br /></td></tr>
+<tr class="separator:a6322be7704b2efc1e36951b46bb88568"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a43fccfff5553aa860351a147ab10e301"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a43fccfff5553aa860351a147ab10e301">log_diff_exp</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:a43fccfff5553aa860351a147ab10e301"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="#a43fccfff5553aa860351a147ab10e301">More...</a><br /></td></tr>
+<tr class="separator:a43fccfff5553aa860351a147ab10e301"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7a09bd43a4ade10703b6a1fb521d09e8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7a09bd43a4ade10703b6a1fb521d09e8">log_diff_exp</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const double &amp;b)</td></tr>
+<tr class="memdesc:a7a09bd43a4ade10703b6a1fb521d09e8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="#a7a09bd43a4ade10703b6a1fb521d09e8">More...</a><br /></td></tr>
+<tr class="separator:a7a09bd43a4ade10703b6a1fb521d09e8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a03afe35a61cd6068465799e22d600879"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a03afe35a61cd6068465799e22d600879">log_diff_exp</a> (const double &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:a03afe35a61cd6068465799e22d600879"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="#a03afe35a61cd6068465799e22d600879">More...</a><br /></td></tr>
+<tr class="separator:a03afe35a61cd6068465799e22d600879"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6f5951b9e0e640a8f2f53348015387c4"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6f5951b9e0e640a8f2f53348015387c4">log_falling_factorial</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a, const double &amp;b)</td></tr>
+<tr class="separator:a6f5951b9e0e640a8f2f53348015387c4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a1a6fbe2cf74d7dc89d10999d512c3efd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a599bc1031e28ecc3cc192b07bdced6ed"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a599bc1031e28ecc3cc192b07bdced6ed">log_falling_factorial</a> (const double &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;b)</td></tr>
+<tr class="separator:a599bc1031e28ecc3cc192b07bdced6ed"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8b3e6e5267f60e3537dd8bdd0299a3ee"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8b3e6e5267f60e3537dd8bdd0299a3ee">log_mix_partial_helper</a> (const double &amp;theta_val, const double &amp;lambda1_val, const double &amp;lambda2_val, double &amp;one_m_exp_lam2_m_lam1, double &amp;one_m_t_prod_exp_lam2_m_lam1, double &amp;one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1)</td></tr>
+<tr class="separator:a8b3e6e5267f60e3537dd8bdd0299a3ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a91f87ac712232f684f398ff5e5865887"><td class="memTemplParams" colspan="2">template&lt;typename T_theta , typename T_lambda1 , typename T_lambda2 &gt; </td></tr>
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+<tr class="memdesc:a91f87ac712232f684f398ff5e5865887"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log mixture density with specified mixing proportion and log densities and its derivative at each.  <a href="#a91f87ac712232f684f398ff5e5865887">More...</a><br /></td></tr>
+<tr class="separator:a91f87ac712232f684f398ff5e5865887"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ad88a365e721ffe6c1da4115e378bebf4"><td class="mdescLeft">&#160;</td><td class="mdescRight">The unit normal cumulative density function for variables (stan).  <a href="#ad88a365e721ffe6c1da4115e378bebf4">More...</a><br /></td></tr>
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+<tr class="separator:a52dafae271ea06210bf3cbe2545ead16"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a0ccbe1638f463027973553dec7175dbc"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a241b79300774f40a6e67b7156b494462"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:ab438f4b0a11d8551fe5605237f655730"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa1b349cd070427c412c2c0a0d32327b5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa1b349cd070427c412c2c0a0d32327b5">square</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;x)</td></tr>
+<tr class="memdesc:aa1b349cd070427c412c2c0a0d32327b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the square of the input variable.  <a href="#aa1b349cd070427c412c2c0a0d32327b5">More...</a><br /></td></tr>
+<tr class="separator:aa1b349cd070427c412c2c0a0d32327b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8a7c701333f443140d6d4bfdde5b15b3"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8a7c701333f443140d6d4bfdde5b15b3">step</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:a8a7c701333f443140d6d4bfdde5b15b3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the step, or heaviside, function applied to the specified variable (stan).  <a href="#a8a7c701333f443140d6d4bfdde5b15b3">More...</a><br /></td></tr>
+<tr class="separator:a8a7c701333f443140d6d4bfdde5b15b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adf8320fd61a3c0c73f2ab8d78d949e58"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adf8320fd61a3c0c73f2ab8d78d949e58">tan</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:adf8320fd61a3c0c73f2ab8d78d949e58"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the tangent of a radian-scaled variable (cmath).  <a href="#adf8320fd61a3c0c73f2ab8d78d949e58">More...</a><br /></td></tr>
+<tr class="separator:adf8320fd61a3c0c73f2ab8d78d949e58"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6d342831ec24762b18f71ba4fba54621"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6d342831ec24762b18f71ba4fba54621">tanh</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:a6d342831ec24762b18f71ba4fba54621"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the hyperbolic tangent of the specified variable (cmath).  <a href="#a6d342831ec24762b18f71ba4fba54621">More...</a><br /></td></tr>
+<tr class="separator:a6d342831ec24762b18f71ba4fba54621"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af27ba386c3836a69c7d270f89c946268"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af27ba386c3836a69c7d270f89c946268">tgamma</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:af27ba386c3836a69c7d270f89c946268"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the Gamma function applied to the specified variable (C99).  <a href="#af27ba386c3836a69c7d270f89c946268">More...</a><br /></td></tr>
+<tr class="separator:af27ba386c3836a69c7d270f89c946268"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a06ea285d4408c28e9ec6dc2ca1b571b5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a06ea285d4408c28e9ec6dc2ca1b571b5">to_var</a> (const double &amp;x)</td></tr>
+<tr class="memdesc:a06ea285d4408c28e9ec6dc2ca1b571b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="#a06ea285d4408c28e9ec6dc2ca1b571b5">More...</a><br /></td></tr>
+<tr class="separator:a06ea285d4408c28e9ec6dc2ca1b571b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:adad5c0d61bde25dc78e090509b4b3149"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adad5c0d61bde25dc78e090509b4b3149">to_var</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;x)</td></tr>
+<tr class="memdesc:adad5c0d61bde25dc78e090509b4b3149"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="#adad5c0d61bde25dc78e090509b4b3149">More...</a><br /></td></tr>
+<tr class="separator:adad5c0d61bde25dc78e090509b4b3149"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a80e85e1eba4076438c72cd986fde40e8"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a80e85e1eba4076438c72cd986fde40e8">trunc</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;a)</td></tr>
+<tr class="memdesc:a80e85e1eba4076438c72cd986fde40e8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the truncatation of the specified variable (C99).  <a href="#a80e85e1eba4076438c72cd986fde40e8">More...</a><br /></td></tr>
+<tr class="separator:a80e85e1eba4076438c72cd986fde40e8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0a759dd2a7ff07dbf11f60d9e1352bb3"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0a759dd2a7ff07dbf11f60d9e1352bb3">value_of</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;v)</td></tr>
+<tr class="memdesc:a0a759dd2a7ff07dbf11f60d9e1352bb3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of the specified variable.  <a href="#a0a759dd2a7ff07dbf11f60d9e1352bb3">More...</a><br /></td></tr>
+<tr class="separator:a0a759dd2a7ff07dbf11f60d9e1352bb3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab481d22f60e4cb93d629ac5d9f43bb00"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab481d22f60e4cb93d629ac5d9f43bb00">value_of_rec</a> (const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;v)</td></tr>
+<tr class="memdesc:ab481d22f60e4cb93d629ac5d9f43bb00"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of the specified variable.  <a href="#ab481d22f60e4cb93d629ac5d9f43bb00">More...</a><br /></td></tr>
+<tr class="separator:ab481d22f60e4cb93d629ac5d9f43bb00"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
+Variables</h2></td></tr>
+<tr class="memitem:aece739c5a2672028f0c7848045b89f08"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aece739c5a2672028f0c7848045b89f08">CONSTRAINT_TOLERANCE</a> = 1E-8</td></tr>
+<tr class="memdesc:aece739c5a2672028f0c7848045b89f08"><td class="mdescLeft">&#160;</td><td class="mdescRight">The tolerance for checking arithmetic bounds In rank and in simplexes.  <a href="#aece739c5a2672028f0c7848045b89f08">More...</a><br /></td></tr>
+<tr class="separator:aece739c5a2672028f0c7848045b89f08"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a66f94e47c6dc073bbd3929903b4431fe"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a66f94e47c6dc073bbd3929903b4431fe">E</a> = boost::math::constants::e&lt;double&gt;()</td></tr>
+<tr class="memdesc:a66f94e47c6dc073bbd3929903b4431fe"><td class="mdescLeft">&#160;</td><td class="mdescRight">The base of the natural logarithm, <img class="formulaInl" alt="$ e $" src="form_45.png"/>.  <a href="#a66f94e47c6dc073bbd3929903b4431fe">More...</a><br /></td></tr>
+<tr class="separator:a66f94e47c6dc073bbd3929903b4431fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a491d6e40aaa2a3e205ea6708dc3c75dd"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a> = std::sqrt(2.0)</td></tr>
+<tr class="memdesc:a491d6e40aaa2a3e205ea6708dc3c75dd"><td class="mdescLeft">&#160;</td><td class="mdescRight">The value of the square root of 2, <img class="formulaInl" alt="$ \sqrt{2} $" src="form_46.png"/>.  <a href="#a491d6e40aaa2a3e205ea6708dc3c75dd">More...</a><br /></td></tr>
+<tr class="separator:a491d6e40aaa2a3e205ea6708dc3c75dd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5491e346d5a812af988f8de4a5948c88"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a> = 1.0 / <a class="el" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a></td></tr>
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+<tr class="separator:a5491e346d5a812af988f8de4a5948c88"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a43fb48f0a7f26bc60c1dfb572283b149"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a43fb48f0a7f26bc60c1dfb572283b149">LOG_2</a> = std::log(2.0)</td></tr>
+<tr class="memdesc:a43fb48f0a7f26bc60c1dfb572283b149"><td class="mdescLeft">&#160;</td><td class="mdescRight">The natural logarithm of 2, <img class="formulaInl" alt="$ \log 2 $" src="form_48.png"/>.  <a href="#a43fb48f0a7f26bc60c1dfb572283b149">More...</a><br /></td></tr>
+<tr class="separator:a43fb48f0a7f26bc60c1dfb572283b149"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab773773e2db53015eb48ab1730816fb5"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab773773e2db53015eb48ab1730816fb5">LOG_10</a> = std::log(10.0)</td></tr>
+<tr class="memdesc:ab773773e2db53015eb48ab1730816fb5"><td class="mdescLeft">&#160;</td><td class="mdescRight">The natural logarithm of 10, <img class="formulaInl" alt="$ \log 10 $" src="form_49.png"/>.  <a href="#ab773773e2db53015eb48ab1730816fb5">More...</a><br /></td></tr>
+<tr class="separator:ab773773e2db53015eb48ab1730816fb5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7f2ac8ebf3095e9934715bb34f0669b3"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7f2ac8ebf3095e9934715bb34f0669b3">INFTY</a> = std::numeric_limits&lt;double&gt;::infinity()</td></tr>
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+<tr class="separator:a7f2ac8ebf3095e9934715bb34f0669b3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa37d0f67f02e0a0b5797ed9f4df56bfb"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa37d0f67f02e0a0b5797ed9f4df56bfb">NEGATIVE_INFTY</a> = - std::numeric_limits&lt;double&gt;::infinity()</td></tr>
+<tr class="memdesc:aa37d0f67f02e0a0b5797ed9f4df56bfb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Negative infinity.  <a href="#aa37d0f67f02e0a0b5797ed9f4df56bfb">More...</a><br /></td></tr>
+<tr class="separator:aa37d0f67f02e0a0b5797ed9f4df56bfb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9cf147700a2e38335abc618b2c913b8a"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9cf147700a2e38335abc618b2c913b8a">NOT_A_NUMBER</a> = std::numeric_limits&lt;double&gt;::quiet_NaN()</td></tr>
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+<tr class="separator:a9cf147700a2e38335abc618b2c913b8a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5ffd625c2083751d7ccabb7dbe39cbe0"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5ffd625c2083751d7ccabb7dbe39cbe0">EPSILON</a> = std::numeric_limits&lt;double&gt;::epsilon()</td></tr>
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+<tr class="separator:a5ffd625c2083751d7ccabb7dbe39cbe0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1dcea3a9752d079c9f972040b873b704"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1dcea3a9752d079c9f972040b873b704">NEGATIVE_EPSILON</a> = - std::numeric_limits&lt;double&gt;::epsilon()</td></tr>
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+<tr class="separator:a1dcea3a9752d079c9f972040b873b704"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4ea938c86917d89bbd13e4edcbecb1be"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">POISSON_MAX_RATE</a> = std::pow(2.0, 30)</td></tr>
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+<tr class="separator:a4ea938c86917d89bbd13e4edcbecb1be"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a177764626d2378e0d7bdfb26aac187b6"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a177764626d2378e0d7bdfb26aac187b6">LOG_PI_OVER_FOUR</a> = std::log(boost::math::constants::pi&lt;double&gt;()) / 4.0</td></tr>
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+<tr class="separator:a177764626d2378e0d7bdfb26aac187b6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3e31fd76fde6e97d14dfb26c5f4ab8d0"><td class="memItemLeft" align="right" valign="top">const double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">SQRT_PI</a> = std::sqrt(boost::math::constants::pi&lt;double&gt;())</td></tr>
+<tr class="separator:a3e31fd76fde6e97d14dfb26c5f4ab8d0"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:aa628c5af5a85d53472f0126fcca44524"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a935530f53a026ebb80fcd9006059e9c8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a60295ca22b8701af9a3ccf3b607231f4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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+</div><div class="memdoc">
+
+<p>The type of a row vector holding <code><a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a></code> values. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html#l00037">37</a> of file <a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">typedefs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a98ff1baf06b8c5e2fc241bba99d0a97d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index <a class="el" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Type for sizes and indexes in an <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix with double e. </p>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">13</a> of file <a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">typedefs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac9e96c15b87fbd704ab9bcf77e7597db"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt; <a class="el" href="namespacestan_1_1math.html#ac9e96c15b87fbd704ab9bcf77e7597db">stan::math::vector_d</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Type for (column) vector of double values. </p>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html#l00030">30</a> of file <a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">typedefs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a961a316bf3b39b578ec6382096da3e9a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;double&gt;, Eigen::Dynamic, 1&gt; <a class="el" href="namespacestan_1_1math.html#a961a316bf3b39b578ec6382096da3e9a">stan::math::vector_fd</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00025">25</a> of file <a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">typedefs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a846bbc633c1a4c67cd805bbf61f42be0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;double&gt; &gt;, Eigen::Dynamic, 1&gt; <a class="el" href="namespacestan_1_1math.html#a846bbc633c1a4c67cd805bbf61f42be0">stan::math::vector_ffd</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00029">29</a> of file <a class="el" href="fwd_2mat_2fun_2typedefs_8hpp_source.html">typedefs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab1d0aff99d591327d929ee87054978ce"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt; &gt;, Eigen::Dynamic, 1&gt; <a class="el" href="namespacestan_1_1math.html#ab1d0aff99d591327d929ee87054978ce">stan::math::vector_ffv</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mix_2mat_2fun_2typedefs_8hpp_source.html#l00026">26</a> of file <a class="el" href="mix_2mat_2fun_2typedefs_8hpp_source.html">typedefs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5065cc81264dfe941f8e9a3ecfe5ee85"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;, Eigen::Dynamic, 1&gt; <a class="el" href="namespacestan_1_1math.html#a5065cc81264dfe941f8e9a3ecfe5ee85">stan::math::vector_fv</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mix_2mat_2fun_2typedefs_8hpp_source.html#l00022">22</a> of file <a class="el" href="mix_2mat_2fun_2typedefs_8hpp_source.html">typedefs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa7d3137027b10bc7758d4c1763b58a8e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, Eigen::Dynamic, 1&gt; <a class="el" href="namespacestan_1_1math.html#aa7d3137027b10bc7758d4c1763b58a8e">stan::math::vector_v</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The type of a (column) vector holding <code><a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a></code> values. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html#l00029">29</a> of file <a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">typedefs.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Function Documentation</h2>
+<a class="anchor" id="ae560b842e3ed6e5939dc2177bf158265"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::abs </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2abs_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2abs_8hpp_source.html">abs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeb4764556637084eee528b45d8eaa767"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::abs </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return floating-point absolute value. </p>
+<p>Delegates to <code>fabs(double)</code> rather than <code>std::abs(int)</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>scalar </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>absolute value of scalar </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2abs_8hpp_source.html#l00019">19</a> of file <a class="el" href="prim_2scal_2fun_2abs_8hpp_source.html">abs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a971adca9c3989255ca1f9568f8e7dc93"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::abs </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the absolute value of the variable (std). </p>
+<p>Delegates to <code><a class="el" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">fabs()</a></code> (see for doc).</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{abs}(x) = \begin{cases} |x| &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_252.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{abs}(x)}{\partial x} = \begin{cases} -1 &amp; \mbox{if } x < 0 \\ 0 &amp; \mbox{if } x = 0 \\ 1 &amp; \mbox{if } x > 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_253.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable input. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Absolute value of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2abs_8hpp_source.html#l00035">35</a> of file <a class="el" href="rev_2scal_2fun_2abs_8hpp_source.html">abs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6952d8c23d69dc891dbe78e7d4ea7a80"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::acos </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2acos_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2acos_8hpp_source.html">acos.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5b472e155399f39ba2d7e26abb50cd7b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::acos </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the principal value of the arc cosine of a variable, in radians (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \arccos x = \frac{-1}{\sqrt{1 - x^2}}$" src="form_254.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{acos}(x) = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < -1\\ \arccos(x) &amp; \mbox{if } -1\leq x\leq 1 \\ \textrm{NaN} &amp; \mbox{if } x > 1\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_255.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{acos}(x)}{\partial x} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < -1\\ \frac{\partial\, \arccos(x)}{\partial x} &amp; \mbox{if } -1\leq x\leq 1 \\ \textrm{NaN} &amp; \mbox{if } x < -1\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_256.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \arccos(x)}{\partial x} = -\frac{1}{\sqrt{1-x^2}} \]" src="form_257.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable in range [-1, 1]. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Arc cosine of variable, in radians. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2acos_8hpp_source.html#l00059">59</a> of file <a class="el" href="rev_2scal_2fun_2acos_8hpp_source.html">acos.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae033720f1a26c44aa9d7fb4dcf547155"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::acosh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2acosh_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2acosh_8hpp_source.html">acosh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9a8d20387e255363750b779b213d734f"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::acosh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The inverse hyperbolic cosine function for variables (C99). </p>
+<p>For non-variable function, see <a class="el" href="namespacestan_1_1math.html#ae033720f1a26c44aa9d7fb4dcf547155">acosh()</a>.</p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \mbox{acosh}(x) = \frac{x}{x^2 - 1}$" src="form_258.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{acosh}(x) = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < 1 \\ \cosh^{-1}(x) &amp; \mbox{if } x \geq 1 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_259.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{acosh}(x)}{\partial x} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < 1 \\ \frac{\partial\, \cosh^{-1}(x)}{\partial x} &amp; \mbox{if } x \geq 1 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_260.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \cosh^{-1}(x)=\ln\left(x+\sqrt{x^2-1}\right) \]" src="form_261.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \cosh^{-1}(x)}{\partial x} = \frac{1}{\sqrt{x^2-1}} \]" src="form_262.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>The variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Inverse hyperbolic cosine of the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2acosh_8hpp_source.html#l00068">68</a> of file <a class="el" href="rev_2scal_2fun_2acosh_8hpp_source.html">acosh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab7092cc09ee412719d685be41a04982a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt; stan::math::add </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the sum of the specified matrices. </p>
+<p>The two matrices must have the same dimensions. </p><dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of first matrix. </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of second matrix. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of matrices. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of matrices. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m1</td><td>First matrix. </td></tr>
+    <tr><td class="paramname">m2</td><td>Second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of the matrices. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td>if m1 and m2 do not have the same dimensions. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="add_8hpp_source.html#l00027">27</a> of file <a class="el" href="add_8hpp_source.html">add.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a60c2f0966abaf6f80131423add52053d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt; stan::math::add </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the sum of the specified matrix and specified scalar. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of matrix. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Matrix. </td></tr>
+    <tr><td class="paramname">c</td><td>Scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The matrix plus the scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="add_8hpp_source.html#l00052">52</a> of file <a class="el" href="add_8hpp_source.html">add.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac7b8d8a7b33160a0c7304efc26fb46db"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt; stan::math::add </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the sum of the specified scalar and specified matrix. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">c</td><td>Scalar. </td></tr>
+    <tr><td class="paramname">m</td><td>Matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The scalar plus the matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="add_8hpp_source.html#l00074">74</a> of file <a class="el" href="add_8hpp_source.html">add.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1a238bf34fdfe67aa84300d9822f34be"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::add_initial_values </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Increment the state derived from the coupled system in the with the original initial state. </p>
+<p>This is necessary because the coupled system subtracts out the initial state in its representation when the initial state is unknown.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">y0</td><td>original initial values to add back into the coupled system. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">y</td><td>state of the coupled system on input, incremented with initial values on output. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00034">34</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9f2aa85e5119417b44958458dd714cff"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T1, T2&gt;::type, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::append_col </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of appending the second argument matrix after the first argument matrix, that is, putting them side by side, with the first matrix followed by the second matrix. </p>
+<p>The inputs can be (matrix, matrix), (matrix, vector), (vector, matrix), or (vector, vector) and the output is always a matrix.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of first matrix. </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of second matrix. </td></tr>
+    <tr><td class="paramname">R1</td><td>Row specification of first matrix. </td></tr>
+    <tr><td class="paramname">C1</td><td>Column specification of first matrix. </td></tr>
+    <tr><td class="paramname">R2</td><td>Row specification of second matrix. </td></tr>
+    <tr><td class="paramname">C2</td><td>Column specification of second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>First matrix. </td></tr>
+    <tr><td class="paramname">B</td><td>Second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of appending the first matrix followed by the second matrix side by side. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__col_8hpp_source.html#l00039">39</a> of file <a class="el" href="append__col_8hpp_source.html">append_col.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a10572fe52ef6b2ddbe94aa1549310289"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int C1, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T1, T2&gt;::type, 1, Eigen::Dynamic&gt; stan::math::append_col </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, 1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, 1, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of concatenaing the first row vector followed by the second row vector side by side, with the result being a row vector. </p>
+<p>This function applies to (row_vector, row_vector) and returns a row_vector.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of first row vector. </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of second row vector. </td></tr>
+    <tr><td class="paramname">C1</td><td>Column specification of first row vector. </td></tr>
+    <tr><td class="paramname">C2</td><td>Column specification of second row vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>First vector. </td></tr>
+    <tr><td class="paramname">B</td><td>Second vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of appending the second row vector to the right of the first row vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__col_8hpp_source.html#l00085">85</a> of file <a class="el" href="append__col_8hpp_source.html">append_col.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1462dc3a656316092e0557cdc276f377"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::append_col </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of appending the second argument matrix after the first argument matrix, that is, putting them side by side, with the first matrix followed by the second matrix. </p>
+<p>This is an overloaded template function for the case when both matrices have the same type.</p>
+<p>The inputs can be (matrix, matrix), (matrix, vector), (vector, matrix), or (vector, vector), and the output is always a matrix.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type of both matrices. </td></tr>
+    <tr><td class="paramname">R1</td><td>Row specification of first matrix. </td></tr>
+    <tr><td class="paramname">C1</td><td>Column specification of first matrix. </td></tr>
+    <tr><td class="paramname">R2</td><td>Row specification of second matrix. </td></tr>
+    <tr><td class="paramname">C2</td><td>Column specification of second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>First matrix. </td></tr>
+    <tr><td class="paramname">B</td><td>Second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of appending the first matrix followed by the second matrix side by side. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__col_8hpp_source.html#l00128">128</a> of file <a class="el" href="append__col_8hpp_source.html">append_col.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac5ba839958285c999e1f3bb5706bb9b6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int C1, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, 1, Eigen::Dynamic&gt; stan::math::append_col </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, 1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, 1, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of concatenaing the first row vector followed by the second row vector side by side, with the result being a row vector. </p>
+<p>This function applies to (row_vector, row_vector) and returns a row_vector.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type of both vectors. </td></tr>
+    <tr><td class="paramname">C1</td><td>Column specification of first row vector. </td></tr>
+    <tr><td class="paramname">C2</td><td>Column specification of second row vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>First vector. </td></tr>
+    <tr><td class="paramname">B</td><td>Second vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of appending the second row vector to the right of the first row vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__col_8hpp_source.html#l00160">160</a> of file <a class="el" href="append__col_8hpp_source.html">append_col.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7109247897a8a5530d481b3219eab226"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T1, T2&gt;::type, 1, Eigen::Dynamic&gt; stan::math::append_col </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of stacking an scalar on top of the a row vector, with the result being a row vector. </p>
+<p>This function applies to (scalar, row vector) and returns a row vector.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of the scalar </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of the row vector. </td></tr>
+    <tr><td class="paramname">R</td><td>Row specification of the row vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>scalar. </td></tr>
+    <tr><td class="paramname">B</td><td>row vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of stacking the scalar on top of the row vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__col_8hpp_source.html#l00188">188</a> of file <a class="el" href="append__col_8hpp_source.html">append_col.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ace861531ce1f3daf3bb810ec50cf0a5f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T1, T2&gt;::type, 1, Eigen::Dynamic&gt; stan::math::append_col </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of stacking a row vector on top of the an scalar, with the result being a row vector. </p>
+<p>This function applies to (row vector, scalar) and returns a row vector.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of the row vector. </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of the scalar </td></tr>
+    <tr><td class="paramname">R</td><td>Row specification of the row vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>row vector. </td></tr>
+    <tr><td class="paramname">B</td><td>scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of stacking the row vector on top of the scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__col_8hpp_source.html#l00218">218</a> of file <a class="el" href="append__col_8hpp_source.html">append_col.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aed867c5cdbb34fe1c10ad212665c8611"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T1, T2&gt;::type, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::append_row </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of stacking the rows of the first argument matrix on top of the second argument matrix. </p>
+<p>The inputs can be (matrix, matrix), (matrix, row_vector), (row_vector, matrix), or (row_vector, row_vector), and the output is always a matrix.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of first matrix. </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of second matrix. </td></tr>
+    <tr><td class="paramname">R1</td><td>Row specification of first matrix. </td></tr>
+    <tr><td class="paramname">C1</td><td>Column specification of first matrix. </td></tr>
+    <tr><td class="paramname">R2</td><td>Row specification of second matrix. </td></tr>
+    <tr><td class="paramname">C2</td><td>Column specification of second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>First matrix. </td></tr>
+    <tr><td class="paramname">B</td><td>Second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of stacking first matrix on top of second. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__row_8hpp_source.html#l00037">37</a> of file <a class="el" href="append__row_8hpp_source.html">append_row.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad3ac4765524854d6b14af8def58431dc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int R2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T1, T2&gt;::type, Eigen::Dynamic, 1&gt; stan::math::append_row </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of stacking the first vector on top of the second vector, with the result being a vector. </p>
+<p>This function applies to (vector, vector) and returns a vector.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of first vector. </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of second vector. </td></tr>
+    <tr><td class="paramname">R1</td><td>Row specification of first vector. </td></tr>
+    <tr><td class="paramname">R2</td><td>Row specification of second vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>First vector. </td></tr>
+    <tr><td class="paramname">B</td><td>Second vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of stacking first vector on top of the second vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__row_8hpp_source.html#l00080">80</a> of file <a class="el" href="append__row_8hpp_source.html">append_row.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae8edbdc61c53db90c4dd6039221f5a71"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::append_row </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of stacking the rows of the first argument matrix on top of the second argument matrix. </p>
+<p>This is an overload for the case when the scalar types of the two input matrix are the same.</p>
+<p>The inputs can be (matrix, matrix), (matrix, row_vector), (row_vector, matrix), or (row_vector, row_vector), and the output is always a matrix.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type of both matrices. </td></tr>
+    <tr><td class="paramname">R1</td><td>Row specification of first matrix. </td></tr>
+    <tr><td class="paramname">C1</td><td>Column specification of first matrix. </td></tr>
+    <tr><td class="paramname">R2</td><td>Row specification of second matrix. </td></tr>
+    <tr><td class="paramname">C2</td><td>Column specification of second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>First matrix. </td></tr>
+    <tr><td class="paramname">B</td><td>Second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of stacking first matrix on top of second. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__row_8hpp_source.html#l00121">121</a> of file <a class="el" href="append__row_8hpp_source.html">append_row.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a66107dc00c528f6d692bbde30d6af90c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int R2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::append_row </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R1, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R2, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of stacking the first vector on top of the second vector, with the result being a vector. </p>
+<p>This is an overloaded template function for the case where both inputs have the same scalar type.</p>
+<p>This function applies to (vector, vector) and returns a vector.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type of both vectors. </td></tr>
+    <tr><td class="paramname">R1</td><td>Row specification of first vector. </td></tr>
+    <tr><td class="paramname">R2</td><td>Row specification of second vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>First vector. </td></tr>
+    <tr><td class="paramname">B</td><td>Second vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of stacking first vector on top of the second vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__row_8hpp_source.html#l00155">155</a> of file <a class="el" href="append__row_8hpp_source.html">append_row.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af49e61d2cb5135e0d653f3d9d8d35725"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T1, T2&gt;::type, Eigen::Dynamic, 1&gt; stan::math::append_row </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of stacking an scalar on top of the a vector, with the result being a vector. </p>
+<p>This function applies to (scalar, vector) and returns a vector.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of the scalar </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of the vector. </td></tr>
+    <tr><td class="paramname">R</td><td>Row specification of the vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>scalar. </td></tr>
+    <tr><td class="paramname">B</td><td>vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of stacking the scalar on top of the vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__row_8hpp_source.html#l00182">182</a> of file <a class="el" href="append__row_8hpp_source.html">append_row.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7fa479d37a14b42091384f9876d83b87"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T1, T2&gt;::type, Eigen::Dynamic, 1&gt; stan::math::append_row </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of stacking a vector on top of the an scalar, with the result being a vector. </p>
+<p>This function applies to (vector, scalar) and returns a vector.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of the vector. </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of the scalar </td></tr>
+    <tr><td class="paramname">R</td><td>Row specification of the vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>vector. </td></tr>
+    <tr><td class="paramname">B</td><td>scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of stacking the vector on top of the scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="append__row_8hpp_source.html#l00211">211</a> of file <a class="el" href="append__row_8hpp_source.html">append_row.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3ec93b560b654740be65de81d6f348cc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::as_bool </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return 1 if the argument is unequal to zero and 0 otherwise. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1 if argument is equal to zero (or NaN) and 0 otherwise. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2as__bool_8hpp_source.html#l00014">14</a> of file <a class="el" href="prim_2scal_2fun_2as__bool_8hpp_source.html">as_bool.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab7ad9c5e9f0b2f99b96133ad7a158f64"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::as_bool </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return 1 if the argument is unequal to zero and 0 otherwise. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1 if argument is equal to zero (or NaN) and 0 otherwise. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2as__bool_8hpp_source.html#l00015">15</a> of file <a class="el" href="rev_2scal_2fun_2as__bool_8hpp_source.html">as_bool.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1ab75d0165599717cfd1e90f7edcf250"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::asin </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2asin_8hpp_source.html#l00012">12</a> of file <a class="el" href="fwd_2scal_2fun_2asin_8hpp_source.html">asin.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab710bf940838cc452c426597f55f74dc"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::asin </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the principal value of the arc sine, in radians, of the specified variable (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \arcsin x = \frac{1}{\sqrt{1 - x^2}}$" src="form_263.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{asin}(x) = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < -1\\ \arcsin(x) &amp; \mbox{if } -1\leq x\leq 1 \\ \textrm{NaN} &amp; \mbox{if } x > 1\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_264.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{asin}(x)}{\partial x} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < -1\\ \frac{\partial\, \arcsin(x)}{\partial x} &amp; \mbox{if } -1\leq x\leq 1 \\ \textrm{NaN} &amp; \mbox{if } x < -1\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_265.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \arcsin(x)}{\partial x} = \frac{1}{\sqrt{1-x^2}} \]" src="form_266.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable in range [-1, 1]. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Arc sine of variable, in radians. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2asin_8hpp_source.html#l00058">58</a> of file <a class="el" href="rev_2scal_2fun_2asin_8hpp_source.html">asin.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a68af8aec6bd04b4d40e5bce59f82b97c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::asinh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2asinh_8hpp_source.html#l00013">13</a> of file <a class="el" href="fwd_2scal_2fun_2asinh_8hpp_source.html">asinh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af6d7b01cd76067a0fa8d424b4e81a4fc"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::asinh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The inverse hyperbolic sine function for variables (C99). </p>
+<p>For non-variable function, see <a class="el" href="namespacestan_1_1math.html#a68af8aec6bd04b4d40e5bce59f82b97c">asinh()</a>.</p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \mbox{asinh}(x) = \frac{x}{x^2 + 1}$" src="form_267.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{asinh}(x) = \begin{cases} \sinh^{-1}(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_268.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{asinh}(x)}{\partial x} = \begin{cases} \frac{\partial\, \sinh^{-1}(x)}{\partial x} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_269.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \sinh^{-1}(x)=\ln\left(x+\sqrt{x^2+1}\right) \]" src="form_270.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \sinh^{-1}(x)}{\partial x} = \frac{1}{\sqrt{x^2+1}} \]" src="form_271.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>The variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Inverse hyperbolic sine of the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2asinh_8hpp_source.html#l00067">67</a> of file <a class="el" href="rev_2scal_2fun_2asinh_8hpp_source.html">asinh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5f394c15ea3eb97743382631f91801cf"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename LHS , typename RHS &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::assign </td>
+          <td>(</td>
+          <td class="paramtype">LHS &amp;&#160;</td>
+          <td class="paramname"><em>lhs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const RHS &amp;&#160;</td>
+          <td class="paramname"><em>rhs</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Copy the right-hand side's value to the left-hand side variable. </p>
+<p>The <code><a class="el" href="namespacestan_1_1math.html#a5f394c15ea3eb97743382631f91801cf" title="Copy the right-hand side&#39;s value to the left-hand side variable. ">assign()</a></code> function is overloaded. This instance will match arguments where the right-hand side is assignable to the left and they are not both <code>std::vector</code> or <code>Eigen::Matrix</code> types.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">LHS</td><td>Type of left-hand side. </td></tr>
+    <tr><td class="paramname">RHS</td><td>Type of right-hand side. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">lhs</td><td>Left-hand side. </td></tr>
+    <tr><td class="paramname">rhs</td><td>Right-hand side. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="assign_8hpp_source.html#l00051">51</a> of file <a class="el" href="assign_8hpp_source.html">assign.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5371f0f914e9b79a0700577e5557c0b7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename LHS , typename RHS , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::assign </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; LHS, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; RHS, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Copy the right-hand side's value to the left-hand side variable. </p>
+<p>The <code><a class="el" href="namespacestan_1_1math.html#a5f394c15ea3eb97743382631f91801cf" title="Copy the right-hand side&#39;s value to the left-hand side variable. ">assign()</a></code> function is overloaded. This instance will be called for arguments that are both <code>Eigen::Matrix</code> types, but whose shapes are not compatible. The shapes are specified in the row and column template parameters.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">LHS</td><td>Type of left-hand side matrix elements. </td></tr>
+    <tr><td class="paramname">RHS</td><td>Type of right-hand side matrix elements. </td></tr>
+    <tr><td class="paramname">R1</td><td>Row shape of left-hand side matrix. </td></tr>
+    <tr><td class="paramname">C1</td><td>Column shape of left-hand side matrix. </td></tr>
+    <tr><td class="paramname">R2</td><td>Row shape of right-hand side matrix. </td></tr>
+    <tr><td class="paramname">C2</td><td>Column shape of right-hand side matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Left-hand side matrix. </td></tr>
+    <tr><td class="paramname">y</td><td>Right-hand side matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="assign_8hpp_source.html#l00077">77</a> of file <a class="el" href="assign_8hpp_source.html">assign.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0a80c719463c4e3caa03df731e2c2cb9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename LHS , typename RHS , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::assign </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; LHS, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; RHS, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Copy the right-hand side's value to the left-hand side variable. </p>
+<p>The <code><a class="el" href="namespacestan_1_1math.html#a5f394c15ea3eb97743382631f91801cf" title="Copy the right-hand side&#39;s value to the left-hand side variable. ">assign()</a></code> function is overloaded. This instance will be called for arguments that are both <code>Eigen::Matrix</code> types and whose shapes match. The shapes are specified in the row and column template parameters.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">LHS</td><td>Type of left-hand side matrix elements. </td></tr>
+    <tr><td class="paramname">RHS</td><td>Type of right-hand side matrix elements. </td></tr>
+    <tr><td class="paramname">R</td><td>Row shape of both matrices. </td></tr>
+    <tr><td class="paramname">C</td><td>Column shape of both mtarices. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Left-hand side matrix. </td></tr>
+    <tr><td class="paramname">y</td><td>Right-hand side matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td>if sizes do not match. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="assign_8hpp_source.html#l00113">113</a> of file <a class="el" href="assign_8hpp_source.html">assign.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa4af3a90ad3b5ec1507dfc1823fdb8da"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename LHS , typename RHS , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::assign </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Block&lt; LHS &gt;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; RHS, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Copy the right-hand side's value to the left-hand side variable. </p>
+<p>The <code><a class="el" href="namespacestan_1_1math.html#a5f394c15ea3eb97743382631f91801cf" title="Copy the right-hand side&#39;s value to the left-hand side variable. ">assign()</a></code> function is overloaded. This instance will be called for arguments that are both <code>Eigen::Matrix</code> types and whose shapes match. The shape of the right-hand side matrix is specified in the row and column shape template parameters.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">LHS</td><td>Type of matrix block elements. </td></tr>
+    <tr><td class="paramname">RHS</td><td>Type of right-hand side matrix elements. </td></tr>
+    <tr><td class="paramname">R</td><td>Row shape for right-hand side matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column shape for right-hand side matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Left-hand side block view of matrix. </td></tr>
+    <tr><td class="paramname">y</td><td>Right-hand side matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td>if sizes do not match. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="assign_8hpp_source.html#l00142">142</a> of file <a class="el" href="assign_8hpp_source.html">assign.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2c6dec98c71fd478c2ee16bc274b464d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename LHS , typename RHS &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::assign </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; LHS &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; RHS &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Copy the right-hand side's value to the left-hand side variable. </p>
+<p>The <code><a class="el" href="namespacestan_1_1math.html#a5f394c15ea3eb97743382631f91801cf" title="Copy the right-hand side&#39;s value to the left-hand side variable. ">assign()</a></code> function is overloaded. This instance will be called for arguments that are both <code>std::vector</code>, and will call <code><a class="el" href="namespacestan_1_1math.html#a5f394c15ea3eb97743382631f91801cf" title="Copy the right-hand side&#39;s value to the left-hand side variable. ">assign()</a></code> element-by element.</p>
+<p>For example, a <code>std::vector&lt;int&gt;</code> can be assigned to a <code>std::vector&lt;double&gt;</code> using this function.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">LHS</td><td>Type of left-hand side vector elements. </td></tr>
+    <tr><td class="paramname">RHS</td><td>Type of right-hand side vector elements. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Left-hand side vector. </td></tr>
+    <tr><td class="paramname">y</td><td>Right-hand side vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td>if sizes do not match. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="assign_8hpp_source.html#l00177">177</a> of file <a class="el" href="assign_8hpp_source.html">assign.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6f0398656b862b1b2eb80145f4877b11"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::atan </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2atan_8hpp_source.html#l00012">12</a> of file <a class="el" href="fwd_2scal_2fun_2atan_8hpp_source.html">atan.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a85cb80cff5115679c25d7347ffa89c81"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::atan </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the principal value of the arc tangent, in radians, of the specified variable (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \arctan x = \frac{1}{1 + x^2}$" src="form_272.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{atan}(x) = \begin{cases} \arctan(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_273.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{atan}(x)}{\partial x} = \begin{cases} \frac{\partial\, \arctan(x)}{\partial x} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_274.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \arctan(x)}{\partial x} = \frac{1}{x^2+1} \]" src="form_275.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable in range [-1, 1]. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Arc tangent of variable, in radians. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2atan_8hpp_source.html#l00055">55</a> of file <a class="el" href="rev_2scal_2fun_2atan_8hpp_source.html">atan.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0c4868ee5c5ab673ee54e5dce3be37f1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::atan2 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2atan2_8hpp_source.html#l00012">12</a> of file <a class="el" href="fwd_2scal_2fun_2atan2_8hpp_source.html">atan2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aee48dfb63f75612a566b876f59d4a8df"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::atan2 </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2atan2_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2scal_2fun_2atan2_8hpp_source.html">atan2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a28a4864b96b98584311eea08a6ff609e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::atan2 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2atan2_8hpp_source.html#l00029">29</a> of file <a class="el" href="fwd_2scal_2fun_2atan2_8hpp_source.html">atan2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a32fe21eb929346e553266ceda0a97f23"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::atan2 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the principal value of the arc tangent, in radians, of the first variable divided by the second (cmath). </p>
+<p>The partial derivatives are defined by</p>
+<p><img class="formulaInl" alt="$ \frac{\partial}{\partial x} \arctan \frac{x}{y} = \frac{y}{x^2 + y^2}$" src="form_276.png"/>, and</p>
+<p><img class="formulaInl" alt="$ \frac{\partial}{\partial y} \arctan \frac{x}{y} = \frac{-x}{x^2 + y^2}$" src="form_277.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Numerator variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Denominator variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The arc tangent of the fraction, in radians. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2atan2_8hpp_source.html#l00062">62</a> of file <a class="el" href="rev_2scal_2fun_2atan2_8hpp_source.html">atan2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acf0d4eeedff1e94221e2b719d0227e25"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::atan2 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the principal value of the arc tangent, in radians, of the first variable divided by the second scalar (cmath). </p>
+<p>The derivative with respect to the variable is</p>
+<p><img class="formulaInl" alt="$ \frac{d}{d x} \arctan \frac{x}{c} = \frac{c}{x^2 + c^2}$" src="form_278.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Numerator variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Denominator scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The arc tangent of the fraction, in radians. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2atan2_8hpp_source.html#l00078">78</a> of file <a class="el" href="rev_2scal_2fun_2atan2_8hpp_source.html">atan2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a02a3681701397c99fd57d8816869b92f"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::atan2 </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the principal value of the arc tangent, in radians, of the first scalar divided by the second variable (cmath). </p>
+<p>The derivative with respect to the variable is</p>
+<p><img class="formulaInl" alt="$ \frac{\partial}{\partial y} \arctan \frac{c}{y} = \frac{-c}{c^2 + y^2}$" src="form_279.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{atan2}(x, y) = \begin{cases} \arctan\left(\frac{x}{y}\right) &amp; \mbox{if } -\infty\leq x \leq \infty, -\infty\leq y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_280.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{atan2}(x, y)}{\partial x} = \begin{cases} \frac{y}{x^2+y^2} &amp; \mbox{if } -\infty\leq x\leq \infty, -\infty\leq y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_281.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{atan2}(x, y)}{\partial y} = \begin{cases} -\frac{x}{x^2+y^2} &amp; \mbox{if } -\infty\leq x\leq \infty, -\infty\leq y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_282.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Numerator scalar. </td></tr>
+    <tr><td class="paramname">b</td><td>Denominator variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The arc tangent of the fraction, in radians. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2atan2_8hpp_source.html#l00119">119</a> of file <a class="el" href="rev_2scal_2fun_2atan2_8hpp_source.html">atan2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9e31606b2cbc69573ec0d7693c8b2a2c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::atanh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2atanh_8hpp_source.html#l00013">13</a> of file <a class="el" href="fwd_2scal_2fun_2atanh_8hpp_source.html">atanh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9cbf81b5222fb11c01b539fab0434bdd"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::atanh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The inverse hyperbolic tangent function for variables (C99). </p>
+<p>For non-variable function, see <a class="el" href="namespacestan_1_1math.html#a9e31606b2cbc69573ec0d7693c8b2a2c">atanh()</a>.</p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \mbox{atanh}(x) = \frac{1}{1 - x^2}$" src="form_283.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{atanh}(x) = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < -1\\ \tanh^{-1}(x) &amp; \mbox{if } -1\leq x \leq 1 \\ \textrm{NaN} &amp; \mbox{if } x > 1\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_284.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{atanh}(x)}{\partial x} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < -1\\ \frac{\partial\, \tanh^{-1}(x)}{\partial x} &amp; \mbox{if } -1\leq x\leq 1 \\ \textrm{NaN} &amp; \mbox{if } x > 1\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_285.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \tanh^{-1}(x)=\frac{1}{2}\ln\left(\frac{1+x}{1-x}\right) \]" src="form_286.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \tanh^{-1}(x)}{\partial x} = \frac{1}{1-x^2} \]" src="form_287.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>The variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Inverse hyperbolic tangent of the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2atanh_8hpp_source.html#l00070">70</a> of file <a class="el" href="rev_2scal_2fun_2atanh_8hpp_source.html">atanh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd7c65ea100e48abc72f3c1e96fcdbe9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::autocorrelation </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>ac</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::FFT&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>fft</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Write autocorrelation estimates for every lag for the specified input sequence into the specified result using the specified FFT engine. </p>
+<p>The return vector be resized to the same length as the input sequence with lags given by array index.</p>
+<p>The implementation involves a fast Fourier transform, followed by a normalization, followed by an inverse transform.</p>
+<p>An FFT engine can be created for reuse for type double with:</p>
+<pre>
+    Eigen::FFT&lt;double&gt; fft;
+</pre><dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Input sequence. </td></tr>
+    <tr><td class="paramname">ac</td><td>Autocorrelations. </td></tr>
+    <tr><td class="paramname">fft</td><td>FFT engine instance. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="autocorrelation_8hpp_source.html#l00054">54</a> of file <a class="el" href="autocorrelation_8hpp_source.html">autocorrelation.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a999404b2520dcd466c62c6ba3ca61f89"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::autocorrelation </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>ac</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Write autocorrelation estimates for every lag for the specified input sequence into the specified result. </p>
+<p>The return vector be resized to the same length as the input sequence with lags given by array index.</p>
+<p>The implementation involves a fast Fourier transform, followed by a normalization, followed by an inverse transform.</p>
+<p>This method is just a light wrapper around the three-argument autocorrelation function</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Input sequence. </td></tr>
+    <tr><td class="paramname">ac</td><td>Autocorrelations. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="autocorrelation_8hpp_source.html#l00123">123</a> of file <a class="el" href="autocorrelation_8hpp_source.html">autocorrelation.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aab515e37311a3070dbc66e69d31359a5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::autocovariance </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>acov</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::FFT&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>fft</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Write autocovariance estimates for every lag for the specified input sequence into the specified result using the specified FFT engine. </p>
+<p>The return vector be resized to the same length as the input sequence with lags given by array index.</p>
+<p>The implementation involves a fast Fourier transform, followed by a normalization, followed by an inverse transform.</p>
+<p>An FFT engine can be created for reuse for type double with:</p>
+<pre>
+    Eigen::FFT&lt;double&gt; fft;
+</pre><dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Input sequence. </td></tr>
+    <tr><td class="paramname">acov</td><td>Autocovariance. </td></tr>
+    <tr><td class="paramname">fft</td><td>FFT engine instance. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="autocovariance_8hpp_source.html#l00034">34</a> of file <a class="el" href="autocovariance_8hpp_source.html">autocovariance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acdfe56505f9cbe96a18fc00f76fe79fd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::autocovariance </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>acov</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Write autocovariance estimates for every lag for the specified input sequence into the specified result. </p>
+<p>The return vector be resized to the same length as the input sequence with lags given by array index.</p>
+<p>The implementation involves a fast Fourier transform, followed by a normalization, followed by an inverse transform.</p>
+<p>This method is just a light wrapper around the three-argument autocovariance function</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Input sequence. </td></tr>
+    <tr><td class="paramname">acov</td><td>Autocovariances. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="autocovariance_8hpp_source.html#l00062">62</a> of file <a class="el" href="autocovariance_8hpp_source.html">autocovariance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9d8811804a3bb9a9cd943422ce3938db"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::bernoulli_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="bernoulli__ccdf__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="bernoulli__ccdf__log_8hpp_source.html">bernoulli_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0b80aeaa1cc10d315d915aba2ddc6180"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::bernoulli_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="bernoulli__cdf_8hpp_source.html#l00026">26</a> of file <a class="el" href="bernoulli__cdf_8hpp_source.html">bernoulli_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac569e9e067f4d61280974e9a54ac6476"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::bernoulli_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="bernoulli__cdf__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="bernoulli__cdf__log_8hpp_source.html">bernoulli_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3e360bb277db7a3318c1c368dbccdda8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_n , typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::bernoulli_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="bernoulli__log_8hpp_source.html#l00028">28</a> of file <a class="el" href="bernoulli__log_8hpp_source.html">bernoulli_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a075f08b1d99b150b64d851139be35894"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_prob &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::bernoulli_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="bernoulli__log_8hpp_source.html#l00122">122</a> of file <a class="el" href="bernoulli__log_8hpp_source.html">bernoulli_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa9048a0a4bd452c7e797cb5a496b0b97"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_n , typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::bernoulli_logit_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="bernoulli__logit__log_8hpp_source.html#l00028">28</a> of file <a class="el" href="bernoulli__logit__log_8hpp_source.html">bernoulli_logit_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a193781437c0aa1a48fe48b24d9ae8130"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_prob &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::bernoulli_logit_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="bernoulli__logit__log_8hpp_source.html#l00106">106</a> of file <a class="el" href="bernoulli__logit__log_8hpp_source.html">bernoulli_logit_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac46d3934578fb7346a900677a3e8c377"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::bernoulli_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="bernoulli__rng_8hpp_source.html#l00022">22</a> of file <a class="el" href="bernoulli__rng_8hpp_source.html">bernoulli_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0f08e25e46df323a2429edc45d1c8954"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::bessel_first_kind </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2bessel__first__kind_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2bessel__first__kind_8hpp_source.html">bessel_first_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a367822396d06842610b32ec1d1010944"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::bessel_first_kind </td>
+          <td>(</td>
+          <td class="paramtype">const int &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2bessel__first__kind_8hpp_source.html#l00027">27</a> of file <a class="el" href="rev_2scal_2fun_2bessel__first__kind_8hpp_source.html">bessel_first_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aebfb3835848bd8550192cd5e090d3b5a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T2 stan::math::bessel_first_kind </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{bessel\_first\_kind}(v, x) = \begin{cases} J_v(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{error} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_26.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{bessel\_first\_kind}(v, x)}{\partial x} = \begin{cases} \frac{\partial\, J_v(x)}{\partial x} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{error} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_27.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ J_v(x)=\left(\frac{1}{2}x\right)^v \sum_{k=0}^\infty \frac{\left(-\frac{1}{4}x^2\right)^k}{k!\, \Gamma(v+k+1)} \]" src="form_28.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, J_v(x)}{\partial x} = \frac{v}{x}J_v(x)-J_{v+1}(x) \]" src="form_29.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2bessel__first__kind_8hpp_source.html#l00040">40</a> of file <a class="el" href="prim_2scal_2fun_2bessel__first__kind_8hpp_source.html">bessel_first_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab0b227eac2dd4cbc55462ecebe940294"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::bessel_second_kind </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2bessel__second__kind_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2bessel__second__kind_8hpp_source.html">bessel_second_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7bff905107813b205e8cf81ace301ef9"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::bessel_second_kind </td>
+          <td>(</td>
+          <td class="paramtype">const int &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2bessel__second__kind_8hpp_source.html#l00027">27</a> of file <a class="el" href="rev_2scal_2fun_2bessel__second__kind_8hpp_source.html">bessel_second_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a645ce13c6454913ec39be807751604dc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T2 stan::math::bessel_second_kind </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{bessel\_second\_kind}(v, x) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0 \\ Y_v(x) &amp; \mbox{if } x > 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_30.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{bessel\_second\_kind}(v, x)}{\partial x} = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0 \\ \frac{\partial\, Y_v(x)}{\partial x} &amp; \mbox{if } x > 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_31.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ Y_v(x)=\frac{J_v(x)\cos(v\pi)-J_{-v}(x)}{\sin(v\pi)} \]" src="form_32.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, Y_v(x)}{\partial x} = \frac{v}{x}Y_v(x)-Y_{v+1}(x) \]" src="form_33.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2bessel__second__kind_8hpp_source.html#l00040">40</a> of file <a class="el" href="prim_2scal_2fun_2bessel__second__kind_8hpp_source.html">bessel_second_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab380fecf1c6c99b602f212cbccc28a83"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_N , typename T_size1 , typename T_size2 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_size1, T_size2&gt;::type stan::math::beta_binomial_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_size1 &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_size2 &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="beta__binomial__ccdf__log_8hpp_source.html#l00030">30</a> of file <a class="el" href="beta__binomial__ccdf__log_8hpp_source.html">beta_binomial_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6abc35510e01a52b5138a19bfedb2a3e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_N , typename T_size1 , typename T_size2 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_size1, T_size2&gt;::type stan::math::beta_binomial_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_size1 &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_size2 &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="beta__binomial__cdf_8hpp_source.html#l00031">31</a> of file <a class="el" href="beta__binomial__cdf_8hpp_source.html">beta_binomial_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adf2c63ba04c87c46bcb0db999d955e9b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_N , typename T_size1 , typename T_size2 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_size1, T_size2&gt;::type stan::math::beta_binomial_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_size1 &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_size2 &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="beta__binomial__cdf__log_8hpp_source.html#l00030">30</a> of file <a class="el" href="beta__binomial__cdf__log_8hpp_source.html">beta_binomial_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5c2462b112bf6512c4db7c6abea6478c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_n , typename T_N , typename T_size1 , typename T_size2 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_size1, T_size2&gt;::type stan::math::beta_binomial_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_size1 &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_size2 &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="beta__binomial__log_8hpp_source.html#l00032">32</a> of file <a class="el" href="beta__binomial__log_8hpp_source.html">beta_binomial_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a48a71d6f54236310fba1a94b445272f3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_N , typename T_size1 , typename T_size2 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_size1, T_size2&gt;::type stan::math::beta_binomial_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_size1 &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_size2 &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="beta__binomial__log_8hpp_source.html#l00177">177</a> of file <a class="el" href="beta__binomial__log_8hpp_source.html">beta_binomial_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac0443ac7dbd959b40b1a958767857f5e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::beta_binomial_rng </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>beta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="beta__binomial__rng_8hpp_source.html#l00025">25</a> of file <a class="el" href="beta__binomial__rng_8hpp_source.html">beta_binomial_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a625d31cf8da1c8cd2ea99af113ed6fe6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale_succ , typename T_scale_fail &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale_succ, T_scale_fail&gt;::type stan::math::beta_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale_succ &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale_fail &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="beta__ccdf__log_8hpp_source.html#l00036">36</a> of file <a class="el" href="beta__ccdf__log_8hpp_source.html">beta_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a84beaaff122d602406a515a9dd97bb90"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale_succ , typename T_scale_fail &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale_succ, T_scale_fail&gt;::type stan::math::beta_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale_succ &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale_fail &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculates the beta cumulative distribution function for the given variate and scale variables. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variate. </td></tr>
+    <tr><td class="paramname">alpha</td><td>Prior sample size. </td></tr>
+    <tr><td class="paramname">beta</td><td>Prior sample size. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The beta cdf evaluated at the specified arguments. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of y. </td></tr>
+    <tr><td class="paramname">T_scale_succ</td><td>Type of alpha. </td></tr>
+    <tr><td class="paramname">T_scale_fail</td><td>Type of beta. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="beta__cdf_8hpp_source.html#l00049">49</a> of file <a class="el" href="beta__cdf_8hpp_source.html">beta_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afa87400b4ecd4bba0d10158cad4f3a8b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale_succ , typename T_scale_fail &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale_succ, T_scale_fail&gt;::type stan::math::beta_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale_succ &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale_fail &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="beta__cdf__log_8hpp_source.html#l00035">35</a> of file <a class="el" href="beta__cdf__log_8hpp_source.html">beta_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0246a55c1c14d2c7ec35a0070af63299"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_scale_succ , typename T_scale_fail &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale_succ, T_scale_fail&gt;::type stan::math::beta_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale_succ &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale_fail &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of the beta density for the specified scalar(s) given the specified sample size(s). </p>
+<p>y, alpha, or beta can each either be scalar or a vector. Any vector inputs must be the same length.</p>
+<p>The result log probability is defined to be the sum of the log probabilities for each observation/alpha/beta triple.</p>
+<p>Prior sample sizes, alpha and beta, must be greater than 0.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>(Sequence of) scalar(s). </td></tr>
+    <tr><td class="paramname">alpha</td><td>(Sequence of) prior sample size(s). </td></tr>
+    <tr><td class="paramname">beta</td><td>(Sequence of) prior sample size(s). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the product of densities. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar outcome. </td></tr>
+    <tr><td class="paramname">T_scale_succ</td><td>Type of prior scale for successes. </td></tr>
+    <tr><td class="paramname">T_scale_fail</td><td>Type of prior scale for failures. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="beta__log_8hpp_source.html#l00054">54</a> of file <a class="el" href="beta__log_8hpp_source.html">beta_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7e5818c82697944b91b483674b14ad22"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale_succ , typename T_scale_fail &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale_succ, T_scale_fail&gt;::type stan::math::beta_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale_succ &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale_fail &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="beta__log_8hpp_source.html#l00211">211</a> of file <a class="el" href="beta__log_8hpp_source.html">beta_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7fa2015614535f45c2cb6d5f544643d0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::beta_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>beta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="beta__rng_8hpp_source.html#l00029">29</a> of file <a class="el" href="beta__rng_8hpp_source.html">beta_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae0d069b5730083b0203812d63c6f62f3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::binary_log_loss </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y_hat</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2binary__log__loss_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2binary__log__loss_8hpp_source.html">binary_log_loss.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="add2a043f562537b8cc57bb35780ac5b5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::binary_log_loss </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>y_hat</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the log loss function for binary classification with specified reference and response values. </p>
+<p>The log loss function for prediction <img class="formulaInl" alt="$\hat{y} \in [0, 1]$" src="form_34.png"/> given outcome <img class="formulaInl" alt="$y \in \{ 0, 1 \}$" src="form_35.png"/> is</p>
+<p><img class="formulaInl" alt="$\mbox{logloss}(1, \hat{y}) = -\log \hat{y} $" src="form_36.png"/>, and</p>
+<p><img class="formulaInl" alt="$\mbox{logloss}(0, \hat{y}) = -\log (1 - \hat{y}) $" src="form_37.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Reference value in { 0 , 1 }. </td></tr>
+    <tr><td class="paramname">y_hat</td><td>Response value in [0, 1]. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Log loss for response given reference value. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2binary__log__loss_8hpp_source.html#l00026">26</a> of file <a class="el" href="prim_2scal_2fun_2binary__log__loss_8hpp_source.html">binary_log_loss.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a87b93caccb44639dea5c47f78fe6be28"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::binary_log_loss </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>y_hat</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The log loss function for variables (stan). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#ae0d069b5730083b0203812d63c6f62f3">stan::math::binary_log_loss()</a> for the double-based version.</p>
+<p>The derivative with respect to the variable <img class="formulaInl" alt="$\hat{y}$" src="form_288.png"/> is</p>
+<p><img class="formulaInl" alt="$\frac{d}{d\hat{y}} \mbox{logloss}(1, \hat{y}) = - \frac{1}{\hat{y}}$" src="form_289.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{d}{d\hat{y}} \mbox{logloss}(0, \hat{y}) = \frac{1}{1 - \hat{y}}$" src="form_290.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{binary\_log\_loss}(y, \hat{y}) = \begin{cases} y \log \hat{y} + (1 - y) \log (1 - \hat{y}) &amp; \mbox{if } 0\leq \hat{y}\leq 1, y\in\{ 0, 1 \}\\[6pt] \textrm{NaN} &amp; \mbox{if } \hat{y} = \textrm{NaN} \end{cases} \]" src="form_291.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{binary\_log\_loss}(y, \hat{y})}{\partial \hat{y}} = \begin{cases} \frac{y}{\hat{y}}-\frac{1-y}{1-\hat{y}} &amp; \mbox{if } 0\leq \hat{y}\leq 1, y\in\{ 0, 1 \}\\[6pt] \textrm{NaN} &amp; \mbox{if } \hat{y} = \textrm{NaN} \end{cases} \]" src="form_292.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Reference value. </td></tr>
+    <tr><td class="paramname">y_hat</td><td>Response variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Log loss of response versus reference value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2binary__log__loss_8hpp_source.html#l00068">68</a> of file <a class="el" href="rev_2scal_2fun_2binary__log__loss_8hpp_source.html">binary_log_loss.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a92586706a7afc2c968e0c11a9a021f8a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_N , typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::binomial_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="binomial__ccdf__log_8hpp_source.html#l00033">33</a> of file <a class="el" href="binomial__ccdf__log_8hpp_source.html">binomial_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a25ca53e4f20460de16af84337acba3f0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_N , typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::binomial_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="binomial__cdf_8hpp_source.html#l00034">34</a> of file <a class="el" href="binomial__cdf_8hpp_source.html">binomial_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a96b0617f8ad60887c84b0cd91ebe202e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_N , typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::binomial_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="binomial__cdf__log_8hpp_source.html#l00033">33</a> of file <a class="el" href="binomial__cdf__log_8hpp_source.html">binomial_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab3ae920ef2089bb1686eb51c3dc153b4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::binomial_coefficient_log </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2binomial__coefficient__log_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">binomial_coefficient_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a113b2443c22c0859cc797b7c1bdea59f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::binomial_coefficient_log </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2binomial__coefficient__log_8hpp_source.html#l00046">46</a> of file <a class="el" href="fwd_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">binomial_coefficient_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a27dad23d38c6d5e74c65e7571c70272e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_N , typename T_n &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_N, T_n&gt;::type stan::math::binomial_coefficient_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_N&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_n&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the log of the binomial coefficient for the specified arguments. </p>
+<p>The binomial coefficient, <img class="formulaInl" alt="${N \choose n}$" src="form_38.png"/>, read "N choose n", is defined for <img class="formulaInl" alt="$0 \leq n \leq N$" src="form_39.png"/> by</p>
+<p><img class="formulaInl" alt="${N \choose n} = \frac{N!}{n! (N-n)!}$" src="form_40.png"/>.</p>
+<p>This function uses Gamma functions to define the log and generalize the arguments to continuous N and n.</p>
+<p><img class="formulaInl" alt="$ \log {N \choose n} = \log \ \Gamma(N+1) - \log \Gamma(n+1) - \log \Gamma(N-n+1)$" src="form_41.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{binomial\_coefficient\_log}(x, y) = \begin{cases} \textrm{error} &amp; \mbox{if } y > x \textrm{ or } y < 0\\ \ln\Gamma(x+1) &amp; \mbox{if } 0\leq y \leq x \\ \quad -\ln\Gamma(y+1)&amp; \\ \quad -\ln\Gamma(x-y+1)&amp; \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_42.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{binomial\_coefficient\_log}(x, y)}{\partial x} = \begin{cases} \textrm{error} &amp; \mbox{if } y > x \textrm{ or } y < 0\\ \Psi(x+1) &amp; \mbox{if } 0\leq y \leq x \\ \quad -\Psi(x-y+1)&amp; \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_43.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{binomial\_coefficient\_log}(x, y)}{\partial y} = \begin{cases} \textrm{error} &amp; \mbox{if } y > x \textrm{ or } y < 0\\ -\Psi(y+1) &amp; \mbox{if } 0\leq y \leq x \\ \quad +\Psi(x-y+1)&amp; \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_44.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">N</td><td>total number of objects. </td></tr>
+    <tr><td class="paramname">n</td><td>number of objects chosen. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>log (N choose n). </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html#l00062">62</a> of file <a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">binomial_coefficient_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6d6816ab0a50a160820063ffe087a826"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::binomial_coefficient_log </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2binomial__coefficient__log_8hpp_source.html#l00070">70</a> of file <a class="el" href="fwd_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">binomial_coefficient_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9de035dd17c118b3144a9ed9c867378f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_n , typename T_N , typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::binomial_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="binomial__log_8hpp_source.html#l00038">38</a> of file <a class="el" href="binomial__log_8hpp_source.html">binomial_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8b3409628d97b7ff020f2c0c694d8d40"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_N , typename T_prob &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::binomial_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="binomial__log_8hpp_source.html#l00129">129</a> of file <a class="el" href="binomial__log_8hpp_source.html">binomial_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8f5a9e223a39b11f58fe044dcb2bc7ca"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_n , typename T_N , typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::binomial_logit_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="binomial__logit__log_8hpp_source.html#l00039">39</a> of file <a class="el" href="binomial__logit__log_8hpp_source.html">binomial_logit_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5378254419361dd7a0bfacf139b49401"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_N , typename T_prob &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_prob&gt;::type stan::math::binomial_logit_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_prob &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="binomial__logit__log_8hpp_source.html#l00133">133</a> of file <a class="el" href="binomial__logit__log_8hpp_source.html">binomial_logit_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa41d355d768c2258bf999bc765382f27"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::binomial_rng </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="binomial__rng_8hpp_source.html#l00030">30</a> of file <a class="el" href="binomial__rng_8hpp_source.html">binomial_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a69be3cf865daa6eca4a859f97ffaa8f7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::block </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>j</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>nrows</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>ncols</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a nrows x ncols submatrix starting at (i-1, j-1). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Matrix </td></tr>
+    <tr><td class="paramname">i</td><td>Starting row </td></tr>
+    <tr><td class="paramname">j</td><td>Starting column </td></tr>
+    <tr><td class="paramname">nrows</td><td>Number of rows in block </td></tr>
+    <tr><td class="paramname">ncols</td><td>Number of columns in block </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="block_8hpp_source.html#l00023">23</a> of file <a class="el" href="block_8hpp_source.html">block.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab9b0e3e51b5cc7ab1da287369ff754d7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::calculate_chain </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>val</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="calculate__chain_8hpp_source.html#l00008">8</a> of file <a class="el" href="calculate__chain_8hpp_source.html">calculate_chain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a583ce356e75d8d7be0126bb00c401afa"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob&gt;::type stan::math::categorical_log </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="categorical__log_8hpp_source.html#l00025">25</a> of file <a class="el" href="categorical__log_8hpp_source.html">categorical_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a41e12bdd3e7ba1450f8b44ea5a59b0dd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_prob &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob&gt;::type stan::math::categorical_log </td>
+          <td>(</td>
+          <td class="paramtype">const typename <a class="el" href="structstan_1_1math_1_1index__type.html">math::index_type</a>&lt; Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="categorical__log_8hpp_source.html#l00056">56</a> of file <a class="el" href="categorical__log_8hpp_source.html">categorical_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a089e388c974ca67ecc06e9c67f75067f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob&gt;::type stan::math::categorical_log </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>ns</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="categorical__log_8hpp_source.html#l00068">68</a> of file <a class="el" href="categorical__log_8hpp_source.html">categorical_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aabce8d1a6154b04d2689f604b2e2373b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_prob &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob&gt;::type stan::math::categorical_log </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>ns</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="categorical__log_8hpp_source.html#l00116">116</a> of file <a class="el" href="categorical__log_8hpp_source.html">categorical_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a35594af0b1635f8bc2817ca8a2c767f2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob&gt;::type stan::math::categorical_logit_log </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="categorical__logit__log_8hpp_source.html#l00022">22</a> of file <a class="el" href="categorical__logit__log_8hpp_source.html">categorical_logit_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aea64526bd00e285844c6eb1246ccf431"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_prob &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob&gt;::type stan::math::categorical_logit_log </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="categorical__logit__log_8hpp_source.html#l00045">45</a> of file <a class="el" href="categorical__logit__log_8hpp_source.html">categorical_logit_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac06f8075869ffd32c8a0385e57bc2170"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob&gt;::type stan::math::categorical_logit_log </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>ns</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="categorical__logit__log_8hpp_source.html#l00054">54</a> of file <a class="el" href="categorical__logit__log_8hpp_source.html">categorical_logit_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac35ff747de556a8f351efda0e986a832"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_prob &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob&gt;::type stan::math::categorical_logit_log </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>ns</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="categorical__logit__log_8hpp_source.html#l00089">89</a> of file <a class="el" href="categorical__logit__log_8hpp_source.html">categorical_logit_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1f8b55cdaa59f3fe7718d5b45889cda6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::categorical_rng </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="categorical__rng_8hpp_source.html#l00020">20</a> of file <a class="el" href="categorical__rng_8hpp_source.html">categorical_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa932af729313abe32571d8a3742385ed"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::cauchy_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cauchy__ccdf__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="cauchy__ccdf__log_8hpp_source.html">cauchy_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab7ecad949e8b175b4b60f6f5cb16319b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::cauchy_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculates the cauchy cumulative distribution function for the given variate, location, and scale. </p>
+<p><img class="formulaInl" alt="$\frac{1}{\pi}\arctan\left(\frac{y-\mu}{\sigma}\right) + \frac{1}{2}$" src="form_191.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variate. </td></tr>
+    <tr><td class="paramname">mu</td><td>The location parameter. </td></tr>
+    <tr><td class="paramname">sigma</td><td>The scale parameter.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd></dd></dl>
+
+<p>Definition at line <a class="el" href="cauchy__cdf_8hpp_source.html#l00038">38</a> of file <a class="el" href="cauchy__cdf_8hpp_source.html">cauchy_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a689566206e25e90e590c2655d3b49032"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::cauchy_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cauchy__cdf__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="cauchy__cdf__log_8hpp_source.html">cauchy_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a57b702de583e1883c8abd5b2fbba4b0d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::cauchy_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of the Cauchy density for the specified scalar(s) given the specified location parameter(s) and scale parameter(s). </p>
+<p>y, mu, or sigma can each either be scalar a vector. Any vector inputs must be the same length.</p>
+<p>The result log probability is defined to be the sum of the log probabilities for each observation/mu/sigma triple.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>(Sequence of) scalar(s). </td></tr>
+    <tr><td class="paramname">mu</td><td>(Sequence of) location(s). </td></tr>
+    <tr><td class="paramname">sigma</td><td>(Sequence of) scale(s). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the product of densities. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar outcome. </td></tr>
+    <tr><td class="paramname">T_loc</td><td>Type of location. </td></tr>
+    <tr><td class="paramname">T_scale</td><td>Type of scale. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="cauchy__log_8hpp_source.html#l00045">45</a> of file <a class="el" href="cauchy__log_8hpp_source.html">cauchy_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6ffc7f40b61588318f20c738202fc5fc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::cauchy_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cauchy__log_8hpp_source.html#l00147">147</a> of file <a class="el" href="cauchy__log_8hpp_source.html">cauchy_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab9ddbccee3c214e6fc88f297b6524d0b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::cauchy_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cauchy__rng_8hpp_source.html#l00022">22</a> of file <a class="el" href="cauchy__rng_8hpp_source.html">cauchy_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a64c0dfe5862fc53f1a18d76f14a1dc7e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::cbrt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2cbrt_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2cbrt_8hpp_source.html">cbrt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2a865962fcd8998de077f4a77b0a4ffa"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::cbrt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the cube root of the specified variable (C99). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#a64c0dfe5862fc53f1a18d76f14a1dc7e">cbrt()</a> for the double-based version.</p>
+<p>The derivative is</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} x^{1/3} = \frac{1}{3 x^{2/3}}$" src="form_293.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{cbrt}(x) = \begin{cases} \sqrt[3]{x} &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_294.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{cbrt}(x)}{\partial x} = \begin{cases} \frac{1}{3x^{2/3}} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_295.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Specified variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cube root of the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2cbrt_8hpp_source.html#l00056">56</a> of file <a class="el" href="rev_2scal_2fun_2cbrt_8hpp_source.html">cbrt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab1b2e9b4a947b81917612a8d1d547afb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::ceil </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2ceil_8hpp_source.html#l00011">11</a> of file <a class="el" href="fwd_2scal_2fun_2ceil_8hpp_source.html">ceil.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a06e924d5a6c94f7593056b5cb1324b66"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::ceil </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the ceiling of the specified variable (cmath). </p>
+<p>The derivative of the ceiling function is defined and zero everywhere but at integers, and we set them to zero for convenience,</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} {\lceil x \rceil} = 0$" src="form_296.png"/>.</p>
+<p>The ceiling function rounds up. For double values, this is the smallest integral value that is not less than the specified value. Although this function is not differentiable because it is discontinuous at integral values, its gradient is returned as zero everywhere.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{ceil}(x) = \begin{cases} \lceil x\rceil &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_297.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{ceil}(x)}{\partial x} = \begin{cases} 0 &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_298.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Input variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Ceiling of the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2ceil_8hpp_source.html#l00060">60</a> of file <a class="el" href="rev_2scal_2fun_2ceil_8hpp_source.html">ceil.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a16d53b31b377bc3fc120d6469af3d99e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_low , typename T_high &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_bounded </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_low &amp;&#160;</td>
+          <td class="paramname"><em>low</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_high &amp;&#160;</td>
+          <td class="paramname"><em>high</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the value is between the low and high values, inclusively. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of value </td></tr>
+    <tr><td class="paramname">T_low</td><td>Type of low value </td></tr>
+    <tr><td class="paramname">T_high</td><td>Type of high value</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Value to check </td></tr>
+    <tr><td class="paramname">low</td><td>Low bound </td></tr>
+    <tr><td class="paramname">high</td><td>High bound</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the value is between low and high, inclusively. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>otherwise. This also throws if any of the arguments are NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__bounded_8hpp_source.html#l00095">95</a> of file <a class="el" href="check__bounded_8hpp_source.html">check_bounded.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6a07026df8b25226da59ac45f8e679c9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_cholesky_factor </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified matrix is a valid Cholesky factor. </p>
+<p>A Cholesky factor is a lower triangular matrix whose diagonal elements are all positive. Note that Cholesky factors need not be square, but require at least as many rows M as columns N (i.e., M &gt;= N).</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of elements of Cholesky factor</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is a valid Cholesky factor </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if y is not a valid Choleksy factor, if number of rows is less than the number of columns, if there are 0 columns, or if any element in matrix is NaN </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__cholesky__factor_8hpp_source.html#l00035">35</a> of file <a class="el" href="check__cholesky__factor_8hpp_source.html">check_cholesky_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa2df70fec3388f7969c873e6aa071b7e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_cholesky_factor_corr </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified matrix is a valid Cholesky factor of a correlation matrix. </p>
+<p>A Cholesky factor is a lower triangular matrix whose diagonal elements are all positive. Note that Cholesky factors need not be square, but require at least as many rows M as columns N (i.e., M &gt;= N).</p>
+<p>Tolerance is specified by <code><a class="el" href="namespacestan_1_1math.html#aece739c5a2672028f0c7848045b89f08" title="The tolerance for checking arithmetic bounds In rank and in simplexes. ">math::CONSTRAINT_TOLERANCE</a></code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of elements of Cholesky factor</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix to test </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is a valid Cholesky factor of a correlation matrix </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if y is not a valid Choleksy factor, if number of rows is less than the number of columns, if there are 0 columns, or if any element in matrix is NaN </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__cholesky__factor__corr_8hpp_source.html#l00039">39</a> of file <a class="el" href="check__cholesky__factor__corr_8hpp_source.html">check_cholesky_factor_corr.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a16b0a60f741f97efac53254839f24ff8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_column_index </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>i</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified index is a valid column of the matrix. </p>
+<p>By default, this is a 1-indexed check (as opposed to 0-indexed). Behavior can be changed by setting <code><a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></code>. This function will throw an <code>std::out_of_range</code> exception if the index is out of bounds.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">R</td><td>Number of rows of the matrix </td></tr>
+    <tr><td class="paramname">C</td><td>Number of columns of the matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix </td></tr>
+    <tr><td class="paramname">i</td><td>Index to check</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the index is a valid column index of the matrix. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::out_of_range</td><td>if index is an invalid column index </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__column__index_8hpp_source.html#l00037">37</a> of file <a class="el" href="check__column__index_8hpp_source.html">check_column_index.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6b6ab798e2f2a2ffad6b244efab0a58f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_consistent_size </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>expected_size</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the dimension of x is consistent, which is defined to be <code>expected_size</code> if x is a vector or 1 if x is not a vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of value</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">x</td><td>Variable to check for consistent size </td></tr>
+    <tr><td class="paramname">expected_size</td><td>Expected size if x is a vector</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if x is scalar or if x is vector-like and has size of <code>expected_size</code> </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;invalid_argument&lt;/code&gt;</td><td>if the size is inconsistent </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__consistent__size_8hpp_source.html#l00029">29</a> of file <a class="el" href="check__consistent__size_8hpp_source.html">check_consistent_size.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_consistent_sizes </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the dimension of x1 is consistent with x2. </p>
+<p>Consistent size is defined as having the same size if vector-like or being a scalar.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of x1 </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of x2</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name1</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">x1</td><td>Variable to check for consistent size </td></tr>
+    <tr><td class="paramname">name2</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">x2</td><td>Variable to check for consistent size</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if x1 and x2 have consistent sizes </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;invalid_argument&lt;/code&gt;</td><td>if sizes are inconsistent </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__consistent__sizes_8hpp_source.html#l00031">31</a> of file <a class="el" href="check__consistent__sizes_8hpp_source.html">check_consistent_sizes.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2fa5d10851fe1307ed7a0ffb768ff861"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_consistent_sizes </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the dimension of x1, x2, and x3 are consistent. </p>
+<p>Consistent size is defined as having the same size if vector-like or being a scalar.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of x1 </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of x2 </td></tr>
+    <tr><td class="paramname">T3</td><td>Type of x3</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name1</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">x1</td><td>Variable to check for consistent size </td></tr>
+    <tr><td class="paramname">name2</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">x2</td><td>Variable to check for consistent size </td></tr>
+    <tr><td class="paramname">name3</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">x3</td><td>Variable to check for consistent size</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if x1, x2, and x3 have consistent sizes </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;invalid_argument&lt;/code&gt;</td><td>if sizes are inconsistent </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__consistent__sizes_8hpp_source.html#l00066">66</a> of file <a class="el" href="check__consistent__sizes_8hpp_source.html">check_consistent_sizes.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a817ff4687b2d9d98f7f7bf82e9286266"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 , typename T4 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_consistent_sizes </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T4 &amp;&#160;</td>
+          <td class="paramname"><em>x4</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the dimension of x1, x2, x3, and x4 are consistent. </p>
+<p>Consistent size is defined as having the same size if vector-like or being a scalar.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of x1 </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of x2 </td></tr>
+    <tr><td class="paramname">T3</td><td>Type of x3 </td></tr>
+    <tr><td class="paramname">T4</td><td>Type of x4</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name1</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">x1</td><td>Variable to check for consistent size </td></tr>
+    <tr><td class="paramname">name2</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">x2</td><td>Variable to check for consistent size </td></tr>
+    <tr><td class="paramname">name3</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">x3</td><td>Variable to check for consistent size </td></tr>
+    <tr><td class="paramname">name4</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">x4</td><td>Variable to check for consistent size</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if x1, x2, x3, and x4 have consistent sizes </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;invalid_argument&lt;/code&gt;</td><td>if sizes are inconsistent </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__consistent__sizes_8hpp_source.html#l00107">107</a> of file <a class="el" href="check__consistent__sizes_8hpp_source.html">check_consistent_sizes.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8496e1bd1273f06de6712e3fb81e2c3f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 , typename T4 , typename T5 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_consistent_sizes </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T4 &amp;&#160;</td>
+          <td class="paramname"><em>x4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name5</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T5 &amp;&#160;</td>
+          <td class="paramname"><em>x5</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="check__consistent__sizes_8hpp_source.html#l00128">128</a> of file <a class="el" href="check__consistent__sizes_8hpp_source.html">check_consistent_sizes.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4f56159e67a4047107cc552702abaa6c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_corr_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified matrix is a valid correlation matrix. </p>
+<p>A valid correlation matrix is symmetric, has a unit diagonal (all 1 values), and has all values between -1 and 1 (inclusive).</p>
+<p>This function throws exceptions if the variable is not a valid correlation matrix.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Name of the function this was called from </td></tr>
+    <tr><td class="paramname">name</td><td>Name of the variable </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the specified matrix is a valid correlation matrix </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the matrix is not square or if the matrix is 0x0 </td></tr>
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the matrix is non-symmetric, diagonals not near 1, not positive definite, or any of the elements nan. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__corr__matrix_8hpp_source.html#l00045">45</a> of file <a class="el" href="check__corr__matrix_8hpp_source.html">check_corr_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6e298b7563329829cb79930a121223b1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_cov_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified matrix is a valid covariance matrix. </p>
+<p>A valid covariance matrix is a square, symmetric matrix that is positive definite.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is a valid covariance matrix </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the matrix is not square or if the matrix is 0x0 </td></tr>
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the matrix is not symmetric, if the matrix is not positive definite, or if any element of the matrix is nan </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__cov__matrix_8hpp_source.html#l00031">31</a> of file <a class="el" href="check__cov__matrix_8hpp_source.html">check_cov_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1d8cfae284cdae1bb7e83d2a136f9a04"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_eq &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_equal </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_eq &amp;&#160;</td>
+          <td class="paramname"><em>eq</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if <code>y</code> is equal to <code>eq</code>. </p>
+<p>This function is vectorized over both <code>y</code> and <code>eq</code>. If both <code>y</code> and <code>eq</code> are scalar or vector-like, then each element is compared in order. If one of <code>y</code> or <code>eq</code> are vector and the other is scalar, then the scalar is broadcast to the size of the vector.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of variable </td></tr>
+    <tr><td class="paramname">T_eq</td><td>Type of comparison</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Variable to check equality </td></tr>
+    <tr><td class="paramname">eq</td><td>Expected value for y</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if y is equal to eq </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if y is unequal to eq or if any element of y or eq is NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__equal_8hpp_source.html#l00090">90</a> of file <a class="el" href="check__equal_8hpp_source.html">check_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5bf014e7733b17748049ccc5f3565de3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_finite </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if <code>y</code> is finite. </p>
+<p>This function is vectorized and will check each element of <code>y</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of y</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Variable to check</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if y is finite. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;domain_error&lt;/code&gt;</td><td>if y is infinity, -infinity, or NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__finite_8hpp_source.html#l00062">62</a> of file <a class="el" href="check__finite_8hpp_source.html">check_finite.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad60ac97b8f74b7c5ce2feb4bdb9e09e0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_low &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_greater </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_low &amp;&#160;</td>
+          <td class="paramname"><em>low</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if <code>y</code> is strictly greater than <code>low</code>. </p>
+<p>This function is vectorized and will check each element of <code>y</code> against each element of <code>low</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of y </td></tr>
+    <tr><td class="paramname">T_low</td><td>Type of lower bound</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Variable to check </td></tr>
+    <tr><td class="paramname">low</td><td>Lower bound</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if y is strictly greater than low. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;domain_error&lt;/code&gt;</td><td>if y is not greater than low or if any element of y or low is NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__greater_8hpp_source.html#l00084">84</a> of file <a class="el" href="check__greater_8hpp_source.html">check_greater.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3d5b19f8930c14681349d8444142487e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_low &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_greater_or_equal </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_low &amp;&#160;</td>
+          <td class="paramname"><em>low</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if <code>y</code> is greater or equal than <code>low</code>. </p>
+<p>This function is vectorized and will check each element of <code>y</code> against each element of <code>low</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of y </td></tr>
+    <tr><td class="paramname">T_low</td><td>Type of lower bound</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Variable to check </td></tr>
+    <tr><td class="paramname">low</td><td>Lower bound</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if y is greater or equal than low. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;domain_error&lt;/code&gt;</td><td>if y is not greater or equal to low or if any element of y or low is NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__greater__or__equal_8hpp_source.html#l00084">84</a> of file <a class="el" href="check__greater__or__equal_8hpp_source.html">check_greater_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7547b05717280b1cc041309803ec797d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_ldlt_factor </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the argument is a valid <code><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a></code>. </p>
+<p><code><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a></code> can be constructed in an invalid state, so it must be checked. A invalid <code><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a></code> is constructed from a non positive definite matrix.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar </td></tr>
+    <tr><td class="paramname">R</td><td>Rows of the matrix </td></tr>
+    <tr><td class="paramname">C</td><td>Columns of the matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">A</td><td><code><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a></code> to check for validity.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is positive definite. </dd>
+<dd>
+throws <code>std::domain_error</code> the <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> was created improperly (A.success() == false) </dd></dl>
+
+<p>Definition at line <a class="el" href="check__ldlt__factor_8hpp_source.html#l00034">34</a> of file <a class="el" href="check__ldlt__factor_8hpp_source.html">check_ldlt_factor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aab225792149dceaec443ce09b93f8744"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_high &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_less </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_high &amp;&#160;</td>
+          <td class="paramname"><em>high</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if <code>y</code> is strictly less than <code>high</code>. </p>
+<p>This function is vectorized and will check each element of <code>y</code> against each element of <code>high</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of y </td></tr>
+    <tr><td class="paramname">T_high</td><td>Type of upper bound</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Variable to check </td></tr>
+    <tr><td class="paramname">high</td><td>Upper bound</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if y is strictly less than low. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;domain_error&lt;/code&gt;</td><td>if y is not less than low or if any element of y or high is NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__less_8hpp_source.html#l00081">81</a> of file <a class="el" href="check__less_8hpp_source.html">check_less.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5e9dd0895901bf876eca824b41f04003"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_high &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_less_or_equal </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_high &amp;&#160;</td>
+          <td class="paramname"><em>high</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if <code>y</code> is less or equal to <code>high</code>. </p>
+<p>This function is vectorized and will check each element of <code>y</code> against each element of <code>high</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of y </td></tr>
+    <tr><td class="paramname">T_high</td><td>Type of upper bound</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Variable to check </td></tr>
+    <tr><td class="paramname">high</td><td>Upper bound</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if y is less than or equal to low. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if y is not less than or equal to low or if any element of y or high is NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__less__or__equal_8hpp_source.html#l00081">81</a> of file <a class="el" href="check__less__or__equal_8hpp_source.html">check_less_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acd07dd6b395becbbd349814c0e55c0d9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_lower_triangular </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified matrix is lower triangular. </p>
+<p>A matrix x is not lower triangular if there is a non-zero entry x[m, n] with m &lt; n. This function only inspects the upper triangular portion of the matrix, not including the diagonal.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar of the matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is lower triangular. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the matrix is not lower triangular or if any element in the upper triangular portion is NaN </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__lower__triangular_8hpp_source.html#l00034">34</a> of file <a class="el" href="check__lower__triangular_8hpp_source.html">check_lower_triangular.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa1149504bbf29d464f23508ca5eccc0a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_matching_dims </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the two matrices are of the same size. </p>
+<p>This function checks not only the runtime sizes, but the static sizes as well. For example, a 4x1 matrix is not the same as a vector with 4 elements.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of the first matrix </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of the second matrix </td></tr>
+    <tr><td class="paramname">R1</td><td>Rows specified at compile time of the first matrix </td></tr>
+    <tr><td class="paramname">C1</td><td>Columns specified at compile time of the first matrix </td></tr>
+    <tr><td class="paramname">R2</td><td>Rows specified at compile time of the second matrix </td></tr>
+    <tr><td class="paramname">C2</td><td>Columns specified at compile time of the second matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name1</td><td>Variable name for the first matrix (for error messages) </td></tr>
+    <tr><td class="paramname">y1</td><td>First matrix </td></tr>
+    <tr><td class="paramname">name2</td><td>Variable name for the second matrix (for error messages) </td></tr>
+    <tr><td class="paramname">y2</td><td>Second matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the dimensions of the two matrices match </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the dimensions of the matrices do not match </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__matching__dims_8hpp_source.html#l00037">37</a> of file <a class="el" href="check__matching__dims_8hpp_source.html">check_matching_dims.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a52ba893fcf6fc650e992c13d41fbc3ae"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y1 , typename T_y2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_matching_sizes </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y1 &amp;&#160;</td>
+          <td class="paramname"><em>y1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y2 &amp;&#160;</td>
+          <td class="paramname"><em>y2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if two structures at the same size. </p>
+<p>This function only checks the runtime sizes for variables that implement a <code><a class="el" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462" title="Return the size of the specified standard vector. ">size()</a></code> method.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y1</td><td>Type of the first variable </td></tr>
+    <tr><td class="paramname">T_y2</td><td>Type of the second variable</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name1</td><td>First variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y1</td><td>First variable </td></tr>
+    <tr><td class="paramname">name2</td><td>Second variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y2</td><td>Second variable</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the sizes match </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the sizes do not match </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__matching__sizes_8hpp_source.html#l00029">29</a> of file <a class="el" href="check__matching__sizes_8hpp_source.html">check_matching_sizes.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3cfbb4f09fe34b9ece32be051f16ce66"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_multiplicable </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>y1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>y2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the matrices can be multiplied. </p>
+<p>This checks the runtime sizes to determine whether the two matrices are multiplicable. This allows <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrices, vectors, and row vectors to be checked.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of first matrix </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of second matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name1</td><td>Variable name for the first matrix (for error messages) </td></tr>
+    <tr><td class="paramname">y1</td><td>First matrix </td></tr>
+    <tr><td class="paramname">name2</td><td>Variable name for the second matrix (for error messages) </td></tr>
+    <tr><td class="paramname">y2</td><td>Second matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the two matrices are multiplicable </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the matrices are not multiplicable or if either matrix is size 0 for either rows or columns </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__multiplicable_8hpp_source.html#l00033">33</a> of file <a class="el" href="check__multiplicable_8hpp_source.html">check_multiplicable.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7a6be100befb6d08504cf5af8440b236"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_nonnegative </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if <code>y</code> is non-negative. </p>
+<p>This function is vectorized and will check each element of <code>y</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of y</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Variable to check</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if y is greater than or equal to 0. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;domain_error&lt;/code&gt;</td><td>if y is negative or if any element of y is NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__nonnegative_8hpp_source.html#l00066">66</a> of file <a class="el" href="check__nonnegative_8hpp_source.html">check_nonnegative.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a97c3c23033e47a923ed5ce26a4deeba5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_nonzero_size </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified matrix/vector is of non-zero size. </p>
+<p>Throws a std:invalid_argument otherwise. The message will indicate that the variable name "has size 0".</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of container</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Container to test. This will accept matrices and vectors</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the the specified matrix/vector is of non-zero size </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the specified matrix/vector has zero size </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__nonzero__size_8hpp_source.html#l00030">30</a> of file <a class="el" href="check__nonzero__size_8hpp_source.html">check_nonzero_size.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7942532ef8f89cee24af75a383835ee1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_not_nan </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if <code>y</code> is not <code>NaN</code>. </p>
+<p>This function is vectorized and will check each element of <code>y</code>. If any element is <code>NaN</code>, this function will throw an exception.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of y</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Variable to check</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if y is not NaN. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;domain_error&lt;/code&gt;</td><td>if any element of y is NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__not__nan_8hpp_source.html#l00063">63</a> of file <a class="el" href="check__not__nan_8hpp_source.html">check_not_nan.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af55e7669a804e68bc9d39ecd06318b23"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_ordered </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T_y &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified vector is sorted into strictly increasing order. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td><code>std::vector</code> to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the vector is ordered </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the vector elements are not ordered, if there are duplicated values, or if any element is <code>NaN</code>. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="arr_2err_2check__ordered_8hpp_source.html#l00030">30</a> of file <a class="el" href="arr_2err_2check__ordered_8hpp_source.html">check_ordered.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2a7b212a4431aeedca59b2e94c84f788"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_ordered </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified vector is sorted into strictly increasing order. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Vector to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the vector is ordered </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the vector elements are not ordered, if there are duplicated values, or if any element is <code>NaN</code>. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2err_2check__ordered_8hpp_source.html#l00031">31</a> of file <a class="el" href="mat_2err_2check__ordered_8hpp_source.html">check_ordered.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a73c78430d39530eb8c4ef3fed06f7082"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_pos_definite </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified square, symmetric matrix is positive definite. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar of the matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is positive definite </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the matrix is not square or if the matrix has 0 size. </td></tr>
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the matrix is not symmetric, if it is not positive definite, or if any element is <code>NaN</code>. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__pos__definite_8hpp_source.html#l00037">37</a> of file <a class="el" href="check__pos__definite_8hpp_source.html">check_pos_definite.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac0662f5d1e64e1adfa2f6216d1d58d6a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Derived &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_pos_definite </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::LDLT&lt; Derived &gt; &amp;&#160;</td>
+          <td class="paramname"><em>cholesky</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified LDLT transform of a matrix is positive definite. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">Derived</td><td>Derived type of the Eigen::LDLT transform.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">cholesky</td><td>Eigen::LDLT to test, whose progenitor must not have any NaN elements</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is positive definite </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the matrix is not positive definite. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__pos__definite_8hpp_source.html#l00077">77</a> of file <a class="el" href="check__pos__definite_8hpp_source.html">check_pos_definite.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a32de4907da5087c01bfdda45a8ab1ede"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Derived &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_pos_definite </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::LLT&lt; Derived &gt; &amp;&#160;</td>
+          <td class="paramname"><em>cholesky</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified LLT transform of a matrix is positive definite. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">Derived</td><td>Derived type of the Eigen::LLT transform.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">cholesky</td><td>Eigen::LLT to test, whose progenitor must not have any NaN elements</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is positive definite </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the diagonal of the L matrix is not positive. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__pos__definite_8hpp_source.html#l00103">103</a> of file <a class="el" href="check__pos__definite_8hpp_source.html">check_pos_definite.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a02cfec85c227ec8307c522c00df02928"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_pos_semidefinite </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified matrix is positive definite. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>scalar type of the matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is positive semi-definite. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the matrix is not square or if the matrix has 0 size. </td></tr>
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the matrix is not symmetric, or if it is not positive semi-definite, or if any element of the matrix is <code>NaN</code>. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__pos__semidefinite_8hpp_source.html#l00035">35</a> of file <a class="el" href="check__pos__semidefinite_8hpp_source.html">check_pos_semidefinite.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a814694b1125e641ca7b2e7269c82f966"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_positive </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if <code>y</code> is positive. </p>
+<p>This function is vectorized and will check each element of <code>y</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of y</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Variable to check</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if y is greater than 0. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;domain_error&lt;/code&gt;</td><td>if y is negative or zero or if any element of y is NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__positive_8hpp_source.html#l00068">68</a> of file <a class="el" href="check__positive_8hpp_source.html">check_positive.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af0725693b09e454f5c8327ac89cf0245"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_positive_finite </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if <code>y</code> is positive and finite. </p>
+<p>This function is vectorized and will check each element of <code>y</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of y</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Variable to check</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if every element of y is greater than 0 and y is not infinite. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;domain_error&lt;/code&gt;</td><td>if any element of y is not positive or if any element of y is NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__positive__finite_8hpp_source.html#l00028">28</a> of file <a class="el" href="check__positive__finite_8hpp_source.html">check_positive_finite.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a87f00a8c0f07c5a82145a14712437673"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_positive_ordered </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified vector contains non-negative values and is sorted into strictly increasing order. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Vector to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the vector is positive, ordered </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the vector contains non-positive values, if the values are not ordered, if there are duplicated values, or if any element is <code>NaN</code>. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__positive__ordered_8hpp_source.html#l00032">32</a> of file <a class="el" href="check__positive__ordered_8hpp_source.html">check_positive_ordered.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac6fe1398a136f3dc36d246a2ea747500"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_positive_size </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>expr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>size</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if <code>size</code> is positive. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">expr</td><td>Expression for the dimension size (for error messages) </td></tr>
+    <tr><td class="paramname">size</td><td>Size value to check</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if <code>size</code> is greater than 0. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if <code>size</code> is zero or negative. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__positive__size_8hpp_source.html#l00023">23</a> of file <a class="el" href="check__positive__size_8hpp_source.html">check_positive_size.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adcd4dcac328824f71f31d6861b8610ee"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_range </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>max</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>index</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>nested_level</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if specified index is within range. </p>
+<p>This check is 1-indexed by default. This behavior can be changed by setting <code><a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">max</td><td>Maximum size of the variable </td></tr>
+    <tr><td class="paramname">index</td><td>Index to check </td></tr>
+    <tr><td class="paramname">nested_level</td><td>Nested level (for error messages) </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Additional error message (for error messages)</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the index is within range </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::out_of_range&lt;/code&gt;</td><td>if the index is not in range </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__range_8hpp_source.html#l00029">29</a> of file <a class="el" href="check__range_8hpp_source.html">check_range.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8822ad6a9b8706465e8e1f90c336e3c2"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_range </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>max</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>index</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if specified index is within range. </p>
+<p>This check is 1-indexed by default. This behavior can be changed by setting <code><a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">max</td><td>Maximum size of the variable </td></tr>
+    <tr><td class="paramname">index</td><td>Index to check </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Additional error message (for error messages)</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the index is within range </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::out_of_range&lt;/code&gt;</td><td>if the index is not in range </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__range_8hpp_source.html#l00062">62</a> of file <a class="el" href="check__range_8hpp_source.html">check_range.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7e76ffb67d3c6c6c225b0ba7b991f449"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_range </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>max</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>index</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if specified index is within range. </p>
+<p>This check is 1-indexed by default. This behavior can be changed by setting <code><a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">max</td><td>Maximum size of the variable </td></tr>
+    <tr><td class="paramname">index</td><td>Index to check</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the index is within range </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::out_of_range&lt;/code&gt;</td><td>if the index is not in range </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__range_8hpp_source.html#l00089">89</a> of file <a class="el" href="check__range_8hpp_source.html">check_range.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acb080867499e68f688b0dcb5c8f4e061"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_row_index </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified index is a valid row of the matrix. </p>
+<p>This check is 1-indexed by default. This behavior can be changed by setting <code><a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type </td></tr>
+    <tr><td class="paramname">R</td><td>Compile time rows </td></tr>
+    <tr><td class="paramname">C</td><td>Compile time columns</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix to test </td></tr>
+    <tr><td class="paramname">i</td><td>is index</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the index is a valid row index in the matrix </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::out_of_range&lt;/code&gt;</td><td>if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__row__index_8hpp_source.html#l00032">32</a> of file <a class="el" href="check__row__index_8hpp_source.html">check_row_index.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6affd19d4999c427291a2bbb07bce304"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_simplex </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified vector is simplex. </p>
+<p>To be a simplex, all values must be greater than or equal to 0 and the values must sum to 1.</p>
+<p>A valid simplex is one where the sum of hte elements is equal to 1. This function tests that the sum is within the tolerance specified by <code>CONSTRAINT_TOLERANCE</code>. This function only accepts <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vectors, statically typed vectors, not general matrices with 1 column.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_prob</td><td>Scalar type of the vector</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">theta</td><td>Vector to test.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the vector is a simplex </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if <code>theta</code> is a 0-vector. </td></tr>
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the vector is not a simplex or if any element is <code>NaN</code>. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__simplex_8hpp_source.html#l00041">41</a> of file <a class="el" href="check__simplex_8hpp_source.html">check_simplex.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa547146eaac690e79a611e50a6dffb4d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_size1 , typename T_size2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_size_match </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name_i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T_size1&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name_j</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T_size2&#160;</td>
+          <td class="paramname"><em>j</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the provided sizes match. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_size1</td><td>Type of size 1 </td></tr>
+    <tr><td class="paramname">T_size2</td><td>Type of size 2</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name_i</td><td>Variable name 1 (for error messages) </td></tr>
+    <tr><td class="paramname">i</td><td>Size 1 </td></tr>
+    <tr><td class="paramname">name_j</td><td>Variable name 2 (for error messages) </td></tr>
+    <tr><td class="paramname">j</td><td>Size 2</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the sizes match </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the sizes do not match </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__size__match_8hpp_source.html#l00030">30</a> of file <a class="el" href="check__size__match_8hpp_source.html">check_size_match.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0c66b22fce7bd878b687d550299eb248"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_size1 , typename T_size2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_size_match </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>expr_i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name_i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T_size1&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>expr_j</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name_j</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T_size2&#160;</td>
+          <td class="paramname"><em>j</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the provided sizes match. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_size1</td><td>Type of size 1 </td></tr>
+    <tr><td class="paramname">T_size2</td><td>Type of size 2</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">expr_i</td><td>Expression for variable name 1 (for error messages) </td></tr>
+    <tr><td class="paramname">name_i</td><td>Variable name 1 (for error messages) </td></tr>
+    <tr><td class="paramname">i</td><td>Size 1 </td></tr>
+    <tr><td class="paramname">expr_j</td><td>Expression for variable name 2 (for error messages) </td></tr>
+    <tr><td class="paramname">name_j</td><td>Variable name 2 (for error messages) </td></tr>
+    <tr><td class="paramname">j</td><td>Size 2</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the sizes match </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the sizes do not match </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__size__match_8hpp_source.html#l00067">67</a> of file <a class="el" href="check__size__match_8hpp_source.html">check_size_match.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7f80d208c430ed463474147d0e3ec3ce"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_spsd_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified matrix is a square, symmetric, and positive semi-definite. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type of the matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is a square, symmetric, and positive semi-definite. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the matrix is not square or if the matrix is 0x0 </td></tr>
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the matrix is not symmetric or if the matrix is not positive semi-definite </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__spsd__matrix_8hpp_source.html#l00031">31</a> of file <a class="el" href="check__spsd__matrix_8hpp_source.html">check_spsd_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a94cfaa76ca5bc3f0ea5ad1d5b9f80727"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_square </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified matrix is square. </p>
+<p>This check allows 0x0 matrices.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is a square matrix. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the matrix is not square </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__square_8hpp_source.html#l00028">28</a> of file <a class="el" href="check__square_8hpp_source.html">check_square.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7ed873db07e833c14413c319a5bb9837"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_std_vector_index </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>i</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified index is valid in std vector. </p>
+<p>This check is 1-indexed by default. This behavior can be changed by setting <code><a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td><code>std::vector</code> to test </td></tr>
+    <tr><td class="paramname">i</td><td>Index</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the index is a valid in std vector. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::out_of_range&lt;/code&gt;</td><td>if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__std__vector__index_8hpp_source.html#l00030">30</a> of file <a class="el" href="check__std__vector__index_8hpp_source.html">check_std_vector_index.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab874d14a9441896a9d9e0172ba555357"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_symmetric </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified matrix is symmetric. </p>
+<p>The error message is either 0 or 1 indexed, specified by <code><a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a></code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">y</td><td>Matrix to test</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the matrix is symmetric </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if the matrix is not square. </td></tr>
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if any element not on the main diagonal is <code>NaN</code> </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__symmetric_8hpp_source.html#l00037">37</a> of file <a class="el" href="check__symmetric_8hpp_source.html">check_symmetric.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abde0b7cf68eab53d00c041fec244c735"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_unit_vector </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified vector is unit vector. </p>
+<p>A valid unit vector is one where the square of the elements summed is equal to 1. This function tests that the sum is within the tolerance specified by <code>CONSTRAINT_TOLERANCE</code>. This function only accepts <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vectors, statically typed vectors, not general matrices with 1 column.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_prob</td><td>Scalar type of the vector</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">theta</td><td>Vector to test.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the vector is a unit vector. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if <code>theta</code> is a 0-vector. </td></tr>
+    <tr><td class="paramname">&lt;code&gt;std::domain_error&lt;/code&gt;</td><td>if the vector is not a unit vector or if any element is <code>NaN</code>. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__unit__vector_8hpp_source.html#l00036">36</a> of file <a class="el" href="check__unit__vector_8hpp_source.html">check_unit_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5b78e5ddf65db13aaa65a6c58205fbf2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::check_vector </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the matrix is either a row vector or column vector. </p>
+<p>This function checks the runtime size of the matrix to check whether it is a row or column vector.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type of the matrix </td></tr>
+    <tr><td class="paramname">R</td><td>Compile time rows of the matrix </td></tr>
+    <tr><td class="paramname">C</td><td>Compile time columns of the matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Function name (for error messages) </td></tr>
+    <tr><td class="paramname">name</td><td>Variable name (for error messages) </td></tr>
+    <tr><td class="paramname">x</td><td>Matrix</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if x either has 1 columns or 1 rows </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">&lt;code&gt;std::invalid_argument&lt;/code&gt;</td><td>if x is not a row or column vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="check__vector_8hpp_source.html#l00034">34</a> of file <a class="el" href="check__vector_8hpp_source.html">check_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af270a4206e4a52396b386b54c9a58ae9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof&gt;::type stan::math::chi_square_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="chi__square__ccdf__log_8hpp_source.html#l00030">30</a> of file <a class="el" href="chi__square__ccdf__log_8hpp_source.html">chi_square_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa196f552535f61f4b2bd088da74cc142"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof&gt;::type stan::math::chi_square_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculates the chi square cumulative distribution function for the given variate and degrees of freedom. </p>
+<p>y A scalar variate. nu Degrees of freedom.</p>
+<dl class="section return"><dt>Returns</dt><dd>The cdf of the chi square distribution </dd></dl>
+
+<p>Definition at line <a class="el" href="chi__square__cdf_8hpp_source.html#l00039">39</a> of file <a class="el" href="chi__square__cdf_8hpp_source.html">chi_square_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acbf0413c908e37c44c24ad81f99aa77f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof&gt;::type stan::math::chi_square_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="chi__square__cdf__log_8hpp_source.html#l00030">30</a> of file <a class="el" href="chi__square__cdf__log_8hpp_source.html">chi_square_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8a1c945dce01a8a4b4485b7c5bb258ba"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_dof &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof&gt;::type stan::math::chi_square_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of a chi-squared density for y with the specified degrees of freedom parameter. </p>
+<p>The degrees of freedom prarameter must be greater than 0. y must be greater than or equal to 0.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} y &amp;\sim&amp; \chi^2_\nu \\ \log (p (y \, |\, \nu)) &amp;=&amp; \log \left( \frac{2^{-\nu / 2}}{\Gamma (\nu / 2)} y^{\nu / 2 - 1} \exp^{- y / 2} \right) \\ &amp;=&amp; - \frac{\nu}{2} \log(2) - \log (\Gamma (\nu / 2)) + (\frac{\nu}{2} - 1) \log(y) - \frac{y}{2} \\ &amp; &amp; \mathrm{ where } \; y \ge 0 \end{eqnarray*}" src="form_192.png"/>
+</p>
+ <dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">nu</td><td>Degrees of freedom. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if nu is not greater than or equal to 0 </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if y is not greater than or equal to 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_dof</td><td>Type of degrees of freedom. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="chi__square__log_8hpp_source.html#l00049">49</a> of file <a class="el" href="chi__square__log_8hpp_source.html">chi_square_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a78965d5578823b4bae1dde58e42012c1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof&gt;::type stan::math::chi_square_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="chi__square__log_8hpp_source.html#l00146">146</a> of file <a class="el" href="chi__square__log_8hpp_source.html">chi_square_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac1653e58694ea92bc1781e5d332c31e8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::chi_square_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="chi__square__rng_8hpp_source.html#l00024">24</a> of file <a class="el" href="chi__square__rng_8hpp_source.html">chi_square_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab9d24004ec984f89b342414ff6312d0a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::cholesky_corr_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>K</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cholesky__corr__constrain_8hpp_source.html#l00020">20</a> of file <a class="el" href="cholesky__corr__constrain_8hpp_source.html">cholesky_corr_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6649012a7c4d7108fb5dc5ebd6a13683"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::cholesky_corr_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>K</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cholesky__corr__constrain_8hpp_source.html#l00058">58</a> of file <a class="el" href="cholesky__corr__constrain_8hpp_source.html">cholesky_corr_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeed4fbb1adce01dfc445cae326e4c482"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::cholesky_corr_free </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cholesky__corr__free_8hpp_source.html#l00018">18</a> of file <a class="el" href="cholesky__corr__free_8hpp_source.html">cholesky_corr_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4d798c4cab5a0716a0e338de38617c8e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::cholesky_decompose </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the lower-triangular Cholesky factor (i.e., matrix square root) of the specified square, symmetric matrix. </p>
+<p>The return value <img class="formulaInl" alt="$L$" src="form_9.png"/> will be a lower-traingular matrix such that the original matrix <img class="formulaInl" alt="$A$" src="form_10.png"/> is given by </p>
+<p><img class="formulaInl" alt="$A = L \times L^T$" src="form_11.png"/>. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Symmetrix matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Square root of matrix. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if m is not a symmetric matrix or if m is not positive definite (if m has more than 0 elements) </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2cholesky__decompose_8hpp_source.html#l00025">25</a> of file <a class="el" href="prim_2mat_2fun_2cholesky__decompose_8hpp_source.html">cholesky_decompose.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af8e46af32d475d13fb882b6ae58051de"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, -1, -1&gt; stan::math::cholesky_decompose </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>,-1,-1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html#l00131">131</a> of file <a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html">cholesky_decompose.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae2be4ed6bbf19487de29cfc85718ed3b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::cholesky_factor_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>M</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>N</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the Cholesky factor of the specified size read from the specified vector. </p>
+<p>A total of (N choose 2) + N + (M - N) * N elements are required to read an M by N Cholesky factor.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalars in matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector of unconstrained values </td></tr>
+    <tr><td class="paramname">M</td><td>Number of rows </td></tr>
+    <tr><td class="paramname">N</td><td>Number of columns </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cholesky factor </dd></dl>
+
+<p>Definition at line <a class="el" href="cholesky__factor__constrain_8hpp_source.html#l00029">29</a> of file <a class="el" href="cholesky__factor__constrain_8hpp_source.html">cholesky_factor_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8eb630493ae2edfb2dbc9caeda00dfff"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::cholesky_factor_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>M</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the Cholesky factor of the specified size read from the specified vector and increment the specified log probability reference with the log Jacobian adjustment of the transform. </p>
+<p>A total of (N choose 2) + N + N * (M - N) free parameters are required to read an M by N Cholesky factor.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalars in matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector of unconstrained values </td></tr>
+    <tr><td class="paramname">M</td><td>Number of rows </td></tr>
+    <tr><td class="paramname">N</td><td>Number of columns </td></tr>
+    <tr><td class="paramname">lp</td><td>Log probability that is incremented with the log Jacobian </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cholesky factor </dd></dl>
+
+<p>Definition at line <a class="el" href="cholesky__factor__constrain_8hpp_source.html#l00073">73</a> of file <a class="el" href="cholesky__factor__constrain_8hpp_source.html">cholesky_factor_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad9d45c92d30d1120cfa4b71a766e1712"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::cholesky_factor_free </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the unconstrained vector of parameters correspdonding to the specified Cholesky factor. </p>
+<p>A Cholesky factor must be lower triangular and have positive diagonal elements.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Cholesky factor. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Unconstrained parameters for Cholesky factor. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the matrix is not a Cholesky factor. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="cholesky__factor__free_8hpp_source.html#l00024">24</a> of file <a class="el" href="cholesky__factor__free_8hpp_source.html">cholesky_factor_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3d822499055d9eefe6cd543ad06e1d3b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::col </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>j</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified column of the specified matrix using start-at-1 indexing. </p>
+<p>This is equivalent to calling <code>m.col(i - 1)</code> and assigning the resulting template expression to a column vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Matrix. </td></tr>
+    <tr><td class="paramname">j</td><td>Column index (count from 1). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Specified column of the matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="col_8hpp_source.html#l00024">24</a> of file <a class="el" href="col_8hpp_source.html">col.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0798f82fcc76f547303e77224fa25025"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::cols </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the number of columns in the specified matrix, vector, or row vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of matrix entries. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>Input matrix, vector, or row vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Number of columns. </dd></dl>
+
+<p>Definition at line <a class="el" href="cols_8hpp_source.html#l00020">20</a> of file <a class="el" href="cols_8hpp_source.html">cols.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad63b6eb8c9db16d8321d8f2f18632be1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, 1, C1&gt; stan::math::columns_dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2columns__dot__product_8hpp_source.html#l00018">18</a> of file <a class="el" href="fwd_2mat_2fun_2columns__dot__product_8hpp_source.html">columns_dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6d03b34aa7329a68f31d1c7bc500c5c8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, 1, C1&gt; stan::math::columns_dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product of the specified vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v1</td><td>First vector. </td></tr>
+    <tr><td class="paramname">v2</td><td>Second vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dot product of the vectors. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the vectors are not the same size or if they are both not vector dimensioned. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2columns__dot__product_8hpp_source.html#l00022">22</a> of file <a class="el" href="prim_2mat_2fun_2columns__dot__product_8hpp_source.html">columns_dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a09f7ba0991c234a715af5b4968a28014"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;boost::is_same&lt;T1, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;T2, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, 1, C1&gt; &gt;::type stan::math::columns_dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2columns__dot__product_8hpp_source.html#l00025">25</a> of file <a class="el" href="rev_2mat_2fun_2columns__dot__product_8hpp_source.html">columns_dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a415662a8443b30a03b559fad4be26e85"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, 1, C1&gt; stan::math::columns_dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2columns__dot__product_8hpp_source.html#l00035">35</a> of file <a class="el" href="fwd_2mat_2fun_2columns__dot__product_8hpp_source.html">columns_dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8ca0a75054cee6793caf8b97f47f8fa7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, 1, C1&gt; stan::math::columns_dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2columns__dot__product_8hpp_source.html#l00052">52</a> of file <a class="el" href="fwd_2mat_2fun_2columns__dot__product_8hpp_source.html">columns_dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3663d900f7f0bdd57e808301ff142ee1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, 1, C&gt; stan::math::columns_dot_self </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2columns__dot__self_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2mat_2fun_2columns__dot__self_8hpp_source.html">columns_dot_self.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3cc404fd71124d7cea29d4f6d1a767b9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, 1, C&gt; stan::math::columns_dot_self </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product of each column of a matrix with itself. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>scalar type </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2columns__dot__self_8hpp_source.html#l00016">16</a> of file <a class="el" href="prim_2mat_2fun_2columns__dot__self_8hpp_source.html">columns_dot_self.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5f1e866e49a056dc81b8b6b673dda0f8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, 1, C&gt; stan::math::columns_dot_self </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product of each column of a matrix with itself. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>scalar type </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2columns__dot__self_8hpp_source.html#l00022">22</a> of file <a class="el" href="rev_2mat_2fun_2columns__dot__self_8hpp_source.html">columns_dot_self.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6a3c8aa139b956593524b01f21c971a1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::corr_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of transforming the specified scalar to have a valid correlation value between -1 and 1 (inclusive). </p>
+<p>The transform used is the hyperbolic tangent function,</p>
+<p><img class="formulaInl" alt="$f(x) = \tanh x = \frac{\exp(2x) - 1}{\exp(2x) + 1}$" src="form_51.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Scalar input. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of transforming the input to fall between -1 and 1. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="corr__constrain_8hpp_source.html#l00025">25</a> of file <a class="el" href="corr__constrain_8hpp_source.html">corr_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a40c9589bc6f6d15d7455de5ad453c8e6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::corr_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of transforming the specified scalar to have a valid correlation value between -1 and 1 (inclusive). </p>
+<p>The transform used is as specified for <code><a class="el" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1" title="Return the result of transforming the specified scalar to have a valid correlation value between -1 a...">corr_constrain(T)</a></code>. The log absolute Jacobian determinant is</p>
+<p><img class="formulaInl" alt="$\log | \frac{d}{dx} \tanh x | = \log (1 - \tanh^2 x)$" src="form_52.png"/>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="corr__constrain_8hpp_source.html#l00043">43</a> of file <a class="el" href="corr__constrain_8hpp_source.html">corr_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9322e1f1baeb5a192c4972dbec311b4e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::corr_free </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the unconstrained scalar that when transformed to a valid correlation produces the specified value. </p>
+<p>This function inverts the transform defined for <code><a class="el" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1" title="Return the result of transforming the specified scalar to have a valid correlation value between -1 a...">corr_constrain(T)</a></code>, which is the inverse hyperbolic tangent,</p>
+<p><img class="formulaInl" alt="$ f^{-1}(y) = \mbox{atanh}\, y = \frac{1}{2} \log \frac{y + 1}{y - 1}$" src="form_53.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Correlation scalar input. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Free scalar that transforms to the specified input. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="corr__free_8hpp_source.html#l00029">29</a> of file <a class="el" href="corr__free_8hpp_source.html">corr_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8321b61db6a84b5d9041777643d53550"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::corr_matrix_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">typename <a class="el" href="structstan_1_1math_1_1index__type.html">math::index_type</a>&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>k</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the correlation matrix of the specified dimensionality derived from the specified vector of unconstrained values. </p>
+<p>The input vector must be of length <img class="formulaInl" alt="${k \choose 2} = \frac{k(k-1)}{2}$" src="form_12.png"/>. The values in the input vector represent unconstrained (partial) correlations among the dimensions.</p>
+<p>The transform based on partial correlations is as specified in</p>
+<ul>
+<li>
+Lewandowski, Daniel, Dorota Kurowicka, and Harry Joe. 2009. Generating random correlation matrices based on vines and extended onion method. <em>Journal of Multivariate Analysis</em> <b>100</b>:1989–-2001. </li>
+</ul>
+<p>The free vector entries are first constrained to be valid correlation values using <code><a class="el" href="namespacestan_1_1math.html#a6a3c8aa139b956593524b01f21c971a1" title="Return the result of transforming the specified scalar to have a valid correlation value between -1 a...">corr_constrain(T)</a></code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector of unconstrained partial correlations. </td></tr>
+    <tr><td class="paramname">k</td><td>Dimensionality of returned correlation matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td>if x is not a valid correlation matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="corr__matrix__constrain_8hpp_source.html#l00040">40</a> of file <a class="el" href="corr__matrix__constrain_8hpp_source.html">corr_matrix_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a65f2b4839829eda2b539a09da332a7fa"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::corr_matrix_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">typename <a class="el" href="structstan_1_1math_1_1index__type.html">math::index_type</a>&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>k</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the correlation matrix of the specified dimensionality derived from the specified vector of unconstrained values. </p>
+<p>The input vector must be of length <img class="formulaInl" alt="${k \choose 2} = \frac{k(k-1)}{2}$" src="form_12.png"/>. The values in the input vector represent unconstrained (partial) correlations among the dimensions.</p>
+<p>The transform is as specified for <code>corr_matrix_constrain(Matrix, size_t)</code>; the paper it cites also defines the Jacobians for correlation inputs, which are composed with the correlation constrained Jacobians defined in <code>corr_constrain(T, double)</code> for this function.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector of unconstrained partial correlations. </td></tr>
+    <tr><td class="paramname">k</td><td>Dimensionality of returned correlation matrix. </td></tr>
+    <tr><td class="paramname">lp</td><td>Log probability reference to increment. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="corr__matrix__constrain_8hpp_source.html#l00078">78</a> of file <a class="el" href="corr__matrix__constrain_8hpp_source.html">corr_matrix_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34f63590ae0c736b6113d578d0899da1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::corr_matrix_free </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the vector of unconstrained partial correlations that define the specified correlation matrix when transformed. </p>
+<p>The constraining transform is defined as for <code>corr_matrix_constrain(Matrix, size_t)</code>. The inverse transform in this function is simpler in that it only needs to compute the <img class="formulaInl" alt="$k \choose 2$" src="form_13.png"/> partial correlations and then free those.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>The correlation matrix to free. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Vector of unconstrained values that produce the specified correlation matrix when transformed. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if the correlation matrix has no elements or is not a square matrix. </td></tr>
+    <tr><td class="paramname">std::runtime_error</td><td>if the correlation matrix cannot be factorized by <a class="el" href="namespacestan_1_1math.html#a9d6ef71b2e1a2a216a031d8403458bdd" title="This function is intended to make starting values, given a covariance matrix Sigma. ">factor_cov_matrix()</a> or if the sds returned by <a class="el" href="namespacestan_1_1math.html#a9d6ef71b2e1a2a216a031d8403458bdd" title="This function is intended to make starting values, given a covariance matrix Sigma. ">factor_cov_matrix()</a> on log scale are unconstrained. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="corr__matrix__free_8hpp_source.html#l00039">39</a> of file <a class="el" href="corr__matrix__free_8hpp_source.html">corr_matrix_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae6cb3a9041ae0b7855b398c3e11cda48"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::cos </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2cos_8hpp_source.html#l00013">13</a> of file <a class="el" href="fwd_2scal_2fun_2cos_8hpp_source.html">cos.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0f3ac00ed58d998daed7f4d97195e967"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::cos </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the cosine of a radian-scaled variable (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \cos x = - \sin x$" src="form_299.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{cos}(x) = \begin{cases} \cos(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_300.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{cos}(x)}{\partial x} = \begin{cases} -\sin(x) &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_301.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable for radians of angle. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cosine of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2cos_8hpp_source.html#l00049">49</a> of file <a class="el" href="rev_2scal_2fun_2cos_8hpp_source.html">cos.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aee4fa5213b343a52756c138107ac180b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::cosh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2cosh_8hpp_source.html#l00013">13</a> of file <a class="el" href="fwd_2scal_2fun_2cosh_8hpp_source.html">cosh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab2a43fcaf01cfef4c73074e77390a205"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::cosh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the hyperbolic cosine of the specified variable (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \cosh x = \sinh x$" src="form_302.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{cosh}(x) = \begin{cases} \cosh(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_303.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{cosh}(x)}{\partial x} = \begin{cases} \sinh(x) &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_304.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Hyperbolic cosine of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2cosh_8hpp_source.html#l00050">50</a> of file <a class="el" href="rev_2scal_2fun_2cosh_8hpp_source.html">cosh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1ad6b90cf2d3d3d25d2cf64a12effede"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::cov_matrix_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">typename <a class="el" href="structstan_1_1math_1_1index__type.html">math::index_type</a>&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>K</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the symmetric, positive-definite matrix of dimensions K by K resulting from transforming the specified finite vector of size K plus (K choose 2). </p>
+<p>See <code><a class="el" href="namespacestan_1_1math.html#a485d3c2cd12e516bb13a1d48f9a43386" title="The covariance matrix derived from the symmetric view of the lower-triangular view of the K by K spec...">cov_matrix_free()</a></code> for the inverse transform.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>The vector to convert to a covariance matrix. </td></tr>
+    <tr><td class="paramname">K</td><td>The number of rows and columns of the resulting covariance matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if (<a class="el" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462" title="Return the size of the specified standard vector. ">x.size()</a> != K + (K choose 2)). </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="cov__matrix__constrain_8hpp_source.html#l00031">31</a> of file <a class="el" href="cov__matrix__constrain_8hpp_source.html">cov_matrix_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a417c6032fe62186f7c8fb5452e4173d8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::cov_matrix_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">typename <a class="el" href="structstan_1_1math_1_1index__type.html">math::index_type</a>&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::type&#160;</td>
+          <td class="paramname"><em>K</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the symmetric, positive-definite matrix of dimensions K by K resulting from transforming the specified finite vector of size K plus (K choose 2). </p>
+<p>See <code><a class="el" href="namespacestan_1_1math.html#a485d3c2cd12e516bb13a1d48f9a43386" title="The covariance matrix derived from the symmetric view of the lower-triangular view of the K by K spec...">cov_matrix_free()</a></code> for the inverse transform.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>The vector to convert to a covariance matrix. </td></tr>
+    <tr><td class="paramname">K</td><td>The dimensions of the resulting covariance matrix. </td></tr>
+    <tr><td class="paramname">lp</td><td>Reference </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if (<a class="el" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462" title="Return the size of the specified standard vector. ">x.size()</a> != K + (K choose 2)). </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="cov__matrix__constrain_8hpp_source.html#l00071">71</a> of file <a class="el" href="cov__matrix__constrain_8hpp_source.html">cov_matrix_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6e398c69a5845680ca945fa9ec6ec401"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::cov_matrix_constrain_lkj </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>k</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the covariance matrix of the specified dimensionality derived from constraining the specified vector of unconstrained values. </p>
+<p>The input vector must be of length <img class="formulaInl" alt="$k \choose 2 + k$" src="form_14.png"/>. The first <img class="formulaInl" alt="$k \choose 2$" src="form_13.png"/> values in the input represent unconstrained (partial) correlations and the last <img class="formulaInl" alt="$k$" src="form_15.png"/> are unconstrained standard deviations of the dimensions.</p>
+<p>The transform scales the correlation matrix transform defined in <code>corr_matrix_constrain(Matrix, size_t)</code> with the constrained deviations.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Input vector of unconstrained partial correlations and standard deviations. </td></tr>
+    <tr><td class="paramname">k</td><td>Dimensionality of returned covariance matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Covariance matrix derived from the unconstrained partial correlations and deviations. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="cov__matrix__constrain__lkj_8hpp_source.html#l00034">34</a> of file <a class="el" href="cov__matrix__constrain__lkj_8hpp_source.html">cov_matrix_constrain_lkj.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad179abe18f235b3000ad7a000b3abb29"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::cov_matrix_constrain_lkj </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>k</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the covariance matrix of the specified dimensionality derived from constraining the specified vector of unconstrained values and increment the specified log probability reference with the log absolute Jacobian determinant. </p>
+<p>The transform is defined as for <code>cov_matrix_constrain(Matrix, size_t)</code>.</p>
+<p>The log absolute Jacobian determinant is derived by composing the log absolute Jacobian determinant for the underlying correlation matrix as defined in <code>cov_matrix_constrain(Matrix, size_t, T&amp;)</code> with the Jacobian of the transfrom of the correlation matrix into a covariance matrix by scaling by standard deviations.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Input vector of unconstrained partial correlations and standard deviations. </td></tr>
+    <tr><td class="paramname">k</td><td>Dimensionality of returned covariance matrix. </td></tr>
+    <tr><td class="paramname">lp</td><td>Log probability reference to increment. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Covariance matrix derived from the unconstrained partial correlations and deviations. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="cov__matrix__constrain__lkj_8hpp_source.html#l00073">73</a> of file <a class="el" href="cov__matrix__constrain__lkj_8hpp_source.html">cov_matrix_constrain_lkj.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a485d3c2cd12e516bb13a1d48f9a43386"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::cov_matrix_free </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The covariance matrix derived from the symmetric view of the lower-triangular view of the K by K specified matrix is freed to return a vector of size K + (K choose 2). </p>
+<p>This is the inverse of the <code><a class="el" href="namespacestan_1_1math.html#a1ad6b90cf2d3d3d25d2cf64a12effede" title="Return the symmetric, positive-definite matrix of dimensions K by K resulting from transforming the s...">cov_matrix_constrain()</a></code> function so that for any finite vector <code>x</code> of size K</p><ul>
+<li>(K choose 2),</li>
+</ul>
+<p><code>x == cov_matrix_free(cov_matrix_constrain(x, K))</code>.</p>
+<p>In order for this round-trip to work (and really for this function to work), the symmetric view of its lower-triangular view must be positive definite.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Matrix of dimensions K by K such that he symmetric view of the lower-triangular view is positive definite. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Vector of size K plus (K choose 2) in (-inf, inf) that produces </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if <code>y</code> is not square, has zero dimensionality, or has a non-positive diagonal element. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="cov__matrix__free_8hpp_source.html#l00037">37</a> of file <a class="el" href="cov__matrix__free_8hpp_source.html">cov_matrix_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9021324082d4241367fdd17da025a32d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::cov_matrix_free_lkj </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the vector of unconstrained partial correlations and deviations that transform to the specified covariance matrix. </p>
+<p>The constraining transform is defined as for <code>cov_matrix_constrain(Matrix, size_t)</code>. The inverse first factors out the deviations, then applies the freeing transfrom of <code>corr_matrix_free(Matrix&amp;)</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Covariance matrix to free. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Vector of unconstrained values that transforms to the specified covariance matrix. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if the correlation matrix has no elements or is not a square matrix. </td></tr>
+    <tr><td class="paramname">std::runtime_error</td><td>if the correlation matrix cannot be factorized by <a class="el" href="namespacestan_1_1math.html#a9d6ef71b2e1a2a216a031d8403458bdd" title="This function is intended to make starting values, given a covariance matrix Sigma. ">factor_cov_matrix()</a> </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="cov__matrix__free__lkj_8hpp_source.html#l00032">32</a> of file <a class="el" href="cov__matrix__free__lkj_8hpp_source.html">cov_matrix_free_lkj.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abd303ef11dc0c73cda2f743a3b67fbf1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, C, C&gt; stan::math::crossprod </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2crossprod_8hpp_source.html#l00017">17</a> of file <a class="el" href="fwd_2mat_2fun_2crossprod_8hpp_source.html">crossprod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a62cc3a137ff3220bdd0137a52a4b9714"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">matrix_d</a> stan::math::crossprod </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">matrix_d</a> &amp;&#160;</td>
+          <td class="paramname"><em>M</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the result of pre-multiplying a matrix by its own transpose. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">M</td><td>Matrix to multiply. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Transpose of M times M </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2crossprod_8hpp_source.html#l00017">17</a> of file <a class="el" href="prim_2mat_2fun_2crossprod_8hpp_source.html">crossprod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8605c80796abfc9c7082d001e8fd4501"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a> stan::math::crossprod </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a> &amp;&#160;</td>
+          <td class="paramname"><em>M</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the result of pre-multiplying a matrix by its own transpose. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">M</td><td>Matrix to multiply. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Transpose of M times M </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2crossprod_8hpp_source.html#l00017">17</a> of file <a class="el" href="rev_2mat_2fun_2crossprod_8hpp_source.html">crossprod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9e045cbd4b736cc0cf57025b1d8f72fe"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, Eigen::Dynamic, 1&gt; stan::math::csr_matrix_times_vector </td>
+          <td>(</td>
+          <td class="paramtype">const int &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>w</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>u</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="csr__matrix__times__vector_8hpp_source.html#l00079">79</a> of file <a class="el" href="csr__matrix__times__vector_8hpp_source.html">csr_matrix_times_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7340f6be8ae1e121c6d854005560fef5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;T&gt; stan::math::cumulative_sum </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the cumulative sum of the specified vector. </p>
+<p>The cumulative sum of a vector of values</p><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160; is the</div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;</div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;@code x[0], x[1] + x[2], ..., x[1] + , ..., + x[x.size()-1] </div>
+</div><!-- fragment --><dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type of vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector of values. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cumulative sum of values. </dd></dl>
+
+<p>Definition at line <a class="el" href="cumulative__sum_8hpp_source.html#l00023">23</a> of file <a class="el" href="cumulative__sum_8hpp_source.html">cumulative_sum.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a92fcacf229225bb313cf894cc1406a17"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, R, C&gt; stan::math::cumulative_sum </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the cumulative sum of the specified matrix. </p>
+<p>The cumulative sum is of the same type as the input and has values defined by</p>
+<div class="fragment"><div class="line">x(0), x(1) + x(2), ..., x(1) + , ..., + x(x.size()-1) </div>
+</div><!-- fragment --><dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type of matrix. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Matrix of values. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cumulative sum of values. </dd></dl>
+
+<p>Definition at line <a class="el" href="cumulative__sum_8hpp_source.html#l00049">49</a> of file <a class="el" href="cumulative__sum_8hpp_source.html">cumulative_sum.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1eaa439c773642486cf1b19ab721810d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::cvodes_check_flag </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>flag</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::string &amp;&#160;</td>
+          <td class="paramname"><em>func_name</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cvodes__utils_8hpp_source.html#l00023">23</a> of file <a class="el" href="cvodes__utils_8hpp_source.html">cvodes_utils.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a04f90e73bf6b6aee8376e29eca277527"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::cvodes_set_options </td>
+          <td>(</td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"><em>cvodes_mem</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>rel_tol</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>abs_tol</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">long int&#160;</td>
+          <td class="paramname"><em>max_num_steps</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cvodes__utils_8hpp_source.html#l00031">31</a> of file <a class="el" href="cvodes__utils_8hpp_source.html">cvodes_utils.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6214fcce7dba5e79a0acb0dc6180c06e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::cvodes_silent_err_handler </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>error_code</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>module</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">char *&#160;</td>
+          <td class="paramname"><em>msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"><em>eh_data</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="cvodes__utils_8hpp_source.html#l00018">18</a> of file <a class="el" href="cvodes__utils_8hpp_source.html">cvodes_utils.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a07efa0f5060e1cbb91ac02a3936b4a1f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_initial , typename T_param &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;std::vector&lt;typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T_initial, T_param&gt;::type&gt; &gt; stan::math::decouple_ode_states </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T_initial &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T_param &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Takes sensitivity output from integrators and returns results in precomputed_gradients format. </p>
+<p>Solution input vector size depends on requested sensitivities, which can be enabled for initials and parameters. For each sensitivity N states are computed. The input vector is expected to be ordered by states, i.e. first the N states, then optionally the N sensitivities for the initials (first the N states for the first initial and so on), finally the sensitivities for the M parameters follow optionally.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1_initial</td><td>type of scalars for initial values. </td></tr>
+    <tr><td class="paramname">T2_param</td><td>type of scalars for parameters. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">y</td><td>output from integrator in column-major format as a coupled system output </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y0</td><td>initial state. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>parameters </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>a vector of states for each entry in y in Stan var format </dd></dl>
+
+<p>Definition at line <a class="el" href="decouple__ode__states_8hpp_source.html#l00038">38</a> of file <a class="el" href="decouple__ode__states_8hpp_source.html">decouple_ode_states.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6b3e59d7a21e833495994a0fba56ebf7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;std::vector&lt;double&gt; &gt; stan::math::decouple_ode_states </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The decouple ODE states operation for the case of no sensitivities is equal to the indentity operation. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">y</td><td>output from integrator </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y0</td><td>initial state. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>parameters </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>y </dd></dl>
+
+<p>Definition at line <a class="el" href="decouple__ode__states_8hpp_source.html#l00089">89</a> of file <a class="el" href="decouple__ode__states_8hpp_source.html">decouple_ode_states.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0597dca74b96a4287c6f848489288d44"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::derivative </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>dfx_dx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the derivative of the specified univariate function at the specified argument. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Argument type </td></tr>
+    <tr><td class="paramname">F</td><td>Function type </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>Function </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">fx</td><td>Value of function applied to argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">dfx_dx</td><td>Value of derivative </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="derivative_8hpp_source.html#l00026">26</a> of file <a class="el" href="derivative_8hpp_source.html">derivative.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab65e9ab0e6f725c7e11068b0be2af84f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::determinant </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the determinant of the specified square matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Determinant of the matrix. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if matrix is not square. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2determinant_8hpp_source.html#l00018">18</a> of file <a class="el" href="prim_2mat_2fun_2determinant_8hpp_source.html">determinant.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a63ab2582fc9a5a31d3d4f38a6420174e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::determinant </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2determinant_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2mat_2fun_2determinant_8hpp_source.html">determinant.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a25cf09ca9596a572e5040deaecfba87f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::determinant </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2determinant_8hpp_source.html#l00066">66</a> of file <a class="el" href="rev_2mat_2fun_2determinant_8hpp_source.html">determinant.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8174ad2b40453c1bfcbdf59bf76e030d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::diag_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a square diagonal matrix with the specified vector of coefficients as the diagonal values. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Diagonal matrix with vector as diagonal values. </dd></dl>
+
+<p>Definition at line <a class="el" href="diag__matrix_8hpp_source.html#l00018">18</a> of file <a class="el" href="diag__matrix_8hpp_source.html">diag_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ada475ab6293a9b7e5d3e6c1f92315008"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R1, C1&gt; stan::math::diag_post_multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="diag__post__multiply_8hpp_source.html#l00014">14</a> of file <a class="el" href="diag__post__multiply_8hpp_source.html">diag_post_multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a97acdd27ef5fca2cd111010f6fccf6b8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R2, C2&gt; stan::math::diag_pre_multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="diag__pre__multiply_8hpp_source.html#l00014">14</a> of file <a class="el" href="diag__pre__multiply_8hpp_source.html">diag_pre_multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2e96160f66cf84ab9a4bae027645e5a5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::diagonal </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a column vector of the diagonal elements of the specified matrix. </p>
+<p>The matrix is not required to be square. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Diagonal of the matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="diagonal_8hpp_source.html#l00018">18</a> of file <a class="el" href="diagonal_8hpp_source.html">diagonal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a69702aaa101bf602072fa7bf5fccb48a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::digamma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2scal_2fun_2digamma_8hpp_source.html">digamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a366ba0d22b63d45054e4a022e4ffa994"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::digamma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2digamma_8hpp_source.html#l00024">24</a> of file <a class="el" href="rev_2scal_2fun_2digamma_8hpp_source.html">digamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5eb54ce92709046c6d168e851d2481c7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::digamma </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{digamma}(x) = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \Psi(x) &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_54.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{digamma}(x)}{\partial x} = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \frac{\partial\, \Psi(x)}{\partial x} &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_55.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \Psi(x)=\frac{\Gamma'(x)}{\Gamma(x)} \]" src="form_56.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \Psi(x)}{\partial x} = \frac{\Gamma''(x)\Gamma(x)-(\Gamma'(x))^2}{\Gamma^2(x)} \]" src="form_57.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html#l00039">39</a> of file <a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">digamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2b9073e39033e56eb31344091f0170fd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::dims </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>result</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="dims_8hpp_source.html#l00013">13</a> of file <a class="el" href="dims_8hpp_source.html">dims.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af95a2dcde478c06e3543511821618902"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::dims </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>result</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="dims_8hpp_source.html#l00018">18</a> of file <a class="el" href="dims_8hpp_source.html">dims.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a467589eef4220a87d457c8a268a1fd5d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::dims </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>result</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="dims_8hpp_source.html#l00025">25</a> of file <a class="el" href="dims_8hpp_source.html">dims.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a33777ee768c7032331ca8b92e5323384"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;int&gt; stan::math::dims </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="dims_8hpp_source.html#l00034">34</a> of file <a class="el" href="dims_8hpp_source.html">dims.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a301c4fce1eeb151070f72a81c33ccde4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_prob , typename T_prior_sample_size &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob, T_prior_sample_size&gt;::type stan::math::dirichlet_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prior_sample_size, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of the Dirichlet density for the given theta and a vector of prior sample sizes, alpha. </p>
+<p>Each element of alpha must be greater than 0. Each element of theta must be greater than or 0. Theta sums to 1.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} \theta &amp;\sim&amp; \mbox{\sf{Dirichlet}} (\alpha_1, \ldots, \alpha_k) \\ \log (p (\theta \, |\, \alpha_1, \ldots, \alpha_k) ) &amp;=&amp; \log \left( \frac{\Gamma(\alpha_1 + \cdots + \alpha_k)}{\Gamma(\alpha_1) \cdots \Gamma(\alpha_k)} \theta_1^{\alpha_1 - 1} \cdots \theta_k^{\alpha_k - 1} \right) \\ &amp;=&amp; \log (\Gamma(\alpha_1 + \cdots + \alpha_k)) - \log(\Gamma(\alpha_1)) - \cdots - \log(\Gamma(\alpha_k)) + (\alpha_1 - 1) \log (\theta_1) + \cdots + (\alpha_k - 1) \log (\theta_k) \end{eqnarray*}" src="form_20.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">theta</td><td>A scalar vector. </td></tr>
+    <tr><td class="paramname">alpha</td><td>Prior sample sizes. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the Dirichlet density. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if any element of alpha is less than or equal to 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if any element of theta is less than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if the sum of theta is not 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_prob</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_prior_sample_size</td><td>Type of prior sample sizes. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="dirichlet__log_8hpp_source.html#l00046">46</a> of file <a class="el" href="dirichlet__log_8hpp_source.html">dirichlet_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a610a90b8b664189d397c8549c2aa0214"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_prob , typename T_prior_sample_size &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob, T_prior_sample_size&gt;::type stan::math::dirichlet_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prior_sample_size, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="dirichlet__log_8hpp_source.html#l00079">79</a> of file <a class="el" href="dirichlet__log_8hpp_source.html">dirichlet_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acb288324f889b7da57f2960570f459ea"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::VectorXd stan::math::dirichlet_rng </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a draw from a Dirichlet distribution with specified parameters and pseudo-random number generator. </p>
+<p>For prior counts greater than zero, the usual algorithm that draws gamma variates and normalizes is used.</p>
+<p>For prior counts less than zero (i.e., parameters with value less than one), a log-scale version of the following algorithm is used to deal with underflow:</p>
+<blockquote class="doxtable">
+<p>G. Marsaglia and W. Tsang. A simple method for generating gamma variables. ACM Transactions on Mathematical Software. 26(3):363&ndash;372, 2000. </p>
+</blockquote>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">RNG</td><td>Type of pseudo-random number generator. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">alpha</td><td>Prior count (plus 1) parameter for Dirichlet. </td></tr>
+    <tr><td class="paramname">rng</td><td>Pseudo-random number generator. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="dirichlet__rng_8hpp_source.html#l00046">46</a> of file <a class="el" href="dirichlet__rng_8hpp_source.html">dirichlet_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae86020a972c6efc6b3407c3cfc30f4a6"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::dist </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="dist_8hpp_source.html#l00011">11</a> of file <a class="el" href="dist_8hpp_source.html">dist.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acc0a62287bdf0c0420386fccc0a13ca9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T1, T2&gt;::type stan::math::distance </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the distance between the specified vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v1</td><td>First vector. </td></tr>
+    <tr><td class="paramname">v2</td><td>Second vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dot product of the vectors. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the vectors are not the same size or if they are both not vector dimensioned. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="distance_8hpp_source.html#l00025">25</a> of file <a class="el" href="distance_8hpp_source.html">distance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab1f35909d12ac43b74d180a49d68b674"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::divide </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html">divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a685d66ce770eb99e2f3a89624629aa7e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T1, T2&gt;::type stan::math::divide </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the division of the first scalar by the second scalar. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Specified vector. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y</td><td>Specified scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Vector divided by the scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2divide_8hpp_source.html#l00020">20</a> of file <a class="el" href="prim_2scal_2fun_2divide_8hpp_source.html">divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a082ee76b34a2ea656d2c8ab9186c1a2b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;boost::is_arithmetic&lt;T&gt;::value, Eigen::Matrix&lt;double, R, C&gt; &gt;::type stan::math::divide </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return specified matrix divided by specified scalar. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">R</td><td>Row type for matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type for matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Matrix. </td></tr>
+    <tr><td class="paramname">c</td><td>Scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Matrix divided by scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2divide_8hpp_source.html#l00023">23</a> of file <a class="el" href="prim_2mat_2fun_2divide_8hpp_source.html">divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a818fcac13304ea5c8679b3fc38e51ac1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C&gt; stan::math::divide </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the division of the specified column vector by the specified scalar. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>Specified vector. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">c</td><td>Specified scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Vector divided by the scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2divide_8hpp_source.html#l00023">23</a> of file <a class="el" href="rev_2mat_2fun_2divide_8hpp_source.html">divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aaf04cebee51d38a543e0ec689ae1399c"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::divide </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2divide_8hpp_source.html#l00024">24</a> of file <a class="el" href="prim_2scal_2fun_2divide_8hpp_source.html">divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abfbe71733db295fc195305aee8437732"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::divide </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html#l00027">27</a> of file <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html">divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab549dab5e1bff51b30678fbd8d1f8a41"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::divide </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html#l00039">39</a> of file <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html">divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3832e36ec9ea72ce740753adb3b0d132"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">T_shape stan::math::do_lkj_constant </td>
+          <td>(</td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>eta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const unsigned int &amp;&#160;</td>
+          <td class="paramname"><em>K</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lkj__corr__log_8hpp_source.html#l00053">53</a> of file <a class="el" href="lkj__corr__log_8hpp_source.html">lkj_corr_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeebafad688145fc64353e4f455d014bd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::domain_error </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Throw a domain error with a consistently formatted message. </p>
+<p>This is an abstraction for all Stan functions to use when throwing domain errors. This will allow us to change the behavior for all functions at once. (We've already changed behavior mulitple times up to Stan v2.5.0.)</p>
+<p>The message is: "&lt;function&gt;: &lt;name&gt; &lt;msg1&gt;&lt;y&gt;&lt;msg2&gt;"</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Name of the function </td></tr>
+    <tr><td class="paramname">name</td><td>Name of the variable </td></tr>
+    <tr><td class="paramname">y</td><td>Variable </td></tr>
+    <tr><td class="paramname">msg1</td><td>Message to print before the variable </td></tr>
+    <tr><td class="paramname">msg2</td><td>Message to print after the variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="domain__error_8hpp_source.html#l00032">32</a> of file <a class="el" href="domain__error_8hpp_source.html">domain_error.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a108d489a4a749c8e429b519d9e26c157"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::domain_error </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg1</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Throw a domain error with a consistently formatted message. </p>
+<p>This is an abstraction for all Stan functions to use when throwing domain errors. This will allow us to change the behavior for all functions at once. (We've already changed behavior mulitple times up to Stan v2.5.0.)</p>
+<p>The message is: "&lt;function&gt;: &lt;name&gt; &lt;msg1&gt;&lt;y&gt;"</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Name of the function </td></tr>
+    <tr><td class="paramname">name</td><td>Name of the variable </td></tr>
+    <tr><td class="paramname">y</td><td>Variable </td></tr>
+    <tr><td class="paramname">msg1</td><td>Message to print before the variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="domain__error_8hpp_source.html#l00067">67</a> of file <a class="el" href="domain__error_8hpp_source.html">domain_error.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7c23bfe9ebcb5747ed175a59b2182072"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::domain_error_vec </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Throw a domain error with a consistently formatted message. </p>
+<p>This is an abstraction for all Stan functions to use when throwing domain errors. This will allow us to change the behavior for all functions at once. (We've already changed behavior mulitple times up to Stan v2.5.0.)</p>
+<p>The message is: "&lt;function&gt;: &lt;name&gt;[&lt;i+error_index&gt;] &lt;msg1&gt;&lt;y&gt;" where <a class="el" href="structstan_1_1error__index.html">error_index</a> is the value of <a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a> which indicates whether the message should be 0 or 1 indexed.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Name of the function </td></tr>
+    <tr><td class="paramname">name</td><td>Name of the variable </td></tr>
+    <tr><td class="paramname">y</td><td>Variable </td></tr>
+    <tr><td class="paramname">i</td><td>Index </td></tr>
+    <tr><td class="paramname">msg1</td><td>Message to print before the variable </td></tr>
+    <tr><td class="paramname">msg2</td><td>Message to print after the variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="domain__error__vec_8hpp_source.html#l00038">38</a> of file <a class="el" href="domain__error__vec_8hpp_source.html">domain_error_vec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae3f55be80da8ff729d5850c653d2b28d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::domain_error_vec </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Throw a domain error with a consistently formatted message. </p>
+<p>This is an abstraction for all Stan functions to use when throwing domain errors. This will allow us to change the behavior for all functions at once. (We've already changed behavior mulitple times up to Stan v2.5.0.)</p>
+<p>The message is: "&lt;function&gt;: &lt;name&gt;[&lt;i+error_index&gt;] &lt;msg1&gt;&lt;y&gt;" where <a class="el" href="structstan_1_1error__index.html">error_index</a> is the value of <a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a> which indicates whether the message should be 0 or 1 indexed.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Name of the function </td></tr>
+    <tr><td class="paramname">name</td><td>Name of the variable </td></tr>
+    <tr><td class="paramname">y</td><td>Variable </td></tr>
+    <tr><td class="paramname">i</td><td>Index </td></tr>
+    <tr><td class="paramname">msg</td><td>Message to print before the variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="domain__error__vec_8hpp_source.html#l00073">73</a> of file <a class="el" href="domain__error__vec_8hpp_source.html">domain_error_vec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd3b73319bd8df9dad1d3902997d8e89"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::dot </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="dot_8hpp_source.html#l00011">11</a> of file <a class="el" href="dot_8hpp_source.html">dot.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a495321127b7e0ebdd4d52654d226e16b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00020">20</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af8d73851895fb151fdf79e55bf33e98e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product of the specified vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v1</td><td>First vector. </td></tr>
+    <tr><td class="paramname">v2</td><td>Second vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dot product of the vectors. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the vectors are not the same size or if they are both not vector dimensioned. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html#l00022">22</a> of file <a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a58da447df259e9e092e8fd910b338e1f"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const double *&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double *&#160;</td>
+          <td class="paramname"><em>v2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>length</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product of the specified arrays of doubles. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v1</td><td>First array. </td></tr>
+    <tr><td class="paramname">v2</td><td>Second array. </td></tr>
+    <tr><td class="paramname">length</td><td>Length of both arrays. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html#l00037">37</a> of file <a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af55524d5b711066af73968df35ddeb2c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00037">37</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab7cd93708bf432b3bd3d284958972ede"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product of the specified arrays of doubles. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v1</td><td>First array. </td></tr>
+    <tr><td class="paramname">v2</td><td>Second array. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if the vectors are not the same size. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html#l00050">50</a> of file <a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a74f6624e3a637cb98d3ae10a42a44135"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
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+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00054">54</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4a386f813bee88dc6d771ba0f0c90f82"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> &amp;&#160;</td>
+          <td class="paramname"><em>length</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00071">71</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af58d380f8784b977f1372ca00caa779e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> &amp;&#160;</td>
+          <td class="paramname"><em>length</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
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+        </tr>
+      </table>
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+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00086">86</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7893eb903c5877be710060cc1f733ece"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
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+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>, </td>
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+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> &amp;&#160;</td>
+          <td class="paramname"><em>length</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
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+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00101">101</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
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+</div>
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+<a class="anchor" id="a3dfb7deab1e93815803096f298e722a3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
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+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00116">116</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
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+</div>
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+<a class="anchor" id="ade870e95240c98560c7146fc1569811e"></a>
+<div class="memitem">
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+<table class="mlabels">
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+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00130">130</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a092173dbe404bf00d732a86b18ed7cc0"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
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+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00144">144</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4d2848b5eca56fff0922803874f97b58"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> &amp;&#160;</td>
+          <td class="paramname"><em>length</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00158">158</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af6af240b31f8d6bc2c9acce4b8fc3ebd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> &amp;&#160;</td>
+          <td class="paramname"><em>length</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00170">170</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a590dde9498d871fff74858d1f7ef2667"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> &amp;&#160;</td>
+          <td class="paramname"><em>length</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00182">182</a> of file <a class="el" href="fwd_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad70b6ae039b48ca04b071daf5e265363"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;boost::is_same&lt;T1, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;T2, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::type stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v1</td><td>First column vector. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">v2</td><td>Second column vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dot product of the vectors. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if length of v1 is not equal to length of v2. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html#l00212">212</a> of file <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afc208771c9df3e3e96901fb27a05dde0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;boost::is_same&lt;T1, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;T2, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::type stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const T1 *&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 *&#160;</td>
+          <td class="paramname"><em>v2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>length</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v1</td><td>First array. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">v2</td><td>Second array. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">length</td><td>Length of both arrays. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dot product of the arrays. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html#l00233">233</a> of file <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a07462a84486826d0b7fe3cfebb51d386"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;boost::is_same&lt;T1, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;T2, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::type stan::math::dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v1</td><td>First vector. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">v2</td><td>Second vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dot product of the vectors. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if sizes of v1 and v2 do not match. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html#l00249">249</a> of file <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8a6a4ef7c701db7984297d153580c8d4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::dot_self </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2arr_2fun_2dot__self_8hpp_source.html#l00011">11</a> of file <a class="el" href="prim_2arr_2fun_2dot__self_8hpp_source.html">dot_self.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1edae52ce70f3f0a9f7eb15f3416007c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::dot_self </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2dot__self_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2mat_2fun_2dot__self_8hpp_source.html">dot_self.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac81ab85d390fcb594884773a85fac657"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::dot_self </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product of the specified vector with itself. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">R</td><td>number of rows or <code>Eigen::Dynamic</code> for dynamic </td></tr>
+    <tr><td class="paramname">C</td><td>number of rows or <code>Eigen::Dyanmic</code> for dynamic </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If v is not vector dimensioned. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2dot__self_8hpp_source.html#l00018">18</a> of file <a class="el" href="prim_2mat_2fun_2dot__self_8hpp_source.html">dot_self.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="add9f13b58d14d7b7b8cc43ab30a434d0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::dot_self </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product of a vector with itself. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>Vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dot product of the vector with itself. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">R</td><td>number of rows or <code>Eigen::Dynamic</code> for dynamic; one of R or C must be 1 </td></tr>
+    <tr><td class="paramname">C</td><td>number of rows or <code>Eigen::Dyanmic</code> for dynamic; one of R or C must be 1 </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2dot__self_8hpp_source.html#l00080">80</a> of file <a class="el" href="rev_2mat_2fun_2dot__self_8hpp_source.html">dot_self.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab670b33f7d9f8cd15406cce67ffbe2c9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::double_exponential_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="double__exponential__ccdf__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="double__exponential__ccdf__log_8hpp_source.html">double_exponential_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a658493a49a4e83ac55393a5d43c47ba7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::double_exponential_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculates the double exponential cumulative density function. </p>
+<p><img class="formulaInl" alt="$ f(y|\mu, \sigma) = \begin{cases} \ \frac{1}{2} \exp\left(\frac{y-\mu}{\sigma}\right), \mbox{if } y < \mu \\ 1 - \frac{1}{2} \exp\left(-\frac{y-\mu}{\sigma}\right), \mbox{if } y \ge \mu \ \end{cases}$" src="form_193.png"/></p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variate. </td></tr>
+    <tr><td class="paramname">mu</td><td>The location parameter. </td></tr>
+    <tr><td class="paramname">sigma</td><td>The scale parameter.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The cumulative density function. </dd></dl>
+
+<p>Definition at line <a class="el" href="double__exponential__cdf_8hpp_source.html#l00040">40</a> of file <a class="el" href="double__exponential__cdf_8hpp_source.html">double_exponential_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa71f7d99df6f1817ad1badc771e30a5e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::double_exponential_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="double__exponential__cdf__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="double__exponential__cdf__log_8hpp_source.html">double_exponential_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a465bb5ed0b5bb209aa43f2ac71fc3597"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::double_exponential_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="double__exponential__log_8hpp_source.html#l00031">31</a> of file <a class="el" href="double__exponential__log_8hpp_source.html">double_exponential_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac96b2758687c3d1eab564e67d18f8922"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::double_exponential_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="double__exponential__log_8hpp_source.html#l00130">130</a> of file <a class="el" href="double__exponential__log_8hpp_source.html">double_exponential_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa6ebff3092eb40851fa1f63b7b7196f8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::double_exponential_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="double__exponential__rng_8hpp_source.html#l00023">23</a> of file <a class="el" href="double__exponential__rng_8hpp_source.html">double_exponential_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3b650a0131d41167ef4837ecc7d02be5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::e </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the base of the natural logarithm. </p>
+<dl class="section return"><dt>Returns</dt><dd>Base of natural logarithm. </dd></dl>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00095">95</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2e454ec91241f2f6e70aa05e7b7698ff"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::eigenvalues_sym </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the eigenvalues of the specified symmetric matrix in descending order of magnitude. </p>
+<p>This function is more efficient than the general eigenvalues function for symmetric matrices. </p>
+<p>See <code>eigen_decompose()</code> for more information. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Eigenvalues of matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="eigenvalues__sym_8hpp_source.html#l00022">22</a> of file <a class="el" href="eigenvalues__sym_8hpp_source.html">eigenvalues_sym.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9fd77067fef0a78dd5d8f9527969631e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::eigenvectors_sym </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="eigenvectors__sym_8hpp_source.html#l00013">13</a> of file <a class="el" href="eigenvectors__sym_8hpp_source.html">eigenvectors_sym.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a75c3cc187f569c795118c72bcc1e5c58"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt; stan::math::elt_divide </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the elementwise division of the specified matrices. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of scalars in first matrix. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of scalars in second matrix. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of both matrices. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of both matrices. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m1</td><td>First matrix </td></tr>
+    <tr><td class="paramname">m2</td><td>Second matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Elementwise division of matrices. </dd></dl>
+
+<p>Definition at line <a class="el" href="elt__divide_8hpp_source.html#l00025">25</a> of file <a class="el" href="elt__divide_8hpp_source.html">elt_divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adc5d04e1b1dde0ea7455380ec27d4528"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt; stan::math::elt_divide </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T2&#160;</td>
+          <td class="paramname"><em>s</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the elementwise division of the specified matrix by the specified scalar. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of scalars in the matrix. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of the scalar. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of the matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of the matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>matrix </td></tr>
+    <tr><td class="paramname">s</td><td>scalar </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Elementwise division of a scalar by matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="elt__divide_8hpp_source.html#l00051">51</a> of file <a class="el" href="elt__divide_8hpp_source.html">elt_divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad4d728ca306346624b833cee2777c23d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt; stan::math::elt_divide </td>
+          <td>(</td>
+          <td class="paramtype">T1&#160;</td>
+          <td class="paramname"><em>s</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the elementwise division of the specified scalar by the specified matrix. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of the scalar. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of scalars in the matrix. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of the matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of the matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">s</td><td>scalar </td></tr>
+    <tr><td class="paramname">m</td><td>matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Elementwise division of a scalar by matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="elt__divide_8hpp_source.html#l00069">69</a> of file <a class="el" href="elt__divide_8hpp_source.html">elt_divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2edc3d65b32928692984bd66a1b3bb56"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt; stan::math::elt_multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the elementwise multiplication of the specified matrices. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of scalars in first matrix. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of scalars in second matrix. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of both matrices. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of both matrices. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m1</td><td>First matrix </td></tr>
+    <tr><td class="paramname">m2</td><td>Second matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Elementwise product of matrices. </dd></dl>
+
+<p>Definition at line <a class="el" href="elt__multiply_8hpp_source.html#l00025">25</a> of file <a class="el" href="elt__multiply_8hpp_source.html">elt_multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a430f171295b91277dc60dfa2177c7c0b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static bool stan::math::empty_nested </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return true if there is no nested autodiff being executed. </p>
+
+<p>Definition at line <a class="el" href="empty__nested_8hpp_source.html#l00012">12</a> of file <a class="el" href="empty__nested_8hpp_source.html">empty_nested.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa283efca22c0544054a6534443e6e762"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::erf </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2erf_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2erf_8hpp_source.html">erf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a759d52872682fdf0d6a7a6d75b4f1d9e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::erf </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The error function for variables (C99). </p>
+<p>For non-variable function, see <a class="el" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf()</a> from cmath.</p>
+<p>The derivative is</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \mbox{erf}(x) = \frac{2}{\sqrt{\pi}} \exp(-x^2)$" src="form_305.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{erf}(x) = \begin{cases} \operatorname{erf}(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_306.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{erf}(x)}{\partial x} = \begin{cases} \frac{\partial\, \operatorname{erf}(x)}{\partial x} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_307.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \operatorname{erf}(x)=\frac{2}{\sqrt{\pi}}\int_0^x e^{-t^2}dt \]" src="form_308.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \operatorname{erf}(x)}{\partial x} = \frac{2}{\sqrt{\pi}} e^{-x^2} \]" src="form_309.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>The variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Error function applied to the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2erf_8hpp_source.html#l00068">68</a> of file <a class="el" href="rev_2scal_2fun_2erf_8hpp_source.html">erf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab4c763e4f09069eed96a4e96e33ea8ea"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::erfc </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2erfc_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2erfc_8hpp_source.html">erfc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8a8543e9c729e794bcbdff2ed223eb45"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::erfc </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The complementary error function for variables (C99). </p>
+<p>For non-variable function, see <a class="el" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc()</a> from &lt;cmath&gt;.</p>
+<p>The derivative is</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \mbox{erfc}(x) = - \frac{2}{\sqrt{\pi}} \exp(-x^2)$" src="form_310.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{erfc}(x) = \begin{cases} \operatorname{erfc}(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_311.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{erfc}(x)}{\partial x} = \begin{cases} \frac{\partial\, \operatorname{erfc}(x)}{\partial x} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_312.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \operatorname{erfc}(x)=\frac{2}{\sqrt{\pi}}\int_x^\infty e^{-t^2}dt \]" src="form_313.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \operatorname{erfc}(x)}{\partial x} = -\frac{2}{\sqrt{\pi}} e^{-x^2} \]" src="form_314.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>The variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Complementary error function applied to the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2erfc_8hpp_source.html#l00068">68</a> of file <a class="el" href="rev_2scal_2fun_2erfc_8hpp_source.html">erfc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a11f31444e8584e4debf0d6b706d66880"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">10</a> of file <a class="el" href="fwd_2scal_2fun_2exp_8hpp_source.html">exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7ad4663394747a548b42f8cbe9def1f7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int Rows, int Cols&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Rows, Cols&gt; stan::math::exp </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Rows, Cols &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the element-wise exponentiation of the matrix or vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>The matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>ret(i, j) = exp(m(i, j)) </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2exp_8hpp_source.html#l00019">19</a> of file <a class="el" href="prim_2mat_2fun_2exp_8hpp_source.html">exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab3bd08f492d4ae400850ecb98b9b6cb9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int Rows, int Cols&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, Rows, Cols&gt; stan::math::exp </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Rows, Cols &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2exp_8hpp_source.html#l00028">28</a> of file <a class="el" href="prim_2mat_2fun_2exp_8hpp_source.html">exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae43b048d4a5f53f94501773c93689a65"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the exponentiation of the specified variable (cmath). </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{exp}(x) = \begin{cases} e^x &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_315.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{exp}(x)}{\partial x} = \begin{cases} e^x &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_316.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable to exponentiate. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Exponentiated variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2exp_8hpp_source.html#l00044">44</a> of file <a class="el" href="rev_2scal_2fun_2exp_8hpp_source.html">exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8c3a577694c8f584e56160580fe0821b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::exp2 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2exp2_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2exp2_8hpp_source.html">exp2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0ef734d7c3b8ebd689012295bf826e94"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::exp2 </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the exponent base 2 of the specified argument (C99). </p>
+<p>The exponent base 2 function is defined by</p>
+<p><code>exp2(y) = pow(2.0, y)</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Exponent base 2 of value. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2exp2_8hpp_source.html#l00023">23</a> of file <a class="el" href="prim_2scal_2fun_2exp2_8hpp_source.html">exp2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9fd4650bbf246a10ac798c71da8b99d5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::exp2 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Exponentiation base 2 function for variables (C99). </p>
+<p>For non-variable function, see <a class="el" href="namespacestan_1_1math.html#a9fd4650bbf246a10ac798c71da8b99d5" title="Exponentiation base 2 function for variables (C99). ">boost::math::exp2()</a>.</p>
+<p>The derivatie is</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} 2^x = (\log 2) 2^x$" src="form_317.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{exp2}(x) = \begin{cases} 2^x &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_318.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{exp2}(x)}{\partial x} = \begin{cases} 2^x\ln2 &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_319.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>The variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Two to the power of the specified variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2exp2_8hpp_source.html#l00052">52</a> of file <a class="el" href="rev_2scal_2fun_2exp2_8hpp_source.html">exp2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a497ff815eeadaffe3204d33359c4be82"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_inv_scale&gt;::type stan::math::exp_mod_normal_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="exp__mod__normal__ccdf__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="exp__mod__normal__ccdf__log_8hpp_source.html">exp_mod_normal_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2b29301645f48dedc57b97409062250c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_inv_scale&gt;::type stan::math::exp_mod_normal_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="exp__mod__normal__cdf_8hpp_source.html#l00026">26</a> of file <a class="el" href="exp__mod__normal__cdf_8hpp_source.html">exp_mod_normal_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad0e32ac964461952d77df48cd30c6f1d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_inv_scale&gt;::type stan::math::exp_mod_normal_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="exp__mod__normal__cdf__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="exp__mod__normal__cdf__log_8hpp_source.html">exp_mod_normal_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af27bb81f9220a9ba9082903fd55dff66"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_inv_scale&gt;::type stan::math::exp_mod_normal_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="exp__mod__normal__log_8hpp_source.html#l00027">27</a> of file <a class="el" href="exp__mod__normal__log_8hpp_source.html">exp_mod_normal_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a50a3cd94db2760437551ea466247cf8e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_inv_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_inv_scale&gt;::type stan::math::exp_mod_normal_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="exp__mod__normal__log_8hpp_source.html#l00141">141</a> of file <a class="el" href="exp__mod__normal__log_8hpp_source.html">exp_mod_normal_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a40d3c6fbf610e2c0e997a039f2ed98e8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::exp_mod_normal_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>lambda</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="exp__mod__normal__rng_8hpp_source.html#l00026">26</a> of file <a class="el" href="exp__mod__normal__rng_8hpp_source.html">exp_mod_normal_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8a76b658b94fcf8943f4fb41c586ec94"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::expm1 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2expm1_8hpp_source.html#l00012">12</a> of file <a class="el" href="fwd_2scal_2fun_2expm1_8hpp_source.html">expm1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8c632ff37556a4989fb351042da3a05a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::expm1 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The exponentiation of the specified variable minus 1 (C99). </p>
+<p>The derivative is given by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \exp(a) - 1 = \exp(a)$" src="form_320.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{expm1}(x) = \begin{cases} e^x-1 &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_321.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{expm1}(x)}{\partial x} = \begin{cases} e^x &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_322.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>The variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Two to the power of the specified variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2expm1_8hpp_source.html#l00057">57</a> of file <a class="el" href="rev_2scal_2fun_2expm1_8hpp_source.html">expm1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a42c92f31b24600c6ce05b4f21f54fb00"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_inv_scale&gt;::type stan::math::exponential_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="exponential__ccdf__log_8hpp_source.html#l00027">27</a> of file <a class="el" href="exponential__ccdf__log_8hpp_source.html">exponential_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac753dcf58b69f0bbf7b001bfe19a3e44"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_inv_scale&gt;::type stan::math::exponential_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculates the exponential cumulative distribution function for the given y and beta. </p>
+<p>Inverse scale parameter must be greater than 0. y must be greater than or equal to 0.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">beta</td><td>Inverse scale parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_inv_scale</td><td>Type of inverse scale. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="exponential__cdf_8hpp_source.html#l00040">40</a> of file <a class="el" href="exponential__cdf_8hpp_source.html">exponential_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8fbf986074ea063853c8d244c3c17e0f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_inv_scale&gt;::type stan::math::exponential_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="exponential__cdf__log_8hpp_source.html#l00028">28</a> of file <a class="el" href="exponential__cdf__log_8hpp_source.html">exponential_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="addcdf998d9f336fd9e4118acc6c7a129"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_inv_scale&gt;::type stan::math::exponential_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of an exponential density for y with the specified inverse scale parameter. </p>
+<p>Inverse scale parameter must be greater than 0. y must be greater than or equal to 0.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} y &amp;\sim&amp; \mbox{\sf{Expon}}(\beta) \\ \log (p (y \, |\, \beta) ) &amp;=&amp; \log \left( \beta \exp^{-\beta y} \right) \\ &amp;=&amp; \log (\beta) - \beta y \\ &amp; &amp; \mathrm{where} \; y > 0 \end{eqnarray*}" src="form_194.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">beta</td><td>Inverse scale parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if beta is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if y is not greater than or equal to 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_inv_scale</td><td>Type of inverse scale. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="exponential__log_8hpp_source.html#l00054">54</a> of file <a class="el" href="exponential__log_8hpp_source.html">exponential_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af3653c4e36237f4d7403af9f64abbcd2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_inv_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_inv_scale&gt;::type stan::math::exponential_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="exponential__log_8hpp_source.html#l00111">111</a> of file <a class="el" href="exponential__log_8hpp_source.html">exponential_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6cfcce609912c9a6e1b2fad1e5055a1d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::exponential_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>beta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="exponential__rng_8hpp_source.html#l00024">24</a> of file <a class="el" href="exponential__rng_8hpp_source.html">exponential_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ada2421cf831c518a6260f60d19eb5c32"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::F32 </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>d</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>e</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>z</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>precision</em> = <code>1e-6</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="_f32_8hpp_source.html#l00011">11</a> of file <a class="el" href="_f32_8hpp_source.html">F32.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6c79c9be5c64873b74f3c6924fef6911"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fabs </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fabs_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2fabs_8hpp_source.html">fabs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aea8428395b18c89bc01669915993b8e7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fabs </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the absolute value of the variable (cmath). </p>
+<p>Choosing an arbitrary value at the non-differentiable point 0,</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx}|x| = \mbox{sgn}(x)$" src="form_323.png"/>.</p>
+<p>where <img class="formulaInl" alt="$\mbox{sgn}(x)$" src="form_324.png"/> is the signum function, taking values -1 if <img class="formulaInl" alt="$x < 0$" src="form_325.png"/>, 0 if <img class="formulaInl" alt="$x == 0$" src="form_326.png"/>, and 1 if <img class="formulaInl" alt="$x == 1$" src="form_327.png"/>.</p>
+<p>The function <code><a class="el" href="namespacestan_1_1math.html#ae560b842e3ed6e5939dc2177bf158265">abs()</a></code> provides the same behavior, with <code><a class="el" href="namespacestan_1_1math.html#ae560b842e3ed6e5939dc2177bf158265">abs()</a></code> defined in stdlib.h and <code><a class="el" href="namespacestan_1_1math.html#a6c79c9be5c64873b74f3c6924fef6911">fabs()</a></code> defined in <code>cmath</code>. The derivative is 0 if the input is 0.</p>
+<p>Returns std::numeric_limits&lt;double&gt;::quiet_NaN() for NaN inputs.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{fabs}(x) = \begin{cases} |x| &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_328.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fabs}(x)}{\partial x} = \begin{cases} -1 &amp; \mbox{if } x < 0 \\ 0 &amp; \mbox{if } x = 0 \\ 1 &amp; \mbox{if } x > 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_329.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Input variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Absolute value of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fabs_8hpp_source.html#l00050">50</a> of file <a class="el" href="rev_2scal_2fun_2fabs_8hpp_source.html">fabs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9d6ef71b2e1a2a216a031d8403458bdd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::factor_cov_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>CPCs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>sds</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>This function is intended to make starting values, given a covariance matrix Sigma. </p>
+<p>The transformations are hard coded as log for standard deviations and Fisher transformations (<a class="el" href="namespacestan_1_1math.html#a9e31606b2cbc69573ec0d7693c8b2a2c">atanh()</a>) of CPCs</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">Sigma</td><td>covariance matrix </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">CPCs</td><td>fill this unbounded (does not resize) </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">sds</td><td>fill this unbounded (does not resize) </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>false if any of the diagonals of Sigma are 0 </dd></dl>
+
+<p>Definition at line <a class="el" href="factor__cov__matrix_8hpp_source.html#l00027">27</a> of file <a class="el" href="factor__cov__matrix_8hpp_source.html">factor_cov_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa6d09763679360f53f07ae20e8efc262"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::factor_U </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>U</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>CPCs</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>This function is intended to make starting values, given a unit upper-triangular matrix U such that U'DU is a correlation matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">U</td><td>Sigma matrix </td></tr>
+    <tr><td class="paramname">CPCs</td><td>fill this unbounded </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="factor___u_8hpp_source.html#l00029">29</a> of file <a class="el" href="factor___u_8hpp_source.html">factor_U.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aae3974a012285e3d020d46cc454812ed"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2falling__factorial_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2falling__factorial_8hpp_source.html">falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a203c9c81e4a4b48e47e052422fcf679d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2falling__factorial_8hpp_source.html#l00030">30</a> of file <a class="el" href="fwd_2scal_2fun_2falling__factorial_8hpp_source.html">falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5a3c08d051a8e4bc83c6ad9132af4099"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2falling__factorial_8hpp_source.html#l00043">43</a> of file <a class="el" href="fwd_2scal_2fun_2falling__factorial_8hpp_source.html">falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad65933117ab43cb486fb65023d8e5f3c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T1, T2&gt;::type stan::math::falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{falling\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ (x)_n &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_58.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{falling\_factorial}(x, n)}{\partial x} = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \frac{\partial\, (x)_n}{\partial x} &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_59.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{falling\_factorial}(x, n)}{\partial n} = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \frac{\partial\, (x)_n}{\partial n} &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_60.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ (x)_n=\frac{\Gamma(x+1)}{\Gamma(x-n+1)} \]" src="form_61.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, (x)_n}{\partial x} = (x)_n\Psi(x+1) \]" src="form_62.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, (x)_n}{\partial n} = -(x)_n\Psi(n+1) \]" src="form_63.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2falling__factorial_8hpp_source.html#l00054">54</a> of file <a class="el" href="prim_2scal_2fun_2falling__factorial_8hpp_source.html">falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a96fdf588b0a37df21c5b67ed7370b003"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2falling__factorial_8hpp_source.html#l00056">56</a> of file <a class="el" href="rev_2scal_2fun_2falling__factorial_8hpp_source.html">falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a78f5570887f609618c63c727afda46ba"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2falling__factorial_8hpp_source.html#l00061">61</a> of file <a class="el" href="rev_2scal_2fun_2falling__factorial_8hpp_source.html">falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="add6fa4b14f17cc4df149df09224a18b9"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2falling__factorial_8hpp_source.html#l00066">66</a> of file <a class="el" href="rev_2scal_2fun_2falling__factorial_8hpp_source.html">falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a535e91c206d8cfd9e61042c25108f23a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fdim </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fdim_8hpp_source.html#l00011">11</a> of file <a class="el" href="fwd_2scal_2fun_2fdim_8hpp_source.html">fdim.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9af93d6decc446332dedd367db295bcb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fdim </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fdim_8hpp_source.html#l00022">22</a> of file <a class="el" href="fwd_2scal_2fun_2fdim_8hpp_source.html">fdim.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7d2db622c0f83134b7f3ebd1eec3c1d6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T1, T2&gt;::type stan::math::fdim </td>
+          <td>(</td>
+          <td class="paramtype">T1&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T2&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The positive difference function (C99). </p>
+<p>The function is defined by</p>
+<p><code>fdim(a, b) = (a &gt; b) ? (a - b) : 0.0</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First value. </td></tr>
+    <tr><td class="paramname">b</td><td>Second value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Returns min(a - b, 0.0). </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2fdim_8hpp_source.html#l00026">26</a> of file <a class="el" href="prim_2scal_2fun_2fdim_8hpp_source.html">fdim.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9448d07d7e87cd638f65ce95350c0e8b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fdim </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fdim_8hpp_source.html#l00032">32</a> of file <a class="el" href="fwd_2scal_2fun_2fdim_8hpp_source.html">fdim.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6f899b184aa38d3a5f814518611a0666"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fdim </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the positive difference between the first variable's the value and the second's (C99). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#a535e91c206d8cfd9e61042c25108f23a">stan::math::fdim()</a> for the double-based version.</p>
+<p>The partial derivative with respect to the first argument is</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} \mbox{fdim}(x, y) = 0.0$" src="form_330.png"/> if <img class="formulaInl" alt="$x < y$" src="form_331.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} \mbox{fdim}(x, y) = 1.0$" src="form_332.png"/> if <img class="formulaInl" alt="$x \geq y$" src="form_333.png"/>.</p>
+<p>With respect to the second argument, the partial is</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} \mbox{fdim}(x, y) = 0.0$" src="form_334.png"/> if <img class="formulaInl" alt="$x < y$" src="form_331.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} \mbox{fdim}(x, y) = -\lfloor\frac{x}{y}\rfloor$" src="form_335.png"/> if <img class="formulaInl" alt="$x \geq y$" src="form_333.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{fdim}(x, y) = \begin{cases} 0 &amp; \mbox{if } x < y\\ x-y &amp; \mbox{if } x \geq y \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_336.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fdim}(x, y)}{\partial x} = \begin{cases} 0 &amp; \mbox{if } x < y \\ 1 &amp; \mbox{if } x \geq y \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_337.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fdim}(x, y)}{\partial y} = \begin{cases} 0 &amp; \mbox{if } x < y \\ -\lfloor\frac{x}{y}\rfloor &amp; \mbox{if } x \geq y \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_338.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The positive difference between the first and second variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fdim_8hpp_source.html#l00110">110</a> of file <a class="el" href="rev_2scal_2fun_2fdim_8hpp_source.html">fdim.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6fe00d070fb14766341060f7f0fe2627"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fdim </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the positive difference between the first value and the value of the second variable (C99). </p>
+<p>See fdim(var, var) for definitions of values and derivatives.</p>
+<p>The derivative with respect to the variable is</p>
+<p><img class="formulaInl" alt="$\frac{d}{d y} \mbox{fdim}(c, y) = 0.0$" src="form_339.png"/> if <img class="formulaInl" alt="$c < y$" src="form_340.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{d}{d y} \mbox{fdim}(c, y) = -\lfloor\frac{c}{y}\rfloor$" src="form_341.png"/> if <img class="formulaInl" alt="$c \geq y$" src="form_342.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First value. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The positive difference between the first and second arguments. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fdim_8hpp_source.html#l00135">135</a> of file <a class="el" href="rev_2scal_2fun_2fdim_8hpp_source.html">fdim.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a014a74412301cf66626baa1fe1491d94"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fdim </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the positive difference between the first variable's value and the second value (C99). </p>
+<p>See fdim(var, var) for definitions of values and derivatives.</p>
+<p>The derivative with respect to the variable is</p>
+<p><img class="formulaInl" alt="$\frac{d}{d x} \mbox{fdim}(x, c) = 0.0$" src="form_343.png"/> if <img class="formulaInl" alt="$x < c$" src="form_344.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{d}{d x} \mbox{fdim}(x, c) = 1.0$" src="form_345.png"/> if <img class="formulaInl" alt="$x \geq yc$" src="form_346.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First value. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The positive difference between the first and second arguments. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fdim_8hpp_source.html#l00158">158</a> of file <a class="el" href="rev_2scal_2fun_2fdim_8hpp_source.html">fdim.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6d362e53d3d40b61e68fdd08dc5eb38b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::fill </td>
+          <td>(</td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const S &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Fill the specified container with the specified value. </p>
+<p>This base case simply assigns the value to the container.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of reference container. </td></tr>
+    <tr><td class="paramname">S</td><td>Type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Container. </td></tr>
+    <tr><td class="paramname">y</td><td>Value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2fun_2fill_8hpp_source.html#l00018">18</a> of file <a class="el" href="scal_2fun_2fill_8hpp_source.html">fill.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa7f5d81c4d45f2407096def8810ffe00"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::fill </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const S &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Fill the specified container with the specified value. </p>
+<p>Each container in the specified standard vector is filled recursively by calling <code>fill</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of container in vector. </td></tr>
+    <tr><td class="paramname">S</td><td>Type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Container. </td></tr>
+    <tr><td class="paramname">y</td><td>Value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="arr_2fun_2fill_8hpp_source.html#l00022">22</a> of file <a class="el" href="arr_2fun_2fill_8hpp_source.html">fill.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a73e791042ed648602eed1754679feff4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C, typename S &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::fill </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const S &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Fill the specified container with the specified value. </p>
+<p>The specified matrix is filled by element.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar for matrix container. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of matrix. </td></tr>
+    <tr><td class="paramname">S</td><td>Type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Container. </td></tr>
+    <tr><td class="paramname">y</td><td>Value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2fill_8hpp_source.html#l00022">22</a> of file <a class="el" href="mat_2fun_2fill_8hpp_source.html">fill.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a138f3242eba971c17756586ace2c15d3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::finite_diff_grad_hessian </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double,-1, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double,-1,-1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>hess</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; Eigen::Matrix&lt; double,-1,-1 &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>grad_hess_fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>epsilon</em> = <code>1e-04</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculate the value and the gradient of the hessian of the specified function at the specified argument using second-order autodiff and first-order finite difference. </p>
+<p>The functor must implement</p>
+<p><code> double operator()(const Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp;) </code></p>
+<p>Reference:</p>
+<p>De Levie: An improved numerical approximation for the first derivative, page 3</p>
+<p>4 calls to the function, f.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>Function </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Argument to function </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">fx</td><td>Function applied to argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">hess</td><td>Hessian matrix </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">grad_hess_fx</td><td>gradient of Hessian of function at argument </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">epsilon</td><td>perturbation size </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="finite__diff__grad__hessian_8hpp_source.html#l00043">43</a> of file <a class="el" href="finite__diff__grad__hessian_8hpp_source.html">finite_diff_grad_hessian.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab34b9d54bbdc2b13f358a73a3dface45"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::finite_diff_gradient </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double,-1, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double,-1, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>grad_fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>epsilon</em> = <code>1e-03</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculate the value and the gradient of the specified function at the specified argument using finite difference. </p>
+<p>The functor must implement</p>
+<p><code> double operator()(const Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp;) </code></p>
+<p>Error should be on order of epsilon ^ 6. The reference for this algorithm is:</p>
+<p>De Levie: An improved numerical approximation for the first derivative, page 3</p>
+<p>This function involves 6 calls to f.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>Function </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Argument to function </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">fx</td><td>Function applied to argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">grad_fx</td><td>Gradient of function at argument </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">epsilon</td><td>perturbation size </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="finite__diff__gradient_8hpp_source.html#l00039">39</a> of file <a class="el" href="finite__diff__gradient_8hpp_source.html">finite_diff_gradient.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9cfae14a02b57bee53b454f64b58c0b1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::finite_diff_hess_helper </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>lambda</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>epsilon</em> = <code>1e-03</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="finite__diff__hessian_8hpp_source.html#l00013">13</a> of file <a class="el" href="finite__diff__hessian_8hpp_source.html">finite_diff_hessian.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8b6ed64f691a457cb6691d7b478b4a1d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::finite_diff_hessian </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double,-1, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double,-1, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>grad_fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double,-1,-1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>hess_fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>epsilon</em> = <code>1e-03</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculate the value and the Hessian of the specified function at the specified argument using second-order finite difference. </p>
+<p>The functor must implement</p>
+<p><code> double operator()(const Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp;) </code></p>
+<p>Error should be on order of epsilon ^ 4, with 4 calls to the function f.</p>
+<p>Reference: Eberly: Derivative Approximation by Finite Differences Page 6</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>Function </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Argument to function </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">fx</td><td>Function applied to argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">grad_fx</td><td>Gradient of function at argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">hess_fx</td><td>Hessian of function at argument </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">epsilon</td><td>perturbation size </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="finite__diff__hessian_8hpp_source.html#l00067">67</a> of file <a class="el" href="finite__diff__hessian_8hpp_source.html">finite_diff_hessian.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a16e5a2666b377e37fe807765ba5f6aaf"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::floor </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2floor_8hpp_source.html#l00011">11</a> of file <a class="el" href="fwd_2scal_2fun_2floor_8hpp_source.html">floor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a66dea6b6d18e39c5b0f38d3204aa04d5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::floor </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the floor of the specified variable (cmath). </p>
+<p>The derivative of the floor function is defined and zero everywhere but at integers, so we set these derivatives to zero for convenience,</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} {\lfloor x \rfloor} = 0$" src="form_347.png"/>.</p>
+<p>The floor function rounds down. For double values, this is the largest integral value that is not greater than the specified value. Although this function is not differentiable because it is discontinuous at integral values, its gradient is returned as zero everywhere.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{floor}(x) = \begin{cases} \lfloor x \rfloor &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_348.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{floor}(x)}{\partial x} = \begin{cases} 0 &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_349.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Input variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Floor of the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2floor_8hpp_source.html#l00060">60</a> of file <a class="el" href="rev_2scal_2fun_2floor_8hpp_source.html">floor.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad52e5d20122b9db1d2ec7c57417d19b3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T1, T2, T3&gt;::type&gt; stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T3 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The fused multiply-add operation (C99). </p>
+<p>This double-based operation delegates to <code>fma</code>.</p>
+<p>The function is defined by</p>
+<p><code>fma(a, b, c) = (a * b) + c</code>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{fma}(x, y, z) = \begin{cases} x\cdot y+z &amp; \mbox{if } -\infty\leq x, y, z \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_0.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fma}(x, y, z)}{\partial x} = \begin{cases} y &amp; \mbox{if } -\infty\leq x, y, z \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_1.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fma}(x, y, z)}{\partial y} = \begin{cases} x &amp; \mbox{if } -\infty\leq x, y, z \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_2.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fma}(x, y, z)}{\partial z} = \begin{cases} 1 &amp; \mbox{if } -\infty\leq x, y, z \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_3.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x1</td><td>First value. </td></tr>
+    <tr><td class="paramname">x2</td><td>Second value. </td></tr>
+    <tr><td class="paramname">x3</td><td>Third value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of the first two values plus the third. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html#l00061">61</a> of file <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abc95573545bf325172b18d2ec6b4f3f4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T1, T2, T3&gt;::type&gt; stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T3 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>See all-var input signature for details on the function and derivatives. </p>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html#l00074">74</a> of file <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aebb72eea615a5b2effad60c4f5c1ccbc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T1, T2, T3&gt;::type&gt; stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T3 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>See all-var input signature for details on the function and derivatives. </p>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html#l00086">86</a> of file <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1e283e1daef5282717309ddb1302d5dc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T1, T2, T3&gt;::type&gt; stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>See all-var input signature for details on the function and derivatives. </p>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html#l00098">98</a> of file <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a085357acaef6e7ac8f3e7d16e6b38aa3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T1, T2, T3&gt;::type&gt; stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T3 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>See all-var input signature for details on the function and derivatives. </p>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html#l00110">110</a> of file <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afaf7c6a98ccaf08b9964b9d9258c6d13"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T1, T2, T3&gt;::type&gt; stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>See all-var input signature for details on the function and derivatives. </p>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html#l00122">122</a> of file <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a31f25245e8d92c7e406808b1aad777a9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T1, T2, T3&gt;::type&gt; stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>See all-var input signature for details on the function and derivatives. </p>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html#l00134">134</a> of file <a class="el" href="fwd_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3f3ab44e4f8a8430bd1fd19e37101555"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The fused multiply-add function for three variables (C99). </p>
+<p>This function returns the product of the first two arguments plus the third argument.</p>
+<p>The double-based version <code>::fma(double, double, double)</code> is defined in <code>&lt;cmath&gt;</code>.</p>
+<p>The partial derivatives are</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} (x * y) + z = y$" src="form_350.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} (x * y) + z = x$" src="form_351.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial z} (x * y) + z = 1$" src="form_352.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First multiplicand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second multiplicand. </td></tr>
+    <tr><td class="paramname">c</td><td>Summand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of the multiplicands plus the summand, ($a * $b) + $c. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html#l00136">136</a> of file <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab57371eb5b1cf21e7fa089e89758bdef"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The fused multiply-add function for two variables and a value (C99). </p>
+<p>This function returns the product of the first two arguments plus the third argument.</p>
+<p>The double-based version <code>::fma(double, double, double)</code> is defined in <code>&lt;cmath&gt;</code>.</p>
+<p>The partial derivatives are</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} (x * y) + c = y$" src="form_353.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} (x * y) + c = x$" src="form_354.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First multiplicand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second multiplicand. </td></tr>
+    <tr><td class="paramname">c</td><td>Summand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of the multiplicands plus the summand, ($a * $b) + $c. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html#l00161">161</a> of file <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2d1708d9819f74c9b8663c802a2d1a2a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The fused multiply-add function for a variable, value, and variable (C99). </p>
+<p>This function returns the product of the first two arguments plus the third argument.</p>
+<p>The double-based version <code>::fma(double, double, double)</code> is defined in <code>&lt;cmath&gt;</code>.</p>
+<p>The partial derivatives are</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} (x * c) + z = c$" src="form_355.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial z} (x * c) + z = 1$" src="form_356.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First multiplicand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second multiplicand. </td></tr>
+    <tr><td class="paramname">c</td><td>Summand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of the multiplicands plus the summand, ($a * $b) + $c. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html#l00186">186</a> of file <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6a7340a4f23e33e671e53c2582c63272"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The fused multiply-add function for a variable and two values (C99). </p>
+<p>This function returns the product of the first two arguments plus the third argument.</p>
+<p>The double-based version <code>::fma(double, double, double)</code> is defined in <code>&lt;cmath&gt;</code>.</p>
+<p>The derivative is</p>
+<p><img class="formulaInl" alt="$\frac{d}{d x} (x * c) + d = c$" src="form_357.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First multiplicand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second multiplicand. </td></tr>
+    <tr><td class="paramname">c</td><td>Summand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of the multiplicands plus the summand, ($a * $b) + $c. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html#l00209">209</a> of file <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab4becb131eda9f3e3f1ca06e373fea66"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The fused multiply-add function for a value, variable, and value (C99). </p>
+<p>This function returns the product of the first two arguments plus the third argument.</p>
+<p>The double-based version <code>::fma(double, double, double)</code> is defined in <code>&lt;cmath&gt;</code>.</p>
+<p>The derivative is</p>
+<p><img class="formulaInl" alt="$\frac{d}{d y} (c * y) + d = c$" src="form_358.png"/>, and</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First multiplicand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second multiplicand. </td></tr>
+    <tr><td class="paramname">c</td><td>Summand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of the multiplicands plus the summand, ($a * $b) + $c. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html#l00232">232</a> of file <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad6917da974098b0bb02883839f1ae0e1"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The fused multiply-add function for two values and a variable, and value (C99). </p>
+<p>This function returns the product of the first two arguments plus the third argument.</p>
+<p>The double-based version <code>::fma(double, double, double)</code> is defined in <code>&lt;cmath&gt;</code>.</p>
+<p>The derivative is</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial z} (c * d) + z = 1$" src="form_359.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First multiplicand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second multiplicand. </td></tr>
+    <tr><td class="paramname">c</td><td>Summand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of the multiplicands plus the summand, ($a * $b) + $c. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html#l00255">255</a> of file <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae9f288e71a8a7012ad123ca361f6a739"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fma </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The fused multiply-add function for a value and two variables (C99). </p>
+<p>This function returns the product of the first two arguments plus the third argument.</p>
+<p>The double-based version <code>::fma(double, double, double)</code> is defined in <code>&lt;cmath&gt;</code>.</p>
+<p>The partial derivaties are</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} (c * y) + z = c$" src="form_360.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial z} (c * y) + z = 1$" src="form_361.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First multiplicand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second multiplicand. </td></tr>
+    <tr><td class="paramname">c</td><td>Summand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of the multiplicands plus the summand, ($a * $b) + $c. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html#l00280">280</a> of file <a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html">fma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1f0dc47791c87f86c9f93d2cba273c25"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fmax </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fmax_8hpp_source.html#l00013">13</a> of file <a class="el" href="fwd_2scal_2fun_2fmax_8hpp_source.html">fmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adb8de59f858592b97409ca71d68f4442"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fmax </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fmax_8hpp_source.html#l00033">33</a> of file <a class="el" href="fwd_2scal_2fun_2fmax_8hpp_source.html">fmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aad0fec224f4c675618141528549640ba"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fmax </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fmax_8hpp_source.html#l00053">53</a> of file <a class="el" href="fwd_2scal_2fun_2fmax_8hpp_source.html">fmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab57bd2f169eb820c21273293d2cfa01b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fmax </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the maximum of the two variable arguments (C99). </p>
+<p>No new variable implementations are created, with this function defined as if by</p>
+<p><code>fmax(a, b) = a</code> if a's value is greater than b's, and .</p>
+<p><code>fmax(a, b) = b</code> if b's value is greater than or equal to a's.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{fmax}(x, y) = \begin{cases} x &amp; \mbox{if } x \geq y \\ y &amp; \mbox{if } x < y \\[6pt] x &amp; \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ y &amp; \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} &amp; \mbox{if } x, y = \textrm{NaN} \end{cases} \]" src="form_362.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fmax}(x, y)}{\partial x} = \begin{cases} 1 &amp; \mbox{if } x \geq y \\ 0 &amp; \mbox{if } x < y \\[6pt] 1 &amp; \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ 0 &amp; \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} &amp; \mbox{if } x, y = \textrm{NaN} \end{cases} \]" src="form_363.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fmax}(x, y)}{\partial y} = \begin{cases} 0 &amp; \mbox{if } x \geq y \\ 1 &amp; \mbox{if } x < y \\[6pt] 0 &amp; \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ 1 &amp; \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} &amp; \mbox{if } x, y = \textrm{NaN} \end{cases} \]" src="form_364.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>If the first variable's value is larger than the second's, the first variable, otherwise the second variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fmax_8hpp_source.html#l00063">63</a> of file <a class="el" href="rev_2scal_2fun_2fmax_8hpp_source.html">fmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5e72a34aed1af28919d940399a07c3d0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fmax </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the maximum of the variable and scalar, promoting the scalar to a variable if it is larger (C99). </p>
+<p>For <code>fmax(a, b)</code>, if a's value is greater than b, then a is returned, otherwise a fesh variable implementation wrapping the value b is returned.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second value </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>If the first variable's value is larger than or equal to the second value, the first variable, otherwise the second value promoted to a fresh variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fmax_8hpp_source.html#l00095">95</a> of file <a class="el" href="rev_2scal_2fun_2fmax_8hpp_source.html">fmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8a200e969bd57383ff4f89516c0690b5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fmax </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the maximum of a scalar and variable, promoting the scalar to a variable if it is larger (C99). </p>
+<p>For <code>fmax(a, b)</code>, if a is greater than b's value, then a fresh variable implementation wrapping a is returned, otherwise b is returned.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First value. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>If the first value is larger than the second variable's value, return the first value promoted to a variable, otherwise return the second variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fmax_8hpp_source.html#l00127">127</a> of file <a class="el" href="rev_2scal_2fun_2fmax_8hpp_source.html">fmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae765dc2aa344a1893f66bffbdab0267c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fmin </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fmin_8hpp_source.html#l00013">13</a> of file <a class="el" href="fwd_2scal_2fun_2fmin_8hpp_source.html">fmin.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6ade89f8b882cb15b0478176fd997cd1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fmin </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fmin_8hpp_source.html#l00033">33</a> of file <a class="el" href="fwd_2scal_2fun_2fmin_8hpp_source.html">fmin.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a00cdcc6569e6ac1d6a40d2f7157566a1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fmin </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fmin_8hpp_source.html#l00053">53</a> of file <a class="el" href="fwd_2scal_2fun_2fmin_8hpp_source.html">fmin.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3ff067261be560b2502178b590a7a068"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fmin </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the minimum of the two variable arguments (C99). </p>
+<p>For <code>fmin(a, b)</code>, if a's value is less than b's, then a is returned, otherwise b is returned.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{fmin}(x, y) = \begin{cases} x &amp; \mbox{if } x \leq y \\ y &amp; \mbox{if } x > y \\[6pt] x &amp; \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ y &amp; \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} &amp; \mbox{if } x, y = \textrm{NaN} \end{cases} \]" src="form_365.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fmin}(x, y)}{\partial x} = \begin{cases} 1 &amp; \mbox{if } x \leq y \\ 0 &amp; \mbox{if } x > y \\[6pt] 1 &amp; \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ 0 &amp; \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} &amp; \mbox{if } x, y = \textrm{NaN} \end{cases} \]" src="form_366.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fmin}(x, y)}{\partial y} = \begin{cases} 0 &amp; \mbox{if } x \leq y \\ 1 &amp; \mbox{if } x > y \\[6pt] 0 &amp; \mbox{if } -\infty\leq x\leq \infty, y = \textrm{NaN}\\ 1 &amp; \mbox{if } -\infty\leq y\leq \infty, x = \textrm{NaN}\\ \textrm{NaN} &amp; \mbox{if } x, y = \textrm{NaN} \end{cases} \]" src="form_367.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>If the first variable's value is smaller than the second's, the first variable, otherwise the second variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fmin_8hpp_source.html#l00059">59</a> of file <a class="el" href="rev_2scal_2fun_2fmin_8hpp_source.html">fmin.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2e9c72371629b0a266acc6795d723aa6"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fmin </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the minimum of the variable and scalar, promoting the scalar to a variable if it is larger (C99). </p>
+<p>For <code>fmin(a, b)</code>, if a's value is less than or equal to b, then a is returned, otherwise a fresh variable wrapping b is returned.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second value </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>If the first variable's value is less than or equal to the second value, the first variable, otherwise the second value promoted to a fresh variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fmin_8hpp_source.html#l00089">89</a> of file <a class="el" href="rev_2scal_2fun_2fmin_8hpp_source.html">fmin.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af78692904b139471b470740ce866468e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fmin </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the minimum of a scalar and variable, promoting the scalar to a variable if it is larger (C99). </p>
+<p>For <code>fmin(a, b)</code>, if a is less than b's value, then a fresh variable implementation wrapping a is returned, otherwise b is returned.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First value. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>If the first value is smaller than the second variable's value, return the first value promoted to a variable, otherwise return the second variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fmin_8hpp_source.html#l00120">120</a> of file <a class="el" href="rev_2scal_2fun_2fmin_8hpp_source.html">fmin.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac9f40b2c56584ebd33037769fddc4d3f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fmod </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fmod_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2scal_2fun_2fmod_8hpp_source.html">fmod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad0970b532a9f823834c492e98356e730"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fmod </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fmod_8hpp_source.html#l00026">26</a> of file <a class="el" href="fwd_2scal_2fun_2fmod_8hpp_source.html">fmod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5fdbe01b71fb403869c2fa9ebb1fb90c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::fmod </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2fmod_8hpp_source.html#l00039">39</a> of file <a class="el" href="fwd_2scal_2fun_2fmod_8hpp_source.html">fmod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a935933626162d429e5a7f06ca0bde103"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fmod </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the floating point remainder after dividing the first variable by the second (cmath). </p>
+<p>The partial derivatives with respect to the variables are defined everywhere but where <img class="formulaInl" alt="$x = y$" src="form_368.png"/>, but we set these to match other values, with</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} \mbox{fmod}(x, y) = 1$" src="form_369.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} \mbox{fmod}(x, y) = -\lfloor \frac{x}{y} \rfloor$" src="form_370.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{fmod}(x, y) = \begin{cases} x - \lfloor \frac{x}{y}\rfloor y &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_371.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fmod}(x, y)}{\partial x} = \begin{cases} 1 &amp; \mbox{if } -\infty\leq x, y\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_372.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{fmod}(x, y)}{\partial y} = \begin{cases} -\lfloor \frac{x}{y}\rfloor &amp; \mbox{if } -\infty\leq x, y\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_373.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Floating pointer remainder of dividing the first variable by the second. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fmod_8hpp_source.html#l00103">103</a> of file <a class="el" href="rev_2scal_2fun_2fmod_8hpp_source.html">fmod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab9ecd1367428932c3515ef3c374e6e9e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fmod </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the floating point remainder after dividing the the first variable by the second scalar (cmath). </p>
+<p>The derivative with respect to the variable is</p>
+<p><img class="formulaInl" alt="$\frac{d}{d x} \mbox{fmod}(x, c) = \frac{1}{c}$" src="form_374.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Floating pointer remainder of dividing the first variable by the second scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fmod_8hpp_source.html#l00120">120</a> of file <a class="el" href="rev_2scal_2fun_2fmod_8hpp_source.html">fmod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6806c0d68c9e23e905b4ca36119734bd"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::fmod </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the floating point remainder after dividing the first scalar by the second variable (cmath). </p>
+<p>The derivative with respect to the variable is</p>
+<p><img class="formulaInl" alt="$\frac{d}{d y} \mbox{fmod}(c, y) = -\lfloor \frac{c}{y} \rfloor$" src="form_375.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First scalar. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Floating pointer remainder of dividing first scalar by the second variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2fmod_8hpp_source.html#l00137">137</a> of file <a class="el" href="rev_2scal_2fun_2fmod_8hpp_source.html">fmod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34680a4c6abd1d998326e44a212aa6d8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::frechet_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="frechet__ccdf__log_8hpp_source.html#l00031">31</a> of file <a class="el" href="frechet__ccdf__log_8hpp_source.html">frechet_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a252058aec5645d61efd61e155b788be7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::frechet_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="frechet__cdf_8hpp_source.html#l00031">31</a> of file <a class="el" href="frechet__cdf_8hpp_source.html">frechet_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aad1ba53b1f236710eed4f8377dc06471"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::frechet_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="frechet__cdf__log_8hpp_source.html#l00031">31</a> of file <a class="el" href="frechet__cdf__log_8hpp_source.html">frechet_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a17f910a5107250d4b47468fe1e7487cc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::frechet_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="frechet__log_8hpp_source.html#l00034">34</a> of file <a class="el" href="frechet__log_8hpp_source.html">frechet_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a63f05e7ee3898b2f48b4b2658dad51c5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::frechet_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="frechet__log_8hpp_source.html#l00140">140</a> of file <a class="el" href="frechet__log_8hpp_source.html">frechet_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a85bd113906fdeaf57e662a598ad99689"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::frechet_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="frechet__rng_8hpp_source.html#l00027">27</a> of file <a class="el" href="frechet__rng_8hpp_source.html">frechet_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a77292bb0c64aa3243c86437cae645ea2"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::free_cvodes_memory </td>
+          <td>(</td>
+          <td class="paramtype">N_Vector &amp;&#160;</td>
+          <td class="paramname"><em>cvodes_state</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">N_Vector *&#160;</td>
+          <td class="paramname"><em>cvodes_state_sens</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">void *&#160;</td>
+          <td class="paramname"><em>cvodes_mem</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>S</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Free memory allocated for CVODES state, sensitivity, and general memory. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">cvodes_state</td><td>State vector. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">cvodes_state_sens</td><td>Sensivity vector. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">cvodes_mem</td><td>Memory held for CVODES. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">S</td><td>Number of sensitivities being calculated. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="integrate__ode__bdf_8hpp_source.html#l00034">34</a> of file <a class="el" href="integrate__ode__bdf_8hpp_source.html">integrate_ode_bdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae2f6f9efb0e1bacdc6415b6e0d6d6f00"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_inv_scale&gt;::type stan::math::gamma_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gamma__ccdf__log_8hpp_source.html#l00035">35</a> of file <a class="el" href="gamma__ccdf__log_8hpp_source.html">gamma_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad927dbc83dc93b41cfb7a1ab6dccbd9e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_inv_scale&gt;::type stan::math::gamma_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The cumulative density function for a gamma distribution for y with the specified shape and inverse scale parameters. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">alpha</td><td>Shape parameter. </td></tr>
+    <tr><td class="paramname">beta</td><td>Inverse scale parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if alpha is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if beta is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if y is not greater than or equal to 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_shape</td><td>Type of shape. </td></tr>
+    <tr><td class="paramname">T_inv_scale</td><td>Type of inverse scale. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="gamma__cdf_8hpp_source.html#l00049">49</a> of file <a class="el" href="gamma__cdf_8hpp_source.html">gamma_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af878fa8fc2eaeec210aff65ec83f5323"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_inv_scale&gt;::type stan::math::gamma_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gamma__cdf__log_8hpp_source.html#l00035">35</a> of file <a class="el" href="gamma__cdf__log_8hpp_source.html">gamma_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aab77693b33e10406f7ca5d85ce97107f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_shape , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_inv_scale&gt;::type stan::math::gamma_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of a gamma density for y with the specified shape and inverse scale parameters. </p>
+<p>Shape and inverse scale parameters must be greater than 0. y must be greater than or equal to 0.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} y &amp;\sim&amp; \mbox{\sf{Gamma}}(\alpha, \beta) \\ \log (p (y \, |\, \alpha, \beta) ) &amp;=&amp; \log \left( \frac{\beta^\alpha}{\Gamma(\alpha)} y^{\alpha - 1} \exp^{- \beta y} \right) \\ &amp;=&amp; \alpha \log(\beta) - \log(\Gamma(\alpha)) + (\alpha - 1) \log(y) - \beta y\\ &amp; &amp; \mathrm{where} \; y > 0 \end{eqnarray*}" src="form_195.png"/>
+</p>
+ <dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">alpha</td><td>Shape parameter. </td></tr>
+    <tr><td class="paramname">beta</td><td>Inverse scale parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if alpha is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if beta is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if y is not greater than or equal to 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_shape</td><td>Type of shape. </td></tr>
+    <tr><td class="paramname">T_inv_scale</td><td>Type of inverse scale. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="gamma__log_8hpp_source.html#l00054">54</a> of file <a class="el" href="gamma__log_8hpp_source.html">gamma_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a03197f2fe5c3a96f77a9727f2db29d38"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_inv_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_inv_scale&gt;::type stan::math::gamma_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gamma__log_8hpp_source.html#l00166">166</a> of file <a class="el" href="gamma__log_8hpp_source.html">gamma_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa0fad89bd8e78eee42230dd92bcf1b15"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::gamma_p </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2gamma__p_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2gamma__p_8hpp_source.html">gamma_p.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abdd446def1c6803882dfa29838addc79"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::gamma_p </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2gamma__p_8hpp_source.html#l00051">51</a> of file <a class="el" href="fwd_2scal_2fun_2gamma__p_8hpp_source.html">gamma_p.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aed411d626d4ae01a76584c454a83673f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::gamma_p </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>a</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{gamma\_p}(a, z) = \begin{cases} \textrm{error} &amp; \mbox{if } a\leq 0 \textrm{ or } z < 0\\ P(a, z) &amp; \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]" src="form_64.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{gamma\_p}(a, z)}{\partial a} = \begin{cases} \textrm{error} &amp; \mbox{if } a\leq 0 \textrm{ or } z < 0\\ \frac{\partial\, P(a, z)}{\partial a} &amp; \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]" src="form_65.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{gamma\_p}(a, z)}{\partial z} = \begin{cases} \textrm{error} &amp; \mbox{if } a\leq 0 \textrm{ or } z < 0\\ \frac{\partial\, P(a, z)}{\partial z} &amp; \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]" src="form_66.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ P(a, z)=\frac{1}{\Gamma(a)}\int_0^zt^{a-1}e^{-t}dt \]" src="form_67.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, P(a, z)}{\partial a} = -\frac{\Psi(a)}{\Gamma^2(a)}\int_0^zt^{a-1}e^{-t}dt + \frac{1}{\Gamma(a)}\int_0^z (a-1)t^{a-2}e^{-t}dt \]" src="form_68.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, P(a, z)}{\partial z} = \frac{z^{a-1}e^{-z}}{\Gamma(a)} \]" src="form_69.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html#l00053">53</a> of file <a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">gamma_p.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a764de29e557ee65caaff1b94388a9367"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::gamma_p </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2gamma__p_8hpp_source.html#l00086">86</a> of file <a class="el" href="fwd_2scal_2fun_2gamma__p_8hpp_source.html">gamma_p.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad9ec26628247b9e474e1b3254aae0b32"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::gamma_p </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2gamma__p_8hpp_source.html#l00104">104</a> of file <a class="el" href="rev_2scal_2fun_2gamma__p_8hpp_source.html">gamma_p.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad392cbaa9872996da3127a359929cea4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::gamma_p </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2gamma__p_8hpp_source.html#l00109">109</a> of file <a class="el" href="rev_2scal_2fun_2gamma__p_8hpp_source.html">gamma_p.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa3db0274d59a42798f93e66d0d411dd8"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::gamma_p </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2gamma__p_8hpp_source.html#l00114">114</a> of file <a class="el" href="rev_2scal_2fun_2gamma__p_8hpp_source.html">gamma_p.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a743267027c96ebef239be63589a6d594"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::gamma_q </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2gamma__q_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2gamma__q_8hpp_source.html">gamma_q.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7c57ec58c3534caee0c89fbdf56ed28d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::gamma_q </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2gamma__q_8hpp_source.html#l00051">51</a> of file <a class="el" href="fwd_2scal_2fun_2gamma__q_8hpp_source.html">gamma_q.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0830ba049b81bc98ea9fbcf1eb7b4bd6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::gamma_q </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>a</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{gamma\_q}(a, z) = \begin{cases} \textrm{error} &amp; \mbox{if } a\leq 0 \textrm{ or } z < 0\\ Q(a, z) &amp; \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]" src="form_70.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{gamma\_q}(a, z)}{\partial a} = \begin{cases} \textrm{error} &amp; \mbox{if } a\leq 0 \textrm{ or } z < 0\\ \frac{\partial\, Q(a, z)}{\partial a} &amp; \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]" src="form_71.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{gamma\_q}(a, z)}{\partial z} = \begin{cases} \textrm{error} &amp; \mbox{if } a\leq 0 \textrm{ or } z < 0\\ \frac{\partial\, Q(a, z)}{\partial z} &amp; \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]" src="form_72.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ Q(a, z)=\frac{1}{\Gamma(a)}\int_z^\infty t^{a-1}e^{-t}dt \]" src="form_73.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, Q(a, z)}{\partial a} = -\frac{\Psi(a)}{\Gamma^2(a)}\int_z^\infty t^{a-1}e^{-t}dt + \frac{1}{\Gamma(a)}\int_z^\infty (a-1)t^{a-2}e^{-t}dt \]" src="form_74.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, Q(a, z)}{\partial z} = -\frac{z^{a-1}e^{-z}}{\Gamma(a)} \]" src="form_75.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html#l00053">53</a> of file <a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">gamma_q.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac8ed9105d1156ceaca26ab323f1a2648"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::gamma_q </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2gamma__q_8hpp_source.html#l00058">58</a> of file <a class="el" href="rev_2scal_2fun_2gamma__q_8hpp_source.html">gamma_q.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af97d9968df786f813758bce4a8909f62"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::gamma_q </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2gamma__q_8hpp_source.html#l00063">63</a> of file <a class="el" href="rev_2scal_2fun_2gamma__q_8hpp_source.html">gamma_q.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acb9a338d5f5fd18bddf0e8225f6cc27d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::gamma_q </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2gamma__q_8hpp_source.html#l00068">68</a> of file <a class="el" href="rev_2scal_2fun_2gamma__q_8hpp_source.html">gamma_q.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2ac85a7ace8ea6fdaa4fd19a40e8c87b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::gamma_q </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2gamma__q_8hpp_source.html#l00086">86</a> of file <a class="el" href="fwd_2scal_2fun_2gamma__q_8hpp_source.html">gamma_q.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aacf6ec5f55f56b5756804a1771259a58"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::gamma_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>beta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gamma__rng_8hpp_source.html#l00030">30</a> of file <a class="el" href="gamma__rng_8hpp_source.html">gamma_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a439b46e03e6dbd7269b60989cf31de85"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_F , typename T_G , typename T_V , typename T_W , typename T_m0 , typename T_C0 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt; T_y, typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_F, T_G, T_V, T_W, T_m0, T_C0&gt;::type &gt;::type stan::math::gaussian_dlm_obs_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_F, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>F</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_G, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>G</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_V, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>V</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_W, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>W</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_m0, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_C0, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>C0</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of a Gaussian dynamic linear model (GDLM). </p>
+<p>This distribution is equivalent to, for <img class="formulaInl" alt="$t = 1:T$" src="form_21.png"/>, </p><p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} y_t &amp; \sim N(F' \theta_t, V) \\ \theta_t &amp; \sim N(G \theta_{t-1}, W) \\ \theta_0 &amp; \sim N(m_0, C_0) \end{eqnarray*}" src="form_22.png"/>
+</p>
+<p>If V is a vector, then the Kalman filter is applied sequentially.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A r x T matrix of observations. Rows are variables, columns are observations. </td></tr>
+    <tr><td class="paramname">F</td><td>A n x r matrix. The design matrix. </td></tr>
+    <tr><td class="paramname">G</td><td>A n x n matrix. The transition matrix. </td></tr>
+    <tr><td class="paramname">V</td><td>A r x r matrix. The observation covariance matrix. </td></tr>
+    <tr><td class="paramname">W</td><td>A n x n matrix. The state covariance matrix. </td></tr>
+    <tr><td class="paramname">m0</td><td>A n x 1 matrix. The mean vector of the distribution of the initial state. </td></tr>
+    <tr><td class="paramname">C0</td><td>A n x n matrix. The covariance matrix of the distribution of the initial state. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the joint density of the GDLM. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if a matrix in the Kalman filter is not positive semi-definite. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_F</td><td>Type of design matrix. </td></tr>
+    <tr><td class="paramname">T_G</td><td>Type of transition matrix. </td></tr>
+    <tr><td class="paramname">T_V</td><td>Type of observation covariance matrix. </td></tr>
+    <tr><td class="paramname">T_W</td><td>Type of state covariance matrix. </td></tr>
+    <tr><td class="paramname">T_m0</td><td>Type of initial state mean vector. </td></tr>
+    <tr><td class="paramname">T_C0</td><td>Type of initial state covariance matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="gaussian__dlm__obs__log_8hpp_source.html#l00079">79</a> of file <a class="el" href="gaussian__dlm__obs__log_8hpp_source.html">gaussian_dlm_obs_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad7da6e923e5a19bed55c94a109d2e4cd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_F , typename T_G , typename T_V , typename T_W , typename T_m0 , typename T_C0 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt; T_y, typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_F, T_G, T_V, T_W, T_m0, T_C0&gt;::type &gt;::type stan::math::gaussian_dlm_obs_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_F, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>F</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_G, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>G</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_V, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>V</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_W, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>W</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_m0, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_C0, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>C0</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gaussian__dlm__obs__log_8hpp_source.html#l00225">225</a> of file <a class="el" href="gaussian__dlm__obs__log_8hpp_source.html">gaussian_dlm_obs_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9a72bf8a0cfb7fd70089f9fb7fb5ce9a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_F , typename T_G , typename T_V , typename T_W , typename T_m0 , typename T_C0 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt; T_y, typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_F, T_G, T_V, T_W, T_m0, T_C0&gt;::type &gt;::type stan::math::gaussian_dlm_obs_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_F, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>F</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_G, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>G</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_V, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>V</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_W, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>W</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_m0, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_C0, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>C0</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of a Gaussian dynamic linear model (GDLM) with uncorrelated observation disturbances. </p>
+<p>This distribution is equivalent to, for <img class="formulaInl" alt="$t = 1:T$" src="form_21.png"/>, </p><p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} y_t &amp; \sim N(F' \theta_t, diag(V)) \\ \theta_t &amp; \sim N(G \theta_{t-1}, W) \\ \theta_0 &amp; \sim N(m_0, C_0) \end{eqnarray*}" src="form_23.png"/>
+</p>
+<p>If V is a vector, then the Kalman filter is applied sequentially.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A r x T matrix of observations. Rows are variables, columns are observations. </td></tr>
+    <tr><td class="paramname">F</td><td>A n x r matrix. The design matrix. </td></tr>
+    <tr><td class="paramname">G</td><td>A n x n matrix. The transition matrix. </td></tr>
+    <tr><td class="paramname">V</td><td>A size r vector. The diagonal of the observation covariance matrix. </td></tr>
+    <tr><td class="paramname">W</td><td>A n x n matrix. The state covariance matrix. </td></tr>
+    <tr><td class="paramname">m0</td><td>A n x 1 matrix. The mean vector of the distribution of the initial state. </td></tr>
+    <tr><td class="paramname">C0</td><td>A n x n matrix. The covariance matrix of the distribution of the initial state. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the joint density of the GDLM. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if a matrix in the Kalman filter is not semi-positive definite. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_F</td><td>Type of design matrix. </td></tr>
+    <tr><td class="paramname">T_G</td><td>Type of transition matrix. </td></tr>
+    <tr><td class="paramname">T_V</td><td>Type of observation variances </td></tr>
+    <tr><td class="paramname">T_W</td><td>Type of state covariance matrix. </td></tr>
+    <tr><td class="paramname">T_m0</td><td>Type of initial state mean vector. </td></tr>
+    <tr><td class="paramname">T_C0</td><td>Type of initial state covariance matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="gaussian__dlm__obs__log_8hpp_source.html#l00285">285</a> of file <a class="el" href="gaussian__dlm__obs__log_8hpp_source.html">gaussian_dlm_obs_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a99ad1baa9f1a423304ac19aa0e345075"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_F , typename T_G , typename T_V , typename T_W , typename T_m0 , typename T_C0 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, typename <a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_F, T_G, T_V, T_W, T_m0, T_C0&gt;::type&gt;::type stan::math::gaussian_dlm_obs_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_F, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>F</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_G, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>G</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_V, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>V</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_W, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>W</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_m0, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_C0, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>C0</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gaussian__dlm__obs__log_8hpp_source.html#l00442">442</a> of file <a class="el" href="gaussian__dlm__obs__log_8hpp_source.html">gaussian_dlm_obs_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7535c86e2c9ee9d5391a8cc63187317e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const T&amp; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one index. </p>
+<p>If the index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i</td><td>Index into vector plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if the index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at <code>i - 1</code> </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00027">27</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aca7c84b936da0d3422507927cf9a68cc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const T&amp; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00053">53</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a714e39ba9fcbbd90c787a51d511c9af1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const T&amp; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00081">81</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa23b355397df347249da513307fd6667"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const T&amp; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">i4</td><td>Fourth index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00111">111</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a25c1fac0445beea55c521c94f360e13e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const T&amp; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i5</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">i4</td><td>Fourth index plus 1. </td></tr>
+    <tr><td class="paramname">i5</td><td>Fifth index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00143">143</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a20a82151947fc8816c5ce5b7bc6d8abd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const T&amp; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i5</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i6</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">i4</td><td>Fourth index plus 1. </td></tr>
+    <tr><td class="paramname">i5</td><td>Fifth index plus 1. </td></tr>
+    <tr><td class="paramname">i6</td><td>Sixth index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00178">178</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6fb72caff19c8ce19dc6e3c25c79f7b8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const T&amp; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i5</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i6</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i7</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">i4</td><td>Fourth index plus 1. </td></tr>
+    <tr><td class="paramname">i5</td><td>Fifth index plus 1. </td></tr>
+    <tr><td class="paramname">i6</td><td>Sixth index plus 1. </td></tr>
+    <tr><td class="paramname">i7</td><td>Seventh index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00216">216</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="accc97dd76490d575638ebb22da233a53"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const T&amp; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i5</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i6</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i7</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i8</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">i4</td><td>Fourth index plus 1. </td></tr>
+    <tr><td class="paramname">i5</td><td>Fifth index plus 1. </td></tr>
+    <tr><td class="paramname">i6</td><td>Sixth index plus 1. </td></tr>
+    <tr><td class="paramname">i7</td><td>Seventh index plus 1. </td></tr>
+    <tr><td class="paramname">i8</td><td>Eigth index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00256">256</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8d5ea3228150cb118441cced9ed49a92"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, 1, Eigen::Dynamic&gt; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a copy of the row of the specified vector at the specified base-one row index. </p>
+<p>If the index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<p><b>Warning</b>: Because a copy is involved, it is inefficient to access element of matrices by first using this method to get a row then using a second call to get the value at a specified column.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Matrix from which to get a row </td></tr>
+    <tr><td class="paramname">m</td><td>Index into matrix plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if the index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Row of matrix at <code>i - 1</code>. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00297">297</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a51091bb67549e42c241f4e08e7d291d6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const T&amp; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified matrix at the specified base-one row and column indexes. </p>
+<p>If either index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Matrix from which to get a row </td></tr>
+    <tr><td class="paramname">m</td><td>Row index plus 1. </td></tr>
+    <tr><td class="paramname">n</td><td>Column index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if either index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if either index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of matrix at row <code>m - 1</code> and column <code>n - 1</code>. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00324">324</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab0dbeed50ff3f8630ea3cd54f9ecb804"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const T&amp; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified column vector at the specified base-one index. </p>
+<p>If the index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Column vector from which to get a value. </td></tr>
+    <tr><td class="paramname">m</td><td>Row index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if the index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of column vector at row <code>m - 1</code>. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00351">351</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abf9dcd5236495d3f581b31dd05b9a227"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const T&amp; stan::math::get_base1 </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified row vector at the specified base-one index. </p>
+<p>If the index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Row vector from which to get a value. </td></tr>
+    <tr><td class="paramname">n</td><td>Column index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if the index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of row vector at column <code>n - 1</code>. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1_8hpp_source.html#l00376">376</a> of file <a class="el" href="get__base1_8hpp_source.html">get_base1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac54b1427fd9d0765f0200dc9caa830f9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T&amp; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one index. </p>
+<p>If the index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i</td><td>Index into vector plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if the index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at <code>i - 1</code> </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00027">27</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4d5711f99869d05a6263218f3256e582"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T&amp; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; std::vector&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00053">53</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a37f3ceaa6197904ef662f1edc8245e1a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T&amp; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00081">81</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3132eb36eaf861cfbd119b38e0a85a15"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T&amp; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">i4</td><td>Fourth index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00111">111</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afbcc061003aabcaf675f4415adc80c0a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T&amp; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i5</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">i4</td><td>Fourth index plus 1. </td></tr>
+    <tr><td class="paramname">i5</td><td>Fifth index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00144">144</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1958245532761be08be7ac9bc781f3a7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T&amp; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i5</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i6</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">i4</td><td>Fourth index plus 1. </td></tr>
+    <tr><td class="paramname">i5</td><td>Fifth index plus 1. </td></tr>
+    <tr><td class="paramname">i6</td><td>Sixth index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00179">179</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aedc7fc712ebe439bec1892c8f69447cd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T&amp; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i5</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i6</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i7</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">i4</td><td>Fourth index plus 1. </td></tr>
+    <tr><td class="paramname">i5</td><td>Fifth index plus 1. </td></tr>
+    <tr><td class="paramname">i6</td><td>Sixth index plus 1. </td></tr>
+    <tr><td class="paramname">i7</td><td>Seventh index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00217">217</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a64467731d9abfaf97ea8d541d528142c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T&amp; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt; &gt; &gt; &gt; &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i3</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i4</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i5</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i6</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i7</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i8</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified vector at the specified base-one indexes. </p>
+<p>If an index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Vector from which to get a value. </td></tr>
+    <tr><td class="paramname">i1</td><td>First index plus 1. </td></tr>
+    <tr><td class="paramname">i2</td><td>Second index plus 1. </td></tr>
+    <tr><td class="paramname">i3</td><td>Third index plus 1. </td></tr>
+    <tr><td class="paramname">i4</td><td>Fourth index plus 1. </td></tr>
+    <tr><td class="paramname">i5</td><td>Fifth index plus 1. </td></tr>
+    <tr><td class="paramname">i6</td><td>Sixth index plus 1. </td></tr>
+    <tr><td class="paramname">i7</td><td>Seventh index plus 1. </td></tr>
+    <tr><td class="paramname">i8</td><td>Eigth index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if an index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of vector at indexes. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00258">258</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0843cd960568745e5ace70f2c45ec6c3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Block&lt;Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; &gt; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a copy of the row of the specified vector at the specified base-one row index. </p>
+<p>If the index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<p><b>Warning</b>: Because a copy is involved, it is inefficient to access element of matrices by first using this method to get a row then using a second call to get the value at a specified column.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Matrix from which to get a row </td></tr>
+    <tr><td class="paramname">m</td><td>Index into matrix plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if the index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Row of matrix at <code>i - 1</code>. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00301">301</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af8cb7e6e670cddcdf5527ec92fa3ff37"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T&amp; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified matrix at the specified base-one row and column indexes. </p>
+<p>If either index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Matrix from which to get a row </td></tr>
+    <tr><td class="paramname">m</td><td>Row index plus 1. </td></tr>
+    <tr><td class="paramname">n</td><td>Column index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if either index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if either index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of matrix at row <code>m - 1</code> and column <code>n - 1</code>. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00328">328</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adffeab694f7588c92dc97b6736e5be7b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T&amp; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified column vector at the specified base-one index. </p>
+<p>If the index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Column vector from which to get a value. </td></tr>
+    <tr><td class="paramname">m</td><td>Row index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if the index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of column vector at row <code>m - 1</code>. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00355">355</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6133d90708e16760b6394c6ca6a305ff"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T&amp; stan::math::get_base1_lhs </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>error_msg</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>idx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a reference to the value of the specified row vector at the specified base-one index. </p>
+<p>If the index is out of range, throw a <code>std::out_of_range</code> exception with the specified error message and index indicated.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Row vector from which to get a value. </td></tr>
+    <tr><td class="paramname">n</td><td>Column index plus 1. </td></tr>
+    <tr><td class="paramname">error_msg</td><td>Error message if the index is out of range. </td></tr>
+    <tr><td class="paramname">idx</td><td>Nested index level to report in error message if the index is out of range. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of row vector at column <code>n - 1</code>. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="get__base1__lhs_8hpp_source.html#l00380">380</a> of file <a class="el" href="get__base1__lhs_8hpp_source.html">get_base1_lhs.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac0fd1b6e6ba9738332204bae823dc006"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_lp , typename T_lp_accum &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_lp, T_lp_accum&gt;::type stan::math::get_lp </td>
+          <td>(</td>
+          <td class="paramtype">const T_lp &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1accumulator.html">stan::math::accumulator</a>&lt; T_lp_accum &gt; &amp;&#160;</td>
+          <td class="paramname"><em>lp_accum</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="get__lp_8hpp_source.html#l00014">14</a> of file <a class="el" href="get__lp_8hpp_source.html">get_lp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a20437f997cf28c6013d897f1d8099106"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void stan::math::grad </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>vi</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a class="anchor" id="a78c351f7c1ef5ea39c047fe102f70da3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::grad </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::VectorXd &amp;&#160;</td>
+          <td class="paramname"><em>g</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Propagate chain rule to calculate gradients starting from the specified variable. </p>
+<p>Resizes the input vector to be the correct size.</p>
+<p>The <a class="el" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106" title="Compute the gradient for all variables starting from the specified root variable implementation. ">grad()</a> function does not itself recover any memory. use <code><a class="el" href="namespacestan_1_1math.html#afe2cbb83ac9ef52296755690e61f4298" title="Recover memory used for all variables for reuse. ">recover_memory()</a></code> or <code><a class="el" href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a" title="Recover only the memory used for the top nested call. ">recover_memory_nested()</a></code> to recover memory.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>Value of function being differentiated </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Variables being differentiated with respect to </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">g</td><td>Gradient, d/dx v, evaluated at x. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2grad_8hpp_source.html#l00026">26</a> of file <a class="el" href="mat_2fun_2grad_8hpp_source.html">grad.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a20437f997cf28c6013d897f1d8099106"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void stan::math::grad </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1vari.html">vari</a> *&#160;</td>
+          <td class="paramname"><em>vi</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Compute the gradient for all variables starting from the specified root variable implementation. </p>
+<p>Does not recover memory. This chainable variable's adjoint is initialized using the method <code>init_dependent()</code> and then the chain rule is applied working down the stack from this vari and calling each vari's <code>chain()</code> method in turn.</p>
+<p>This function computes a nested gradient only going back as far as the last nesting.</p>
+<p>This function does not recover any memory from the computation.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">vi</td><td>Variable implementation for root of partial derivative propagation. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="core_2grad_8hpp_source.html#l00030">30</a> of file <a class="el" href="core_2grad_8hpp_source.html">grad.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a43226a00b6c2d3f3a2ab5906490f3136"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::grad_2F1 </td>
+          <td>(</td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>gradA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>gradC</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>z</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>precision</em> = <code>1e-6</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="grad__2_f1_8hpp_source.html#l00013">13</a> of file <a class="el" href="grad__2_f1_8hpp_source.html">grad_2F1.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a02dd0b6c85425c2005e265d8e66852a8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::grad_F32 </td>
+          <td>(</td>
+          <td class="paramtype">T *&#160;</td>
+          <td class="paramname"><em>g</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>d</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>e</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>z</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>precision</em> = <code>1e-6</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="grad___f32_8hpp_source.html#l00011">11</a> of file <a class="el" href="grad___f32_8hpp_source.html">grad_F32.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a367affe85da63060b14ae8bc988f0df6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::grad_hessian </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>H</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>grad_H</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculate the value, the Hessian, and the gradient of the Hessian of the specified function at the specified argument. </p>
+<p>The functor must implement</p>
+<p><code> <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt;stan::math::fvar&lt;stan::math::var&gt; &gt; operator()(const Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt;stan::math::fvar&lt;stan::math::var&gt; &gt;, Eigen::Dynamic, 1&gt;&amp;) </code></p>
+<p>using only operations that are defined for <code><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></code> and <code><a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a></code>.</p>
+<p>This latter constraint usually requires the functions to be defined in terms of the libraries defined in Stan or in terms of functions with appropriately general namespace imports that eventually depend on functions defined in Stan.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>Function </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Argument to function </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">fx</td><td>Function applied to argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">H</td><td>Hessian of function at argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">grad_H</td><td>Gradient of the Hessian of function at argument </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="grad__hessian_8hpp_source.html#l00045">45</a> of file <a class="el" href="grad__hessian_8hpp_source.html">grad_hessian.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a33cb272bd839945c13d7b41058c35c51"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::grad_inc_beta </td>
+          <td>(</td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>g1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>g2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2grad__inc__beta_8hpp_source.html#l00017">17</a> of file <a class="el" href="prim_2scal_2fun_2grad__inc__beta_8hpp_source.html">grad_inc_beta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8fb6dcbe4585fc38ff9374aa5164582f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::grad_inc_beta </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>g1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>g2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2grad__inc__beta_8hpp_source.html#l00024">24</a> of file <a class="el" href="fwd_2scal_2fun_2grad__inc__beta_8hpp_source.html">grad_inc_beta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a25f15a75139ebb4a3b599a1190d39fc1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::grad_inc_beta </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>g1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>g2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2grad__inc__beta_8hpp_source.html#l00024">24</a> of file <a class="el" href="rev_2scal_2fun_2grad__inc__beta_8hpp_source.html">grad_inc_beta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a11eeb59eb3ae4f0710a7e417478c1212"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::grad_reg_inc_beta </td>
+          <td>(</td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>g1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>g2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>z</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>digammaA</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>digammaB</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>digammaSum</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>betaAB</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="grad__reg__inc__beta_8hpp_source.html#l00014">14</a> of file <a class="el" href="grad__reg__inc__beta_8hpp_source.html">grad_reg_inc_beta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6336e9873f3029f5abe54c4914c71cb2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::grad_reg_inc_gamma </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>z</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>g</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>dig</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>precision</em> = <code>1e-6</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="grad__reg__inc__gamma_8hpp_source.html#l00016">16</a> of file <a class="el" href="grad__reg__inc__gamma_8hpp_source.html">grad_reg_inc_gamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa7face099d2313985131cde21ae17d8f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::grad_tr_mat_times_hessian </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>M</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>grad_tr_MH</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="grad__tr__mat__times__hessian_8hpp_source.html#l00020">20</a> of file <a class="el" href="grad__tr__mat__times__hessian_8hpp_source.html">grad_tr_mat_times_hessian.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a410200762bf5cf510708cc72e89cd00c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::gradient </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>grad_fx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculate the value and the gradient of the specified function at the specified argument. </p>
+<p>The functor must implement</p>
+<p><code> stan::math::fvar&lt;T&gt; operator()(const Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp;) </code></p>
+<p>using only operations that are defined for <code><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></code>. This latter constraint usually requires the functions to be defined in terms of the libraries defined in Stan or in terms of functions with appropriately general namespace imports that eventually depend on functions defined in Stan.</p>
+<p>Time and memory usage is on the order of the size of the fully unfolded expression for the function applied to the argument, independently of dimension.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>Function </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Argument to function </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">fx</td><td>Function applied to argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">grad_fx</td><td>Gradient of function at argument </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2functor_2gradient_8hpp_source.html#l00041">41</a> of file <a class="el" href="fwd_2mat_2functor_2gradient_8hpp_source.html">gradient.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4666717786c59b911d557d8865a41d74"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::gradient </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>grad_fx</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculate the value and the gradient of the specified function at the specified argument. </p>
+<p>The functor must implement</p>
+<p><code> <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> operator()(const Eigen::Matrix&lt;stan::math::var, Eigen::Dynamic, 1&gt;&amp;) </code></p>
+<p>using only operations that are defined for <code><a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a></code>. This latter constraint usually requires the functions to be defined in terms of the libraries defined in Stan or in terms of functions with appropriately general namespace imports that eventually depend on functions defined in Stan.</p>
+<p>Time and memory usage is on the order of the size of the fully unfolded expression for the function applied to the argument, independently of dimension.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>Function </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Argument to function </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">fx</td><td>Function applied to argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">grad_fx</td><td>Gradient of function at argument </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2functor_2gradient_8hpp_source.html#l00043">43</a> of file <a class="el" href="rev_2mat_2functor_2gradient_8hpp_source.html">gradient.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aef4059a767ad9af62d85cfb9685e250e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::gradient_dot_vector </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T1 &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T1 &amp;&#160;</td>
+          <td class="paramname"><em>grad_fx_dot_v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gradient__dot__vector_8hpp_source.html#l00017">17</a> of file <a class="el" href="gradient__dot__vector_8hpp_source.html">gradient_dot_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9da900adc6bb1216e99f604001cd4caa"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::gumbel_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gumbel__ccdf__log_8hpp_source.html#l00028">28</a> of file <a class="el" href="gumbel__ccdf__log_8hpp_source.html">gumbel_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a52ac5bc9a01ebadccc004463b054697c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::gumbel_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gumbel__cdf_8hpp_source.html#l00028">28</a> of file <a class="el" href="gumbel__cdf_8hpp_source.html">gumbel_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a06f4009f162e58a62a583b84f2d5ccf9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::gumbel_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gumbel__cdf__log_8hpp_source.html#l00028">28</a> of file <a class="el" href="gumbel__cdf__log_8hpp_source.html">gumbel_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa5fda97c2d23cb9fd2091e5bd1002e5d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::gumbel_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gumbel__log_8hpp_source.html#l00028">28</a> of file <a class="el" href="gumbel__log_8hpp_source.html">gumbel_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a166ad02fac07d4a084655f8fde1ec2ec"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::gumbel_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gumbel__log_8hpp_source.html#l00118">118</a> of file <a class="el" href="gumbel__log_8hpp_source.html">gumbel_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afb7ad70ee185c1e0720086617431f71a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::gumbel_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>beta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="gumbel__rng_8hpp_source.html#l00024">24</a> of file <a class="el" href="gumbel__rng_8hpp_source.html">gumbel_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae824fde6dc6e0f4ac3d37b86fb266414"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::head </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified number of elements as a vector from the front of the specified vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of value in vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Vector input </td></tr>
+    <tr><td class="paramname">n</td><td>Size of return </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The first n elements of v </dd></dl>
+
+<p>Definition at line <a class="el" href="head_8hpp_source.html#l00024">24</a> of file <a class="el" href="head_8hpp_source.html">head.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ada1d4ceb7d5aac027e9ec6adcb18755a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, 1, Eigen::Dynamic&gt; stan::math::head </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>rv</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified number of elements as a row vector from the front of the specified row vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of value in vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">rv</td><td>Row vector </td></tr>
+    <tr><td class="paramname">n</td><td>Size of return row vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The first n elements of rv </dd></dl>
+
+<p>Definition at line <a class="el" href="head_8hpp_source.html#l00042">42</a> of file <a class="el" href="head_8hpp_source.html">head.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5e746ba14994b318a0a192a97a0a28db"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;T&gt; stan::math::head </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>sv</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the specified number of elements as a standard vector from the front of the specified standard vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of value in vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">sv</td><td>Standard vector </td></tr>
+    <tr><td class="paramname">n</td><td>Size of return </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The first n elements of sv </dd></dl>
+
+<p>Definition at line <a class="el" href="head_8hpp_source.html#l00058">58</a> of file <a class="el" href="head_8hpp_source.html">head.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a01474168e03d94b982b6b4fd694b3302"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::hessian </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>grad</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>H</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculate the value, the gradient, and the Hessian, of the specified function at the specified argument in O(N^2) time and O(N^2) space. </p>
+<p>The functor must implement</p>
+<p><code> stan::math::fvar&lt;stan::math::var&gt; operator()(const Eigen::Matrix&lt;stan::math::fvar&lt;stan::math::var&gt;, Eigen::Dynamic, 1&gt;&amp;) </code></p>
+<p>using only operations that are defined for <code><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></code> and <code><a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a></code>.</p>
+<p>This latter constraint usually requires the functions to be defined in terms of the libraries defined in Stan or in terms of functions with appropriately general namespace imports that eventually depend on functions defined in Stan.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>Function </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Argument to function </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">fx</td><td>Function applied to argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">grad</td><td>gradient of function at argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">H</td><td>Hessian of function at argument </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="hessian_8hpp_source.html#l00045">45</a> of file <a class="el" href="hessian_8hpp_source.html">hessian.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab7006e79de4699a89e4980e1a6097770"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::hessian </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>grad</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>H</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="hessian_8hpp_source.html#l00074">74</a> of file <a class="el" href="hessian_8hpp_source.html">hessian.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a69389a1cd22b50df04a87245292f7f85"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::hessian_times_vector </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Hv</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="hessian__times__vector_8hpp_source.html#l00016">16</a> of file <a class="el" href="hessian__times__vector_8hpp_source.html">hessian_times_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1bb76a7877dac777de4757af8f2677be"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::hessian_times_vector </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Hv</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="hessian__times__vector_8hpp_source.html#l00045">45</a> of file <a class="el" href="hessian__times__vector_8hpp_source.html">hessian_times_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acf091835ddc913687ab4d34c3eee662e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_n , typename T_N , typename T_a , typename T_b &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::hypergeometric_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_a &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_b &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="hypergeometric__log_8hpp_source.html#l00029">29</a> of file <a class="el" href="hypergeometric__log_8hpp_source.html">hypergeometric_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a28d194254677d4503c2f5d7c6c4f6224"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_N , typename T_a , typename T_b &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::hypergeometric_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_N &amp;&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_a &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_b &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="hypergeometric__log_8hpp_source.html#l00086">86</a> of file <a class="el" href="hypergeometric__log_8hpp_source.html">hypergeometric_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3878889879be4781cc8d560f534ab123"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::hypergeometric_rng </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="hypergeometric__rng_8hpp_source.html#l00016">16</a> of file <a class="el" href="hypergeometric__rng_8hpp_source.html">hypergeometric_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acd88cd5e3b00b9d099acd2482ca6fbf2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::hypot </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2hypot_8hpp_source.html#l00013">13</a> of file <a class="el" href="fwd_2scal_2fun_2hypot_8hpp_source.html">hypot.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a490944d221f2b68baf4092667f490ae8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::hypot </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2hypot_8hpp_source.html#l00022">22</a> of file <a class="el" href="fwd_2scal_2fun_2hypot_8hpp_source.html">hypot.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd2f4416bf256405e515c0640dec5fe2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::hypot </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2hypot_8hpp_source.html#l00031">31</a> of file <a class="el" href="fwd_2scal_2fun_2hypot_8hpp_source.html">hypot.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0827e995b465dcb291c3de1a77e2b547"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::hypot </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the length of the hypoteneuse of a right triangle with sides of the specified lengths (C99). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot()</a> for double-based function.</p>
+<p>The partial derivatives are given by</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} \sqrt{x^2 + y^2} = \frac{x}{\sqrt{x^2 + y^2}}$" src="form_376.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} \sqrt{x^2 + y^2} = \frac{y}{\sqrt{x^2 + y^2}}$" src="form_377.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Length of first side. </td></tr>
+    <tr><td class="paramname">b</td><td>Length of second side. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Length of hypoteneuse. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2hypot_8hpp_source.html#l00053">53</a> of file <a class="el" href="rev_2scal_2fun_2hypot_8hpp_source.html">hypot.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abcb40e789140be0e0b93a44e055a6cfc"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::hypot </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the length of the hypoteneuse of a right triangle with sides of the specified lengths (C99). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot()</a> for double-based function.</p>
+<p>The derivative is</p>
+<p><img class="formulaInl" alt="$\frac{d}{d x} \sqrt{x^2 + c^2} = \frac{x}{\sqrt{x^2 + c^2}}$" src="form_378.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Length of first side. </td></tr>
+    <tr><td class="paramname">b</td><td>Length of second side. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Length of hypoteneuse. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2hypot_8hpp_source.html#l00071">71</a> of file <a class="el" href="rev_2scal_2fun_2hypot_8hpp_source.html">hypot.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5c9d2305ce89a46a7d182e6014fd0b3f"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::hypot </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the length of the hypoteneuse of a right triangle with sides of the specified lengths (C99). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot()</a> for double-based function.</p>
+<p>The derivative is</p>
+<p><img class="formulaInl" alt="$\frac{d}{d y} \sqrt{c^2 + y^2} = \frac{y}{\sqrt{c^2 + y^2}}$" src="form_379.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{hypot}(x, y) = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < 0 \text{ or } y < 0 \\ \sqrt{x^2+y^2} &amp; \mbox{if } x, y\geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_380.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{hypot}(x, y)}{\partial x} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < 0 \text{ or } y < 0 \\ \frac{x}{\sqrt{x^2+y^2}} &amp; \mbox{if } x, y\geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_381.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{hypot}(x, y)}{\partial y} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < 0 \text{ or } y < 0 \\ \frac{y}{\sqrt{x^2+y^2}} &amp; \mbox{if } x, y\geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_382.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Length of first side. </td></tr>
+    <tr><td class="paramname">b</td><td>Length of second side. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Length of hypoteneuse. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2hypot_8hpp_source.html#l00116">116</a> of file <a class="el" href="rev_2scal_2fun_2hypot_8hpp_source.html">hypot.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af7b430ac57e75ba2d55843cd868506e1"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::ibeta </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The normalized incomplete beta function of a, b, and x. </p>
+<p>Used to compute the cumulative density function for the beta distribution.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Shape parameter a &lt;= 0; a and b can't both be 0 </td></tr>
+    <tr><td class="paramname">b</td><td>Shape parameter b &lt;= 0 </td></tr>
+    <tr><td class="paramname">x</td><td>Random variate. 0 &lt;= x &lt;= 1 </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">if</td><td>constraints are violated or if any argument is NaN</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The normalized incomplete beta function. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2ibeta_8hpp_source.html#l00023">23</a> of file <a class="el" href="prim_2scal_2fun_2ibeta_8hpp_source.html">ibeta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8c7547dffd79bc54378fb3906345500e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::ibeta </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The normalized incomplete beta function of a, b, and x. </p>
+<p>Used to compute the cumulative density function for the beta distribution.</p>
+<p>Partial derivatives are those specified by wolfram alpha. The values were checked using both finite differences and by independent code for calculating the derivatives found in JSS (paper by Boik and Robison-Cox).</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Shape parameter. </td></tr>
+    <tr><td class="paramname">b</td><td>Shape parameter. </td></tr>
+    <tr><td class="paramname">x</td><td>Random variate.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The normalized incomplete beta function. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">if</td><td>any argument is NaN. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2ibeta_8hpp_source.html#l00238">238</a> of file <a class="el" href="rev_2scal_2fun_2ibeta_8hpp_source.html">ibeta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afa7ea9a437cf38e48ec72cec173d7465"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::identity_constrain </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the result of applying the identity constraint transform to the input. </p>
+<p>This method is effectively a no-op and is mainly useful as a placeholder in auto-generated code.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Transformed input.</dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="identity__constrain_8hpp_source.html#l00022">22</a> of file <a class="el" href="identity__constrain_8hpp_source.html">identity_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7925ed2737df76a38ae17c13f85e9141"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::identity_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname">&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the result of applying the identity constraint transform to the input and increments the log probability reference with the log absolute Jacobian determinant. </p>
+<p>This method is effectively a no-op and mainly useful as a placeholder in auto-generated code.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free scalar. lp Reference to log probability. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Transformed input. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="identity__constrain_8hpp_source.html#l00041">41</a> of file <a class="el" href="identity__constrain_8hpp_source.html">identity_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac50a1ae328bd1f7195b0c77a16a684ab"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::identity_free </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the result of applying the inverse of the identity constraint transform to the input. </p>
+<p>This method is effectively a no-op and mainly useful as a placeholder in auto-generated code.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Constrained scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The input. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="identity__free_8hpp_source.html#l00021">21</a> of file <a class="el" href="identity__free_8hpp_source.html">identity_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abb35d5a60bdc11a5d09eb629c50b5db5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::if_else </td>
+          <td>(</td>
+          <td class="paramtype">bool&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>y_true</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>y_false</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>If the specified condition is true, return the first variable, otherwise return the second variable. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">c</td><td>Boolean condition. </td></tr>
+    <tr><td class="paramname">y_true</td><td>Variable to return if condition is true. </td></tr>
+    <tr><td class="paramname">y_false</td><td>Variable to return if condition is false. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2if__else_8hpp_source.html#l00017">17</a> of file <a class="el" href="rev_2scal_2fun_2if__else_8hpp_source.html">if_else.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a65e2d3e3ab44f347f3ebaacb67845015"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_true , typename T_false &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_true, T_false&gt;::type stan::math::if_else </td>
+          <td>(</td>
+          <td class="paramtype">const bool&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_true&#160;</td>
+          <td class="paramname"><em>y_true</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_false&#160;</td>
+          <td class="paramname"><em>y_false</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the second argument if the first argument is true and otherwise return the second argument. </p>
+<p>This is just a convenience method to provide a function with the same behavior as the built-in ternary operator. In general, this function behaves as if defined by</p>
+<p><code>if_else(c, y1, y0) = c ? y1 : y0</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">c</td><td>Boolean condition value. </td></tr>
+    <tr><td class="paramname">y_true</td><td>Value to return if condition is true. </td></tr>
+    <tr><td class="paramname">y_false</td><td>Value to return if condition is false. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2if__else_8hpp_source.html#l00025">25</a> of file <a class="el" href="prim_2scal_2fun_2if__else_8hpp_source.html">if_else.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abc1dc3a479994402ee1959b75fa2c70f"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::if_else </td>
+          <td>(</td>
+          <td class="paramtype">bool&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>y_true</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>y_false</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>If the specified condition is true, return a new variable constructed from the first scalar, otherwise return the second variable. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">c</td><td>Boolean condition. </td></tr>
+    <tr><td class="paramname">y_true</td><td>Value to promote to variable and return if condition is true. </td></tr>
+    <tr><td class="paramname">y_false</td><td>Variable to return if condition is false. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2if__else_8hpp_source.html#l00029">29</a> of file <a class="el" href="rev_2scal_2fun_2if__else_8hpp_source.html">if_else.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a09912038470cc9d13d754296b1fe6949"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::if_else </td>
+          <td>(</td>
+          <td class="paramtype">bool&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>y_true</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>y_false</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>If the specified condition is true, return the first variable, otherwise return a new variable constructed from the second scalar. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">c</td><td>Boolean condition. </td></tr>
+    <tr><td class="paramname">y_true</td><td>Variable to return if condition is true. </td></tr>
+    <tr><td class="paramname">y_false</td><td>Value to promote to variable and return if condition is false. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2if__else_8hpp_source.html#l00044">44</a> of file <a class="el" href="rev_2scal_2fun_2if__else_8hpp_source.html">if_else.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a01192e5a2e1c208f78818b57b4d6aa78"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::inc_beta </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html#l00010">10</a> of file <a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">inc_beta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af9988ca802426ba048ba5d5d9ad71e2e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::inc_beta </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">20</a> of file <a class="el" href="fwd_2scal_2fun_2inc__beta_8hpp_source.html">inc_beta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abf29f2f025873816925c6786842d0afe"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::inc_beta </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2inc__beta_8hpp_source.html#l00045">45</a> of file <a class="el" href="rev_2scal_2fun_2inc__beta_8hpp_source.html">inc_beta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9c265eb14e915edc9bd457e93aaaf166"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::inc_beta_dda </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>z</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>digamma_a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>digamma_ab</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to a. </p>
+<p>The power series used to compute the deriative tends to converge slowly when a and b are large, especially if z approaches 1. The implementation will throw an exception if the series have not converged within 100,000 iterations. The current implementation has been tested for values of a and b up to 12500 and z = 0.999.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>scalar types of arguments </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>a </td></tr>
+    <tr><td class="paramname">b</td><td>b </td></tr>
+    <tr><td class="paramname">z</td><td>upper bound of the integral </td></tr>
+    <tr><td class="paramname">digamma_a</td><td>value of digamma(a) </td></tr>
+    <tr><td class="paramname">digamma_ab</td><td>value of digamma(b) </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>partial derivative of the incomplete beta with respect to a</dd></dl>
+<dl class="section pre"><dt>Precondition</dt><dd>a &gt;= 0 </dd>
+<dd>
+b &gt;= 0 </dd>
+<dd>
+0 &lt;= z &lt;= 1 </dd></dl>
+
+<p>Definition at line <a class="el" href="inc__beta__dda_8hpp_source.html#l00039">39</a> of file <a class="el" href="inc__beta__dda_8hpp_source.html">inc_beta_dda.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afc99a6a1e74fd1daeab96f7eeb3b05a8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::inc_beta_ddb </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>z</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>digamma_b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>digamma_ab</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to b. </p>
+<p>The power series used to compute the deriative tends to converge slowly when a and b are large, especailly if z approaches 1. The implementation will throw an exception if the series have not converged within 100,000 iterations. The current implementation has been tested for values of a and b up to 12500 and z = 0.999.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>scalar types of arguments </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>a </td></tr>
+    <tr><td class="paramname">b</td><td>b </td></tr>
+    <tr><td class="paramname">z</td><td>upper bound of the integral </td></tr>
+    <tr><td class="paramname">digamma_b</td><td>value of digamma(b) </td></tr>
+    <tr><td class="paramname">digamma_ab</td><td>value of digamma(b) </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>partial derivative of the incomplete beta with respect to b</dd></dl>
+<dl class="section pre"><dt>Precondition</dt><dd>a &gt;= 0 </dd>
+<dd>
+b &gt;= 0 </dd>
+<dd>
+0 &lt;= z &lt;= 1 </dd></dl>
+
+<p>Definition at line <a class="el" href="inc__beta__ddb_8hpp_source.html#l00039">39</a> of file <a class="el" href="inc__beta__ddb_8hpp_source.html">inc_beta_ddb.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2412f96d2114b4c15efb1ddbddaef35b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::inc_beta_ddz </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to z. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>scalar types of arguments </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>a </td></tr>
+    <tr><td class="paramname">b</td><td>b </td></tr>
+    <tr><td class="paramname">z</td><td>upper bound of the integral </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>partial derivative of the incomplete beta with respect to z</dd></dl>
+<dl class="section pre"><dt>Precondition</dt><dd>a &gt; 0 </dd>
+<dd>
+b &gt; 0 </dd>
+<dd>
+0 &lt; z &lt;= 1 </dd></dl>
+
+<p>Definition at line <a class="el" href="inc__beta__ddz_8hpp_source.html#l00027">27</a> of file <a class="el" href="inc__beta__ddz_8hpp_source.html">inc_beta_ddz.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3e5957e2cb19140e6c7bacf5c68320b7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::inc_beta_ddz </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inc__beta__ddz_8hpp_source.html#l00035">35</a> of file <a class="el" href="inc__beta__ddz_8hpp_source.html">inc_beta_ddz.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af81e05dfd6918524dafff10715f21a8d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::initialize </td>
+          <td>(</td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="initialize_8hpp_source.html#l00017">17</a> of file <a class="el" href="initialize_8hpp_source.html">initialize.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5ad7882cc7a7e2e07016e006d2092427"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename V &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;boost::is_arithmetic&lt;V&gt;::value, void&gt;::type stan::math::initialize </td>
+          <td>(</td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">V&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="initialize_8hpp_source.html#l00023">23</a> of file <a class="el" href="initialize_8hpp_source.html">initialize.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1cb47e7569cabd57a1c0c6816ca48293"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C, typename V &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::initialize </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const V &amp;&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="initialize_8hpp_source.html#l00027">27</a> of file <a class="el" href="initialize_8hpp_source.html">initialize.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad27706378f77dc22746ad74721d495d4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename V &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::initialize </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const V &amp;&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="initialize_8hpp_source.html#l00032">32</a> of file <a class="el" href="initialize_8hpp_source.html">initialize.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aebdf0a5cd40134110da3230d6fdea989"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::initialize_variable </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>variable</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>value</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Initialize variable to value. </p>
+<p>(Function may look pointless, but its needed to bottom out recursion.) </p>
+
+<p>Definition at line <a class="el" href="initialize__variable_8hpp_source.html#l00015">15</a> of file <a class="el" href="initialize__variable_8hpp_source.html">initialize_variable.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad1bb474a393fa5277ff69c9498cb3809"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::initialize_variable </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>matrix</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>value</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Initialize every cell in the matrix to the specified value. </p>
+
+<p>Definition at line <a class="el" href="initialize__variable_8hpp_source.html#l00024">24</a> of file <a class="el" href="initialize__variable_8hpp_source.html">initialize_variable.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ada62635d3e2320c9e36ac59a1c4bbdb0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::initialize_variable </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>variables</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>value</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Initialize the variables in the standard vector recursively. </p>
+
+<p>Definition at line <a class="el" href="initialize__variable_8hpp_source.html#l00034">34</a> of file <a class="el" href="initialize__variable_8hpp_source.html">initialize_variable.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8c507cff4b7b473cd86e1d428fb03136"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">unsigned int stan::math::int_step </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The integer step, or Heaviside, function. </p>
+<p>For double NaN input, int_step(NaN) returns 0.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{int\_step}(x) = \begin{cases} 0 &amp; \mbox{if } x \leq 0 \\ 1 &amp; \mbox{if } x > 0 \\[6pt] 0 &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_76.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Value to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1 if value is greater than 0 and 0 otherwise </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar argument type. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="int__step_8hpp_source.html#l00025">25</a> of file <a class="el" href="int__step_8hpp_source.html">int_step.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8e22309832ef6310a05a7f378562e330"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T_initial , typename T_param &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;std::vector&lt;typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T_initial, T_param&gt;::type&gt; &gt; stan::math::integrate_ode_bdf </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T_initial &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>t0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>ts</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T_param &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x_int</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>msgs</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>relative_tolerance</em> = <code>1e-10</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>absolute_tolerance</em> = <code>1e-10</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">long int&#160;</td>
+          <td class="paramname"><em>max_num_steps</em> = <code>1e8</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the solutions for the specified system of ordinary differential equations given the specified initial state, initial times, times of desired solution, and parameters and data, writing error and warning messages to the specified stream. </p>
+<p>This function is templated to allow the initial times to be either data or autodiff variables and the parameters to be data or autodiff variables. The autodiff-based implementation for reverse-mode are defined in namespace <code><a class="el" href="namespacestan_1_1math.html" title="Matrices and templated mathematical functions. ">stan::math</a></code> and may be invoked via argument-dependent lookup by including their headers.</p>
+<p>The solver used is based on the backward differentiation formula which is an implicit numerical integration scheme appropiate for stiff ODE systems.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>type of ODE system function. </td></tr>
+    <tr><td class="paramname">T_initial</td><td>type of scalars for initial values. </td></tr>
+    <tr><td class="paramname">T_param</td><td>type of scalars for parameters. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>functor for the base ordinary differential equation. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y0</td><td>initial state. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">t0</td><td>initial time. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ts</td><td>times of the desired solutions, in strictly increasing order, all greater than the initial time. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>parameter vector for the ODE. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>continuous data vector for the ODE. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x_int</td><td>integer data vector for the ODE. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">msgs</td><td>the print stream for warning messages. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">relative_tolerance</td><td>relative tolerance passed to CVODE. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">absolute_tolerance</td><td>absolute tolerance passed to CVODE. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">max_num_steps</td><td>maximal number of admissable steps between time-points </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>a vector of states, each state being a vector of the same size as the state variable, corresponding to a time in ts. </dd></dl>
+
+<p>Definition at line <a class="el" href="integrate__ode__bdf_8hpp_source.html#l00083">83</a> of file <a class="el" href="integrate__ode__bdf_8hpp_source.html">integrate_ode_bdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a58c5864d8bd873b60b8a377ff1bc515f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T1 , typename T2 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;std::vector&lt;typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T1, T2&gt;::type&gt; &gt; stan::math::integrate_ode_rk45 </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T1 &gt;&#160;</td>
+          <td class="paramname"><em>y0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>t0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>ts</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x_int</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>msgs</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>relative_tolerance</em> = <code>1e-6</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>absolute_tolerance</em> = <code>1e-6</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>max_num_steps</em> = <code>1E6</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the solutions for the specified system of ordinary differential equations given the specified initial state, initial times, times of desired solution, and parameters and data, writing error and warning messages to the specified stream. </p>
+<p><b>Warning:</b> If the system of equations is stiff, roughly defined by having varying time scales across dimensions, then this solver is likely to be slow.</p>
+<p>This function is templated to allow the initial times to be either data or autodiff variables and the parameters to be data or autodiff variables. The autodiff-based implementation for reverse-mode are defined in namespace <code><a class="el" href="namespacestan_1_1math.html" title="Matrices and templated mathematical functions. ">stan::math</a></code> and may be invoked via argument-dependent lookup by including their headers.</p>
+<p>This function uses the <a href="http://en.wikipedia.org/wiki/Dormand–Prince_method">Dormand-Prince method</a> as implemented in Boost's <code> boost::numeric::odeint::runge_kutta_dopri5</code> integrator.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>type of ODE system function. </td></tr>
+    <tr><td class="paramname">T1</td><td>type of scalars for initial values. </td></tr>
+    <tr><td class="paramname">T2</td><td>type of scalars for parameters. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>functor for the base ordinary differential equation. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y0</td><td>initial state. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">t0</td><td>initial time. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">ts</td><td>times of the desired solutions, in strictly increasing order, all greater than the initial time. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>parameter vector for the ODE. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>continuous data vector for the ODE. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x_int</td><td>integer data vector for the ODE. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">msgs</td><td>the print stream for warning messages. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">relative_tolerance</td><td>relative tolerance parameter for Boost's ode solver. Defaults to 1e-6. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">absolute_tolerance</td><td>absolute tolerance parameter for Boost's ode solver. Defaults to 1e-6. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">max_num_steps</td><td>maximum number of steps to take within the Boost ode solver. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>a vector of states, each state being a vector of the same size as the state variable, corresponding to a time in ts. </dd></dl>
+
+<p>Definition at line <a class="el" href="integrate__ode__rk45_8hpp_source.html#l00067">67</a> of file <a class="el" href="integrate__ode__rk45_8hpp_source.html">integrate_ode_rk45.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab64935e0bdac8227bfd9608285d4e699"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::inv </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2inv_8hpp_source.html#l00012">12</a> of file <a class="el" href="prim_2scal_2fun_2inv_8hpp_source.html">inv.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2a5386561ba622e05cb64345fdad6a3b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::inv </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2inv_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2inv_8hpp_source.html">inv.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad0b645189bc4899956bdba20158a0ee6"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::inv </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{inv}(x) = \begin{cases} \frac{1}{x} &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_383.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{inv}(x)}{\partial x} = \begin{cases} -\frac{1}{x^2} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_384.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2inv_8hpp_source.html#l00042">42</a> of file <a class="el" href="rev_2scal_2fun_2inv_8hpp_source.html">inv.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a24a32a9537cf8218b73109b93379b5b1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof&gt;::type stan::math::inv_chi_square_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inv__chi__square__ccdf__log_8hpp_source.html#l00033">33</a> of file <a class="el" href="inv__chi__square__ccdf__log_8hpp_source.html">inv_chi_square_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a372e143655badb8f25e542697f689f39"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof&gt;::type stan::math::inv_chi_square_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inv__chi__square__cdf_8hpp_source.html#l00033">33</a> of file <a class="el" href="inv__chi__square__cdf_8hpp_source.html">inv_chi_square_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aae005376416b29d9118470b9c2d18133"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof&gt;::type stan::math::inv_chi_square_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inv__chi__square__cdf__log_8hpp_source.html#l00033">33</a> of file <a class="el" href="inv__chi__square__cdf__log_8hpp_source.html">inv_chi_square_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aae83a74c666a703da52db606eb478f50"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_dof &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof&gt;::type stan::math::inv_chi_square_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of an inverse chi-squared density for y with the specified degrees of freedom parameter. </p>
+<p>The degrees of freedom prarameter must be greater than 0. y must be greater than 0.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} y &amp;\sim&amp; \mbox{\sf{Inv-}}\chi^2_\nu \\ \log (p (y \, |\, \nu)) &amp;=&amp; \log \left( \frac{2^{-\nu / 2}}{\Gamma (\nu / 2)} y^{- (\nu / 2 + 1)} \exp^{-1 / (2y)} \right) \\ &amp;=&amp; - \frac{\nu}{2} \log(2) - \log (\Gamma (\nu / 2)) - (\frac{\nu}{2} + 1) \log(y) - \frac{1}{2y} \\ &amp; &amp; \mathrm{ where } \; y > 0 \end{eqnarray*}" src="form_196.png"/>
+</p>
+ <dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">nu</td><td>Degrees of freedom. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if nu is not greater than or equal to 0 </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if y is not greater than or equal to 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_dof</td><td>Type of degrees of freedom. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="inv__chi__square__log_8hpp_source.html#l00052">52</a> of file <a class="el" href="inv__chi__square__log_8hpp_source.html">inv_chi_square_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a19b9a4f2fd21b540a7d50a37d23f0869"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof&gt;::type stan::math::inv_chi_square_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inv__chi__square__log_8hpp_source.html#l00142">142</a> of file <a class="el" href="inv__chi__square__log_8hpp_source.html">inv_chi_square_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8159125045ed1c5ee551537c9983921f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::inv_chi_square_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inv__chi__square__rng_8hpp_source.html#l00028">28</a> of file <a class="el" href="inv__chi__square__rng_8hpp_source.html">inv_chi_square_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aba00ed1e73c3a2366226aa4c83e4d8b9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::inv_cloglog </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2inv__cloglog_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2inv__cloglog_8hpp_source.html">inv_cloglog.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab834f530318a33700ba2c66b74ea3bf5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::inv_cloglog </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the inverse complementary log-log function applied specified variable (stan). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#aba00ed1e73c3a2366226aa4c83e4d8b9">stan::math::inv_cloglog()</a> for the double-based version.</p>
+<p>The derivative is given by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \mbox{cloglog}^{-1}(x) = \exp (x - \exp (x))$" src="form_385.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The inverse complementary log-log of the specified argument. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2inv__cloglog_8hpp_source.html#l00036">36</a> of file <a class="el" href="rev_2scal_2fun_2inv__cloglog_8hpp_source.html">inv_cloglog.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a008bf0b6c2ab38d088b0aba5d7b10c8d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::inv_cloglog </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The inverse complementary log-log function. </p>
+<p>The function is defined by</p>
+<p><code>inv_cloglog(x) = 1 - exp(-exp(x))</code>.</p>
+<p>This function can be used to implement the inverse link function for complementary-log-log regression.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{inv\_cloglog}(y) = \begin{cases} \mbox{cloglog}^{-1}(y) &amp; \mbox{if } -\infty\leq y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } y = \textrm{NaN} \end{cases} \]" src="form_77.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{inv\_cloglog}(y)}{\partial y} = \begin{cases} \frac{\partial\, \mbox{cloglog}^{-1}(y)}{\partial y} &amp; \mbox{if } -\infty\leq y\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } y = \textrm{NaN} \end{cases} \]" src="form_78.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{cloglog}^{-1}(y) = 1 - \exp \left( - \exp(y) \right) \]" src="form_79.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \mbox{cloglog}^{-1}(y)}{\partial y} = \exp(y-\exp(y)) \]" src="form_80.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Inverse complementary log-log of the argument. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2inv__cloglog_8hpp_source.html#l00049">49</a> of file <a class="el" href="prim_2scal_2fun_2inv__cloglog_8hpp_source.html">inv_cloglog.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af2b35d989d0d1a9cb6ea163bbbd14ed3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::inv_gamma_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inv__gamma__ccdf__log_8hpp_source.html#l00035">35</a> of file <a class="el" href="inv__gamma__ccdf__log_8hpp_source.html">inv_gamma_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a195c84d2f45abc7bcf28c1d9e3fd8cf8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::inv_gamma_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The CDF of an inverse gamma density for y with the specified shape and scale parameters. </p>
+<p>y, shape, and scale parameters must be greater than 0.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">alpha</td><td>Shape parameter. </td></tr>
+    <tr><td class="paramname">beta</td><td>Scale parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if alpha is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if beta is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if y is not greater than 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_shape</td><td>Type of shape. </td></tr>
+    <tr><td class="paramname">T_scale</td><td>Type of scale. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="inv__gamma__cdf_8hpp_source.html#l00051">51</a> of file <a class="el" href="inv__gamma__cdf_8hpp_source.html">inv_gamma_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0e622170c7270f1a441235f98248d3a3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::inv_gamma_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inv__gamma__cdf__log_8hpp_source.html#l00035">35</a> of file <a class="el" href="inv__gamma__cdf__log_8hpp_source.html">inv_gamma_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad34fa642137e07f723c995d42e78df2c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::inv_gamma_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of an inverse gamma density for y with the specified shape and scale parameters. </p>
+<p>Shape and scale parameters must be greater than 0. y must be greater than 0.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">alpha</td><td>Shape parameter. </td></tr>
+    <tr><td class="paramname">beta</td><td>Scale parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if alpha is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if beta is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if y is not greater than 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_shape</td><td>Type of shape. </td></tr>
+    <tr><td class="paramname">T_scale</td><td>Type of scale. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="inv__gamma__log_8hpp_source.html#l00051">51</a> of file <a class="el" href="inv__gamma__log_8hpp_source.html">inv_gamma_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2a6c6fb67d4de25708140e5fce64e4f4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::inv_gamma_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inv__gamma__log_8hpp_source.html#l00163">163</a> of file <a class="el" href="inv__gamma__log_8hpp_source.html">inv_gamma_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3222e632ba4aaeb90753a96520799867"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::inv_gamma_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>beta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inv__gamma__rng_8hpp_source.html#l00030">30</a> of file <a class="el" href="inv__gamma__rng_8hpp_source.html">inv_gamma_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a76a22ee34432be58edb4b6ed9469370a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::inv_logit </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2inv__logit_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2inv__logit_8hpp_source.html">inv_logit.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad7d7861511ad7d8a82e17a1e9fa573de"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::inv_logit </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The inverse logit function for variables (stan). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit()</a> for the double-based version.</p>
+<p>The derivative of inverse logit is</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \mbox{logit}^{-1}(x) = \mbox{logit}^{-1}(x) (1 - \mbox{logit}^{-1}(x))$" src="form_386.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Argument variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Inverse logit of argument. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2inv__logit_8hpp_source.html#l00034">34</a> of file <a class="el" href="rev_2scal_2fun_2inv__logit_8hpp_source.html">inv_logit.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad2c4834fc581f55acf8491ec3f80ecb7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::inv_logit </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the inverse logit function applied to the argument. </p>
+<p>The inverse logit function is defined by</p>
+<p><img class="formulaInl" alt="$\mbox{logit}^{-1}(x) = \frac{1}{1 + \exp(-x)}$" src="form_81.png"/>.</p>
+<p>This function can be used to implement the inverse link function for logistic regression.</p>
+<p>The inverse to this function is <code><a class="el" href="namespacestan_1_1math.html#ab025eaf1e6f5c920f69c37e7a7f8b319">stan::math::logit</a></code>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{inv\_logit}(y) = \begin{cases} \mbox{logit}^{-1}(y) &amp; \mbox{if } -\infty\leq y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } y = \textrm{NaN} \end{cases} \]" src="form_82.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{inv\_logit}(y)}{\partial y} = \begin{cases} \frac{\partial\, \mbox{logit}^{-1}(y)}{\partial y} &amp; \mbox{if } -\infty\leq y\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } y = \textrm{NaN} \end{cases} \]" src="form_83.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{logit}^{-1}(y) = \frac{1}{1 + \exp(-y)} \]" src="form_84.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \mbox{logit}^{-1}(y)}{\partial y} = \frac{\exp(y)}{(\exp(y)+1)^2} \]" src="form_85.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Inverse logit of argument. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html#l00052">52</a> of file <a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">inv_logit.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a91bcae4b6bdf262f91673bf7b15fea99"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::inv_Phi </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>p</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2inv___phi_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2inv___phi_8hpp_source.html">inv_Phi.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a24ce9274d4f9c0ebe500fbe3a0ac4560"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::inv_Phi </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>p</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The inverse of the unit normal cumulative distribution function. </p>
+<p>The return value for a specified input probability, $p$, is the unit normal variate, $x$, such that</p>
+<p><img class="formulaInl" alt="$\Phi(x) = \int_{-\infty}^x \mbox{\sf Norm}(x|0, 1) \ dx = p$" src="form_86.png"/></p>
+<p>Algorithm first derived in 2003 by Peter Jon Aklam at <a href="http://home.online.no/~pjacklam/notes/invnorm/">http://home.online.no/~pjacklam/notes/invnorm/</a></p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">p</td><td>Argument between 0 and 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Real number </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2inv___phi_8hpp_source.html#l00026">26</a> of file <a class="el" href="prim_2scal_2fun_2inv___phi_8hpp_source.html">inv_Phi.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3450dbd4a7dae0165e11a40e1b0d4b37"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::inv_Phi </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>p</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The inverse of unit normal cumulative density function. </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#a91bcae4b6bdf262f91673bf7b15fea99">stan::math::inv_Phi()</a> for the double-based version.</p>
+<p>The derivative is the reciprocal of unit normal density function,</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">p</td><td>Probability </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The unit normal inverse cdf evaluated at p </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2inv___phi_8hpp_source.html#l00037">37</a> of file <a class="el" href="rev_2scal_2fun_2inv___phi_8hpp_source.html">inv_Phi.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4b4db5e98585c71cc7c14319f96e0c04"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::inv_sqrt </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2inv__sqrt_8hpp_source.html#l00012">12</a> of file <a class="el" href="prim_2scal_2fun_2inv__sqrt_8hpp_source.html">inv_sqrt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aca2d4971bfd22beacb304bdd5b9d3395"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::inv_sqrt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2inv__sqrt_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2inv__sqrt_8hpp_source.html">inv_sqrt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4f3e1382ec567be20643caef30076869"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::inv_sqrt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{inv\_sqrt}(x) = \begin{cases} \frac{1}{\sqrt{x}} &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_387.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{inv\_sqrt}(x)}{\partial x} = \begin{cases} -\frac{1}{2\sqrt{x^3}} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_388.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2inv__sqrt_8hpp_source.html#l00042">42</a> of file <a class="el" href="rev_2scal_2fun_2inv__sqrt_8hpp_source.html">inv_sqrt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3d2e922aa13e2dfae510fc13d86eaea3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::inv_square </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2inv__square_8hpp_source.html#l00012">12</a> of file <a class="el" href="prim_2scal_2fun_2inv__square_8hpp_source.html">inv_square.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa7c1f6b0f3c9f48fa30e09f2d929336d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::inv_square </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2inv__square_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2inv__square_8hpp_source.html">inv_square.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa347bbaada35746d4fbd644549416ce3"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::inv_square </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{inv\_square}(x) = \begin{cases} \frac{1}{x^2} &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_389.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{inv\_square}(x)}{\partial x} = \begin{cases} -\frac{2}{x^3} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_390.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2inv__square_8hpp_source.html#l00042">42</a> of file <a class="el" href="rev_2scal_2fun_2inv__square_8hpp_source.html">inv_square.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a56c063912bf059644103aaf8787f71e9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_dof , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_dof, T_scale&gt;::type stan::math::inv_wishart_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>W</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_scale, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>S</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of the Inverse-Wishart density for the given W, degrees of freedom, and scale matrix. </p>
+<p>The scale matrix, S, must be k x k, symmetric, and semi-positive definite.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} W &amp;\sim&amp; \mbox{\sf{Inv-Wishart}}_{\nu} (S) \\ \log (p (W \, |\, \nu, S) ) &amp;=&amp; \log \left( \left(2^{\nu k/2} \pi^{k (k-1) /4} \prod_{i=1}^k{\Gamma (\frac{\nu + 1 - i}{2})} \right)^{-1} \times \left| S \right|^{\nu/2} \left| W \right|^{-(\nu + k + 1) / 2} \times \exp (-\frac{1}{2} \mbox{tr} (S W^{-1})) \right) \\ &amp;=&amp; -\frac{\nu k}{2}\log(2) - \frac{k (k-1)}{4} \log(\pi) - \sum_{i=1}^{k}{\log (\Gamma (\frac{\nu+1-i}{2}))} +\frac{\nu}{2} \log(\det(S)) - \frac{\nu+k+1}{2}\log (\det(W)) - \frac{1}{2} \mbox{tr}(S W^{-1}) \end{eqnarray*}" src="form_24.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">W</td><td>A scalar matrix </td></tr>
+    <tr><td class="paramname">nu</td><td>Degrees of freedom </td></tr>
+    <tr><td class="paramname">S</td><td>The scale matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the Inverse-Wishart density at W given nu and S. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if nu is not greater than k-1 </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if S is not square, not symmetric, or not semi-positive definite. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_dof</td><td>Type of degrees of freedom. </td></tr>
+    <tr><td class="paramname">T_scale</td><td>Type of scale. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="inv__wishart__log_8hpp_source.html#l00052">52</a> of file <a class="el" href="inv__wishart__log_8hpp_source.html">inv_wishart_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a96f8f9a5add1c91cbe30c887265da81f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_dof, T_scale&gt;::type stan::math::inv_wishart_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>W</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_scale, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>S</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inv__wishart__log_8hpp_source.html#l00125">125</a> of file <a class="el" href="inv__wishart__log_8hpp_source.html">inv_wishart_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a639b9495c8bb2917100b52b7ed889d3c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::inv_wishart_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="inv__wishart__rng_8hpp_source.html#l00021">21</a> of file <a class="el" href="inv__wishart__rng_8hpp_source.html">inv_wishart_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9bcb1af5657f92ccadf5204fc43377fd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::invalid_argument </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Throw an invalid_argument exception with a consistently formatted message. </p>
+<p>This is an abstraction for all Stan functions to use when throwing invalid argument. This will allow us to change the behavior for all functions at once.</p>
+<p>The message is: "&lt;function&gt;: &lt;name&gt; &lt;msg1&gt;&lt;y&gt;&lt;msg2&gt;"</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Name of the function </td></tr>
+    <tr><td class="paramname">name</td><td>Name of the variable </td></tr>
+    <tr><td class="paramname">y</td><td>Variable </td></tr>
+    <tr><td class="paramname">msg1</td><td>Message to print before the variable </td></tr>
+    <tr><td class="paramname">msg2</td><td>Message to print after the variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="invalid__argument_8hpp_source.html#l00031">31</a> of file <a class="el" href="invalid__argument_8hpp_source.html">invalid_argument.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aacf5709c614035ef60053a348e18554c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::invalid_argument </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg1</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Throw an invalid_argument exception with a consistently formatted message. </p>
+<p>This is an abstraction for all Stan functions to use when throwing invalid argument. This will allow us to change the behavior for all functions at once. (We've already changed behavior mulitple times up to Stan v2.5.0.)</p>
+<p>The message is: "&lt;function&gt;: &lt;name&gt; &lt;msg1&gt;&lt;y&gt;"</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Name of the function </td></tr>
+    <tr><td class="paramname">name</td><td>Name of the variable </td></tr>
+    <tr><td class="paramname">y</td><td>Variable </td></tr>
+    <tr><td class="paramname">msg1</td><td>Message to print before the variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="invalid__argument_8hpp_source.html#l00066">66</a> of file <a class="el" href="invalid__argument_8hpp_source.html">invalid_argument.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="add7b2630385b99ef7045818ba8fe2a97"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::invalid_argument_vec </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Throw an invalid argument exception with a consistently formatted message. </p>
+<p>This is an abstraction for all Stan functions to use when throwing invalid arguments. This will allow us to change the behavior for all functions at once. (We've already changed behavior mulitple times up to Stan v2.5.0.)</p>
+<p>The message is: "&lt;function&gt;: &lt;name&gt;[&lt;i+error_index&gt;] &lt;msg1&gt;&lt;y&gt;" where <a class="el" href="structstan_1_1error__index.html">error_index</a> is the value of <a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a> which indicates whether the message should be 0 or 1 indexed.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Name of the function </td></tr>
+    <tr><td class="paramname">name</td><td>Name of the variable </td></tr>
+    <tr><td class="paramname">y</td><td>Variable </td></tr>
+    <tr><td class="paramname">i</td><td>Index </td></tr>
+    <tr><td class="paramname">msg1</td><td>Message to print before the variable </td></tr>
+    <tr><td class="paramname">msg2</td><td>Message to print after the variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="invalid__argument__vec_8hpp_source.html#l00038">38</a> of file <a class="el" href="invalid__argument__vec_8hpp_source.html">invalid_argument_vec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a309a8690ee903eea7e5847e4d93483f4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::invalid_argument_vec </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Throw an invalid argument exception with a consistently formatted message. </p>
+<p>This is an abstraction for all Stan functions to use when throwing invalid arguments. This will allow us to change the behavior for all functions at once. (We've already changed behavior mulitple times up to Stan v2.5.0.)</p>
+<p>The message is: "&lt;function&gt;: &lt;name&gt;[&lt;i+error_index&gt;] &lt;msg1&gt;&lt;y&gt;" where <a class="el" href="structstan_1_1error__index.html">error_index</a> is the value of <a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">stan::error_index::value</a> which indicates whether the message should be 0 or 1 indexed.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Name of the function </td></tr>
+    <tr><td class="paramname">name</td><td>Name of the variable </td></tr>
+    <tr><td class="paramname">y</td><td>Variable </td></tr>
+    <tr><td class="paramname">i</td><td>Index </td></tr>
+    <tr><td class="paramname">msg</td><td>Message to print before the variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td></td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="invalid__argument__vec_8hpp_source.html#l00074">74</a> of file <a class="el" href="invalid__argument__vec_8hpp_source.html">invalid_argument_vec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad621964cbb3b06ba80811cd58e3048a0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, R, C&gt; stan::math::inverse </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the inverse of the specified matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Inverse of the matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2inverse_8hpp_source.html#l00018">18</a> of file <a class="el" href="prim_2mat_2fun_2inverse_8hpp_source.html">inverse.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aab64bf2ca0e8e628e49119ed995c1c67"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::inverse </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2inverse_8hpp_source.html#l00020">20</a> of file <a class="el" href="fwd_2mat_2fun_2inverse_8hpp_source.html">inverse.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1edc35cc581dda178263f6a4a4fd1158"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Vector &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::inverse_softmax </td>
+          <td>(</td>
+          <td class="paramtype">const Vector &amp;&#160;</td>
+          <td class="paramname"><em>simplex</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Vector &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Writes the inverse softmax of the simplex argument into the second argument. </p>
+<p>See <code><a class="el" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">stan::math::softmax</a></code> for the inverse function and a definition of the relation.</p>
+<p>The inverse softmax function is defined by</p>
+<p><img class="formulaInl" alt="$\mbox{inverse\_softmax}(x)[i] = \log x[i]$" src="form_87.png"/>.</p>
+<p>This function defines the inverse of <code><a class="el" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">stan::math::softmax</a></code> up to a scaling factor.</p>
+<p>Because of the definition, values of 0.0 in the simplex are converted to negative infinity, and values of 1.0 are converted to 0.0.</p>
+<p>There is no check that the input vector is a valid simplex vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">simplex</td><td>Simplex vector input. </td></tr>
+    <tr><td class="paramname">y</td><td>Vector into which the inverse softmax is written. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td>if size of the input and output vectors differ. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="inverse__softmax_8hpp_source.html#l00034">34</a> of file <a class="el" href="inverse__softmax_8hpp_source.html">inverse_softmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a69d2c003918b45e95edb84ea58b84c68"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::inverse_spd </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the inverse of the specified symmetric, pos/neg-definite matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Inverse of the matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="inverse__spd_8hpp_source.html#l00020">20</a> of file <a class="el" href="inverse__spd_8hpp_source.html">inverse_spd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7add35b0758b1d0541f7e919c36412f9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::is_aligned </td>
+          <td>(</td>
+          <td class="paramtype">T *&#160;</td>
+          <td class="paramname"><em>ptr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">unsigned int&#160;</td>
+          <td class="paramname"><em>bytes_aligned</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return <code>true</code> if the specified pointer is aligned on the number of bytes. </p>
+<p>This doesn't really make sense other than for powers of 2.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">ptr</td><td>Pointer to test. </td></tr>
+    <tr><td class="paramname">bytes_aligned</td><td>Number of bytes of alignment required. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if pointer is aligned. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">Type</td><td>of object to which pointer points. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="stack__alloc_8hpp_source.html#l00030">30</a> of file <a class="el" href="stack__alloc_8hpp_source.html">stack_alloc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae0020ce04cad9a5eb9b55abb690863fa"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::is_inf </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns 1 if the input is infinite and 0 otherwise. </p>
+<p>Delegates to <code><a class="el" href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684" title="Checks if the given number is infinite. ">boost::math::isinf</a></code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>1</code> if the value is infinite. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2is__inf_8hpp_source.html#l00019">19</a> of file <a class="el" href="prim_2scal_2fun_2is__inf_8hpp_source.html">is_inf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad359149ebad087910f96e62f88287c1f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::is_inf </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns 1 if the input's value is infinite and 0 otherwise. </p>
+<p>Delegates to <code><a class="el" href="namespacestan_1_1math.html#ad359149ebad087910f96e62f88287c1f" title="Returns 1 if the input&#39;s value is infinite and 0 otherwise. ">stan::math::is_inf</a></code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>1</code> if the value is infinite and <code>0</code> otherwise. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2is__inf_8hpp_source.html#l00022">22</a> of file <a class="el" href="fwd_2scal_2fun_2is__inf_8hpp_source.html">is_inf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2c050932da2e90902bda668170379545"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::is_inf </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns 1 if the input's value is infinite and 0 otherwise. </p>
+<p>Delegates to <code><a class="el" href="namespacestan_1_1math.html#ad359149ebad087910f96e62f88287c1f" title="Returns 1 if the input&#39;s value is infinite and 0 otherwise. ">stan::math::is_inf</a></code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Value to test.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>1</code> if the value is infinite and <code>0</code> otherwise. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2is__inf_8hpp_source.html#l00023">23</a> of file <a class="el" href="rev_2scal_2fun_2is__inf_8hpp_source.html">is_inf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae01488df30a81c36b1a00391b9541e1d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::is_nan </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns 1 if the input is NaN and 0 otherwise. </p>
+<p>Delegates to <code><a class="el" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea" title="Checks if the given number is NaN. ">boost::math::isnan</a></code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>1</code> if the value is NaN. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2is__nan_8hpp_source.html#l00018">18</a> of file <a class="el" href="prim_2scal_2fun_2is__nan_8hpp_source.html">is_nan.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acf8ef1e06cddc77c4c56311f937cc183"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::is_nan </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns 1 if the input's value is NaN and 0 otherwise. </p>
+<p>Delegates to <code><a class="el" href="namespacestan_1_1math.html#ae01488df30a81c36b1a00391b9541e1d" title="Returns 1 if the input is NaN and 0 otherwise. ">stan::math::is_nan(double)</a></code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Value to test.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>1</code> if the value is NaN and <code>0</code> otherwise. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2is__nan_8hpp_source.html#l00021">21</a> of file <a class="el" href="rev_2scal_2fun_2is__nan_8hpp_source.html">is_nan.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a921dd9cd85ce1a6fca79c7b07cd80b99"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::is_nan </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns 1 if the input's value is NaN and 0 otherwise. </p>
+<p>Delegates to <code><a class="el" href="namespacestan_1_1math.html#a921dd9cd85ce1a6fca79c7b07cd80b99" title="Returns 1 if the input&#39;s value is NaN and 0 otherwise. ">stan::math::is_nan</a></code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>1</code> if the value is NaN and <code>0</code> otherwise. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2is__nan_8hpp_source.html#l00022">22</a> of file <a class="el" href="fwd_2scal_2fun_2is__nan_8hpp_source.html">is_nan.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a40c14c26dc55a985e05695b3ff1eeef2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::is_uninitialized </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns <code>true</code> if the specified variable is uninitialized. </p>
+<p>Arithmetic types are always initialized by definition (the value is not specified).</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of object to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Object to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the specified object is uninitialized. </dd>
+<dd>
+false if input is NaN. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2is__uninitialized_8hpp_source.html#l00019">19</a> of file <a class="el" href="prim_2scal_2fun_2is__uninitialized_8hpp_source.html">is_uninitialized.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2f8d228f0969deddaf2c485f07452fd5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::is_uninitialized </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns <code>true</code> if the specified variable is uninitialized. </p>
+<p>This overload of the <code><a class="el" href="namespacestan_1_1math.html#a40c14c26dc55a985e05695b3ff1eeef2" title="Returns true if the specified variable is uninitialized. ">stan::math::is_uninitialized()</a></code> function delegates the return to the <code><a class="el" href="namespacestan_1_1math.html#a40c14c26dc55a985e05695b3ff1eeef2" title="Returns true if the specified variable is uninitialized. ">is_uninitialized()</a></code> method on the specified variable.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Object to test. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the specified object is uninitialized. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2is__uninitialized_8hpp_source.html#l00023">23</a> of file <a class="el" href="rev_2scal_2fun_2is__uninitialized_8hpp_source.html">is_uninitialized.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a130c490b4d72b62bac8d835492731da3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::jacobian </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>J</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2functor_2jacobian_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2mat_2functor_2jacobian_8hpp_source.html">jacobian.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9ceeaed84c0c91fea1c362395f4e464c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::jacobian </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>J</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2functor_2jacobian_8hpp_source.html#l00015">15</a> of file <a class="el" href="rev_2mat_2functor_2jacobian_8hpp_source.html">jacobian.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a02477dd575f3d242826df72489faac4c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename TL &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::lb_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const TL&#160;</td>
+          <td class="paramname"><em>lb</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the lower-bounded value for the specified unconstrained input and specified lower bound. </p>
+<p>The transform applied is</p>
+<p><img class="formulaInl" alt="$f(x) = \exp(x) + L$" src="form_88.png"/></p>
+<p>where <img class="formulaInl" alt="$L$" src="form_9.png"/> is the constant lower bound.</p>
+<p>If the lower bound is negative infinity, this function reduces to <code>identity_constrain(x)</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Unconstrained scalar input. </td></tr>
+    <tr><td class="paramname">lb</td><td>Lower-bound on constrained ouptut. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Lower-bound constrained value correspdonding to inputs. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">TL</td><td>Type of lower bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="lb__constrain_8hpp_source.html#l00035">35</a> of file <a class="el" href="lb__constrain_8hpp_source.html">lb_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8344b3154a81f8601776582238bac99f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename TL &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T, TL&gt;::type stan::math::lb_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const TL&#160;</td>
+          <td class="paramname"><em>lb</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the lower-bounded value for the speicifed unconstrained input and specified lower bound, incrementing the specified reference with the log absolute Jacobian determinant of the transform. </p>
+<p>If the lower bound is negative infinity, this function reduces to <code>identity_constraint(x, lp)</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Unconstrained scalar input. </td></tr>
+    <tr><td class="paramname">lb</td><td>Lower-bound on output. </td></tr>
+    <tr><td class="paramname">lp</td><td>Reference to log probability to increment. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Loer-bound constrained value corresponding to inputs. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">TL</td><td>Type of lower bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="lb__constrain_8hpp_source.html#l00061">61</a> of file <a class="el" href="lb__constrain_8hpp_source.html">lb_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0e416b7c30dd2ea4fc78254732fa8a52"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename TL &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T, TL&gt;::type stan::math::lb_free </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const TL&#160;</td>
+          <td class="paramname"><em>lb</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the unconstrained value that produces the specified lower-bound constrained value. </p>
+<p>If the lower bound is negative infinity, it is ignored and the function reduces to <code>identity_free(y)</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Input scalar. </td></tr>
+    <tr><td class="paramname">lb</td><td>Lower bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Unconstrained value that produces the input when constrained. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">TL</td><td>Type of lower bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if y is lower than the lower bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="lb__free_8hpp_source.html#l00032">32</a> of file <a class="el" href="lb__free_8hpp_source.html">lb_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac51be9d210e223a8aa4241e2d725e295"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::lbeta </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2scal_2fun_2lbeta_8hpp_source.html">lbeta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2ef6e7b5ed43b5410d852961a8050647"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::lbeta </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2scal_2fun_2lbeta_8hpp_source.html">lbeta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a00c0745f2a667014a98b6113cc80b2a5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::lbeta </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00038">38</a> of file <a class="el" href="fwd_2scal_2fun_2lbeta_8hpp_source.html">lbeta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af37c166c79a3e66d101d682b3474f6ab"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T1, T2&gt;::type stan::math::lbeta </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the log of the beta function applied to the specified arguments. </p>
+<p>The beta function is defined for <img class="formulaInl" alt="$a > 0$" src="form_89.png"/> and <img class="formulaInl" alt="$b > 0$" src="form_90.png"/> by</p>
+<p><img class="formulaInl" alt="$\mbox{B}(a, b) = \frac{\Gamma(a) \Gamma(b)}{\Gamma(a+b)}$" src="form_91.png"/>.</p>
+<p>This function returns its log,</p>
+<p><img class="formulaInl" alt="$\log \mbox{B}(a, b) = \log \Gamma(a) + \log \Gamma(b) - \log \Gamma(a+b)$" src="form_92.png"/>.</p>
+<p>See <a class="el" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">boost::math::lgamma()</a> for the double-based and <a class="el" href="namespacestan_1_1math.html" title="Matrices and templated mathematical functions. ">stan::math</a> for the variable-based log Gamma function.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{lbeta}(\alpha, \beta) = \begin{cases} \ln\int_0^1 u^{\alpha - 1} (1 - u)^{\beta - 1} \, du &amp; \mbox{if } \alpha, \beta>0 \\[6pt] \textrm{NaN} &amp; \mbox{if } \alpha = \textrm{NaN or } \beta = \textrm{NaN} \end{cases} \]" src="form_93.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{lbeta}(\alpha, \beta)}{\partial \alpha} = \begin{cases} \Psi(\alpha)-\Psi(\alpha+\beta) &amp; \mbox{if } \alpha, \beta>0 \\[6pt] \textrm{NaN} &amp; \mbox{if } \alpha = \textrm{NaN or } \beta = \textrm{NaN} \end{cases} \]" src="form_94.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{lbeta}(\alpha, \beta)}{\partial \beta} = \begin{cases} \Psi(\beta)-\Psi(\alpha+\beta) &amp; \mbox{if } \alpha, \beta>0 \\[6pt] \textrm{NaN} &amp; \mbox{if } \alpha = \textrm{NaN or } \beta = \textrm{NaN} \end{cases} \]" src="form_95.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First value </td></tr>
+    <tr><td class="paramname">b</td><td>Second value </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Log of the beta function applied to the two values. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of first value. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of second value. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html#l00059">59</a> of file <a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">lbeta.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aead76f03bdbc60484ad760fc31bad40f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::lgamma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2lgamma_8hpp_source.html">lgamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a836f46d7f63f5118a32cad11382c0551"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::lgamma </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{lgamma}(x) = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \ln\Gamma(x) &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_96.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{lgamma}(x)}{\partial x} = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \Psi(x) &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_97.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html#l00031">31</a> of file <a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">lgamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a21018562738b2bf94984bcb7e1c9865b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::lgamma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The log gamma function for variables (C99). </p>
+<p>The derivatie is the digamma function,</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \Gamma(x) = \psi^{(0)}(x)$" src="form_391.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>The variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Log gamma of the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2lgamma_8hpp_source.html#l00035">35</a> of file <a class="el" href="rev_2scal_2fun_2lgamma_8hpp_source.html">lgamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0399f5f1c54dbda27be7f12d7d888e1d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_covar , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_covar, T_shape&gt;::type stan::math::lkj_corr_cholesky_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>eta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lkj__corr__cholesky__log_8hpp_source.html#l00056">56</a> of file <a class="el" href="lkj__corr__cholesky__log_8hpp_source.html">lkj_corr_cholesky_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac6e9853bf29b95ed22f4342bd2ac1629"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_covar , typename T_shape &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_covar, T_shape&gt;::type stan::math::lkj_corr_cholesky_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>eta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lkj__corr__cholesky__log_8hpp_source.html#l00099">99</a> of file <a class="el" href="lkj__corr__cholesky__log_8hpp_source.html">lkj_corr_cholesky_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a873e4c1def8700568d76f9296bbd8d24"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::MatrixXd stan::math::lkj_corr_cholesky_rng </td>
+          <td>(</td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>K</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>eta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lkj__corr__cholesky__rng_8hpp_source.html#l00052">52</a> of file <a class="el" href="lkj__corr__cholesky__rng_8hpp_source.html">lkj_corr_cholesky_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af0cb454dc9397439a74c185da61a3d5e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_shape&gt;::type stan::math::lkj_corr_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>eta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lkj__corr__log_8hpp_source.html#l00086">86</a> of file <a class="el" href="lkj__corr__log_8hpp_source.html">lkj_corr_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a015685882d7704cd76e15e5966e42b5e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_shape&gt;::type stan::math::lkj_corr_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>eta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lkj__corr__log_8hpp_source.html#l00122">122</a> of file <a class="el" href="lkj__corr__log_8hpp_source.html">lkj_corr_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7a32027fc9306df3c5a0418fa44826fa"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::MatrixXd stan::math::lkj_corr_rng </td>
+          <td>(</td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>K</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>eta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lkj__corr__rng_8hpp_source.html#l00052">52</a> of file <a class="el" href="lkj__corr__rng_8hpp_source.html">lkj_corr_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4d5d029cbf5c052432705dc9ad334df6"></a>
+<div class="memitem">
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+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::lkj_cov_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_loc, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_scale, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>eta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lkj__cov__log_8hpp_source.html#l00024">24</a> of file <a class="el" href="lkj__cov__log_8hpp_source.html">lkj_cov_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3cfaea69c195f4531f7688a19fc7bd14"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::lkj_cov_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_loc, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_scale, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>eta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lkj__cov__log_8hpp_source.html#l00074">74</a> of file <a class="el" href="lkj__cov__log_8hpp_source.html">lkj_cov_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5295c9eddd1e8643bb1c9fa0fb284917"></a>
+<div class="memitem">
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+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::lkj_cov_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>eta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lkj__cov__log_8hpp_source.html#l00087">87</a> of file <a class="el" href="lkj__cov__log_8hpp_source.html">lkj_cov_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab0a8d3846d804d39d6f0883e54aa2c7e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::lkj_cov_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>eta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lkj__cov__log_8hpp_source.html#l00124">124</a> of file <a class="el" href="lkj__cov__log_8hpp_source.html">lkj_cov_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad46d6e08f7b6e9b9e8941572d30b104e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;typename <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt;T, int&gt;::type&gt; stan::math::lmgamma </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2lmgamma_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2scal_2fun_2lmgamma_8hpp_source.html">lmgamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3f77e1a76bdde13d243f68d45c1d392b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::lmgamma </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2lmgamma_8hpp_source.html#l00028">28</a> of file <a class="el" href="rev_2scal_2fun_2lmgamma_8hpp_source.html">lmgamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0ee0706b2cb6d2e1da2c3b6041c06a56"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::lmgamma </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>k</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the natural logarithm of the multivariate gamma function with the speciifed dimensions and argument. </p>
+<p>The multivariate gamma function <img class="formulaInl" alt="$\Gamma_k(x)$" src="form_98.png"/> for dimensionality <img class="formulaInl" alt="$k$" src="form_15.png"/> and argument <img class="formulaInl" alt="$x$" src="form_99.png"/> is defined by</p>
+<p><img class="formulaInl" alt="$\Gamma_k(x) = \pi^{k(k-1)/4} \, \prod_{j=1}^k \Gamma(x + (1 - j)/2)$" src="form_100.png"/>,</p>
+<p>where <img class="formulaInl" alt="$\Gamma()$" src="form_101.png"/> is the gamma function.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{lmgamma}(n, x) = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \ln\Gamma_n(x) &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_102.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{lmgamma}(n, x)}{\partial x} = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \frac{\partial\, \ln\Gamma_n(x)}{\partial x} &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_103.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \ln\Gamma_n(x) = \pi^{n(n-1)/4} \, \prod_{j=1}^n \Gamma(x + (1 - j)/2) \]" src="form_104.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \ln\Gamma_n(x)}{\partial x} = \sum_{j=1}^n \Psi(x + (1 - j) / 2) \]" src="form_105.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">k</td><td>Number of dimensions. </td></tr>
+    <tr><td class="paramname">x</td><td>Function argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Natural log of the multivariate gamma function. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2lmgamma_8hpp_source.html#l00057">57</a> of file <a class="el" href="prim_2scal_2fun_2lmgamma_8hpp_source.html">lmgamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a915ada1e5971c467aa16ee926997a442"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2log_8hpp_source.html">log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac3b52b30a04e9a9f216b49ef06ab7a61"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int Rows, int Cols&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Rows, Cols&gt; stan::math::log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Rows, Cols &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the element-wise logarithm of the matrix or vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>The matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>ret(i, j) = log(m(i, j)) </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2log_8hpp_source.html#l00017">17</a> of file <a class="el" href="prim_2mat_2fun_2log_8hpp_source.html">log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8a236280de2603e0ead1966468f0ceea"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the natural log of the specified variable (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \log x = \frac{1}{x}$" src="form_392.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log}(x) = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < 0\\ \ln(x) &amp; \mbox{if } x \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_393.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log}(x)}{\partial x} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < 0\\ \frac{1}{x} &amp; \mbox{if } x\geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_394.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable whose log is taken. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Natural log of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log_8hpp_source.html#l00050">50</a> of file <a class="el" href="rev_2scal_2fun_2log_8hpp_source.html">log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a808cbb5ac4003f28e2538805ebe338ef"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log10 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log10_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2log10_8hpp_source.html">log10.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af56e2f9808a531946681d3644307edeb"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log10 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the base 10 log of the specified variable (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \log_{10} x = \frac{1}{x \log 10}$" src="form_395.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log10}(x) = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < 0\\ \log_{10}(x) &amp; \mbox{if } x \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_396.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log10}(x)}{\partial x} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < 0\\ \frac{1}{x \ln10} &amp; \mbox{if } x\geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_397.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable whose log is taken. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Base 10 log of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log10_8hpp_source.html#l00054">54</a> of file <a class="el" href="rev_2scal_2fun_2log10_8hpp_source.html">log10.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a21f4f7c092e2bc9a089885628b86c004"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::log10 </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return natural logarithm of ten. </p>
+<dl class="section return"><dt>Returns</dt><dd>Natural logarithm of ten. </dd></dl>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00114">114</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8d92a982acd829e77b3f5b975baa6aed"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log1m </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2scal_2fun_2log1m_8hpp_source.html">log1m.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5aaee0104c1b99038dda2dbb769abae1"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log1m </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The log (1 - x) function for variables. </p>
+<p>The derivative is given by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \log (1 - x) = -\frac{1}{1 - x}$" src="form_398.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>The variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The variable representing log of 1 minus the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log1m_8hpp_source.html#l00032">32</a> of file <a class="el" href="rev_2scal_2fun_2log1m_8hpp_source.html">log1m.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4f92092fb8a70b31d00898bbbe769612"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::log1m </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the natural logarithm of one minus the specified value. </p>
+<p>The main use of this function is to cut down on intermediate values during algorithmic differentiation.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log1m}(x) = \begin{cases} \ln(1-x) &amp; \mbox{if } x \leq 1 \\ \textrm{NaN} &amp; \mbox{if } x > 1\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_106.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log1m}(x)}{\partial x} = \begin{cases} -\frac{1}{1-x} &amp; \mbox{if } x \leq 1 \\ \textrm{NaN} &amp; \mbox{if } x > 1\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_107.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Natural log of one minus <code>x</code>. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html#l00040">40</a> of file <a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">log1m.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7760d28e8fddf268113469b44463de07"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log1m_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log1m__exp_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2scal_2fun_2log1m__exp_8hpp_source.html">log1m_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aab62e8d3067ce13dea1b2ee4f38618b1"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log1m_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the log of 1 minus the exponential of the specified variable. </p>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log1m__exp_8hpp_source.html#l00038">38</a> of file <a class="el" href="rev_2scal_2fun_2log1m__exp_8hpp_source.html">log1m_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3ce261caf05bd371c430e82a0e6389a5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::log1m_exp </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Calculates the log of 1 minus the exponential of the specified value without overflow log1m_exp(x) = log(1-exp(x)). </p>
+<p>This function is only defined for x&lt;0</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log1m\_exp}(x) = \begin{cases} \ln(1-\exp(x)) &amp; \mbox{if } x < 0 \\ \textrm{NaN} &amp; \mbox{if } x \geq 0\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_108.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{asinh}(x)}{\partial x} = \begin{cases} -\frac{\exp(x)}{1-\exp(x)} &amp; \mbox{if } x < 0 \\ \textrm{NaN} &amp; \mbox{if } x \geq 0\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_109.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log1m__exp_8hpp_source.html#l00041">41</a> of file <a class="el" href="prim_2scal_2fun_2log1m__exp_8hpp_source.html">log1m_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a79f286f8a9043aee8a1a844493da0d55"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log1m_inv_logit </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log1m__inv__logit_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2log1m__inv__logit_8hpp_source.html">log1m_inv_logit.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac7f71c696a5e0da4daab30e5f3704842"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::log1m_inv_logit </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>u</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the natural logarithm of 1 minus the inverse logit of the specified argument. </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log1m\_inv\_logit}(x) = \begin{cases} -\ln(\exp(x)+1) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_110.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log1m\_inv\_logit}(x)}{\partial x} = \begin{cases} -\frac{\exp(x)}{\exp(x)+1} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_111.png"/>
+</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">u</td><td>Input. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>log of 1 minus the inverse logit of the input. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log1m__inv__logit_8hpp_source.html#l00036">36</a> of file <a class="el" href="prim_2scal_2fun_2log1m__inv__logit_8hpp_source.html">log1m_inv_logit.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa16e57e82fb1e17f74ef43592748ff32"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log1p </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log1p_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2scal_2fun_2log1p_8hpp_source.html">log1p.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9851bec44891899ceacfc17ef6e86b21"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log1p </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The log (1 + x) function for variables (C99). </p>
+<p>The derivative is given by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \log (1 + x) = \frac{1}{1 + x}$" src="form_399.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>The variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of 1 plus the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log1p_8hpp_source.html#l00034">34</a> of file <a class="el" href="rev_2scal_2fun_2log1p_8hpp_source.html">log1p.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5166d3c58ad8ce0aedbf104179888b69"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::log1p </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the natural logarithm of one plus the specified value. </p>
+<p>The main use of this function is to cut down on intermediate values during algorithmic differentiation.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log1p}(x) = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < -1\\ \ln(1+x)&amp; \mbox{if } x\geq -1 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_112.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log1p}(x)}{\partial x} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < -1\\ \frac{1}{1+x} &amp; \mbox{if } x\geq -1 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_113.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Natural log of one plus <code>x</code>. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html#l00039">39</a> of file <a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">log1p.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0fe928ad2b96b802f6d488ba43167489"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log1p_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log1p__exp_8hpp_source.html#l00013">13</a> of file <a class="el" href="fwd_2scal_2fun_2log1p__exp_8hpp_source.html">log1p_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abaffb88be27fafab634c74e14508e0f3"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log1p_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the log of 1 plus the exponential of the specified variable. </p>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log1p__exp_8hpp_source.html#l00028">28</a> of file <a class="el" href="rev_2scal_2fun_2log1p__exp_8hpp_source.html">log1p_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a88151def26813dec3e04c4a8b9674091"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::log1p_exp </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Calculates the log of 1 plus the exponential of the specified value without overflow. </p>
+<p>This function is related to other special functions by:</p>
+<p><code>log1p_exp(x) </code></p>
+<p><code> = log1p(exp(a))</code></p>
+<p><code> = log(1 + exp(x))</code></p>
+<p><code> = log_sum_exp(0, x)</code>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log1p\_exp}(x) = \begin{cases} \ln(1+\exp(x)) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_114.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log1p\_exp}(x)}{\partial x} = \begin{cases} \frac{\exp(x)}{1+\exp(x)} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_115.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log1p__exp_8hpp_source.html#l00044">44</a> of file <a class="el" href="prim_2scal_2fun_2log1p__exp_8hpp_source.html">log1p_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4eea39b4ca603cff7518068499884364"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log2 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log2_8hpp_source.html#l00017">17</a> of file <a class="el" href="fwd_2scal_2fun_2log2_8hpp_source.html">log2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa25e1572bf46e3a6b9ee270f0c7e2c4d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::log2 </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the base 2 logarithm of the argument (C99). </p>
+<p>The function is defined by:</p>
+<p><code>log2(a) = log(a) / std::log(2.0)</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of scalar </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Base 2 logarithm of the value. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log2_8hpp_source.html#l00025">25</a> of file <a class="el" href="prim_2scal_2fun_2log2_8hpp_source.html">log2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a947ba3fe3c87293f7c57395007100c79"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::log2 </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return natural logarithm of two. </p>
+<dl class="section return"><dt>Returns</dt><dd>Natural logarithm of two. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log2_8hpp_source.html#l00035">35</a> of file <a class="el" href="prim_2scal_2fun_2log2_8hpp_source.html">log2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6322be7704b2efc1e36951b46bb88568"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log2 </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the base 2 logarithm of the specified variable (C99). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#a4eea39b4ca603cff7518068499884364">stan::math::log2()</a> for the double-based version.</p>
+<p>The derivative is</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \log_2 x = \frac{1}{x \log 2}$" src="form_400.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log2}(x) = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < 0 \\ \log_2(x) &amp; \mbox{if } x\geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_401.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log2}(x)}{\partial x} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x < 0 \\ \frac{1}{x\ln2} &amp; \mbox{if } x\geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_402.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Specified variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Base 2 logarithm of the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log2_8hpp_source.html#l00053">53</a> of file <a class="el" href="rev_2scal_2fun_2log2_8hpp_source.html">log2.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae83dcd77f80cb38f31af8c5284370112"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_determinant </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2log__determinant_8hpp_source.html#l00013">13</a> of file <a class="el" href="rev_2mat_2fun_2log__determinant_8hpp_source.html">log_determinant.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aca29dad18932e3ca17ac52fd0238b364"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::log_determinant </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the log absolute determinant of the specified square matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>log absolute determinant of the matrix. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if matrix is not square. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2log__determinant_8hpp_source.html#l00018">18</a> of file <a class="el" href="prim_2mat_2fun_2log__determinant_8hpp_source.html">log_determinant.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6f88bd206be351748e56aebf7e58289a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_determinant </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2log__determinant_8hpp_source.html#l00020">20</a> of file <a class="el" href="fwd_2mat_2fun_2log__determinant_8hpp_source.html">log_determinant.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1d95f632b80e8653fe5891209bdeda45"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::log_determinant_ldlt </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html#l00012">12</a> of file <a class="el" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">log_determinant_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acc785decbbbee8de2a2b8f2df9715d48"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_determinant_ldlt </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2log__determinant__ldlt_8hpp_source.html#l00048">48</a> of file <a class="el" href="rev_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">log_determinant_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a18ff74da7a827b5e433fc8d65d8b73e9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_determinant_spd </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2log__determinant__spd_8hpp_source.html#l00015">15</a> of file <a class="el" href="rev_2mat_2fun_2log__determinant__spd_8hpp_source.html">log_determinant_spd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae9a296d4414d0193108c70b350a05cfc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::log_determinant_spd </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the log absolute determinant of the specified square matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>log absolute determinant of the matrix. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if matrix is not square. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2log__determinant__spd_8hpp_source.html#l00019">19</a> of file <a class="el" href="prim_2mat_2fun_2log__determinant__spd_8hpp_source.html">log_determinant_spd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1ba84f8c43b399f555647a0402a710ef"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_diff_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__diff__exp_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2log__diff__exp_8hpp_source.html">log_diff_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34180da33deb01d13fcf6c5907d1309e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T2&gt; stan::math::log_diff_exp </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__diff__exp_8hpp_source.html#l00026">26</a> of file <a class="el" href="fwd_2scal_2fun_2log__diff__exp_8hpp_source.html">log_diff_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a246fe73ae519573f2232d2f44ac379be"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T1&gt; stan::math::log_diff_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__diff__exp_8hpp_source.html#l00037">37</a> of file <a class="el" href="fwd_2scal_2fun_2log__diff__exp_8hpp_source.html">log_diff_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a685dbad032c2794fbc8bca7f44119eab"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T1, T2&gt;::type stan::math::log_diff_exp </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The natural logarithm of the difference of the natural exponentiation of x1 and the natural exponentiation of x2. </p>
+<p>This function is only defined for x&lt;0</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_diff\_exp}(x, y) = \begin{cases} \textrm{NaN} &amp; \mbox{if } x \leq y\\ \ln(\exp(x)-\exp(y)) &amp; \mbox{if } x > y \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_116.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log\_diff\_exp}(x, y)}{\partial x} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x \leq y\\ \frac{\exp(x)}{\exp(x)-\exp(y)} &amp; \mbox{if } x > y \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_117.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log\_diff\_exp}(x, y)}{\partial y} = \begin{cases} \textrm{NaN} &amp; \mbox{if } x \leq y\\ -\frac{\exp(y)}{\exp(x)-\exp(y)} &amp; \mbox{if } x > y \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_118.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log__diff__exp_8hpp_source.html#l00050">50</a> of file <a class="el" href="prim_2scal_2fun_2log__diff__exp_8hpp_source.html">log_diff_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a43fccfff5553aa860351a147ab10e301"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_diff_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the log sum of exponentials. </p>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__diff__exp_8hpp_source.html#l00054">54</a> of file <a class="el" href="rev_2scal_2fun_2log__diff__exp_8hpp_source.html">log_diff_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7a09bd43a4ade10703b6a1fb521d09e8"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_diff_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the log sum of exponentials. </p>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__diff__exp_8hpp_source.html#l00061">61</a> of file <a class="el" href="rev_2scal_2fun_2log__diff__exp_8hpp_source.html">log_diff_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a03afe35a61cd6068465799e22d600879"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_diff_exp </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the log sum of exponentials. </p>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__diff__exp_8hpp_source.html#l00068">68</a> of file <a class="el" href="rev_2scal_2fun_2log__diff__exp_8hpp_source.html">log_diff_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a58e4116dfd00db87062ef7c0f76e8c27"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__falling__factorial_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2log__falling__factorial_8hpp_source.html">log_falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3f457257e68af25bdccd60c4da5c1449"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__falling__factorial_8hpp_source.html#l00027">27</a> of file <a class="el" href="fwd_2scal_2fun_2log__falling__factorial_8hpp_source.html">log_falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a50150f9605147c167f749bf31c9e42a2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__falling__factorial_8hpp_source.html#l00037">37</a> of file <a class="el" href="fwd_2scal_2fun_2log__falling__factorial_8hpp_source.html">log_falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd407ae0bf698d58b8e59e580749e705"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T1, T2&gt;::type stan::math::log_falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_falling\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \ln (x)_n &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_119.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log\_falling\_factorial}(x, n)}{\partial x} = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \Psi(x) &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_120.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log\_falling\_factorial}(x, n)}{\partial n} = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ -\Psi(n) &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_121.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log__falling__factorial_8hpp_source.html#l00041">41</a> of file <a class="el" href="prim_2scal_2fun_2log__falling__factorial_8hpp_source.html">log_falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6f5951b9e0e640a8f2f53348015387c4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__falling__factorial_8hpp_source.html#l00068">68</a> of file <a class="el" href="rev_2scal_2fun_2log__falling__factorial_8hpp_source.html">log_falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1a6fbe2cf74d7dc89d10999d512c3efd"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__falling__factorial_8hpp_source.html#l00073">73</a> of file <a class="el" href="rev_2scal_2fun_2log__falling__factorial_8hpp_source.html">log_falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a599bc1031e28ecc3cc192b07bdced6ed"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_falling_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__falling__factorial_8hpp_source.html#l00078">78</a> of file <a class="el" href="rev_2scal_2fun_2log__falling__factorial_8hpp_source.html">log_falling_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acd2fe56bce70a04dd11e8a5a32b1b51c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_inv_logit </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__inv__logit_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2log__inv__logit_8hpp_source.html">log_inv_logit.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad5be889d1ef4284654a04e400f5371a7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::log_inv_logit </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>u</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the natural logarithm of the inverse logit of the specified argument. </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_inv\_logit}(x) = \begin{cases} \ln\left(\frac{1}{1+\exp(-x)}\right)&amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_122.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log\_inv\_logit}(x)}{\partial x} = \begin{cases} \frac{1}{1+\exp(x)} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_123.png"/>
+</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">u</td><td>Input. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>log of the inverse logit of the input. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html#l00036">36</a> of file <a class="el" href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html">log_inv_logit.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad4e08116b9ebf4a6592aa9f8fa393669"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::log_inv_logit_diff </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="ordered__logistic__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="ordered__logistic__log_8hpp_source.html">ordered_logistic_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1b7b9cda7f1b3234cc4b3fc20e595482"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::log_mix </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>lambda1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>lambda2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the log mixture density with specified mixing proportion and log densities. </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \log \left( \theta \lambda_1 + (1 - \theta) \lambda_2 \right). \]" src="form_124.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial}{\partial \theta} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = FIXME \]" src="form_125.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial}{\partial \lambda_1} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = FIXME \]" src="form_126.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial}{\partial \lambda_2} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = FIXME \]" src="form_127.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>mixing proportion in [0, 1]. </td></tr>
+    <tr><td class="paramdir"></td><td class="paramname">lambda1</td><td>first log density. </td></tr>
+    <tr><td class="paramdir"></td><td class="paramname">lambda2</td><td>second log density. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>log mixture of densities in specified proportion </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log__mix_8hpp_source.html#l00046">46</a> of file <a class="el" href="prim_2scal_2fun_2log__mix_8hpp_source.html">log_mix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a91f87ac712232f684f398ff5e5865887"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_theta , typename T_lambda1 , typename T_lambda2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_theta, T_lambda1, T_lambda2&gt;::type stan::math::log_mix </td>
+          <td>(</td>
+          <td class="paramtype">const T_theta &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_lambda1 &amp;&#160;</td>
+          <td class="paramname"><em>lambda1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_lambda2 &amp;&#160;</td>
+          <td class="paramname"><em>lambda2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the log mixture density with specified mixing proportion and log densities and its derivative at each. </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \log \left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right). \]" src="form_4.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial}{\partial \theta} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \dfrac{\exp(\lambda_1) - \exp(\lambda_2)} {\left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right)} \]" src="form_5.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial}{\partial \lambda_1} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \dfrac{\theta \exp(\lambda_1)} {\left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right)} \]" src="form_6.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial}{\partial \lambda_2} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \dfrac{\theta \exp(\lambda_2)} {\left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right)} \]" src="form_7.png"/>
+</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_theta</td><td>theta scalar type. </td></tr>
+    <tr><td class="paramname">T_lambda1</td><td>lambda1 scalar type. </td></tr>
+    <tr><td class="paramname">T_lambda2</td><td>lambda2 scalar type.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>mixing proportion in [0, 1]. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">lambda1</td><td>first log density. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">lambda2</td><td>second log density. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>log mixture of densities in specified proportion </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__mix_8hpp_source.html#l00088">88</a> of file <a class="el" href="rev_2scal_2fun_2log__mix_8hpp_source.html">log_mix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a014f4431773309ae7fd1420b0f6aa99f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_mix </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>lambda1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>lambda2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the log mixture density with specified mixing proportion and log densities and its derivative at each. </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \log \left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right). \]" src="form_4.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial}{\partial \theta} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \dfrac{\exp(\lambda_1) - \exp(\lambda_2)} {\left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right)} \]" src="form_5.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial}{\partial \lambda_1} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \dfrac{\theta \exp(\lambda_1)} {\left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right)} \]" src="form_6.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial}{\partial \lambda_2} \mbox{log\_mix}(\theta, \lambda_1, \lambda_2) = \dfrac{\theta \exp(\lambda_2)} {\left( \theta \exp(\lambda_1) + (1 - \theta) \exp(\lambda_2) \right)} \]" src="form_7.png"/>
+</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>scalar type.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>mixing proportion in [0, 1]. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">lambda1</td><td>first log density. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">lambda2</td><td>second log density.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>log mixture of densities in specified proportion </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00117">117</a> of file <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html">log_mix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aed956136160f52953529970a3ae4ef40"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_mix </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>lambda1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>lambda2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00143">143</a> of file <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html">log_mix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a53f58fdf08759c58af217840a92ed4e8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_mix </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>lambda1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>lambda2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00168">168</a> of file <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html">log_mix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd1210cb19932c4552f899d1582929e9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_mix </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>lambda1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>lambda2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00193">193</a> of file <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html">log_mix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a780462344be6c31a646da6cfbeb6c421"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_mix </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>lambda1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>lambda2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00217">217</a> of file <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html">log_mix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aebd9e68e3b8dc002039c1afda1dce392"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_mix </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>lambda1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>lambda2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00238">238</a> of file <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html">log_mix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a35eaca2241efa84971cb2aaa4efacbb0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_mix </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>lambda1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>lambda2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00259">259</a> of file <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html">log_mix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8b3e6e5267f60e3537dd8bdd0299a3ee"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::log_mix_partial_helper </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>theta_val</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>lambda1_val</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>lambda2_val</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>one_m_exp_lam2_m_lam1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>one_m_t_prod_exp_lam2_m_lam1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double &amp;&#160;</td>
+          <td class="paramname"><em>one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__mix_8hpp_source.html#l00028">28</a> of file <a class="el" href="rev_2scal_2fun_2log__mix_8hpp_source.html">log_mix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a23c2aeab81ef4820c6df233e1d35a3a9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_theta , typename T_lambda1 , typename T_lambda2 , int N&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::log_mix_partial_helper </td>
+          <td>(</td>
+          <td class="paramtype">const T_theta &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_lambda1 &amp;&#160;</td>
+          <td class="paramname"><em>lambda1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_lambda2 &amp;&#160;</td>
+          <td class="paramname"><em>lambda2</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">typename boost::math::tools::promote_args&lt; T_theta, T_lambda1, T_lambda2 &gt;::type(&amp;)&#160;</td>
+          <td class="paramname"><em>partials_array</em>[N]&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00029">29</a> of file <a class="el" href="fwd_2scal_2fun_2log__mix_8hpp_source.html">log_mix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa4aff0dd42a2b0b33ac55e9a45f35b1e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__rising__factorial_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2scal_2fun_2log__rising__factorial_8hpp_source.html">log_rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a08d954744a945ff1f82a27d2eedb887f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__rising__factorial_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2scal_2fun_2log__rising__factorial_8hpp_source.html">log_rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5ab4f0019045b98139b0626204e8f2a2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__rising__factorial_8hpp_source.html#l00039">39</a> of file <a class="el" href="fwd_2scal_2fun_2log__rising__factorial_8hpp_source.html">log_rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a05002f0d4de2c84705dc2bbadfce6b6c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T1, T2&gt;::type stan::math::log_rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_rising\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \ln x^{(n)} &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_128.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log\_rising\_factorial}(x, n)}{\partial x} = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \Psi(x+n) - \Psi(x) &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_129.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log\_rising\_factorial}(x, n)}{\partial n} = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \Psi(x+n) &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_130.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log__rising__factorial_8hpp_source.html#l00041">41</a> of file <a class="el" href="prim_2scal_2fun_2log__rising__factorial_8hpp_source.html">log_rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6353b21fe0f6314e677e0c0ec1d27e2a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__rising__factorial_8hpp_source.html#l00049">49</a> of file <a class="el" href="rev_2scal_2fun_2log__rising__factorial_8hpp_source.html">log_rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a57ff05bb4af6475162c98f06f5ccd186"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__rising__factorial_8hpp_source.html#l00054">54</a> of file <a class="el" href="rev_2scal_2fun_2log__rising__factorial_8hpp_source.html">log_rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5b4b56e93a461861d24468412ec75a3a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__rising__factorial_8hpp_source.html#l00059">59</a> of file <a class="el" href="rev_2scal_2fun_2log__rising__factorial_8hpp_source.html">log_rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a558975cc79251cd99966f99ed8795ddc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, Eigen::Dynamic, 1&gt; stan::math::log_softmax </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2log__softmax_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2mat_2fun_2log__softmax_8hpp_source.html">log_softmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0f60a82d68ef90f7cd5e9f02f121a5d1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::log_softmax </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the natural logarithm of the softmax of the specified vector. </p>
+<p><img class="formulaInl" alt="$ \log \mbox{softmax}(y) \ = \ y - \log \sum_{k=1}^K \exp(y_k) \ = \ y - \mbox{log\_sum\_exp}(y). $" src="form_16.png"/></p>
+<p>For the log softmax function, the entries in the Jacobian are <img class="formulaInl" alt="$ \frac{\partial}{\partial y_m} \mbox{softmax}(y)[k] = \left\{ \begin{array}{ll} 1 - \mbox{softmax}(y)[m] &amp; \mbox{ if } m = k, \mbox{ and} \\[6pt] \mbox{softmax}(y)[m] &amp; \mbox{ if } m \neq k. \end{array} \right. $" src="form_17.png"/></p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type of values in vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>Vector to transform. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Unit simplex result of the softmax transform of the vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2log__softmax_8hpp_source.html#l00044">44</a> of file <a class="el" href="prim_2mat_2fun_2log__softmax_8hpp_source.html">log_softmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a443bda462051b08fcd0274c3ae1c73aa"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, Eigen::Dynamic, 1&gt; stan::math::log_softmax </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the softmax of the specified <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector. </p>
+<p>Softmax is guaranteed to return a simplex.</p>
+<p>The gradient calculations are unfolded.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">alpha</td><td>Unconstrained input vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Softmax of the input. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the input vector is size 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp_source.html#l00061">61</a> of file <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp_source.html">log_softmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac86474622fba4524c529c4b8024e4ceb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a177e64b45d304afc52540d776de8dbe1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__sum__exp_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34a4bb0a8db85be07d98d3b2e2fc96c4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2log__sum__exp_8hpp_source.html#l00019">19</a> of file <a class="el" href="fwd_2mat_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9e67f9b1692743a9db4462e98bb49ef5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the log of the sum of the exponentiated values of the specified sequence of values. </p>
+<p>The function is defined as follows to prevent overflow in exponential calculations.</p>
+<p><img class="formulaInl" alt="$\log \sum_{n=1}^N \exp(x_n) = \max(x) + \log \sum_{n=1}^N \exp(x_n - \max(x))$" src="form_8.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>array of specified values </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the sum of the exponentiated vector values. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2fun_2log__sum__exp_8hpp_source.html#l00024">24</a> of file <a class="el" href="prim_2arr_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa0497ca733bb52ba08323b12ed654bc8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__sum__exp_8hpp_source.html#l00026">26</a> of file <a class="el" href="fwd_2scal_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac1fb47266493c7da21a6508944d65bdf"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the log of the sum of the exponentiated values of the specified matrix of values. </p>
+<p>The matrix may be a full matrix, a vector, or a row vector.</p>
+<p>The function is defined as follows to prevent overflow in exponential calculations.</p>
+<p><img class="formulaInl" alt="$\log \sum_{n=1}^N \exp(x_n) = \max(x) + \log \sum_{n=1}^N \exp(x_n - \max(x))$" src="form_8.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Matrix of specified values </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the sum of the exponentiated vector values. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2log__sum__exp_8hpp_source.html#l00028">28</a> of file <a class="el" href="prim_2mat_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab43880eef5d3a9017c9ab46fa2d1ef65"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2log__sum__exp_8hpp_source.html#l00036">36</a> of file <a class="el" href="fwd_2scal_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="add3072490832a96e50ca3143e4226e67"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the log sum of exponentials. </p>
+
+<p>Definition at line <a class="el" href="rev_2arr_2fun_2log__sum__exp_8hpp_source.html#l00045">45</a> of file <a class="el" href="rev_2arr_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a554e6f04e24049b7fe6e56f60abbc560"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T1, T2&gt;::type stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Calculates the log sum of exponetials without overflow. </p>
+<p><img class="formulaInl" alt="$\log (\exp(a) + \exp(b)) = m + \log(\exp(a-m) + \exp(b-m))$" src="form_131.png"/>,</p>
+<p>where <img class="formulaInl" alt="$m = max(a, b)$" src="form_132.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_sum\_exp}(x, y) = \begin{cases} \ln(\exp(x)+\exp(y)) &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_133.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log\_sum\_exp}(x, y)}{\partial x} = \begin{cases} \frac{\exp(x)}{\exp(x)+\exp(y)} &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_134.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{log\_sum\_exp}(x, y)}{\partial y} = \begin{cases} \frac{\exp(y)}{\exp(x)+\exp(y)} &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_135.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>the first variable </td></tr>
+    <tr><td class="paramname">b</td><td>the second variable </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2log__sum__exp_8hpp_source.html#l00048">48</a> of file <a class="el" href="prim_2scal_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a50e133913e946710e85efc00306a2610"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the log sum of exponentials. </p>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__sum__exp_8hpp_source.html#l00050">50</a> of file <a class="el" href="rev_2scal_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa99a093a231daf213b589a2c96644fd7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the log sum of exponentials. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2log__sum__exp_8hpp_source.html#l00054">54</a> of file <a class="el" href="rev_2mat_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3c2ea975711d2420728cce2878bca93c"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the log sum of exponentials. </p>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__sum__exp_8hpp_source.html#l00057">57</a> of file <a class="el" href="rev_2scal_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a04418b73a6d6efd660a67d9af4546840"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::log_sum_exp </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the log sum of exponentials. </p>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log__sum__exp_8hpp_source.html#l00064">64</a> of file <a class="el" href="rev_2scal_2fun_2log__sum__exp_8hpp_source.html">log_sum_exp.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adc35bab2db89b3ceda66f11e1fa53ec8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::logical_and </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The logical and function which returns 1 if both arguments are unequal to zero and 0 otherwise. </p>
+<p>Equivalent to <code>x1 != 0 &amp;&amp; x2 != 0</code>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator\&amp;\&amp;}(x, y) = \begin{cases} 0 &amp; \mbox{if } x = 0 \textrm{ or } y=0 \\ 1 &amp; \mbox{if } x, y \neq 0 \\[6pt] 1 &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_136.png"/>
+</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of first argument. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of second argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x1</td><td>First argument </td></tr>
+    <tr><td class="paramname">x2</td><td>Second argument </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if both x1 and x2 are not equal to 0. </dd></dl>
+
+<p>Definition at line <a class="el" href="logical__and_8hpp_source.html#l00030">30</a> of file <a class="el" href="logical__and_8hpp_source.html">logical_and.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab2213736b55fd6696fa0120fd3fe72e4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::logical_eq </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return 1 if the first argument is equal to the second. </p>
+<p>Equivalent to <code>x1 == x2</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of first argument. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of second argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x1</td><td>First argument </td></tr>
+    <tr><td class="paramname">x2</td><td>Second argument </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> iff <code>x1 == x2</code> </dd></dl>
+
+<p>Definition at line <a class="el" href="logical__eq_8hpp_source.html#l00019">19</a> of file <a class="el" href="logical__eq_8hpp_source.html">logical_eq.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aba86bfd994302061a0260e1202fca777"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::logical_gt </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return 1 if the first argument is strictly greater than the second. </p>
+<p>Equivalent to <code>x1 &lt; x2</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of first argument. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of second argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x1</td><td>First argument </td></tr>
+    <tr><td class="paramname">x2</td><td>Second argument </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> iff <code>x1 &gt; x2</code> </dd></dl>
+
+<p>Definition at line <a class="el" href="logical__gt_8hpp_source.html#l00019">19</a> of file <a class="el" href="logical__gt_8hpp_source.html">logical_gt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac6bb0b8623192207d35e207ea312d8be"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::logical_gte </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return 1 if the first argument is greater than or equal to the second. </p>
+<p>Equivalent to <code>x1 &gt;= x2</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of first argument. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of second argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x1</td><td>First argument </td></tr>
+    <tr><td class="paramname">x2</td><td>Second argument </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> iff <code>x1 &gt;= x2</code> </dd></dl>
+
+<p>Definition at line <a class="el" href="logical__gte_8hpp_source.html#l00019">19</a> of file <a class="el" href="logical__gte_8hpp_source.html">logical_gte.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0b5bd91412749e10933f304b54aef88f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::logical_lt </td>
+          <td>(</td>
+          <td class="paramtype">T1&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T2&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return 1 if the first argument is strictly less than the second. </p>
+<p>Equivalent to <code>x1 &lt; x2</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of first argument. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of second argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x1</td><td>First argument </td></tr>
+    <tr><td class="paramname">x2</td><td>Second argument </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> iff <code>x1 &lt; x2</code> </dd></dl>
+
+<p>Definition at line <a class="el" href="logical__lt_8hpp_source.html#l00020">20</a> of file <a class="el" href="logical__lt_8hpp_source.html">logical_lt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af3649d4c704962c4502cd6220a5e2230"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::logical_lte </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return 1 if the first argument is less than or equal to the second. </p>
+<p>Equivalent to <code>x1 &lt;= x2</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of first argument. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of second argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x1</td><td>First argument </td></tr>
+    <tr><td class="paramname">x2</td><td>Second argument </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> iff <code>x1 &lt;= x2</code> </dd></dl>
+
+<p>Definition at line <a class="el" href="logical__lte_8hpp_source.html#l00019">19</a> of file <a class="el" href="logical__lte_8hpp_source.html">logical_lte.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aad2fc9ce55dfac079d930335beb7e4a8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::logical_negation </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The logical negation function which returns 1 if the input is equal to zero and 0 otherwise. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type to compare to zero. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Value to compare to zero. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1 if input is equal to zero. </dd></dl>
+
+<p>Definition at line <a class="el" href="logical__negation_8hpp_source.html#l00017">17</a> of file <a class="el" href="logical__negation_8hpp_source.html">logical_negation.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a206eb210d8e7e2c718af25c40de8f9d1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::logical_neq </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return 1 if the first argument is unequal to the second. </p>
+<p>Equivalent to <code>x1 != x2</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of first argument. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of second argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x1</td><td>First argument </td></tr>
+    <tr><td class="paramname">x2</td><td>Second argument </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> iff <code>x1 != x2</code> </dd></dl>
+
+<p>Definition at line <a class="el" href="logical__neq_8hpp_source.html#l00019">19</a> of file <a class="el" href="logical__neq_8hpp_source.html">logical_neq.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac74007e2d5f55d5ae4a308f535869aee"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::logical_or </td>
+          <td>(</td>
+          <td class="paramtype">T1&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T2&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The logical or function which returns 1 if either argument is unequal to zero and 0 otherwise. </p>
+<p>Equivalent to <code>x1 != 0 || x2 != 0</code>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator||}(x, y) = \begin{cases} 0 &amp; \mbox{if } x, y=0 \\ 1 &amp; \mbox{if } x \neq 0 \textrm{ or } y\neq0\\[6pt] 1 &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_137.png"/>
+</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of first argument. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of second argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x1</td><td>First argument </td></tr>
+    <tr><td class="paramname">x2</td><td>Second argument </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><code>true</code> if either x1 or x2 is not equal to 0. </dd></dl>
+
+<p>Definition at line <a class="el" href="logical__or_8hpp_source.html#l00029">29</a> of file <a class="el" href="logical__or_8hpp_source.html">logical_or.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2fd36ac96595c375db7fddc885c30794"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::logistic_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="logistic__ccdf__log_8hpp_source.html#l00031">31</a> of file <a class="el" href="logistic__ccdf__log_8hpp_source.html">logistic_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1e1ca40295978d785324b33f3a78c96b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::logistic_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="logistic__cdf_8hpp_source.html#l00031">31</a> of file <a class="el" href="logistic__cdf_8hpp_source.html">logistic_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a88d9fcb73b6a1d04896031edc0d8e510"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::logistic_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="logistic__cdf__log_8hpp_source.html#l00030">30</a> of file <a class="el" href="logistic__cdf__log_8hpp_source.html">logistic_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a431d5fcf935535cbe08981286652d57b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::logistic_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="logistic__log_8hpp_source.html#l00032">32</a> of file <a class="el" href="logistic__log_8hpp_source.html">logistic_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a35fdf5c03ed2e39d081df54372622eec"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::logistic_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="logistic__log_8hpp_source.html#l00142">142</a> of file <a class="el" href="logistic__log_8hpp_source.html">logistic_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac9fc8e75fbb17cb5f22079e90fac128b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::logistic_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="logistic__rng_8hpp_source.html#l00024">24</a> of file <a class="el" href="logistic__rng_8hpp_source.html">logistic_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab025eaf1e6f5c920f69c37e7a7f8b319"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::logit </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2logit_8hpp_source.html#l00017">17</a> of file <a class="el" href="fwd_2scal_2fun_2logit_8hpp_source.html">logit.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a53342d0c2cd3a6e440c533070054aca3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::logit </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the logit function applied to the argument. </p>
+<p>The logit function is defined as for <img class="formulaInl" alt="$x \in [0, 1]$" src="form_138.png"/> by returning the log odds of <img class="formulaInl" alt="$x$" src="form_99.png"/> treated as a probability,</p>
+<p><img class="formulaInl" alt="$\mbox{logit}(x) = \log \left( \frac{x}{1 - x} \right)$" src="form_139.png"/>.</p>
+<p>The inverse to this function is <code><a class="el" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a></code>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{logit}(x) = \begin{cases} \textrm{NaN}&amp; \mbox{if } x < 0 \textrm{ or } x > 1\\ \ln\frac{x}{1-x} &amp; \mbox{if } 0\leq x \leq 1 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_140.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{logit}(x)}{\partial x} = \begin{cases} \textrm{NaN}&amp; \mbox{if } x < 0 \textrm{ or } x > 1\\ \frac{1}{x-x^2}&amp; \mbox{if } 0\leq x\leq 1 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_141.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Logit of the argument. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2logit_8hpp_source.html#l00044">44</a> of file <a class="el" href="prim_2scal_2fun_2logit_8hpp_source.html">logit.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afacb0f2c6b58bc55e506f3bfcf9ba829"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::lognormal_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lognormal__ccdf__log_8hpp_source.html#l00025">25</a> of file <a class="el" href="lognormal__ccdf__log_8hpp_source.html">lognormal_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9536cc20905aca8f393138adbe71bb73"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::lognormal_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lognormal__cdf_8hpp_source.html#l00025">25</a> of file <a class="el" href="lognormal__cdf_8hpp_source.html">lognormal_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1a771406ab16c52532e52bebc21c31f6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::lognormal_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lognormal__cdf__log_8hpp_source.html#l00025">25</a> of file <a class="el" href="lognormal__cdf__log_8hpp_source.html">lognormal_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a623bb0aad5e3d872d52d0443a46ad270"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::lognormal_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lognormal__log_8hpp_source.html#l00033">33</a> of file <a class="el" href="lognormal__log_8hpp_source.html">lognormal_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2bfc3796274f4ccd677f96792551c127"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::lognormal_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lognormal__log_8hpp_source.html#l00158">158</a> of file <a class="el" href="lognormal__log_8hpp_source.html">lognormal_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af5a619e160ca64fff9f2d69b32bf69b6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::lognormal_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="lognormal__rng_8hpp_source.html#l00021">21</a> of file <a class="el" href="lognormal__rng_8hpp_source.html">lognormal_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5cc0ef5cf22dda83988c062b529dc3a6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename TL , typename TU &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T, TL, TU&gt;::type stan::math::lub_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">TL&#160;</td>
+          <td class="paramname"><em>lb</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">TU&#160;</td>
+          <td class="paramname"><em>ub</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the lower- and upper-bounded scalar derived by transforming the specified free scalar given the specified lower and upper bounds. </p>
+<p>The transform is the transformed and scaled inverse logit,</p>
+<p><img class="formulaInl" alt="$f(x) = L + (U - L) \mbox{logit}^{-1}(x)$" src="form_142.png"/></p>
+<p>If the lower bound is negative infinity and upper bound finite, this function reduces to <code>ub_constrain(x, ub)</code>. If the upper bound is positive infinity and the lower bound finite, this function reduces to <code>lb_constrain(x, lb)</code>. If the upper bound is positive infinity and the lower bound negative infinity, this function reduces to <code>identity_constrain(x)</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free scalar to transform. </td></tr>
+    <tr><td class="paramname">lb</td><td>Lower bound. </td></tr>
+    <tr><td class="paramname">ub</td><td>Upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Lower- and upper-bounded scalar derived from transforming the free scalar. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">TL</td><td>Type of lower bound. </td></tr>
+    <tr><td class="paramname">TU</td><td>Type of upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if ub &lt;= lb </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="lub__constrain_8hpp_source.html#l00045">45</a> of file <a class="el" href="lub__constrain_8hpp_source.html">lub_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab51cc5fe98ac938435e614765e30655a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename TL , typename TU &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T, TL, TU&gt;::type stan::math::lub_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const TL&#160;</td>
+          <td class="paramname"><em>lb</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const TU&#160;</td>
+          <td class="paramname"><em>ub</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the lower- and upper-bounded scalar derived by transforming the specified free scalar given the specified lower and upper bounds and increment the specified log probability with the log absolute Jacobian determinant. </p>
+<p>The transform is as defined in <code>lub_constrain(T, double, double)</code>. The log absolute Jacobian determinant is given by</p>
+<p><img class="formulaInl" alt="$\log \left| \frac{d}{dx} \left( L + (U-L) \mbox{logit}^{-1}(x) \right) \right|$" src="form_143.png"/></p>
+<p><img class="formulaInl" alt="$ {} = \log | (U-L) \, (\mbox{logit}^{-1}(x)) \, (1 - \mbox{logit}^{-1}(x)) |$" src="form_144.png"/></p>
+<p><img class="formulaInl" alt="$ {} = \log (U - L) + \log (\mbox{logit}^{-1}(x)) + \log (1 - \mbox{logit}^{-1}(x))$" src="form_145.png"/></p>
+<p>If the lower bound is negative infinity and upper bound finite, this function reduces to <code>ub_constrain(x, ub, lp)</code>. If the upper bound is positive infinity and the lower bound finite, this function reduces to <code>lb_constrain(x, lb, lp)</code>. If the upper bound is positive infinity and the lower bound negative infinity, this function reduces to <code>identity_constrain(x, lp)</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free scalar to transform. </td></tr>
+    <tr><td class="paramname">lb</td><td>Lower bound. </td></tr>
+    <tr><td class="paramname">ub</td><td>Upper bound. </td></tr>
+    <tr><td class="paramname">lp</td><td>Log probability scalar reference. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Lower- and upper-bounded scalar derived from transforming the free scalar. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">TL</td><td>Type of lower bound. </td></tr>
+    <tr><td class="paramname">TU</td><td>Type of upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if ub &lt;= lb </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="lub__constrain_8hpp_source.html#l00115">115</a> of file <a class="el" href="lub__constrain_8hpp_source.html">lub_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab9fa09fdc448652a57d364d70d6e88e3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename TL , typename TU &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T, TL, TU&gt;::type stan::math::lub_free </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">TL&#160;</td>
+          <td class="paramname"><em>lb</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">TU&#160;</td>
+          <td class="paramname"><em>ub</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the unconstrained scalar that transforms to the specified lower- and upper-bounded scalar given the specified bounds. </p>
+<p>The transfrom in <code>lub_constrain(T, double, double)</code>, is reversed by a transformed and scaled logit,</p>
+<p><img class="formulaInl" alt="$f^{-1}(y) = \mbox{logit}(\frac{y - L}{U - L})$" src="form_146.png"/></p>
+<p>where <img class="formulaInl" alt="$U$" src="form_147.png"/> and <img class="formulaInl" alt="$L$" src="form_9.png"/> are the lower and upper bounds.</p>
+<p>If the lower bound is negative infinity and upper bound finite, this function reduces to <code>ub_free(y, ub)</code>. If the upper bound is positive infinity and the lower bound finite, this function reduces to <code>lb_free(x, lb)</code>. If the upper bound is positive infinity and the lower bound negative infinity, this function reduces to <code>identity_free(y)</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Scalar input. </td></tr>
+    <tr><td class="paramname">lb</td><td>Lower bound. </td></tr>
+    <tr><td class="paramname">ub</td><td>Upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The free scalar that transforms to the input scalar given the bounds. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td>if the lower bound is greater than the upper bound, y is less than the lower bound, or y is greater than the upper bound </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="lub__free_8hpp_source.html#l00047">47</a> of file <a class="el" href="lub__free_8hpp_source.html">lub_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a173839dddd0a8ac8afa710b9e3d5008a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::machine_precision </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the difference between 1.0 and the next value representable. </p>
+<dl class="section return"><dt>Returns</dt><dd>Minimum positive number. </dd></dl>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00151">151</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a71d39c88943f3fb8e45759c62d68953b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const Eigen::Array&lt;T, Eigen::Dynamic, 1&gt; stan::math::make_nu </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>eta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>K</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>This function calculates the degrees of freedom for the t distribution that corresponds to the shape parameter in the Lewandowski et. </p>
+<p>al. distribution</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">eta</td><td>hyperparameter on (0, inf), eta = 1 &lt;-&gt; correlation matrix is uniform </td></tr>
+    <tr><td class="paramname">K</td><td>number of variables in covariance matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="make__nu_8hpp_source.html#l00022">22</a> of file <a class="el" href="make__nu_8hpp_source.html">make_nu.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3feb895ef1190ad6e77185e70a3fa66d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_Mu , typename T_Sigma , typename T_D &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_Mu, T_Sigma, T_D&gt;::type stan::math::matrix_normal_prec_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_Mu, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_Sigma, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_D, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>D</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of the matrix normal density for the given y, mu, Sigma and D where Sigma and D are given as precision matrices, not covariance matrices. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>An mxn matrix. </td></tr>
+    <tr><td class="paramname">Mu</td><td>The mean matrix. </td></tr>
+    <tr><td class="paramname">Sigma</td><td>The mxm inverse covariance matrix (i.e., the precision matrix) of the rows of y. </td></tr>
+    <tr><td class="paramname">D</td><td>The nxn inverse covariance matrix (i.e., the precision matrix) of the columns of y. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the matrix normal density. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if Sigma or D are not square, not symmetric, or not semi-positive definite. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_Mu</td><td>Type of location. </td></tr>
+    <tr><td class="paramname">T_Sigma</td><td>Type of Sigma. </td></tr>
+    <tr><td class="paramname">T_D</td><td>Type of D. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="matrix__normal__prec__log_8hpp_source.html#l00043">43</a> of file <a class="el" href="matrix__normal__prec__log_8hpp_source.html">matrix_normal_prec_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="add509bb48f33e775f906f8e9e0c0c4f9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_Mu , typename T_Sigma , typename T_D &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_Mu, T_Sigma, T_D&gt;::type stan::math::matrix_normal_prec_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_Mu, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_Sigma, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_D, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>D</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="matrix__normal__prec__log_8hpp_source.html#l00112">112</a> of file <a class="el" href="matrix__normal__prec__log_8hpp_source.html">matrix_normal_prec_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5da0ef87756d3dbd20ca4ff5a3efa10d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::max </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the maximum coefficient in the specified column vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Maximum coefficient value in the vector. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">Type</td><td>of values being compared and returned </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the size of the vector is zero. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="max_8hpp_source.html#l00021">21</a> of file <a class="el" href="max_8hpp_source.html">max.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acde414919e0e4dcfa72d565679819091"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::max </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the maximum coefficient in the specified column vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Maximum coefficient value in the vector. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of values being compared and returned </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="max_8hpp_source.html#l00039">39</a> of file <a class="el" href="max_8hpp_source.html">max.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae3f299773dc20e8305fc16df1be8d029"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::max </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the maximum coefficient in the specified vector, row vector, or matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified vector, row vector, or matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Maximum coefficient value in the vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="max_8hpp_source.html#l00056">56</a> of file <a class="el" href="max_8hpp_source.html">max.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0f50d0ea5c9343dae0945012924f127c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C2&gt; stan::math::mdivide_left </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__left_8hpp_source.html#l00024">24</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__left_8hpp_source.html">mdivide_left.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a78e254b9ffb28a6fe6820f9f84412907"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R1, C2&gt; stan::math::mdivide_left </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>Matrix. </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = A^-1 b, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if A is not square or the rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2mdivide__left_8hpp_source.html#l00025">25</a> of file <a class="el" href="prim_2mat_2fun_2mdivide__left_8hpp_source.html">mdivide_left.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1b9c580ecf4fc5b7a9e7523325a6cbe5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C2&gt; stan::math::mdivide_left </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__left_8hpp_source.html#l00068">68</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__left_8hpp_source.html">mdivide_left.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a933154f105a6d18864cfca8a8e2ff12c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C2&gt; stan::math::mdivide_left </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__left_8hpp_source.html#l00094">94</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__left_8hpp_source.html">mdivide_left.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aef0d163d45e4ee75444257dea341b731"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp_source.html#l00274">274</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp_source.html">mdivide_left.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad6f9550fa3c3a000d8fb1657681d7ecb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp_source.html#l00301">301</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp_source.html">mdivide_left.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad0203466ed040dd643c8b6d4a78d7f53"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp_source.html#l00328">328</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp_source.html">mdivide_left.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a63890dd40cd8ad08a55c3b4e8616c741"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2, typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T2&gt;, R1, C2&gt; stan::math::mdivide_left_ldlt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T2 &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = b A^-1, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00025">25</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8d06ecbc0a8e5cc50c42861bb20f1b0e"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2, typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R1, C2&gt; stan::math::mdivide_left_ldlt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = b A^-1, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00026">26</a> of file <a class="el" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a84f1163f092f8ce7053a67d3d46302ef"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left_ldlt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = b A^-1, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00246">246</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6a4be1cd5b51a7d2758a75e9541ad042"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left_ldlt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = b A^-1, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00274">274</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aed166703ba12f63c6cad94e0cc5a6f8f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left_ldlt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = b A^-1, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00302">302</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af0e78140ced17ce9be79c29b9f23321b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R1, C2&gt; stan::math::mdivide_left_spd </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b where A is symmetric positive definite. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>Matrix. </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = A^-1 b, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if A is not square or the rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2mdivide__left__spd_8hpp_source.html#l00028">28</a> of file <a class="el" href="prim_2mat_2fun_2mdivide__left__spd_8hpp_source.html">mdivide_left_spd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1ba7ed90b8091cf3dee35b9d4688cbc0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left_spd </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html#l00248">248</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html">mdivide_left_spd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae3487ef4bdd1b20d8d5e5f7d5ff57738"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left_spd </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html#l00275">275</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html">mdivide_left_spd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4b8412be81e5c41c2b59e761476ac82a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left_spd </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html#l00302">302</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html">mdivide_left_spd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab9ef591181f40598fd3c012c6e5e354d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int TriView, typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R1, C2&gt; stan::math::mdivide_left_tri </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b when A is triangular. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>Triangular matrix. Specify upper or lower with TriView being Eigen::Upper or Eigen::Lower. </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = A^-1 b, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if A is not square or the rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2mdivide__left__tri_8hpp_source.html#l00027">27</a> of file <a class="el" href="prim_2mat_2fun_2mdivide__left__tri_8hpp_source.html">mdivide_left_tri.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1e94b2554b4728e4932aded1d71eb026"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int TriView, typename T , int R1, int C1&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, R1, C1&gt; stan::math::mdivide_left_tri </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b when A is triangular and b=I. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>Triangular matrix. Specify upper or lower with TriView being Eigen::Upper or Eigen::Lower. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = A^-1 . </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if A is not square </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2mdivide__left__tri_8hpp_source.html#l00050">50</a> of file <a class="el" href="prim_2mat_2fun_2mdivide__left__tri_8hpp_source.html">mdivide_left_tri.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2622a3a81c3faba8fa3c3dfc5f848b48"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int TriView, int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left_tri </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html#l00304">304</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html">mdivide_left_tri.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa1f2d1a3336eefc43a12affb5862e663"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int TriView, int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left_tri </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html#l00330">330</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html">mdivide_left_tri.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a318338a3886f5b653a5e5d284db4ce50"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int TriView, int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; stan::math::mdivide_left_tri </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html#l00356">356</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html">mdivide_left_tri.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a154c4bb61dd8dce054238940b75aeaac"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R1, C2&gt; stan::math::mdivide_left_tri_low </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html#l00016">16</a> of file <a class="el" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">mdivide_left_tri_low.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7eb79c8ce7ae730ba02342b4241aeac1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C1&gt; stan::math::mdivide_left_tri_low </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html#l00022">22</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">mdivide_left_tri_low.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afdd9357ad5b52be5547eecdde95e968b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, R1, C1&gt; stan::math::mdivide_left_tri_low </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html#l00032">32</a> of file <a class="el" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">mdivide_left_tri_low.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a98e366981089fe4cd134efa82492ced2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C1&gt; stan::math::mdivide_left_tri_low </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html#l00068">68</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">mdivide_left_tri_low.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5d6c4407f5ae843d0c12e15863591d22"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C1&gt; stan::math::mdivide_left_tri_low </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html#l00109">109</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">mdivide_left_tri_low.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2ad09daa535a7aeda34199d43a8e9e29"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C2&gt; stan::math::mdivide_right </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__right_8hpp_source.html#l00024">24</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__right_8hpp_source.html">mdivide_right.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3fc8c5bb0af596842ae6cc7f11556f56"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R1, C2&gt; stan::math::mdivide_right </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>Matrix. </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = b A^-1, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if A is not square or the rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2mdivide__right_8hpp_source.html#l00026">26</a> of file <a class="el" href="prim_2mat_2fun_2mdivide__right_8hpp_source.html">mdivide_right.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a56f6566409d59f27b6f3086afeb0b18b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C2&gt; stan::math::mdivide_right </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__right_8hpp_source.html#l00068">68</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__right_8hpp_source.html">mdivide_right.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9769485dc9f11852020b153b2ffe8bff"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C2&gt; stan::math::mdivide_right </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__right_8hpp_source.html#l00095">95</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__right_8hpp_source.html">mdivide_right.hpp</a>.</p>
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+<a class="anchor" id="ad9f8ca30a27a0a70d32477a9fb4c4e25"></a>
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+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R1, C2&gt; stan::math::mdivide_right_ldlt </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system xA=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = A^-1 b, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mdivide__right__ldlt_8hpp_source.html#l00026">26</a> of file <a class="el" href="mdivide__right__ldlt_8hpp_source.html">mdivide_right_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1f4edbfe01ea37356acd24cc948425c8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, R1, C2&gt; stan::math::mdivide_right_ldlt </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mdivide__right__ldlt_8hpp_source.html#l00038">38</a> of file <a class="el" href="mdivide__right__ldlt_8hpp_source.html">mdivide_right_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab73c90537220c0205f5355895a14621c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R1, C2&gt; stan::math::mdivide_right_spd </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b where A is symmetric positive definite. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>Matrix. </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = b A^-1, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if A is not square or the rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mdivide__right__spd_8hpp_source.html#l00029">29</a> of file <a class="el" href="mdivide__right__spd_8hpp_source.html">mdivide_right_spd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a43a692492445dff37a2594267d530796"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int TriView, typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R1, C2&gt; stan::math::mdivide_right_tri </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system Ax=b when A is triangular. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>Triangular matrix. Specify upper or lower with TriView being Eigen::Upper or Eigen::Lower. </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = b A^-1, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if A is not square or the rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mdivide__right__tri_8hpp_source.html#l00029">29</a> of file <a class="el" href="mdivide__right__tri_8hpp_source.html">mdivide_right_tri.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5309461c7fc32ca494e80af0722766af"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C1&gt; stan::math::mdivide_right_tri_low </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html#l00022">22</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html">mdivide_right_tri_low.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a38aef2711a500bdb997863f0dc6b5d17"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R1, C2&gt; stan::math::mdivide_right_tri_low </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the solution of the system tri(A)x=b when tri(A) is a lower triangular view of the matrix A. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">A</td><td>Matrix. </td></tr>
+    <tr><td class="paramname">b</td><td>Right hand side matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>x = b * tri(A)^-1, solution of the linear system. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if A is not square or the rows of b don't match the size of A. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html#l00025">25</a> of file <a class="el" href="prim_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html">mdivide_right_tri_low.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a51cb38185a25a0971268ba6507af8667"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C2&gt; stan::math::mdivide_right_tri_low </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html#l00068">68</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html">mdivide_right_tri_low.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a046824a9236dae195f0c0e5eb69dd8a6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C2&gt; stan::math::mdivide_right_tri_low </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html#l00103">103</a> of file <a class="el" href="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html">mdivide_right_tri_low.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3443c4ac994b039a7f055c55c5afa8a3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::mean </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the sample mean (i.e., average) of the coefficients in the specified standard vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sample mean of vector coefficients. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if the size of the vector is less than 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mean_8hpp_source.html#l00023">23</a> of file <a class="el" href="mean_8hpp_source.html">mean.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8074c0041b93407c473fd26a7c45dc88"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::mean </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the sample mean (i.e., average) of the coefficients in the specified vector, row vector, or matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified vector, row vector, or matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sample mean of vector coefficients. </dd></dl>
+
+<p>Definition at line <a class="el" href="mean_8hpp_source.html#l00040">40</a> of file <a class="el" href="mean_8hpp_source.html">mean.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3f076860549f63d55c0e4985dce78099"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::min </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the minimum coefficient in the specified column vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Minimum coefficient value in the vector. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">Type</td><td>of values being compared and returned </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="min_8hpp_source.html#l00020">20</a> of file <a class="el" href="min_8hpp_source.html">min.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9e9c3a01030d96fd4c8f28e2ed8d3d61"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::min </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the minimum coefficient in the specified column vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Minimum coefficient value in the vector. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">Type</td><td>of values being compared and returned </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="min_8hpp_source.html#l00038">38</a> of file <a class="el" href="min_8hpp_source.html">min.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a86f2380e5c54a549e0f74ffd51204d33"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::min </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the minimum coefficient in the specified matrix, vector, or row vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified matrix, vector, or row vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Minimum coefficient value in the vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="min_8hpp_source.html#l00055">55</a> of file <a class="el" href="min_8hpp_source.html">min.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a87b343d6dc12982c2b76c453650c0797"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::minus </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the negation of the specified scalar or matrix. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of subtrahend. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Subtrahend. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Negation of subtrahend. </dd></dl>
+
+<p>Definition at line <a class="el" href="minus_8hpp_source.html#l00016">16</a> of file <a class="el" href="minus_8hpp_source.html">minus.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adcb3160540f6fe745abb846df2174742"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::modified_bessel_first_kind </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">modified_bessel_first_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5625b66e071a9b57af3f0dd9325c79bd"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::modified_bessel_first_kind </td>
+          <td>(</td>
+          <td class="paramtype">const int &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html#l00027">27</a> of file <a class="el" href="rev_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">modified_bessel_first_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acafecf14b103c7c17da33368d07b1565"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T2 stan::math::modified_bessel_first_kind </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{modified\_bessel\_first\_kind}(v, z) = \begin{cases} I_v(z) &amp; \mbox{if } -\infty\leq z \leq \infty \\[6pt] \textrm{error} &amp; \mbox{if } z = \textrm{NaN} \end{cases} \]" src="form_148.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{modified\_bessel\_first\_kind}(v, z)}{\partial z} = \begin{cases} \frac{\partial\, I_v(z)}{\partial z} &amp; \mbox{if } -\infty\leq z\leq \infty \\[6pt] \textrm{error} &amp; \mbox{if } z = \textrm{NaN} \end{cases} \]" src="form_149.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ {I_v}(z) = \left(\frac{1}{2}z\right)^v\sum_{k=0}^\infty \frac{\left(\frac{1}{4}z^2\right)^k}{k!\Gamma(v+k+1)} \]" src="form_150.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, I_v(z)}{\partial z} = I_{v-1}(z)-\frac{v}{z}I_v(z) \]" src="form_151.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html#l00039">39</a> of file <a class="el" href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">modified_bessel_first_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3277f8bf3ed3b3e36a61dedd4ed0449b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::modified_bessel_second_kind </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html">modified_bessel_second_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1f39f5d25033d6fb49cf875cc18fa956"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::modified_bessel_second_kind </td>
+          <td>(</td>
+          <td class="paramtype">const int &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html#l00027">27</a> of file <a class="el" href="rev_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html">modified_bessel_second_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a72ce86f3db5478cad4666c9cf1d05a6e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T2 stan::math::modified_bessel_second_kind </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>z</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{modified\_bessel\_second\_kind}(v, z) = \begin{cases} \textrm{error} &amp; \mbox{if } z \leq 0 \\ K_v(z) &amp; \mbox{if } z > 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } z = \textrm{NaN} \end{cases} \]" src="form_152.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{modified\_bessel\_second\_kind}(v, z)}{\partial z} = \begin{cases} \textrm{error} &amp; \mbox{if } z \leq 0 \\ \frac{\partial\, K_v(z)}{\partial z} &amp; \mbox{if } z > 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } z = \textrm{NaN} \end{cases} \]" src="form_153.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ {K_v}(z) = \frac{\pi}{2}\cdot\frac{I_{-v}(z) - I_{v}(z)}{\sin(v\pi)} \]" src="form_154.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, K_v(z)}{\partial z} = -\frac{v}{z}K_v(z)-K_{v-1}(z) \]" src="form_155.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html#l00042">42</a> of file <a class="el" href="prim_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html">modified_bessel_second_kind.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afcf62df7cae63f67b1c5c67651bc8dcf"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::modulus </td>
+          <td>(</td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="modulus_8hpp_source.html#l00010">10</a> of file <a class="el" href="modulus_8hpp_source.html">modulus.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a07d240bac837d28cf3d5922de0271cf8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_covar , typename T_w &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_covar, T_w&gt;::type stan::math::multi_gp_cholesky_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_w, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>w</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of a multivariate Gaussian Process for the given y, w, and a Cholesky factor L of the kernel matrix Sigma. </p>
+<p>Sigma = LL', a square, semi-positive definite matrix.. y is a dxN matrix, where each column is a different observation and each row is a different output dimension. The Gaussian Process is assumed to have a scaled kernel matrix with a different scale for each output dimension. This distribution is equivalent to: for (i in 1:d) row(y, i) ~ multi_normal(0, (1/w[i])*LL').</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A dxN matrix </td></tr>
+    <tr><td class="paramname">L</td><td>The Cholesky decomposition of a kernel matrix </td></tr>
+    <tr><td class="paramname">w</td><td>A d-dimensional vector of positve inverse scale parameters for each output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the multivariate GP density. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if Sigma is not square, not symmetric, or not semi-positive definite. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_covar</td><td>Type of kernel. </td></tr>
+    <tr><td class="paramname">T_w</td><td>Type of weight. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="multi__gp__cholesky__log_8hpp_source.html#l00043">43</a> of file <a class="el" href="multi__gp__cholesky__log_8hpp_source.html">multi_gp_cholesky_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a44ed8a0eabcdfa57bc7fde011d30bf8c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_covar , typename T_w &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_covar, T_w&gt;::type stan::math::multi_gp_cholesky_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>L</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_w, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>w</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multi__gp__cholesky__log_8hpp_source.html#l00106">106</a> of file <a class="el" href="multi__gp__cholesky__log_8hpp_source.html">multi_gp_cholesky_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a74b27063a645fbb1e20add3cc5f2aed5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_covar , typename T_w &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_covar, T_w&gt;::type stan::math::multi_gp_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_w, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>w</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of a multivariate Gaussian Process for the given y, Sigma, and w. </p>
+<p>y is a dxN matrix, where each column is a different observation and each row is a different output dimension. The Gaussian Process is assumed to have a scaled kernel matrix with a different scale for each output dimension. This distribution is equivalent to: for (i in 1:d) row(y, i) ~ multi_normal(0, (1/w[i])*Sigma).</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A dxN matrix </td></tr>
+    <tr><td class="paramname">Sigma</td><td>The NxN kernel matrix </td></tr>
+    <tr><td class="paramname">w</td><td>A d-dimensional vector of positve inverse scale parameters for each output. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the multivariate GP density. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if Sigma is not square, not symmetric, or not semi-positive definite. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_covar</td><td>Type of kernel. </td></tr>
+    <tr><td class="paramname">T_w</td><td>Type of weight. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="multi__gp__log_8hpp_source.html#l00045">45</a> of file <a class="el" href="multi__gp__log_8hpp_source.html">multi_gp_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3535a644a9ec735e4c5ed0951909d1ab"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_covar , typename T_w &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_covar, T_w&gt;::type stan::math::multi_gp_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_covar, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>Sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_w, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>w</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multi__gp__log_8hpp_source.html#l00112">112</a> of file <a class="el" href="multi__gp__log_8hpp_source.html">multi_gp_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a73c48789407296b1fd9497d3e27ef26d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_covar &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_covar&gt;::type stan::math::multi_normal_cholesky_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_covar &amp;&#160;</td>
+          <td class="paramname"><em>L</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of the multivariate normal density for the given y, mu, and a Cholesky factor L of the variance matrix. </p>
+<p>Sigma = LL', a square, semi-positive definite matrix.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar vector </td></tr>
+    <tr><td class="paramname">mu</td><td>The mean vector of the multivariate normal distribution. </td></tr>
+    <tr><td class="paramname">L</td><td>The Cholesky decomposition of a variance matrix of the multivariate normal distribution </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the multivariate normal density. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if LL' is not square, not symmetric, or not semi-positive definite. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_loc</td><td>Type of location. </td></tr>
+    <tr><td class="paramname">T_covar</td><td>Type of scale. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="multi__normal__cholesky__log_8hpp_source.html#l00047">47</a> of file <a class="el" href="multi__normal__cholesky__log_8hpp_source.html">multi_normal_cholesky_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af5aed6517d1de44fc193a8bf7b018bfe"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_covar &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_covar&gt;::type stan::math::multi_normal_cholesky_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_covar &amp;&#160;</td>
+          <td class="paramname"><em>L</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multi__normal__cholesky__log_8hpp_source.html#l00153">153</a> of file <a class="el" href="multi__normal__cholesky__log_8hpp_source.html">multi_normal_cholesky_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a37a359079d7b7324ec30bcf91755ebd6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::VectorXd stan::math::multi_normal_cholesky_rng </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multi__normal__cholesky__rng_8hpp_source.html#l00029">29</a> of file <a class="el" href="multi__normal__cholesky__rng_8hpp_source.html">multi_normal_cholesky_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a69fa873591f0954b506eb709537a73f8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_covar &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_covar&gt;::type stan::math::multi_normal_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_covar &amp;&#160;</td>
+          <td class="paramname"><em>Sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multi__normal__log_8hpp_source.html#l00027">27</a> of file <a class="el" href="multi__normal__log_8hpp_source.html">multi_normal_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a38c98c7961178da90570cb63499eb2b8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_covar &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_covar&gt;::type stan::math::multi_normal_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_covar &amp;&#160;</td>
+          <td class="paramname"><em>Sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multi__normal__log_8hpp_source.html#l00128">128</a> of file <a class="el" href="multi__normal__log_8hpp_source.html">multi_normal_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a83fb51aaff3da3d727bc12a3cdd106c5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_covar &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_covar&gt;::type stan::math::multi_normal_prec_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_covar &amp;&#160;</td>
+          <td class="paramname"><em>Sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multi__normal__prec__log_8hpp_source.html#l00035">35</a> of file <a class="el" href="multi__normal__prec__log_8hpp_source.html">multi_normal_prec_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a79191e304518140dbaf8feaab2c90aab"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_covar &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_covar&gt;::type stan::math::multi_normal_prec_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_covar &amp;&#160;</td>
+          <td class="paramname"><em>Sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multi__normal__prec__log_8hpp_source.html#l00143">143</a> of file <a class="el" href="multi__normal__prec__log_8hpp_source.html">multi_normal_prec_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aefcc0f0ea45582c996a1a4107aa603c6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::VectorXd stan::math::multi_normal_rng </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multi__normal__rng_8hpp_source.html#l00024">24</a> of file <a class="el" href="multi__normal__rng_8hpp_source.html">multi_normal_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac7b9a72ca7018cbf7883d7104345b4f6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_loc, T_scale&gt;::type stan::math::multi_student_t_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>Sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the log of the multivariate Student t distribution at the specified arguments. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">propto</td><td>Carry out calculations up to a proportion </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="multi__student__t__log_8hpp_source.html#l00035">35</a> of file <a class="el" href="multi__student__t__log_8hpp_source.html">multi_student_t_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1e1b7da1cebae4c8db3067f614c777aa"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_loc, T_scale&gt;::type stan::math::multi_student_t_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>Sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multi__student__t__log_8hpp_source.html#l00170">170</a> of file <a class="el" href="multi__student__t__log_8hpp_source.html">multi_student_t_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a62ca08f9f743eddc410f87ee2621d653"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::VectorXd stan::math::multi_student_t_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>s</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multi__student__t__rng_8hpp_source.html#l00029">29</a> of file <a class="el" href="multi__student__t__rng_8hpp_source.html">multi_student_t_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a65b47c026be99de35988287412664e3d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob&gt;::type stan::math::multinomial_log </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>ns</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multinomial__log_8hpp_source.html#l00024">24</a> of file <a class="el" href="multinomial__log_8hpp_source.html">multinomial_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae23c14c3cb5d40c6fa46b89ddc5d5285"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_prob &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_prob&gt;::type stan::math::multinomial_log </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>ns</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multinomial__log_8hpp_source.html#l00059">59</a> of file <a class="el" href="multinomial__log_8hpp_source.html">multinomial_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a99ab77cc7ea8b9f49a61abe7576c8331"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;int&gt; stan::math::multinomial_rng </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>N</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="multinomial__rng_8hpp_source.html#l00023">23</a> of file <a class="el" href="multinomial__rng_8hpp_source.html">multinomial_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a35a69b84ead3c81cbaff702ac429e1cc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C1&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a919d4a6495c489841df3d0423200b147"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;boost::is_arithmetic&lt;T&gt;::value, Eigen::Matrix&lt;double, R, C&gt; &gt;::type stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return specified matrix multiplied by specified scalar. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">R</td><td>Row type for matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type for matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Matrix. </td></tr>
+    <tr><td class="paramname">c</td><td>Scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of matrix and scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html#l00026">26</a> of file <a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
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+</div>
+<a class="anchor" id="a064999d72ccfe825466a8d35221270c6"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt; (boost::is_scalar&lt;T1&gt;::value || boost::is_same&lt;T1, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value) &amp;&amp; (boost::is_scalar&lt;T2&gt;::value || boost::is_same&lt;T2, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value), typename boost::math::tools::promote_args&lt;T1, T2&gt;::type&gt;::type stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the product of two scalars. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>First scalar. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">c</td><td>Specified scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of scalars. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2multiply_8hpp_source.html#l00032">32</a> of file <a class="el" href="rev_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa473aa547cf1bb658edb99fd1182e989"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R2, C2&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00033">33</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2287bd9466a58f7df6ca88bf3374c7e9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R2, C2&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the product of scalar and matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">c</td><td>Specified scalar. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>Matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of scalar and matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2multiply_8hpp_source.html#l00044">44</a> of file <a class="el" href="rev_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
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+</div>
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+<a class="anchor" id="a81ca3cf29874f3f7a3334b0b7e5db09b"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T , int R1, int C1&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C1&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00045">45</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
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+<a class="anchor" id="a5a2b6dbfb5543b73dac8496091745ec1"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;boost::is_arithmetic&lt;T&gt;::value, Eigen::Matrix&lt;double, R, C&gt; &gt;::type stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return specified scalar multiplied by specified matrix. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">R</td><td>Row type for matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type for matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">c</td><td>Scalar. </td></tr>
+    <tr><td class="paramname">m</td><td>Matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of scalar and matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html#l00046">46</a> of file <a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
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+template&lt;typename T , int R1, int C1&gt; </div>
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+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C1&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00057">57</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a0671954ee3596b7ca59ec1e3bf832c63"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , int R1, int C1, typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the product of scalar and matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>Matrix. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">c</td><td>Specified scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of scalar and matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2multiply_8hpp_source.html#l00058">58</a> of file <a class="el" href="rev_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeefbdef5245cd4f80dcee30d2a36131f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, R1, C2&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the product of the specified matrices. </p>
+<p>The number of columns in the first matrix must be the same as the number of rows in the second matrix. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m1</td><td>First matrix. </td></tr>
+    <tr><td class="paramname">m2</td><td>Second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The product of the first and second matrices. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if the number of columns of m1 does not match the number of rows of m2. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html#l00063">63</a> of file <a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="ad58b9aa1f80267935b6dc1bf57a20090"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C1&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00064">64</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a18ef18d2345a17eb4044bb4697c18ca3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C1&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00071">71</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6ba7d9d70a0b0c4515d767bcde7d2f66"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt; boost::is_same&lt;T1, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;T2, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C2&gt; &gt;::type stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the product of the specified matrices. </p>
+<p>The number of columns in the first matrix must be the same as the number of rows in the second matrix. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">m1</td><td>First matrix. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">m2</td><td>Second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The product of the first and second matrices. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if the number of columns of m1 does not match the number of rows of m2. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2multiply_8hpp_source.html#l00077">77</a> of file <a class="el" href="rev_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a79dea45b5f0a70316514dadfa5bd5ea2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C2&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00078">78</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6e67698775aaac248efa49b646ca2a51"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int C1, int R2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, 1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>rv</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the scalar product of the specified row vector and specified column vector. </p>
+<p>The return is the same as the dot product. The two vectors must be the same size. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">rv</td><td>Row vector. </td></tr>
+    <tr><td class="paramname">v</td><td>Column vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Scalar result of multiplying row vector by column vector. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if rv and v are not the same size. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html#l00081">81</a> of file <a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa34755674f81a0403550b728a50b390d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C2&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00097">97</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a22fc2abfda7f892c5eeb8fec8f8cd765"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, C2&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00116">116</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
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+<a class="anchor" id="aeaecf22fee1b8944975a8124cd294bf0"></a>
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+<div class="memtemplate">
+template&lt;typename T1 , int C1, typename T2 , int R2&gt; </div>
+<table class="mlabels">
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+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt; boost::is_same&lt;T1, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;T2, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt;::type stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, 1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>rv</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
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+</div><div class="memdoc">
+
+<p>Return the scalar product of the specified row vector and specified column vector. </p>
+<p>The return is the same as the dot product. The two vectors must be the same size. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">rv</td><td>Row vector. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>Column vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Scalar result of multiplying row vector by column vector. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if rv and v are not the same size </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2multiply_8hpp_source.html#l00129">129</a> of file <a class="el" href="rev_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
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+<a class="anchor" id="a69034d7594d58dd7f6362caa5aebe03d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int C1, int R2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, 1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>rv</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00135">135</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ace64b783b01a987d981c17cbcc33e4b6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int C1, int R2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, 1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>rv</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00146">146</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7af8534a80b35c3af6a6cf23cdddd46c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int C1, int R2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::multiply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, 1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>rv</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00157">157</a> of file <a class="el" href="fwd_2mat_2fun_2multiply_8hpp_source.html">multiply.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a055efd6bb49a1df5ea4da98d1078d0e6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::multiply_log </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2multiply__log_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2multiply__log_8hpp_source.html">multiply_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abafa25b9871a31fc9bad3b23e43f24e4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::multiply_log </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2multiply__log_8hpp_source.html#l00025">25</a> of file <a class="el" href="fwd_2scal_2fun_2multiply__log_8hpp_source.html">multiply_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac0df8fa73f8f9435f44780baa1379dc6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::multiply_log </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2multiply__log_8hpp_source.html#l00035">35</a> of file <a class="el" href="fwd_2scal_2fun_2multiply__log_8hpp_source.html">multiply_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0f15d9bf40cdab5e3ef75cea2595244c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_a , typename T_b &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_a, T_b&gt;::type stan::math::multiply_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_a&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_b&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Calculated the value of the first argument times log of the second argument while behaving properly with 0 inputs. </p>
+<p><img class="formulaInl" alt="$ a * \log b $" src="form_156.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{multiply\_log}(x, y) = \begin{cases} 0 &amp; \mbox{if } x=y=0\\ x\ln y &amp; \mbox{if } x, y\neq0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_157.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{multiply\_log}(x, y)}{\partial x} = \begin{cases} \infty &amp; \mbox{if } x=y=0\\ \ln y &amp; \mbox{if } x, y\neq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_158.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{multiply\_log}(x, y)}{\partial y} = \begin{cases} \infty &amp; \mbox{if } x=y=0\\ \frac{x}{y} &amp; \mbox{if } x, y\neq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_159.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>the first variable </td></tr>
+    <tr><td class="paramname">b</td><td>the second variable</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>a * log(b) </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html#l00051">51</a> of file <a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">multiply_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3da7e77b75bf5f288ddc7c546f941c70"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::multiply_log </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of a*log(b). </p>
+<p>When both a and b are 0, the value returned is 0. The partial deriviative with respect to a is log(b). The partial deriviative with respect to b is a/b. When a and b are both 0, this is set to Inf.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of a*log(b) </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2multiply__log_8hpp_source.html#l00074">74</a> of file <a class="el" href="rev_2scal_2fun_2multiply__log_8hpp_source.html">multiply_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa05bd638024e60440e56c8ee4a0dbab3"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::multiply_log </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of a*log(b). </p>
+<p>When both a and b are 0, the value returned is 0. The partial deriviative with respect to a is log(b).</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of a*log(b) </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2multiply__log_8hpp_source.html#l00087">87</a> of file <a class="el" href="rev_2scal_2fun_2multiply__log_8hpp_source.html">multiply_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3c980d72501fd340f6148c125c1da018"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::multiply_log </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of a*log(b). </p>
+<p>When both a and b are 0, the value returned is 0. The partial deriviative with respect to b is a/b. When a and b are both 0, this is set to Inf.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First scalar. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of a*log(b) </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2multiply__log_8hpp_source.html#l00101">101</a> of file <a class="el" href="rev_2scal_2fun_2multiply__log_8hpp_source.html">multiply_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0d671dcfc6f4c1b4896c5d8bc4568acf"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, R&gt; stan::math::multiply_lower_tri_self_transpose </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html#l00017">17</a> of file <a class="el" href="fwd_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">multiply_lower_tri_self_transpose.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3c0c953951f141b35277fe2308777cff"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">matrix_d</a> stan::math::multiply_lower_tri_self_transpose </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">matrix_d</a> &amp;&#160;</td>
+          <td class="paramname"><em>L</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the result of multiplying the lower triangular portion of the input matrix by its own transpose. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">L</td><td>Matrix to multiply. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The lower triangular values in L times their own transpose. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the input matrix is not square. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html#l00018">18</a> of file <a class="el" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">multiply_lower_tri_self_transpose.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6f4d12daa275a9a471974f6447396266"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a> stan::math::multiply_lower_tri_self_transpose </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a> &amp;&#160;</td>
+          <td class="paramname"><em>L</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html#l00019">19</a> of file <a class="el" href="rev_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">multiply_lower_tri_self_transpose.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a63d35a349ee49712178c19dde27fcc5d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_location , typename T_precision &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_location, T_precision&gt;::type stan::math::neg_binomial_2_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_location &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_precision &amp;&#160;</td>
+          <td class="paramname"><em>phi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__2__ccdf__log_8hpp_source.html#l00018">18</a> of file <a class="el" href="neg__binomial__2__ccdf__log_8hpp_source.html">neg_binomial_2_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6bc7b5ee1f4534f7c6eb509f08c1dd8b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_location , typename T_precision &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_location, T_precision&gt;::type stan::math::neg_binomial_2_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_location &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_precision &amp;&#160;</td>
+          <td class="paramname"><em>phi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__2__cdf_8hpp_source.html#l00026">26</a> of file <a class="el" href="neg__binomial__2__cdf_8hpp_source.html">neg_binomial_2_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ade0a4ada20d2611ea7b7c717bcfd42ad"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_location , typename T_precision &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_location, T_precision&gt;::type stan::math::neg_binomial_2_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_location &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_precision &amp;&#160;</td>
+          <td class="paramname"><em>phi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__2__cdf__log_8hpp_source.html#l00019">19</a> of file <a class="el" href="neg__binomial__2__cdf__log_8hpp_source.html">neg_binomial_2_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a72735047f883b88395f4e50e515140d2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_n , typename T_location , typename T_precision &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_location, T_precision&gt;::type stan::math::neg_binomial_2_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_location &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_precision &amp;&#160;</td>
+          <td class="paramname"><em>phi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__2__log_8hpp_source.html#l00037">37</a> of file <a class="el" href="neg__binomial__2__log_8hpp_source.html">neg_binomial_2_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abf533af613ce70cc7b53fd678c2363b7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_location , typename T_precision &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_location, T_precision&gt;::type stan::math::neg_binomial_2_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_location &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_precision &amp;&#160;</td>
+          <td class="paramname"><em>phi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__2__log_8hpp_source.html#l00141">141</a> of file <a class="el" href="neg__binomial__2__log_8hpp_source.html">neg_binomial_2_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a07f9603fcb9767d59c7aa75cfbd489e9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_n , typename T_log_location , typename T_precision &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_log_location, T_precision&gt;::type stan::math::neg_binomial_2_log_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_log_location &amp;&#160;</td>
+          <td class="paramname"><em>eta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_precision &amp;&#160;</td>
+          <td class="paramname"><em>phi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__2__log__log_8hpp_source.html#l00035">35</a> of file <a class="el" href="neg__binomial__2__log__log_8hpp_source.html">neg_binomial_2_log_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aef63f32976322da20fcea2a0c15fb888"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_log_location , typename T_precision &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_log_location, T_precision&gt;::type stan::math::neg_binomial_2_log_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_log_location &amp;&#160;</td>
+          <td class="paramname"><em>eta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_precision &amp;&#160;</td>
+          <td class="paramname"><em>phi</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__2__log__log_8hpp_source.html#l00142">142</a> of file <a class="el" href="neg__binomial__2__log__log_8hpp_source.html">neg_binomial_2_log_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a626a27ed755b59249175c99dd2548ea3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::neg_binomial_2_log_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>eta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>phi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__2__log__rng_8hpp_source.html#l00028">28</a> of file <a class="el" href="neg__binomial__2__log__rng_8hpp_source.html">neg_binomial_2_log_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1088da4c2c0c2b157862fbad43c75d0a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::neg_binomial_2_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>phi</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__2__rng_8hpp_source.html#l00028">28</a> of file <a class="el" href="neg__binomial__2__rng_8hpp_source.html">neg_binomial_2_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a176323fd45f7f70cf9fa801310c3c614"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_shape , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_shape, T_inv_scale&gt;::type stan::math::neg_binomial_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__ccdf__log_8hpp_source.html#l00034">34</a> of file <a class="el" href="neg__binomial__ccdf__log_8hpp_source.html">neg_binomial_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a31e90bd5f65cafdcd66b41617bf31718"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_shape , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_shape, T_inv_scale&gt;::type stan::math::neg_binomial_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__cdf_8hpp_source.html#l00029">29</a> of file <a class="el" href="neg__binomial__cdf_8hpp_source.html">neg_binomial_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a51e5ebf37ccf49350280631039a23017"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_shape , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_shape, T_inv_scale&gt;::type stan::math::neg_binomial_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__cdf__log_8hpp_source.html#l00034">34</a> of file <a class="el" href="neg__binomial__cdf__log_8hpp_source.html">neg_binomial_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5b3f283f0d71f78bb437e1e1c4fdb805"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_n , typename T_shape , typename T_inv_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_shape, T_inv_scale&gt;::type stan::math::neg_binomial_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__log_8hpp_source.html#l00039">39</a> of file <a class="el" href="neg__binomial__log_8hpp_source.html">neg_binomial_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a24147a6471d65586101de3a5dfa4a53c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_shape , typename T_inv_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_shape, T_inv_scale&gt;::type stan::math::neg_binomial_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_inv_scale &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__log_8hpp_source.html#l00183">183</a> of file <a class="el" href="neg__binomial__log_8hpp_source.html">neg_binomial_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a898e2ab003c78229367378b150c78aca"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::neg_binomial_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>beta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="neg__binomial__rng_8hpp_source.html#l00029">29</a> of file <a class="el" href="neg__binomial__rng_8hpp_source.html">neg_binomial_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34bffe91b7a24cb29bd69cb60814c39e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::negative_infinity </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return negative infinity. </p>
+<dl class="section return"><dt>Returns</dt><dd>Negative infinity. </dd></dl>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00132">132</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac0f68ac575a2b8dff3a7a2359962c607"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static size_t stan::math::nested_size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="nested__size_8hpp_source.html#l00010">10</a> of file <a class="el" href="nested__size_8hpp_source.html">nested_size.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2214490cfe7d81bdc51318028cd7df94"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::normal_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="normal__ccdf__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="normal__ccdf__log_8hpp_source.html">normal_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa2b9ee666af5f1741dc9f75108176386"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::normal_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Calculates the normal cumulative distribution function for the given variate, location, and scale. </p>
+<p><img class="formulaInl" alt="$\Phi(x) = \frac{1}{\sqrt{2 \pi}} \int_{-\inf}^x e^{-t^2/2} dt$" src="form_197.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variate. </td></tr>
+    <tr><td class="paramname">mu</td><td>The location of the normal distribution. </td></tr>
+    <tr><td class="paramname">sigma</td><td>The scale of the normal distriubtion </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The unit normal cdf evaluated at the specified arguments. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of y. </td></tr>
+    <tr><td class="paramname">T_loc</td><td>Type of mean parameter. </td></tr>
+    <tr><td class="paramname">T_scale</td><td>Type of standard deviation paramater. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="normal__cdf_8hpp_source.html#l00040">40</a> of file <a class="el" href="normal__cdf_8hpp_source.html">normal_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6d0b3b3339016b3282cf360feb7cd0f9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::normal_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="normal__cdf__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="normal__cdf__log_8hpp_source.html">normal_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1b7d387734f07e63bf2713b610f73a2d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::normal_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of the normal density for the specified scalar(s) given the specified mean(s) and deviation(s). </p>
+<p>y, mu, or sigma can each be either a scalar or a vector. Any vector inputs must be the same length.</p>
+<p>The result log probability is defined to be the sum of the log probabilities for each observation/mean/deviation triple. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>(Sequence of) scalar(s). </td></tr>
+    <tr><td class="paramname">mu</td><td>(Sequence of) location parameter(s) for the normal distribution. </td></tr>
+    <tr><td class="paramname">sigma</td><td>(Sequence of) scale parameters for the normal distribution. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the product of the densities. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if the scale is not positive. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Underlying type of scalar in sequence. </td></tr>
+    <tr><td class="paramname">T_loc</td><td>Type of location parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="normal__log_8hpp_source.html#l00045">45</a> of file <a class="el" href="normal__log_8hpp_source.html">normal_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afc2fd29076680ce830285130b5fd6f81"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::normal_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="normal__log_8hpp_source.html#l00138">138</a> of file <a class="el" href="normal__log_8hpp_source.html">normal_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac70652885c9903a1122575590075bc78"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::normal_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="normal__rng_8hpp_source.html#l00019">19</a> of file <a class="el" href="normal__rng_8hpp_source.html">normal_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a381493bccc58bd993d797a2a5458c486"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::not_a_number </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return (quiet) not-a-number. </p>
+<dl class="section return"><dt>Returns</dt><dd>Quiet not-a-number. </dd></dl>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00141">141</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac360c5b10dbf87d81e346f2be7d19ade"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::num_elements </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns 1, the number of elements in a primitive type. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Argument of primitive type. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1 </dd></dl>
+
+<p>Definition at line <a class="el" href="num__elements_8hpp_source.html#l00019">19</a> of file <a class="el" href="num__elements_8hpp_source.html">num_elements.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3e716815601bf5055a2d7fbfd8a757ea"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::num_elements </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the size of the specified matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>argument matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>size of matrix </dd></dl>
+
+<p>Definition at line <a class="el" href="num__elements_8hpp_source.html#l00031">31</a> of file <a class="el" href="num__elements_8hpp_source.html">num_elements.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a38a5d6d7f867666902fcd0adbe602920"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::num_elements </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the number of elements in the specified vector. </p>
+<p>This assumes it is not ragged and that each of its contained elements has the same number of elements.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>argument vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>number of contained arguments </dd></dl>
+
+<p>Definition at line <a class="el" href="num__elements_8hpp_source.html#l00045">45</a> of file <a class="el" href="num__elements_8hpp_source.html">num_elements.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aeee31e071296bea410dd943347b9a65d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator! </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Prefix logical negation for the value of variables (C++). </p>
+<p>The expression (!a) is equivalent to negating the scalar value of the variable a.</p>
+<p>Note that this is the only logical operator defined for variables. Overridden logical conjunction (&amp;&amp;) and disjunction (||) operators do not apply the same "short circuit" rules as the built-in logical operators.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator!}(x) = \begin{cases} 0 &amp; \mbox{if } x \neq 0 \\ 1 &amp; \mbox{if } x = 0 \\[6pt] 0 &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_248.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable to negate. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if variable is non-zero. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__unary__not_8hpp_source.html#l00031">31</a> of file <a class="el" href="operator__unary__not_8hpp_source.html">operator_unary_not.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a65438bf17da7bbedb06bc7c381cea865"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool <a class="el" href="namespacestan_1_1math.html#aeee31e071296bea410dd943347b9a65d">stan::math::operator!</a>= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__not__equal_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2core_2operator__not__equal_8hpp_source.html">operator_not_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a41e121241958fdcc4d2190bc532e9bc5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool <a class="el" href="namespacestan_1_1math.html#aeee31e071296bea410dd943347b9a65d">stan::math::operator!</a>= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__not__equal_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2core_2operator__not__equal_8hpp_source.html">operator_not_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae23eb5d64637b32c92292456aa006ff0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool <a class="el" href="namespacestan_1_1math.html#aeee31e071296bea410dd943347b9a65d">stan::math::operator!</a>= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Inequality operator comparing two variables' values (C++). </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator!=}(x, y) = \begin{cases} 0 &amp; \mbox{if } x = y\\ 1 &amp; \mbox{if } x \neq y \\[6pt] 0 &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_237.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if the first variable's value is not the same as the second's. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__not__equal_8hpp_source.html#l00026">26</a> of file <a class="el" href="rev_2core_2operator__not__equal_8hpp_source.html">operator_not_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae982faec66434385fda1c728b0b2bf3d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool <a class="el" href="namespacestan_1_1math.html#aeee31e071296bea410dd943347b9a65d">stan::math::operator!</a>= </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__not__equal_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2core_2operator__not__equal_8hpp_source.html">operator_not_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a570111dc15835a88afcfb8130b4746fd"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool <a class="el" href="namespacestan_1_1math.html#aeee31e071296bea410dd943347b9a65d">stan::math::operator!</a>= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Inequality operator comparing a variable's value and a double (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if the first variable's value is not the same as the second value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__not__equal_8hpp_source.html#l00039">39</a> of file <a class="el" href="rev_2core_2operator__not__equal_8hpp_source.html">operator_not_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa6464b66683b8cf12702e71c155853b7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool <a class="el" href="namespacestan_1_1math.html#aeee31e071296bea410dd943347b9a65d">stan::math::operator!</a>= </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Inequality operator comparing a double and a variable's value (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First value. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if the first value is not the same as the second variable's value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__not__equal_8hpp_source.html#l00052">52</a> of file <a class="el" href="rev_2core_2operator__not__equal_8hpp_source.html">operator_not_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afcc9ba66175e049c6020fe363231d694"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator* </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__multiplication_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2core_2operator__multiplication_8hpp_source.html">operator_multiplication.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad613e6b4387544fecd361475490d9dd3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator* </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__multiplication_8hpp_source.html#l00022">22</a> of file <a class="el" href="fwd_2core_2operator__multiplication_8hpp_source.html">operator_multiplication.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5ee4488ea32a5bf3cce50117e14b2d07"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator* </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__multiplication_8hpp_source.html#l00029">29</a> of file <a class="el" href="fwd_2core_2operator__multiplication_8hpp_source.html">operator_multiplication.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a436203414c825bb8765ea82786313909"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator* </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Multiplication operator for two variables (C++). </p>
+<p>The partial derivatives are</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} (x * y) = y$" src="form_230.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} (x * y) = x$" src="form_231.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator*}(x, y) = \begin{cases} xy &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_232.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{operator*}(x, y)}{\partial x} = \begin{cases} y &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_233.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{operator*}(x, y)}{\partial y} = \begin{cases} x &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_234.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Variable result of multiplying operands. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__multiplication_8hpp_source.html#l00083">83</a> of file <a class="el" href="rev_2core_2operator__multiplication_8hpp_source.html">operator_multiplication.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae63dc18994ab79b22ff3f6a37fe784db"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator* </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Multiplication operator for a variable and a scalar (C++). </p>
+<p>The partial derivative for the variable is</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} (x * c) = c$" src="form_235.png"/>, and</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Scalar operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Variable result of multiplying operands. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__multiplication_8hpp_source.html#l00098">98</a> of file <a class="el" href="rev_2core_2operator__multiplication_8hpp_source.html">operator_multiplication.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa6de4291925b8d2f8a7060617e276c5e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator* </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Multiplication operator for a scalar and a variable (C++). </p>
+<p>The partial derivative for the variable is</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} (c * y) = c$" src="form_236.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Scalar operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Variable operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Variable result of multiplying the operands. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__multiplication_8hpp_source.html#l00115">115</a> of file <a class="el" href="rev_2core_2operator__multiplication_8hpp_source.html">operator_multiplication.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a51a0614c9ba674f03e3d1b7586e99d27"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator+ </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__addition_8hpp_source.html#l00013">13</a> of file <a class="el" href="fwd_2core_2operator__addition_8hpp_source.html">operator_addition.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3fbabb3f7eeef5d7605eefad9c2fbef7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator+ </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__addition_8hpp_source.html#l00020">20</a> of file <a class="el" href="fwd_2core_2operator__addition_8hpp_source.html">operator_addition.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adbceec5a6822fd0c58529d6f64208f3b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator+ </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__addition_8hpp_source.html#l00027">27</a> of file <a class="el" href="fwd_2core_2operator__addition_8hpp_source.html">operator_addition.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a28f17a8253887d3b573fd59c5a4c6769"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator+ </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Unary plus operator for variables (C++). </p>
+<p>The function simply returns its input, because</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} +x = \frac{d}{dx} x = 1$" src="form_249.png"/>.</p>
+<p>The effect of unary plus on a built-in C++ scalar type is integer promotion. Because variables are all double-precision floating point already, promotion is not necessary.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator+}(x) = \begin{cases} x &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_250.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{operator+}(x)}{\partial x} = \begin{cases} 1 &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_251.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Argument variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The input reference. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__unary__plus_8hpp_source.html#l00043">43</a> of file <a class="el" href="operator__unary__plus_8hpp_source.html">operator_unary_plus.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afcb4c7bced043de79d94676dac3cfc4b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator+ </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Addition operator for variables (C++). </p>
+<p>The partial derivatives are defined by</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} (x+y) = 1$" src="form_211.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} (x+y) = 1$" src="form_212.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator+}(x, y) = \begin{cases} x+y &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_213.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{operator+}(x, y)}{\partial x} = \begin{cases} 1 &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_214.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{operator+}(x, y)}{\partial y} = \begin{cases} 1 &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_215.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Variable result of adding two variables. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__addition_8hpp_source.html#l00084">84</a> of file <a class="el" href="rev_2core_2operator__addition_8hpp_source.html">operator_addition.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab7ec1a6c24e3a21e00c42142d582d944"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator+ </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Addition operator for variable and scalar (C++). </p>
+<p>The derivative with respect to the variable is</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} (x + c) = 1$" src="form_216.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second scalar operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of adding variable and scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__addition_8hpp_source.html#l00099">99</a> of file <a class="el" href="rev_2core_2operator__addition_8hpp_source.html">operator_addition.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abe2a79efe1e8415fb532a27b26406798"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator+ </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Addition operator for scalar and variable (C++). </p>
+<p>The derivative with respect to the variable is</p>
+<p><img class="formulaInl" alt="$\frac{d}{dy} (c + y) = 1$" src="form_217.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First scalar operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of adding variable and scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__addition_8hpp_source.html#l00116">116</a> of file <a class="el" href="rev_2core_2operator__addition_8hpp_source.html">operator_addition.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aab33c64042765d924f07e7490788e6d4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&amp; stan::math::operator++ </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Prefix increment operator for variables (C++). </p>
+<p>Following C++, (++a) is defined to behave exactly as (a = a + 1.0) does, but is faster and uses less memory. In particular, the result is an assignable lvalue.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable to increment. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Reference the result of incrementing this input variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__unary__increment_8hpp_source.html#l00036">36</a> of file <a class="el" href="operator__unary__increment_8hpp_source.html">operator_unary_increment.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3597f71f364d94814268d4911f111674"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator++ </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname">&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Postfix increment operator for variables (C++). </p>
+<p>Following C++, the expression <code>(a++)</code> is defined to behave like the sequence of operations</p>
+<p><code>var temp = a; a = a + 1.0; return temp;</code></p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable to increment. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Input variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__unary__increment_8hpp_source.html#l00052">52</a> of file <a class="el" href="operator__unary__increment_8hpp_source.html">operator_unary_increment.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aedeee50b418200d06eb867d0ef3b3125"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator- </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="operator__unary__minus_8hpp_source.html#l00014">14</a> of file <a class="el" href="operator__unary__minus_8hpp_source.html">operator_unary_minus.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6a200e70e0f2b422b6623cf4b19d04da"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator- </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__subtraction_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2core_2operator__subtraction_8hpp_source.html">operator_subtraction.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a87d89d23df91de283beda449d480b437"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator- </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__subtraction_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2core_2operator__subtraction_8hpp_source.html">operator_subtraction.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd8dea434972aa3008e352349069e206"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator- </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__subtraction_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2core_2operator__subtraction_8hpp_source.html">operator_subtraction.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2f8564365599db5cea0b51b635ea482a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator- </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Unary negation operator for variables (C++). </p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} -x = -1$" src="form_245.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator-}(x) = \begin{cases} -x &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_246.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{operator-}(x)}{\partial x} = \begin{cases} -1 &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_247.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Argument variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Negation of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__unary__negative_8hpp_source.html#l00051">51</a> of file <a class="el" href="operator__unary__negative_8hpp_source.html">operator_unary_negative.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a971b741313ecc65a639076acc188614a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator- </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Subtraction operator for variables (C++). </p>
+<p>The partial derivatives are defined by</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} (x-y) = 1$" src="form_238.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} (x-y) = -1$" src="form_239.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator-}(x, y) = \begin{cases} x-y &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_240.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{operator-}(x, y)}{\partial x} = \begin{cases} 1 &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_241.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{operator-}(x, y)}{\partial y} = \begin{cases} -1 &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_242.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Variable result of subtracting the second variable from the first. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__subtraction_8hpp_source.html#l00099">99</a> of file <a class="el" href="rev_2core_2operator__subtraction_8hpp_source.html">operator_subtraction.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abec4b5043616cea0be01ee41fd899198"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator- </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Subtraction operator for variable and scalar (C++). </p>
+<p>The derivative for the variable is</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} (x-c) = 1$" src="form_243.png"/>, and</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second scalar operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of subtracting the scalar from the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__subtraction_8hpp_source.html#l00114">114</a> of file <a class="el" href="rev_2core_2operator__subtraction_8hpp_source.html">operator_subtraction.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9586c6690c5088deedcbac089158960a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator- </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Subtraction operator for scalar and variable (C++). </p>
+<p>The derivative for the variable is</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} (c-y) = -1$" src="form_244.png"/>, and</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First scalar operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of sutracting a variable from a scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__subtraction_8hpp_source.html#l00131">131</a> of file <a class="el" href="rev_2core_2operator__subtraction_8hpp_source.html">operator_subtraction.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a10e496e6e1fd02a0378a729ada4f39df"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a>&amp; stan::math::operator-- </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Prefix decrement operator for variables (C++). </p>
+<p>Following C++, <code>(&ndash;a)</code> is defined to behave exactly as</p>
+<p><code>a = a - 1.0)</code></p>
+<p>does, but is faster and uses less memory. In particular, the result is an assignable lvalue.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable to decrement. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Reference the result of decrementing this input variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__unary__decrement_8hpp_source.html#l00040">40</a> of file <a class="el" href="operator__unary__decrement_8hpp_source.html">operator_unary_decrement.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abcadc96f506e9f1408647cdce4d09092"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator-- </td>
+          <td>(</td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname">&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Postfix decrement operator for variables (C++). </p>
+<p>Following C++, the expression <code>(a&ndash;)</code> is defined to behave like the sequence of operations</p>
+<p><code>var temp = a; a = a - 1.0; return temp;</code></p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable to decrement. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Input variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="operator__unary__decrement_8hpp_source.html#l00056">56</a> of file <a class="el" href="operator__unary__decrement_8hpp_source.html">operator_unary_decrement.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1eba6f623c3c2c0714e2eabbae90290f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator/ </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__division_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2core_2operator__division_8hpp_source.html">operator_division.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a02aad69947e40bd42636143eadd38621"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator/ </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__division_8hpp_source.html#l00022">22</a> of file <a class="el" href="fwd_2core_2operator__division_8hpp_source.html">operator_division.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aef4e969693a718ffefbe5d45916ddef3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::operator/ </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__division_8hpp_source.html#l00030">30</a> of file <a class="el" href="fwd_2core_2operator__division_8hpp_source.html">operator_division.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2cbbe36fe5dcdd2996fe40afdd874983"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::operator/ </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html#l00051">51</a> of file <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html">divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a48b310fd13ba04c615b74671f262b25d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::operator/ </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html#l00057">57</a> of file <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html">divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7174185d7dd2b83e370d535d35870c4a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::operator/ </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html#l00063">63</a> of file <a class="el" href="fwd_2mat_2fun_2divide_8hpp_source.html">divide.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac15f9adeb9753deea83b30e18aaf8e98"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator/ </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Division operator for two variables (C++). </p>
+<p>The partial derivatives for the variables are</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} (x/y) = 1/y$" src="form_218.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} (x/y) = -x / y^2$" src="form_219.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator/}(x, y) = \begin{cases} \frac{x}{y} &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_220.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{operator/}(x, y)}{\partial x} = \begin{cases} \frac{1}{y} &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_221.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{operator/}(x, y)}{\partial y} = \begin{cases} -\frac{x}{y^2} &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_222.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Variable result of dividing the first variable by the second. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__division_8hpp_source.html#l00096">96</a> of file <a class="el" href="rev_2core_2operator__division_8hpp_source.html">operator_division.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa12be933cc2e01e203a6ffa09508d319"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator/ </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Division operator for dividing a variable by a scalar (C++). </p>
+<p>The derivative with respect to the variable is</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} (x/c) = 1/c$" src="form_223.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Scalar operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Variable result of dividing the variable by the scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__division_8hpp_source.html#l00111">111</a> of file <a class="el" href="rev_2core_2operator__division_8hpp_source.html">operator_division.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a81ad2fbfb99eb063eda9ef0b466b2014"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::operator/ </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Division operator for dividing a scalar by a variable (C++). </p>
+<p>The derivative with respect to the variable is</p>
+<p><img class="formulaInl" alt="$\frac{d}{d y} (c/y) = -c / y^2$" src="form_224.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Scalar operand. </td></tr>
+    <tr><td class="paramname">b</td><td>Variable operand. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Variable result of dividing the scalar by the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__division_8hpp_source.html#l00128">128</a> of file <a class="el" href="rev_2core_2operator__division_8hpp_source.html">operator_division.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af2c489941c560664036ee190c9028360"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt; </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__less__than_8hpp_source.html#l00012">12</a> of file <a class="el" href="fwd_2core_2operator__less__than_8hpp_source.html">operator_less_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0194df340cc3564835ff04086374cf97"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt; </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__less__than_8hpp_source.html#l00018">18</a> of file <a class="el" href="fwd_2core_2operator__less__than_8hpp_source.html">operator_less_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a50b0c7ff4961eb7333aa81f685da55f4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt; </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__less__than_8hpp_source.html#l00024">24</a> of file <a class="el" href="fwd_2core_2operator__less__than_8hpp_source.html">operator_less_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afe39e7c1b0831663418188ab23b98965"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt; </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Less than operator comparing variables' values (C++). </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator\textless}(x, y) = \begin{cases} 0 &amp; \mbox{if } x \geq y \\ 1 &amp; \mbox{if } x < y \\[6pt] 0 &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_228.png"/>
+</p>
+ <dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if first variable's value is less than second's. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__less__than_8hpp_source.html#l00024">24</a> of file <a class="el" href="rev_2core_2operator__less__than_8hpp_source.html">operator_less_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a021f473185983f63d23ee362605249d8"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt; </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Less than operator comparing variable's value and a double (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if first variable's value is less than second value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__less__than_8hpp_source.html#l00036">36</a> of file <a class="el" href="rev_2core_2operator__less__than_8hpp_source.html">operator_less_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aec5a959d8186caa585d5922a4facf649"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt; </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Less than operator comparing a double and variable's value (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First value. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if first value is less than second variable's value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__less__than_8hpp_source.html#l00048">48</a> of file <a class="el" href="rev_2core_2operator__less__than_8hpp_source.html">operator_less_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a450ef8aaef08c3137f70a087ae3905c6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt;= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__less__than__or__equal_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2core_2operator__less__than__or__equal_8hpp_source.html">operator_less_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab95d660226997cbba13176cec459adaf"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt;= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__less__than__or__equal_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2core_2operator__less__than__or__equal_8hpp_source.html">operator_less_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aee09427479a707c4e715677d5036307b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt;= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Less than or equal operator comparing two variables' values (C++). </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator\textless=}(x, y) = \begin{cases} 0 &amp; \mbox{if } x > y\\ 1 &amp; \mbox{if } x \leq y \\[6pt] 0 &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_229.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if first variable's value is less than or equal to the second's. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__less__than__or__equal_8hpp_source.html#l00026">26</a> of file <a class="el" href="rev_2core_2operator__less__than__or__equal_8hpp_source.html">operator_less_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aca5de0aa5a40e981ece663f96ad41997"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt;= </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__less__than__or__equal_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2core_2operator__less__than__or__equal_8hpp_source.html">operator_less_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1f46c552a80c056955c460a1796d724d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt;= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Less than or equal operator comparing a variable's value and a scalar (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if first variable's value is less than or equal to the second value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__less__than__or__equal_8hpp_source.html#l00039">39</a> of file <a class="el" href="rev_2core_2operator__less__than__or__equal_8hpp_source.html">operator_less_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a79e6962678ac8407d6d004c48988c1a2"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&lt;= </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Less than or equal operator comparing a double and variable's value (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First value. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if first value is less than or equal to the second variable's value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__less__than__or__equal_8hpp_source.html#l00052">52</a> of file <a class="el" href="rev_2core_2operator__less__than__or__equal_8hpp_source.html">operator_less_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a431129b4a75d77ab60f6cd749bef5a11"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator== </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__equal_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2core_2operator__equal_8hpp_source.html">operator_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a15161ab182b02d135f79a13d68c7318d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator== </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__equal_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2core_2operator__equal_8hpp_source.html">operator_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a62e8c00dc01b2df161d0d242c124b046"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator== </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Equality operator comparing two variables' values (C++). </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator==}(x, y) = \begin{cases} 0 &amp; \mbox{if } x \neq y\\ 1 &amp; \mbox{if } x = y \\[6pt] 0 &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_225.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if the first variable's value is the same as the second's. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__equal_8hpp_source.html#l00026">26</a> of file <a class="el" href="rev_2core_2operator__equal_8hpp_source.html">operator_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4930059b979a995acd759a0746bfc201"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator== </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__equal_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2core_2operator__equal_8hpp_source.html">operator_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad239b56697788a42a944361e26b56e56"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator== </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Equality operator comparing a variable's value and a double (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if the first variable's value is the same as the second value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__equal_8hpp_source.html#l00039">39</a> of file <a class="el" href="rev_2core_2operator__equal_8hpp_source.html">operator_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="add97c0c3a895203b8ab3205aca59d088"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator== </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Equality operator comparing a scalar and a variable's value (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First scalar. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if the variable's value is equal to the scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__equal_8hpp_source.html#l00051">51</a> of file <a class="el" href="rev_2core_2operator__equal_8hpp_source.html">operator_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a17fefa51b18df1adec77e49f4e792fbc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt; </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__greater__than_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2core_2operator__greater__than_8hpp_source.html">operator_greater_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9c850c94b22aab8ffd895bdf8faebded"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt; </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__greater__than_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2core_2operator__greater__than_8hpp_source.html">operator_greater_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a465afbe6fb2692b02b60d9760e5cbda9"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt; </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Greater than operator comparing variables' values (C++). </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator\textgreater}(x, y) = \begin{cases} 0 &amp; \mbox{if } x \leq y\\ 1 &amp; \mbox{if } x > y \\[6pt] 0 &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_226.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if first variable's value is greater than second's. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__greater__than_8hpp_source.html#l00025">25</a> of file <a class="el" href="rev_2core_2operator__greater__than_8hpp_source.html">operator_greater_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aba7b92bb244d32edb94b17c8039ae826"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt; </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__greater__than_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2core_2operator__greater__than_8hpp_source.html">operator_greater_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a361d2b2ac2c39919dc71183312855c92"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt; </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Greater than operator comparing variable's value and double (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if first variable's value is greater than second value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__greater__than_8hpp_source.html#l00037">37</a> of file <a class="el" href="rev_2core_2operator__greater__than_8hpp_source.html">operator_greater_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34b9438d0ef1f58b41a228a1154308aa"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt; </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Greater than operator comparing a double and a variable's value (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First value. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if first value is greater than second variable's value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__greater__than_8hpp_source.html#l00049">49</a> of file <a class="el" href="rev_2core_2operator__greater__than_8hpp_source.html">operator_greater_than.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5dee5c21281cc75cad8ebf9f6c43b98f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt;= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__greater__than__or__equal_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2core_2operator__greater__than__or__equal_8hpp_source.html">operator_greater_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac2097caea2b790905ee2948ef72727df"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt;= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__greater__than__or__equal_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2core_2operator__greater__than__or__equal_8hpp_source.html">operator_greater_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a938fb84cef113596828ad131e513fa1e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt;= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Greater than or equal operator comparing two variables' values (C++). </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{operator\textgreater=}(x, y) = \begin{cases} 0 &amp; \mbox{if } x < y\\ 1 &amp; \mbox{if } x \geq y \\[6pt] 0 &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_227.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if first variable's value is greater than or equal to the second's. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__greater__than__or__equal_8hpp_source.html#l00027">27</a> of file <a class="el" href="rev_2core_2operator__greater__than__or__equal_8hpp_source.html">operator_greater_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a813edaa4311e1a4c206952f75a85eba8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt;= </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2operator__greater__than__or__equal_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2core_2operator__greater__than__or__equal_8hpp_source.html">operator_greater_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a055bb2d4f3560761f3383b0f499e7fe7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt;= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Greater than or equal operator comparing variable's value and double (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First variable. </td></tr>
+    <tr><td class="paramname">b</td><td>Second value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if first variable's value is greater than or equal to second value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__greater__than__or__equal_8hpp_source.html#l00040">40</a> of file <a class="el" href="rev_2core_2operator__greater__than__or__equal_8hpp_source.html">operator_greater_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4492a18f751e82a980740f7beac0e025"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">bool stan::math::operator&gt;= </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Greater than or equal operator comparing double and variable's value (C++). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>First value. </td></tr>
+    <tr><td class="paramname">b</td><td>Second variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>True if the first value is greater than or equal to the second variable's value. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2core_2operator__greater__than__or__equal_8hpp_source.html#l00053">53</a> of file <a class="el" href="rev_2core_2operator__greater__than__or__equal_8hpp_source.html">operator_greater_than_or_equal.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5062f9b21b2fb755ad3189fe236bed93"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::ordered_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return an increasing ordered vector derived from the specified free vector. </p>
+<p>The returned constrained vector will have the same dimensionality as the specified free vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free vector of scalars. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Positive, increasing ordered vector. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ordered__constrain_8hpp_source.html#l00023">23</a> of file <a class="el" href="ordered__constrain_8hpp_source.html">ordered_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae5638796e15590c237b7eaece1531631"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::ordered_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a positive valued, increasing ordered vector derived from the specified free vector and increment the specified log probability reference with the log absolute Jacobian determinant of the transform. </p>
+<p>The returned constrained vector will have the same dimensionality as the specified free vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free vector of scalars. </td></tr>
+    <tr><td class="paramname">lp</td><td>Log probability reference. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Positive, increasing ordered vector. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ordered__constrain_8hpp_source.html#l00056">56</a> of file <a class="el" href="ordered__constrain_8hpp_source.html">ordered_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a679b3a9baaf02aeee0c15d763efa06b0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::ordered_free </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the vector of unconstrained scalars that transform to the specified positive ordered vector. </p>
+<p>This function inverts the constraining operation defined in <code>ordered_constrain(Matrix)</code>,</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Vector of positive, ordered scalars. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Free vector that transforms into the input vector. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if y is not a vector of positive, ordered scalars. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ordered__free_8hpp_source.html#l00026">26</a> of file <a class="el" href="ordered__free_8hpp_source.html">ordered_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aae845ae3d07989bc9976a15f52caa997"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_lambda , typename T_cut &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_lambda, T_cut&gt;::type stan::math::ordered_logistic_log </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_lambda &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_cut, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Returns the (natural) log probability of the specified integer outcome given the continuous location and specified cutpoints in an ordered logistic model. </p>
+<p>Typically the continous location will be the dot product of a vector of regression coefficients and a vector of predictors for the outcome.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">propto</td><td>True if calculating up to a proportion. </td></tr>
+    <tr><td class="paramname">T_loc</td><td>Location type. </td></tr>
+    <tr><td class="paramname">T_cut</td><td>Cut-point type. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Outcome. </td></tr>
+    <tr><td class="paramname">lambda</td><td>Location. </td></tr>
+    <tr><td class="paramname">c</td><td>Positive increasing vector of cutpoints. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Log probability of outcome given location and cutpoints.</dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the outcome is not between 1 and the number of cutpoints plus 2; if the cutpoint vector is empty; if the cutpoint vector contains a non-positive, non-finite value; or if the cutpoint vector is not sorted in ascending order. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ordered__logistic__log_8hpp_source.html#l00061">61</a> of file <a class="el" href="ordered__logistic__log_8hpp_source.html">ordered_logistic_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5623d34d128b956b6dfb2031150c8c87"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_lambda , typename T_cut &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_lambda, T_cut&gt;::type stan::math::ordered_logistic_log </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_lambda &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_cut, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="ordered__logistic__log_8hpp_source.html#l00107">107</a> of file <a class="el" href="ordered__logistic__log_8hpp_source.html">ordered_logistic_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a432a3d83d286fe609fc79c6ef4f8ea74"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::ordered_logistic_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>eta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="ordered__logistic__rng_8hpp_source.html#l00024">24</a> of file <a class="el" href="ordered__logistic__rng_8hpp_source.html">ordered_logistic_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34583d3983ee4d61d09004ce3e278250"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::out_of_range </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>max</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const int&#160;</td>
+          <td class="paramname"><em>index</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg1</em> = <code>&quot;&quot;</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>msg2</em> = <code>&quot;&quot;</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Throw an out_of_range exception with a consistently formatted message. </p>
+<p>This is an abstraction for all Stan functions to use when throwing out of range. This will allow us to change the behavior for all functions at once.</p>
+<p>The message is: "&lt;function&gt;: index &lt;index&gt; out of range; expecting index to be between " "1 and &lt;max&gt;&lt;msg1&gt;&lt;msg2&gt;"</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">function</td><td>Name of the function </td></tr>
+    <tr><td class="paramname">max</td><td>Max </td></tr>
+    <tr><td class="paramname">index</td><td>Index </td></tr>
+    <tr><td class="paramname">msg1</td><td>Message to print. Default is "". </td></tr>
+    <tr><td class="paramname">msg2</td><td>Message to print. Default is "". </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="out__of__range_8hpp_source.html#l00030">30</a> of file <a class="el" href="out__of__range_8hpp_source.html">out_of_range.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9b09a69d6aeee461a009b6355889e9e4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::owens_t </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2owens__t_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2owens__t_8hpp_source.html">owens_t.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a69de529b5013ba833af1ea6eff199194"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::owens_t </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2owens__t_8hpp_source.html#l00034">34</a> of file <a class="el" href="fwd_2scal_2fun_2owens__t_8hpp_source.html">owens_t.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a316ab3b95493d045d77de4f8b96ed56a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::owens_t </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2owens__t_8hpp_source.html#l00048">48</a> of file <a class="el" href="fwd_2scal_2fun_2owens__t_8hpp_source.html">owens_t.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af099f2a72adf07f89f5f27f405d7afab"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::owens_t </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>h</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>a</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The Owen's T function of h and a. </p>
+<p>Used to compute the cumulative density function for the skew normal distribution.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{owens\_t}(h, a) = \begin{cases} \mbox{owens\_t}(h, a) &amp; \mbox{if } -\infty\leq h, a \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } h = \textrm{NaN or } a = \textrm{NaN} \end{cases} \]" src="form_160.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{owens\_t}(h, a)}{\partial h} = \begin{cases} \frac{\partial\, \mbox{owens\_t}(h, a)}{\partial h} &amp; \mbox{if } -\infty\leq h, a\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } h = \textrm{NaN or } a = \textrm{NaN} \end{cases} \]" src="form_161.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{owens\_t}(h, a)}{\partial a} = \begin{cases} \frac{\partial\, \mbox{owens\_t}(h, a)}{\partial a} &amp; \mbox{if } -\infty\leq h, a\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } h = \textrm{NaN or } a = \textrm{NaN} \end{cases} \]" src="form_162.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{owens\_t}(h, a) = \frac{1}{2\pi} \int_0^a \frac{\exp(-\frac{1}{2}h^2(1+x^2))}{1+x^2}dx \]" src="form_163.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \mbox{owens\_t}(h, a)}{\partial h} = -\frac{1}{2\sqrt{2\pi}} \operatorname{erf}\left(\frac{ha}{\sqrt{2}}\right) \exp\left(-\frac{h^2}{2}\right) \]" src="form_164.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \mbox{owens\_t}(h, a)}{\partial a} = \frac{\exp\left(-\frac{1}{2}h^2(1+a^2)\right)}{2\pi (1+a^2)} \]" src="form_165.png"/>
+</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Type of first argument. </td></tr>
+    <tr><td class="paramname">T2</td><td>Type of second argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">h</td><td>First argument </td></tr>
+    <tr><td class="paramname">a</td><td>Second argument </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The Owen's T function. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2owens__t_8hpp_source.html#l00062">62</a> of file <a class="el" href="prim_2scal_2fun_2owens__t_8hpp_source.html">owens_t.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3a3be132b9586de8773f1489ad485e0a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::owens_t </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>h</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The Owen's T function of h and a. </p>
+<p>Used to compute the cumulative density function for the skew normal distribution.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">h</td><td>var parameter. </td></tr>
+    <tr><td class="paramname">a</td><td>var parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The Owen's T function. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2owens__t_8hpp_source.html#l00071">71</a> of file <a class="el" href="rev_2scal_2fun_2owens__t_8hpp_source.html">owens_t.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa226754d101430c9bdf91ece0a9eb1d7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::owens_t </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>h</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>a</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The Owen's T function of h and a. </p>
+<p>Used to compute the cumulative density function for the skew normal distribution.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">h</td><td>var parameter. </td></tr>
+    <tr><td class="paramname">a</td><td>double parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The Owen's T function. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2owens__t_8hpp_source.html#l00085">85</a> of file <a class="el" href="rev_2scal_2fun_2owens__t_8hpp_source.html">owens_t.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1a8dab8811eeb8705651daeefc449816"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::owens_t </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>h</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The Owen's T function of h and a. </p>
+<p>Used to compute the cumulative density function for the skew normal distribution.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">h</td><td>double parameter. </td></tr>
+    <tr><td class="paramname">a</td><td>var parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The Owen's T function. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2owens__t_8hpp_source.html#l00099">99</a> of file <a class="el" href="rev_2scal_2fun_2owens__t_8hpp_source.html">owens_t.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae265a3d80fc60a58c6642e3cb32e5a3e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale, T_shape&gt;::type stan::math::pareto_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>y_min</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__ccdf__log_8hpp_source.html#l00025">25</a> of file <a class="el" href="pareto__ccdf__log_8hpp_source.html">pareto_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a04334b6b9aefbc902c156c6ebabd1b7f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale, T_shape&gt;::type stan::math::pareto_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>y_min</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__cdf_8hpp_source.html#l00026">26</a> of file <a class="el" href="pareto__cdf_8hpp_source.html">pareto_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a32b395deb308bc16b82587a97bfb1eba"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale, T_shape&gt;::type stan::math::pareto_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>y_min</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__cdf__log_8hpp_source.html#l00025">25</a> of file <a class="el" href="pareto__cdf__log_8hpp_source.html">pareto_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4eefb96c196d0c61694de1fda5d9a8c6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale, T_shape&gt;::type stan::math::pareto_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>y_min</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__log_8hpp_source.html#l00029">29</a> of file <a class="el" href="pareto__log_8hpp_source.html">pareto_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3f851b988a9325dc6ea8398d45ff1601"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale , typename T_shape &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale, T_shape&gt;::type stan::math::pareto_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>y_min</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__log_8hpp_source.html#l00132">132</a> of file <a class="el" href="pareto__log_8hpp_source.html">pareto_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a624fd25c2bd925d2b96971c70b695245"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::pareto_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>y_min</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__rng_8hpp_source.html#l00021">21</a> of file <a class="el" href="pareto__rng_8hpp_source.html">pareto_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab4f7adad4637fb745bceb3be2db2c6d2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::pareto_type_2_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__type__2__ccdf__log_8hpp_source.html#l00026">26</a> of file <a class="el" href="pareto__type__2__ccdf__log_8hpp_source.html">pareto_type_2_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6aa9090877913c41608ec9edc7644718"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::pareto_type_2_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__type__2__cdf_8hpp_source.html#l00027">27</a> of file <a class="el" href="pareto__type__2__cdf_8hpp_source.html">pareto_type_2_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acc69970c0086687e5c19c7c3d4fe5108"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::pareto_type_2_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__type__2__cdf__log_8hpp_source.html#l00027">27</a> of file <a class="el" href="pareto__type__2__cdf__log_8hpp_source.html">pareto_type_2_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a078e211e38ac272092603cdf728f3f02"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::pareto_type_2_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__type__2__log_8hpp_source.html#l00030">30</a> of file <a class="el" href="pareto__type__2__log_8hpp_source.html">pareto_type_2_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5bd3253943ad32c19d36887e748a4aa6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::pareto_type_2_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__type__2__log_8hpp_source.html#l00149">149</a> of file <a class="el" href="pareto__type__2__log_8hpp_source.html">pareto_type_2_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af55974320ebae90f0e36341934d8a57b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::pareto_type_2_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>lambda</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="pareto__type__2__rng_8hpp_source.html#l00022">22</a> of file <a class="el" href="pareto__type__2__rng_8hpp_source.html">pareto_type_2_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af75dae6137f91377c351b2f648b1c18e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::partial_derivative </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>fx</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>dfx_dxn</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the partial derivative of the specified multiivariate function at the specified argument. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Argument type </td></tr>
+    <tr><td class="paramname">F</td><td>Function type </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir"></td><td class="paramname">f</td><td>Function </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Argument vector </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">n</td><td>Index of argument with which to take derivative </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">fx</td><td>Value of function applied to argument </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">dfx_dxn</td><td>Value of partial derivative </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="partial__derivative_8hpp_source.html#l00027">27</a> of file <a class="el" href="partial__derivative_8hpp_source.html">partial_derivative.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac73a2c7f20161172ffee17c7c880019f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::Phi </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2_phi_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2_phi_8hpp_source.html">Phi.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac85644bbd92359d699f374adea62c643"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::Phi </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The unit normal cumulative distribution function. </p>
+<p>The return value for a specified input is the probability that a random unit normal variate is less than or equal to the specified value, defined by</p>
+<p><img class="formulaInl" alt="$\Phi(x) = \int_{-\infty}^x \mbox{\sf Norm}(x|0, 1) \ dx$" src="form_166.png"/></p>
+<p>This function can be used to implement the inverse link function for probit regression.</p>
+<p>Phi will underflow to 0 below -37.5 and overflow to 1 above 8</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Probability random sample is less than or equal to argument. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2_phi_8hpp_source.html#l00031">31</a> of file <a class="el" href="prim_2scal_2fun_2_phi_8hpp_source.html">Phi.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad88a365e721ffe6c1da4115e378bebf4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::Phi </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The unit normal cumulative density function for variables (stan). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#ac73a2c7f20161172ffee17c7c880019f">stan::math::Phi()</a> for the double-based version.</p>
+<p>The derivative is the unit normal density function,</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \Phi(x) = \mbox{\sf Norm}(x|0, 1) = \frac{1}{\sqrt{2\pi}} \exp(-\frac{1}{2} x^2)$" src="form_403.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{Phi}(x) = \begin{cases} 0 &amp; \mbox{if } x < -37.5 \\ \Phi(x) &amp; \mbox{if } -37.5 \leq x \leq 8.25 \\ 1 &amp; \mbox{if } x > 8.25 \\[6pt] \textrm{error} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_404.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{Phi}(x)}{\partial x} = \begin{cases} 0 &amp; \mbox{if } x < -27.5 \\ \frac{\partial\, \Phi(x)}{\partial x} &amp; \mbox{if } -27.5 \leq x \leq 27.5 \\ 0 &amp; \mbox{if } x > 27.5 \\[6pt] \textrm{error} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_405.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \Phi(x) = \frac{1}{\sqrt{2\pi}} \int_{0}^{x} e^{-t^2/2} dt \]" src="form_406.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \Phi(x)}{\partial x} = \frac{e^{-x^2/2}}{\sqrt{2\pi}} \]" src="form_407.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The unit normal cdf evaluated at the specified argument. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2_phi_8hpp_source.html#l00066">66</a> of file <a class="el" href="rev_2scal_2fun_2_phi_8hpp_source.html">Phi.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6cf4bf2074175fd7bcde43f9f94e4d16"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::Phi_approx </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Approximation of the unit normal CDF. </p>
+<p><a href="http://www.jiem.org/index.php/jiem/article/download/60/27">http://www.jiem.org/index.php/jiem/article/download/60/27</a></p>
+<p>This function can be used to implement the inverse link function for probit regression.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Probability random sample is less than or equal to argument. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2_phi__approx_8hpp_source.html#l00023">23</a> of file <a class="el" href="prim_2scal_2fun_2_phi__approx_8hpp_source.html">Phi_approx.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afa0a2a4530d320ca7945a09ae88783f3"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::Phi_approx </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Approximation of the unit normal CDF for variables (stan). </p>
+<p><a href="http://www.jiem.org/index.php/jiem/article/download/60/27">http://www.jiem.org/index.php/jiem/article/download/60/27</a></p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{Phi\_approx}(x) = \begin{cases} \Phi_{\mbox{\footnotesize approx}}(x) &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_408.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{Phi\_approx}(x)}{\partial x} = \begin{cases} \frac{\partial\, \Phi_{\mbox{\footnotesize approx}}(x)}{\partial x} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_409.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \Phi_{\mbox{\footnotesize approx}}(x) = \mbox{logit}^{-1}(0.07056 \, x^3 + 1.5976 \, x) \]" src="form_410.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \Phi_{\mbox{\footnotesize approx}}(x)}{\partial x} = -\Phi_{\mbox{\footnotesize approx}}^2(x) e^{-0.07056x^3 - 1.5976x}(-0.21168x^2-1.5976) \]" src="form_411.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The corresponding unit normal cdf approximation. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2_phi__approx_8hpp_source.html#l00047">47</a> of file <a class="el" href="rev_2scal_2fun_2_phi__approx_8hpp_source.html">Phi_approx.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa2ffd66726e0532160e16e6b48d6f428"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::pi </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of pi. </p>
+<dl class="section return"><dt>Returns</dt><dd>Pi. </dd></dl>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00086">86</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad069a055750c038c054eb7ecabfb53bf"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_rate &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_rate&gt;::type stan::math::poisson_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_rate &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="poisson__ccdf__log_8hpp_source.html#l00027">27</a> of file <a class="el" href="poisson__ccdf__log_8hpp_source.html">poisson_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a84009ffe822acedc6362015fd08107be"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_rate &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_rate&gt;::type stan::math::poisson_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_rate &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="poisson__cdf_8hpp_source.html#l00028">28</a> of file <a class="el" href="poisson__cdf_8hpp_source.html">poisson_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acc9138a37ffe00ff85c6824447e85db1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_rate &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_rate&gt;::type stan::math::poisson_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_rate &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="poisson__cdf__log_8hpp_source.html#l00027">27</a> of file <a class="el" href="poisson__cdf__log_8hpp_source.html">poisson_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae7a95ee36796c1a077510303bb2535c2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_n , typename T_rate &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_rate&gt;::type stan::math::poisson_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_rate &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="poisson__log_8hpp_source.html#l00029">29</a> of file <a class="el" href="poisson__log_8hpp_source.html">poisson_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a202d918359198306069f71f1477a046f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_rate &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_rate&gt;::type stan::math::poisson_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_rate &amp;&#160;</td>
+          <td class="paramname"><em>lambda</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="poisson__log_8hpp_source.html#l00101">101</a> of file <a class="el" href="poisson__log_8hpp_source.html">poisson_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4a06118d9d96bde7ee5d8c28eb08e5ec"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_n , typename T_log_rate &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_log_rate&gt;::type stan::math::poisson_log_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_log_rate &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="poisson__log__log_8hpp_source.html#l00032">32</a> of file <a class="el" href="poisson__log__log_8hpp_source.html">poisson_log_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5d441b4aee12ece4fc2d1b4d8027c7a0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_n , typename T_log_rate &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_log_rate&gt;::type stan::math::poisson_log_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_n &amp;&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_log_rate &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="poisson__log__log_8hpp_source.html#l00112">112</a> of file <a class="el" href="poisson__log__log_8hpp_source.html">poisson_log_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac3cdc8d2997b25f9ed799555ecf37106"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::poisson_log_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="poisson__log__rng_8hpp_source.html#l00023">23</a> of file <a class="el" href="poisson__log__rng_8hpp_source.html">poisson_log_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8f7aaf7ee5cf0eb93778d7f30db23834"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::poisson_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>lambda</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="poisson__rng_8hpp_source.html#l00024">24</a> of file <a class="el" href="poisson__rng_8hpp_source.html">poisson_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6cf6708d0fb577e217e81463282cae71"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::positive_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the positive value for the specified unconstrained input. </p>
+<p>The transform applied is</p>
+<p><img class="formulaInl" alt="$f(x) = \exp(x)$" src="form_167.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Arbitrary input scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Input transformed to be positive. </dd></dl>
+
+<p>Definition at line <a class="el" href="positive__constrain_8hpp_source.html#l00022">22</a> of file <a class="el" href="positive__constrain_8hpp_source.html">positive_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9f9c43fc857272a76bb4030122ac91ed"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::positive_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the positive value for the specified unconstrained input, incrementing the scalar reference with the log absolute Jacobian determinant. </p>
+<p>See <code><a class="el" href="namespacestan_1_1math.html#a6cf6708d0fb577e217e81463282cae71" title="Return the positive value for the specified unconstrained input. ">positive_constrain(T)</a></code> for details of the transform. The log absolute Jacobian determinant is</p>
+<p><img class="formulaInl" alt="$\log | \frac{d}{dx} \mbox{exp}(x) | = \log | \mbox{exp}(x) | = x$" src="form_168.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Arbitrary input scalar. </td></tr>
+    <tr><td class="paramname">lp</td><td>Log probability reference. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Input transformed to be positive. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="positive__constrain_8hpp_source.html#l00044">44</a> of file <a class="el" href="positive__constrain_8hpp_source.html">positive_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6a20798b12abb29d73f7391168f836f9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::positive_free </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the unconstrained value corresponding to the specified positive-constrained value. </p>
+<p>The transform is the inverse of the transform <img class="formulaInl" alt="$f$" src="form_169.png"/> applied by <code><a class="el" href="namespacestan_1_1math.html#a6cf6708d0fb577e217e81463282cae71" title="Return the positive value for the specified unconstrained input. ">positive_constrain(T)</a></code>, namely</p>
+<p><img class="formulaInl" alt="$f^{-1}(x) = \log(x)$" src="form_170.png"/>.</p>
+<p>The input is validated using <code><a class="el" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966" title="Return true if y is positive. ">stan::math::check_positive()</a></code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Input scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Unconstrained value that produces the input when constrained. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if the variable is negative. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="positive__free_8hpp_source.html#l00029">29</a> of file <a class="el" href="positive__free_8hpp_source.html">positive_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34675a70d3df614d88d33ddbdd49b49a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::positive_infinity </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return positive infinity. </p>
+<dl class="section return"><dt>Returns</dt><dd>Positive infinity. </dd></dl>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00123">123</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ada937f012b7d54cebdf8d9414f6fdbad"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::positive_ordered_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return an increasing positive ordered vector derived from the specified free vector. </p>
+<p>The returned constrained vector will have the same dimensionality as the specified free vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free vector of scalars. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Positive, increasing ordered vector. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="positive__ordered__constrain_8hpp_source.html#l00023">23</a> of file <a class="el" href="positive__ordered__constrain_8hpp_source.html">positive_ordered_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7879746a7bed2564ae72c2916658e5a5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::positive_ordered_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a positive valued, increasing positive ordered vector derived from the specified free vector and increment the specified log probability reference with the log absolute Jacobian determinant of the transform. </p>
+<p>The returned constrained vector will have the same dimensionality as the specified free vector.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free vector of scalars. </td></tr>
+    <tr><td class="paramname">lp</td><td>Log probability reference. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Positive, increasing ordered vector. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="positive__ordered__constrain_8hpp_source.html#l00055">55</a> of file <a class="el" href="positive__ordered__constrain_8hpp_source.html">positive_ordered_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af81e69a15e82f86eefba93f8dcd3966e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::positive_ordered_free </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the vector of unconstrained scalars that transform to the specified positive ordered vector. </p>
+<p>This function inverts the constraining operation defined in <code>positive_ordered_constrain(Matrix)</code>,</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Vector of positive, ordered scalars. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Free vector that transforms into the input vector. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if y is not a vector of positive, ordered scalars. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="positive__ordered__free_8hpp_source.html#l00026">26</a> of file <a class="el" href="positive__ordered__free_8hpp_source.html">positive_ordered_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a27caea996a79cd150f26db44fd635684"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::pow </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">18</a> of file <a class="el" href="fwd_2scal_2fun_2pow_8hpp_source.html">pow.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab594b61f84170ba4b4b887f6a911a0d6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::pow </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2pow_8hpp_source.html#l00030">30</a> of file <a class="el" href="fwd_2scal_2fun_2pow_8hpp_source.html">pow.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7b8ae604ced89240175e69281577be04"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::pow </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2pow_8hpp_source.html#l00040">40</a> of file <a class="el" href="fwd_2scal_2fun_2pow_8hpp_source.html">pow.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a32adb49018d9fd61d3c568d1edcdb3c0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::pow </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>base</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>exponent</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the base raised to the power of the exponent (cmath). </p>
+<p>The partial derivatives are</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial x} \mbox{pow}(x, y) = y x^{y-1}$" src="form_412.png"/>, and</p>
+<p><img class="formulaInl" alt="$\frac{\partial}{\partial y} \mbox{pow}(x, y) = x^y \ \log x$" src="form_413.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{pow}(x, y) = \begin{cases} x^y &amp; \mbox{if } -\infty\leq x, y \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_414.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{pow}(x, y)}{\partial x} = \begin{cases} yx^{y-1} &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_415.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{pow}(x, y)}{\partial y} = \begin{cases} x^y\ln x &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } y = \textrm{NaN} \end{cases} \]" src="form_416.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">base</td><td>Base variable. </td></tr>
+    <tr><td class="paramname">exponent</td><td>Exponent variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Base raised to the exponent. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2pow_8hpp_source.html#l00103">103</a> of file <a class="el" href="rev_2scal_2fun_2pow_8hpp_source.html">pow.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aff1b3f97cd1cf4c7391d160f9a3db4f6"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::pow </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>base</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>exponent</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the base variable raised to the power of the exponent scalar (cmath). </p>
+<p>The derivative for the variable is</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \mbox{pow}(x, c) = c x^{c-1}$" src="form_417.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">base</td><td>Base variable. </td></tr>
+    <tr><td class="paramname">exponent</td><td>Exponent scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Base raised to the exponent. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2pow_8hpp_source.html#l00119">119</a> of file <a class="el" href="rev_2scal_2fun_2pow_8hpp_source.html">pow.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a52dafae271ea06210bf3cbe2545ead16"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::pow </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>base</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>exponent</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the base scalar raised to the power of the exponent variable (cmath). </p>
+<p>The derivative for the variable is</p>
+<p><img class="formulaInl" alt="$\frac{d}{d y} \mbox{pow}(c, y) = c^y \log c $" src="form_418.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">base</td><td>Base scalar. </td></tr>
+    <tr><td class="paramname">exponent</td><td>Exponent variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Base raised to the exponent. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2pow_8hpp_source.html#l00141">141</a> of file <a class="el" href="rev_2scal_2fun_2pow_8hpp_source.html">pow.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2ae0c4c9c64db8bb166f67caf352b35f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::precomputed_gradients </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>value</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>operands</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>gradients</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>This function returns a var for an expression that has the specified value, vector of operands, and vector of partial derivatives of value with respect to the operands. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>The value of the resulting dependent variable. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">operands</td><td>operands. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">gradients</td><td>vector of partial derivatives of result with respect to operands. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>An auto-diff variable that uses the precomputed gradients provided. </dd></dl>
+
+<p>Definition at line <a class="el" href="precomputed__gradients_8hpp_source.html#l00098">98</a> of file <a class="el" href="precomputed__gradients_8hpp_source.html">precomputed_gradients.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0ccbe1638f463027973553dec7175dbc"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::primitive_value </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the primitive double value for the specified auto-diff variable. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>input variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>value of input. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2primitive__value_8hpp_source.html#l00017">17</a> of file <a class="el" href="rev_2scal_2fun_2primitive__value_8hpp_source.html">primitive_value.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a24337e3af682981f05d1cc022e675891"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::primitive_value </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the primitive value of the specified forward-mode autodiff variable. </p>
+<p>This function applies recursively to higher-order autodiff types to return a primitive double value.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>scalar type for autodiff variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>input variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>primitive value of input. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2primitive__value_8hpp_source.html#l00022">22</a> of file <a class="el" href="fwd_2scal_2fun_2primitive__value_8hpp_source.html">primitive_value.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af8cbc3a490edf340544fb12df544269e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if&lt;boost::is_arithmetic&lt;T&gt;, T&gt;::type stan::math::primitive_value </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of the specified arithmetic argument unmodified with its own declared type. </p>
+<p>This template function can only be instantiated with arithmetic types as defined by Boost's <code>is_arithmetic</code> trait metaprogram.</p>
+<p>This function differs from <code><a class="el" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b" title="Return the value of the specified variable. ">stan::math::value_of</a></code> in that it does not cast all return types to <code>double</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of arithmetic input. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>input unmodified. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2primitive__value_8hpp_source.html#l00030">30</a> of file <a class="el" href="prim_2scal_2fun_2primitive__value_8hpp_source.html">primitive_value.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0491e419195548cdede51a384547aef2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::disable_if&lt;boost::is_arithmetic&lt;T&gt;, double&gt;::type stan::math::primitive_value </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the primitive value of the specified argument. </p>
+<p>This implementation only applies to non-arithmetic types as defined by Boost's <code>is_arithmetic</code> trait metaprogram.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of non-arithmetic input. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>value of input. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2primitive__value_8hpp_source.html#l00047">47</a> of file <a class="el" href="prim_2scal_2fun_2primitive__value_8hpp_source.html">primitive_value.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa8f00af063b839677434c6a0f92629a3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::print_mat_size </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::ostream &amp;&#160;</td>
+          <td class="paramname"><em>o</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Helper function to return the matrix size as either "dynamic" or "1". </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">n</td><td><a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix size specification. </td></tr>
+    <tr><td class="paramname">o</td><td>Output stream. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>String representing size. </dd></dl>
+
+<p>Definition at line <a class="el" href="assign_8hpp_source.html#l00026">26</a> of file <a class="el" href="assign_8hpp_source.html">assign.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0611cecb5356e187818c1901134c7665"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::print_stack </td>
+          <td>(</td>
+          <td class="paramtype">std::ostream &amp;&#160;</td>
+          <td class="paramname"><em>o</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Prints the auto-dif variable stack. </p>
+<p>This function is used for debugging purposes.</p>
+<p>Only works if all members of stack are vari* as it casts to vari*.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">o</td><td>ostream to modify </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="print__stack_8hpp_source.html#l00020">20</a> of file <a class="el" href="print__stack_8hpp_source.html">print_stack.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7a0b9c35bc619ea5fbac226e985bbc1d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::prob_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a probability value constrained to fall between 0 and 1 (inclusive) for the specified free scalar. </p>
+<p>The transform is the inverse logit,</p>
+<p><img class="formulaInl" alt="$f(x) = \mbox{logit}^{-1}(x) = \frac{1}{1 + \exp(x)}$" src="form_171.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Probability-constrained result of transforming the free scalar. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prob__constrain_8hpp_source.html#l00027">27</a> of file <a class="el" href="prob__constrain_8hpp_source.html">prob_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3b5c8822124337e5d000cfa60046c5fa"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::prob_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a probability value constrained to fall between 0 and 1 (inclusive) for the specified free scalar and increment the specified log probability reference with the log absolute Jacobian determinant of the transform. </p>
+<p>The transform is as defined for <code><a class="el" href="namespacestan_1_1math.html#a7a0b9c35bc619ea5fbac226e985bbc1d" title="Return a probability value constrained to fall between 0 and 1 (inclusive) for the specified free sca...">prob_constrain(T)</a></code>. The log absolute Jacobian determinant is</p>
+<p>The log absolute Jacobian determinant is</p>
+<p><img class="formulaInl" alt="$\log | \frac{d}{dx} \mbox{logit}^{-1}(x) |$" src="form_172.png"/> </p>
+<p><img class="formulaInl" alt="$\log ((\mbox{logit}^{-1}(x)) (1 - \mbox{logit}^{-1}(x))$" src="form_173.png"/> </p>
+<p><img class="formulaInl" alt="$\log (\mbox{logit}^{-1}(x)) + \log (1 - \mbox{logit}^{-1}(x))$" src="form_174.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free scalar. </td></tr>
+    <tr><td class="paramname">lp</td><td>Log probability reference. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Probability-constrained result of transforming the free scalar. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prob__constrain_8hpp_source.html#l00055">55</a> of file <a class="el" href="prob__constrain_8hpp_source.html">prob_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a533afff719fe3e21bf53d2fa53d2fbe3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::prob_free </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the free scalar that when transformed to a probability produces the specified scalar. </p>
+<p>The function that reverses the constraining transform specified in <code><a class="el" href="namespacestan_1_1math.html#a7a0b9c35bc619ea5fbac226e985bbc1d" title="Return a probability value constrained to fall between 0 and 1 (inclusive) for the specified free sca...">prob_constrain(T)</a></code> is the logit function,</p>
+<p><img class="formulaInl" alt="$f^{-1}(y) = \mbox{logit}(y) = \frac{1 - y}{y}$" src="form_175.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Scalar input. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if y is less than 0 or greater than 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prob__free_8hpp_source.html#l00027">27</a> of file <a class="el" href="prob__free_8hpp_source.html">prob_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1649a895ec6e79097d5645a3f8b8a1e6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::prod </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the product of the coefficients of the specified standard vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of coefficients of vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="prod_8hpp_source.html#l00017">17</a> of file <a class="el" href="prod_8hpp_source.html">prod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad7082de8742d87f7a0fa0842207341c9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::prod </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the product of the coefficients of the specified column vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Product of coefficients of vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="prod_8hpp_source.html#l00032">32</a> of file <a class="el" href="prod_8hpp_source.html">prod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a300cf63dd3332cff2161fdc32aec4026"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1common__type.html">common_type</a>&lt;T1, T2&gt;::type stan::math::promote_common </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>u</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promote__common_8hpp_source.html#l00014">14</a> of file <a class="el" href="promote__common_8hpp_source.html">promote_common.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4815c45c3f87ea98453880863e3a0b94"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt;T, S&gt;::type stan::math::promote_scalar </td>
+          <td>(</td>
+          <td class="paramtype">const S &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>This is the top-level function to call to promote the scalar types of an input of type S to type T. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>scalar type of output. </td></tr>
+    <tr><td class="paramname">S</td><td>input type. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>input vector with scalars promoted to type T. </dd></dl>
+
+<p>Definition at line <a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html#l00067">67</a> of file <a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9559f36eb30f7c55b3576d8540b6bad2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::qr_Q </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2qr___q_8hpp_source.html#l00014">14</a> of file <a class="el" href="prim_2mat_2fun_2qr___q_8hpp_source.html">qr_Q.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4badef735ea8b1cbfca31cbe49a534cf"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::qr_Q </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2qr___q_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2mat_2fun_2qr___q_8hpp_source.html">qr_Q.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aebb8132560117eeef1a07ced4b144598"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::qr_R </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2qr___r_8hpp_source.html#l00014">14</a> of file <a class="el" href="prim_2mat_2fun_2qr___r_8hpp_source.html">qr_R.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae2c6e003d4aa779acef714b05a153c1c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::qr_R </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2qr___r_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2mat_2fun_2qr___r_8hpp_source.html">qr_R.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a88f53cb144d0e550d5113e565a91a947"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, int CB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, CB, CB&gt; stan::math::quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Compute B^T A B. </p>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2quad__form_8hpp_source.html#l00021">21</a> of file <a class="el" href="prim_2mat_2fun_2quad__form_8hpp_source.html">quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8166027d80ecdbc607ef3c1c44fd1e8d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, RB, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2quad__form_8hpp_source.html#l00033">33</a> of file <a class="el" href="prim_2mat_2fun_2quad__form_8hpp_source.html">quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae29c95a66e3c89b411b47a9613f7d00c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename TA , int RA, int CA, typename TB , int RB, int CB&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt; boost::is_same&lt;TA, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;TB, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, CB, CB&gt; &gt;::type stan::math::quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; TA, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; TB, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html#l00124">124</a> of file <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html">quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a78760f17a4a1aa70975f3c4abbc1d03d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename TA , int RA, int CA, typename TB , int RB&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt; boost::is_same&lt;TA, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;TB, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt;::type stan::math::quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; TA, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; TB, RB, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html#l00141">141</a> of file <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html">quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a08776bc70d746cd9dfa0f049f1832fdf"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::quad_form_diag </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>mat</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>vec</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="quad__form__diag_8hpp_source.html#l00017">17</a> of file <a class="el" href="quad__form__diag_8hpp_source.html">quad_form_diag.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0e66b8fc7268b26c1f479d762b01f386"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, int CB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, CB, CB&gt; stan::math::quad_form_sym </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2quad__form__sym_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2mat_2fun_2quad__form__sym_8hpp_source.html">quad_form_sym.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4936ab9c3dab8c4194195de5aa398394"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, int CB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, CB, CB&gt; stan::math::quad_form_sym </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2quad__form__sym_8hpp_source.html#l00019">19</a> of file <a class="el" href="prim_2mat_2fun_2quad__form__sym_8hpp_source.html">quad_form_sym.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0e0e772a20247cedc2da98a9c8946c89"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename TA , int RA, int CA, typename TB , int RB, int CB&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt; boost::is_same&lt;TA, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;TB, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, CB, CB&gt; &gt;::type stan::math::quad_form_sym </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; TA, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; TB, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2quad__form__sym_8hpp_source.html#l00025">25</a> of file <a class="el" href="rev_2mat_2fun_2quad__form__sym_8hpp_source.html">quad_form_sym.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3c1c0234ed8a502439ec0036a4a352fe"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::quad_form_sym </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, RB, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2quad__form__sym_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2mat_2fun_2quad__form__sym_8hpp_source.html">quad_form_sym.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8b0b2bfea6c360dcc5739fd908b39d60"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::quad_form_sym </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, RB, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2quad__form__sym_8hpp_source.html#l00034">34</a> of file <a class="el" href="prim_2mat_2fun_2quad__form__sym_8hpp_source.html">quad_form_sym.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8628ce031fccb9fb7239f47b433deb91"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, int CB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, CB, CB&gt; stan::math::quad_form_sym </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2quad__form__sym_8hpp_source.html#l00039">39</a> of file <a class="el" href="fwd_2mat_2fun_2quad__form__sym_8hpp_source.html">quad_form_sym.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8e79db5761062cc2b5eebe9edca4127e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename TA , int RA, int CA, typename TB , int RB&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt; boost::is_same&lt;TA, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;TB, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt;::type stan::math::quad_form_sym </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; TA, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; TB, RB, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2quad__form__sym_8hpp_source.html#l00043">43</a> of file <a class="el" href="rev_2mat_2fun_2quad__form__sym_8hpp_source.html">quad_form_sym.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac02e500c362899803fc0e26058dc0197"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::quad_form_sym </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, RB, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2quad__form__sym_8hpp_source.html#l00053">53</a> of file <a class="el" href="fwd_2mat_2fun_2quad__form__sym_8hpp_source.html">quad_form_sym.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a216dec01fa6146c53b9ec51c5e9dda8d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::rank </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>s</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the number of components of v less than v[s]. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>Input vector. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">s</td><td>Position in vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Number of components of v less than v[s]. </dd></dl>
+
+<p>Definition at line <a class="el" href="rank_8hpp_source.html#l00020">20</a> of file <a class="el" href="rank_8hpp_source.html">rank.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4b444aaebeed885fecdbce67ae69498c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::rank </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>s</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the number of components of v less than v[s]. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements of the vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>Input vector. </td></tr>
+    <tr><td class="paramdir"></td><td class="paramname">s</td><td>Index for input vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Number of components of v less than v[s]. </dd></dl>
+
+<p>Definition at line <a class="el" href="rank_8hpp_source.html#l00042">42</a> of file <a class="el" href="rank_8hpp_source.html">rank.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3ca6e149995234eee4801ea4090b34cd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale&gt;::type stan::math::rayleigh_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rayleigh__ccdf__log_8hpp_source.html#l00027">27</a> of file <a class="el" href="rayleigh__ccdf__log_8hpp_source.html">rayleigh_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abca0bc173ef3459a1eac46296bcd83bc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale&gt;::type stan::math::rayleigh_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rayleigh__cdf_8hpp_source.html#l00028">28</a> of file <a class="el" href="rayleigh__cdf_8hpp_source.html">rayleigh_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae588257225777f6a33cffb2139f8a4d9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale&gt;::type stan::math::rayleigh_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rayleigh__cdf__log_8hpp_source.html#l00028">28</a> of file <a class="el" href="rayleigh__cdf__log_8hpp_source.html">rayleigh_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a60039dc0a79268bbb0da0a715b309af9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale&gt;::type stan::math::rayleigh_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rayleigh__log_8hpp_source.html#l00029">29</a> of file <a class="el" href="rayleigh__log_8hpp_source.html">rayleigh_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a87968a836e36d11622dbe52db277f36e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_scale&gt;::type stan::math::rayleigh_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rayleigh__log_8hpp_source.html#l00109">109</a> of file <a class="el" href="rayleigh__log_8hpp_source.html">rayleigh_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aab42ace2560fde585011d2f3c5459139"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::rayleigh_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rayleigh__rng_8hpp_source.html#l00024">24</a> of file <a class="el" href="rayleigh__rng_8hpp_source.html">rayleigh_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a57f4b9ccc58d2d03aec434abb0795e41"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::read_corr_L </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>CPCs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>K</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the Cholesky factor of the correlation matrix of the specified dimensionality corresponding to the specified canonical partial correlations. </p>
+<p>It is generally better to work with the Cholesky factor rather than the correlation matrix itself when the determinant, inverse, etc. of the correlation matrix is needed for some statistical calculation.</p>
+<p>See <code>read_corr_matrix(Array, size_t, T)</code> for more information.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">CPCs</td><td>The (K choose 2) canonical partial correlations in (-1, 1). </td></tr>
+    <tr><td class="paramname">K</td><td>Dimensionality of correlation matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cholesky factor of correlation matrix for specified canonical partial correlations.</dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of underlying scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="read__corr___l_8hpp_source.html#l00041">41</a> of file <a class="el" href="read__corr___l_8hpp_source.html">read_corr_L.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af6d327921ea7356872f0eec002c0b032"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::read_corr_L </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>CPCs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>K</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>log_prob</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the Cholesky factor of the correlation matrix of the specified dimensionality corresponding to the specified canonical partial correlations, incrementing the specified scalar reference with the log absolute determinant of the Jacobian of the transformation. </p>
+<p>The implementation is Ben Goodrich's Cholesky factor-based approach to the C-vine method of:</p>
+<ul>
+<li>
+Daniel Lewandowski, Dorota Kurowicka, and Harry Joe, Generating random correlation matrices based on vines and extended onion method Journal of Multivariate Analysis 100 (2009) 1989–2001 </li>
+</ul>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">CPCs</td><td>The (K choose 2) canonical partial correlations in (-1, 1). </td></tr>
+    <tr><td class="paramname">K</td><td>Dimensionality of correlation matrix. </td></tr>
+    <tr><td class="paramname">log_prob</td><td>Reference to variable to increment with the log Jacobian determinant. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cholesky factor of correlation matrix for specified partial correlations. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of underlying scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="read__corr___l_8hpp_source.html#l00095">95</a> of file <a class="el" href="read__corr___l_8hpp_source.html">read_corr_L.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2510336c2dac321c32b171f8ef407a06"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::read_corr_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>CPCs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>K</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the correlation matrix of the specified dimensionality corresponding to the specified canonical partial correlations. </p>
+<p>See <code>read_corr_matrix(Array, size_t, T)</code> for more information.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">CPCs</td><td>The (K choose 2) canonical partial correlations in (-1, 1). </td></tr>
+    <tr><td class="paramname">K</td><td>Dimensionality of correlation matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cholesky factor of correlation matrix for specified canonical partial correlations. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of underlying scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="read__corr__matrix_8hpp_source.html#l00028">28</a> of file <a class="el" href="read__corr__matrix_8hpp_source.html">read_corr_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a09c8a74b36fb456b0baf2d049427487b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::read_corr_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>CPCs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const size_t&#160;</td>
+          <td class="paramname"><em>K</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>log_prob</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the correlation matrix of the specified dimensionality corresponding to the specified canonical partial correlations, incrementing the specified scalar reference with the log absolute determinant of the Jacobian of the transformation. </p>
+<p>It is usually preferable to utilize the version that returns the Cholesky factor of the correlation matrix rather than the correlation matrix itself in statistical calculations.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">CPCs</td><td>The (K choose 2) canonical partial correlations in (-1, 1). </td></tr>
+    <tr><td class="paramname">K</td><td>Dimensionality of correlation matrix. </td></tr>
+    <tr><td class="paramname">log_prob</td><td>Reference to variable to increment with the log Jacobian determinant. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Correlation matrix for specified partial correlations. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of underlying scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="read__corr__matrix_8hpp_source.html#l00056">56</a> of file <a class="el" href="read__corr__matrix_8hpp_source.html">read_corr_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34dc4b0fb00808b0d444b2c656c44c28"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::read_cov_L </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>CPCs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>sds</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>log_prob</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>This is the function that should be called prior to evaluating the density of any elliptical distribution. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">CPCs</td><td>on (-1, 1) </td></tr>
+    <tr><td class="paramname">sds</td><td>on (0, inf) </td></tr>
+    <tr><td class="paramname">log_prob</td><td>the log probability value to increment with the Jacobian </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Cholesky factor of covariance matrix for specified partial correlations. </dd></dl>
+
+<p>Definition at line <a class="el" href="read__cov___l_8hpp_source.html#l00023">23</a> of file <a class="el" href="read__cov___l_8hpp_source.html">read_cov_L.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aecf731d715f789bfad7dbb712851c52e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::read_cov_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>CPCs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>sds</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>log_prob</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>A generally worse alternative to call prior to evaluating the density of an elliptical distribution. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">CPCs</td><td>on (-1, 1) </td></tr>
+    <tr><td class="paramname">sds</td><td>on (0, inf) </td></tr>
+    <tr><td class="paramname">log_prob</td><td>the log probability value to increment with the Jacobian </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Covariance matrix for specified partial correlations. </dd></dl>
+
+<p>Definition at line <a class="el" href="read__cov__matrix_8hpp_source.html#l00023">23</a> of file <a class="el" href="read__cov__matrix_8hpp_source.html">read_cov_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a60bca98247a2b43a06388e08eade3ea5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::read_cov_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>CPCs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>sds</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Builds a covariance matrix from CPCs and standard deviations. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">CPCs</td><td>in (-1, 1) </td></tr>
+    <tr><td class="paramname">sds</td><td>in (0, inf) </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="read__cov__matrix_8hpp_source.html#l00041">41</a> of file <a class="el" href="read__cov__matrix_8hpp_source.html">read_cov_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afe2cbb83ac9ef52296755690e61f4298"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void stan::math::recover_memory </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Recover memory used for all variables for reuse. </p>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::logic_error</td><td>if <code><a class="el" href="namespacestan_1_1math.html#a430f171295b91277dc60dfa2177c7c0b" title="Return true if there is no nested autodiff being executed. ">empty_nested()</a></code> returns <code>false</code> </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="recover__memory_8hpp_source.html#l00018">18</a> of file <a class="el" href="recover__memory_8hpp_source.html">recover_memory.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8ebf2b2bc0f63dcb46a176b43e8b369a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void stan::math::recover_memory_nested </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Recover only the memory used for the top nested call. </p>
+<p>If there is nothing on the nested stack, then a <code>std::logic_error</code> exception is thrown.</p>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::logic_error</td><td>if <code><a class="el" href="namespacestan_1_1math.html#a430f171295b91277dc60dfa2177c7c0b" title="Return true if there is no nested autodiff being executed. ">empty_nested()</a></code> returns <code>true</code> </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="recover__memory__nested_8hpp_source.html#l00020">20</a> of file <a class="el" href="recover__memory__nested_8hpp_source.html">recover_memory_nested.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad3d78d2735a35451f02bcd2f4da24886"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;T&gt; stan::math::rep_array </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rep__array_8hpp_source.html#l00013">13</a> of file <a class="el" href="rep__array_8hpp_source.html">rep_array.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8edf0b7ec2ad24b1fda26a8d58513106"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;std::vector&lt;T&gt; &gt; stan::math::rep_array </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rep__array_8hpp_source.html#l00021">21</a> of file <a class="el" href="rep__array_8hpp_source.html">rep_array.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a53054db4cfa6672654fbaedafbdae242"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;std::vector&lt;std::vector&lt;T&gt; &gt; &gt; stan::math::rep_array </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>k</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rep__array_8hpp_source.html#l00031">31</a> of file <a class="el" href="rep__array_8hpp_source.html">rep_array.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aacc2f4a71f9187885d1fa61a79285eec"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T&gt;::type, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::rep_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rep__matrix_8hpp_source.html#l00016">16</a> of file <a class="el" href="rep__matrix_8hpp_source.html">rep_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a44e90dfa0b0247bee1e9c739d5aee3b8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::rep_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rep__matrix_8hpp_source.html#l00026">26</a> of file <a class="el" href="rep__matrix_8hpp_source.html">rep_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acbe06e42d623e4c975cd636d06bcd383"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::rep_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>rv</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>m</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rep__matrix_8hpp_source.html#l00036">36</a> of file <a class="el" href="rep__matrix_8hpp_source.html">rep_matrix.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9320ac189d0991ef6200daed95bd3c2d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T&gt;::type, 1, Eigen::Dynamic&gt; stan::math::rep_row_vector </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>m</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rep__row__vector_8hpp_source.html#l00015">15</a> of file <a class="el" href="rep__row__vector_8hpp_source.html">rep_row_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a323f6ee7be13a0f7fa7cffa12204ba88"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T&gt;::type, Eigen::Dynamic, 1&gt; stan::math::rep_vector </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rep__vector_8hpp_source.html#l00016">16</a> of file <a class="el" href="rep__vector_8hpp_source.html">rep_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8abf3ffa6d67a158348134225c9d3090"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::resize </td>
+          <td>(</td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; size_t &gt;&#160;</td>
+          <td class="paramname"><em>dims</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Recursively resize the specified vector of vectors, which must bottom out at scalar values, <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vectors or <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrices. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Array-like object to resize. </td></tr>
+    <tr><td class="paramname">dims</td><td>New dimensions. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of object being resized. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="resize_8hpp_source.html#l00063">63</a> of file <a class="el" href="resize_8hpp_source.html">resize.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac5aa264060b3c4ed7954f07dc0fcf138"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2rising__factorial_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2scal_2fun_2rising__factorial_8hpp_source.html">rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a60a96a3d8a0a67f4ab99175db6b4e859"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2rising__factorial_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2scal_2fun_2rising__factorial_8hpp_source.html">rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1964156202b850138f2accd71ff18724"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2rising__factorial_8hpp_source.html#l00041">41</a> of file <a class="el" href="fwd_2scal_2fun_2rising__factorial_8hpp_source.html">rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6db558a6d0b54bf4ea23d9f247c6fbdb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T1, T2&gt;::type stan::math::rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const T1&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{rising\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ x^{(n)} &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_176.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{rising\_factorial}(x, n)}{\partial x} = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \frac{\partial\, x^{(n)}}{\partial x} &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_177.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{rising\_factorial}(x, n)}{\partial n} = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \frac{\partial\, x^{(n)}}{\partial n} &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_178.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ x^{(n)}=\frac{\Gamma(x+n)}{\Gamma(x)} \]" src="form_179.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, x^{(n)}}{\partial x} = x^{(n)}(\Psi(x+n)-\Psi(x)) \]" src="form_180.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, x^{(n)}}{\partial n} = (x)_n\Psi(x+n) \]" src="form_181.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2rising__factorial_8hpp_source.html#l00054">54</a> of file <a class="el" href="prim_2scal_2fun_2rising__factorial_8hpp_source.html">rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a317b1161dabe541d3011714f97684ca4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2rising__factorial_8hpp_source.html#l00054">54</a> of file <a class="el" href="rev_2scal_2fun_2rising__factorial_8hpp_source.html">rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4b35a50161c460ac1d885c61bd705d5a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2rising__factorial_8hpp_source.html#l00059">59</a> of file <a class="el" href="rev_2scal_2fun_2rising__factorial_8hpp_source.html">rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac4b13a596449384f742cc4b758c2e3b9"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::rising_factorial </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>a</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>b</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2rising__factorial_8hpp_source.html#l00064">64</a> of file <a class="el" href="rev_2scal_2fun_2rising__factorial_8hpp_source.html">rising_factorial.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adb73c37a4cec41a69516391a2336fb11"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::round </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2round_8hpp_source.html#l00011">11</a> of file <a class="el" href="fwd_2scal_2fun_2round_8hpp_source.html">round.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab259f70f4c7ebcdf3e032f01efb66c02"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::round </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the rounded form of the specified variable (C99). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#adb73c37a4cec41a69516391a2336fb11">round()</a> for the double-based version.</p>
+<p>The derivative is zero everywhere but numbers half way between whole numbers, so for convenience the derivative is defined to be everywhere zero,</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \mbox{round}(x) = 0$" src="form_419.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{round}(x) = \begin{cases} \lceil x \rceil &amp; \mbox{if } x-\lfloor x\rfloor \geq 0.5 \\ \lfloor x \rfloor &amp; \mbox{if } x-\lfloor x\rfloor < 0.5 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_420.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{round}(x)}{\partial x} = \begin{cases} 0 &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_421.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Specified variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Rounded variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2round_8hpp_source.html#l00057">57</a> of file <a class="el" href="rev_2scal_2fun_2round_8hpp_source.html">round.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab98e74182d133e210dda425a689f2fb3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, 1, Eigen::Dynamic&gt; stan::math::row </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified row of the specified matrix, using start-at-1 indexing. </p>
+<p>This is equivalent to calling <code>m.row(i - 1)</code> and assigning the resulting template expression to a row vector.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar value type for matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Matrix. </td></tr>
+    <tr><td class="paramname">i</td><td>Row index (count from 1). </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Specified row of the matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="row_8hpp_source.html#l00025">25</a> of file <a class="el" href="row_8hpp_source.html">row.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae17fdbe8f98c5d6c887b49f99e6d4a03"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::rows </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the number of rows in the specified matrix, vector, or row vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of matrix entries. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>Input matrix, vector, or row vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Number of rows. </dd></dl>
+
+<p>Definition at line <a class="el" href="rows_8hpp_source.html#l00020">20</a> of file <a class="el" href="rows_8hpp_source.html">rows.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a060626b1758db1e659c0820f77eb7dcf"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, 1&gt; stan::math::rows_dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2rows__dot__product_8hpp_source.html#l00018">18</a> of file <a class="el" href="fwd_2mat_2fun_2rows__dot__product_8hpp_source.html">rows_dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6e1fb33918f8c4e61cc7709905db012c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, R1, 1&gt; stan::math::rows_dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product of the specified vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v1</td><td>First vector. </td></tr>
+    <tr><td class="paramname">v2</td><td>Second vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dot product of the vectors. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the vectors are not the same size or if they are both not vector dimensioned. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2rows__dot__product_8hpp_source.html#l00022">22</a> of file <a class="el" href="prim_2mat_2fun_2rows__dot__product_8hpp_source.html">rows_dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a719a9c5d9d748a503b52d44ed4802193"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;boost::is_same&lt;T1, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;T2, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, 1&gt; &gt;::type stan::math::rows_dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2rows__dot__product_8hpp_source.html#l00025">25</a> of file <a class="el" href="rev_2mat_2fun_2rows__dot__product_8hpp_source.html">rows_dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aab5f5461d67d595a0c0fd720ae6cd6bd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, 1&gt; stan::math::rows_dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2rows__dot__product_8hpp_source.html#l00035">35</a> of file <a class="el" href="fwd_2mat_2fun_2rows__dot__product_8hpp_source.html">rows_dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac6b02f2791c9c5a29811bf411e5f6e4b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R1, 1&gt; stan::math::rows_dot_product </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2rows__dot__product_8hpp_source.html#l00052">52</a> of file <a class="el" href="fwd_2mat_2fun_2rows__dot__product_8hpp_source.html">rows_dot_product.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6b6208b5b257e2a7efac35e88ab93e8c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, 1&gt; stan::math::rows_dot_self </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2rows__dot__self_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2mat_2fun_2rows__dot__self_8hpp_source.html">rows_dot_self.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1ae75387d4a15a928dfe2be6c987e2cb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, R, 1&gt; stan::math::rows_dot_self </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the dot product of each row of a matrix with itself. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>scalar type </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2rows__dot__self_8hpp_source.html#l00016">16</a> of file <a class="el" href="prim_2mat_2fun_2rows__dot__self_8hpp_source.html">rows_dot_self.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2eb786f14699d69c39cfdd49893a8006"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::scaled_add </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>lambda</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scaled__add_8hpp_source.html#l00011">11</a> of file <a class="el" href="scaled__add_8hpp_source.html">scaled_add.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4fefbbf10f04d62902c383f26d98eaee"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_scale&gt;::type stan::math::scaled_inv_chi_square_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>s</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scaled__inv__chi__square__ccdf__log_8hpp_source.html#l00033">33</a> of file <a class="el" href="scaled__inv__chi__square__ccdf__log_8hpp_source.html">scaled_inv_chi_square_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_scale&gt;::type stan::math::scaled_inv_chi_square_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>s</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The CDF of a scaled inverse chi-squared density for y with the specified degrees of freedom parameter and scale parameter. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">nu</td><td>Degrees of freedom. </td></tr>
+    <tr><td class="paramname">s</td><td>Scale parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if nu is not greater than 0 </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if s is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if y is not greater than 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_dof</td><td>Type of degrees of freedom. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scaled__inv__chi__square__cdf_8hpp_source.html#l00048">48</a> of file <a class="el" href="scaled__inv__chi__square__cdf_8hpp_source.html">scaled_inv_chi_square_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6f8d0c1c0ea0a346e972a2b461fb2b51"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_scale&gt;::type stan::math::scaled_inv_chi_square_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>s</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scaled__inv__chi__square__cdf__log_8hpp_source.html#l00034">34</a> of file <a class="el" href="scaled__inv__chi__square__cdf__log_8hpp_source.html">scaled_inv_chi_square_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa760eab5a913100acb5ad73851ec520f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_dof , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_scale&gt;::type stan::math::scaled_inv_chi_square_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>s</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of a scaled inverse chi-squared density for y with the specified degrees of freedom parameter and scale parameter. </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} y &amp;\sim&amp; \mbox{\sf{Inv-}}\chi^2(\nu, s^2) \\ \log (p (y \, |\, \nu, s)) &amp;=&amp; \log \left( \frac{(\nu / 2)^{\nu / 2}}{\Gamma (\nu / 2)} s^\nu y^{- (\nu / 2 + 1)} \exp^{-\nu s^2 / (2y)} \right) \\ &amp;=&amp; \frac{\nu}{2} \log(\frac{\nu}{2}) - \log (\Gamma (\nu / 2)) + \nu \log(s) - (\frac{\nu}{2} + 1) \log(y) - \frac{\nu s^2}{2y} \\ &amp; &amp; \mathrm{ where } \; y > 0 \end{eqnarray*}" src="form_198.png"/>
+</p>
+ <dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">nu</td><td>Degrees of freedom. </td></tr>
+    <tr><td class="paramname">s</td><td>Scale parameter. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if nu is not greater than 0 </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if s is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if y is not greater than 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_dof</td><td>Type of degrees of freedom. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scaled__inv__chi__square__log_8hpp_source.html#l00053">53</a> of file <a class="el" href="scaled__inv__chi__square__log_8hpp_source.html">scaled_inv_chi_square_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a469a0510198f66cfb4a23d9f0d185541"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_scale&gt;::type stan::math::scaled_inv_chi_square_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>s</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scaled__inv__chi__square__log_8hpp_source.html#l00175">175</a> of file <a class="el" href="scaled__inv__chi__square__log_8hpp_source.html">scaled_inv_chi_square_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aefb144e1487af0dcab52c5f47fcbc93f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::scaled_inv_chi_square_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>s</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scaled__inv__chi__square__rng_8hpp_source.html#l00028">28</a> of file <a class="el" href="scaled__inv__chi__square__rng_8hpp_source.html">scaled_inv_chi_square_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34fd02fe795ea38c98f4a02befed309f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::sd </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the unbiased sample standard deviation of the coefficients in the specified column vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sample variance of vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2sd_8hpp_source.html#l00022">22</a> of file <a class="el" href="prim_2mat_2fun_2sd_8hpp_source.html">sd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8e1cb72c1528f0ff383033c642341147"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::sd </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the unbiased sample standard deviation of the coefficients in the specified vector, row vector, or matrix. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified vector, row vector or matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sample variance. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2sd_8hpp_source.html#l00037">37</a> of file <a class="el" href="prim_2mat_2fun_2sd_8hpp_source.html">sd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa6a5f3ceef72929ae7b80e83338d33f3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::sd </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the sample standard deviation of the specified standard vector. </p>
+<p>Raise domain error if size is not greater than zero.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>a vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>sample standard deviation of specified vector </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2sd_8hpp_source.html#l00065">65</a> of file <a class="el" href="rev_2mat_2fun_2sd_8hpp_source.html">sd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a706c4baf534be70bbaa1cceae41da186"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::sd </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2sd_8hpp_source.html#l00082">82</a> of file <a class="el" href="rev_2mat_2fun_2sd_8hpp_source.html">sd.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad87f51c66f702f242b3c5d207896f5d8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::segment </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified number of elements as a vector starting from the specified element - 1 of the specified vector. </p>
+
+<p>Definition at line <a class="el" href="segment_8hpp_source.html#l00019">19</a> of file <a class="el" href="segment_8hpp_source.html">segment.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6068f2afa41aeec7f65229719dfda963"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, 1, Eigen::Dynamic&gt; stan::math::segment </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="segment_8hpp_source.html#l00035">35</a> of file <a class="el" href="segment_8hpp_source.html">segment.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a721232b5c8e7c068a120719255f5fb0c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;T&gt; stan::math::segment </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>sv</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="segment_8hpp_source.html#l00052">52</a> of file <a class="el" href="segment_8hpp_source.html">segment.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9614efc6fd66533b74b43ddb69f21d3b"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void stan::math::set_zero_all_adjoints </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Reset all adjoint values in the stack to zero. </p>
+
+<p>Definition at line <a class="el" href="set__zero__all__adjoints_8hpp_source.html#l00014">14</a> of file <a class="el" href="set__zero__all__adjoints_8hpp_source.html">set_zero_all_adjoints.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af13a9b09e0bebb14eb30f3c78a95a160"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void stan::math::set_zero_all_adjoints_nested </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Reset all adjoint values in the top nested portion of the stack to zero. </p>
+
+<p>Definition at line <a class="el" href="set__zero__all__adjoints__nested_8hpp_source.html#l00017">17</a> of file <a class="el" href="set__zero__all__adjoints__nested_8hpp_source.html">set_zero_all_adjoints_nested.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad825f81b97ddf0b2e1217f30913559a3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::sign </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>z</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="sign_8hpp_source.html#l00009">9</a> of file <a class="el" href="sign_8hpp_source.html">sign.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6341abfdbb8a7f35432a73f27b131688"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::simplex_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the simplex corresponding to the specified free vector. </p>
+<p>A simplex is a vector containing values greater than or equal to 0 that sum to 1. A vector with (K-1) unconstrained values will produce a simplex of size K.</p>
+<p>The transform is based on a centered stick-breaking process.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Free vector input of dimensionality K - 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Simplex of dimensionality K. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="simplex__constrain_8hpp_source.html#l00030">30</a> of file <a class="el" href="simplex__constrain_8hpp_source.html">simplex_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a552a1c130bd90d93271bc9169b2e0ce2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::simplex_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the simplex corresponding to the specified free vector and increment the specified log probability reference with the log absolute Jacobian determinant of the transform. </p>
+<p>The simplex transform is defined through a centered stick-breaking process.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Free vector input of dimensionality K - 1. </td></tr>
+    <tr><td class="paramname">lp</td><td>Log probability reference to increment. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Simplex of dimensionality K. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="simplex__constrain_8hpp_source.html#l00069">69</a> of file <a class="el" href="simplex__constrain_8hpp_source.html">simplex_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a110fab43edbb2ebb9206643900083971"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::simplex_free </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return an unconstrained vector that when transformed produces the specified simplex. </p>
+<p>It applies to a simplex of dimensionality K and produces an unconstrained vector of dimensionality (K-1).</p>
+<p>The simplex transform is defined through a centered stick-breaking process.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Simplex of dimensionality K. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Free vector of dimensionality (K-1) that transfroms to the simplex. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if x is not a valid simplex </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="simplex__free_8hpp_source.html#l00030">30</a> of file <a class="el" href="simplex__free_8hpp_source.html">simplex_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aff3f2dd84567a0566cfdd7eb10e13607"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::sin </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2sin_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2sin_8hpp_source.html">sin.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae306538402ac590b8b84e6ed58989629"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::sin </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the sine of a radian-scaled variable (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \sin x = \cos x$" src="form_422.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{sin}(x) = \begin{cases} \sin(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_423.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{sin}(x)}{\partial x} = \begin{cases} \cos(x) &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_424.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable for radians of angle. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sine of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2sin_8hpp_source.html#l00049">49</a> of file <a class="el" href="rev_2scal_2fun_2sin_8hpp_source.html">sin.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a56518b3d36f8b7ce72c9b8f4b77c8f22"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::singular_values </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the vector of the singular values of the specified matrix in decreasing order of magnitude. </p>
+<p>See the documentation for <code>svd()</code> for information on the signular values. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Singular values of the matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="singular__values_8hpp_source.html#l00021">21</a> of file <a class="el" href="singular__values_8hpp_source.html">singular_values.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a646a34790ca2b692b2a8c74c4e4fb726"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::sinh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2sinh_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2sinh_8hpp_source.html">sinh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a241b79300774f40a6e67b7156b494462"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::sinh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the hyperbolic sine of the specified variable (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \sinh x = \cosh x$" src="form_425.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{sinh}(x) = \begin{cases} \sinh(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_426.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{sinh}(x)}{\partial x} = \begin{cases} \cosh(x) &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_427.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Hyperbolic sine of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2sinh_8hpp_source.html#l00049">49</a> of file <a class="el" href="rev_2scal_2fun_2sinh_8hpp_source.html">sinh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa1f9966aade9c4515d33d3ffa7305462"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::size </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the size of the specified standard vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>Input vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Size of input vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="size_8hpp_source.html#l00017">17</a> of file <a class="el" href="size_8hpp_source.html">size.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a764774344adc0fc192a79bb25cab62ea"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::skew_normal_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="skew__normal__ccdf__log_8hpp_source.html#l00027">27</a> of file <a class="el" href="skew__normal__ccdf__log_8hpp_source.html">skew_normal_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4619194e1d367590916fb133f99385a7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::skew_normal_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="skew__normal__cdf_8hpp_source.html#l00027">27</a> of file <a class="el" href="skew__normal__cdf_8hpp_source.html">skew_normal_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a244e671c45143752fe0d8e50dd8d64dd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::skew_normal_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="skew__normal__cdf__log_8hpp_source.html#l00027">27</a> of file <a class="el" href="skew__normal__cdf__log_8hpp_source.html">skew_normal_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a063fa4970b1aced1fe47505e950c5ff9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::skew_normal_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="skew__normal__log_8hpp_source.html#l00028">28</a> of file <a class="el" href="skew__normal__log_8hpp_source.html">skew_normal_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9f3802cc8e1abfde6592284133457854"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale, T_shape&gt;::type stan::math::skew_normal_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="skew__normal__log_8hpp_source.html#l00147">147</a> of file <a class="el" href="skew__normal__log_8hpp_source.html">skew_normal_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae20ce3e4d117da5792ace24dfc92b1ea"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::skew_normal_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="skew__normal__rng_8hpp_source.html#l00022">22</a> of file <a class="el" href="skew__normal__rng_8hpp_source.html">skew_normal_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6f57ef7820025c7b350f84c3aebfe45e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, Eigen::Dynamic, 1&gt; stan::math::softmax </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2softmax_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2mat_2fun_2softmax_8hpp_source.html">softmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acd226ffb6c2a089f2e133b74b5fed2b0"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::softmax </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the softmax of the specified vector. </p>
+<p><img class="formulaInl" alt="$ \mbox{softmax}(y) = \frac{\exp(y)} {\sum_{k=1}^K \exp(y_k)}, $" src="form_18.png"/></p>
+<p>The entries in the Jacobian of the softmax function are given by <img class="formulaInl" alt="$ \begin{array}{l} \displaystyle \frac{\partial}{\partial y_m} \mbox{softmax}(y)[k] \\[8pt] \displaystyle \mbox{ } \ \ \ = \left\{ \begin{array}{ll} \mbox{softmax}(y)[k] - \mbox{softmax}(y)[k] \times \mbox{softmax}(y)[m] &amp; \mbox{ if } m = k, \mbox{ and} \\[6pt] \mbox{softmax}(y)[k] * \mbox{softmax}(y)[m] &amp; \mbox{ if } m \neq k. \end{array} \right. \end{array} $" src="form_19.png"/></p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type of values in vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>Vector to transform. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Unit simplex result of the softmax transform of the vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2softmax_8hpp_source.html#l00046">46</a> of file <a class="el" href="prim_2mat_2fun_2softmax_8hpp_source.html">softmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9fc994b4977baae2d53f2d0a60c77522"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, Eigen::Dynamic, 1&gt; stan::math::softmax </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the softmax of the specified <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector. </p>
+<p>Softmax is guaranteed to return a simplex.</p>
+<p>The gradient calculations are unfolded.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">alpha</td><td>Unconstrained input vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Softmax of the input. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the input vector is size 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2softmax_8hpp_source.html#l00059">59</a> of file <a class="el" href="rev_2mat_2fun_2softmax_8hpp_source.html">softmax.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a941784bb46a4a2fabf3deacebbd71ec5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; &gt; stan::math::sort_asc </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2sort__asc_8hpp_source.html#l00017">17</a> of file <a class="el" href="fwd_2mat_2fun_2sort__asc_8hpp_source.html">sort_asc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a80f5418b16ea26e9bc6d2a8f9b764897"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;T&gt; stan::math::sort_asc </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; T &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified standard vector in ascending order. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td>Standard vector to order. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Standard vector ordered. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements of the vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="sort_8hpp_source.html#l00020">20</a> of file <a class="el" href="sort_8hpp_source.html">sort.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8583739553a742829c5e0b39879af0dd"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt; stan::math::sort_asc </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified standard vector in ascending order with gradients kept. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td>Standard vector to order. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Standard vector ordered. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements of the vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2sort__asc_8hpp_source.html#l00021">21</a> of file <a class="el" href="rev_2mat_2fun_2sort__asc_8hpp_source.html">sort_asc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4181de091dfd2ded22cefa4df86720e6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::sort_asc </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2sort__asc_8hpp_source.html#l00025">25</a> of file <a class="el" href="fwd_2mat_2fun_2sort__asc_8hpp_source.html">sort_asc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac0391669326527e057a3f0865703b13d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C&gt; stan::math::sort_asc </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified eigen vector in ascending order with gradients kept. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td><a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector to order. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector ordered. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements of the vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2sort__asc_8hpp_source.html#l00035">35</a> of file <a class="el" href="rev_2mat_2fun_2sort__asc_8hpp_source.html">sort_asc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af9e46c9e96c0e88cc503e4b903247cce"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, R, C&gt; stan::math::sort_asc </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; T, R, C &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified eigen vector in ascending order. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td><a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector to order. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector ordered. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements of the vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="sort_8hpp_source.html#l00046">46</a> of file <a class="el" href="sort_8hpp_source.html">sort.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7c06412237c5d6879a4c07f0706303e9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; &gt; stan::math::sort_desc </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2sort__desc_8hpp_source.html#l00017">17</a> of file <a class="el" href="fwd_2mat_2fun_2sort__desc_8hpp_source.html">sort_desc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8cefcb10a8af1224993d04e812f74e5e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt; stan::math::sort_desc </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified standard vector in descending order with gradients kept. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td>Standard vector to order. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Standard vector ordered. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements of the vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2sort__desc_8hpp_source.html#l00021">21</a> of file <a class="el" href="rev_2mat_2fun_2sort__desc_8hpp_source.html">sort_desc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a27e74300574eb2a6e80e0f4cb029596e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::sort_desc </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2sort__desc_8hpp_source.html#l00025">25</a> of file <a class="el" href="fwd_2mat_2fun_2sort__desc_8hpp_source.html">sort_desc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab0b2712eab9b95535c0589455ed11cfc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;T&gt; stan::math::sort_desc </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; T &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified standard vector in descending order. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td>Standard vector to order. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Standard vector ordered. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements of the vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="sort_8hpp_source.html#l00033">33</a> of file <a class="el" href="sort_8hpp_source.html">sort.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5d8d83ef27eeacd30d11964ce32f4186"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C&gt; stan::math::sort_desc </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified eigen vector in descending order with gradients kept. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td><a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector to order. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector ordered. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements of the vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2sort__desc_8hpp_source.html#l00035">35</a> of file <a class="el" href="rev_2mat_2fun_2sort__desc_8hpp_source.html">sort_desc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a60648efc106b7596ddc356b765b6df81"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, R, C&gt; stan::math::sort_desc </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; T, R, C &gt;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified eigen vector in descending order. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td><a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector to order. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd><a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector ordered. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements of the vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="sort_8hpp_source.html#l00060">60</a> of file <a class="el" href="sort_8hpp_source.html">sort.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4a13ccb29cba05ef0daa9712ee9bf7a3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename C &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;int&gt; stan::math::sort_indices_asc </td>
+          <td>(</td>
+          <td class="paramtype">const C &amp;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return a sorted copy of the argument container in ascending order. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">C</td><td>type of container </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td>Container to sort </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>sorted version of container </dd></dl>
+
+<p>Definition at line <a class="el" href="sort__indices__asc_8hpp_source.html#l00023">23</a> of file <a class="el" href="sort__indices__asc_8hpp_source.html">sort_indices_asc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a27f6f9085eb850e9e0fcb98df345aeba"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename C &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;int&gt; stan::math::sort_indices_desc </td>
+          <td>(</td>
+          <td class="paramtype">const C &amp;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return a sorted copy of the argument container in ascending order. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">C</td><td>type of container </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td>Container to sort </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>sorted version of container </dd></dl>
+
+<p>Definition at line <a class="el" href="sort__indices__desc_8hpp_source.html#l00023">23</a> of file <a class="el" href="sort__indices__desc_8hpp_source.html">sort_indices_desc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa5231d132852d58cd3fe610221c9766f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::sqrt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2sqrt_8hpp_source.html">sqrt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab438f4b0a11d8551fe5605237f655730"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::sqrt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the square root of the specified variable (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \sqrt{x} = \frac{1}{2 \sqrt{x}}$" src="form_428.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{sqrt}(x) = \begin{cases} \textrm{NaN} &amp; x < 0 \\ \sqrt{x} &amp; \mbox{if } x\geq 0\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_429.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{sqrt}(x)}{\partial x} = \begin{cases} \textrm{NaN} &amp; x < 0 \\ \frac{1}{2\sqrt{x}} &amp; x\geq 0\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_430.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable whose square root is taken. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Square root of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2sqrt_8hpp_source.html#l00050">50</a> of file <a class="el" href="rev_2scal_2fun_2sqrt_8hpp_source.html">sqrt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1369f60a09e3af4933096de3a54ac28c"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::sqrt2 </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the square root of two. </p>
+<dl class="section return"><dt>Returns</dt><dd>Square root of two. </dd></dl>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00104">104</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab1ed68bdfff9b340a187964ef7684091"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::square </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2square_8hpp_source.html">square.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a056b82f11f784f321bce2c5677089e24"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::square </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the square of the specified argument. </p>
+<p><img class="formulaInl" alt="$\mbox{square}(x) = x^2$" src="form_182.png"/>.</p>
+<p>The implementation of <code>square(x)</code> is just <code>x * x</code>. Given this, this method is mainly useful in cases where <code>x</code> is not a simple primitive type, particularly when it is an auto-dif type.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Input to square. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Square of input. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2square_8hpp_source.html#l00022">22</a> of file <a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">square.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa1b349cd070427c412c2c0a0d32327b5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::square </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the square of the input variable. </p>
+<p>Using <code>square(x)</code> is more efficient than using <code>x * x</code>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{square}(x) = \begin{cases} x^2 &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_431.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{square}(x)}{\partial x} = \begin{cases} 2x &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_432.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Variable to square. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Square of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2square_8hpp_source.html#l00046">46</a> of file <a class="el" href="rev_2scal_2fun_2square_8hpp_source.html">square.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a292e430d422bfe4984f9eaa1d20840ab"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2, typename T1 , typename T2 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T1, T2&gt;::type stan::math::squared_distance </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the squared distance between the specified vectors. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v1</td><td>First vector. </td></tr>
+    <tr><td class="paramname">v2</td><td>Second vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Dot product of the vectors. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>If the vectors are not the same size or if they are both not vector dimensioned. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2squared__distance_8hpp_source.html#l00022">22</a> of file <a class="el" href="prim_2mat_2fun_2squared__distance_8hpp_source.html">squared_distance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2d2e9c8de72e19836336f70e6c03341c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::squared_distance </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html#l00112">112</a> of file <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html">squared_distance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a57b6cfbac0ae13e4217fba5ff20ac9e4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::squared_distance </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html#l00122">122</a> of file <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html">squared_distance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa5483c9ea2644a3b127b36f32668bbec"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R1, int C1, int R2, int C2&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::squared_distance </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html#l00132">132</a> of file <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html">squared_distance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aab45f57a15327ae4f94a1aef0bcd869f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::stan_print </td>
+          <td>(</td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>o</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2stan__print_8hpp_source.html#l00010">10</a> of file <a class="el" href="rev_2mat_2fun_2stan__print_8hpp_source.html">stan_print.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7c14b7fd70050f03a07fdf73a1df06d2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::stan_print </td>
+          <td>(</td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>o</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2stan__print_8hpp_source.html#l00012">12</a> of file <a class="el" href="prim_2mat_2fun_2stan__print_8hpp_source.html">stan_print.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a37cb2d874adcc950cb0439af044f549f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::stan_print </td>
+          <td>(</td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>o</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2stan__print_8hpp_source.html#l00017">17</a> of file <a class="el" href="prim_2mat_2fun_2stan__print_8hpp_source.html">stan_print.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae94f7170ee85d4b353f55e3a044d2345"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::stan_print </td>
+          <td>(</td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>o</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2stan__print_8hpp_source.html#l00027">27</a> of file <a class="el" href="prim_2mat_2fun_2stan__print_8hpp_source.html">stan_print.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad9c9057d71cf2795d0042f665c0f89c1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::stan_print </td>
+          <td>(</td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>o</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2stan__print_8hpp_source.html#l00038">38</a> of file <a class="el" href="prim_2mat_2fun_2stan__print_8hpp_source.html">stan_print.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adffa61a0521d0c07b8c4cd7ccbbb4aca"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::stan_print </td>
+          <td>(</td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>o</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2stan__print_8hpp_source.html#l00049">49</a> of file <a class="el" href="prim_2mat_2fun_2stan__print_8hpp_source.html">stan_print.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad4a72c89ed9143a7760cc3611e8a0df0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void stan::math::start_nested </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Record the current position so that <code><a class="el" href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a" title="Recover only the memory used for the top nested call. ">recover_memory_nested()</a></code> can find it. </p>
+
+<p>Definition at line <a class="el" href="start__nested_8hpp_source.html#l00013">13</a> of file <a class="el" href="start__nested_8hpp_source.html">start_nested.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8a7c701333f443140d6d4bfdde5b15b3"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::step </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the step, or heaviside, function applied to the specified variable (stan). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#a8fdc5e5ba8e306c2a594e928bfd62ea2" title="The step, or Heaviside, function. ">stan::math::step()</a> for the double-based version.</p>
+<p>The derivative of the step function is zero everywhere but at 0, so for convenience, it is taken to be everywhere zero,</p>
+<p><img class="formulaInl" alt="$\mbox{step}(x) = 0$" src="form_433.png"/>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable argument. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The constant variable with value 1.0 if the argument's value is greater than or equal to 0.0, and value 0.0 otherwise. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2step_8hpp_source.html#l00025">25</a> of file <a class="el" href="rev_2scal_2fun_2step_8hpp_source.html">step.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8fdc5e5ba8e306c2a594e928bfd62ea2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::step </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>The step, or Heaviside, function. </p>
+<p>The function is defined by</p>
+<p><code>step(y) = (y &lt; 0.0) ? 0 : 1</code>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{step}(x) = \begin{cases} 0 &amp; \mbox{if } x \leq 0 \\ 1 &amp; \mbox{if } x > 0 \\[6pt] 0 &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_183.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Scalar argument.</td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>1 if the specified argument is greater than or equal to 0.0, and 0 otherwise. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2step_8hpp_source.html#l00029">29</a> of file <a class="el" href="prim_2scal_2fun_2step_8hpp_source.html">step.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa7330bcb373ce5df4f6cedb70d4ba571"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_loc, T_scale&gt;::type stan::math::student_t_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="student__t__ccdf__log_8hpp_source.html#l00033">33</a> of file <a class="el" href="student__t__ccdf__log_8hpp_source.html">student_t_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6c3707b197842a840217b04e3cc1b0da"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_loc, T_scale&gt;::type stan::math::student_t_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="student__t__cdf_8hpp_source.html#l00033">33</a> of file <a class="el" href="student__t__cdf_8hpp_source.html">student_t_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0cf7b73942cfee4fec76599b966796d1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_loc, T_scale&gt;::type stan::math::student_t_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="student__t__cdf__log_8hpp_source.html#l00033">33</a> of file <a class="el" href="student__t__cdf__log_8hpp_source.html">student_t_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a20962dd5b3da2477c4c2a9170904fb27"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_loc, T_scale&gt;::type stan::math::student_t_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of the Student-t density for the given y, nu, mean, and scale parameter. </p>
+<p>The scale parameter must be greater than 0.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} y &amp;\sim&amp; t_{\nu} (\mu, \sigma^2) \\ \log (p (y \, |\, \nu, \mu, \sigma) ) &amp;=&amp; \log \left( \frac{\Gamma((\nu + 1) /2)} {\Gamma(\nu/2)\sqrt{\nu \pi} \sigma} \left( 1 + \frac{1}{\nu} (\frac{y - \mu}{\sigma})^2 \right)^{-(\nu + 1)/2} \right) \\ &amp;=&amp; \log( \Gamma( (\nu+1)/2 )) - \log (\Gamma (\nu/2) - \frac{1}{2} \log(\nu \pi) - \log(\sigma) -\frac{\nu + 1}{2} \log (1 + \frac{1}{\nu} (\frac{y - \mu}{\sigma})^2) \end{eqnarray*}" src="form_199.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">nu</td><td>Degrees of freedom. </td></tr>
+    <tr><td class="paramname">mu</td><td>The mean of the Student-t distribution. </td></tr>
+    <tr><td class="paramname">sigma</td><td>The scale parameter of the Student-t distribution. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the Student-t density at y. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if sigma is not greater than 0. </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if nu is not greater than 0. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_dof</td><td>Type of degrees of freedom. </td></tr>
+    <tr><td class="paramname">T_loc</td><td>Type of location. </td></tr>
+    <tr><td class="paramname">T_scale</td><td>Type of scale. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="student__t__log_8hpp_source.html#l00058">58</a> of file <a class="el" href="student__t__log_8hpp_source.html">student_t_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab25a0e28b3bd50cfc9fb14e9f410bd3b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_dof, T_loc, T_scale&gt;::type stan::math::student_t_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_loc &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="student__t__log_8hpp_source.html#l00222">222</a> of file <a class="el" href="student__t__log_8hpp_source.html">student_t_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4d151fedbd83f49080ef17c148ef1dad"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::student_t_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="student__t__rng_8hpp_source.html#l00028">28</a> of file <a class="el" href="student__t__rng_8hpp_source.html">student_t_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9e4c5e5b76b18a41b28f646104b3cd46"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::sub </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>result</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="sub_8hpp_source.html#l00010">10</a> of file <a class="el" href="sub_8hpp_source.html">sub.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a943cb439569c2dc588661a1cc171e2d2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::sub_col </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>j</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>nrows</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a nrows x 1 subcolumn starting at (i-1, j-1). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Matrix </td></tr>
+    <tr><td class="paramname">i</td><td>Starting row + 1 </td></tr>
+    <tr><td class="paramname">j</td><td>Starting column + 1 </td></tr>
+    <tr><td class="paramname">nrows</td><td>Number of rows in block </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="sub__col_8hpp_source.html#l00022">22</a> of file <a class="el" href="sub__col_8hpp_source.html">sub_col.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a019d635ee39f24b69c3f27e96bba4be1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, 1, Eigen::Dynamic&gt; stan::math::sub_row </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>i</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>j</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>ncols</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return a 1 x nrows subrow starting at (i-1, j-1). </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Matrix </td></tr>
+    <tr><td class="paramname">i</td><td>Starting row + 1 </td></tr>
+    <tr><td class="paramname">j</td><td>Starting column + 1 </td></tr>
+    <tr><td class="paramname">ncols</td><td>Number of columns in block </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="sub__row_8hpp_source.html#l00023">23</a> of file <a class="el" href="sub__row_8hpp_source.html">sub_row.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a38ba678d90cda4868c14d6d6bc6b509d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt; stan::math::subtract </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m1</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m2</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of subtracting the second specified matrix from the first specified matrix. </p>
+<p>The return scalar type is the promotion of the input types.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>Scalar type of first matrix. </td></tr>
+    <tr><td class="paramname">T2</td><td>Scalar type of second matrix. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of matrices. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of matrices. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m1</td><td>First matrix. </td></tr>
+    <tr><td class="paramname">m2</td><td>Second matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Difference between first matrix and second matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="subtract_8hpp_source.html#l00027">27</a> of file <a class="el" href="subtract_8hpp_source.html">subtract.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a46fb2ca306088487251df70b19e73aff"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt; stan::math::subtract </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>c</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="subtract_8hpp_source.html#l00043">43</a> of file <a class="el" href="subtract_8hpp_source.html">subtract.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9a8a3f79fa67648f8145c6692d19334b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type, R, C&gt; stan::math::subtract </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>c</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="subtract_8hpp_source.html#l00056">56</a> of file <a class="el" href="subtract_8hpp_source.html">subtract.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1efee0b4f8879a114af50b7e9802745c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::sum </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>xs</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the sum of the values in the specified standard vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements summed. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">xs</td><td>Standard vector to sum. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of elements. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2fun_2sum_8hpp_source.html#l00018">18</a> of file <a class="el" href="prim_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5e5dda5a9c244efdbd023cc01d47cbf4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::sum </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the sum of the entries of the specified standard vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of vector entries. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of vector entries. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">20</a> of file <a class="el" href="fwd_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a03ac5708411da911ccf11be4a5f511f5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::sum </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the sum of the entries of the specified matrix. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of matrix entries. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of matrix entries. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2sum_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2mat_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a44c32c2d7e895378feb11c99091765ad"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::sum </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the sum of the coefficients of the specified column vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of elements in matrix. </td></tr>
+    <tr><td class="paramname">R</td><td>Row type of matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type of matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of coefficients of vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html#l00022">22</a> of file <a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1ec64f77d2621d9f1aada5a8d2e90c2b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::sum </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the sum of the coefficients of the specified matrix, column vector or row vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">R</td><td>Row type for matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>Column type for matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified matrix or vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of coefficients of matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2sum_8hpp_source.html#l00050">50</a> of file <a class="el" href="rev_2mat_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2538f04d0c683772fb3f46197d8c0059"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::sum </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the sum of the entries of the specified vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sum of vector entries. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html#l00053">53</a> of file <a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html">sum.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a55548f1b502d1dd6283268b79fc41507"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::tail </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified number of elements as a vector from the back of the specified vector. </p>
+
+<p>Definition at line <a class="el" href="tail_8hpp_source.html#l00023">23</a> of file <a class="el" href="tail_8hpp_source.html">tail.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7d79ddf4f28c8bd68ae569b94fb693c6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, 1, Eigen::Dynamic&gt; stan::math::tail </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>rv</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified number of elements as a row vector from the back of the specified row vector. </p>
+
+<p>Definition at line <a class="el" href="tail_8hpp_source.html#l00038">38</a> of file <a class="el" href="tail_8hpp_source.html">tail.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9956cf78180c6340f61667e797cf7055"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;T&gt; stan::math::tail </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>sv</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">size_t&#160;</td>
+          <td class="paramname"><em>n</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="tail_8hpp_source.html#l00046">46</a> of file <a class="el" href="tail_8hpp_source.html">tail.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae09b685b660830075f80caaf8a350676"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::tan </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2tan_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2tan_8hpp_source.html">tan.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adf8320fd61a3c0c73f2ab8d78d949e58"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::tan </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the tangent of a radian-scaled variable (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \tan x = \sec^2 x$" src="form_434.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{tan}(x) = \begin{cases} \tan(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_435.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{tan}(x)}{\partial x} = \begin{cases} \sec^2(x) &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_436.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable for radians of angle. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Tangent of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2tan_8hpp_source.html#l00049">49</a> of file <a class="el" href="rev_2scal_2fun_2tan_8hpp_source.html">tan.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae11dc45fd471bec1a19462ce58f434b8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::tanh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2tanh_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2scal_2fun_2tanh_8hpp_source.html">tanh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6d342831ec24762b18f71ba4fba54621"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::tanh </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the hyperbolic tangent of the specified variable (cmath). </p>
+<p>The derivative is defined by</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \tanh x = \frac{1}{\cosh^2 x}$" src="form_437.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{tanh}(x) = \begin{cases} \tanh(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_438.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{tanh}(x)}{\partial x} = \begin{cases} \mbox{sech}^2(x) &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_439.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Hyperbolic tangent of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2tanh_8hpp_source.html#l00050">50</a> of file <a class="el" href="rev_2scal_2fun_2tanh_8hpp_source.html">tanh.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab379e9a9f74dab16c41d82978cc4b58e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, R&gt; stan::math::tcrossprod </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2tcrossprod_8hpp_source.html#l00017">17</a> of file <a class="el" href="fwd_2mat_2fun_2tcrossprod_8hpp_source.html">tcrossprod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a16b07b3f7d18cdb710806c5793a83d31"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">matrix_d</a> stan::math::tcrossprod </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">matrix_d</a> &amp;&#160;</td>
+          <td class="paramname"><em>M</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the result of post-multiplying a matrix by its own transpose. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">M</td><td>Matrix to multiply. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>M times its transpose. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2tcrossprod_8hpp_source.html#l00017">17</a> of file <a class="el" href="prim_2mat_2fun_2tcrossprod_8hpp_source.html">tcrossprod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a03ab719a94e19bfcf26e208ffcf5ff9a"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a> stan::math::tcrossprod </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a> &amp;&#160;</td>
+          <td class="paramname"><em>M</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the result of post-multiplying a matrix by its own transpose. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">M</td><td>Matrix to multiply. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>M times its transpose. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2tcrossprod_8hpp_source.html#l00025">25</a> of file <a class="el" href="rev_2mat_2fun_2tcrossprod_8hpp_source.html">tcrossprod.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a73eaf0a5d0593bb8610234e0d69e7cec"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::tgamma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2tgamma_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2scal_2fun_2tgamma_8hpp_source.html">tgamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af27ba386c3836a69c7d270f89c946268"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::tgamma </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the Gamma function applied to the specified variable (C99). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#af27ba386c3836a69c7d270f89c946268" title="Return the Gamma function applied to the specified variable (C99). ">boost::math::tgamma()</a> for the double-based version.</p>
+<p>The derivative with respect to the argument is</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \Gamma(x) = \Gamma(x) \Psi^{(0)}(x)$" src="form_440.png"/></p>
+<p>where <img class="formulaInl" alt="$\Psi^{(0)}(x)$" src="form_441.png"/> is the digamma function.</p>
+<p>See <a class="el" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma()</a> for the double-based version.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{tgamma}(x) = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \Gamma(x) &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_442.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{tgamma}(x)}{\partial x} = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \frac{\partial\, \Gamma(x)}{\partial x} &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_443.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \Gamma(x)=\int_0^{\infty} u^{x - 1} \exp(-u) \, du \]" src="form_444.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \Gamma(x)}{\partial x} = \Gamma(x)\Psi(x) \]" src="form_445.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Argument to function. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The Gamma function applied to the specified argument. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2tgamma_8hpp_source.html#l00065">65</a> of file <a class="el" href="rev_2scal_2fun_2tgamma_8hpp_source.html">tgamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa21ef8b682892947fbb2059e137d03dd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;T&gt; stan::math::to_array_1d </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>matrix</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="to__array__1d_8hpp_source.html#l00015">15</a> of file <a class="el" href="to__array__1d_8hpp_source.html">to_array_1d.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ade6f4ebba197a343912387588ac340f3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;T&gt; stan::math::to_array_1d </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="to__array__1d_8hpp_source.html#l00029">29</a> of file <a class="el" href="to__array__1d_8hpp_source.html">to_array_1d.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a02269796c44320e2b40af0411649a871"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt;T&gt;::type&gt; stan::math::to_array_1d </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="to__array__1d_8hpp_source.html#l00036">36</a> of file <a class="el" href="to__array__1d_8hpp_source.html">to_array_1d.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3a169380be20289fd7824baa5060cffb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt; std::vector&lt;T&gt; &gt; stan::math::to_array_2d </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>matrix</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="to__array__2d_8hpp_source.html#l00013">13</a> of file <a class="el" href="to__array__2d_8hpp_source.html">to_array_2d.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad19a5837a9b5c3e219e5081d8dca3c89"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::to_fvar </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2fun_2to__fvar_8hpp_source.html#l00012">12</a> of file <a class="el" href="scal_2fun_2to__fvar_8hpp_source.html">to_fvar.hpp</a>.</p>
+
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+<a class="anchor" id="a1e3e1362a4de8a9143246413e9bf9e99"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; &gt; stan::math::to_fvar </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="arr_2fun_2to__fvar_8hpp_source.html#l00014">14</a> of file <a class="el" href="arr_2fun_2to__fvar_8hpp_source.html">to_fvar.hpp</a>.</p>
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+</div>
+<a class="anchor" id="adfb48ecaf381b03e60f9df8bab82e60c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C, typename T &gt; </div>
+<table class="mlabels">
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+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, R, C&gt; stan::math::to_fvar </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2fun_2to__fvar_8hpp_source.html#l00016">16</a> of file <a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">to_fvar.hpp</a>.</p>
+
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+<a class="anchor" id="a5d9d67d772eeec5340fde5d2753a14b7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::to_fvar </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2fun_2to__fvar_8hpp_source.html#l00019">19</a> of file <a class="el" href="scal_2fun_2to__fvar_8hpp_source.html">to_fvar.hpp</a>.</p>
+
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+</div>
+<a class="anchor" id="a6a866da3d4ca122849b1e0ab9b38687a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;double&gt;, R, C&gt; stan::math::to_fvar </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2fun_2to__fvar_8hpp_source.html#l00023">23</a> of file <a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">to_fvar.hpp</a>.</p>
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+<a class="anchor" id="a0b9ffd571f615dfff619e6134020c4f3"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; &gt; stan::math::to_fvar </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>d</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="arr_2fun_2to__fvar_8hpp_source.html#l00024">24</a> of file <a class="el" href="arr_2fun_2to__fvar_8hpp_source.html">to_fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aafb79996a9efea5b41d2d61ac2e0ecd3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::to_fvar </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>val</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>deriv</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2fun_2to__fvar_8hpp_source.html#l00033">33</a> of file <a class="el" href="mat_2fun_2to__fvar_8hpp_source.html">to_fvar.hpp</a>.</p>
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+<a class="anchor" id="a2acaa881cd71a9cc7b23b6a8d963f769"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
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+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; &gt; stan::math::to_fvar </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="arr_2fun_2to__fvar_8hpp_source.html#l00034">34</a> of file <a class="el" href="arr_2fun_2to__fvar_8hpp_source.html">to_fvar.hpp</a>.</p>
+
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+<a class="anchor" id="a1c5c1dfd195623ec3ff7343d3f24e968"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::to_matrix </td>
+          <td>(</td>
+          <td class="paramtype">Eigen::Matrix&lt; T, R, C &gt;&#160;</td>
+          <td class="paramname"><em>matrix</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="to__matrix_8hpp_source.html#l00016">16</a> of file <a class="el" href="to__matrix_8hpp_source.html">to_matrix.hpp</a>.</p>
+
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+<div class="memitem">
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+template&lt;typename T &gt; </div>
+<table class="mlabels">
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+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::to_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; T &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>vec</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="to__matrix_8hpp_source.html#l00023">23</a> of file <a class="el" href="to__matrix_8hpp_source.html">to_matrix.hpp</a>.</p>
+
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+<a class="anchor" id="a982a68ecc9d6059cef44e63771bb1afe"></a>
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+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::to_matrix </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; int &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>vec</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="to__matrix_8hpp_source.html#l00040">40</a> of file <a class="el" href="to__matrix_8hpp_source.html">to_matrix.hpp</a>.</p>
+
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+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, 1, Eigen::Dynamic&gt; stan::math::to_row_vector </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>matrix</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="to__row__vector_8hpp_source.html#l00016">16</a> of file <a class="el" href="to__row__vector_8hpp_source.html">to_row_vector.hpp</a>.</p>
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+<a class="anchor" id="ad4ee946e9b4885352c0cacf9bd985db3"></a>
+<div class="memitem">
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+<table class="mlabels">
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+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, 1, Eigen::Dynamic&gt; stan::math::to_row_vector </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>vec</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="to__row__vector_8hpp_source.html#l00024">24</a> of file <a class="el" href="to__row__vector_8hpp_source.html">to_row_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0f96854fa55967e61b6e7a6f1decd4c8"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, 1, Eigen::Dynamic&gt; stan::math::to_row_vector </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>vec</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="to__row__vector_8hpp_source.html#l00030">30</a> of file <a class="el" href="to__row__vector_8hpp_source.html">to_row_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a06ea285d4408c28e9ec6dc2ca1b571b5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::to_var </td>
+          <td>(</td>
+          <td class="paramtype">const double &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Converts argument to an automatic differentiation variable. </p>
+<p>Returns a <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> variable with the input value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>A scalar value </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>An automatic differentiation variable with the input value. </dd></dl>
+
+<p>Definition at line <a class="el" href="scal_2fun_2to__var_8hpp_source.html#l00017">17</a> of file <a class="el" href="scal_2fun_2to__var_8hpp_source.html">to_var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a82cb5d53612dd12c7038fe711b8dad30"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt; stan::math::to_var </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Converts argument to an automatic differentiation variable. </p>
+<p>Returns a <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> variable with the input value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>A std::vector&lt;double&gt; </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>A std::vector&lt;var&gt; with the values set </dd></dl>
+
+<p>Definition at line <a class="el" href="arr_2fun_2to__var_8hpp_source.html#l00020">20</a> of file <a class="el" href="arr_2fun_2to__var_8hpp_source.html">to_var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adae9f601dd5faa6dcfa6e4edd7e84be9"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a> stan::math::to_var </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">stan::math::matrix_d</a> &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Converts argument to an automatic differentiation variable. </p>
+<p>Returns a <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> variable with the input value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>A Matrix with scalars </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>A Matrix with automatic differentiation variables </dd></dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2to__var_8hpp_source.html#l00021">21</a> of file <a class="el" href="mat_2fun_2to__var_8hpp_source.html">to_var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adad5c0d61bde25dc78e090509b4b3149"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::to_var </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Converts argument to an automatic differentiation variable. </p>
+<p>Returns a <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> variable with the input value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>An automatic differentiation variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>An automatic differentiation variable with the input value. </dd></dl>
+
+<p>Definition at line <a class="el" href="scal_2fun_2to__var_8hpp_source.html#l00029">29</a> of file <a class="el" href="scal_2fun_2to__var_8hpp_source.html">to_var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a23a0b6d855303036d196c5b3ccb1a320"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt; stan::math::to_var </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Converts argument to an automatic differentiation variable. </p>
+<p>Returns a <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> variable with the input value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>A std::vector&lt;var&gt; </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>A std::vector&lt;var&gt; </dd></dl>
+
+<p>Definition at line <a class="el" href="arr_2fun_2to__var_8hpp_source.html#l00035">35</a> of file <a class="el" href="arr_2fun_2to__var_8hpp_source.html">to_var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a40674afd6b5163ad3e859fc7da721faf"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a> stan::math::to_var </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a> &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Converts argument to an automatic differentiation variable. </p>
+<p>Returns a <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> variable with the input value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>A Matrix with automatic differentiation variables. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>A Matrix with automatic differentiation variables. </dd></dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2to__var_8hpp_source.html#l00036">36</a> of file <a class="el" href="mat_2fun_2to__var_8hpp_source.html">to_var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a345ee377fd33a8f5101a87482e098247"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#aa7d3137027b10bc7758d4c1763b58a8e">vector_v</a> stan::math::to_var </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#ac9e96c15b87fbd704ab9bcf77e7597db">stan::math::vector_d</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Converts argument to an automatic differentiation variable. </p>
+<p>Returns a <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> variable with the input value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>A Vector of scalars </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>A Vector of automatic differentiation variables with values of v </dd></dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2to__var_8hpp_source.html#l00048">48</a> of file <a class="el" href="mat_2fun_2to__var_8hpp_source.html">to_var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abdd6f29816f4c58601da47f272848187"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#aa7d3137027b10bc7758d4c1763b58a8e">vector_v</a> stan::math::to_var </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#aa7d3137027b10bc7758d4c1763b58a8e">vector_v</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Converts argument to an automatic differentiation variable. </p>
+<p>Returns a <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> variable with the input value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>A Vector of automatic differentiation variables </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>A Vector of automatic differentiation variables with values of v </dd></dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2to__var_8hpp_source.html#l00063">63</a> of file <a class="el" href="mat_2fun_2to__var_8hpp_source.html">to_var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac98e7e17d969cb7ee4b36dce58137cba"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#a05401bf8bb7f886d11b1ee90495fe153">row_vector_v</a> stan::math::to_var </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#ac61a9b8f4000b9e69bf2d1dcfb34c984">stan::math::row_vector_d</a> &amp;&#160;</td>
+          <td class="paramname"><em>rv</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Converts argument to an automatic differentiation variable. </p>
+<p>Returns a <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> variable with the input value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">rv</td><td>A row vector of scalars </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>A row vector of automatic differentation variables with values of rv. </dd></dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2to__var_8hpp_source.html#l00075">75</a> of file <a class="el" href="mat_2fun_2to__var_8hpp_source.html">to_var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac28a0e06bb7bd6be39ef50f90e529ccd"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="namespacestan_1_1math.html#a05401bf8bb7f886d11b1ee90495fe153">row_vector_v</a> stan::math::to_var </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="namespacestan_1_1math.html#a05401bf8bb7f886d11b1ee90495fe153">row_vector_v</a> &amp;&#160;</td>
+          <td class="paramname"><em>rv</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Converts argument to an automatic differentiation variable. </p>
+<p>Returns a <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> variable with the input value.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">rv</td><td>A row vector with automatic differentiation variables </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>A row vector with automatic differentiation variables with values of rv. </dd></dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2to__var_8hpp_source.html#l00090">90</a> of file <a class="el" href="mat_2fun_2to__var_8hpp_source.html">to_var.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab76ae6751295de2d9e1961eea42dc631"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::to_vector </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>matrix</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="to__vector_8hpp_source.html#l00016">16</a> of file <a class="el" href="to__vector_8hpp_source.html">to_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af7d35e6eb055462e57cd43865f18d5d6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::to_vector </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>vec</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="to__vector_8hpp_source.html#l00024">24</a> of file <a class="el" href="to__vector_8hpp_source.html">to_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5fbc759ea8f0f34b3dd92e0617c4ea02"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt; stan::math::to_vector </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>vec</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="to__vector_8hpp_source.html#l00030">30</a> of file <a class="el" href="to__vector_8hpp_source.html">to_vector.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7001fd7e0296d5dae6ab0a88e1a28547"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::trace </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the trace of the specified matrix. </p>
+<p>The trace is defined as the sum of the elements on the diagonal. The matrix is not required to be square. Returns 0 if matrix is empty.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">m</td><td>Specified matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Trace of the matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="trace_8hpp_source.html#l00020">20</a> of file <a class="el" href="trace_8hpp_source.html">trace.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8fb2aa245d794e2a6c352038f4811a37"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::trace </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="trace_8hpp_source.html#l00026">26</a> of file <a class="el" href="trace_8hpp_source.html">trace.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af2dc9df09e11dc3e66438bb5d9aa457f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2, typename T3 , int R3, int C3&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt;T1&gt;::value || <a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt;T2&gt;::value || <a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt;T3&gt;::value, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::type stan::math::trace_gen_inv_quad_form_ldlt </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>D</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T3, R3, C3 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Compute the trace of an inverse quadratic form. </p>
+<p>I.E., this computes trace(D B^T A^-1 B) where D is a square matrix and the <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A is provided. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp_source.html#l00027">27</a> of file <a class="el" href="rev_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp_source.html">trace_gen_inv_quad_form_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a03da89fcbd2829c84a5beeb9ccbf2ccf"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 , int R1, int C1, int R2, int C2, int R3, int C3&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;!<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt;T1&gt;::value &amp;&amp; !<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt;T2&gt;::value &amp;&amp; !<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt;T3&gt;::value, typename boost::math::tools::promote_args&lt;T1, T2, T3&gt;::type&gt;::type stan::math::trace_gen_inv_quad_form_ldlt </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>D</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T3, R3, C3 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp_source.html#l00030">30</a> of file <a class="el" href="prim_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp_source.html">trace_gen_inv_quad_form_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acd59dd23ba6d346713d117001b99507f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RD, int CD, int RA, int CA, int RB, int CB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::trace_gen_quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, RD, CD &gt; &amp;&#160;</td>
+          <td class="paramname"><em>D</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2trace__gen__quad__form_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">trace_gen_quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a09d402800ee27ba77d03dc3ec365d22e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RD, int CD, int RA, int CA, int RB, int CB&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::trace_gen_quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, RD, CD &gt; &amp;&#160;</td>
+          <td class="paramname"><em>D</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Compute trace(D B^T A B). </p>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2trace__gen__quad__form_8hpp_source.html#l00017">17</a> of file <a class="el" href="prim_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">trace_gen_quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2c0d37f9fa5d50999308a19d8e67714e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename TD , int RD, int CD, typename TA , int RA, int CA, typename TB , int RB, int CB&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt; boost::is_same&lt;TD, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;TA, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;TB, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt;::type stan::math::trace_gen_quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; TD, RD, CD &gt; &amp;&#160;</td>
+          <td class="paramname"><em>D</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; TA, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; TB, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp_source.html#l00116">116</a> of file <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">trace_gen_quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aaddc5785e5e629683ca0c3d11346d025"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R2, int C2, int R3, int C3&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;!<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt;T1&gt;::value &amp;&amp; !<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt;T2&gt;::value, typename boost::math::tools::promote_args&lt;T1, T2&gt;::type&gt;::type stan::math::trace_inv_quad_form_ldlt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T1, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T2, R3, C3 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html#l00027">27</a> of file <a class="el" href="prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">trace_inv_quad_form_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a04f24e9594341db1cc4ceaf5a69f039b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T2 , int R2, int C2, typename T3 , int R3, int C3&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt;<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt;T2&gt;::value || <a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt;T3&gt;::value, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::type stan::math::trace_inv_quad_form_ldlt </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T2, R2, C2 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T3, R3, C3 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Compute the trace of an inverse quadratic form. </p>
+<p>I.E., this computes trace(B^T A^-1 B) where the <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A is provided. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html#l00177">177</a> of file <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">trace_inv_quad_form_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a097af33142548fd565d1dab2233fa3e5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, int CB&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::trace_quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Compute trace(B^T A B). </p>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2trace__quad__form_8hpp_source.html#l00017">17</a> of file <a class="el" href="prim_2mat_2fun_2trace__quad__form_8hpp_source.html">trace_quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3e0c22a58b3d6fe9d4d6e0131ca791a6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, int CB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::trace_quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2trace__quad__form_8hpp_source.html#l00018">18</a> of file <a class="el" href="fwd_2mat_2fun_2trace__quad__form_8hpp_source.html">trace_quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9bd6d656aebcc1a3937996a31c937a54"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, int CB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::trace_quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2trace__quad__form_8hpp_source.html#l00030">30</a> of file <a class="el" href="fwd_2mat_2fun_2trace__quad__form_8hpp_source.html">trace_quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a171f742f11d2a7929a14ee7c7b47368d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int RA, int CA, int RB, int CB, typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::trace_quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2trace__quad__form_8hpp_source.html#l00042">42</a> of file <a class="el" href="fwd_2mat_2fun_2trace__quad__form_8hpp_source.html">trace_quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5c7a80225b1cb62153ba5d47a45870fe"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename TA , int RA, int CA, typename TB , int RB, int CB&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::enable_if_c&lt; boost::is_same&lt;TA, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value || boost::is_same&lt;TB, <a class="el" href="classstan_1_1math_1_1var.html">var</a>&gt;::value, <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt;::type stan::math::trace_quad_form </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; TA, RA, CA &gt; &amp;&#160;</td>
+          <td class="paramname"><em>A</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; TB, RB, CB &gt; &amp;&#160;</td>
+          <td class="paramname"><em>B</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp_source.html#l00098">98</a> of file <a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp_source.html">trace_quad_form.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a89f315f3af384f2d49a3a26eaef209ac"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, C, R&gt; stan::math::transpose </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="transpose_8hpp_source.html#l00012">12</a> of file <a class="el" href="transpose_8hpp_source.html">transpose.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab18c21bad37c9af26424d0922936355e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::trigamma </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{trigamma}(x) = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \Psi_1(x) &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_184.png"/>
+</p>
+ </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{trigamma}(x)}{\partial x} = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \frac{\partial\, \Psi_1(x)}{\partial x} &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_185.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \Psi_1(x)=\sum_{n=0}^\infty \frac{1}{(x+n)^2} \]" src="form_186.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial \, \Psi_1(x)}{\partial x} = -2\sum_{n=0}^\infty \frac{1}{(x+n)^3} \]" src="form_187.png"/>
+</p>
+ 
+<p>Definition at line <a class="el" href="trigamma_8hpp_source.html#l00050">50</a> of file <a class="el" href="trigamma_8hpp_source.html">trigamma.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a79abc1d4f747b3c26c07b2b1e4871603"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; stan::math::trunc </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2trunc_8hpp_source.html#l00012">12</a> of file <a class="el" href="fwd_2scal_2fun_2trunc_8hpp_source.html">trunc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a80e85e1eba4076438c72cd986fde40e8"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::trunc </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>a</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the truncatation of the specified variable (C99). </p>
+<p>See <a class="el" href="namespacestan_1_1math.html#a79abc1d4f747b3c26c07b2b1e4871603">trunc()</a> for the double-based version.</p>
+<p>The derivative is zero everywhere but at integer values, so for convenience the derivative is defined to be everywhere zero,</p>
+<p><img class="formulaInl" alt="$\frac{d}{dx} \mbox{trunc}(x) = 0$" src="form_446.png"/>.</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{trunc}(x) = \begin{cases} \lfloor x \rfloor &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_447.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{\partial\, \mbox{trunc}(x)}{\partial x} = \begin{cases} 0 &amp; \mbox{if } -\infty\leq x\leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_448.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">a</td><td>Specified variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Truncation of the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2trunc_8hpp_source.html#l00060">60</a> of file <a class="el" href="rev_2scal_2fun_2trunc_8hpp_source.html">trunc.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad9440f04c389ecf55094919dd4a29561"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename TU &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T, TU&gt;::type stan::math::ub_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const TU&#160;</td>
+          <td class="paramname"><em>ub</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the upper-bounded value for the specified unconstrained scalar and upper bound. </p>
+<p>The transform is</p>
+<p><img class="formulaInl" alt="$f(x) = U - \exp(x)$" src="form_188.png"/></p>
+<p>where <img class="formulaInl" alt="$U$" src="form_147.png"/> is the upper bound.</p>
+<p>If the upper bound is positive infinity, this function reduces to <code>identity_constrain(x)</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free scalar. </td></tr>
+    <tr><td class="paramname">ub</td><td>Upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Transformed scalar with specified upper bound. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">TU</td><td>Type of upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ub__constrain_8hpp_source.html#l00037">37</a> of file <a class="el" href="ub__constrain_8hpp_source.html">ub_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0e07e6f25d9cc21ce1467d0d74913a74"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename TU &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T, TU&gt;::type stan::math::ub_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const TU&#160;</td>
+          <td class="paramname"><em>ub</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the upper-bounded value for the specified unconstrained scalar and upper bound and increment the specified log probability reference with the log absolute Jacobian determinant of the transform. </p>
+<p>The transform is as specified for <code>ub_constrain(T, double)</code>. The log absolute Jacobian determinant is</p>
+<p><img class="formulaInl" alt="$ \log | \frac{d}{dx} -\mbox{exp}(x) + U | = \log | -\mbox{exp}(x) + 0 | = x$" src="form_189.png"/>.</p>
+<p>If the upper bound is positive infinity, this function reduces to <code>identity_constrain(x, lp)</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Free scalar. </td></tr>
+    <tr><td class="paramname">ub</td><td>Upper bound. </td></tr>
+    <tr><td class="paramname">lp</td><td>Log probability reference. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Transformed scalar with specified upper bound. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">TU</td><td>Type of upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ub__constrain_8hpp_source.html#l00070">70</a> of file <a class="el" href="ub__constrain_8hpp_source.html">ub_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac11bdd8c7f6eed39bbac5a663c8a81bc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename TU &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T, TU&gt;::type stan::math::ub_free </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const TU&#160;</td>
+          <td class="paramname"><em>ub</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the free scalar that corresponds to the specified upper-bounded value with respect to the specified upper bound. </p>
+<p>The transform is the reverse of the <code>ub_constrain(T, double)</code> transform,</p>
+<p><img class="formulaInl" alt="$f^{-1}(y) = \log -(y - U)$" src="form_190.png"/></p>
+<p>where <img class="formulaInl" alt="$U$" src="form_147.png"/> is the upper bound.</p>
+<p>If the upper bound is positive infinity, this function reduces to <code>identity_free(y)</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>Upper-bounded scalar. </td></tr>
+    <tr><td class="paramname">ub</td><td>Upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Free scalar corresponding to upper-bounded scalar. </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">TU</td><td>Type of upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td>if y is greater than the upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="ub__free_8hpp_source.html#l00039">39</a> of file <a class="el" href="ub__free_8hpp_source.html">ub_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5e2b8fa3c8f27cf5fe06e35971810d52"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_low , typename T_high &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_low, T_high&gt;::type stan::math::uniform_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_low &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_high &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="uniform__ccdf__log_8hpp_source.html#l00025">25</a> of file <a class="el" href="uniform__ccdf__log_8hpp_source.html">uniform_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa15c5027f6cc08a719ce42c82f42e8ab"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_low , typename T_high &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_low, T_high&gt;::type stan::math::uniform_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_low &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_high &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="uniform__cdf_8hpp_source.html#l00024">24</a> of file <a class="el" href="uniform__cdf_8hpp_source.html">uniform_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8f377bbfcb2c65d7c9b22f2a007cdc71"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_low , typename T_high &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_low, T_high&gt;::type stan::math::uniform_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_low &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_high &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="uniform__cdf__log_8hpp_source.html#l00025">25</a> of file <a class="el" href="uniform__cdf__log_8hpp_source.html">uniform_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae39a215713172d13a104cf33d6186c65"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_low , typename T_high &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_low, T_high&gt;::type stan::math::uniform_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_low &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_high &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of a uniform density for the given y, lower, and upper bound. </p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} y &amp;\sim&amp; \mbox{\sf{U}}(\alpha, \beta) \\ \log (p (y \, |\, \alpha, \beta)) &amp;=&amp; \log \left( \frac{1}{\beta-\alpha} \right) \\ &amp;=&amp; \log (1) - \log (\beta - \alpha) \\ &amp;=&amp; -\log (\beta - \alpha) \\ &amp; &amp; \mathrm{ where } \; y \in [\alpha, \beta], \log(0) \; \mathrm{otherwise} \end{eqnarray*}" src="form_200.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variable. </td></tr>
+    <tr><td class="paramname">alpha</td><td>Lower bound. </td></tr>
+    <tr><td class="paramname">beta</td><td>Upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::invalid_argument</td><td>if the lower bound is greater than or equal to the lower bound </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_low</td><td>Type of lower bound. </td></tr>
+    <tr><td class="paramname">T_high</td><td>Type of upper bound. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="uniform__log_8hpp_source.html#l00048">48</a> of file <a class="el" href="uniform__log_8hpp_source.html">uniform_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9c32b2aba8ca5e5eb4ebe76fd1f9a832"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_low , typename T_high &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_low, T_high&gt;::type stan::math::uniform_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_low &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_high &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="uniform__log_8hpp_source.html#l00126">126</a> of file <a class="el" href="uniform__log_8hpp_source.html">uniform_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a10447d2a77f0fdf32e0adce2546cd3cd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::uniform_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>beta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="uniform__rng_8hpp_source.html#l00021">21</a> of file <a class="el" href="uniform__rng_8hpp_source.html">uniform_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3a54fcd529b19a23342fda465553366c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::unit_vector_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00020">20</a> of file <a class="el" href="fwd_2mat_2fun_2unit__vector__constrain_8hpp_source.html">unit_vector_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a59d4d26aa10215a1219dbf615e5f4736"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, R, C&gt; stan::math::unit_vector_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the unit length vector corresponding to the free vector y. </p>
+<p>See <a href="https://en.wikipedia.org/wiki/N-sphere#Generating_random_points">https://en.wikipedia.org/wiki/N-sphere#Generating_random_points</a></p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>vector of K unrestricted variables </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Unit length vector of dimension K </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00025">25</a> of file <a class="el" href="prim_2mat_2fun_2unit__vector__constrain_8hpp_source.html">unit_vector_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab02536354716bc493098010f66db1209"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, R, C&gt; stan::math::unit_vector_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the unit length vector corresponding to the free vector y. </p>
+<p>See <a href="https://en.wikipedia.org/wiki/N-sphere#Generating_random_points">https://en.wikipedia.org/wiki/N-sphere#Generating_random_points</a></p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>vector of K unrestricted variables </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Unit length vector of dimension K </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">lp</td><td>Log probability reference to increment. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00045">45</a> of file <a class="el" href="prim_2mat_2fun_2unit__vector__constrain_8hpp_source.html">unit_vector_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a13f6f934d30a809bb2506dd67d8bb22b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;, R, C&gt; stan::math::unit_vector_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt;, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00054">54</a> of file <a class="el" href="fwd_2mat_2fun_2unit__vector__constrain_8hpp_source.html">unit_vector_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad36aabce74e96042ee59caa9189e9a92"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C&gt; stan::math::unit_vector_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the unit length vector corresponding to the free vector y. </p>
+<p>See <a href="https://en.wikipedia.org/wiki/N-sphere#Generating_random_points">https://en.wikipedia.org/wiki/N-sphere#Generating_random_points</a></p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>vector of K unrestricted variables </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Unit length vector of dimension K </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00064">64</a> of file <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html">unit_vector_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aee50515a7b08b2d38f50c96c03b4f42a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;<a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C&gt; stan::math::unit_vector_constrain </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>lp</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the unit length vector corresponding to the free vector y. </p>
+<p>See <a href="https://en.wikipedia.org/wiki/N-sphere#Generating_random_points">https://en.wikipedia.org/wiki/N-sphere#Generating_random_points</a></p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>vector of K unrestricted variables </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Unit length vector of dimension K </dd></dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">lp</td><td>Log probability reference to increment. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00112">112</a> of file <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html">unit_vector_constrain.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a65fb60ad466e375f68798ff25881e378"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; stan::math::unit_vector_free </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Transformation of a unit length vector to a "free" vector However, we are just fixing the unidentified radius to 1. </p>
+<p>Thus, the transformation is just the identity</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>unit vector of dimension K </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Unit vector of dimension K considered "free" </dd></dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="unit__vector__free_8hpp_source.html#l00024">24</a> of file <a class="el" href="unit__vector__free_8hpp_source.html">unit_vector_free.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abb591fca3d88d2a5d587ce6172b62bf4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::validate_non_negative_index </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>var_name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>expr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>val</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="validate__non__negative__index_8hpp_source.html#l00012">12</a> of file <a class="el" href="validate__non__negative__index_8hpp_source.html">validate_non_negative_index.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a541f8f9d951f4d48c457dcecad5e326b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T stan::math::value_of </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of the specified variable. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2scal_2fun_2value__of_8hpp_source.html">value_of.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1c5a329d06bfc8d164f9f4df523814cc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;typename <a class="el" href="structstan_1_1math_1_1child__type.html">child_type</a>&lt;T&gt;::type&gt; stan::math::value_of </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Convert a std::vector of type T to a std::vector of <a class="el" href="structstan_1_1math_1_1child__type.html#a0d005efbf96c2a27150943452b30a6f9">child_type&lt;T&gt;::type</a>. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type in std::vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>std::vector to be converted </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>std::vector of values </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2fun_2value__of_8hpp_source.html#l00022">22</a> of file <a class="el" href="prim_2arr_2fun_2value__of_8hpp_source.html">value_of.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0a759dd2a7ff07dbf11f60d9e1352bb3"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::value_of </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of the specified variable. </p>
+<p>This function is used internally by auto-dif functions along with <code><a class="el" href="namespacestan_1_1math.html#a73087d72fd937f4be66684bd2613ae6e" title="Return the value of the specified scalar argument converted to a double value. ">stan::math::value_of(T x)</a></code> to extract the <code>double</code> value of either a scalar or an auto-dif variable. This function will be called when the argument is a <code><a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a></code> even if the function is not referred to by namespace because of argument-dependent lookup.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html#l00022">22</a> of file <a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html">value_of.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a73087d72fd937f4be66684bd2613ae6e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::value_of </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of the specified scalar argument converted to a double value. </p>
+<p>See the <code><a class="el" href="namespacestan_1_1math.html#a24337e3af682981f05d1cc022e675891" title="Return the primitive value of the specified forward-mode autodiff variable. ">stan::math::primitive_value</a></code> function to extract values without casting to <code>double</code>.</p>
+<p>This function is meant to cover the primitive types. For types requiring pass-by-reference, this template function should be specialized.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Scalar to convert to double. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of scalar cast to a double. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html#l00024">24</a> of file <a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">value_of.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad6ac4b37c5723681111ef69072288fd4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1math_1_1child__type.html">child_type</a>&lt;T&gt;::type, R, C&gt; stan::math::value_of </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>M</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Convert a matrix of type T to a matrix of doubles. </p>
+<p>T must implement value_of. See test/math/fwd/mat/fun/value_of.cpp for fvar and var usage.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type in matrix </td></tr>
+    <tr><td class="paramname">R</td><td>Rows of matrix </td></tr>
+    <tr><td class="paramname">C</td><td>Columns of matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">M</td><td>Matrix to be converted </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Matrix of values </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2value__of_8hpp_source.html#l00025">25</a> of file <a class="el" href="prim_2mat_2fun_2value__of_8hpp_source.html">value_of.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8f36ce063f22b2245ee7a6e3fcd013f9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;double&gt; stan::math::value_of </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified argument. </p>
+<p>See <code><a class="el" href="namespacestan_1_1math.html#a73087d72fd937f4be66684bd2613ae6e" title="Return the value of the specified scalar argument converted to a double value. ">value_of(T)</a></code> for a polymorphic implementation using static casts.</p>
+<p>This inline pass-through no-op should be compiled away.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified std::vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Specified std::vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2fun_2value__of_8hpp_source.html#l00042">42</a> of file <a class="el" href="prim_2arr_2fun_2value__of_8hpp_source.html">value_of.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a13a14efcb8bac003a3558da2beea58f4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, R, C&gt; stan::math::value_of </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified argument. </p>
+<p>See <code><a class="el" href="namespacestan_1_1math.html#a73087d72fd937f4be66684bd2613ae6e" title="Return the value of the specified scalar argument converted to a double value. ">value_of(T)</a></code> for a polymorphic implementation using static casts.</p>
+<p>This inline pass-through no-op should be compiled away.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Specified matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2value__of_8hpp_source.html#l00047">47</a> of file <a class="el" href="prim_2mat_2fun_2value__of_8hpp_source.html">value_of.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2d7774df98215b7d113075019d74ebbf"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double <a class="el" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>&lt; double &gt; </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified argument. </p>
+<p>See <code><a class="el" href="namespacestan_1_1math.html#a73087d72fd937f4be66684bd2613ae6e" title="Return the value of the specified scalar argument converted to a double value. ">value_of(T)</a></code> for a polymorphic implementation using static casts.</p>
+<p>This inline pass-through no-op should be compiled away.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Specified value. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html#l00040">40</a> of file <a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">value_of.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab481d22f60e4cb93d629ac5d9f43bb00"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::value_of_rec </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">var</a> &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of the specified variable. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2value__of__rec_8hpp_source.html#l00015">15</a> of file <a class="el" href="rev_2scal_2fun_2value__of__rec_8hpp_source.html">value_of_rec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a00b8cbdec7c35e7c93b0f47dae3c5498"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::value_of_rec </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of the specified variable. </p>
+<p>T must implement value_of_rec.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2fun_2value__of__rec_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2scal_2fun_2value__of__rec_8hpp_source.html">value_of_rec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5a627a700920f5b1e45140b39da256c8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;double&gt; stan::math::value_of_rec </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Convert a std::vector of type T to a std::vector of doubles. </p>
+<p>T must implement value_of_rec. See test/math/fwd/mat/fun/value_of_rec.cpp for fvar and var usage.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type in std::vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>std::vector to be converted </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>std::vector of values </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2fun_2value__of__rec_8hpp_source.html#l00023">23</a> of file <a class="el" href="prim_2arr_2fun_2value__of__rec_8hpp_source.html">value_of_rec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7a99d6e8d6986fffb421e859770560bc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::value_of_rec </td>
+          <td>(</td>
+          <td class="paramtype">const T&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of the specified scalar argument converted to a double value. </p>
+<p>See the <code><a class="el" href="namespacestan_1_1math.html#a24337e3af682981f05d1cc022e675891" title="Return the primitive value of the specified forward-mode autodiff variable. ">stan::math::primitive_value</a></code> function to extract values without casting to <code>double</code>.</p>
+<p>This function is meant to cover the primitive types. For types requiring pass-by-reference, this template function should be specialized.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Scalar to convert to double. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Value of scalar cast to a double. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2value__of__rec_8hpp_source.html#l00024">24</a> of file <a class="el" href="prim_2scal_2fun_2value__of__rec_8hpp_source.html">value_of_rec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae6b0847f7611d8f396a1f4e112200185"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, R, C&gt; stan::math::value_of_rec </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>M</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Convert a matrix of type T to a matrix of doubles. </p>
+<p>T must implement value_of_rec. See test/unit/math/fwd/mat/fun/value_of_test.cpp for fvar and var usage.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Scalar type in matrix </td></tr>
+    <tr><td class="paramname">R</td><td>Rows of matrix </td></tr>
+    <tr><td class="paramname">C</td><td>Columns of matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">M</td><td>Matrix to be converted </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Matrix of values </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2value__of__rec_8hpp_source.html#l00024">24</a> of file <a class="el" href="prim_2mat_2fun_2value__of__rec_8hpp_source.html">value_of_rec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adbade9ca6c7c41a1d62102d9c86135d8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;double&gt; stan::math::value_of_rec </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified argument. </p>
+<p>See <code><a class="el" href="namespacestan_1_1math.html#a7a99d6e8d6986fffb421e859770560bc" title="Return the value of the specified scalar argument converted to a double value. ">value_of_rec(T)</a></code> for a polymorphic implementation using static casts.</p>
+<p>This inline pass-through no-op should be compiled away.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified std::vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Specified std::vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2fun_2value__of__rec_8hpp_source.html#l00043">43</a> of file <a class="el" href="prim_2arr_2fun_2value__of__rec_8hpp_source.html">value_of_rec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a87ad8ec419583e8d9ed0c8ab4c5094bd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, R, C&gt; stan::math::value_of_rec </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified argument. </p>
+<p>See <code><a class="el" href="namespacestan_1_1math.html#a7a99d6e8d6986fffb421e859770560bc" title="Return the value of the specified scalar argument converted to a double value. ">value_of_rec(T)</a></code> for a polymorphic implementation using static casts.</p>
+<p>This inline pass-through no-op should be compiled away.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Specified matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2value__of__rec_8hpp_source.html#l00046">46</a> of file <a class="el" href="prim_2mat_2fun_2value__of__rec_8hpp_source.html">value_of_rec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7bb47fffd6ec0b1864d5e8bf0b99cf55"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double <a class="el" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">stan::math::value_of_rec</a>&lt; double &gt; </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the specified argument. </p>
+<p>See <code><a class="el" href="namespacestan_1_1math.html#a73087d72fd937f4be66684bd2613ae6e" title="Return the value of the specified scalar argument converted to a double value. ">value_of(T)</a></code> for a polymorphic implementation using static casts.</p>
+<p>This inline pass-through no-op should be compiled away.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Specified value. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Specified value. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2fun_2value__of__rec_8hpp_source.html#l00040">40</a> of file <a class="el" href="prim_2scal_2fun_2value__of__rec_8hpp_source.html">value_of_rec.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa433ac2fc47bbd40a6d87f62574dff85"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::variance </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the sample variance (divide by length - 1) of the coefficients in the specified standard vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">v</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sample variance of vector. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if the size of the vector is less than 1. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2variance_8hpp_source.html#l00024">24</a> of file <a class="el" href="prim_2mat_2fun_2variance_8hpp_source.html">variance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1f055da8754c2215aac70d7787692f54"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T&gt;::type stan::math::variance </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the sample variance (divide by length - 1) of the coefficients in the specified column vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">m</td><td>Specified vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Sample variance of vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2fun_2variance_8hpp_source.html#l00046">46</a> of file <a class="el" href="prim_2mat_2fun_2variance_8hpp_source.html">variance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac0400489c86a0f208ed17371ab97254f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::variance </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return the sample variance of the specified standard vector. </p>
+<p>Raise domain error if size is not greater than zero.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">v</td><td>a vector </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>sample variance of specified vector </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2variance_8hpp_source.html#l00052">52</a> of file <a class="el" href="rev_2mat_2fun_2variance_8hpp_source.html">variance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4c5dc6176d49564ace17029793589421"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">var</a> stan::math::variance </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; <a class="el" href="classstan_1_1math_1_1var.html">var</a>, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>m</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2variance_8hpp_source.html#l00069">69</a> of file <a class="el" href="rev_2mat_2fun_2variance_8hpp_source.html">variance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3e7a36cd810a693a04ef145882894754"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::von_mises_log </td>
+          <td>(</td>
+          <td class="paramtype">T_y const &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T_loc const &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T_scale const &amp;&#160;</td>
+          <td class="paramname"><em>kappa</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="von__mises__log_8hpp_source.html#l00027">27</a> of file <a class="el" href="von__mises__log_8hpp_source.html">von_mises_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8a06353ba5a996ebfc43ec69decf9fb9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_loc , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_loc, T_scale&gt;::type stan::math::von_mises_log </td>
+          <td>(</td>
+          <td class="paramtype">T_y const &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T_loc const &amp;&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T_scale const &amp;&#160;</td>
+          <td class="paramname"><em>kappa</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="von__mises__log_8hpp_source.html#l00135">135</a> of file <a class="el" href="von__mises__log_8hpp_source.html">von_mises_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a71998db3e6cfebf31463452f99878b99"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::von_mises_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>mu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>kappa</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="von__mises__rng_8hpp_source.html#l00031">31</a> of file <a class="el" href="von__mises__rng_8hpp_source.html">von_mises_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa0033ce06f5f7b1109a42eee2579955a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::weibull_ccdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="weibull__ccdf__log_8hpp_source.html#l00029">29</a> of file <a class="el" href="weibull__ccdf__log_8hpp_source.html">weibull_ccdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae943a8f5c87e946a45a4f3b62f99b187"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::weibull_cdf </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="weibull__cdf_8hpp_source.html#l00029">29</a> of file <a class="el" href="weibull__cdf_8hpp_source.html">weibull_cdf.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae94334459868c125f2a6504b69f46158"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::weibull_cdf_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="weibull__cdf__log_8hpp_source.html#l00029">29</a> of file <a class="el" href="weibull__cdf__log_8hpp_source.html">weibull_cdf_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4f3a52747636627895374aa555279a92"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_shape , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::weibull_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="weibull__log_8hpp_source.html#l00032">32</a> of file <a class="el" href="weibull__log_8hpp_source.html">weibull_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a76561164f1ff9ed6e70bf4a75e6f8ae2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_shape , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_shape, T_scale&gt;::type stan::math::weibull_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_shape &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_scale &amp;&#160;</td>
+          <td class="paramname"><em>sigma</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="weibull__log_8hpp_source.html#l00143">143</a> of file <a class="el" href="weibull__log_8hpp_source.html">weibull_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afd376b3fe82077f0565de1fbef6b4202"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">double stan::math::weibull_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>sigma</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="weibull__rng_8hpp_source.html#l00023">23</a> of file <a class="el" href="weibull__rng_8hpp_source.html">weibull_rng.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae7a28135e8fe64782357d52062380796"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_alpha , typename T_tau , typename T_beta , typename T_delta &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_alpha, T_tau, T_beta, T_delta&gt;::type stan::math::wiener_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_alpha &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_tau &amp;&#160;</td>
+          <td class="paramname"><em>tau</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_beta &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_delta &amp;&#160;</td>
+          <td class="paramname"><em>delta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of the first passage time density function for a (Wiener) drift diffusion model for the given <img class="formulaInl" alt="$y$" src="form_201.png"/>, boundary separation <img class="formulaInl" alt="$\alpha$" src="form_202.png"/>, nondecision time <img class="formulaInl" alt="$\tau$" src="form_203.png"/>, relative bias <img class="formulaInl" alt="$\beta$" src="form_204.png"/>, and drift rate <img class="formulaInl" alt="$\delta$" src="form_205.png"/>. </p>
+<p><img class="formulaInl" alt="$\alpha$" src="form_202.png"/> and <img class="formulaInl" alt="$\tau$" src="form_203.png"/> must be greater than 0, and <img class="formulaInl" alt="$\beta$" src="form_204.png"/> must be between 0 and 1. <img class="formulaInl" alt="$y$" src="form_201.png"/> should contain reaction times in seconds (strictly positive) with upper-boundary responses.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>A scalar variate. </td></tr>
+    <tr><td class="paramname">alpha</td><td>The boundary separation. </td></tr>
+    <tr><td class="paramname">tau</td><td>The nondecision time. </td></tr>
+    <tr><td class="paramname">beta</td><td>The relative bias. </td></tr>
+    <tr><td class="paramname">delta</td><td>The drift rate. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the Wiener first passage time density of the specified arguments. </dd></dl>
+
+<p>Definition at line <a class="el" href="wiener__log_8hpp_source.html#l00072">72</a> of file <a class="el" href="wiener__log_8hpp_source.html">wiener_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a51ee0070ef7fdeac83b11eae40b1646a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_alpha , typename T_tau , typename T_beta , typename T_delta &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_alpha, T_tau, T_beta, T_delta&gt;::type stan::math::wiener_log </td>
+          <td>(</td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_alpha &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_tau &amp;&#160;</td>
+          <td class="paramname"><em>tau</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_beta &amp;&#160;</td>
+          <td class="paramname"><em>beta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_delta &amp;&#160;</td>
+          <td class="paramname"><em>delta</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="wiener__log_8hpp_source.html#l00225">225</a> of file <a class="el" href="wiener__log_8hpp_source.html">wiener_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a91db893054b635d18034d06c161365a1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T_y , typename T_dof , typename T_scale &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_dof, T_scale&gt;::type stan::math::wishart_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>W</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_scale, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>S</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The log of the Wishart density for the given W, degrees of freedom, and scale matrix. </p>
+<p>The scale matrix, S, must be k x k, symmetric, and semi-positive definite. Dimension, k, is implicit. nu must be greater than k-1</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\begin{eqnarray*} W &amp;\sim&amp; \mbox{\sf{Wishart}}_{\nu} (S) \\ \log (p (W \, |\, \nu, S) ) &amp;=&amp; \log \left( \left(2^{\nu k/2} \pi^{k (k-1) /4} \prod_{i=1}^k{\Gamma (\frac{\nu + 1 - i}{2})} \right)^{-1} \times \left| S \right|^{-\nu/2} \left| W \right|^{(\nu - k - 1) / 2} \times \exp (-\frac{1}{2} \mbox{tr} (S^{-1} W)) \right) \\ &amp;=&amp; -\frac{\nu k}{2}\log(2) - \frac{k (k-1)}{4} \log(\pi) - \sum_{i=1}^{k}{\log (\Gamma (\frac{\nu+1-i}{2}))} -\frac{\nu}{2} \log(\det(S)) + \frac{\nu-k-1}{2}\log (\det(W)) - \frac{1}{2} \mbox{tr} (S^{-1}W) \end{eqnarray*}" src="form_25.png"/>
+</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">W</td><td>A scalar matrix </td></tr>
+    <tr><td class="paramname">nu</td><td>Degrees of freedom </td></tr>
+    <tr><td class="paramname">S</td><td>The scale matrix </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>The log of the Wishart density at W given nu and S. </dd></dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">std::domain_error</td><td>if nu is not greater than k-1 </td></tr>
+    <tr><td class="paramname">std::domain_error</td><td>if S is not square, not symmetric, or not semi-positive definite. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_y</td><td>Type of scalar. </td></tr>
+    <tr><td class="paramname">T_dof</td><td>Type of degrees of freedom. </td></tr>
+    <tr><td class="paramname">T_scale</td><td>Type of scale. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="wishart__log_8hpp_source.html#l00058">58</a> of file <a class="el" href="wishart__log_8hpp_source.html">wishart_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a951a06ccbb12ca44a08544000372dbf1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_dof , typename T_scale &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::math::tools::promote_args&lt;T_y, T_dof, T_scale&gt;::type stan::math::wishart_log </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>W</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_dof &amp;&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; T_scale, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>S</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="wishart__log_8hpp_source.html#l00127">127</a> of file <a class="el" href="wishart__log_8hpp_source.html">wishart_log.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7025b4916694aa80aa0d758a11647b5d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;class RNG &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, Eigen::Dynamic, Eigen::Dynamic&gt; stan::math::wishart_rng </td>
+          <td>(</td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>nu</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;&#160;</td>
+          <td class="paramname"><em>S</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">RNG &amp;&#160;</td>
+          <td class="paramname"><em>rng</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="wishart__rng_8hpp_source.html#l00029">29</a> of file <a class="el" href="wishart__rng_8hpp_source.html">wishart_rng.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aece739c5a2672028f0c7848045b89f08"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::CONSTRAINT_TOLERANCE = 1E-8</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The tolerance for checking arithmetic bounds In rank and in simplexes. </p>
+<p>The default value is <code>1E-8</code>. </p>
+
+<p>Definition at line <a class="el" href="constraint__tolerance_8hpp_source.html#l00011">11</a> of file <a class="el" href="constraint__tolerance_8hpp_source.html">constraint_tolerance.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a66f94e47c6dc073bbd3929903b4431fe"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::E = boost::math::constants::e&lt;double&gt;()</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The base of the natural logarithm, <img class="formulaInl" alt="$ e $" src="form_45.png"/>. </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00015">15</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5ffd625c2083751d7ccabb7dbe39cbe0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::EPSILON = std::numeric_limits&lt;double&gt;::epsilon()</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Smallest positive value. </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00061">61</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7f2ac8ebf3095e9934715bb34f0669b3"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::INFTY = std::numeric_limits&lt;double&gt;::infinity()</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Positive infinity. </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00044">44</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a5491e346d5a812af988f8de4a5948c88"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::INV_SQRT_2 = 1.0 / <a class="el" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The value of 1 over the square root of 2, <img class="formulaInl" alt="$ 1 / \sqrt{2} $" src="form_47.png"/>. </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00027">27</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a44d54686aa26009d0e9101be42afd877"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::INV_SQRT_TWO_PI = 1.0 / std::sqrt(2.0 * boost::math::constants::pi&lt;double&gt;())</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00166">166</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab773773e2db53015eb48ab1730816fb5"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::LOG_10 = std::log(10.0)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The natural logarithm of 10, <img class="formulaInl" alt="$ \log 10 $" src="form_49.png"/>. </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00039">39</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a43fb48f0a7f26bc60c1dfb572283b149"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::LOG_2 = std::log(2.0)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The natural logarithm of 2, <img class="formulaInl" alt="$ \log 2 $" src="form_48.png"/>. </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00033">33</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a84525339d1870944d63c1cce6caa1af1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::LOG_HALF = std::log(0.5)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00179">179</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af6dd9cf6abfd8930528d3635890982b1"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::LOG_PI = std::log(boost::math::constants::pi&lt;double&gt;())</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00170">170</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a177764626d2378e0d7bdfb26aac187b6"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::LOG_PI_OVER_FOUR = std::log(boost::math::constants::pi&lt;double&gt;()) / 4.0</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Log pi divided by 4 <img class="formulaInl" alt="$ \log \pi / 4 $" src="form_50.png"/>. </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00079">79</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab836723c882918b6263042bdefa3c0d7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::LOG_SQRT_PI = std::log(<a class="el" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">SQRT_PI</a>)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00173">173</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad7a5d92de812b4b632801cf8e32dbe7d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::LOG_TWO = std::log(2.0)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00177">177</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a938e5d349b0ffdfdae9674f9dd4dbebe"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::LOG_TWO_PI = <a class="el" href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">LOG_TWO</a> + <a class="el" href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">LOG_PI</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00193">193</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acd99e429af3a997976a017d6a580e3f9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::LOG_ZERO = std::log(0.0)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00175">175</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8a063d6b0347cc193b69270211e8aadd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::string stan::math::MAJOR_VERSION = <a class="el" href="version_8hpp.html#a0c96447c79362b9df7ef76867a44d3be">STAN_STRING</a>(<a class="el" href="version_8hpp.html#a64f03843f4437f40d083b7bc1a1206e1">STAN_MATH_MAJOR</a>)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Major version number for Stan math library. </p>
+
+<p>Definition at line <a class="el" href="version_8hpp_source.html#l00022">22</a> of file <a class="el" href="version_8hpp_source.html">version.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a60295ca22b8701af9a3ccf3b607231f4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::string stan::math::MINOR_VERSION = <a class="el" href="version_8hpp.html#a0c96447c79362b9df7ef76867a44d3be">STAN_STRING</a>(<a class="el" href="version_8hpp.html#afae12a425638d2799b253d3eb268190c">STAN_MATH_MINOR</a>)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Minor version number for Stan math library. </p>
+
+<p>Definition at line <a class="el" href="version_8hpp_source.html#l00025">25</a> of file <a class="el" href="version_8hpp_source.html">version.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0f964e25c3ad3515549ead08428ff7cf"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::NEG_LOG_PI = - <a class="el" href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">LOG_PI</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00186">186</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="afb4a282e2196987e10d2bb65f12ec55a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::NEG_LOG_SQRT_PI = -std::log(std::sqrt(boost::math::constants::pi&lt;double&gt;()))</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00189">189</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a59f7f156224f9e60c2fb3e99034212eb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::NEG_LOG_SQRT_TWO_PI = - std::log(std::sqrt(2.0 * boost::math::constants::pi&lt;double&gt;()))</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00184">184</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa546788809cd7f0be4a9872bc8009325"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::NEG_LOG_TWO = - <a class="el" href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">LOG_TWO</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00181">181</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9b0bc03717322aa20ea2be9d6e488738"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::NEG_LOG_TWO_OVER_TWO = - <a class="el" href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">LOG_TWO</a> / 2.0</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00191">191</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2fc867325cdad6b9dcc2e7443ddf5956"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::NEG_LOG_TWO_PI = - <a class="el" href="namespacestan_1_1math.html#a938e5d349b0ffdfdae9674f9dd4dbebe">LOG_TWO_PI</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00195">195</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a344504ea0c1f4f956c85ea8027a07ba9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::NEG_TWO_OVER_SQRT_PI = -<a class="el" href="namespacestan_1_1math.html#a935530f53a026ebb80fcd9006059e9c8">TWO_OVER_SQRT_PI</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00163">163</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1dcea3a9752d079c9f972040b873b704"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::NEGATIVE_EPSILON = - std::numeric_limits&lt;double&gt;::epsilon()</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Largest negative value (i.e., smallest absolute value). </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00067">67</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa37d0f67f02e0a0b5797ed9f4df56bfb"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::NEGATIVE_INFTY = - std::numeric_limits&lt;double&gt;::infinity()</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Negative infinity. </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00050">50</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9cf147700a2e38335abc618b2c913b8a"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::NOT_A_NUMBER = std::numeric_limits&lt;double&gt;::quiet_NaN()</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>(Quiet) not-a-number value. </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00056">56</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad4c620fffa8fa7ddd68ffb46fb64667b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::string stan::math::PATCH_VERSION = <a class="el" href="version_8hpp.html#a0c96447c79362b9df7ef76867a44d3be">STAN_STRING</a>(<a class="el" href="version_8hpp.html#aacfcdd8a078a3dc181112e6d04b82f49">STAN_MATH_PATCH</a>)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Patch version for Stan math library. </p>
+
+<p>Definition at line <a class="el" href="version_8hpp_source.html#l00028">28</a> of file <a class="el" href="version_8hpp_source.html">version.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4ea938c86917d89bbd13e4edcbecb1be"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::POISSON_MAX_RATE = std::pow(2.0, 30)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Largest rate parameter allowed in Poisson RNG. </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00072">72</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a491d6e40aaa2a3e205ea6708dc3c75dd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::SQRT_2 = std::sqrt(2.0)</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The value of the square root of 2, <img class="formulaInl" alt="$ \sqrt{2} $" src="form_46.png"/>. </p>
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00021">21</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa628c5af5a85d53472f0126fcca44524"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::SQRT_2_TIMES_SQRT_PI = <a class="el" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a> * <a class="el" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">SQRT_PI</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00158">158</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3e31fd76fde6e97d14dfb26c5f4ab8d0"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::SQRT_PI = std::sqrt(boost::math::constants::pi&lt;double&gt;())</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00156">156</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a935530f53a026ebb80fcd9006059e9c8"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double stan::math::TWO_OVER_SQRT_PI = 2.0 / <a class="el" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">SQRT_PI</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="constants_8hpp_source.html#l00161">161</a> of file <a class="el" href="constants_8hpp_source.html">constants.hpp</a>.</p>
+
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">numeric_limits&lt; stan::math::var &gt;</a></td></tr>
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+<p>Checks if the given number is infinite. </p>
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+<p>Checks if the given number is NaN. </p>
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+
+<p>Definition at line <a class="el" href="std__isnan_8hpp_source.html#l00018">18</a> of file <a class="el" href="std__isnan_8hpp_source.html">std_isnan.hpp</a>.</p>
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+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_ccdf_log.hpp</a>&gt;</code><br />
+</div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a63d35a349ee49712178c19dde27fcc5d"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_location , typename T_precision &gt; </td></tr>
+<tr class="memitem:a63d35a349ee49712178c19dde27fcc5d"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_location, T_precision &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a63d35a349ee49712178c19dde27fcc5d">stan::math::neg_binomial_2_ccdf_log</a> (const T_n &amp;n, const T_location &amp;mu, const T_precision &amp;phi)</td></tr>
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+<div class="title">neg_binomial_2_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="neg__binomial__2__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="neg__binomial__ccdf__log_8hpp.html">stan/math/prim/scal/prob/neg_binomial_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="comment">// Temporary neg_binomial_2_ccdf implementation that</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="comment">// transforms the input parameters and calls neg_binomial_ccdf</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_location, <span class="keyword">typename</span> T_precision&gt;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_location, T_precision&gt;::type</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a63d35a349ee49712178c19dde27fcc5d">   18</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a63d35a349ee49712178c19dde27fcc5d">neg_binomial_2_ccdf_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                            <span class="keyword">const</span> T_location&amp; mu,</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                            <span class="keyword">const</span> T_precision&amp; phi) {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(phi)))</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::neg_binomial_2_cdf&quot;</span>);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Precision parameter&quot;</span>, phi);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, n);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                             <span class="stringliteral">&quot;Precision Parameter&quot;</span>, phi);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_location&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_precision&gt;</a> phi_vec(phi);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordtype">size_t</span> size_beta = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(mu, phi);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, typename return_type&lt;T_location, T_precision&gt;::type</a>,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                    T_location, T_precision&gt; beta_vec(size_beta);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; size_beta; ++i)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        beta_vec[i] = phi_vec[i] / mu_vec[i];</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a176323fd45f7f70cf9fa801310c3c614">neg_binomial_ccdf_log</a>(n, phi, beta_vec.<a class="code" href="classstan_1_1_vector_builder.html#a237d449ccafb108de8d416001b6e32e4">data</a>());</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  }</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;}</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="inc__beta__ddb_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_ddb.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__ddz_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_ddz.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__dda_8hpp.html">stan/math/prim/scal/fun/inc_beta_dda.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__ddb_8hpp.html">stan/math/prim/scal/fun/inc_beta_ddb.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__ddz_8hpp.html">stan/math/prim/scal/fun/inc_beta_ddz.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_location,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;              <span class="keyword">typename</span> T_precision&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_location, T_precision&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6bc7b5ee1f4534f7c6eb509f08c1dd8b">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6bc7b5ee1f4534f7c6eb509f08c1dd8b">neg_binomial_2_cdf</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                       <span class="keyword">const</span> T_location&amp; mu,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                       <span class="keyword">const</span> T_precision&amp; phi) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::prob::neg_binomial_2_cdf&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_n, T_location,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                                                  T_precision&gt;::type</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(phi)))</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keywordflow">return</span> P;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Precision parameter&quot;</span>, phi);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, n);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Precision Parameter&quot;</span>, phi);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// Wrap arguments in vector views</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_location&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_precision&gt;</a> phi_vec(phi);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, mu, phi);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a2412f96d2114b4c15efb1ddbddaef35b">stan::math::inc_beta_ddz</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">stan::math::inc_beta_dda</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_location, T_precision&gt;</a></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        operands_and_partials(mu, phi);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// Cache a few expensive function calls if  phi is a parameter</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_precision&gt;::value</a>,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                    T_partials_return, T_precision&gt;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        digamma_phi_vec(stan::length(phi));</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_precision&gt;::value</a>,</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                    T_partials_return, T_precision&gt;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        digamma_sum_vec(stan::length(phi));</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_precision&gt;::value</a>) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(phi); i++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="keyword">const</span> T_partials_return phi_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(phi_vec[i]);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          digamma_phi_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(phi_dbl);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          digamma_sum_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(n_dbl + phi_dbl + 1);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) == <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::numeric_limits&lt;int&gt;::max</a>())</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(1.0);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[i]);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keyword">const</span> T_partials_return phi_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(phi_vec[i]);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keyword">const</span> T_partials_return p_dbl = phi_dbl / (mu_dbl + phi_dbl);</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">const</span> T_partials_return d_dbl = 1.0 / ((mu_dbl + phi_dbl)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                                               * (mu_dbl + phi_dbl));</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">const</span> T_partials_return P_i =</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(phi_dbl, n_dbl + 1.0, p_dbl);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        P *= P_i;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a9c265eb14e915edc9bd457e93aaaf166"><div class="ttname"><a href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">stan::math::inc_beta_dda</a></div><div class="ttdeci">T inc_beta_dda(T a, T b, T z, T digamma_a, T digamma_ab)</div><div class="ttdoc">Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to a. </div><div class="ttdef"><b>Definition:</b> <a href="inc__beta__dda_8hpp_source.html#l00039">inc_beta_dda.hpp:39</a></div></div>
+<div class="ttc" id="inc__beta__ddz_8hpp_html"><div class="ttname"><a href="inc__beta__ddz_8hpp.html">inc_beta_ddz.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="inc__beta__ddb_8hpp_html"><div class="ttname"><a href="inc__beta__ddb_8hpp.html">inc_beta_ddb.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
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+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="inc__beta__dda_8hpp_html"><div class="ttname"><a href="inc__beta__dda_8hpp.html">inc_beta_dda.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/beta_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="neg__binomial__2__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ade0a4ada20d2611ea7b7c717bcfd42ad"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_location , typename T_precision &gt; </td></tr>
+<tr class="memitem:ade0a4ada20d2611ea7b7c717bcfd42ad"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_location, T_precision &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ade0a4ada20d2611ea7b7c717bcfd42ad">stan::math::neg_binomial_2_cdf_log</a> (const T_n &amp;n, const T_location &amp;mu, const T_precision &amp;phi)</td></tr>
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+<div class="title">neg_binomial_2_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="neg__binomial__2__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__cdf__log_8hpp.html">stan/math/prim/scal/prob/beta_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_location,</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;              <span class="keyword">typename</span> T_precision&gt;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_location, T_precision&gt;::type</div>
+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ade0a4ada20d2611ea7b7c717bcfd42ad">   19</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ade0a4ada20d2611ea7b7c717bcfd42ad">neg_binomial_2_cdf_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                           <span class="keyword">const</span> T_location&amp; mu,</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                           <span class="keyword">const</span> T_precision&amp; phi) {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                             <span class="stringliteral">&quot;Precision Parameter&quot;</span>, phi);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_location&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_precision&gt;</a> phi_vec(phi);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordtype">size_t</span> size_phi_mu = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(mu, phi);</div>
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+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        phi_mu[i] = phi_vec[i] / (phi_vec[i] + mu_vec[i]);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordtype">size_t</span> size_n = <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(n);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, typename return_type&lt;T_n&gt;::type</a>,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                    T_n&gt; np1(size_n);</div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+</div><!-- fragment --></div><!-- contents -->
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diff --git a/doc/api/html/neg__binomial__2__log_8hpp.html b/doc/api/html/neg__binomial__2__log_8hpp.html
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+<div class="title">neg_binomial_2_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="neg__binomial__2__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a72735047f883b88395f4e50e515140d2"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_n , typename T_location , typename T_precision &gt; </td></tr>
+<tr class="memitem:a72735047f883b88395f4e50e515140d2"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_location, T_precision &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a72735047f883b88395f4e50e515140d2">stan::math::neg_binomial_2_log</a> (const T_n &amp;n, const T_location &amp;mu, const T_precision &amp;phi)</td></tr>
+<tr class="separator:a72735047f883b88395f4e50e515140d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abf533af613ce70cc7b53fd678c2363b7"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_location , typename T_precision &gt; </td></tr>
+<tr class="memitem:abf533af613ce70cc7b53fd678c2363b7"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_location, T_precision &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abf533af613ce70cc7b53fd678c2363b7">stan::math::neg_binomial_2_log</a> (const T_n &amp;n, const T_location &amp;mu, const T_precision &amp;phi)</td></tr>
+<tr class="separator:abf533af613ce70cc7b53fd678c2363b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">neg_binomial_2_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="neg__binomial__2__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="comment">// NegBinomial(n|mu, phi)  [mu &gt;= 0; phi &gt; 0;  n &gt;= 0]</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;              <span class="keyword">typename</span> T_n,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;              <span class="keyword">typename</span> T_location, <span class="keyword">typename</span> T_precision&gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_location, T_precision&gt;::type</div>
+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a72735047f883b88395f4e50e515140d2">   37</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a72735047f883b88395f4e50e515140d2">neg_binomial_2_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                       <span class="keyword">const</span> T_location&amp; mu,</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                       <span class="keyword">const</span> T_precision&amp; phi) {</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_n, T_location,</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                                                  T_precision&gt;::type</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::neg_binomial_2_log&quot;</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(phi)))</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Failures variable&quot;</span>, n);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Precision parameter&quot;</span>, phi);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="stringliteral">&quot;Failures variable&quot;</span>, n,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Precision parameter&quot;</span>, phi);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_location, T_precision&gt;::value</a>)</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_location&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_precision&gt;</a> phi_vec(phi);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, mu, phi);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_location, T_precision&gt;</a></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        operands_and_partials(mu, phi);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordtype">size_t</span> len_ep = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(mu, phi);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordtype">size_t</span> len_np = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, phi);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_location&gt;</a> mu__(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(mu));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0, size = <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(mu); i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        mu__[i] = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[i]);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_precision&gt;</a> phi__(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(phi));</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0, size = <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(phi); i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        phi__[i] = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(phi_vec[i]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_precision&gt;</a> log_phi(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(phi));</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0, size = <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(phi); i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        log_phi[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(phi__[i]);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_location, T_precision&gt;</a></div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        log_mu_plus_phi(len_ep);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; len_ep; ++i)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        log_mu_plus_phi[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(mu__[i] + phi__[i]);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_n, T_precision&gt;</a></div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        n_plus_phi(len_np);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; len_np; ++i)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        n_plus_phi[i] = n_vec[i] + phi__[i];</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          logp -= <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(n_vec[i] + 1.0);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_precision&gt;::value</a>)</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">multiply_log</a>(phi__[i], phi__[i]) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(phi__[i]);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_location, T_precision&gt;::value</a>)</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          logp -= (n_plus_phi[i])*log_mu_plus_phi[i];</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_location&gt;::value</a>)</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">multiply_log</a>(n_vec[i], mu__[i]);</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_precision&gt;::value</a>)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(n_plus_phi[i]);</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_location&gt;::value</a>)</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i]</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;            += n_vec[i]/mu__[i]</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            - (n_vec[i] + phi__[i])</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;            / (mu__[i] + phi__[i]);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_precision&gt;::value</a>)</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[i]</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            += 1.0 - n_plus_phi[i]/(mu__[i] + phi__[i])</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            + log_phi[i] - log_mu_plus_phi[i] - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(phi__[i])</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            + <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(n_plus_phi[i]);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      }</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    }</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n,</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;              <span class="keyword">typename</span> T_location, <span class="keyword">typename</span> T_precision&gt;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_location, T_precision&gt;::type</a></div>
+<div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#abf533af613ce70cc7b53fd678c2363b7">  141</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a72735047f883b88395f4e50e515140d2">neg_binomial_2_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                       <span class="keyword">const</span> T_location&amp; mu,</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                       <span class="keyword">const</span> T_precision&amp; phi) {</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      <span class="keywordflow">return</span> neg_binomial_2_log&lt;false&gt;(n, mu, phi);</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  }</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;}</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aead76f03bdbc60484ad760fc31bad40f"><div class="ttname"><a href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a></div><div class="ttdeci">fvar&lt; T &gt; lgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">lgamma.hpp:15</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a72735047f883b88395f4e50e515140d2"><div class="ttname"><a href="namespacestan_1_1math.html#a72735047f883b88395f4e50e515140d2">stan::math::neg_binomial_2_log</a></div><div class="ttdeci">return_type&lt; T_location, T_precision &gt;::type neg_binomial_2_log(const T_n &amp;n, const T_location &amp;mu, const T_precision &amp;phi)</div><div class="ttdef"><b>Definition:</b> <a href="neg__binomial__2__log_8hpp_source.html#l00037">neg_binomial_2_log.hpp:37</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/scal/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="neg__binomial__2__log__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a07f9603fcb9767d59c7aa75cfbd489e9"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_n , typename T_log_location , typename T_precision &gt; </td></tr>
+<tr class="memitem:a07f9603fcb9767d59c7aa75cfbd489e9"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_log_location, T_precision &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a07f9603fcb9767d59c7aa75cfbd489e9">stan::math::neg_binomial_2_log_log</a> (const T_n &amp;n, const T_log_location &amp;eta, const T_precision &amp;phi)</td></tr>
+<tr class="separator:a07f9603fcb9767d59c7aa75cfbd489e9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aef63f32976322da20fcea2a0c15fb888"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_log_location , typename T_precision &gt; </td></tr>
+<tr class="memitem:aef63f32976322da20fcea2a0c15fb888"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_log_location, T_precision &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aef63f32976322da20fcea2a0c15fb888">stan::math::neg_binomial_2_log_log</a> (const T_n &amp;n, const T_log_location &amp;eta, const T_precision &amp;phi)</td></tr>
+<tr class="separator:aef63f32976322da20fcea2a0c15fb888"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="neg__binomial__2__log__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_LOG_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_LOG_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__sum__exp_8hpp.html">stan/math/prim/scal/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="comment">// NegBinomial(n|eta, phi)  [phi &gt; 0;  n &gt;= 0]</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;              <span class="keyword">typename</span> T_n,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;              <span class="keyword">typename</span> T_log_location, <span class="keyword">typename</span> T_precision&gt;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_log_location, T_precision&gt;::type</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a07f9603fcb9767d59c7aa75cfbd489e9">   35</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a07f9603fcb9767d59c7aa75cfbd489e9">neg_binomial_2_log_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                           <span class="keyword">const</span> T_log_location&amp; eta,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                           <span class="keyword">const</span> T_precision&amp; phi) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_n, T_log_location,</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                                                  T_precision&gt;::type</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::prob::neg_binomial_2_log_log&quot;</span>);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(eta)</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(phi)))</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Failures variable&quot;</span>, n);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Log location parameter&quot;</span>, eta);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Precision parameter&quot;</span>, phi);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                             <span class="stringliteral">&quot;Failures variable&quot;</span>, n,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="stringliteral">&quot;Log location parameter&quot;</span>, eta,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Precision parameter&quot;</span>, phi);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_log_location, T_precision&gt;::value</a>)</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">stan::math::log_sum_exp</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_log_location&gt;</a> eta_vec(eta);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_precision&gt;</a> phi_vec(phi);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, eta, phi);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_log_location, T_precision&gt;</a></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        operands_and_partials(eta, phi);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordtype">size_t</span> len_ep = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(eta, phi);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordtype">size_t</span> len_np = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, phi);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_log_location&gt;</a> eta__(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(eta));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0, size = <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(eta); i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        eta__[i] = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(eta_vec[i]);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_precision&gt;</a> phi__(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(phi));</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0, size = <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(phi); i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        phi__[i] = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(phi_vec[i]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_precision&gt;</a></div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        log_phi(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(phi));</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0, size = <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(phi); i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        log_phi[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(phi__[i]);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_log_location, T_precision&gt;</a></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        logsumexp_eta_logphi(len_ep);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; len_ep; ++i)</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        logsumexp_eta_logphi[i] = <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(eta__[i], log_phi[i]);</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_n, T_precision&gt;</a></div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        n_plus_phi(len_np);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; len_np; ++i)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        n_plus_phi[i] = n_vec[i] + phi__[i];</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          logp -= <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(n_vec[i] + 1.0);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_precision&gt;::value</a>)</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">multiply_log</a>(phi__[i], phi__[i]) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(phi__[i]);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_log_location, T_precision&gt;::value</a>)</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          logp -= (n_plus_phi[i])*logsumexp_eta_logphi[i];</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_log_location&gt;::value</a>)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          logp += n_vec[i]*eta__[i];</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_precision&gt;::value</a>)</div>
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+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            + log_phi[i] - logsumexp_eta_logphi[i] - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(phi__[i])</div>
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+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n,</div>
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+<div class="line"><a name="l00142"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aef63f32976322da20fcea2a0c15fb888">  142</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a07f9603fcb9767d59c7aa75cfbd489e9">neg_binomial_2_log_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                           <span class="keyword">const</span> T_log_location&amp; eta,</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                           <span class="keyword">const</span> T_precision&amp; phi) {</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      <span class="keywordflow">return</span> neg_binomial_2_log_log&lt;false&gt;(n, eta, phi);</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    }</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  }</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;}</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a07f9603fcb9767d59c7aa75cfbd489e9"><div class="ttname"><a href="namespacestan_1_1math.html#a07f9603fcb9767d59c7aa75cfbd489e9">stan::math::neg_binomial_2_log_log</a></div><div class="ttdeci">return_type&lt; T_log_location, T_precision &gt;::type neg_binomial_2_log_log(const T_n &amp;n, const T_log_location &amp;eta, const T_precision &amp;phi)</div><div class="ttdef"><b>Definition:</b> <a href="neg__binomial__2__log__log_8hpp_source.html#l00035">neg_binomial_2_log_log.hpp:35</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac86474622fba4524c529c4b8024e4ceb"><div class="ttname"><a href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">stan::math::log_sum_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log_sum_exp(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00014">log_sum_exp.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__sum__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__sum__exp_8hpp.html">log_sum_exp.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a055efd6bb49a1df5ea4da98d1078d0e6"><div class="ttname"><a href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a></div><div class="ttdeci">fvar&lt; T &gt; multiply_log(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2multiply__log_8hpp_source.html#l00015">multiply_log.hpp:15</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gamma__rng_8hpp_source.html">stan/math/prim/scal/prob/gamma_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="poisson__rng_8hpp_source.html">stan/math/prim/scal/prob/poisson_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+</div>
+<p><a href="neg__binomial__2__log__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a626a27ed755b59249175c99dd2548ea3"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a626a27ed755b59249175c99dd2548ea3"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a626a27ed755b59249175c99dd2548ea3">stan::math::neg_binomial_2_log_rng</a> (const double eta, const double phi, RNG &amp;rng)</td></tr>
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+<a href="neg__binomial__2__log__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_LOG_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_LOG_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gamma__rng_8hpp.html">stan/math/prim/scal/prob/gamma_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="poisson__rng_8hpp.html">stan/math/prim/scal/prob/poisson_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a626a27ed755b59249175c99dd2548ea3">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a626a27ed755b59249175c99dd2548ea3">neg_binomial_2_log_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> eta,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                           <span class="keyword">const</span> <span class="keywordtype">double</span> phi,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                           RNG&amp; rng) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> boost::random::negative_binomial_distribution;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> boost::random::poisson_distribution;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> boost::gamma_distribution;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::neg_binomial_2_log_rng&quot;</span>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Log-location parameter&quot;</span>, eta);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Precision parameter&quot;</span>, phi);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordtype">double</span> exp_eta_div_phi = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>(eta)/phi;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// gamma_rng params must be positive and finite</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="stringliteral">&quot;Exponential of the log-location parameter divided by &quot;</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="stringliteral">&quot;the precision parameter&quot;</span>, exp_eta_div_phi);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordtype">double</span> rng_from_gamma =</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        variate_generator&lt;RNG&amp;, gamma_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        (rng, gamma_distribution&lt;&gt;(phi, exp_eta_div_phi))();</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="comment">// same as the constraints for poisson_rng</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">check_less</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="stringliteral">&quot;Random number that came from gamma distribution&quot;</span>,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        rng_from_gamma, <a class="code" href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">POISSON_MAX_RATE</a>);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="stringliteral">&quot;Random number that came from gamma distribution&quot;</span>,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        rng_from_gamma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="stringliteral">&quot;Random number that came from gamma distribution&quot;</span>,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        rng_from_gamma);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">return</span> variate_generator&lt;RNG&amp;, poisson_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        (rng, poisson_distribution&lt;&gt;(rng_from_gamma))();</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;  }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;}</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_aab225792149dceaec443ce09b93f8744"><div class="ttname"><a href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math::check_less</a></div><div class="ttdeci">bool check_less(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is strictly less than high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less_8hpp_source.html#l00081">check_less.hpp:81</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="poisson__rng_8hpp_html"><div class="ttname"><a href="poisson__rng_8hpp.html">poisson_rng.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="gamma__rng_8hpp_html"><div class="ttname"><a href="gamma__rng_8hpp.html">gamma_rng.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a4ea938c86917d89bbd13e4edcbecb1be"><div class="ttname"><a href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">stan::math::POISSON_MAX_RATE</a></div><div class="ttdeci">const double POISSON_MAX_RATE</div><div class="ttdoc">Largest rate parameter allowed in Poisson RNG. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00072">constants.hpp:72</a></div></div>
+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a626a27ed755b59249175c99dd2548ea3"><div class="ttname"><a href="namespacestan_1_1math.html#a626a27ed755b59249175c99dd2548ea3">stan::math::neg_binomial_2_log_rng</a></div><div class="ttdeci">int neg_binomial_2_log_rng(const double eta, const double phi, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="neg__binomial__2__log__rng_8hpp_source.html#l00028">neg_binomial_2_log_rng.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">neg_binomial_2_rng.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gamma__rng_8hpp_source.html">stan/math/prim/scal/prob/gamma_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="poisson__rng_8hpp_source.html">stan/math/prim/scal/prob/poisson_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+</div>
+<p><a href="neg__binomial__2__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a1088da4c2c0c2b157862fbad43c75d0a"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a1088da4c2c0c2b157862fbad43c75d0a"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1088da4c2c0c2b157862fbad43c75d0a">stan::math::neg_binomial_2_rng</a> (const double mu, const double phi, RNG &amp;rng)</td></tr>
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+<div class="title">neg_binomial_2_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="neg__binomial__2__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_2_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gamma__rng_8hpp.html">stan/math/prim/scal/prob/gamma_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="poisson__rng_8hpp.html">stan/math/prim/scal/prob/poisson_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1088da4c2c0c2b157862fbad43c75d0a">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a1088da4c2c0c2b157862fbad43c75d0a">neg_binomial_2_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> mu,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                       <span class="keyword">const</span> <span class="keywordtype">double</span> phi,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                       RNG&amp; rng) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> boost::random::negative_binomial_distribution;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> boost::random::poisson_distribution;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> boost::gamma_distribution;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::neg_binomial_2_rng&quot;</span>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Precision parameter&quot;</span>, phi);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordtype">double</span> mu_div_phi = mu/phi;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// gamma_rng params must be positive and finite</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="stringliteral">&quot;Location parameter divided by the precision parameter&quot;</span>,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        mu_div_phi);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordtype">double</span> rng_from_gamma =</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        variate_generator&lt;RNG&amp;, gamma_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        (rng, gamma_distribution&lt;&gt;(phi, mu_div_phi))();</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="comment">// same as the constraints for poisson_rng</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">check_less</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="stringliteral">&quot;Random number that came from gamma distribution&quot;</span>,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        rng_from_gamma, <a class="code" href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">POISSON_MAX_RATE</a>);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="stringliteral">&quot;Random number that came from gamma distribution&quot;</span>,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        rng_from_gamma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="stringliteral">&quot;Random number that came from gamma distribution&quot;</span>,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        rng_from_gamma);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">return</span> variate_generator&lt;RNG&amp;, poisson_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        (rng, poisson_distribution&lt;&gt;(rng_from_gamma))();</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;  }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;}</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a4ea938c86917d89bbd13e4edcbecb1be"><div class="ttname"><a href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">stan::math::POISSON_MAX_RATE</a></div><div class="ttdeci">const double POISSON_MAX_RATE</div><div class="ttdoc">Largest rate parameter allowed in Poisson RNG. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00072">constants.hpp:72</a></div></div>
+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="neg__binomial__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a176323fd45f7f70cf9fa801310c3c614"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_shape , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:a176323fd45f7f70cf9fa801310c3c614"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_shape, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a176323fd45f7f70cf9fa801310c3c614">stan::math::neg_binomial_ccdf_log</a> (const T_n &amp;n, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</td></tr>
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+<div class="contents">
+<a href="neg__binomial__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_shape,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;              <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_shape, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a176323fd45f7f70cf9fa801310c3c614">   34</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a176323fd45f7f70cf9fa801310c3c614">neg_binomial_ccdf_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_shape&amp; alpha,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                          <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::neg_binomial_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_n, T_shape,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="comment">// Ensure non-zero arugment lengths</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Failures variable&quot;</span>, n,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Wrap arguments in vector views</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, alpha, beta);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_shape, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        operands_and_partials(alpha, beta);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="comment">// Cache a few expensive function calls if alpha is a parameter</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        digammaN_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        digammaAlpha_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        digammaSum_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); i++) {</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;          <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          digammaN_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(n_dbl + 1);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          digammaAlpha_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          digammaSum_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(n_dbl + alpha_dbl + 1);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) == <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::numeric_limits&lt;int&gt;::max</a>())</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return p_dbl = beta_dbl / (1.0 + beta_dbl);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keyword">const</span> T_partials_return d_dbl = 1.0 / ( (1.0 + beta_dbl)</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;                                                * (1.0 + beta_dbl) );</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = 1.0 - <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(alpha_dbl, n_dbl + 1.0,</div>
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+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pi);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
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+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          T_partials_return g2 = 0;</div>
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+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;                                        n_dbl + 1, p_dbl,</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                                        digammaAlpha_vec[i],</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                                        digammaN_vec[i],</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                                        digammaSum_vec[i],</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                                        beta_func);</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] -= g1 / Pi;</div>
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+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    }</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  }</div>
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+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a176323fd45f7f70cf9fa801310c3c614"><div class="ttname"><a href="namespacestan_1_1math.html#a176323fd45f7f70cf9fa801310c3c614">stan::math::neg_binomial_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_shape, T_inv_scale &gt;::type neg_binomial_ccdf_log(const T_n &amp;n, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="neg__binomial__ccdf__log_8hpp_source.html#l00034">neg_binomial_ccdf_log.hpp:34</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
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+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__dda_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_dda.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__ddb_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_ddb.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inc__beta__ddz_8hpp_source.html">stan/math/prim/scal/fun/inc_beta_ddz.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
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+<p><a href="neg__binomial__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a31e90bd5f65cafdcd66b41617bf31718"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_shape , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:a31e90bd5f65cafdcd66b41617bf31718"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_shape, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a31e90bd5f65cafdcd66b41617bf31718">stan::math::neg_binomial_cdf</a> (const T_n &amp;n, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</td></tr>
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+<a href="neg__binomial__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__dda_8hpp.html">stan/math/prim/scal/fun/inc_beta_dda.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__ddb_8hpp.html">stan/math/prim/scal/fun/inc_beta_ddb.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inc__beta__ddz_8hpp.html">stan/math/prim/scal/fun/inc_beta_ddz.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="comment">// Negative Binomial CDF</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_shape,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;              <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_shape, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a31e90bd5f65cafdcd66b41617bf31718">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a31e90bd5f65cafdcd66b41617bf31718">neg_binomial_cdf</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_shape&amp; alpha,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                     <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::neg_binomial_cdf&quot;</span>);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_n, T_shape,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="comment">// Ensure non-zero arugment lengths</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                             <span class="stringliteral">&quot;Failures variable&quot;</span>, n,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                             <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="comment">// Wrap arguments in vector views</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, alpha, beta);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a2412f96d2114b4c15efb1ddbddaef35b">stan::math::inc_beta_ddz</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">stan::math::inc_beta_dda</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_shape, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        operands_and_partials(alpha, beta);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      }</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="comment">// Cache a few expensive function calls if alpha is a parameter</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        digamma_alpha_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        digamma_sum_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); i++) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          digamma_alpha_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          digamma_sum_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(n_dbl + alpha_dbl + 1);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) == <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::numeric_limits&lt;int&gt;::max</a>())</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(1.0);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keyword">const</span> T_partials_return p_dbl = beta_dbl / (1.0 + beta_dbl);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keyword">const</span> T_partials_return d_dbl = 1.0 / ( (1.0 + beta_dbl)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                                                * (1.0 + beta_dbl) );</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keyword">const</span> T_partials_return P_i =</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(alpha_dbl, n_dbl + 1.0, p_dbl);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        P *= P_i;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i]</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            += <a class="code" href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">inc_beta_dda</a>(alpha_dbl, n_dbl + 1, p_dbl,</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;                            digamma_alpha_vec[i],</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;                            digamma_sum_vec[i]) / P_i;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        }</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[i] +=</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;            <a class="code" href="namespacestan_1_1math.html#a2412f96d2114b4c15efb1ddbddaef35b">inc_beta_ddz</a>(alpha_dbl, n_dbl + 1.0, p_dbl) * d_dbl / P_i;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      }</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); ++i)</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] *= P;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      }</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta); ++i)</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[i] *= P;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;      }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    }</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;  }  <span class="comment">// prob</span></div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;}  <span class="comment">// stan</span></div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a31e90bd5f65cafdcd66b41617bf31718"><div class="ttname"><a href="namespacestan_1_1math.html#a31e90bd5f65cafdcd66b41617bf31718">stan::math::neg_binomial_cdf</a></div><div class="ttdeci">return_type&lt; T_shape, T_inv_scale &gt;::type neg_binomial_cdf(const T_n &amp;n, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="neg__binomial__cdf_8hpp_source.html#l00029">neg_binomial_cdf.hpp:29</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9c265eb14e915edc9bd457e93aaaf166"><div class="ttname"><a href="namespacestan_1_1math.html#a9c265eb14e915edc9bd457e93aaaf166">stan::math::inc_beta_dda</a></div><div class="ttdeci">T inc_beta_dda(T a, T b, T z, T digamma_a, T digamma_ab)</div><div class="ttdoc">Returns the partial derivative of the regularized incomplete beta function, I_{z}(a, b) with respect to a. </div><div class="ttdef"><b>Definition:</b> <a href="inc__beta__dda_8hpp_source.html#l00039">inc_beta_dda.hpp:39</a></div></div>
+<div class="ttc" id="inc__beta__ddz_8hpp_html"><div class="ttname"><a href="inc__beta__ddz_8hpp.html">inc_beta_ddz.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="inc__beta__ddb_8hpp_html"><div class="ttname"><a href="inc__beta__ddb_8hpp.html">inc_beta_ddb.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5da0ef87756d3dbd20ca4ff5a3efa10d"><div class="ttname"><a href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">stan::math::max</a></div><div class="ttdeci">int max(const std::vector&lt; int &gt; &amp;x)</div><div class="ttdoc">Returns the maximum coefficient in the specified column vector. </div><div class="ttdef"><b>Definition:</b> <a href="max_8hpp_source.html#l00021">max.hpp:21</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
+<div class="ttc" id="inc__beta__dda_8hpp_html"><div class="ttname"><a href="inc__beta__dda_8hpp.html">inc_beta_dda.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">neg_binomial_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="neg__binomial__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a51e5ebf37ccf49350280631039a23017"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_shape , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:a51e5ebf37ccf49350280631039a23017"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_shape, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a51e5ebf37ccf49350280631039a23017">stan::math::neg_binomial_cdf_log</a> (const T_n &amp;n, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</td></tr>
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+<div class="title">neg_binomial_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="neg__binomial__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_shape,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;              <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_shape, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a51e5ebf37ccf49350280631039a23017">   34</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a51e5ebf37ccf49350280631039a23017">neg_binomial_cdf_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_shape&amp; alpha,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                         <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::neg_binomial_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_n, T_shape,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="comment">// Ensure non-zero arugment lengths</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Failures variable&quot;</span>, n,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Wrap arguments in vector views</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, alpha, beta);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_shape, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        operands_and_partials(alpha, beta);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="comment">// Cache a few expensive function calls if alpha is a parameter</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        digammaN_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        digammaAlpha_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        digammaSum_vec(stan::length(alpha));</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); i++) {</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          digammaN_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(n_dbl + 1);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          digammaAlpha_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(alpha_dbl);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          digammaSum_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(n_dbl + alpha_dbl + 1);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      }</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) == <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::numeric_limits&lt;int&gt;::max</a>())</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keyword">const</span> T_partials_return p_dbl = beta_dbl / (1.0 + beta_dbl);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keyword">const</span> T_partials_return d_dbl = 1.0 / ( (1.0 + beta_dbl)</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                                                * (1.0 + beta_dbl) );</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(alpha_dbl, n_dbl + 1.0, p_dbl);</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">const</span> T_partials_return beta_func = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(n_dbl + 1, alpha_dbl));</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pi);</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          T_partials_return g1 = 0;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;          T_partials_return g2 = 0;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;          <a class="code" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a>(g1, g2, alpha_dbl,</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                                        n_dbl + 1, p_dbl,</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                                        digammaAlpha_vec[i],</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                                        digammaN_vec[i],</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                                        digammaSum_vec[i],</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                                        beta_func);</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] += g1 / Pi;</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        }</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[i]  += d_dbl * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1-p_dbl, n_dbl)</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(p_dbl, alpha_dbl-1) / beta_func / Pi;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      }</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  }</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;}</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac51be9d210e223a8aa4241e2d725e295"><div class="ttname"><a href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a></div><div class="ttdeci">fvar&lt; T &gt; lbeta(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">lbeta.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2binomial__coefficient__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">binomial_coefficient_log.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a51e5ebf37ccf49350280631039a23017"><div class="ttname"><a href="namespacestan_1_1math.html#a51e5ebf37ccf49350280631039a23017">stan::math::neg_binomial_cdf_log</a></div><div class="ttdeci">return_type&lt; T_shape, T_inv_scale &gt;::type neg_binomial_cdf_log(const T_n &amp;n, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="neg__binomial__cdf__log_8hpp_source.html#l00034">neg_binomial_cdf_log.hpp:34</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11eeb59eb3ae4f0710a7e417478c1212"><div class="ttname"><a href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a></div><div class="ttdeci">void grad_reg_inc_beta(T &amp;g1, T &amp;g2, T a, T b, T z, T digammaA, T digammaB, T digammaSum, T betaAB)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__beta_8hpp_source.html#l00014">grad_reg_inc_beta.hpp:14</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">neg_binomial_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="max__size_8hpp_source.html">stan/math/prim/scal/meta/max_size.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="neg__binomial__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a5b3f283f0d71f78bb437e1e1c4fdb805"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_n , typename T_shape , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:a5b3f283f0d71f78bb437e1e1c4fdb805"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_shape, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5b3f283f0d71f78bb437e1e1c4fdb805">stan::math::neg_binomial_log</a> (const T_n &amp;n, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</td></tr>
+<tr class="separator:a5b3f283f0d71f78bb437e1e1c4fdb805"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a24147a6471d65586101de3a5dfa4a53c"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_shape , typename T_inv_scale &gt; </td></tr>
+<tr class="memitem:a24147a6471d65586101de3a5dfa4a53c"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_shape, T_inv_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a24147a6471d65586101de3a5dfa4a53c">stan::math::neg_binomial_log</a> (const T_n &amp;n, const T_shape &amp;alpha, const T_inv_scale &amp;beta)</td></tr>
+<tr class="separator:a24147a6471d65586101de3a5dfa4a53c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">neg_binomial_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="neg__binomial__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="max__size_8hpp.html">stan/math/prim/scal/meta/max_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="comment">// NegBinomial(n|alpha, beta)  [alpha &gt; 0;  beta &gt; 0;  n &gt;= 0]</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;              <span class="keyword">typename</span> T_n,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;              <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_inv_scale&gt;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_shape, T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5b3f283f0d71f78bb437e1e1c4fdb805">   39</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a5b3f283f0d71f78bb437e1e1c4fdb805">neg_binomial_log</a>(<span class="keyword">const</span> T_n&amp; n,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                     <span class="keyword">const</span> T_shape&amp; alpha,</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                     <span class="keyword">const</span> T_inv_scale&amp; beta) {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_n, T_shape,</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                                                  T_inv_scale&gt;::type</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::neg_binomial_log&quot;</span>);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Failures variable&quot;</span>, n);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Failures variable&quot;</span>, n,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                             <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape, T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">stan::math::binomial_coefficient_log</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_inv_scale&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, alpha, beta);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_shape, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        operands_and_partials(alpha, beta);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordtype">size_t</span> len_ab = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_shape, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        lambda(len_ab);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; len_ab; ++i)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        lambda[i] = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]) / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        log1p_beta(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta));</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta); ++i)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        log1p_beta[i] = <a class="code" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">log1p</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]));</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_inv_scale&gt;</a></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        log_beta_m_log1p_beta(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta));</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta); ++i)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        log_beta_m_log1p_beta[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i])) - log1p_beta[i];</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_inv_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        alpha_times_log_beta_over_1p_beta(len_ab);</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; len_ab; ++i)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        alpha_times_log_beta_over_1p_beta[i]</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i])</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i])</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                / (1.0 + <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i])));</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                    T_partials_return, T_shape&gt;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        digamma_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); ++i)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          digamma_alpha[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]));</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      }</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                    T_partials_return, T_inv_scale&gt; log_beta(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta));</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(beta); ++i)</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          log_beta[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]));</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      }</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_inv_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                    T_partials_return, T_shape, T_inv_scale&gt;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        lambda_m_alpha_over_1p_beta(len_ab);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; len_ab; ++i)</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          lambda_m_alpha_over_1p_beta[i] =</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;            lambda[i]</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            - (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i])</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;               / (1.0 + <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i])));</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      }</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keywordflow">if</span> (alpha_vec[i] &gt; 1e10) {  <span class="comment">// reduces numerically to Poisson</span></div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;            logp -= <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(n_vec[i] + 1.0);</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape, T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;            logp += <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">multiply_log</a>(n_vec[i], lambda[i]) - lambda[i];</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i]</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;              += n_vec[i] / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i])</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;              - 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[i]</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;              += (lambda[i] - n_vec[i]) / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]);</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        } <span class="keywordflow">else</span> {  <span class="comment">// standard density definition</span></div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;            <span class="keywordflow">if</span> (n_vec[i] != 0)</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;              logp += <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(n_vec[i]</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;                                               + <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i])</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;                                               - 1.0,</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;                                               n_vec[i]);</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape, T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            logp +=</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;              alpha_times_log_beta_over_1p_beta[i]</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;              - n_vec[i] * log1p_beta[i];</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i]</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;              += <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]) + n_vec[i])</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;              - digamma_alpha[i]</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;              + log_beta_m_log1p_beta[i];</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_inv_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[i]</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;              += lambda_m_alpha_over_1p_beta[i]</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;              - n_vec[i]  / (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]) + 1.0);</div>
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+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
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+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="max__size_8hpp_html"><div class="ttname"><a href="max__size_8hpp.html">max_size.hpp</a></div></div>
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+<div class="title">neg_binomial_rng.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gamma__rng_8hpp_source.html">stan/math/prim/scal/prob/gamma_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="poisson__rng_8hpp_source.html">stan/math/prim/scal/prob/poisson_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+</div>
+<p><a href="neg__binomial__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a898e2ab003c78229367378b150c78aca"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a898e2ab003c78229367378b150c78aca"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a898e2ab003c78229367378b150c78aca">stan::math::neg_binomial_rng</a> (const double alpha, const double beta, RNG &amp;rng)</td></tr>
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+<div class="title">neg_binomial_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="neg__binomial__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NEG_BINOMIAL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/negative_binomial_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gamma__rng_8hpp.html">stan/math/prim/scal/prob/gamma_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="poisson__rng_8hpp.html">stan/math/prim/scal/prob/poisson_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a898e2ab003c78229367378b150c78aca">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a898e2ab003c78229367378b150c78aca">neg_binomial_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> alpha,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                     <span class="keyword">const</span> <span class="keywordtype">double</span> beta,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                     RNG&amp; rng) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> boost::random::negative_binomial_distribution;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> boost::random::poisson_distribution;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> boost::gamma_distribution;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::neg_binomial_rng&quot;</span>);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="comment">// gamma_rng params must be positive and finite</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Inverse scale parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordtype">double</span> rng_from_gamma =</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        variate_generator&lt;RNG&amp;, gamma_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        (rng, gamma_distribution&lt;&gt;(alpha, 1.0 / beta))();</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="comment">// same as the constraints for poisson_rng</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">check_less</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="stringliteral">&quot;Random number that came from gamma distribution&quot;</span>,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        rng_from_gamma, <a class="code" href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">POISSON_MAX_RATE</a>);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="stringliteral">&quot;Random number that came from gamma distribution&quot;</span>,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        rng_from_gamma);</div>
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+<div class="ttc" id="chainablestack_8hpp_html"><div class="ttname"><a href="chainablestack_8hpp.html">chainablestack.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="max__size_8hpp_source.html">stan/math/prim/scal/meta/max_size.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="normal__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a2214490cfe7d81bdc51318028cd7df94"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a2214490cfe7d81bdc51318028cd7df94"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2214490cfe7d81bdc51318028cd7df94">stan::math::normal_ccdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a2214490cfe7d81bdc51318028cd7df94"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">normal_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="normal__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NORMAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NORMAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a2214490cfe7d81bdc51318028cd7df94">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a2214490cfe7d81bdc51318028cd7df94">normal_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::normal_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math::INV_SQRT_2</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> ccdf_log;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordtype">double</span> log_half = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(0.5);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> SQRT_TWO_OVER_PI = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0 / <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl)</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        T_partials_return one_m_erf;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">if</span> (scaled_diff &lt; -37.5 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          one_m_erf = 2.0;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (scaled_diff &lt; -5.0 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          one_m_erf =  2.0 - <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>(-scaled_diff);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (scaled_diff &gt; 8.25 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          one_m_erf = 0.0;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          one_m_erf = 1.0 - <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(scaled_diff);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="comment">// log ccdf</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        ccdf_log += log_half + <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(one_m_erf);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_y, T_loc, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="keyword">const</span> T_partials_return rep_deriv_div_sigma</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;            = scaled_diff &gt; 8.25 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;            ? std::numeric_limits&lt;double&gt;::infinity()</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;            : SQRT_TWO_OVER_PI * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff * scaled_diff)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            / one_m_erf / sigma_dbl;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= rep_deriv_div_sigma;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += rep_deriv_div_sigma;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += rep_deriv_div_sigma</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;              * scaled_diff * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a>;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      }</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(ccdf_log);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    }</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;  }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;}</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa283efca22c0544054a6534443e6e762"><div class="ttname"><a href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math::erf</a></div><div class="ttdeci">fvar&lt; T &gt; erf(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erf_8hpp_source.html#l00014">erf.hpp:14</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5491e346d5a812af988f8de4a5948c88"><div class="ttname"><a href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math::INV_SQRT_2</a></div><div class="ttdeci">const double INV_SQRT_2</div><div class="ttdoc">The value of 1 over the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00027">constants.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="max__size_8hpp_html"><div class="ttname"><a href="max__size_8hpp.html">max_size.hpp</a></div></div>
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+<div class="title">normal_cdf.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="max__size_8hpp_source.html">stan/math/prim/scal/meta/max_size.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="normal__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aa2b9ee666af5f1741dc9f75108176386"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:aa2b9ee666af5f1741dc9f75108176386"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa2b9ee666af5f1741dc9f75108176386">stan::math::normal_cdf</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="memdesc:aa2b9ee666af5f1741dc9f75108176386"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the normal cumulative distribution function for the given variate, location, and scale.  <a href="namespacestan_1_1math.html#aa2b9ee666af5f1741dc9f75108176386">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">normal_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="normal__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NORMAL_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NORMAL_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="max__size_8hpp.html">stan/math/prim/scal/meta/max_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa2b9ee666af5f1741dc9f75108176386">   40</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa2b9ee666af5f1741dc9f75108176386">normal_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::normal_cdf&quot;</span>);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math::INV_SQRT_2</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      T_partials_return cdf(1.0);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <span class="keywordflow">return</span> cdf;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> SQRT_TWO_OVER_PI = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0 / <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl)</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        T_partials_return cdf_;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">if</span> (scaled_diff &lt; -37.5 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          cdf_ = 0.0;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (scaled_diff &lt; -5.0 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          cdf_ = 0.5 * <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>(-scaled_diff);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (scaled_diff &gt; 8.25 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          cdf_ = 1;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          cdf_ = 0.5 * (1.0 + <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(scaled_diff));</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="comment">// cdf</span></div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        cdf *= cdf_;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_y, T_loc, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          <span class="keyword">const</span> T_partials_return rep_deriv</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            = scaled_diff &lt; -37.5 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a></div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                     ? 0.0</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                     : SQRT_TWO_OVER_PI * 0.5</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                     * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff * scaled_diff) / cdf_ / sigma_dbl;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= rep_deriv;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv * scaled_diff * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        }</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      }</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] *= cdf;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      }</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>) {</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu); ++n)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] *= cdf;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;      }</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma); ++n)</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] *= cdf;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      }</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf);</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    }</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;  }</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;}</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa283efca22c0544054a6534443e6e762"><div class="ttname"><a href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math::erf</a></div><div class="ttdeci">fvar&lt; T &gt; erf(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erf_8hpp_source.html#l00014">erf.hpp:14</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a491d6e40aaa2a3e205ea6708dc3c75dd"><div class="ttname"><a href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a></div><div class="ttdeci">const double SQRT_2</div><div class="ttdoc">The value of the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00021">constants.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5491e346d5a812af988f8de4a5948c88"><div class="ttname"><a href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math::INV_SQRT_2</a></div><div class="ttdeci">const double INV_SQRT_2</div><div class="ttdoc">The value of 1 over the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00027">constants.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1contains__nonconstant__struct_html"><div class="ttname"><a href="structstan_1_1contains__nonconstant__struct.html">stan::contains_nonconstant_struct</a></div><div class="ttdef"><b>Definition:</b> <a href="contains__nonconstant__struct_8hpp_source.html#l00014">contains_nonconstant_struct.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab4c763e4f09069eed96a4e96e33ea8ea"><div class="ttname"><a href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">stan::math::erfc</a></div><div class="ttdeci">fvar&lt; T &gt; erfc(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erfc_8hpp_source.html#l00014">erfc.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa2ffd66726e0532160e16e6b48d6f428"><div class="ttname"><a href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a></div><div class="ttdeci">double pi()</div><div class="ttdoc">Return the value of pi. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00086">constants.hpp:86</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa2b9ee666af5f1741dc9f75108176386"><div class="ttname"><a href="namespacestan_1_1math.html#aa2b9ee666af5f1741dc9f75108176386">stan::math::normal_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type normal_cdf(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdoc">Calculates the normal cumulative distribution function for the given variate, location, and scale. </div><div class="ttdef"><b>Definition:</b> <a href="normal__cdf_8hpp_source.html#l00040">normal_cdf.hpp:40</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="max__size_8hpp_html"><div class="ttname"><a href="max__size_8hpp.html">max_size.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="max__size_8hpp_source.html">stan/math/prim/scal/meta/max_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="normal__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a6d0b3b3339016b3282cf360feb7cd0f9"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a6d0b3b3339016b3282cf360feb7cd0f9"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6d0b3b3339016b3282cf360feb7cd0f9">stan::math::normal_cdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
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+<div class="title">normal_cdf_log.hpp</div>  </div>
+</div><!--header-->
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+<a href="normal__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NORMAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NORMAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math::INV_SQRT_2</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> cdf_log;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> SQRT_TWO_OVER_PI = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0 / <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff = (y_dbl - mu_dbl)</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;          / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        T_partials_return one_p_erf;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (scaled_diff &lt; -37.5 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          one_p_erf = 0.0;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (scaled_diff &lt; -5.0 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          one_p_erf =  <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>(-scaled_diff);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keywordflow">else</span> <span class="keywordflow">if</span> (scaled_diff &gt; 8.25 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;          one_p_erf = 2.0;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          one_p_erf = 1.0 + <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(scaled_diff);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="comment">// log cdf</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        cdf_log += <a class="code" href="namespacestan_1_1math.html#a84525339d1870944d63c1cce6caa1af1">LOG_HALF</a> + <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(one_p_erf);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_y, T_loc, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          <span class="keyword">const</span> T_partials_return rep_deriv_div_sigma</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;            = scaled_diff &lt; -37.5 * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                            ? std::numeric_limits&lt;double&gt;::infinity()</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                            : SQRT_TWO_OVER_PI * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff * scaled_diff)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                            / sigma_dbl / one_p_erf;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv_div_sigma;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= rep_deriv_div_sigma;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv_div_sigma</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;              * scaled_diff * <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a>;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        }</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;  }</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;}</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a84525339d1870944d63c1cce6caa1af1"><div class="ttname"><a href="namespacestan_1_1math.html#a84525339d1870944d63c1cce6caa1af1">stan::math::LOG_HALF</a></div><div class="ttdeci">const double LOG_HALF</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00179">constants.hpp:179</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa283efca22c0544054a6534443e6e762"><div class="ttname"><a href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math::erf</a></div><div class="ttdeci">fvar&lt; T &gt; erf(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erf_8hpp_source.html#l00014">erf.hpp:14</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a491d6e40aaa2a3e205ea6708dc3c75dd"><div class="ttname"><a href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a></div><div class="ttdeci">const double SQRT_2</div><div class="ttdoc">The value of the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00021">constants.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5491e346d5a812af988f8de4a5948c88"><div class="ttname"><a href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math::INV_SQRT_2</a></div><div class="ttdeci">const double INV_SQRT_2</div><div class="ttdoc">The value of 1 over the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00027">constants.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="max__size_8hpp_source.html">stan/math/prim/scal/meta/max_size.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="normal__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a1b7d387734f07e63bf2713b610f73a2d"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a1b7d387734f07e63bf2713b610f73a2d"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1b7d387734f07e63bf2713b610f73a2d">stan::math::normal_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="memdesc:a1b7d387734f07e63bf2713b610f73a2d"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of the normal density for the specified scalar(s) given the specified mean(s) and deviation(s).  <a href="namespacestan_1_1math.html#a1b7d387734f07e63bf2713b610f73a2d">More...</a><br /></td></tr>
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+<tr class="memitem:afc2fd29076680ce830285130b5fd6f81"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:afc2fd29076680ce830285130b5fd6f81"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afc2fd29076680ce830285130b5fd6f81">stan::math::normal_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">normal_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="normal__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NORMAL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NORMAL_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="max__size_8hpp.html">stan/math/prim/scal/meta/max_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1b7d387734f07e63bf2713b610f73a2d">   45</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a1b7d387734f07e63bf2713b610f73a2d">normal_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::normal_log&quot;</span>);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        operands_and_partials(y, mu, sigma);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_scale&gt;</a> inv_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                    T_partials_return, T_scale&gt; log_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        inv_sigma[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          log_sigma[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]));</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="comment">// pull out values of arguments</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="comment">// reusable subexpression values</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keyword">const</span> T_partials_return y_minus_mu_over_sigma</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          = (y_dbl - mu_dbl) * inv_sigma[n];</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">const</span> T_partials_return y_minus_mu_over_sigma_squared</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          = y_minus_mu_over_sigma * y_minus_mu_over_sigma;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">static</span> <span class="keywordtype">double</span> NEGATIVE_HALF = - 0.5;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="comment">// log probability</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">NEG_LOG_SQRT_TWO_PI</a>;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          logp -= log_sigma[n];</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          logp += NEGATIVE_HALF * y_minus_mu_over_sigma_squared;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        T_partials_return scaled_diff = inv_sigma[n] * y_minus_mu_over_sigma;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= scaled_diff;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += scaled_diff;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            += -inv_sigma[n] + inv_sigma[n] * y_minus_mu_over_sigma_squared;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      }</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    }</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00138"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afc2fd29076680ce830285130b5fd6f81">  138</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a1b7d387734f07e63bf2713b610f73a2d">normal_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordflow">return</span> normal_log&lt;false&gt;(y, mu, sigma);</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    }</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;  }</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;}</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a59f7f156224f9e60c2fb3e99034212eb"><div class="ttname"><a href="namespacestan_1_1math.html#a59f7f156224f9e60c2fb3e99034212eb">stan::math::NEG_LOG_SQRT_TWO_PI</a></div><div class="ttdeci">const double NEG_LOG_SQRT_TWO_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00184">constants.hpp:184</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1b7d387734f07e63bf2713b610f73a2d"><div class="ttname"><a href="namespacestan_1_1math.html#a1b7d387734f07e63bf2713b610f73a2d">stan::math::normal_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type normal_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdoc">The log of the normal density for the specified scalar(s) given the specified mean(s) and deviation(s...</div><div class="ttdef"><b>Definition:</b> <a href="normal__log_8hpp_source.html#l00045">normal_log.hpp:45</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="max__size_8hpp_html"><div class="ttname"><a href="max__size_8hpp.html">max_size.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/normal_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+</div>
+<p><a href="normal__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac70652885c9903a1122575590075bc78"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:ac70652885c9903a1122575590075bc78"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac70652885c9903a1122575590075bc78">stan::math::normal_rng</a> (const double mu, const double sigma, RNG &amp;rng)</td></tr>
+<tr class="separator:ac70652885c9903a1122575590075bc78"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="normal__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_NORMAL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_NORMAL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/normal_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac70652885c9903a1122575590075bc78">   19</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ac70652885c9903a1122575590075bc78">normal_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> mu,</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;               <span class="keyword">const</span> <span class="keywordtype">double</span> sigma,</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;               RNG&amp; rng) {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> boost::normal_distribution;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::normal_rng&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      variate_generator&lt;RNG&amp;, normal_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        norm_rng(rng, normal_distribution&lt;&gt;(mu, sigma));</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">return</span> norm_rng();</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;}</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac70652885c9903a1122575590075bc78"><div class="ttname"><a href="namespacestan_1_1math.html#ac70652885c9903a1122575590075bc78">stan::math::normal_rng</a></div><div class="ttdeci">double normal_rng(const double mu, const double sigma, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="normal__rng_8hpp_source.html#l00019">normal_rng.hpp:19</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+  <span style="float:left; margin=0 1em 0 1em;">
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+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="num__elements_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac360c5b10dbf87d81e346f2be7d19ade"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ac360c5b10dbf87d81e346f2be7d19ade"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac360c5b10dbf87d81e346f2be7d19ade">stan::math::num_elements</a> (const T &amp;x)</td></tr>
+<tr class="memdesc:ac360c5b10dbf87d81e346f2be7d19ade"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns 1, the number of elements in a primitive type.  <a href="namespacestan_1_1math.html#ac360c5b10dbf87d81e346f2be7d19ade">More...</a><br /></td></tr>
+<tr class="separator:ac360c5b10dbf87d81e346f2be7d19ade"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3e716815601bf5055a2d7fbfd8a757ea"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a3e716815601bf5055a2d7fbfd8a757ea"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3e716815601bf5055a2d7fbfd8a757ea">stan::math::num_elements</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:a3e716815601bf5055a2d7fbfd8a757ea"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the size of the specified matrix.  <a href="namespacestan_1_1math.html#a3e716815601bf5055a2d7fbfd8a757ea">More...</a><br /></td></tr>
+<tr class="separator:a3e716815601bf5055a2d7fbfd8a757ea"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a38a5d6d7f867666902fcd0adbe602920"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a38a5d6d7f867666902fcd0adbe602920"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a38a5d6d7f867666902fcd0adbe602920">stan::math::num_elements</a> (const std::vector&lt; T &gt; &amp;v)</td></tr>
+<tr class="memdesc:a38a5d6d7f867666902fcd0adbe602920"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the number of elements in the specified vector.  <a href="namespacestan_1_1math.html#a38a5d6d7f867666902fcd0adbe602920">More...</a><br /></td></tr>
+<tr class="separator:a38a5d6d7f867666902fcd0adbe602920"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="num__elements_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_NUM_ELEMENTS_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac360c5b10dbf87d81e346f2be7d19ade"><div class="ttname"><a href="namespacestan_1_1math.html#ac360c5b10dbf87d81e346f2be7d19ade">stan::math::num_elements</a></div><div class="ttdeci">int num_elements(const T &amp;x)</div><div class="ttdoc">Returns 1, the number of elements in a primitive type. </div><div class="ttdef"><b>Definition:</b> <a href="num__elements_8hpp_source.html#l00019">num_elements.hpp:19</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2fun_2value__of_8hpp_source.html">stan/math/prim/arr/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;iostream&gt;</code><br />
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Internal representation of an ODE model object which provides convenient Jacobian functions to obtain gradients wrt to states and parameters.  <a href="classstan_1_1math_1_1ode__system.html#details">More...</a><br /></td></tr>
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+<div class="title">ode_system.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="ode__system_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUNCTOR_ODE_SYSTEM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUNCTOR_ODE_SYSTEM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2arr_2fun_2value__of_8hpp.html">stan/math/prim/arr/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;iostream&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1ode__system.html">   21</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1ode__system.html">ode_system</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">const</span> F&amp; f_;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">const</span> std::vector&lt;double&gt; theta_;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">const</span> std::vector&lt;double&gt;&amp; x_;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">const</span> std::vector&lt;int&gt;&amp; x_int_;</div>
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+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                 <span class="keyword">const</span> std::vector&lt;double&gt;&amp; x, <span class="keyword">const</span> std::vector&lt;int&gt;&amp; x_int,</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        : f_(f), theta_(theta), x_(x), x_int_(x_int), msgs_(msgs) { }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1ode__system.html#a4ed68f6ec3399a46f873a08f93025f00">   51</a></span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1ode__system.html#a4ed68f6ec3399a46f873a08f93025f00">operator()</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> t, <span class="keyword">const</span> std::vector&lt;double&gt;&amp; y,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             std::vector&lt;double&gt;&amp; dy_dt)<span class="keyword"> const </span>{</div>
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+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keywordflow">try</span> {</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          <a class="code" href="namespacestan_1_1math.html#ad4a72c89ed9143a7760cc3611e8a0df0">start_nested</a>();</div>
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+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keyword">using</span> Eigen::Matrix;</div>
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+<div class="ttc" id="prim_2arr_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2arr_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1ode__system_html_a449c35dbebd10583051e37e59aa130e4"><div class="ttname"><a href="classstan_1_1math_1_1ode__system.html#a449c35dbebd10583051e37e59aa130e4">stan::math::ode_system::jacobian</a></div><div class="ttdeci">void jacobian(const double t, const std::vector&lt; double &gt; &amp;y, Eigen::MatrixBase&lt; Derived1 &gt; &amp;dy_dt, Eigen::MatrixBase&lt; Derived2 &gt; &amp;Jy) const </div><div class="ttdoc">Calculate the Jacobian of the ODE RHS wrt to states y. </div><div class="ttdef"><b>Definition:</b> <a href="ode__system_8hpp_source.html#l00067">ode_system.hpp:67</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a20437f997cf28c6013d897f1d8099106"><div class="ttname"><a href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">stan::math::grad</a></div><div class="ttdeci">static void grad(vari *vi)</div><div class="ttdoc">Compute the gradient for all variables starting from the specified root variable implementation. </div><div class="ttdef"><b>Definition:</b> <a href="core_2grad_8hpp_source.html#l00030">grad.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1ode__system_html_ae42b354ccbb7a22d64d81e834e6f2701"><div class="ttname"><a href="classstan_1_1math_1_1ode__system.html#ae42b354ccbb7a22d64d81e834e6f2701">stan::math::ode_system::ode_system</a></div><div class="ttdeci">ode_system(const F &amp;f, const std::vector&lt; double &gt; theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</div><div class="ttdoc">Construct an ODE model with the specified base ODE system, parameters, data, and a message stream...</div><div class="ttdef"><b>Definition:</b> <a href="ode__system_8hpp_source.html#l00039">ode_system.hpp:39</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1ode__system_html_ab4a9a116bbb0419d22ddc856f0c9061b"><div class="ttname"><a href="classstan_1_1math_1_1ode__system.html#ab4a9a116bbb0419d22ddc856f0c9061b">stan::math::ode_system::jacobian</a></div><div class="ttdeci">void jacobian(const double t, const std::vector&lt; double &gt; &amp;y, Eigen::MatrixBase&lt; Derived1 &gt; &amp;dy_dt, Eigen::MatrixBase&lt; Derived2 &gt; &amp;Jy, Eigen::MatrixBase&lt; Derived2 &gt; &amp;Jtheta) const </div><div class="ttdoc">Calculate the Jacobian of the ODE RHS wrt to states y and parameters theta. </div><div class="ttdef"><b>Definition:</b> <a href="ode__system_8hpp_source.html#l00107">ode_system.hpp:107</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1ode__system_html"><div class="ttname"><a href="classstan_1_1math_1_1ode__system.html">stan::math::ode_system</a></div><div class="ttdoc">Internal representation of an ODE model object which provides convenient Jacobian functions to obtain...</div><div class="ttdef"><b>Definition:</b> <a href="ode__system_8hpp_source.html#l00021">ode_system.hpp:21</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8ebf2b2bc0f63dcb46a176b43e8b369a"><div class="ttname"><a href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">stan::math::recover_memory_nested</a></div><div class="ttdeci">static void recover_memory_nested()</div><div class="ttdoc">Recover only the memory used for the top nested call. </div><div class="ttdef"><b>Definition:</b> <a href="recover__memory__nested_8hpp_source.html#l00020">recover_memory_nested.hpp:20</a></div></div>
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+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__division_8hpp_source.html">stan/math/rev/core/operator_division.hpp</a>&gt;</code><br />
+</div>
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+<a href="operator__divide__equal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_DIVIDE_EQUAL_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1var.html#aa158a69964d0f86042daa3e279ecff3f">   10</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; <a class="code" href="classstan_1_1math_1_1var.html#aa158a69964d0f86042daa3e279ecff3f">var::operator/=</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b) {</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_aa158a69964d0f86042daa3e279ecff3f"><div class="ttname"><a href="classstan_1_1math_1_1var.html#aa158a69964d0f86042daa3e279ecff3f">stan::math::var::operator/=</a></div><div class="ttdeci">var &amp; operator/=(const var &amp;b)</div><div class="ttdoc">The compound divide/assignment operator for variables (C++). </div><div class="ttdef"><b>Definition:</b> <a href="operator__divide__equal_8hpp_source.html#l00010">operator_divide_equal.hpp:10</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="rev_2core_2operator__division_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__division_8hpp.html">operator_division.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="rev_2core_2operator__subtraction_8hpp_source.html">stan/math/rev/core/operator_subtraction.hpp</a>&gt;</code><br />
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+<a href="operator__minus__equal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_MINUS_EQUAL_HPP</span></div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    }</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  }</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="rev_2core_2operator__subtraction_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__subtraction_8hpp.html">operator_subtraction.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a8892192fd51894b90e59a213fe02aeb9"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a8892192fd51894b90e59a213fe02aeb9">stan::math::var::operator-=</a></div><div class="ttdeci">var &amp; operator-=(const var &amp;b)</div><div class="ttdoc">The compound subtract/assignment operator for variables (C++). </div><div class="ttdef"><b>Definition:</b> <a href="operator__minus__equal_8hpp_source.html#l00010">operator_minus_equal.hpp:10</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__multiplication_8hpp_source.html">stan/math/rev/core/operator_multiplication.hpp</a>&gt;</code><br />
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+<div class="contents">
+<a href="operator__multiply__equal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_MULTIPLY_EQUAL_HPP</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="rev_2core_2operator__multiplication_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__multiplication_8hpp.html">operator_multiplication.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="rev_2core_2operator__addition_8hpp_source.html">stan/math/rev/core/operator_addition.hpp</a>&gt;</code><br />
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+<a href="operator__plus__equal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_PLUS_EQUAL_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="v__vari_8hpp_source.html">stan/math/rev/core/v_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="operator__unary__decrement_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:a10e496e6e1fd02a0378a729ada4f39df"><td class="memItemLeft" align="right" valign="top">var &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a10e496e6e1fd02a0378a729ada4f39df">stan::math::operator--</a> (var &amp;a)</td></tr>
+<tr class="memdesc:a10e496e6e1fd02a0378a729ada4f39df"><td class="mdescLeft">&#160;</td><td class="mdescRight">Prefix decrement operator for variables (C++).  <a href="namespacestan_1_1math.html#a10e496e6e1fd02a0378a729ada4f39df">More...</a><br /></td></tr>
+<tr class="separator:a10e496e6e1fd02a0378a729ada4f39df"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:abcadc96f506e9f1408647cdce4d09092"><td class="mdescLeft">&#160;</td><td class="mdescRight">Postfix decrement operator for variables (C++).  <a href="namespacestan_1_1math.html#abcadc96f506e9f1408647cdce4d09092">More...</a><br /></td></tr>
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+<div class="contents">
+<a href="operator__unary__decrement_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_UNARY_DECREMENT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_OPERATOR_UNARY_DECREMENT_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="v__vari_8hpp.html">stan/math/rev/core/v_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
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+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a10e496e6e1fd02a0378a729ada4f39df">   40</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; <a class="code" href="namespacestan_1_1math.html#a10e496e6e1fd02a0378a729ada4f39df">operator--</a>(<a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a) {</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="v__vari_8hpp_source.html">stan/math/rev/core/v_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
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+<p><a href="operator__unary__increment_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:aab33c64042765d924f07e7490788e6d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Prefix increment operator for variables (C++).  <a href="namespacestan_1_1math.html#aab33c64042765d924f07e7490788e6d4">More...</a><br /></td></tr>
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+<tr class="memdesc:a3597f71f364d94814268d4911f111674"><td class="mdescLeft">&#160;</td><td class="mdescRight">Postfix increment operator for variables (C++).  <a href="namespacestan_1_1math.html#a3597f71f364d94814268d4911f111674">More...</a><br /></td></tr>
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+<a href="operator__unary__increment_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_UNARY_INCREMENT_HPP</span></div>
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+Functions</h2></td></tr>
+<tr class="memitem:aedeee50b418200d06eb867d0ef3b3125"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aedeee50b418200d06eb867d0ef3b3125"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aedeee50b418200d06eb867d0ef3b3125">stan::math::operator-</a> (const fvar&lt; T &gt; &amp;x)</td></tr>
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+<a href="operator__unary__minus_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_FWD_CORE_OPERATOR_UNARY_MINUS_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="v__vari_8hpp_source.html">stan/math/rev/core/v_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
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+<tr class="memdesc:a2f8564365599db5cea0b51b635ea482a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Unary negation operator for variables (C++).  <a href="namespacestan_1_1math.html#a2f8564365599db5cea0b51b635ea482a">More...</a><br /></td></tr>
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+<a href="operator__unary__negative_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_UNARY_NEGATIVE_HPP</span></div>
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+<div class="ttc" id="likely_8hpp_html_a58059a6664c486561d2641a07440ad1a"><div class="ttname"><a href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a></div><div class="ttdeci">#define unlikely(x)  </div><div class="ttdef"><b>Definition:</b> <a href="likely_8hpp_source.html#l00009">likely.hpp:9</a></div></div>
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+<tr class="memdesc:aeee31e071296bea410dd943347b9a65d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Prefix logical negation for the value of variables (C++).  <a href="namespacestan_1_1math.html#aeee31e071296bea410dd943347b9a65d">More...</a><br /></td></tr>
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+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;  }</div>
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+<div class="ttc" id="namespacestan_1_1math_html_aeee31e071296bea410dd943347b9a65d"><div class="ttname"><a href="namespacestan_1_1math.html#aeee31e071296bea410dd943347b9a65d">stan::math::operator!</a></div><div class="ttdeci">bool operator!(const var &amp;a)</div><div class="ttdoc">Prefix logical negation for the value of variables (C++). </div><div class="ttdef"><b>Definition:</b> <a href="operator__unary__not_8hpp_source.html#l00031">operator_unary_not.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
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+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
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+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="ordered__constrain_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a5062f9b21b2fb755ad3189fe236bed93"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a5062f9b21b2fb755ad3189fe236bed93"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5062f9b21b2fb755ad3189fe236bed93">stan::math::ordered_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x)</td></tr>
+<tr class="memdesc:a5062f9b21b2fb755ad3189fe236bed93"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return an increasing ordered vector derived from the specified free vector.  <a href="namespacestan_1_1math.html#a5062f9b21b2fb755ad3189fe236bed93">More...</a><br /></td></tr>
+<tr class="separator:a5062f9b21b2fb755ad3189fe236bed93"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae5638796e15590c237b7eaece1531631"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ae5638796e15590c237b7eaece1531631"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae5638796e15590c237b7eaece1531631">stan::math::ordered_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, T &amp;lp)</td></tr>
+<tr class="memdesc:ae5638796e15590c237b7eaece1531631"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a positive valued, increasing ordered vector derived from the specified free vector and increment the specified log probability reference with the log absolute Jacobian determinant of the transform.  <a href="namespacestan_1_1math.html#ae5638796e15590c237b7eaece1531631">More...</a><br /></td></tr>
+<tr class="separator:ae5638796e15590c237b7eaece1531631"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">ordered_constrain.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="ordered__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_ORDERED_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_ORDERED_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5062f9b21b2fb755ad3189fe236bed93">   23</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a5062f9b21b2fb755ad3189fe236bed93">ordered_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, 1&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      size_type k = x.size();</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">return</span> y;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae5638796e15590c237b7eaece1531631">   56</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a5062f9b21b2fb755ad3189fe236bed93">ordered_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x, T&amp; lp) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
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+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">for</span> (size_type i = 1; i &lt; x.size(); ++i)</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        lp += x(i);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a5062f9b21b2fb755ad3189fe236bed93">ordered_constrain</a>(x);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;}</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5062f9b21b2fb755ad3189fe236bed93"><div class="ttname"><a href="namespacestan_1_1math.html#a5062f9b21b2fb755ad3189fe236bed93">stan::math::ordered_constrain</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; ordered_constrain(const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x)</div><div class="ttdoc">Return an increasing ordered vector derived from the specified free vector. </div><div class="ttdef"><b>Definition:</b> <a href="ordered__constrain_8hpp_source.html#l00023">ordered_constrain.hpp:23</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2err_2check__ordered_8hpp_source.html">stan/math/prim/mat/err/check_ordered.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="ordered__free_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a679b3a9baaf02aeee0c15d763efa06b0"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a679b3a9baaf02aeee0c15d763efa06b0"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a679b3a9baaf02aeee0c15d763efa06b0">stan::math::ordered_free</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;y)</td></tr>
+<tr class="memdesc:a679b3a9baaf02aeee0c15d763efa06b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the vector of unconstrained scalars that transform to the specified positive ordered vector.  <a href="namespacestan_1_1math.html#a679b3a9baaf02aeee0c15d763efa06b0">More...</a><br /></td></tr>
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+<a href="ordered__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_ORDERED_FREE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_ORDERED_FREE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2err_2check__ordered_8hpp.html">stan/math/prim/mat/err/check_ordered.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a679b3a9baaf02aeee0c15d763efa06b0">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a679b3a9baaf02aeee0c15d763efa06b0">ordered_free</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; y) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af55e7669a804e68bc9d39ecd06318b23">stan::math::check_ordered</a>(<span class="stringliteral">&quot;stan::math::ordered_free&quot;</span>,</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
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+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, 1&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; x(k);</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">return</span> x;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  }</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;}</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="mat_2err_2check__ordered_8hpp_html"><div class="ttname"><a href="mat_2err_2check__ordered_8hpp.html">check_ordered.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_af55e7669a804e68bc9d39ecd06318b23"><div class="ttname"><a href="namespacestan_1_1math.html#af55e7669a804e68bc9d39ecd06318b23">stan::math::check_ordered</a></div><div class="ttdeci">bool check_ordered(const char *function, const char *name, const std::vector&lt; T_y &gt; &amp;y)</div><div class="ttdoc">Return true if the specified vector is sorted into strictly increasing order. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2err_2check__ordered_8hpp_source.html#l00030">check_ordered.hpp:30</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m__exp_8hpp_source.html">stan/math/prim/scal/fun/log1m_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p__exp_8hpp_source.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="categorical__rng_8hpp_source.html">stan/math/prim/mat/prob/categorical_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+</div>
+<p><a href="ordered__logistic__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ad4e08116b9ebf4a6592aa9f8fa393669"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad4e08116b9ebf4a6592aa9f8fa393669"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad4e08116b9ebf4a6592aa9f8fa393669">stan::math::log_inv_logit_diff</a> (const T &amp;alpha, const T &amp;beta)</td></tr>
+<tr class="separator:ad4e08116b9ebf4a6592aa9f8fa393669"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aae845ae3d07989bc9976a15f52caa997"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_lambda , typename T_cut &gt; </td></tr>
+<tr class="memitem:aae845ae3d07989bc9976a15f52caa997"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_lambda, T_cut &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aae845ae3d07989bc9976a15f52caa997">stan::math::ordered_logistic_log</a> (int y, const T_lambda &amp;lambda, const Eigen::Matrix&lt; T_cut, Eigen::Dynamic, 1 &gt; &amp;c)</td></tr>
+<tr class="memdesc:aae845ae3d07989bc9976a15f52caa997"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the (natural) log probability of the specified integer outcome given the continuous location and specified cutpoints in an ordered logistic model.  <a href="namespacestan_1_1math.html#aae845ae3d07989bc9976a15f52caa997">More...</a><br /></td></tr>
+<tr class="separator:aae845ae3d07989bc9976a15f52caa997"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5623d34d128b956b6dfb2031150c8c87"><td class="memTemplParams" colspan="2">template&lt;typename T_lambda , typename T_cut &gt; </td></tr>
+<tr class="memitem:a5623d34d128b956b6dfb2031150c8c87"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_lambda, T_cut &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5623d34d128b956b6dfb2031150c8c87">stan::math::ordered_logistic_log</a> (int y, const T_lambda &amp;lambda, const Eigen::Matrix&lt; T_cut, Eigen::Dynamic, 1 &gt; &amp;c)</td></tr>
+<tr class="separator:a5623d34d128b956b6dfb2031150c8c87"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">ordered_logistic_log.hpp</div>  </div>
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+<div class="contents">
+<a href="ordered__logistic__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_ORDERED_LOGISTIC_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_ORDERED_LOGISTIC_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m__exp_8hpp.html">stan/math/prim/scal/fun/log1m_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p__exp_8hpp.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="categorical__rng_8hpp.html">stan/math/prim/mat/prob/categorical_rng.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">stan::math::log1m_exp</a>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">stan::math::log1p_exp</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keywordflow">return</span> beta + <a class="code" href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">log1m_exp</a>(alpha - beta) - <a class="code" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">log1p_exp</a>(alpha)</div>
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+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="comment">// y in 0, ..., K-1;   c.size()==K-2, c increasing,  lambda finite</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="comment"></span>    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto, <span class="keyword">typename</span> T_lambda, <span class="keyword">typename</span> T_cut&gt;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_lambda, T_cut&gt;::type</div>
+<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aae845ae3d07989bc9976a15f52caa997">   61</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aae845ae3d07989bc9976a15f52caa997">ordered_logistic_log</a>(<span class="keywordtype">int</span> y, <span class="keyword">const</span> T_lambda&amp; lambda,</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;T_cut, Eigen::Dynamic, 1&gt;&amp; c) {</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">stan::math::log1p_exp</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::ordered_logistic&quot;</span>);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math::check_less</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordtype">int</span> K = c.size() + 1;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y, 1, K);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">check_greater</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Size of cut points parameter&quot;</span>, c.size(), 0);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt; c.size(); ++i)</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">check_greater</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Cut points parameter&quot;</span>, c(i), c(i - 1));</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Cut points parameter&quot;</span>, c(c.size()-1));</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Cut points parameter&quot;</span>, c(0));</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="comment">// log(1 - inv_logit(lambda))</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">if</span> (y == 1)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keywordflow">return</span> -<a class="code" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">log1p_exp</a>(lambda - c(0));</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="comment">// log(inv_logit(lambda - c(K-3)));</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordflow">if</span> (y == K) {</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keywordflow">return</span> -<a class="code" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">log1p_exp</a>(c(K-2) - lambda);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="comment">// if (2 &lt; y &lt; K) { ... }</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="comment">// log(inv_logit(lambda - c(y-2)) - inv_logit(lambda - c(y-1)))</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#ad4e08116b9ebf4a6592aa9f8fa393669">log_inv_logit_diff</a>(c(y-2) - lambda,</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                                c(y-1) - lambda);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_lambda, <span class="keyword">typename</span> T_cut&gt;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_lambda, T_cut&gt;::type</div>
+<div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5623d34d128b956b6dfb2031150c8c87">  107</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aae845ae3d07989bc9976a15f52caa997">ordered_logistic_log</a>(<span class="keywordtype">int</span> y, <span class="keyword">const</span> T_lambda&amp; lambda,</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;T_cut, Eigen::Dynamic, 1&gt;&amp; c) {</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keywordflow">return</span> ordered_logistic_log&lt;false&gt;(y, lambda, c);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    }</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;  }</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;}</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_aab225792149dceaec443ce09b93f8744"><div class="ttname"><a href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math::check_less</a></div><div class="ttdeci">bool check_less(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is strictly less than high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less_8hpp_source.html#l00081">check_less.hpp:81</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a76a22ee34432be58edb4b6ed9469370a"><div class="ttname"><a href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a></div><div class="ttdeci">fvar&lt; T &gt; inv_logit(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv__logit_8hpp_source.html#l00015">inv_logit.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad4e08116b9ebf4a6592aa9f8fa393669"><div class="ttname"><a href="namespacestan_1_1math.html#ad4e08116b9ebf4a6592aa9f8fa393669">stan::math::log_inv_logit_diff</a></div><div class="ttdeci">T log_inv_logit_diff(const T &amp;alpha, const T &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="ordered__logistic__log_8hpp_source.html#l00026">ordered_logistic_log.hpp:26</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7760d28e8fddf268113469b44463de07"><div class="ttname"><a href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">stan::math::log1m_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log1m_exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m__exp_8hpp_source.html#l00016">log1m_exp.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m__exp_8hpp.html">log1m_exp.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e9dd0895901bf876eca824b41f04003"><div class="ttname"><a href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a></div><div class="ttdeci">bool check_less_or_equal(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is less or equal to high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less__or__equal_8hpp_source.html#l00081">check_less_or_equal.hpp:81</a></div></div>
+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1p__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p__exp_8hpp.html">log1p_exp.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0fe928ad2b96b802f6d488ba43167489"><div class="ttname"><a href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">stan::math::log1p_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log1p_exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1p__exp_8hpp_source.html#l00013">log1p_exp.hpp:13</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="categorical__rng_8hpp_html"><div class="ttname"><a href="categorical__rng_8hpp.html">categorical_rng.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__logit_8hpp.html">inv_logit.hpp</a></div></div>
+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aae845ae3d07989bc9976a15f52caa997"><div class="ttname"><a href="namespacestan_1_1math.html#aae845ae3d07989bc9976a15f52caa997">stan::math::ordered_logistic_log</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T_lambda, T_cut &gt;::type ordered_logistic_log(int y, const T_lambda &amp;lambda, const Eigen::Matrix&lt; T_cut, Eigen::Dynamic, 1 &gt; &amp;c)</div><div class="ttdoc">Returns the (natural) log probability of the specified integer outcome given the continuous location ...</div><div class="ttdef"><b>Definition:</b> <a href="ordered__logistic__log_8hpp_source.html#l00061">ordered_logistic_log.hpp:61</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><div class="ttname"><a href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a></div><div class="ttdeci">bool check_greater(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is strictly greater than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater_8hpp_source.html#l00084">check_greater.hpp:84</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/uniform_01.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p__exp_8hpp_source.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="categorical__rng_8hpp_source.html">stan/math/prim/mat/prob/categorical_rng.hpp</a>&gt;</code><br />
+</div>
+<p><a href="ordered__logistic__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a432a3d83d286fe609fc79c6ef4f8ea74"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a432a3d83d286fe609fc79c6ef4f8ea74"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a432a3d83d286fe609fc79c6ef4f8ea74">stan::math::ordered_logistic_rng</a> (const double eta, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;c, RNG &amp;rng)</td></tr>
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+<div class="contents">
+<a href="ordered__logistic__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_ORDERED_LOGISTIC_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_ORDERED_LOGISTIC_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_01.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p__exp_8hpp.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="categorical__rng_8hpp.html">stan/math/prim/mat/prob/categorical_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a432a3d83d286fe609fc79c6ef4f8ea74">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a432a3d83d286fe609fc79c6ef4f8ea74">ordered_logistic_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> eta,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                         <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, 1&gt;&amp; c,</div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
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+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
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+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
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+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5e9dd0895901bf876eca824b41f04003"><div class="ttname"><a href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a></div><div class="ttdeci">bool check_less_or_equal(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is less or equal to high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less__or__equal_8hpp_source.html#l00081">check_less_or_equal.hpp:81</a></div></div>
+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2log1p__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p__exp_8hpp.html">log1p_exp.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a432a3d83d286fe609fc79c6ef4f8ea74"><div class="ttname"><a href="namespacestan_1_1math.html#a432a3d83d286fe609fc79c6ef4f8ea74">stan::math::ordered_logistic_rng</a></div><div class="ttdeci">int ordered_logistic_rng(const double eta, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;c, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="ordered__logistic__rng_8hpp_source.html#l00024">ordered_logistic_rng.hpp:24</a></div></div>
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+<div class="ttc" id="categorical__rng_8hpp_html"><div class="ttname"><a href="categorical__rng_8hpp.html">categorical_rng.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__logit_8hpp.html">inv_logit.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><div class="ttname"><a href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a></div><div class="ttdeci">bool check_greater(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is strictly greater than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater_8hpp_source.html#l00084">check_greater.hpp:84</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;typeinfo&gt;</code><br />
+<code>#include &lt;string&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="out__of__range_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a34583d3983ee4d61d09004ce3e278250"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34583d3983ee4d61d09004ce3e278250">stan::math::out_of_range</a> (const char *function, const int max, const int index, const char *msg1=&quot;&quot;, const char *msg2=&quot;&quot;)</td></tr>
+<tr class="memdesc:a34583d3983ee4d61d09004ce3e278250"><td class="mdescLeft">&#160;</td><td class="mdescRight">Throw an out_of_range exception with a consistently formatted message.  <a href="namespacestan_1_1math.html#a34583d3983ee4d61d09004ce3e278250">More...</a><br /></td></tr>
+<tr class="separator:a34583d3983ee4d61d09004ce3e278250"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="out__of__range_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_ERR_OUT_OF_RANGE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_ERR_OUT_OF_RANGE_HPP</span></div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;              &lt;&lt; msg2;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="title">pareto_ccdf_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="pareto__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ae265a3d80fc60a58c6642e3cb32e5a3e"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:ae265a3d80fc60a58c6642e3cb32e5a3e"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae265a3d80fc60a58c6642e3cb32e5a3e">stan::math::pareto_ccdf_log</a> (const T_y &amp;y, const T_scale &amp;y_min, const T_shape &amp;alpha)</td></tr>
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">pareto_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="pareto__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_PARETO_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_PARETO_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae265a3d80fc60a58c6642e3cb32e5a3e">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae265a3d80fc60a58c6642e3cb32e5a3e">pareto_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale&amp; y_min,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                    <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_scale, T_shape&gt;::type</a></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y_min) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) ) )</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="comment">// Check errors</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::pareto_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, y_min);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, y_min,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> y_min_vec(y_min);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, y_min, alpha);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        operands_and_partials(y, y_min, alpha);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) &lt; <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_min_vec[i]))</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      }</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="comment">// Compute vectorized cdf_log and its gradients</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="comment">// Pull out values</span></div>
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+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                                              / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]));</div>
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+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
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+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        P += alpha_dbl * log_dbl;</div>
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+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
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+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
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+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;  }</div>
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+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae265a3d80fc60a58c6642e3cb32e5a3e"><div class="ttname"><a href="namespacestan_1_1math.html#ae265a3d80fc60a58c6642e3cb32e5a3e">stan::math::pareto_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_scale, T_shape &gt;::type pareto_ccdf_log(const T_y &amp;y, const T_scale &amp;y_min, const T_shape &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="pareto__ccdf__log_8hpp_source.html#l00025">pareto_ccdf_log.hpp:25</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
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+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">pareto_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="pareto__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a04334b6b9aefbc902c156c6ebabd1b7f"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a04334b6b9aefbc902c156c6ebabd1b7f"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a04334b6b9aefbc902c156c6ebabd1b7f">stan::math::pareto_cdf</a> (const T_y &amp;y, const T_scale &amp;y_min, const T_shape &amp;alpha)</td></tr>
+<tr class="separator:a04334b6b9aefbc902c156c6ebabd1b7f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">pareto_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="pareto__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_PARETO_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_PARETO_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a04334b6b9aefbc902c156c6ebabd1b7f">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a04334b6b9aefbc902c156c6ebabd1b7f">pareto_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale&amp; y_min, <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_scale, T_shape&gt;::type</a></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="comment">// Check sizes</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y_min) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) ) )</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="comment">// Check errors</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::pareto_cdf&quot;</span>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, y_min);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, y_min,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> y_min_vec(y_min);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, y_min, alpha);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        operands_and_partials(y, y_min, alpha);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) &lt; <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_min_vec[i]))</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      }</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="comment">// Compute vectorized CDF and its gradients</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        }</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> T_partials_return log_dbl = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_min_vec[n])</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                                              / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]));</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return y_min_inv_dbl = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_min_vec[n]);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(alpha_dbl * log_dbl);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        P *= Pn;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;            += alpha_dbl * y_min_inv_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>((alpha_dbl + 1) * log_dbl)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            / Pn;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            += - alpha_dbl * y_min_inv_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(alpha_dbl * log_dbl) / Pn;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            += - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(alpha_dbl * log_dbl) * log_dbl / Pn;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] *= P;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      }</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y_min); ++n)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] *= P;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      }</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); ++n)</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] *= P;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      }</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    }</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;  }</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;}</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a04334b6b9aefbc902c156c6ebabd1b7f"><div class="ttname"><a href="namespacestan_1_1math.html#a04334b6b9aefbc902c156c6ebabd1b7f">stan::math::pareto_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_scale, T_shape &gt;::type pareto_cdf(const T_y &amp;y, const T_scale &amp;y_min, const T_shape &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="pareto__cdf_8hpp_source.html#l00026">pareto_cdf.hpp:26</a></div></div>
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+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="pareto__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a32b395deb308bc16b82587a97bfb1eba"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a32b395deb308bc16b82587a97bfb1eba"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a32b395deb308bc16b82587a97bfb1eba">stan::math::pareto_cdf_log</a> (const T_y &amp;y, const T_scale &amp;y_min, const T_shape &amp;alpha)</td></tr>
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+<a href="pareto__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_PARETO_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_PARETO_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a32b395deb308bc16b82587a97bfb1eba">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a32b395deb308bc16b82587a97bfb1eba">pareto_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale&amp; y_min, <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_scale, T_shape&gt;::type</a></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y_min) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) ) )</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="comment">// Check errors</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::pareto_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, y_min);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, y_min,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> y_min_vec(y_min);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, y_min, alpha);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        operands_and_partials(y, y_min, alpha);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) &lt; <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_min_vec[i]))</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="comment">// Compute vectorized cdf_log and its gradients</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        }</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">const</span> T_partials_return log_dbl = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_min_vec[n])</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                                              / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]));</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> T_partials_return y_min_inv_dbl = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_min_vec[n]);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 - <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(alpha_dbl * log_dbl);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;            += alpha_dbl * y_min_inv_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>((alpha_dbl + 1) * log_dbl) / Pn;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            -= alpha_dbl * y_min_inv_dbl * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(alpha_dbl * log_dbl) / Pn;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            -= <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(alpha_dbl * log_dbl) * log_dbl / Pn;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      }</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;  }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;}</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
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+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a32b395deb308bc16b82587a97bfb1eba"><div class="ttname"><a href="namespacestan_1_1math.html#a32b395deb308bc16b82587a97bfb1eba">stan::math::pareto_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_scale, T_shape &gt;::type pareto_cdf_log(const T_y &amp;y, const T_scale &amp;y_min, const T_shape &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="pareto__cdf__log_8hpp_source.html#l00025">pareto_cdf_log.hpp:25</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
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+<div class="title">pareto_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="pareto__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a4eefb96c196d0c61694de1fda5d9a8c6"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a4eefb96c196d0c61694de1fda5d9a8c6"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4eefb96c196d0c61694de1fda5d9a8c6">stan::math::pareto_log</a> (const T_y &amp;y, const T_scale &amp;y_min, const T_shape &amp;alpha)</td></tr>
+<tr class="separator:a4eefb96c196d0c61694de1fda5d9a8c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3f851b988a9325dc6ea8398d45ff1601"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a3f851b988a9325dc6ea8398d45ff1601"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3f851b988a9325dc6ea8398d45ff1601">stan::math::pareto_log</a> (const T_y &amp;y, const T_scale &amp;y_min, const T_shape &amp;alpha)</td></tr>
+<tr class="separator:a3f851b988a9325dc6ea8398d45ff1601"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">pareto_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="pareto__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_PARETO_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_PARETO_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="comment">// Pareto(y|y_m, alpha)  [y &gt; y_m;  y_m &gt; 0;  alpha &gt; 0]</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a4eefb96c196d0c61694de1fda5d9a8c6">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4eefb96c196d0c61694de1fda5d9a8c6">pareto_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale&amp; y_min, <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::pareto_log&quot;</span>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_scale, T_shape&gt;::type</a></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y_min)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)))</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, y_min);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, y_min,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_scale, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> y_min_vec(y_min);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, y_min, alpha);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">if</span> (y_vec[n] &lt; y_min_vec[n])</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      }</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        operands_and_partials(y, y_min, alpha);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                    T_partials_return, T_y&gt; log_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++)</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          log_y[n] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]));</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;contains_nonconstant_struct&lt;T_y, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                    T_partials_return, T_y&gt; inv_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_y, T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); n++)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          inv_y[n] = 1 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      }</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                    T_partials_return, T_scale&gt;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        log_y_min(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y_min));</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale, T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y_min); n++)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          log_y_min[n] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_min_vec[n]));</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      }</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;                    T_partials_return, T_shape&gt; log_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); n++)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          log_alpha[n] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]));</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="comment">// log probability</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          logp += log_alpha[n];</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          logp += alpha_dbl * log_y_min[n];</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          logp -= alpha_dbl * log_y[n] + log_y[n];</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= alpha_dbl * inv_y[n] + inv_y[n];</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += alpha_dbl / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_min_vec[n]);</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;            += 1 / alpha_dbl + log_y_min[n] - log_y[n];</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      }</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    }</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_scale, T_shape&gt;::type</a></div>
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+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      <span class="keywordflow">return</span> pareto_log&lt;false&gt;(y, y_min, alpha);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;    }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;  }</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;}</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a4eefb96c196d0c61694de1fda5d9a8c6"><div class="ttname"><a href="namespacestan_1_1math.html#a4eefb96c196d0c61694de1fda5d9a8c6">stan::math::pareto_log</a></div><div class="ttdeci">return_type&lt; T_y, T_scale, T_shape &gt;::type pareto_log(const T_y &amp;y, const T_scale &amp;y_min, const T_shape &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="pareto__log_8hpp_source.html#l00029">pareto_log.hpp:29</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_acd99e429af3a997976a017d6a580e3f9"><div class="ttname"><a href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">stan::math::LOG_ZERO</a></div><div class="ttdeci">const double LOG_ZERO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00175">constants.hpp:175</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/exponential_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
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+<tr class="memitem:a624fd25c2bd925d2b96971c70b695245"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a624fd25c2bd925d2b96971c70b695245"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a624fd25c2bd925d2b96971c70b695245">stan::math::pareto_rng</a> (const double y_min, const double alpha, RNG &amp;rng)</td></tr>
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+<a href="pareto__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_PARETO_RNG_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/exponential_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a624fd25c2bd925d2b96971c70b695245">   21</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a624fd25c2bd925d2b96971c70b695245">pareto_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> y_min,</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;               <span class="keyword">const</span> <span class="keywordtype">double</span> alpha,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;               RNG&amp; rng) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> boost::exponential_distribution;</div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::pareto_rng&quot;</span>);</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, y_min);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      variate_generator&lt;RNG&amp;, exponential_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        exp_rng(rng, exponential_distribution&lt;&gt;(alpha));</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">return</span> y_min * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>(exp_rng());</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    }</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;}</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a624fd25c2bd925d2b96971c70b695245"><div class="ttname"><a href="namespacestan_1_1math.html#a624fd25c2bd925d2b96971c70b695245">stan::math::pareto_rng</a></div><div class="ttdeci">double pareto_rng(const double y_min, const double alpha, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="pareto__rng_8hpp_source.html#l00021">pareto_rng.hpp:21</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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diff --git a/doc/api/html/pareto__type__2__ccdf__log_8hpp.html b/doc/api/html/pareto__type__2__ccdf__log_8hpp.html
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+<div class="title">pareto_type_2_ccdf_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="pareto__type__2__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ab4f7adad4637fb745bceb3be2db2c6d2"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:ab4f7adad4637fb745bceb3be2db2c6d2"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab4f7adad4637fb745bceb3be2db2c6d2">stan::math::pareto_type_2_ccdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;lambda, const T_shape &amp;alpha)</td></tr>
+<tr class="separator:ab4f7adad4637fb745bceb3be2db2c6d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">pareto_type_2_ccdf_log.hpp</div>  </div>
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+<div class="contents">
+<a href="pareto__type__2__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_PARETO_TYPE_2_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_PARETO_TYPE_2_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab4f7adad4637fb745bceb3be2db2c6d2">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab4f7adad4637fb745bceb3be2db2c6d2">pareto_type_2_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                           <span class="keyword">const</span> T_scale&amp; lambda, <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">typedef</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</a></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="comment">// Check sizes</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) ) )</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// Check errors</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::pareto_type_2_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">check_greater_or_equal</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y, mu);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, lambda,</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, lambda, alpha);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        operands_and_partials(y, mu, lambda, alpha);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<span class="keyword">true</span>, T_partials_return,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                    T_y, T_loc, T_scale, T_shape&gt;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        ccdf_log(N);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct</a>&lt;T_y, T_loc, T_scale,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                                                T_shape&gt;::value,</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                    T_partials_return, T_y, T_loc, T_scale, T_shape&gt;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        a_over_lambda_plus_y(N);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                    T_partials_return, T_y, T_loc, T_scale, T_shape&gt;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        log_1p_y_over_lambda(N);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[i]);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[i]);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keyword">const</span> T_partials_return temp = 1.0 + (y_dbl - mu_dbl) / lambda_dbl;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return log_temp = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(temp);</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        ccdf_log[i] = -alpha_dbl * log_temp;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_y, T_loc, T_scale, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          a_over_lambda_plus_y[i] = alpha_dbl / (y_dbl - mu_dbl + lambda_dbl);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          log_1p_y_over_lambda[i] = log_temp;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      }</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="comment">// Compute vectorized CDF and its gradients</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[n]);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        P += ccdf_log[n];</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= a_over_lambda_plus_y[n];</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += a_over_lambda_plus_y[n];</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += a_over_lambda_plus_y[n]</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            * (y_dbl - mu_dbl) / lambda_dbl;</div>
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+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n] -= log_1p_y_over_lambda[n];</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      }</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    }</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;  }</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;}</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab4f7adad4637fb745bceb3be2db2c6d2"><div class="ttname"><a href="namespacestan_1_1math.html#ab4f7adad4637fb745bceb3be2db2c6d2">stan::math::pareto_type_2_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type pareto_type_2_ccdf_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;lambda, const T_shape &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="pareto__type__2__ccdf__log_8hpp_source.html#l00026">pareto_type_2_ccdf_log.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1contains__nonconstant__struct_html"><div class="ttname"><a href="structstan_1_1contains__nonconstant__struct.html">stan::contains_nonconstant_struct</a></div><div class="ttdef"><b>Definition:</b> <a href="contains__nonconstant__struct_8hpp_source.html#l00014">contains_nonconstant_struct.hpp:14</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a173c58a8fd989264209ca8b451effc2e"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials::d_x4</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00042">OperandsAndPartials.hpp:42</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">pareto_type_2_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="pareto__type__2__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a6aa9090877913c41608ec9edc7644718"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a6aa9090877913c41608ec9edc7644718"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6aa9090877913c41608ec9edc7644718">stan::math::pareto_type_2_cdf</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;lambda, const T_shape &amp;alpha)</td></tr>
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+<div class="title">pareto_type_2_cdf.hpp</div>  </div>
+</div><!--header-->
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+<a href="pareto__type__2__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_PARETO_TYPE_2_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_PARETO_TYPE_2_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6aa9090877913c41608ec9edc7644718">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6aa9090877913c41608ec9edc7644718">pareto_type_2_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                      <span class="keyword">const</span> T_scale&amp; lambda, <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="comment">// Check sizes</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) ) )</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="comment">// Check errors</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::pareto_type_2_cdf&quot;</span>);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">check_greater_or_equal</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y, mu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, lambda,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, lambda, alpha);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        operands_and_partials(y, mu, lambda, alpha);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<span class="keyword">true</span>, T_partials_return,</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                    T_y, T_loc, T_scale, T_shape&gt;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        p1_pow_alpha(N);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;contains_nonconstant_struct&lt;T_y, T_loc, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                    T_partials_return, T_y, T_loc, T_scale, T_shape&gt;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        grad_1_2(N);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;contains_nonconstant_struct&lt;T_shape, T_y&gt;::value</a>,</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                    T_partials_return, T_y, T_loc, T_scale, T_shape&gt;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        grad_3(N);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[i]);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">const</span> T_partials_return temp = 1 + (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i])</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                                            - <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[i]))</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;          / lambda_dbl;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        p1_pow_alpha[i] = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(temp, -alpha_dbl);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1contains__nonconstant__struct.html">contains_nonconstant_struct&lt;T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          grad_1_2[i] = p1_pow_alpha[i] / temp * alpha_dbl / lambda_dbl;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          grad_3[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(temp) * p1_pow_alpha[i];</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="comment">// Compute vectorized CDF and its gradients</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[n]);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 - p1_pow_alpha[n];</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        P *= Pn;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += grad_1_2[n] / Pn;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= grad_1_2[n] / Pn;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += (mu_dbl - y_dbl)</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;            * grad_1_2[n] / lambda_dbl / Pn;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n] += grad_3[n] / Pn;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      }</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] *= P;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      }</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>) {</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu); ++n)</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] *= P;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;      }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>) {</div>
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+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] *= P;</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;      }</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
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+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n] *= P;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      }</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  }</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;}</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="contains__nonconstant__struct_8hpp_html"><div class="ttname"><a href="contains__nonconstant__struct_8hpp.html">contains_nonconstant_struct.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a6aa9090877913c41608ec9edc7644718"><div class="ttname"><a href="namespacestan_1_1math.html#a6aa9090877913c41608ec9edc7644718">stan::math::pareto_type_2_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type pareto_type_2_cdf(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;lambda, const T_shape &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="pareto__type__2__cdf_8hpp_source.html#l00027">pareto_type_2_cdf.hpp:27</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a173c58a8fd989264209ca8b451effc2e"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials::d_x4</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00042">OperandsAndPartials.hpp:42</a></div></div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">pareto_type_2_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="pareto__type__2__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:acc69970c0086687e5c19c7c3d4fe5108"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:acc69970c0086687e5c19c7c3d4fe5108"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acc69970c0086687e5c19c7c3d4fe5108">stan::math::pareto_type_2_cdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;lambda, const T_shape &amp;alpha)</td></tr>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">pareto_type_2_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="pareto__type__2__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_PARETO_TYPE_2_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_PARETO_TYPE_2_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#acc69970c0086687e5c19c7c3d4fe5108">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#acc69970c0086687e5c19c7c3d4fe5108">pareto_type_2_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                          <span class="keyword">const</span> T_scale&amp; lambda, <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="comment">// Check sizes</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordflow">if</span> ( !( <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;              &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha) ) )</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="comment">// Check errors</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::pareto_type_2_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">check_greater_or_equal</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y, mu);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, lambda,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
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+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, lambda, alpha);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        operands_and_partials(y, mu, lambda, alpha);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<span class="keyword">true</span>, T_partials_return,</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                    T_y, T_loc, T_scale, T_shape&gt;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        cdf_log(N);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder</a>&lt;<span class="keyword">true</span>, T_partials_return,</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                    T_y, T_loc, T_scale, T_shape&gt;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        inv_p1_pow_alpha_minus_one(N);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                    T_partials_return, T_y, T_loc, T_scale, T_shape&gt;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        log_1p_y_over_lambda(N);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keyword">const</span> T_partials_return temp = 1.0 + (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i])</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                                              - <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[i]))</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[i]);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return p1_pow_alpha</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(temp, <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]));</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        cdf_log[i] = <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(1.0 / p1_pow_alpha);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        inv_p1_pow_alpha_minus_one[i] = 1.0 / (p1_pow_alpha - 1.0);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          log_1p_y_over_lambda[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(temp);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="comment">// Compute vectorized CDF and its gradients</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[n]);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keyword">const</span> T_partials_return grad_1_2 =  alpha_dbl</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          * inv_p1_pow_alpha_minus_one[n] / (lambda_dbl - mu_dbl + y_dbl);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        P += cdf_log[n];</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += grad_1_2;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= grad_1_2;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += (mu_dbl - y_dbl) * grad_1_2</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;            / lambda_dbl;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n] += log_1p_y_over_lambda[n]</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;            * inv_p1_pow_alpha_minus_one[n];</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      }</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    }</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  }</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;}</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="pareto__type__2__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a078e211e38ac272092603cdf728f3f02"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a078e211e38ac272092603cdf728f3f02"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a078e211e38ac272092603cdf728f3f02">stan::math::pareto_type_2_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;lambda, const T_shape &amp;alpha)</td></tr>
+<tr class="separator:a078e211e38ac272092603cdf728f3f02"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5bd3253943ad32c19d36887e748a4aa6"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a5bd3253943ad32c19d36887e748a4aa6"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5bd3253943ad32c19d36887e748a4aa6">stan::math::pareto_type_2_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;lambda, const T_shape &amp;alpha)</td></tr>
+<tr class="separator:a5bd3253943ad32c19d36887e748a4aa6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="contents">
+<a href="pareto__type__2__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_PARETO_TYPE_2_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_PARETO_TYPE_2_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="comment">// pareto_type_2(y|lambda, alpha)  [y &gt;= 0;  lambda &gt; 0;  alpha &gt; 0]</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a078e211e38ac272092603cdf728f3f02">   30</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a078e211e38ac272092603cdf728f3f02">pareto_type_2_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; lambda,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                      <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::pareto_type_2_log&quot;</span>);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">typedef</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</a></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)))</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">check_greater_or_equal</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y, mu);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, lambda,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, lambda, alpha);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        operands_and_partials(y, mu, lambda, alpha);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_loc, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                    ::value,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                    T_partials_return, T_y, T_loc, T_scale&gt;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        log1p_scaled_diff(N);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale, T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          log1p_scaled_diff[n] = <a class="code" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">log1p</a>((<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n])</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                                        - <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]))</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                                       / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[n]));</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                    T_partials_return, T_scale&gt; log_lambda(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(lambda));</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(lambda); n++)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          log_lambda[n] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[n]));</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      }</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                    T_partials_return, T_shape&gt; log_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); n++)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          log_alpha[n] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]));</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                    T_partials_return, T_shape&gt; inv_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); n++)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          inv_alpha[n] = 1 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      }</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[n]);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keyword">const</span> T_partials_return sum_dbl = lambda_dbl + y_dbl - mu_dbl;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keyword">const</span> T_partials_return inv_sum = 1.0 / sum_dbl;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_div_sum = alpha_dbl / sum_dbl;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_1_2 = inv_sum + alpha_div_sum;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="comment">// // log probability</span></div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;          logp += log_alpha[n];</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          logp -= log_lambda[n];</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_scale, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;          logp -= (alpha_dbl + 1.0) * log1p_scaled_diff[n];</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= deriv_1_2;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += deriv_1_2;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= alpha_div_sum * (mu_dbl - y_dbl)</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            / lambda_dbl + inv_sum;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n] += inv_alpha[n] - log1p_scaled_diff[n];</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      }</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    }</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</a></div>
+<div class="line"><a name="l00149"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5bd3253943ad32c19d36887e748a4aa6">  149</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a078e211e38ac272092603cdf728f3f02">pareto_type_2_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                      <span class="keyword">const</span> T_scale&amp; lambda, <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;      <span class="keywordflow">return</span> pareto_type_2_log&lt;false&gt;(y, mu, lambda, alpha);</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    }</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;  }</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;}</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3d5b19f8930c14681349d8444142487e"><div class="ttname"><a href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a></div><div class="ttdeci">bool check_greater_or_equal(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is greater or equal than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater__or__equal_8hpp_source.html#l00084">check_greater_or_equal.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa16e57e82fb1e17f74ef43592748ff32"><div class="ttname"><a href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">stan::math::log1p</a></div><div class="ttdeci">fvar&lt; T &gt; log1p(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1p_8hpp_source.html#l00016">log1p.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a078e211e38ac272092603cdf728f3f02"><div class="ttname"><a href="namespacestan_1_1math.html#a078e211e38ac272092603cdf728f3f02">stan::math::pareto_type_2_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type pareto_type_2_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;lambda, const T_shape &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="pareto__type__2__log_8hpp_source.html#l00030">pareto_type_2_log.hpp:30</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a173c58a8fd989264209ca8b451effc2e"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials::d_x4</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00042">OperandsAndPartials.hpp:42</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="uniform__rng_8hpp_source.html">stan/math/prim/scal/prob/uniform_rng.hpp</a>&gt;</code><br />
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+<p><a href="pareto__type__2__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:af55974320ebae90f0e36341934d8a57b"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:af55974320ebae90f0e36341934d8a57b"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af55974320ebae90f0e36341934d8a57b">stan::math::pareto_type_2_rng</a> (const double mu, const double lambda, const double alpha, RNG &amp;rng)</td></tr>
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+<a href="pareto__type__2__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_PARETO_TYPE_2_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_PARETO_TYPE_2_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="uniform__rng_8hpp.html">stan/math/prim/scal/prob/uniform_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="check__greater__or__equal_8hpp_html"><div class="ttname"><a href="check__greater__or__equal_8hpp.html">check_greater_or_equal.hpp</a></div></div>
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+<hr/>
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+<div class="title">partial_derivative.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="fwd_2core_8hpp_source.html">stan/math/fwd/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="partial__derivative_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:af75dae6137f91377c351b2f648b1c18e"><td class="memTemplParams" colspan="2">template&lt;typename T , typename F &gt; </td></tr>
+<tr class="memitem:af75dae6137f91377c351b2f648b1c18e"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af75dae6137f91377c351b2f648b1c18e">stan::math::partial_derivative</a> (const F &amp;f, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, int n, T &amp;fx, T &amp;dfx_dxn)</td></tr>
+<tr class="memdesc:af75dae6137f91377c351b2f648b1c18e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the partial derivative of the specified multiivariate function at the specified argument.  <a href="namespacestan_1_1math.html#af75dae6137f91377c351b2f648b1c18e">More...</a><br /></td></tr>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      dfx_dxn = fx_fvar.<a class="code" href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">d_</a>;</div>
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+<div class="ttc" id="fwd_2core_8hpp_html"><div class="ttname"><a href="fwd_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a8478b986831654e68268036549d4489c"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a8478b986831654e68268036549d4489c">stan::math::fvar::d_</a></div><div class="ttdeci">T d_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00015">fvar.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html_a5d2e56f89a8dec57599a7d3e62e5e256"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html#a5d2e56f89a8dec57599a7d3e62e5e256">stan::math::fvar::val_</a></div><div class="ttdeci">T val_</div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00014">fvar.hpp:14</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1fvar_html"><div class="ttname"><a href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a></div><div class="ttdef"><b>Definition:</b> <a href="fvar_8hpp_source.html#l00013">fvar.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af75dae6137f91377c351b2f648b1c18e"><div class="ttname"><a href="namespacestan_1_1math.html#af75dae6137f91377c351b2f648b1c18e">stan::math::partial_derivative</a></div><div class="ttdeci">void partial_derivative(const F &amp;f, const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, int n, T &amp;fx, T &amp;dfx_dxn)</div><div class="ttdoc">Return the partial derivative of the specified multiivariate function at the specified argument...</div><div class="ttdef"><b>Definition:</b> <a href="partial__derivative_8hpp_source.html#l00027">partial_derivative.hpp:27</a></div></div>
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+<div class="title">partials_return_type.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2meta_2partials__type_8hpp_source.html">stan/math/prim/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+</div>
+<p><a href="partials__return__type_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">partials_return_type.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="partials__return__type_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_PARTIALS_RETURN_TYPE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_PARTIALS_RETURN_TYPE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2partials__type_8hpp.html">stan/math/prim/scal/meta/partials_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2scalar__type_8hpp.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1,</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;              <span class="keyword">typename</span> T2 = double,</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;              <span class="keyword">typename</span> T3 = double,</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;              <span class="keyword">typename</span> T4 = double,</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;              <span class="keyword">typename</span> T5 = double,</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;              <span class="keyword">typename</span> T6 = <span class="keywordtype">double</span>&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="structstan_1_1partials__return__type.html">   16</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1partials__return__type.html">partials_return_type</a> {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span></div>
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+<div class="title">poisson_ccdf_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/poisson_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="poisson__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:ad069a055750c038c054eb7ecabfb53bf"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_rate &gt; </td></tr>
+<tr class="memitem:ad069a055750c038c054eb7ecabfb53bf"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_rate &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad069a055750c038c054eb7ecabfb53bf">stan::math::poisson_ccdf_log</a> (const T_n &amp;n, const T_rate &amp;lambda)</td></tr>
+<tr class="separator:ad069a055750c038c054eb7ecabfb53bf"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</div><!--header-->
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+<a href="poisson__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_POISSON_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_POISSON_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/poisson_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_rate&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_rate&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad069a055750c038c054eb7ecabfb53bf">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad069a055750c038c054eb7ecabfb53bf">poisson_ccdf_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_rate&amp; lambda) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::poisson_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_rate&gt;::type</a></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="comment">// Ensure non-zero argument slengths</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)))</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                             <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="comment">// Wrap arguments into vector views</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_rate&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, lambda);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_rate&gt;</a> operands_and_partials(lambda);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as neg infinity</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) == <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::numeric_limits&lt;int&gt;::max</a>())</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[i]);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = 1.0 - <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(n_dbl+1, lambda_dbl);</div>
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+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pi);</div>
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+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_rate&gt;::value</a>)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] += <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-lambda_dbl)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(lambda_dbl, n_dbl) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(n_dbl+1) / Pi;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      }</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;  }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;}</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
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+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/poisson_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
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+<p><a href="poisson__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a84009ffe822acedc6362015fd08107be"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_rate &gt; </td></tr>
+<tr class="memitem:a84009ffe822acedc6362015fd08107be"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_rate &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a84009ffe822acedc6362015fd08107be">stan::math::poisson_cdf</a> (const T_n &amp;n, const T_rate &amp;lambda)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">poisson_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="poisson__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_POISSON_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_POISSON_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/poisson_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="comment">// Poisson CDF</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_rate&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_rate&gt;::type</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a84009ffe822acedc6362015fd08107be">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a84009ffe822acedc6362015fd08107be">poisson_cdf</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_rate&amp; lambda) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::poisson_cdf&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_rate&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="comment">// Ensure non-zero argument slengths</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)))</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                             <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="comment">// Wrap arguments into vector views</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_rate&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, lambda);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_rate&gt;</a> operands_and_partials(lambda);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) == <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::numeric_limits&lt;int&gt;::max</a>())</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[i]);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(n_dbl+1, lambda_dbl);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        P *= Pi;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_rate&gt;::value</a>)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] -= <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-lambda_dbl)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(lambda_dbl, n_dbl) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(n_dbl+1) / Pi;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      }</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_rate&gt;::value</a>) {</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda); ++i)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] *= P;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;    }</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;  }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;}</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="title">poisson_cdf_log.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/poisson_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
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+<p><a href="poisson__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:acc9138a37ffe00ff85c6824447e85db1"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_rate &gt; </td></tr>
+<tr class="memitem:acc9138a37ffe00ff85c6824447e85db1"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_rate &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acc9138a37ffe00ff85c6824447e85db1">stan::math::poisson_cdf_log</a> (const T_n &amp;n, const T_rate &amp;lambda)</td></tr>
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diff --git a/doc/api/html/poisson__cdf__log_8hpp_source.html b/doc/api/html/poisson__cdf__log_8hpp_source.html
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">poisson_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="poisson__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_POISSON_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_POISSON_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/poisson_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_rate&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_rate&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#acc9138a37ffe00ff85c6824447e85db1">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#acc9138a37ffe00ff85c6824447e85db1">poisson_cdf_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_rate&amp; lambda) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::poisson_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_rate&gt;::type</a></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="comment">// Ensure non-zero argument slengths</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)))</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// Validate arguments</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                             <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="comment">// Wrap arguments into vector views</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_rate&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, lambda);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_rate&gt;</a> operands_and_partials(lambda);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as neg infinity</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n); i++) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) &lt; 0)</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]) == <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::numeric_limits&lt;int&gt;::max</a>())</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> T_partials_return n_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(n_vec[i]);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">const</span> T_partials_return lambda_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda_vec[i]);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> T_partials_return Pi = <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(n_dbl+1, lambda_dbl);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
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+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(lambda_dbl, n_dbl) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(n_dbl+1) / Pi;</div>
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+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">poisson_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/poisson_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="poisson__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:ae7a95ee36796c1a077510303bb2535c2"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_n , typename T_rate &gt; </td></tr>
+<tr class="memitem:ae7a95ee36796c1a077510303bb2535c2"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_rate &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae7a95ee36796c1a077510303bb2535c2">stan::math::poisson_log</a> (const T_n &amp;n, const T_rate &amp;lambda)</td></tr>
+<tr class="separator:ae7a95ee36796c1a077510303bb2535c2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a202d918359198306069f71f1477a046f"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_rate &gt; </td></tr>
+<tr class="memitem:a202d918359198306069f71f1477a046f"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_rate &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a202d918359198306069f71f1477a046f">stan::math::poisson_log</a> (const T_n &amp;n, const T_rate &amp;lambda)</td></tr>
+<tr class="separator:a202d918359198306069f71f1477a046f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">poisson_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="poisson__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/random/poisson_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="comment">// Poisson(n|lambda)  [lambda &gt; 0;  n &gt;= 0]</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto, <span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_rate&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_rate&gt;::type</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae7a95ee36796c1a077510303bb2535c2">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae7a95ee36796c1a077510303bb2535c2">poisson_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_rate&amp; lambda) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_rate&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::poisson_log&quot;</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">boost::math::lgamma</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(lambda)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="comment">// validate args</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, n);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_rate&gt;::value</a>)</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// set up expression templates wrapping scalars/vecs into vector views</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_rate&gt;</a> lambda_vec(lambda);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, lambda);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++)</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a>(lambda_vec[i]))</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++)</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">if</span> (lambda_vec[i] == 0 &amp;&amp; n_vec[i] != 0)</div>
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+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="comment">// return accumulator with gradients</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_rate&gt;</a> operands_and_partials(lambda);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
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+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">if</span> (!(lambda_vec[i] == 0 &amp;&amp; n_vec[i] == 0)) {</div>
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+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
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+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">return</span> poisson_log&lt;false&gt;(n, lambda);</div>
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+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;  }</div>
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+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
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+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a3d7d6e376e25db9cff72f82ca4c3e684"><div class="ttname"><a href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a></div><div class="ttdeci">bool isinf(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is infinite. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isinf_8hpp_source.html#l00022">boost_isinf.hpp:22</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae7a95ee36796c1a077510303bb2535c2"><div class="ttname"><a href="namespacestan_1_1math.html#ae7a95ee36796c1a077510303bb2535c2">stan::math::poisson_log</a></div><div class="ttdeci">return_type&lt; T_rate &gt;::type poisson_log(const T_n &amp;n, const T_rate &amp;lambda)</div><div class="ttdef"><b>Definition:</b> <a href="poisson__log_8hpp_source.html#l00029">poisson_log.hpp:29</a></div></div>
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+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="title">poisson_log_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/poisson_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="poisson__log__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a4a06118d9d96bde7ee5d8c28eb08e5ec"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_n , typename T_log_rate &gt; </td></tr>
+<tr class="memitem:a4a06118d9d96bde7ee5d8c28eb08e5ec"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_log_rate &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4a06118d9d96bde7ee5d8c28eb08e5ec">stan::math::poisson_log_log</a> (const T_n &amp;n, const T_log_rate &amp;alpha)</td></tr>
+<tr class="separator:a4a06118d9d96bde7ee5d8c28eb08e5ec"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5d441b4aee12ece4fc2d1b4d8027c7a0"><td class="memTemplParams" colspan="2">template&lt;typename T_n , typename T_log_rate &gt; </td></tr>
+<tr class="memitem:a5d441b4aee12ece4fc2d1b4d8027c7a0"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_log_rate &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5d441b4aee12ece4fc2d1b4d8027c7a0">stan::math::poisson_log_log</a> (const T_n &amp;n, const T_log_rate &amp;alpha)</td></tr>
+<tr class="separator:a5d441b4aee12ece4fc2d1b4d8027c7a0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </i>
+  </span>
+</div>
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+<div class="title">poisson_log_log.hpp</div>  </div>
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+<div class="contents">
+<a href="poisson__log__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/poisson_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="comment">// PoissonLog(n|alpha)  [n &gt;= 0]   = Poisson(n|exp(alpha))</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;              <span class="keyword">typename</span> T_n, <span class="keyword">typename</span> T_log_rate&gt;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_log_rate&gt;::type</div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a4a06118d9d96bde7ee5d8c28eb08e5ec">   32</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4a06118d9d96bde7ee5d8c28eb08e5ec">poisson_log_log</a>(<span class="keyword">const</span> T_n&amp; n, <span class="keyword">const</span> T_log_rate&amp; alpha) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_n, T_log_rate&gt;::type</a></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::poisson_log_log&quot;</span>);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">boost::math::lgamma</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(n)</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)))</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="comment">// validate args</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, n);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Log rate parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, n,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Log rate parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_log_rate&gt;::value</a>)</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// set up expression templates wrapping scalars/vecs into vector views</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_n&gt;</a> n_vec(n);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_log_rate&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a> = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(n, alpha);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="comment">// FIXME: first loop size of alpha_vec, second loop if-ed for size==1</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (std::numeric_limits&lt;double&gt;::infinity() == alpha_vec[i])</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span> (-std::numeric_limits&lt;double&gt;::infinity() == alpha_vec[i]</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;            &amp;&amp; n_vec[i] != 0)</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="comment">// return accumulator with gradients</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_log_rate&gt;</a> operands_and_partials(alpha);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="comment">// FIXME: cache value_of for alpha_vec?  faster if only one?</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_log_rate&gt;::value</a>,</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                    T_partials_return, T_log_rate&gt;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        exp_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); i++)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_log_rate&gt;::value</a>)</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          exp_alpha[i] = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; i++) {</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keywordflow">if</span> (!(alpha_vec[i] == -std::numeric_limits&lt;double&gt;::infinity()</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;              &amp;&amp; n_vec[i] == 0)) {</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            logp -= <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(n_vec[i] + 1.0);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_log_rate&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            logp += n_vec[i] * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]) - exp_alpha[i];</div>
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+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_log_rate&gt;::value</a>)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[i] += n_vec[i] - exp_alpha[i];</div>
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+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  }</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;}</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a4a06118d9d96bde7ee5d8c28eb08e5ec"><div class="ttname"><a href="namespacestan_1_1math.html#a4a06118d9d96bde7ee5d8c28eb08e5ec">stan::math::poisson_log_log</a></div><div class="ttdeci">return_type&lt; T_log_rate &gt;::type poisson_log_log(const T_n &amp;n, const T_log_rate &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="poisson__log__log_8hpp_source.html#l00032">poisson_log_log.hpp:32</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aead76f03bdbc60484ad760fc31bad40f"><div class="ttname"><a href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a></div><div class="ttdeci">fvar&lt; T &gt; lgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">lgamma.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/poisson_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
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+<tr class="memitem:ac3cdc8d2997b25f9ed799555ecf37106"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:ac3cdc8d2997b25f9ed799555ecf37106"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac3cdc8d2997b25f9ed799555ecf37106">stan::math::poisson_log_rng</a> (const double alpha, RNG &amp;rng)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">poisson_log_rng.hpp</div>  </div>
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+<a href="poisson__log__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_POISSON_LOG_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;boost/random/poisson_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac3cdc8d2997b25f9ed799555ecf37106">   23</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ac3cdc8d2997b25f9ed799555ecf37106">poisson_log_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> alpha,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                    RNG&amp; rng) {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> boost::random::poisson_distribution;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::poisson_log_rng&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> POISSON_MAX_LOG_RATE = 30 * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(2);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math::check_less</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Log rate parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">check_less</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Log rate parameter&quot;</span>, alpha, POISSON_MAX_LOG_RATE);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      variate_generator&lt;RNG&amp;, poisson_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a8f7aaf7ee5cf0eb93778d7f30db23834">poisson_rng</a>(rng, poisson_distribution&lt;&gt;(<a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(alpha)));</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a8f7aaf7ee5cf0eb93778d7f30db23834">poisson_rng</a>();</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;}</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aab225792149dceaec443ce09b93f8744"><div class="ttname"><a href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">stan::math::check_less</a></div><div class="ttdeci">bool check_less(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is strictly less than high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less_8hpp_source.html#l00081">check_less.hpp:81</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac3cdc8d2997b25f9ed799555ecf37106"><div class="ttname"><a href="namespacestan_1_1math.html#ac3cdc8d2997b25f9ed799555ecf37106">stan::math::poisson_log_rng</a></div><div class="ttdeci">int poisson_log_rng(const double alpha, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="poisson__log__rng_8hpp_source.html#l00023">poisson_log_rng.hpp:23</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8f7aaf7ee5cf0eb93778d7f30db23834"><div class="ttname"><a href="namespacestan_1_1math.html#a8f7aaf7ee5cf0eb93778d7f30db23834">stan::math::poisson_rng</a></div><div class="ttdeci">int poisson_rng(const double lambda, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="poisson__rng_8hpp_source.html#l00024">poisson_rng.hpp:24</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/random/poisson_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="poisson__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a8f7aaf7ee5cf0eb93778d7f30db23834"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a8f7aaf7ee5cf0eb93778d7f30db23834"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8f7aaf7ee5cf0eb93778d7f30db23834">stan::math::poisson_rng</a> (const double lambda, RNG &amp;rng)</td></tr>
+<tr class="separator:a8f7aaf7ee5cf0eb93778d7f30db23834"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">poisson_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="poisson__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_POISSON_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_POISSON_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;boost/random/poisson_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8f7aaf7ee5cf0eb93778d7f30db23834">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a8f7aaf7ee5cf0eb93778d7f30db23834">poisson_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> lambda,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                RNG&amp; rng) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> boost::random::poisson_distribution;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::poisson_rng&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aab225792149dceaec443ce09b93f8744">check_less</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Rate parameter&quot;</span>, lambda, <a class="code" href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">POISSON_MAX_RATE</a>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      variate_generator&lt;RNG&amp;, poisson_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a8f7aaf7ee5cf0eb93778d7f30db23834">poisson_rng</a>(rng, poisson_distribution&lt;&gt;(lambda));</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a8f7aaf7ee5cf0eb93778d7f30db23834">poisson_rng</a>();</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  }</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a4ea938c86917d89bbd13e4edcbecb1be"><div class="ttname"><a href="namespacestan_1_1math.html#a4ea938c86917d89bbd13e4edcbecb1be">stan::math::POISSON_MAX_RATE</a></div><div class="ttdeci">const double POISSON_MAX_RATE</div><div class="ttdoc">Largest rate parameter allowed in Poisson RNG. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00072">constants.hpp:72</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8f7aaf7ee5cf0eb93778d7f30db23834"><div class="ttname"><a href="namespacestan_1_1math.html#a8f7aaf7ee5cf0eb93778d7f30db23834">stan::math::poisson_rng</a></div><div class="ttdeci">int poisson_rng(const double lambda, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="poisson__rng_8hpp_source.html#l00024">poisson_rng.hpp:24</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__less_8hpp_html"><div class="ttname"><a href="check__less_8hpp.html">check_less.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
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new file mode 100644
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+<div class="textblock"><code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="positive__constrain_8hpp_source.html">Go to the source code of this file.</a></p>
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a6cf6708d0fb577e217e81463282cae71"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6cf6708d0fb577e217e81463282cae71"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6cf6708d0fb577e217e81463282cae71">stan::math::positive_constrain</a> (const T x)</td></tr>
+<tr class="memdesc:a6cf6708d0fb577e217e81463282cae71"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the positive value for the specified unconstrained input.  <a href="namespacestan_1_1math.html#a6cf6708d0fb577e217e81463282cae71">More...</a><br /></td></tr>
+<tr class="separator:a6cf6708d0fb577e217e81463282cae71"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9f9c43fc857272a76bb4030122ac91ed"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9f9c43fc857272a76bb4030122ac91ed"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9f9c43fc857272a76bb4030122ac91ed">stan::math::positive_constrain</a> (const T x, T &amp;lp)</td></tr>
+<tr class="memdesc:a9f9c43fc857272a76bb4030122ac91ed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the positive value for the specified unconstrained input, incrementing the scalar reference with the log absolute Jacobian determinant.  <a href="namespacestan_1_1math.html#a9f9c43fc857272a76bb4030122ac91ed">More...</a><br /></td></tr>
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+<a href="positive__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_POSITIVE_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_POSITIVE_CONSTRAIN_HPP</span></div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;}</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="positive__free_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a6a20798b12abb29d73f7391168f836f9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6a20798b12abb29d73f7391168f836f9"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6a20798b12abb29d73f7391168f836f9">stan::math::positive_free</a> (const T y)</td></tr>
+<tr class="memdesc:a6a20798b12abb29d73f7391168f836f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unconstrained value corresponding to the specified positive-constrained value.  <a href="namespacestan_1_1math.html#a6a20798b12abb29d73f7391168f836f9">More...</a><br /></td></tr>
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+<a href="positive__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_POSITIVE_FREE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_POSITIVE_FREE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="positive__ordered__constrain_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:ada937f012b7d54cebdf8d9414f6fdbad"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ada937f012b7d54cebdf8d9414f6fdbad"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ada937f012b7d54cebdf8d9414f6fdbad">stan::math::positive_ordered_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x)</td></tr>
+<tr class="memdesc:ada937f012b7d54cebdf8d9414f6fdbad"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return an increasing positive ordered vector derived from the specified free vector.  <a href="namespacestan_1_1math.html#ada937f012b7d54cebdf8d9414f6fdbad">More...</a><br /></td></tr>
+<tr class="separator:ada937f012b7d54cebdf8d9414f6fdbad"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7879746a7bed2564ae72c2916658e5a5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a7879746a7bed2564ae72c2916658e5a5"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7879746a7bed2564ae72c2916658e5a5">stan::math::positive_ordered_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x, T &amp;lp)</td></tr>
+<tr class="memdesc:a7879746a7bed2564ae72c2916658e5a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a positive valued, increasing positive ordered vector derived from the specified free vector and increment the specified log probability reference with the log absolute Jacobian determinant of the transform.  <a href="namespacestan_1_1math.html#a7879746a7bed2564ae72c2916658e5a5">More...</a><br /></td></tr>
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+<div class="title">positive_ordered_constrain.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="positive__ordered__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_POSITIVE_ORDERED_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_POSITIVE_ORDERED_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ada937f012b7d54cebdf8d9414f6fdbad">   23</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ada937f012b7d54cebdf8d9414f6fdbad">positive_ordered_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, 1&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      size_type k = x.size();</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; y(k);</div>
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+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordflow">return</span> y;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      y[0] = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(x[0]);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keywordflow">for</span> (size_type i = 1; i &lt; k; ++i)</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        y[i] = y[i-1] + <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(x[i]);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">return</span> y;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00055"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7879746a7bed2564ae72c2916658e5a5">   55</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ada937f012b7d54cebdf8d9414f6fdbad">positive_ordered_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                               T&amp; lp) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, 1&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">for</span> (size_type i = 0; i &lt; x.size(); ++i)</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        lp += x(i);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#ada937f012b7d54cebdf8d9414f6fdbad">positive_ordered_constrain</a>(x);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;  }</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;}</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ada937f012b7d54cebdf8d9414f6fdbad"><div class="ttname"><a href="namespacestan_1_1math.html#ada937f012b7d54cebdf8d9414f6fdbad">stan::math::positive_ordered_constrain</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; positive_ordered_constrain(const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x)</div><div class="ttdoc">Return an increasing positive ordered vector derived from the specified free vector. </div><div class="ttdef"><b>Definition:</b> <a href="positive__ordered__constrain_8hpp_source.html#l00023">positive_ordered_constrain.hpp:23</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__ordered_8hpp_source.html">stan/math/prim/mat/err/check_positive_ordered.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="positive__ordered__free_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:af81e69a15e82f86eefba93f8dcd3966e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:af81e69a15e82f86eefba93f8dcd3966e"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af81e69a15e82f86eefba93f8dcd3966e">stan::math::positive_ordered_free</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;y)</td></tr>
+<tr class="memdesc:af81e69a15e82f86eefba93f8dcd3966e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the vector of unconstrained scalars that transform to the specified positive ordered vector.  <a href="namespacestan_1_1math.html#af81e69a15e82f86eefba93f8dcd3966e">More...</a><br /></td></tr>
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+<div class="title">positive_ordered_free.hpp</div>  </div>
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+<a href="positive__ordered__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_POSITIVE_ORDERED_FREE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_POSITIVE_ORDERED_FREE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__ordered_8hpp.html">stan/math/prim/mat/err/check_positive_ordered.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af81e69a15e82f86eefba93f8dcd3966e">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#af81e69a15e82f86eefba93f8dcd3966e">positive_ordered_free</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; y) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, 1&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">return</span> x;</div>
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+<div class="ttc" id="check__positive__ordered_8hpp_html"><div class="ttname"><a href="check__positive__ordered_8hpp.html">check_positive_ordered.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a87f00a8c0f07c5a82145a14712437673"><div class="ttname"><a href="namespacestan_1_1math.html#a87f00a8c0f07c5a82145a14712437673">stan::math::check_positive_ordered</a></div><div class="ttdeci">bool check_positive_ordered(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, 1 &gt; &amp;y)</div><div class="ttdoc">Return true if the specified vector contains non-negative values and is sorted into strictly increasi...</div><div class="ttdef"><b>Definition:</b> <a href="check__positive__ordered_8hpp_source.html#l00032">check_positive_ordered.hpp:32</a></div></div>
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+<div class="title">precomp_v_vari.hpp</div>  </div>
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+<a href="precomp__v__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_PRECOMP_V_VARI_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="v__vari_8hpp.html">stan/math/rev/core/v_vari.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="comment">// use for single precomputed partials</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1precomp__v__vari.html">   11</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1precomp__v__vari.html">precomp_v_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1op__v__vari.html">op_v_vari</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">protected</span>:</div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">public</span>:</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    };</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  }</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;}</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__v__vari_html_a115547abf8f49bc6c524d126ff9965b6"><div class="ttname"><a href="classstan_1_1math_1_1op__v__vari.html#a115547abf8f49bc6c524d126ff9965b6">stan::math::op_v_vari::avi_</a></div><div class="ttdeci">vari * avi_</div><div class="ttdef"><b>Definition:</b> <a href="v__vari_8hpp_source.html#l00011">v_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__v__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1op__v__vari.html">stan::math::op_v_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="v__vari_8hpp_source.html#l00009">v_vari.hpp:9</a></div></div>
+<div class="ttc" id="v__vari_8hpp_html"><div class="ttname"><a href="v__vari_8hpp.html">v_vari.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__v__vari_html_aebcc7a60e78ba7f4156697faaf9cc0f0"><div class="ttname"><a href="classstan_1_1math_1_1precomp__v__vari.html#aebcc7a60e78ba7f4156697faaf9cc0f0">stan::math::precomp_v_vari::da_</a></div><div class="ttdeci">double da_</div><div class="ttdef"><b>Definition:</b> <a href="precomp__v__vari_8hpp_source.html#l00013">precomp_v_vari.hpp:13</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__v__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1precomp__v__vari.html">stan::math::precomp_v_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="precomp__v__vari_8hpp_source.html#l00011">precomp_v_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html_a53f635dd2454bc46335f3ad5bd172623"><div class="ttname"><a href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">stan::math::vari::adj_</a></div><div class="ttdeci">double adj_</div><div class="ttdoc">The adjoint of this variable, which is the partial derivative of this variable with respect to the ro...</div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00044">vari.hpp:44</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__v__vari_html_a1ea984c684b3bc8a368c9554d9f0625b"><div class="ttname"><a href="classstan_1_1math_1_1precomp__v__vari.html#a1ea984c684b3bc8a368c9554d9f0625b">stan::math::precomp_v_vari::chain</a></div><div class="ttdeci">void chain()</div><div class="ttdoc">Apply the chain rule to this variable based on the variables on which it depends. ...</div><div class="ttdef"><b>Definition:</b> <a href="precomp__v__vari_8hpp_source.html#l00019">precomp_v_vari.hpp:19</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__v__vari_html_a0c517d5c59eff9c50c47be525b646a3a"><div class="ttname"><a href="classstan_1_1math_1_1precomp__v__vari.html#a0c517d5c59eff9c50c47be525b646a3a">stan::math::precomp_v_vari::precomp_v_vari</a></div><div class="ttdeci">precomp_v_vari(double val, vari *avi, double da)</div><div class="ttdef"><b>Definition:</b> <a href="precomp__v__vari_8hpp_source.html#l00015">precomp_v_vari.hpp:15</a></div></div>
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+<a href="precomp__vv__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_PRECOMP_VV_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_PRECOMP_VV_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vv__vari_8hpp.html">stan/math/rev/core/vv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="comment">// use for single precomputed partials</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1precomp__vv__vari.html">   11</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1precomp__vv__vari.html">precomp_vv_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1op__vv__vari.html">op_vv_vari</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1precomp__vv__vari.html#af97b5e93718119df5074e486f4825bea">   13</a></span>&#160;      <span class="keywordtype">double</span> <a class="code" href="classstan_1_1math_1_1precomp__vv__vari.html#af97b5e93718119df5074e486f4825bea">da_</a>;</div>
+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1precomp__vv__vari.html#a135ab5b456986b163575aceb179a8a40">   14</a></span>&#160;      <span class="keywordtype">double</span> <a class="code" href="classstan_1_1math_1_1precomp__vv__vari.html#a135ab5b456986b163575aceb179a8a40">db_</a>;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1precomp__vv__vari.html#af33cdfd8e10840954045d5437ea0b521">   16</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1precomp__vv__vari.html#af33cdfd8e10840954045d5437ea0b521">precomp_vv_vari</a>(<span class="keywordtype">double</span> val,</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;                       <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* avi, <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* bvi,</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;                       <span class="keywordtype">double</span> da, <span class="keywordtype">double</span> db)</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        : <a class="code" href="classstan_1_1math_1_1op__vv__vari.html">op_vv_vari</a>(val, avi, bvi),</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;          db_(db) {</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        <a class="code" href="classstan_1_1math_1_1op__vv__vari.html#abe4e66ae889c118cb8ca89fcc6f6e216">bvi_</a>-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> += <a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> * <a class="code" href="classstan_1_1math_1_1precomp__vv__vari.html#a135ab5b456986b163575aceb179a8a40">db_</a>;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      }</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;}</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__vv__vari_html_ad3a8d46be2b9b6b8947953d3f537cc4c"><div class="ttname"><a href="classstan_1_1math_1_1precomp__vv__vari.html#ad3a8d46be2b9b6b8947953d3f537cc4c">stan::math::precomp_vv_vari::chain</a></div><div class="ttdeci">void chain()</div><div class="ttdoc">Apply the chain rule to this variable based on the variables on which it depends. ...</div><div class="ttdef"><b>Definition:</b> <a href="precomp__vv__vari_8hpp_source.html#l00023">precomp_vv_vari.hpp:23</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__vv__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1precomp__vv__vari.html">stan::math::precomp_vv_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="precomp__vv__vari_8hpp_source.html#l00011">precomp_vv_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__vv__vari_html_af97b5e93718119df5074e486f4825bea"><div class="ttname"><a href="classstan_1_1math_1_1precomp__vv__vari.html#af97b5e93718119df5074e486f4825bea">stan::math::precomp_vv_vari::da_</a></div><div class="ttdeci">double da_</div><div class="ttdef"><b>Definition:</b> <a href="precomp__vv__vari_8hpp_source.html#l00013">precomp_vv_vari.hpp:13</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__vv__vari_html_a135ab5b456986b163575aceb179a8a40"><div class="ttname"><a href="classstan_1_1math_1_1precomp__vv__vari.html#a135ab5b456986b163575aceb179a8a40">stan::math::precomp_vv_vari::db_</a></div><div class="ttdeci">double db_</div><div class="ttdef"><b>Definition:</b> <a href="precomp__vv__vari_8hpp_source.html#l00014">precomp_vv_vari.hpp:14</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vv__vari_html_abe4e66ae889c118cb8ca89fcc6f6e216"><div class="ttname"><a href="classstan_1_1math_1_1op__vv__vari.html#abe4e66ae889c118cb8ca89fcc6f6e216">stan::math::op_vv_vari::bvi_</a></div><div class="ttdeci">vari * bvi_</div><div class="ttdef"><b>Definition:</b> <a href="vv__vari_8hpp_source.html#l00012">vv_vari.hpp:12</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__vv__vari_html_af33cdfd8e10840954045d5437ea0b521"><div class="ttname"><a href="classstan_1_1math_1_1precomp__vv__vari.html#af33cdfd8e10840954045d5437ea0b521">stan::math::precomp_vv_vari::precomp_vv_vari</a></div><div class="ttdeci">precomp_vv_vari(double val, vari *avi, vari *bvi, double da, double db)</div><div class="ttdef"><b>Definition:</b> <a href="precomp__vv__vari_8hpp_source.html#l00016">precomp_vv_vari.hpp:16</a></div></div>
+<div class="ttc" id="vv__vari_8hpp_html"><div class="ttname"><a href="vv__vari_8hpp.html">vv_vari.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html_a53f635dd2454bc46335f3ad5bd172623"><div class="ttname"><a href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">stan::math::vari::adj_</a></div><div class="ttdeci">double adj_</div><div class="ttdoc">The adjoint of this variable, which is the partial derivative of this variable with respect to the ro...</div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00044">vari.hpp:44</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vv__vari_html_a9fcd1e5dacb0fbd015b28c4773071b6d"><div class="ttname"><a href="classstan_1_1math_1_1op__vv__vari.html#a9fcd1e5dacb0fbd015b28c4773071b6d">stan::math::op_vv_vari::avi_</a></div><div class="ttdeci">vari * avi_</div><div class="ttdef"><b>Definition:</b> <a href="vv__vari_8hpp_source.html#l00011">vv_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vv__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1op__vv__vari.html">stan::math::op_vv_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="vv__vari_8hpp_source.html#l00009">vv_vari.hpp:9</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<a href="precomp__vvv__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_PRECOMP_VVV_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_PRECOMP_VVV_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vvv__vari_8hpp.html">stan/math/rev/core/vvv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="comment">// use for single precomputed partials</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1precomp__vvv__vari.html">   11</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1precomp__vvv__vari.html">precomp_vvv_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1op__vvv__vari.html">op_vvv_vari</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1precomp__vvv__vari.html#ab917bd646e4c1e48cc62c0200b4be8ca">   13</a></span>&#160;      <span class="keywordtype">double</span> <a class="code" href="classstan_1_1math_1_1precomp__vvv__vari.html#ab917bd646e4c1e48cc62c0200b4be8ca">da_</a>;</div>
+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1precomp__vvv__vari.html#ae0b4d2b33c8c29d99021b4693a1247ce">   14</a></span>&#160;      <span class="keywordtype">double</span> <a class="code" href="classstan_1_1math_1_1precomp__vvv__vari.html#ae0b4d2b33c8c29d99021b4693a1247ce">db_</a>;</div>
+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1precomp__vvv__vari.html#ad4e4385c71e5c0ae76b62e1f581600b0">   15</a></span>&#160;      <span class="keywordtype">double</span> <a class="code" href="classstan_1_1math_1_1precomp__vvv__vari.html#ad4e4385c71e5c0ae76b62e1f581600b0">dc_</a>;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1precomp__vvv__vari.html#a6d8ea94d167987d3aa4f437079f4f2c0">   17</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1precomp__vvv__vari.html#a6d8ea94d167987d3aa4f437079f4f2c0">precomp_vvv_vari</a>(<span class="keywordtype">double</span> val,</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;                       <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* avi, <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* bvi, <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* cvi,</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                       <span class="keywordtype">double</span> da, <span class="keywordtype">double</span> db, <span class="keywordtype">double</span> dc)</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        : <a class="code" href="classstan_1_1math_1_1op__vvv__vari.html">op_vvv_vari</a>(val, avi, bvi, cvi),</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;          da_(da),</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;          db_(db),</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;          dc_(dc) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      }</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        <a class="code" href="classstan_1_1math_1_1op__vvv__vari.html#ac813cca4e210763164b061732e60d775">avi_</a>-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> += <a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> * <a class="code" href="classstan_1_1math_1_1precomp__vvv__vari.html#ab917bd646e4c1e48cc62c0200b4be8ca">da_</a>;</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        <a class="code" href="classstan_1_1math_1_1op__vvv__vari.html#ad8b02ef27dfacf65c9e4eac914cc800e">cvi_</a>-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> += <a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> * <a class="code" href="classstan_1_1math_1_1precomp__vvv__vari.html#ad4e4385c71e5c0ae76b62e1f581600b0">dc_</a>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    };</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  }</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;}</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="classstan_1_1math_1_1precomp__vvv__vari_html_ad4e4385c71e5c0ae76b62e1f581600b0"><div class="ttname"><a href="classstan_1_1math_1_1precomp__vvv__vari.html#ad4e4385c71e5c0ae76b62e1f581600b0">stan::math::precomp_vvv_vari::dc_</a></div><div class="ttdeci">double dc_</div><div class="ttdef"><b>Definition:</b> <a href="precomp__vvv__vari_8hpp_source.html#l00015">precomp_vvv_vari.hpp:15</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vvv__vari_html_ad8b02ef27dfacf65c9e4eac914cc800e"><div class="ttname"><a href="classstan_1_1math_1_1op__vvv__vari.html#ad8b02ef27dfacf65c9e4eac914cc800e">stan::math::op_vvv_vari::cvi_</a></div><div class="ttdeci">vari * cvi_</div><div class="ttdef"><b>Definition:</b> <a href="vvv__vari_8hpp_source.html#l00014">vvv_vari.hpp:14</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__vvv__vari_html_ab917bd646e4c1e48cc62c0200b4be8ca"><div class="ttname"><a href="classstan_1_1math_1_1precomp__vvv__vari.html#ab917bd646e4c1e48cc62c0200b4be8ca">stan::math::precomp_vvv_vari::da_</a></div><div class="ttdeci">double da_</div><div class="ttdef"><b>Definition:</b> <a href="precomp__vvv__vari_8hpp_source.html#l00013">precomp_vvv_vari.hpp:13</a></div></div>
+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vvv__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1op__vvv__vari.html">stan::math::op_vvv_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="vvv__vari_8hpp_source.html#l00010">vvv_vari.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vvv__vari_html_ac813cca4e210763164b061732e60d775"><div class="ttname"><a href="classstan_1_1math_1_1op__vvv__vari.html#ac813cca4e210763164b061732e60d775">stan::math::op_vvv_vari::avi_</a></div><div class="ttdeci">vari * avi_</div><div class="ttdef"><b>Definition:</b> <a href="vvv__vari_8hpp_source.html#l00012">vvv_vari.hpp:12</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__vvv__vari_html_ae0b4d2b33c8c29d99021b4693a1247ce"><div class="ttname"><a href="classstan_1_1math_1_1precomp__vvv__vari.html#ae0b4d2b33c8c29d99021b4693a1247ce">stan::math::precomp_vvv_vari::db_</a></div><div class="ttdeci">double db_</div><div class="ttdef"><b>Definition:</b> <a href="precomp__vvv__vari_8hpp_source.html#l00014">precomp_vvv_vari.hpp:14</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__vvv__vari_html_a6d8ea94d167987d3aa4f437079f4f2c0"><div class="ttname"><a href="classstan_1_1math_1_1precomp__vvv__vari.html#a6d8ea94d167987d3aa4f437079f4f2c0">stan::math::precomp_vvv_vari::precomp_vvv_vari</a></div><div class="ttdeci">precomp_vvv_vari(double val, vari *avi, vari *bvi, vari *cvi, double da, double db, double dc)</div><div class="ttdef"><b>Definition:</b> <a href="precomp__vvv__vari_8hpp_source.html#l00017">precomp_vvv_vari.hpp:17</a></div></div>
+<div class="ttc" id="vvv__vari_8hpp_html"><div class="ttname"><a href="vvv__vari_8hpp.html">vvv_vari.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1precomp__vvv__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1precomp__vvv__vari.html">stan::math::precomp_vvv_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="precomp__vvv__vari_8hpp_source.html#l00011">precomp_vvv_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html_a53f635dd2454bc46335f3ad5bd172623"><div class="ttname"><a href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">stan::math::vari::adj_</a></div><div class="ttdeci">double adj_</div><div class="ttdoc">The adjoint of this variable, which is the partial derivative of this variable with respect to the ro...</div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00044">vari.hpp:44</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="vari_8hpp_source.html">stan/math/rev/core/vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="precomputed__gradients_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1precomputed__gradients__vari.html">stan::math::precomputed_gradients_vari</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">A variable implementation taking a sequence of operands and partial derivatives with respect to the operands.  <a href="classstan_1_1math_1_1precomputed__gradients__vari.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a2ae0c4c9c64db8bb166f67caf352b35f"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2ae0c4c9c64db8bb166f67caf352b35f">stan::math::precomputed_gradients</a> (const double value, const std::vector&lt; var &gt; &amp;operands, const std::vector&lt; double &gt; &amp;gradients)</td></tr>
+<tr class="memdesc:a2ae0c4c9c64db8bb166f67caf352b35f"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function returns a var for an expression that has the specified value, vector of operands, and vector of partial derivatives of value with respect to the operands.  <a href="namespacestan_1_1math.html#a2ae0c4c9c64db8bb166f67caf352b35f">More...</a><br /></td></tr>
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+<a href="precomputed__gradients_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_PRECOMPUTED_GRADIENTS_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                                 <span class="keyword">const</span> std::vector&lt;var&gt;&amp; vars,</div>
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+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;}</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2ae0c4c9c64db8bb166f67caf352b35f"><div class="ttname"><a href="namespacestan_1_1math.html#a2ae0c4c9c64db8bb166f67caf352b35f">stan::math::precomputed_gradients</a></div><div class="ttdeci">var precomputed_gradients(const double value, const std::vector&lt; var &gt; &amp;operands, const std::vector&lt; double &gt; &amp;gradients)</div><div class="ttdoc">This function returns a var for an expression that has the specified value, vector of operands...</div><div class="ttdef"><b>Definition:</b> <a href="precomputed__gradients_8hpp_source.html#l00098">precomputed_gradients.hpp:98</a></div></div>
+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomputed__gradients__vari_html_ab1b2c58490560a34da96fee3d4057620"><div class="ttname"><a href="classstan_1_1math_1_1precomputed__gradients__vari.html#ab1b2c58490560a34da96fee3d4057620">stan::math::precomputed_gradients_vari::gradients_</a></div><div class="ttdeci">double * gradients_</div><div class="ttdef"><b>Definition:</b> <a href="precomputed__gradients_8hpp_source.html#l00025">precomputed_gradients.hpp:25</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1precomputed__gradients__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1precomputed__gradients__vari.html">stan::math::precomputed_gradients_vari</a></div><div class="ttdoc">A variable implementation taking a sequence of operands and partial derivatives with respect to the o...</div><div class="ttdef"><b>Definition:</b> <a href="precomputed__gradients_8hpp_source.html#l00021">precomputed_gradients.hpp:21</a></div></div>
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+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomputed__gradients__vari_html_a3fdc12d96fed2ae97bc8b6d90c117d1e"><div class="ttname"><a href="classstan_1_1math_1_1precomputed__gradients__vari.html#a3fdc12d96fed2ae97bc8b6d90c117d1e">stan::math::precomputed_gradients_vari::chain</a></div><div class="ttdeci">void chain()</div><div class="ttdoc">Implements the chain rule for this variable, using the prestored operands and gradient. </div><div class="ttdef"><b>Definition:</b> <a href="precomputed__gradients_8hpp_source.html#l00079">precomputed_gradients.hpp:79</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1vari_html_a53f635dd2454bc46335f3ad5bd172623"><div class="ttname"><a href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">stan::math::vari::adj_</a></div><div class="ttdeci">double adj_</div><div class="ttdoc">The adjoint of this variable, which is the partial derivative of this variable with respect to the ro...</div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00044">vari.hpp:44</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomputed__gradients__vari_html_afab325fb81b8370a78f3455be5ebdeb6"><div class="ttname"><a href="classstan_1_1math_1_1precomputed__gradients__vari.html#afab325fb81b8370a78f3455be5ebdeb6">stan::math::precomputed_gradients_vari::precomputed_gradients_vari</a></div><div class="ttdeci">precomputed_gradients_vari(double val, size_t size, vari **varis, double *gradients)</div><div class="ttdoc">Construct a precomputed vari with the specified value, operands, and gradients. </div><div class="ttdef"><b>Definition:</b> <a href="precomputed__gradients_8hpp_source.html#l00037">precomputed_gradients.hpp:37</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1edae52ce70f3f0a9f7eb15f3416007c"><div class="ttname"><a href="namespacestan_1_1math.html#a1edae52ce70f3f0a9f7eb15f3416007c">stan::math::dot_self</a></div><div class="ttdeci">fvar&lt; T &gt; dot_self(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__self_8hpp_source.html#l00016">dot_self.hpp:16</a></div></div>
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+<div class="title">log_sum_exp.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;cstdlib&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a9e67f9b1692743a9db4462e98bb49ef5"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9e67f9b1692743a9db4462e98bb49ef5">stan::math::log_sum_exp</a> (const std::vector&lt; double &gt; &amp;x)</td></tr>
+<tr class="memdesc:a9e67f9b1692743a9db4462e98bb49ef5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of the sum of the exponentiated values of the specified sequence of values.  <a href="namespacestan_1_1math.html#a9e67f9b1692743a9db4462e98bb49ef5">More...</a><br /></td></tr>
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+<a href="prim_2arr_2fun_2log__sum__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUN_LOG_SUM_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_FUN_LOG_SUM_EXP_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;cstdlib&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9e67f9b1692743a9db4462e98bb49ef5">   24</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(<span class="keyword">const</span> std::vector&lt;double&gt;&amp; x) {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> std::numeric_limits;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a> = -numeric_limits&lt;double&gt;::infinity();</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ii = 0; ii &lt; x.size(); ii++)</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ii = 0; ii &lt; x.size(); ii++)</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        <span class="keywordflow">if</span> (x[ii] != -numeric_limits&lt;double&gt;::infinity())</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;}</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac86474622fba4524c529c4b8024e4ceb"><div class="ttname"><a href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">stan::math::log_sum_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log_sum_exp(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00014">log_sum_exp.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5da0ef87756d3dbd20ca4ff5a3efa10d"><div class="ttname"><a href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">stan::math::max</a></div><div class="ttdeci">int max(const std::vector&lt; int &gt; &amp;x)</div><div class="ttdoc">Returns the maximum coefficient in the specified column vector. </div><div class="ttdef"><b>Definition:</b> <a href="max_8hpp_source.html#l00021">max.hpp:21</a></div></div>
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+<div class="textblock"><code>#include &lt;cstddef&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="prim_2arr_2fun_2sum_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:a1efee0b4f8879a114af50b7e9802745c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sum of the values in the specified standard vector.  <a href="namespacestan_1_1math.html#a1efee0b4f8879a114af50b7e9802745c">More...</a><br /></td></tr>
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+<code>#include &lt;<a class="el" href="child__type_8hpp_source.html">stan/math/prim/scal/meta/child_type.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a1c5a329d06bfc8d164f9f4df523814cc"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a1c5a329d06bfc8d164f9f4df523814cc"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; typename child_type&lt; T &gt;::type &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1c5a329d06bfc8d164f9f4df523814cc">stan::math::value_of</a> (const std::vector&lt; T &gt; &amp;x)</td></tr>
+<tr class="memdesc:a1c5a329d06bfc8d164f9f4df523814cc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convert a std::vector of type T to a std::vector of <a class="el" href="structstan_1_1math_1_1child__type.html#a0d005efbf96c2a27150943452b30a6f9">child_type&lt;T&gt;::type</a>.  <a href="namespacestan_1_1math.html#a1c5a329d06bfc8d164f9f4df523814cc">More...</a><br /></td></tr>
+<tr class="separator:a1c5a329d06bfc8d164f9f4df523814cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8f36ce063f22b2245ee7a6e3fcd013f9"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
+<tr class="memitem:a8f36ce063f22b2245ee7a6e3fcd013f9"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; double &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8f36ce063f22b2245ee7a6e3fcd013f9">stan::math::value_of</a> (const std::vector&lt; double &gt; &amp;x)</td></tr>
+<tr class="memdesc:a8f36ce063f22b2245ee7a6e3fcd013f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified argument.  <a href="namespacestan_1_1math.html#a8f36ce063f22b2245ee7a6e3fcd013f9">More...</a><br /></td></tr>
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+<a href="prim_2arr_2fun_2value__of_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUN_VALUE_OF_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
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+<code>#include &lt;vector&gt;</code><br />
+<code>#include &lt;cstddef&gt;</code><br />
+</div>
+<p><a href="prim_2arr_2fun_2value__of__rec_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a5a627a700920f5b1e45140b39da256c8"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a5a627a700920f5b1e45140b39da256c8"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; double &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5a627a700920f5b1e45140b39da256c8">stan::math::value_of_rec</a> (const std::vector&lt; T &gt; &amp;x)</td></tr>
+<tr class="memdesc:a5a627a700920f5b1e45140b39da256c8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convert a std::vector of type T to a std::vector of doubles.  <a href="namespacestan_1_1math.html#a5a627a700920f5b1e45140b39da256c8">More...</a><br /></td></tr>
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+<tr class="memitem:adbade9ca6c7c41a1d62102d9c86135d8"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
+<tr class="memitem:adbade9ca6c7c41a1d62102d9c86135d8"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; double &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#adbade9ca6c7c41a1d62102d9c86135d8">stan::math::value_of_rec</a> (const std::vector&lt; double &gt; &amp;x)</td></tr>
+<tr class="memdesc:adbade9ca6c7c41a1d62102d9c86135d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified argument.  <a href="namespacestan_1_1math.html#adbade9ca6c7c41a1d62102d9c86135d8">More...</a><br /></td></tr>
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+<a href="prim_2arr_2fun_2value__of__rec_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUN_VALUE_OF_REC_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_FUN_VALUE_OF_REC_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of__rec_8hpp.html">stan/math/prim/scal/fun/value_of_rec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">inline</span> std::vector&lt;double&gt;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;ostream&gt;</code><br />
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+</div>
+<p><a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">Go to the source code of this file.</a></p>
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+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system&lt; F, T1, T2 &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Base template class for a coupled ordinary differential equation system, which adds sensitivities to the base system.  <a href="structstan_1_1math_1_1coupled__ode__system.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">The coupled ode system for known initial values and known parameters.  <a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#details">More...</a><br /></td></tr>
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+<a href="prim_2arr_2functor_2coupled__ode__system_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUNCTOR_COUPLED_ODE_SYSTEM_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F, <span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
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+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ea7d3c67d117c7a1c261fd1c4bb624a">   43</a></span>&#160;      <span class="keyword">const</span> std::vector&lt;double&gt;&amp; <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ea7d3c67d117c7a1c261fd1c4bb624a">theta_dbl_</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab317a711e2954c234d5b9ad990acc65d">   44</a></span>&#160;      <span class="keyword">const</span> std::vector&lt;double&gt;&amp; <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab317a711e2954c234d5b9ad990acc65d">x_</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a97205cf51b0d9ef15c2698a93b44ec52">   45</a></span>&#160;      <span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a97205cf51b0d9ef15c2698a93b44ec52">x_int_</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a0d185dcf6b1320ee8d2623c9769b9be2">   46</a></span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a0d185dcf6b1320ee8d2623c9769b9be2">N_</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab206f6625b21a054d90fa17e07b54c0e">   47</a></span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab206f6625b21a054d90fa17e07b54c0e">M_</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#afd3671c1829990365904ed3d60d9d82d">   48</a></span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#afd3671c1829990365904ed3d60d9d82d">size_</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a9d0ef30c3aeabb040639ffd88416c029">   49</a></span>&#160;      std::ostream* <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a9d0ef30c3aeabb040639ffd88416c029">msgs_</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a40185af10295bf1b41f2e1361ce1df2f">   63</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a40185af10295bf1b41f2e1361ce1df2f">coupled_ode_system</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                         <span class="keyword">const</span> std::vector&lt;double&gt;&amp; y0,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                         <span class="keyword">const</span> std::vector&lt;double&gt;&amp; theta,</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;                         <span class="keyword">const</span> std::vector&lt;double&gt;&amp; x,</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                         <span class="keyword">const</span> std::vector&lt;int&gt;&amp; x_int,</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;                         std::ostream* msgs)</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        : f_(f),</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          y0_dbl_(y0),</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;          theta_dbl_(theta),</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          x_(x),</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          x_int_(x_int),</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          N_(y0.<a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>()),</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          M_(theta.<a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>()),</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          size_(N_),</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          msgs_(msgs) {</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a210cec0472790c60d5956c8266359e9e">   95</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a210cec0472790c60d5956c8266359e9e">operator()</a>(<span class="keyword">const</span> std::vector&lt;double&gt;&amp; y,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                      std::vector&lt;double&gt;&amp; dy_dt,</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                      <span class="keywordtype">double</span> t) {</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        dy_dt = f_(t, y, theta_dbl_, x_, x_int_, msgs_);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>(<span class="stringliteral">&quot;coupled_ode_system&quot;</span>,</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                                     <span class="stringliteral">&quot;y&quot;</span>, y.size(),</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                                     <span class="stringliteral">&quot;dy_dt&quot;</span>, dy_dt.size());</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      }</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a14cbf2d4763907cc2eb21b0465b793c4">  109</a></span>&#160;      <span class="keywordtype">int</span> <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a14cbf2d4763907cc2eb21b0465b793c4">size</a>()<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      }</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ed6425673c2af35796dcb8ec69b78a2">  125</a></span>&#160;      std::vector&lt;double&gt; <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ed6425673c2af35796dcb8ec69b78a2">initial_state</a>() {</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        std::vector&lt;double&gt; state(size_, 0.0);</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>; n++)</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          state[n] = y0_dbl_[n];</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">return</span> state;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      }</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      std::vector&lt;std::vector&lt;double&gt; &gt;</div>
+<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a4fa261df6b9bba8fa617000f661ab330">  143</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a4fa261df6b9bba8fa617000f661ab330">decouple_states</a>(<span class="keyword">const</span> std::vector&lt;std::vector&lt;double&gt; &gt;&amp; y) {</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        <span class="keywordflow">return</span> y;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    };</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;  }  <span class="comment">// math</span></div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;}  <span class="comment">// stan</span></div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4_html_a6ea7d3c67d117c7a1c261fd1c4bb624a"><div class="ttname"><a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ea7d3c67d117c7a1c261fd1c4bb624a">stan::math::coupled_ode_system&lt; F, double, double &gt;::theta_dbl_</a></div><div class="ttdeci">const std::vector&lt; double &gt; &amp; theta_dbl_</div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00043">coupled_ode_system.hpp:43</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4_html_a40185af10295bf1b41f2e1361ce1df2f"><div class="ttname"><a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a40185af10295bf1b41f2e1361ce1df2f">stan::math::coupled_ode_system&lt; F, double, double &gt;::coupled_ode_system</a></div><div class="ttdeci">coupled_ode_system(const F &amp;f, const std::vector&lt; double &gt; &amp;y0, const std::vector&lt; double &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</div><div class="ttdoc">Construct the coupled ODE system from the base system function, initial state, parameters, data and a stream for messages. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00063">coupled_ode_system.hpp:63</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4_html_a9d0ef30c3aeabb040639ffd88416c029"><div class="ttname"><a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a9d0ef30c3aeabb040639ffd88416c029">stan::math::coupled_ode_system&lt; F, double, double &gt;::msgs_</a></div><div class="ttdeci">std::ostream * msgs_</div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00049">coupled_ode_system.hpp:49</a></div></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4_html_a05858eac16fa32b40205ee4531fdd159"><div class="ttname"><a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a05858eac16fa32b40205ee4531fdd159">stan::math::coupled_ode_system&lt; F, double, double &gt;::y0_dbl_</a></div><div class="ttdeci">const std::vector&lt; double &gt; &amp; y0_dbl_</div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00042">coupled_ode_system.hpp:42</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4_html_a0d185dcf6b1320ee8d2623c9769b9be2"><div class="ttname"><a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a0d185dcf6b1320ee8d2623c9769b9be2">stan::math::coupled_ode_system&lt; F, double, double &gt;::N_</a></div><div class="ttdeci">const size_t N_</div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00046">coupled_ode_system.hpp:46</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4_html_a6ed6425673c2af35796dcb8ec69b78a2"><div class="ttname"><a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6ed6425673c2af35796dcb8ec69b78a2">stan::math::coupled_ode_system&lt; F, double, double &gt;::initial_state</a></div><div class="ttdeci">std::vector&lt; double &gt; initial_state()</div><div class="ttdoc">Returns the initial state of the coupled system, which is identical to the base ODE original state in...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00125">coupled_ode_system.hpp:125</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4_html_a6d34cf58dd65908c274346f9faffa1c9"><div class="ttname"><a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a6d34cf58dd65908c274346f9faffa1c9">stan::math::coupled_ode_system&lt; F, double, double &gt;::f_</a></div><div class="ttdeci">const F &amp; f_</div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00041">coupled_ode_system.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa547146eaac690e79a611e50a6dffb4d"><div class="ttname"><a href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a></div><div class="ttdeci">bool check_size_match(const char *function, const char *name_i, T_size1 i, const char *name_j, T_size2 j)</div><div class="ttdoc">Return true if the provided sizes match. </div><div class="ttdef"><b>Definition:</b> <a href="check__size__match_8hpp_source.html#l00030">check_size_match.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4_html_ab317a711e2954c234d5b9ad990acc65d"><div class="ttname"><a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#ab317a711e2954c234d5b9ad990acc65d">stan::math::coupled_ode_system&lt; F, double, double &gt;::x_</a></div><div class="ttdeci">const std::vector&lt; double &gt; &amp; x_</div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00044">coupled_ode_system.hpp:44</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4_html_a4fa261df6b9bba8fa617000f661ab330"><div class="ttname"><a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a4fa261df6b9bba8fa617000f661ab330">stan::math::coupled_ode_system&lt; F, double, double &gt;::decouple_states</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; double &gt; &gt; decouple_states(const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</div><div class="ttdoc">Returns the base portion of the coupled state. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00143">coupled_ode_system.hpp:143</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_html"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a></div><div class="ttdoc">Base template class for a coupled ordinary differential equation system, which adds sensitivities to ...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00025">coupled_ode_system.hpp:25</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2mdivide__left_8hpp_html_a733553beee6dadc63ea8c537055a9e04"><div class="ttname"><a href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a></div><div class="ttdeci">int N_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2mdivide__left_8hpp_source.html#l00020">mdivide_left.hpp:20</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4_html_a14cbf2d4763907cc2eb21b0465b793c4"><div class="ttname"><a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#a14cbf2d4763907cc2eb21b0465b793c4">stan::math::coupled_ode_system&lt; F, double, double &gt;::size</a></div><div class="ttdeci">int size() const </div><div class="ttdoc">Returns the size of the coupled system. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00109">coupled_ode_system.hpp:109</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4_html_afd3671c1829990365904ed3d60d9d82d"><div class="ttname"><a href="classstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01double_01_4.html#afd3671c1829990365904ed3d60d9d82d">stan::math::coupled_ode_system&lt; F, double, double &gt;::size_</a></div><div class="ttdeci">const size_t size_</div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00048">coupled_ode_system.hpp:48</a></div></div>
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+<div class="title">arr.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="arr_2meta_2container__view_8hpp_source.html">stan/math/prim/arr/meta/container_view.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2get_8hpp_source.html">stan/math/prim/arr/meta/get.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2index__type_8hpp_source.html">stan/math/prim/arr/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/arr/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2is__vector_8hpp_source.html">stan/math/prim/arr/meta/is_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2length_8hpp_source.html">stan/math/prim/arr/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2value__type_8hpp_source.html">stan/math/prim/arr/meta/value_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2_vector_builder_helper_8hpp_source.html">stan/math/prim/arr/meta/VectorBuilderHelper.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2_vector_view_8hpp_source.html">stan/math/prim/arr/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2err_2check__ordered_8hpp_source.html">stan/math/prim/arr/err/check_ordered.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="dist_8hpp_source.html">stan/math/prim/arr/fun/dist.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="dot_8hpp_source.html">stan/math/prim/arr/fun/dot.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2fun_2dot__self_8hpp_source.html">stan/math/prim/arr/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2fun_2fill_8hpp_source.html">stan/math/prim/arr/fun/fill.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/arr/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2fun_2promote__scalar_8hpp_source.html">stan/math/prim/arr/fun/promote_scalar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2fun_2promote__scalar__type_8hpp_source.html">stan/math/prim/arr/fun/promote_scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rep__array_8hpp_source.html">stan/math/prim/arr/fun/rep_array.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scaled__add_8hpp_source.html">stan/math/prim/arr/fun/scaled_add.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sub_8hpp_source.html">stan/math/prim/arr/fun/sub.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2fun_2sum_8hpp_source.html">stan/math/prim/arr/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2fun_2value__of_8hpp_source.html">stan/math/prim/arr/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2fun_2value__of__rec_8hpp_source.html">stan/math/prim/arr/fun/value_of_rec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="coupled__ode__observer_8hpp_source.html">stan/math/prim/arr/functor/coupled_ode_observer.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">stan/math/prim/arr/functor/coupled_ode_system.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="integrate__ode__rk45_8hpp_source.html">stan/math/prim/arr/functor/integrate_ode_rk45.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_8hpp_source.html">stan/math/prim/scal.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2arr_8hpp_source.html">Go to the source code of this file.</a></p>
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+<a href="prim_2arr_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2meta_2container__view_8hpp.html">stan/math/prim/arr/meta/container_view.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2meta_2get_8hpp.html">stan/math/prim/arr/meta/get.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2meta_2index__type_8hpp.html">stan/math/prim/arr/meta/index_type.hpp</a>&gt;</span></div>
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diff --git a/doc/api/html/prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html b/doc/api/html/prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/shared_ptr.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2is__nan_8hpp_source.html">stan/math/prim/scal/fun/is_nan.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> is a thin wrapper on Eigen::LDLT to allow for reusing factorizations and efficient autodiff of things like log determinants and solutions to linear systems.  <a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#details">More...</a><br /></td></tr>
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diff --git a/doc/api/html/prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html b/doc/api/html/prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html
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+<div class="title">LDLT_factor.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_LDLT_FACTOR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_LDLT_FACTOR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/shared_ptr.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2is__nan_8hpp.html">stan/math/prim/scal/fun/is_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="comment">// This class is conceptually similar to the corresponding Eigen class</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="comment">// Any spd matrix A can be decomposed as LDL&#39; where L is unit</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="comment">// lower-triangular and D is diagonal with positive diagonal elements</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor.html">   18</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C, <span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">   58</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a>&lt;T, R, C&gt; {</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0de1ea9ce3323c55650a7ee9eef34891">   60</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0de1ea9ce3323c55650a7ee9eef34891">LDLT_factor</a>()</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        : <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>(0), <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a45a78506bb83f07720da6b8430e8cad7">_ldltP</a>(new <a class="code" href="namespace_eigen.html">Eigen</a>::LDLT&lt; <a class="code" href="namespace_eigen.html">Eigen</a>::Matrix&lt;T, R, C&gt; &gt;()) {}</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#acd8fab9a85153322a4b00d8fbf00d7f8">   63</a></span>&#160;      <span class="keyword">explicit</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#acd8fab9a85153322a4b00d8fbf00d7f8">LDLT_factor</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, R, C&gt; &amp;A)</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        : <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>(0), <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a45a78506bb83f07720da6b8430e8cad7">_ldltP</a>(new <a class="code" href="namespace_eigen.html">Eigen</a>::LDLT&lt; <a class="code" href="namespace_eigen.html">Eigen</a>::Matrix&lt;T, R, C&gt; &gt;()) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        compute(A);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0ffe0d59212a19f9039b478abbacd45e">   68</a></span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0ffe0d59212a19f9039b478abbacd45e">compute</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, R, C&gt; &amp;A) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;LDLT_factor&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a> = A.rows();</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a45a78506bb83f07720da6b8430e8cad7">_ldltP</a>-&gt;compute(A);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      }</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a22f6b503fe331aeeac5368b1f10eac0d">   74</a></span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a22f6b503fe331aeeac5368b1f10eac0d">success</a>()<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a921dd9cd85ce1a6fca79c7b07cd80b99">stan::math::is_nan</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="comment">// bool ret;</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="comment">// ret = _ldltP-&gt;info() == Eigen::Success;</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="comment">// ret = ret &amp;&amp; _ldltP-&gt;isPositive();</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="comment">// ret = ret &amp;&amp; (_ldltP-&gt;vectorD().array() &gt; 0).all();</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="comment">// return ret;</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a45a78506bb83f07720da6b8430e8cad7">_ldltP</a>-&gt;info() != Eigen::Success)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keywordflow">if</span> (!(<a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a45a78506bb83f07720da6b8430e8cad7">_ldltP</a>-&gt;isPositive()))</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; ldltP_diag(<a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a45a78506bb83f07720da6b8430e8cad7">_ldltP</a>-&gt;vectorD());</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; ldltP_diag.size(); ++i)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          <span class="keywordflow">if</span> (ldltP_diag(i) &lt;= 0 || <a class="code" href="namespacestan_1_1math.html#a921dd9cd85ce1a6fca79c7b07cd80b99">is_nan</a>(ldltP_diag(i)))</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a4762da221ad734ac0d1572df6a16de9c">   93</a></span>&#160;      <span class="keyword">inline</span> T <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a4762da221ad734ac0d1572df6a16de9c">log_abs_det</a>()<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a45a78506bb83f07720da6b8430e8cad7">_ldltP</a>-&gt;vectorD().array().log().sum();</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      }</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a5b44e5dd48e3e8b8dbc4bc7a37b64d86">   97</a></span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a5b44e5dd48e3e8b8dbc4bc7a37b64d86">inverse</a>(Eigen::Matrix&lt;T, R, C&gt; &amp;invA)<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        invA.setIdentity(<a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a45a78506bb83f07720da6b8430e8cad7">_ldltP</a>-&gt;solveInPlace(invA);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      }</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Rhs&gt;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keyword">inline</span> <span class="keyword">const</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      Eigen::internal::solve_retval&lt;Eigen::LDLT&lt; Eigen::Matrix&lt;T, R, C&gt; &gt;, Rhs&gt;</div>
+<div class="line"><a name="l00105"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0687e6e28885a9c5d0d14bc94cd41d01">  105</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0687e6e28885a9c5d0d14bc94cd41d01">solve</a>(<span class="keyword">const</span> Eigen::MatrixBase&lt;Rhs&gt;&amp; b)<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a45a78506bb83f07720da6b8430e8cad7">_ldltP</a>-&gt;solve(b);</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      }</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keyword">inline</span> Eigen::Matrix&lt;T, R, C&gt;</div>
+<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2e05d02dd6e5bb010b14d1fdc71cea64">  110</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2e05d02dd6e5bb010b14d1fdc71cea64">solveRight</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, R, C&gt; &amp;B)<span class="keyword"> const </span>{</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a45a78506bb83f07720da6b8430e8cad7">_ldltP</a>-&gt;solve(B.transpose()).<a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>();</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      }</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
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+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div>
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+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      }</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
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+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html_a0687e6e28885a9c5d0d14bc94cd41d01"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0687e6e28885a9c5d0d14bc94cd41d01">stan::math::LDLT_factor&lt; T, R, C &gt;::solve</a></div><div class="ttdeci">const Eigen::internal::solve_retval&lt; Eigen::LDLT&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;, Rhs &gt; solve(const Eigen::MatrixBase&lt; Rhs &gt; &amp;b) const </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00105">LDLT_factor.hpp:105</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html_a2ef573d4866782c4bdcd33865bea11f1"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2ef573d4866782c4bdcd33865bea11f1">stan::math::LDLT_factor&lt; T, R, C &gt;::value_type</a></div><div class="ttdeci">double value_type</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00126">LDLT_factor.hpp:126</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2is__nan_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2is__nan_8hpp.html">is_nan.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html_a27b82bfd635b040326895c282e9edb43"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a27b82bfd635b040326895c282e9edb43">stan::math::LDLT_factor&lt; T, R, C &gt;::_ldltP</a></div><div class="ttdeci">boost::shared_ptr&lt; Eigen::LDLT&lt; Eigen::Matrix&lt; T, R, C &gt; &gt; &gt; _ldltP</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00129">LDLT_factor.hpp:129</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html_a0de1ea9ce3323c55650a7ee9eef34891"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a0de1ea9ce3323c55650a7ee9eef34891">stan::math::LDLT_factor&lt; T, R, C &gt;::LDLT_factor</a></div><div class="ttdeci">LDLT_factor()</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00060">LDLT_factor.hpp:60</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html_acd8fab9a85153322a4b00d8fbf00d7f8"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#acd8fab9a85153322a4b00d8fbf00d7f8">stan::math::LDLT_factor&lt; T, R, C &gt;::LDLT_factor</a></div><div class="ttdeci">LDLT_factor(const Eigen::Matrix&lt; T, R, C &gt; &amp;A)</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00063">LDLT_factor.hpp:63</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html_a2e05d02dd6e5bb010b14d1fdc71cea64"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a2e05d02dd6e5bb010b14d1fdc71cea64">stan::math::LDLT_factor&lt; T, R, C &gt;::solveRight</a></div><div class="ttdeci">Eigen::Matrix&lt; T, R, C &gt; solveRight(const Eigen::Matrix&lt; T, R, C &gt; &amp;B) const </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00110">LDLT_factor.hpp:110</a></div></div>
+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html_a22f6b503fe331aeeac5368b1f10eac0d"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a22f6b503fe331aeeac5368b1f10eac0d">stan::math::LDLT_factor&lt; T, R, C &gt;::success</a></div><div class="ttdeci">bool success() const </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00074">LDLT_factor.hpp:74</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html_a3b6f930baacb4fb2ecca1acf8d104ffb"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a3b6f930baacb4fb2ecca1acf8d104ffb">stan::math::LDLT_factor&lt; T, R, C &gt;::matrixLDLT</a></div><div class="ttdeci">Eigen::LDLT&lt; Eigen::Matrix&lt; T, R, C &gt; &gt; matrixLDLT() const </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00118">LDLT_factor.hpp:118</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__pos__definite_8hpp_source.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
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+<tr class="memitem:a4d798c4cab5a0716a0e338de38617c8e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a4d798c4cab5a0716a0e338de38617c8e"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4d798c4cab5a0716a0e338de38617c8e">stan::math::cholesky_decompose</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</td></tr>
+<tr class="memdesc:a4d798c4cab5a0716a0e338de38617c8e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the lower-triangular Cholesky factor (i.e., matrix square root) of the specified square, symmetric matrix.  <a href="namespacestan_1_1math.html#a4d798c4cab5a0716a0e338de38617c8e">More...</a><br /></td></tr>
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+<a href="prim_2mat_2fun_2cholesky__decompose_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_CHOLESKY_DECOMPOSE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__pos__definite_8hpp.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
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+<tr class="memitem:a6d03b34aa7329a68f31d1c7bc500c5c8"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a6d03b34aa7329a68f31d1c7bc500c5c8"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; double, 1, C1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6d03b34aa7329a68f31d1c7bc500c5c8">stan::math::columns_dot_product</a> (const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;v2)</td></tr>
+<tr class="memdesc:a6d03b34aa7329a68f31d1c7bc500c5c8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of the specified vectors.  <a href="namespacestan_1_1math.html#a6d03b34aa7329a68f31d1c7bc500c5c8">More...</a><br /></td></tr>
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+<a href="prim_2mat_2fun_2columns__dot__product_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_COLUMNS_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_COLUMNS_DOT_PRODUCT_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                        <span class="keyword">const</span> Eigen::Matrix&lt;double, R2, C2&gt;&amp; v2) {</div>
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+<div class="ttc" id="check__matching__sizes_8hpp_html"><div class="ttname"><a href="check__matching__sizes_8hpp.html">check_matching_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+<p><a href="prim_2mat_2fun_2columns__dot__self_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:a3cc404fd71124d7cea29d4f6d1a767b9"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, 1, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3cc404fd71124d7cea29d4f6d1a767b9">stan::math::columns_dot_self</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;x)</td></tr>
+<tr class="memdesc:a3cc404fd71124d7cea29d4f6d1a767b9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of each column of a matrix with itself.  <a href="namespacestan_1_1math.html#a3cc404fd71124d7cea29d4f6d1a767b9">More...</a><br /></td></tr>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;T, 1, C&gt;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2tcrossprod_8hpp_source.html">stan/math/prim/mat/fun/tcrossprod.hpp</a>&gt;</code><br />
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+<tr class="memdesc:a62cc3a137ff3220bdd0137a52a4b9714"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the result of pre-multiplying a matrix by its own transpose.  <a href="namespacestan_1_1math.html#a62cc3a137ff3220bdd0137a52a4b9714">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab379e9a9f74dab16c41d82978cc4b58e"><div class="ttname"><a href="namespacestan_1_1math.html#ab379e9a9f74dab16c41d82978cc4b58e">stan::math::tcrossprod</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R, R &gt; tcrossprod(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2tcrossprod_8hpp_source.html#l00017">tcrossprod.hpp:17</a></div></div>
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+<tr class="memitem:ab65e9ab0e6f725c7e11068b0be2af84f"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ab65e9ab0e6f725c7e11068b0be2af84f"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab65e9ab0e6f725c7e11068b0be2af84f">stan::math::determinant</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:ab65e9ab0e6f725c7e11068b0be2af84f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the determinant of the specified square matrix.  <a href="namespacestan_1_1math.html#ab65e9ab0e6f725c7e11068b0be2af84f">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="title">divide.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/type_traits/is_arithmetic.hpp&gt;</code><br />
+<code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2divide_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a082ee76b34a2ea656d2c8ab9186c1a2b"><td class="memTemplParams" colspan="2">template&lt;int R, int C, typename T &gt; </td></tr>
+<tr class="memitem:a082ee76b34a2ea656d2c8ab9186c1a2b"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; boost::is_arithmetic&lt; T &gt;::value, Eigen::Matrix&lt; double, R, C &gt; &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a082ee76b34a2ea656d2c8ab9186c1a2b">stan::math::divide</a> (const Eigen::Matrix&lt; double, R, C &gt; &amp;m, T c)</td></tr>
+<tr class="memdesc:a082ee76b34a2ea656d2c8ab9186c1a2b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return specified matrix divided by specified scalar.  <a href="namespacestan_1_1math.html#a082ee76b34a2ea656d2c8ab9186c1a2b">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="prim_2mat_2fun_2dot__product_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:af8d73851895fb151fdf79e55bf33e98e"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:af8d73851895fb151fdf79e55bf33e98e"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af8d73851895fb151fdf79e55bf33e98e">stan::math::dot_product</a> (const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;v2)</td></tr>
+<tr class="memdesc:af8d73851895fb151fdf79e55bf33e98e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of the specified vectors.  <a href="namespacestan_1_1math.html#af8d73851895fb151fdf79e55bf33e98e">More...</a><br /></td></tr>
+<tr class="separator:af8d73851895fb151fdf79e55bf33e98e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a58da447df259e9e092e8fd910b338e1f"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a58da447df259e9e092e8fd910b338e1f">stan::math::dot_product</a> (const double *v1, const double *v2, size_t length)</td></tr>
+<tr class="memdesc:a58da447df259e9e092e8fd910b338e1f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of the specified arrays of doubles.  <a href="namespacestan_1_1math.html#a58da447df259e9e092e8fd910b338e1f">More...</a><br /></td></tr>
+<tr class="separator:a58da447df259e9e092e8fd910b338e1f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ab7cd93708bf432b3bd3d284958972ede"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of the specified arrays of doubles.  <a href="namespacestan_1_1math.html#ab7cd93708bf432b3bd3d284958972ede">More...</a><br /></td></tr>
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+<div class="title">dot_product.hpp</div>  </div>
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+<a href="prim_2mat_2fun_2dot__product_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__vector_8hpp.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__sizes_8hpp.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                              <span class="keyword">const</span> Eigen::Matrix&lt;double, R2, C2&gt;&amp; v2) {</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="check__matching__sizes_8hpp_html"><div class="ttname"><a href="check__matching__sizes_8hpp.html">check_matching_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a52ba893fcf6fc650e992c13d41fbc3ae"><div class="ttname"><a href="namespacestan_1_1math.html#a52ba893fcf6fc650e992c13d41fbc3ae">stan::math::check_matching_sizes</a></div><div class="ttdeci">bool check_matching_sizes(const char *function, const char *name1, const T_y1 &amp;y1, const char *name2, const T_y2 &amp;y2)</div><div class="ttdoc">Return true if two structures at the same size. </div><div class="ttdef"><b>Definition:</b> <a href="check__matching__sizes_8hpp_source.html#l00029">check_matching_sizes.hpp:29</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a495321127b7e0ebdd4d52654d226e16b"><div class="ttname"><a href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">stan::math::dot_product</a></div><div class="ttdeci">fvar&lt; T &gt; dot_product(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;v2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00020">dot_product.hpp:20</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2dot__self_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac81ab85d390fcb594884773a85fac657"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:ac81ab85d390fcb594884773a85fac657"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac81ab85d390fcb594884773a85fac657">stan::math::dot_self</a> (const Eigen::Matrix&lt; double, R, C &gt; &amp;v)</td></tr>
+<tr class="memdesc:ac81ab85d390fcb594884773a85fac657"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of the specified vector with itself.  <a href="namespacestan_1_1math.html#ac81ab85d390fcb594884773a85fac657">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
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+<p><a href="prim_2mat_2fun_2exp_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a7ad4663394747a548b42f8cbe9def1f7"><td class="memTemplParams" colspan="2">template&lt;typename T , int Rows, int Cols&gt; </td></tr>
+<tr class="memitem:a7ad4663394747a548b42f8cbe9def1f7"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Rows, Cols &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7ad4663394747a548b42f8cbe9def1f7">stan::math::exp</a> (const Eigen::Matrix&lt; T, Rows, Cols &gt; &amp;m)</td></tr>
+<tr class="memdesc:a7ad4663394747a548b42f8cbe9def1f7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the element-wise exponentiation of the matrix or vector.  <a href="namespacestan_1_1math.html#a7ad4663394747a548b42f8cbe9def1f7">More...</a><br /></td></tr>
+<tr class="separator:a7ad4663394747a548b42f8cbe9def1f7"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:ab3bd08f492d4ae400850ecb98b9b6cb9"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; double, Rows, Cols &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab3bd08f492d4ae400850ecb98b9b6cb9">stan::math::exp</a> (const Eigen::Matrix&lt; double, Rows, Cols &gt; &amp;m)</td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_EXP_HPP</span></div>
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+<div class="title">inverse.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2inverse_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad621964cbb3b06ba80811cd58e3048a0"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ad621964cbb3b06ba80811cd58e3048a0"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad621964cbb3b06ba80811cd58e3048a0">stan::math::inverse</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:ad621964cbb3b06ba80811cd58e3048a0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the inverse of the specified matrix.  <a href="namespacestan_1_1math.html#ad621964cbb3b06ba80811cd58e3048a0">More...</a><br /></td></tr>
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+<a href="prim_2mat_2fun_2inverse_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_INVERSE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
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+<p><a href="prim_2mat_2fun_2log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:ac3b52b30a04e9a9f216b49ef06ab7a61"><td class="memTemplParams" colspan="2">template&lt;typename T , int Rows, int Cols&gt; </td></tr>
+<tr class="memitem:ac3b52b30a04e9a9f216b49ef06ab7a61"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Rows, Cols &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac3b52b30a04e9a9f216b49ef06ab7a61">stan::math::log</a> (const Eigen::Matrix&lt; T, Rows, Cols &gt; &amp;m)</td></tr>
+<tr class="memdesc:ac3b52b30a04e9a9f216b49ef06ab7a61"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the element-wise logarithm of the matrix or vector.  <a href="namespacestan_1_1math.html#ac3b52b30a04e9a9f216b49ef06ab7a61">More...</a><br /></td></tr>
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+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
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+<p><a href="prim_2mat_2fun_2log__determinant_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:aca29dad18932e3ca17ac52fd0238b364"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aca29dad18932e3ca17ac52fd0238b364">stan::math::log_determinant</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:aca29dad18932e3ca17ac52fd0238b364"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log absolute determinant of the specified square matrix.  <a href="namespacestan_1_1math.html#aca29dad18932e3ca17ac52fd0238b364">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6f88bd206be351748e56aebf7e58289a"><div class="ttname"><a href="namespacestan_1_1math.html#a6f88bd206be351748e56aebf7e58289a">stan::math::log_determinant</a></div><div class="ttdeci">fvar&lt; T &gt; log_determinant(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2log__determinant_8hpp_source.html#l00020">log_determinant.hpp:20</a></div></div>
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+<tr class="memitem:a1d95f632b80e8653fe5891209bdeda45"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">stan::math::log_determinant_ldlt</a> (<a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T, R, C &gt; &amp;A)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_5ad826fc69c5de8867ad775040807419.html">fun</a></li>  </ul>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_LOG_DETERMINANT_LDLT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">LDLT_factor.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html_a4762da221ad734ac0d1572df6a16de9c"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html#a4762da221ad734ac0d1572df6a16de9c">stan::math::LDLT_factor&lt; T, R, C &gt;::log_abs_det</a></div><div class="ttdeci">T log_abs_det() const </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00093">LDLT_factor.hpp:93</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4_html"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01_t_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; T, R, C &gt;</a></div><div class="ttdoc">LDLT_factor is a thin wrapper on Eigen::LDLT to allow for reusing factorizations and efficient autodi...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00058">LDLT_factor.hpp:58</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1d95f632b80e8653fe5891209bdeda45"><div class="ttname"><a href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">stan::math::log_determinant_ldlt</a></div><div class="ttdeci">T log_determinant_ldlt(stan::math::LDLT_factor&lt; T, R, C &gt; &amp;A)</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html#l00012">log_determinant_ldlt.hpp:12</a></div></div>
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+<div class="title">log_determinant_spd.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<p><a href="prim_2mat_2fun_2log__determinant__spd_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:ae9a296d4414d0193108c70b350a05cfc"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ae9a296d4414d0193108c70b350a05cfc"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae9a296d4414d0193108c70b350a05cfc">stan::math::log_determinant_spd</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:ae9a296d4414d0193108c70b350a05cfc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log absolute determinant of the specified square matrix.  <a href="namespacestan_1_1math.html#ae9a296d4414d0193108c70b350a05cfc">More...</a><br /></td></tr>
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+<div class="title">log_determinant_spd.hpp</div>  </div>
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+<a href="prim_2mat_2fun_2log__determinant__spd_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_LOG_DETERMINANT_SPD_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_LOG_DETERMINANT_SPD_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae9a296d4414d0193108c70b350a05cfc">   19</a></span>&#160;    <span class="keyword">inline</span> T <a class="code" href="namespacestan_1_1math.html#ae9a296d4414d0193108c70b350a05cfc">log_determinant_spd</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, R, C&gt;&amp; m) {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;log_determinant_spd&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, m);</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="comment">//      Eigen::TriangularView&lt; Eigen::Matrix&lt;T, R, C&gt;, Eigen::Lower &gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="comment">//        L(m.llt().matrixL());</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="comment">//      T ret(0.0);</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="comment">//      for (size_t i = 0; i &lt; L.rows(); i++)</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="comment">//        ret += log(L(i, i));</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="comment">//      return 2*ret;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keywordflow">return</span> m.ldlt().vectorD().array().log().sum();</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;}</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae9a296d4414d0193108c70b350a05cfc"><div class="ttname"><a href="namespacestan_1_1math.html#ae9a296d4414d0193108c70b350a05cfc">stan::math::log_determinant_spd</a></div><div class="ttdeci">T log_determinant_spd(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdoc">Returns the log absolute determinant of the specified square matrix. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2log__determinant__spd_8hpp_source.html#l00019">log_determinant_spd.hpp:19</a></div></div>
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+<div class="title">log_softmax.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/mat/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2log__softmax_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0f60a82d68ef90f7cd5e9f02f121a5d1"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a0f60a82d68ef90f7cd5e9f02f121a5d1"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0f60a82d68ef90f7cd5e9f02f121a5d1">stan::math::log_softmax</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;v)</td></tr>
+<tr class="memdesc:a0f60a82d68ef90f7cd5e9f02f121a5d1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the natural logarithm of the softmax of the specified vector.  <a href="namespacestan_1_1math.html#a0f60a82d68ef90f7cd5e9f02f121a5d1">More...</a><br /></td></tr>
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+<div class="title">log_softmax.hpp</div>  </div>
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+<a href="prim_2mat_2fun_2log__softmax_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_LOG_SOFTMAX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_LOG_SOFTMAX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__sum__exp_8hpp.html">stan/math/prim/mat/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;sstream&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0f60a82d68ef90f7cd5e9f02f121a5d1">   44</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">log_softmax</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; v) {</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">stan::math::log_sum_exp</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a>(<span class="stringliteral">&quot;log_softmax&quot;</span>, <span class="stringliteral">&quot;v&quot;</span>, v);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; theta(v.size());</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      T z = <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(v);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; v.size(); ++i)</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        theta(i) = v(i) - z;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">return</span> theta;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="comment">// T sum(0.0);</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="comment">// T max_v = v.maxCoeff();</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="comment">// for (int i = 0; i &lt; v.size(); ++i)</span></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="comment">//   sum += exp(v(i) - max_v); // log_sum_exp trick</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="comment">// T log_sum = log(sum);</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="comment">// for (int i = 0; i &lt; v.size(); ++i)</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">//   theta(i) = (v(i) - max_v) - log_sum;</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="comment">// return theta;</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    }</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;  }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;}</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a558975cc79251cd99966f99ed8795ddc"><div class="ttname"><a href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">stan::math::log_softmax</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt; log_softmax(const Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt; &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2log__softmax_8hpp_source.html#l00016">log_softmax.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac86474622fba4524c529c4b8024e4ceb"><div class="ttname"><a href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">stan::math::log_sum_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log_sum_exp(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00014">log_sum_exp.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a97c3c23033e47a923ed5ce26a4deeba5"><div class="ttname"><a href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a></div><div class="ttdeci">bool check_nonzero_size(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if the specified matrix/vector is of non-zero size. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonzero__size_8hpp_source.html#l00030">check_nonzero_size.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2log__sum__exp_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac1fb47266493c7da21a6508944d65bdf"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:ac1fb47266493c7da21a6508944d65bdf"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac1fb47266493c7da21a6508944d65bdf">stan::math::log_sum_exp</a> (const Eigen::Matrix&lt; double, R, C &gt; &amp;x)</td></tr>
+<tr class="memdesc:ac1fb47266493c7da21a6508944d65bdf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of the sum of the exponentiated values of the specified matrix of values.  <a href="namespacestan_1_1math.html#ac1fb47266493c7da21a6508944d65bdf">More...</a><br /></td></tr>
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+<a href="prim_2mat_2fun_2log__sum__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_LOG_SUM_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_LOG_SUM_EXP_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="promote__common_8hpp_source.html">stan/math/prim/mat/fun/promote_common.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2mdivide__left_8hpp_source.html">Go to the source code of this file.</a></p>
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+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a78e254b9ffb28a6fe6820f9f84412907"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a78e254b9ffb28a6fe6820f9f84412907"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a78e254b9ffb28a6fe6820f9f84412907">stan::math::mdivide_left</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;b)</td></tr>
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+<div class="title">mdivide_left.hpp</div>  </div>
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+<a href="prim_2mat_2fun_2mdivide__left_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MDIVIDE_LEFT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MDIVIDE_LEFT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                  R1, C2&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a78e254b9ffb28a6fe6820f9f84412907">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">mdivide_left</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R1, C1&gt; &amp;A,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                 <span class="keyword">const</span> Eigen::Matrix&lt;T2, R2, C2&gt; &amp;b) {</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left&quot;</span>,</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;}</div>
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+<div class="ttc" id="promote__common_8hpp_html"><div class="ttname"><a href="promote__common_8hpp.html">promote_common.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="title">mdivide_left_ldlt.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="promote__common_8hpp_source.html">stan/math/prim/mat/fun/promote_common.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/type_traits/is_same.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a8d06ecbc0a8e5cc50c42861bb20f1b0e"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2, typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a8d06ecbc0a8e5cc50c42861bb20f1b0e"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8d06ecbc0a8e5cc50c42861bb20f1b0e">stan::math::mdivide_left_ldlt</a> (const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T1, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="memdesc:a8d06ecbc0a8e5cc50c42861bb20f1b0e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A.  <a href="namespacestan_1_1math.html#a8d06ecbc0a8e5cc50c42861bb20f1b0e">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_5ad826fc69c5de8867ad775040807419.html">fun</a></li>  </ul>
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+<div class="title">mdivide_left_ldlt.hpp</div>  </div>
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+<a href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MDIVIDE_LEFT_LDLT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MDIVIDE_LEFT_LDLT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="promote__common_8hpp.html">stan/math/prim/mat/fun/promote_common.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits/is_same.hpp&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2, <span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;<span class="keyword">typename</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                         boost::math::tools::promote_args&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                         R1, C2&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8d06ecbc0a8e5cc50c42861bb20f1b0e">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">mdivide_left_ldlt</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor&lt;T1, R1, C1&gt;</a> &amp;A,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                      <span class="keyword">const</span> Eigen::Matrix&lt;T2, R2, C2&gt; &amp;b) {</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keywordflow">return</span> A.solve(<a class="code" href="namespacestan_1_1math.html#a300cf63dd3332cff2161fdc32aec4026">promote_common</a>&lt;Eigen::Matrix&lt;T1, R2, C2&gt;,</div>
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+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;}</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="promote__common_8hpp_html"><div class="ttname"><a href="promote__common_8hpp.html">promote_common.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_html"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00018">LDLT_factor.hpp:18</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">LDLT_factor.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
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+<div class="title">mdivide_left_spd.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="promote__common_8hpp_source.html">stan/math/prim/mat/fun/promote_common.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__pos__definite_8hpp_source.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
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+<tr class="memitem:af0e78140ced17ce9be79c29b9f23321b"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:af0e78140ced17ce9be79c29b9f23321b"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af0e78140ced17ce9be79c29b9f23321b">stan::math::mdivide_left_spd</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="memdesc:af0e78140ced17ce9be79c29b9f23321b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b where A is symmetric positive definite.  <a href="namespacestan_1_1math.html#af0e78140ced17ce9be79c29b9f23321b">More...</a><br /></td></tr>
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+<div class="title">mdivide_left_spd.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="prim_2mat_2fun_2mdivide__left__spd_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MDIVIDE_LEFT_SPD_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MDIVIDE_LEFT_SPD_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="promote__common_8hpp.html">stan/math/prim/mat/fun/promote_common.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__pos__definite_8hpp.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                  R1, C2&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af0e78140ced17ce9be79c29b9f23321b">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#af0e78140ced17ce9be79c29b9f23321b">mdivide_left_spd</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R1, C1&gt; &amp;A,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                     <span class="keyword">const</span> Eigen::Matrix&lt;T2, R2, C2&gt; &amp;b) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a>(<span class="stringliteral">&quot;mdivide_left_spd&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
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+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                                                <span class="stringliteral">&quot;b&quot;</span>, b);</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        .llt()</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  }</div>
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+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="promote__common_8hpp_html"><div class="ttname"><a href="promote__common_8hpp.html">promote_common.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a300cf63dd3332cff2161fdc32aec4026"><div class="ttname"><a href="namespacestan_1_1math.html#a300cf63dd3332cff2161fdc32aec4026">stan::math::promote_common</a></div><div class="ttdeci">common_type&lt; T1, T2 &gt;::type promote_common(const F &amp;u)</div><div class="ttdef"><b>Definition:</b> <a href="promote__common_8hpp_source.html#l00014">promote_common.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a73c78430d39530eb8c4ef3fed06f7082"><div class="ttname"><a href="namespacestan_1_1math.html#a73c78430d39530eb8c4ef3fed06f7082">stan::math::check_pos_definite</a></div><div class="ttdeci">bool check_pos_definite(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified square, symmetric matrix is positive definite. </div><div class="ttdef"><b>Definition:</b> <a href="check__pos__definite_8hpp_source.html#l00037">check_pos_definite.hpp:37</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab874d14a9441896a9d9e0172ba555357"><div class="ttname"><a href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a></div><div class="ttdeci">bool check_symmetric(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is symmetric. </div><div class="ttdef"><b>Definition:</b> <a href="check__symmetric_8hpp_source.html#l00037">check_symmetric.hpp:37</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="check__pos__definite_8hpp_html"><div class="ttname"><a href="check__pos__definite_8hpp.html">check_pos_definite.hpp</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
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+<div class="title">mdivide_left_tri.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="promote__common_8hpp_source.html">stan/math/prim/mat/fun/promote_common.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2mdivide__left__tri_8hpp_source.html">Go to the source code of this file.</a></p>
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ab9ef591181f40598fd3c012c6e5e354d"><td class="memTemplParams" colspan="2">template&lt;int TriView, typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:ab9ef591181f40598fd3c012c6e5e354d"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab9ef591181f40598fd3c012c6e5e354d">stan::math::mdivide_left_tri</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="memdesc:ab9ef591181f40598fd3c012c6e5e354d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b when A is triangular.  <a href="namespacestan_1_1math.html#ab9ef591181f40598fd3c012c6e5e354d">More...</a><br /></td></tr>
+<tr class="separator:ab9ef591181f40598fd3c012c6e5e354d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1e94b2554b4728e4932aded1d71eb026"><td class="memTemplParams" colspan="2">template&lt;int TriView, typename T , int R1, int C1&gt; </td></tr>
+<tr class="memitem:a1e94b2554b4728e4932aded1d71eb026"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, R1, C1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1e94b2554b4728e4932aded1d71eb026">stan::math::mdivide_left_tri</a> (const Eigen::Matrix&lt; T, R1, C1 &gt; &amp;A)</td></tr>
+<tr class="memdesc:a1e94b2554b4728e4932aded1d71eb026"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b when A is triangular and b=I.  <a href="namespacestan_1_1math.html#a1e94b2554b4728e4932aded1d71eb026">More...</a><br /></td></tr>
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+<div class="title">mdivide_left_tri.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="prim_2mat_2fun_2mdivide__left__tri_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MDIVIDE_LEFT_TRI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MDIVIDE_LEFT_TRI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="promote__common_8hpp.html">stan/math/prim/mat/fun/promote_common.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> TriView, <span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;              <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type,</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left_tri&quot;</span>,</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordtype">int</span> n = A.rows();</div>
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+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
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+<div class="ttc" id="promote__common_8hpp_html"><div class="ttname"><a href="promote__common_8hpp.html">promote_common.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ab9ef591181f40598fd3c012c6e5e354d"><div class="ttname"><a href="namespacestan_1_1math.html#ab9ef591181f40598fd3c012c6e5e354d">stan::math::mdivide_left_tri</a></div><div class="ttdeci">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt; mdivide_left_tri(const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;b)</div><div class="ttdoc">Returns the solution of the system Ax=b when A is triangular. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2mdivide__left__tri_8hpp_source.html#l00027">mdivide_left_tri.hpp:27</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__tri_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_tri.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
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+<p><a href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a154c4bb61dd8dce054238940b75aeaac"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a154c4bb61dd8dce054238940b75aeaac"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a154c4bb61dd8dce054238940b75aeaac">stan::math::mdivide_left_tri_low</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;b)</td></tr>
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+<tr class="memitem:afdd9357ad5b52be5547eecdde95e968b"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, R1, C1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afdd9357ad5b52be5547eecdde95e968b">stan::math::mdivide_left_tri_low</a> (const Eigen::Matrix&lt; T, R1, C1 &gt; &amp;A)</td></tr>
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+<a href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MDIVIDE_LEFT_TRI_LOW_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MDIVIDE_LEFT_TRI_LOW_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__tri_8hpp.html">stan/math/prim/mat/fun/mdivide_left_tri.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    Eigen::Matrix&lt;typename boost::math::tools::promote_args&lt;T1, T2&gt;::type,</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    R1, C2&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a154c4bb61dd8dce054238940b75aeaac">   16</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a7eb79c8ce7ae730ba02342b4241aeac1">mdivide_left_tri_low</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R1, C1&gt; &amp;A,</div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left_tri_low&quot;</span>,</div>
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+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__tri_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__tri_8hpp.html">mdivide_left_tri.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7eb79c8ce7ae730ba02342b4241aeac1"><div class="ttname"><a href="namespacestan_1_1math.html#a7eb79c8ce7ae730ba02342b4241aeac1">stan::math::mdivide_left_tri_low</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; mdivide_left_tri_low(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html#l00022">mdivide_left_tri_low.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2mdivide__right_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a3fc8c5bb0af596842ae6cc7f11556f56"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a3fc8c5bb0af596842ae6cc7f11556f56"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3fc8c5bb0af596842ae6cc7f11556f56">stan::math::mdivide_right</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;b, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;A)</td></tr>
+<tr class="memdesc:a3fc8c5bb0af596842ae6cc7f11556f56"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b.  <a href="namespacestan_1_1math.html#a3fc8c5bb0af596842ae6cc7f11556f56">More...</a><br /></td></tr>
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+<a href="prim_2mat_2fun_2mdivide__right_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MDIVIDE_RIGHT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MDIVIDE_RIGHT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">inline</span></div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                  R1, C2&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3fc8c5bb0af596842ae6cc7f11556f56">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">mdivide_right</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R1, C1&gt; &amp;b,</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="comment">// FIXME: This is nice and general but likely slow.</span></div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment">//      return promote_common&lt;Eigen::Matrix&lt;T1, R2, C2&gt;,</span></div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="comment">//        .transpose()</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="comment">//        .lu()</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="comment">//        .solve(promote_common&lt;Eigen::Matrix&lt;T1, R1, C1&gt;,</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="comment">//                              Eigen::Matrix&lt;T2, R1, C1&gt; &gt;(b)</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="comment">//               .transpose())</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="comment">//        .transpose();</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  }</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;}</div>
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+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="transpose_8hpp_html"><div class="ttname"><a href="transpose_8hpp.html">transpose.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a89f315f3af384f2d49a3a26eaef209ac"><div class="ttname"><a href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">stan::math::transpose</a></div><div class="ttdeci">Eigen::Matrix&lt; T, C, R &gt; transpose(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="transpose_8hpp_source.html#l00012">transpose.hpp:12</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2ad09daa535a7aeda34199d43a8e9e29"><div class="ttname"><a href="namespacestan_1_1math.html#a2ad09daa535a7aeda34199d43a8e9e29">stan::math::mdivide_right</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C2 &gt; mdivide_right(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2mdivide__right_8hpp_source.html#l00024">mdivide_right.hpp:24</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left_8hpp.html">mdivide_left.hpp</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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diff --git a/doc/api/html/prim_2mat_2fun_2mdivide__right__tri__low_8hpp.html b/doc/api/html/prim_2mat_2fun_2mdivide__right__tri__low_8hpp.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_5ad826fc69c5de8867ad775040807419.html">fun</a></li>  </ul>
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+<div class="title">mdivide_right_tri_low.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mdivide__right__tri_8hpp_source.html">stan/math/prim/mat/fun/mdivide_right_tri.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="promote__common_8hpp_source.html">stan/math/prim/mat/fun/promote_common.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a38aef2711a500bdb997863f0dc6b5d17"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a38aef2711a500bdb997863f0dc6b5d17"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a38aef2711a500bdb997863f0dc6b5d17">stan::math::mdivide_right_tri_low</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;b, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;A)</td></tr>
+<tr class="memdesc:a38aef2711a500bdb997863f0dc6b5d17"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system tri(A)x=b when tri(A) is a lower triangular view of the matrix A.  <a href="namespacestan_1_1math.html#a38aef2711a500bdb997863f0dc6b5d17">More...</a><br /></td></tr>
+<tr class="separator:a38aef2711a500bdb997863f0dc6b5d17"><td class="memSeparator" colspan="2">&#160;</td></tr>
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diff --git a/doc/api/html/prim_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html b/doc/api/html/prim_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html
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+<a href="prim_2mat_2fun_2mdivide__right__tri__low_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MDIVIDE_RIGHT_TRI_LOW_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="promote__common_8hpp_html"><div class="ttname"><a href="promote__common_8hpp.html">promote_common.hpp</a></div></div>
+<div class="ttc" id="mdivide__right__tri_8hpp_html"><div class="ttname"><a href="mdivide__right__tri_8hpp.html">mdivide_right_tri.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a300cf63dd3332cff2161fdc32aec4026"><div class="ttname"><a href="namespacestan_1_1math.html#a300cf63dd3332cff2161fdc32aec4026">stan::math::promote_common</a></div><div class="ttdeci">common_type&lt; T1, T2 &gt;::type promote_common(const F &amp;u)</div><div class="ttdef"><b>Definition:</b> <a href="promote__common_8hpp_source.html#l00014">promote_common.hpp:14</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5309461c7fc32ca494e80af0722766af"><div class="ttname"><a href="namespacestan_1_1math.html#a5309461c7fc32ca494e80af0722766af">stan::math::mdivide_right_tri_low</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; mdivide_right_tri_low(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html#l00022">mdivide_right_tri_low.hpp:22</a></div></div>
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+<div class="title">multiply.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/type_traits/is_arithmetic.hpp&gt;</code><br />
+<code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2multiply_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a919d4a6495c489841df3d0423200b147"><td class="memTemplParams" colspan="2">template&lt;int R, int C, typename T &gt; </td></tr>
+<tr class="memitem:a919d4a6495c489841df3d0423200b147"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; boost::is_arithmetic&lt; T &gt;::value, Eigen::Matrix&lt; double, R, C &gt; &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a919d4a6495c489841df3d0423200b147">stan::math::multiply</a> (const Eigen::Matrix&lt; double, R, C &gt; &amp;m, T c)</td></tr>
+<tr class="memdesc:a919d4a6495c489841df3d0423200b147"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return specified matrix multiplied by specified scalar.  <a href="namespacestan_1_1math.html#a919d4a6495c489841df3d0423200b147">More...</a><br /></td></tr>
+<tr class="separator:a919d4a6495c489841df3d0423200b147"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5a2b6dbfb5543b73dac8496091745ec1"><td class="memTemplParams" colspan="2">template&lt;int R, int C, typename T &gt; </td></tr>
+<tr class="memitem:a5a2b6dbfb5543b73dac8496091745ec1"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; boost::is_arithmetic&lt; T &gt;::value, Eigen::Matrix&lt; double, R, C &gt; &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5a2b6dbfb5543b73dac8496091745ec1">stan::math::multiply</a> (T c, const Eigen::Matrix&lt; double, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:a5a2b6dbfb5543b73dac8496091745ec1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return specified scalar multiplied by specified matrix.  <a href="namespacestan_1_1math.html#a5a2b6dbfb5543b73dac8496091745ec1">More...</a><br /></td></tr>
+<tr class="separator:a5a2b6dbfb5543b73dac8496091745ec1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aeefbdef5245cd4f80dcee30d2a36131f"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:aeefbdef5245cd4f80dcee30d2a36131f"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; double, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aeefbdef5245cd4f80dcee30d2a36131f">stan::math::multiply</a> (const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;m1, const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;m2)</td></tr>
+<tr class="memdesc:aeefbdef5245cd4f80dcee30d2a36131f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the product of the specified matrices.  <a href="namespacestan_1_1math.html#aeefbdef5245cd4f80dcee30d2a36131f">More...</a><br /></td></tr>
+<tr class="separator:aeefbdef5245cd4f80dcee30d2a36131f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6e67698775aaac248efa49b646ca2a51"><td class="memTemplParams" colspan="2">template&lt;int C1, int R2&gt; </td></tr>
+<tr class="memitem:a6e67698775aaac248efa49b646ca2a51"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6e67698775aaac248efa49b646ca2a51">stan::math::multiply</a> (const Eigen::Matrix&lt; double, 1, C1 &gt; &amp;rv, const Eigen::Matrix&lt; double, R2, 1 &gt; &amp;v)</td></tr>
+<tr class="memdesc:a6e67698775aaac248efa49b646ca2a51"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the scalar product of the specified row vector and specified column vector.  <a href="namespacestan_1_1math.html#a6e67698775aaac248efa49b646ca2a51">More...</a><br /></td></tr>
+<tr class="separator:a6e67698775aaac248efa49b646ca2a51"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">multiply.hpp</div>  </div>
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+<a href="prim_2mat_2fun_2multiply_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MULTIPLY_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_MULTIPLY_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__sizes_8hpp.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits/is_arithmetic.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;boost/utility/enable_if.hpp&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C, <span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">typename</span> boost::enable_if_c&lt;boost::is_arithmetic&lt;T&gt;::value,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                                Eigen::Matrix&lt;double, R, C&gt; &gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a919d4a6495c489841df3d0423200b147">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">multiply</a>(<span class="keyword">const</span> Eigen::Matrix&lt;double, R, C&gt;&amp; m,</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="comment">// FIXME:  apply above pattern everywhere below to remove</span></div>
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+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
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+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a35a69b84ead3c81cbaff702ac429e1cc"><div class="ttname"><a href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; multiply(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;m, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00021">multiply.hpp:21</a></div></div>
+<div class="ttc" id="check__matching__sizes_8hpp_html"><div class="ttname"><a href="check__matching__sizes_8hpp.html">check_matching_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a52ba893fcf6fc650e992c13d41fbc3ae"><div class="ttname"><a href="namespacestan_1_1math.html#a52ba893fcf6fc650e992c13d41fbc3ae">stan::math::check_matching_sizes</a></div><div class="ttdeci">bool check_matching_sizes(const char *function, const char *name1, const T_y1 &amp;y1, const char *name2, const T_y2 &amp;y2)</div><div class="ttdoc">Return true if two structures at the same size. </div><div class="ttdef"><b>Definition:</b> <a href="check__matching__sizes_8hpp_source.html#l00029">check_matching_sizes.hpp:29</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
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+<tr class="memdesc:a3c0c953951f141b35277fe2308777cff"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the result of multiplying the lower triangular portion of the input matrix by its own transpose.  <a href="namespacestan_1_1math.html#a3c0c953951f141b35277fe2308777cff">More...</a><br /></td></tr>
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+<div class="title">multiply_lower_tri_self_transpose.hpp</div>  </div>
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+<a href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_MULTIPLY_LOWER_TRI_SELF_TRANSPOSE_HPP</span></div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a735db87876a1e603cdfb3c8b3c41aab6"><div class="ttname"><a href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">stan::math::matrix_d</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; matrix_d</div><div class="ttdoc">Type for matrix of double values. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2typedefs_8hpp_source.html#l00023">typedefs.hpp:23</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<div class="title">qr_Q.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;Eigen/QR&gt;</code><br />
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+<p><a href="prim_2mat_2fun_2qr___q_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a9559f36eb30f7c55b3576d8540b6bad2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9559f36eb30f7c55b3576d8540b6bad2"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9559f36eb30f7c55b3576d8540b6bad2">stan::math::qr_Q</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</td></tr>
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+<div class="title">qr_Q.hpp</div>  </div>
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+<a href="prim_2mat_2fun_2qr___q_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_QR_Q_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_QR_Q_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;Eigen/QR&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9559f36eb30f7c55b3576d8540b6bad2">   14</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4badef735ea8b1cbfca31cbe49a534cf">qr_Q</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; m) {</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      Eigen::HouseholderQR&lt;matrix_t&gt; qr(m.rows(), m.cols());</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    }</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  }</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;}</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a4badef735ea8b1cbfca31cbe49a534cf"><div class="ttname"><a href="namespacestan_1_1math.html#a4badef735ea8b1cbfca31cbe49a534cf">stan::math::qr_Q</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt; qr_Q(const Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2qr___q_8hpp_source.html#l00015">qr_Q.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a97c3c23033e47a923ed5ce26a4deeba5"><div class="ttname"><a href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a></div><div class="ttdeci">bool check_nonzero_size(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if the specified matrix/vector is of non-zero size. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonzero__size_8hpp_source.html#l00030">check_nonzero_size.hpp:30</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;Eigen/QR&gt;</code><br />
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+Functions</h2></td></tr>
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+<div class="title">qr_R.hpp</div>  </div>
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+<a href="prim_2mat_2fun_2qr___r_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_QR_R_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_QR_R_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3d5b19f8930c14681349d8444142487e">stan::math::check_greater_or_equal</a>(<span class="stringliteral">&quot;qr_R&quot;</span>,</div>
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+<div class="ttc" id="namespacestan_1_1math_html_ae2c6e003d4aa779acef714b05a153c1c"><div class="ttname"><a href="namespacestan_1_1math.html#ae2c6e003d4aa779acef714b05a153c1c">stan::math::qr_R</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt; qr_R(const Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2qr___r_8hpp_source.html#l00015">qr_R.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="title">quad_form.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
+</div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a88f53cb144d0e550d5113e565a91a947"><td class="memTemplParams" colspan="2">template&lt;int RA, int CA, int RB, int CB, typename T &gt; </td></tr>
+<tr class="memitem:a88f53cb144d0e550d5113e565a91a947"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, CB, CB &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a88f53cb144d0e550d5113e565a91a947">stan::math::quad_form</a> (const Eigen::Matrix&lt; T, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; T, RB, CB &gt; &amp;B)</td></tr>
+<tr class="memdesc:a88f53cb144d0e550d5113e565a91a947"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute B^T A B.  <a href="namespacestan_1_1math.html#a88f53cb144d0e550d5113e565a91a947">More...</a><br /></td></tr>
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+<tr class="memitem:a8166027d80ecdbc607ef3c1c44fd1e8d"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8166027d80ecdbc607ef3c1c44fd1e8d">stan::math::quad_form</a> (const Eigen::Matrix&lt; T, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; T, RB, 1 &gt; &amp;B)</td></tr>
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+<div class="title">quad_form.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="prim_2mat_2fun_2quad__form_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/utility/enable_if.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="transpose_8hpp.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="ttc" id="check__symmetric_8hpp_html"><div class="ttname"><a href="check__symmetric_8hpp.html">check_symmetric.hpp</a></div></div>
+<div class="ttc" id="transpose_8hpp_html"><div class="ttname"><a href="transpose_8hpp.html">transpose.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a495321127b7e0ebdd4d52654d226e16b"><div class="ttname"><a href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">stan::math::dot_product</a></div><div class="ttdeci">fvar&lt; T &gt; dot_product(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;v2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00020">dot_product.hpp:20</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a88f53cb144d0e550d5113e565a91a947"><div class="ttname"><a href="namespacestan_1_1math.html#a88f53cb144d0e550d5113e565a91a947">stan::math::quad_form</a></div><div class="ttdeci">Eigen::Matrix&lt; T, CB, CB &gt; quad_form(const Eigen::Matrix&lt; T, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; T, RB, CB &gt; &amp;B)</div><div class="ttdoc">Compute B^T A B. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2quad__form_8hpp_source.html#l00021">quad_form.hpp:21</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a4936ab9c3dab8c4194195de5aa398394"><td class="memTemplParams" colspan="2">template&lt;int RA, int CA, int RB, int CB, typename T &gt; </td></tr>
+<tr class="memitem:a4936ab9c3dab8c4194195de5aa398394"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, CB, CB &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4936ab9c3dab8c4194195de5aa398394">stan::math::quad_form_sym</a> (const Eigen::Matrix&lt; T, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; T, RB, CB &gt; &amp;B)</td></tr>
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+<a href="prim_2mat_2fun_2quad__form__sym_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_QUAD_FORM_SYM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_QUAD_FORM_SYM_HPP</span></div>
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+<div class="title">rows_dot_product.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2rows__dot__product_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a6e1fb33918f8c4e61cc7709905db012c"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a6e1fb33918f8c4e61cc7709905db012c"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; double, R1, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6e1fb33918f8c4e61cc7709905db012c">stan::math::rows_dot_product</a> (const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;v2)</td></tr>
+<tr class="memdesc:a6e1fb33918f8c4e61cc7709905db012c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of the specified vectors.  <a href="namespacestan_1_1math.html#a6e1fb33918f8c4e61cc7709905db012c">More...</a><br /></td></tr>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="ttc" id="check__matching__sizes_8hpp_html"><div class="ttname"><a href="check__matching__sizes_8hpp.html">check_matching_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+<p><a href="prim_2mat_2fun_2rows__dot__self_8hpp_source.html">Go to the source code of this file.</a></p>
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+Namespaces</h2></td></tr>
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+<tr class="memitem:a1ae75387d4a15a928dfe2be6c987e2cb"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a1ae75387d4a15a928dfe2be6c987e2cb"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, R, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1ae75387d4a15a928dfe2be6c987e2cb">stan::math::rows_dot_self</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;x)</td></tr>
+<tr class="memdesc:a1ae75387d4a15a928dfe2be6c987e2cb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of each row of a matrix with itself.  <a href="namespacestan_1_1math.html#a1ae75387d4a15a928dfe2be6c987e2cb">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2variance_8hpp_source.html">stan/math/prim/mat/fun/variance.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2sd_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a34fd02fe795ea38c98f4a02befed309f"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a34fd02fe795ea38c98f4a02befed309f"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34fd02fe795ea38c98f4a02befed309f">stan::math::sd</a> (const std::vector&lt; T &gt; &amp;v)</td></tr>
+<tr class="memdesc:a34fd02fe795ea38c98f4a02befed309f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the unbiased sample standard deviation of the coefficients in the specified column vector.  <a href="namespacestan_1_1math.html#a34fd02fe795ea38c98f4a02befed309f">More...</a><br /></td></tr>
+<tr class="separator:a34fd02fe795ea38c98f4a02befed309f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8e1cb72c1528f0ff383033c642341147"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a8e1cb72c1528f0ff383033c642341147"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8e1cb72c1528f0ff383033c642341147">stan::math::sd</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:a8e1cb72c1528f0ff383033c642341147"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the unbiased sample standard deviation of the coefficients in the specified vector, row vector, or matrix.  <a href="namespacestan_1_1math.html#a8e1cb72c1528f0ff383033c642341147">More...</a><br /></td></tr>
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+<a href="prim_2mat_2fun_2sd_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_SD_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:acd226ffb6c2a089f2e133b74b5fed2b0"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:acd226ffb6c2a089f2e133b74b5fed2b0"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acd226ffb6c2a089f2e133b74b5fed2b0">stan::math::softmax</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;v)</td></tr>
+<tr class="memdesc:acd226ffb6c2a089f2e133b74b5fed2b0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the softmax of the specified vector.  <a href="namespacestan_1_1math.html#acd226ffb6c2a089f2e133b74b5fed2b0">More...</a><br /></td></tr>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2squared__distance_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a292e430d422bfe4984f9eaa1d20840ab"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2, typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a292e430d422bfe4984f9eaa1d20840ab"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a292e430d422bfe4984f9eaa1d20840ab">stan::math::squared_distance</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;v2)</td></tr>
+<tr class="memdesc:a292e430d422bfe4984f9eaa1d20840ab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the squared distance between the specified vectors.  <a href="namespacestan_1_1math.html#a292e430d422bfe4984f9eaa1d20840ab">More...</a><br /></td></tr>
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+<a href="prim_2mat_2fun_2squared__distance_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_SQUARED_DISTANCE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_SQUARED_DISTANCE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__vector_8hpp.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</span></div>
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+<a href="prim_2mat_2fun_2stan__print_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_STAN_PRINT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_STAN_PRINT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;    <span class="comment">// prints used in generator for print() statements in modeling language</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      *o &lt;&lt; x;</div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      *o &lt;&lt; <span class="charliteral">&#39;[&#39;</span>;</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      *o &lt;&lt; <span class="charliteral">&#39;]&#39;</span>;</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                    <span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; x) {</div>
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+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7c14b7fd70050f03a07fdf73a1df06d2"><div class="ttname"><a href="namespacestan_1_1math.html#a7c14b7fd70050f03a07fdf73a1df06d2">stan::math::stan_print</a></div><div class="ttdeci">void stan_print(std::ostream *o, const T &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2stan__print_8hpp_source.html#l00012">stan_print.hpp:12</a></div></div>
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+<a href="#namespaces">Namespaces</a> &#124;
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+<div class="title">sum.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2fun_2sum_8hpp_source.html">stan/math/prim/arr/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2sum_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a44c32c2d7e895378feb11c99091765ad"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a44c32c2d7e895378feb11c99091765ad"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a44c32c2d7e895378feb11c99091765ad">stan::math::sum</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;v)</td></tr>
+<tr class="memdesc:a44c32c2d7e895378feb11c99091765ad"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the sum of the coefficients of the specified column vector.  <a href="namespacestan_1_1math.html#a44c32c2d7e895378feb11c99091765ad">More...</a><br /></td></tr>
+<tr class="separator:a44c32c2d7e895378feb11c99091765ad"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2tcrossprod_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a16b07b3f7d18cdb710806c5793a83d31"><td class="memItemLeft" align="right" valign="top">matrix_d&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a16b07b3f7d18cdb710806c5793a83d31">stan::math::tcrossprod</a> (const matrix_d &amp;M)</td></tr>
+<tr class="memdesc:a16b07b3f7d18cdb710806c5793a83d31"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the result of post-multiplying a matrix by its own transpose.  <a href="namespacestan_1_1math.html#a16b07b3f7d18cdb710806c5793a83d31">More...</a><br /></td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_TCROSSPROD_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="trace_8hpp_source.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2is__var_8hpp_source.html">stan/math/prim/scal/meta/is_var.hpp</a>&gt;</code><br />
+</div>
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+Functions</h2></td></tr>
+<tr class="memitem:a03da89fcbd2829c84a5beeb9ccbf2ccf"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename T3 , int R1, int C1, int R2, int C2, int R3, int C3&gt; </td></tr>
+<tr class="memitem:a03da89fcbd2829c84a5beeb9ccbf2ccf"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt;!<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt; T1 &gt;::value &amp;&amp;!<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt; T2 &gt;::value &amp;&amp;!<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt; T3 &gt;::value, typename boost::math::tools::promote_args&lt; T1, T2, T3 &gt;::type &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a03da89fcbd2829c84a5beeb9ccbf2ccf">stan::math::trace_gen_inv_quad_form_ldlt</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;D, const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T2, R2, C2 &gt; &amp;A, const Eigen::Matrix&lt; T3, R3, C3 &gt; &amp;B)</td></tr>
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diff --git a/doc/api/html/prim_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp_source.html b/doc/api/html/prim_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp_source.html
new file mode 100644
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+<a href="prim_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_TRACE_GEN_INV_QUAD_FORM_LDLT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_TRACE_GEN_INV_QUAD_FORM_LDLT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</span></div>
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+<div class="ttc" id="trace_8hpp_html"><div class="ttname"><a href="trace_8hpp.html">trace.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2is__var_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2is__var_8hpp.html">is_var.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">LDLT_factor.hpp</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
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+<tr class="memitem:a09d402800ee27ba77d03dc3ec365d22e"><td class="memTemplParams" colspan="2">template&lt;int RD, int CD, int RA, int CA, int RB, int CB&gt; </td></tr>
+<tr class="memitem:a09d402800ee27ba77d03dc3ec365d22e"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a09d402800ee27ba77d03dc3ec365d22e">stan::math::trace_gen_quad_form</a> (const Eigen::Matrix&lt; double, RD, CD &gt; &amp;D, const Eigen::Matrix&lt; double, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; double, RB, CB &gt; &amp;B)</td></tr>
+<tr class="memdesc:a09d402800ee27ba77d03dc3ec365d22e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute trace(D B^T A B).  <a href="namespacestan_1_1math.html#a09d402800ee27ba77d03dc3ec365d22e">More...</a><br /></td></tr>
+<tr class="separator:a09d402800ee27ba77d03dc3ec365d22e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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diff --git a/doc/api/html/prim_2mat_2fun_2trace__gen__quad__form_8hpp_source.html b/doc/api/html/prim_2mat_2fun_2trace__gen__quad__form_8hpp_source.html
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+<div class="title">trace_gen_quad_form.hpp</div>  </div>
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+<a href="prim_2mat_2fun_2trace__gen__quad__form_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_TRACE_GEN_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_TRACE_GEN_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/utility/enable_if.hpp&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> RD, <span class="keywordtype">int</span> CD, <span class="keywordtype">int</span> RA, <span class="keywordtype">int</span> CA, <span class="keywordtype">int</span> RB, <span class="keywordtype">int</span> CB&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a09d402800ee27ba77d03dc3ec365d22e">   17</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#acd59dd23ba6d346713d117001b99507f">trace_gen_quad_form</a>(<span class="keyword">const</span> Eigen::Matrix&lt;double, RD, CD&gt; &amp;D,</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;                        <span class="keyword">const</span> Eigen::Matrix&lt;double, RA, CA&gt; &amp;A,</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7001fd7e0296d5dae6ab0a88e1a28547"><div class="ttname"><a href="namespacestan_1_1math.html#a7001fd7e0296d5dae6ab0a88e1a28547">stan::math::trace</a></div><div class="ttdeci">T trace(const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</div><div class="ttdoc">Returns the trace of the specified matrix. </div><div class="ttdef"><b>Definition:</b> <a href="trace_8hpp_source.html#l00020">trace.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
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diff --git a/doc/api/html/prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html b/doc/api/html/prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<div class="title">trace_inv_quad_form_ldlt.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="trace_8hpp_source.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2is__var_8hpp_source.html">stan/math/prim/scal/meta/is_var.hpp</a>&gt;</code><br />
+</div>
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+<tr class="memitem:aaddc5785e5e629683ca0c3d11346d025"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R2, int C2, int R3, int C3&gt; </td></tr>
+<tr class="memitem:aaddc5785e5e629683ca0c3d11346d025"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt;!<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt; T1 &gt;::value &amp;&amp;!<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt; T2 &gt;::value, typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aaddc5785e5e629683ca0c3d11346d025">stan::math::trace_inv_quad_form_ldlt</a> (const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T1, R2, C2 &gt; &amp;A, const Eigen::Matrix&lt; T2, R3, C3 &gt; &amp;B)</td></tr>
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+<div class="title">trace_inv_quad_form_ldlt.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_TRACE_INV_QUAD_FORM_LDLT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_TRACE_INV_QUAD_FORM_LDLT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="trace_8hpp.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="transpose_8hpp.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply_8hpp.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2is__var_8hpp.html">stan/math/prim/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="comment">/*</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">     * Compute the trace of an inverse quadratic form.  I.E., this computes</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">     *       trace(B^T A^-1 B)</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">     * where the LDLT_factor of A is provided.</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">     */</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2, <span class="keywordtype">int</span> R3, <span class="keywordtype">int</span> C3&gt;</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                       boost::math::tools::promote_args&lt;T1, T2&gt;::type&gt;::type</div>
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+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1is__var_html"><div class="ttname"><a href="structstan_1_1is__var.html">stan::is_var</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2is__var_8hpp_source.html#l00007">is_var.hpp:7</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a35a69b84ead3c81cbaff702ac429e1cc"><div class="ttname"><a href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; multiply(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;m, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00021">multiply.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aaddc5785e5e629683ca0c3d11346d025"><div class="ttname"><a href="namespacestan_1_1math.html#aaddc5785e5e629683ca0c3d11346d025">stan::math::trace_inv_quad_form_ldlt</a></div><div class="ttdeci">boost::enable_if_c&lt;!stan::is_var&lt; T1 &gt;::value &amp;&amp;!stan::is_var&lt; T2 &gt;::value, typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type &gt;::type trace_inv_quad_form_ldlt(const stan::math::LDLT_factor&lt; T1, R2, C2 &gt; &amp;A, const Eigen::Matrix&lt; T2, R3, C3 &gt; &amp;B)</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html#l00027">trace_inv_quad_form_ldlt.hpp:27</a></div></div>
+<div class="ttc" id="transpose_8hpp_html"><div class="ttname"><a href="transpose_8hpp.html">transpose.hpp</a></div></div>
+<div class="ttc" id="trace_8hpp_html"><div class="ttname"><a href="trace_8hpp.html">trace.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2is__var_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2is__var_8hpp.html">is_var.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">LDLT_factor.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a63890dd40cd8ad08a55c3b4e8616c741"><div class="ttname"><a href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">stan::math::mdivide_left_ldlt</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T2 &gt;, R1, C2 &gt; mdivide_left_ldlt(const stan::math::LDLT_factor&lt; double, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T2 &gt;, R2, C2 &gt; &amp;b)</div><div class="ttdoc">Returns the solution of the system Ax=b given an LDLT_factor of A. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00025">mdivide_left_ldlt.hpp:25</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">mdivide_left_ldlt.hpp</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a097af33142548fd565d1dab2233fa3e5"><td class="memTemplParams" colspan="2">template&lt;int RA, int CA, int RB, int CB&gt; </td></tr>
+<tr class="memitem:a097af33142548fd565d1dab2233fa3e5"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a097af33142548fd565d1dab2233fa3e5">stan::math::trace_quad_form</a> (const Eigen::Matrix&lt; double, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; double, RB, CB &gt; &amp;B)</td></tr>
+<tr class="memdesc:a097af33142548fd565d1dab2233fa3e5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute trace(B^T A B).  <a href="namespacestan_1_1math.html#a097af33142548fd565d1dab2233fa3e5">More...</a><br /></td></tr>
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+<a href="prim_2mat_2fun_2trace__quad__form_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_TRACE_QUAD_FORM_HPP</span></div>
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+<tr class="memitem:a735db87876a1e603cdfb3c8b3c41aab6"><td class="memItemLeft" align="right" valign="top">typedef Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a735db87876a1e603cdfb3c8b3c41aab6">stan::math::matrix_d</a></td></tr>
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+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__self_8hpp_source.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a59d4d26aa10215a1219dbf615e5f4736"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a59d4d26aa10215a1219dbf615e5f4736"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a59d4d26aa10215a1219dbf615e5f4736">stan::math::unit_vector_constrain</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;y)</td></tr>
+<tr class="memdesc:a59d4d26aa10215a1219dbf615e5f4736"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unit length vector corresponding to the free vector y.  <a href="namespacestan_1_1math.html#a59d4d26aa10215a1219dbf615e5f4736">More...</a><br /></td></tr>
+<tr class="separator:a59d4d26aa10215a1219dbf615e5f4736"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ab02536354716bc493098010f66db1209"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unit length vector corresponding to the free vector y.  <a href="namespacestan_1_1math.html#ab02536354716bc493098010f66db1209">More...</a><br /></td></tr>
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+<a href="prim_2mat_2fun_2unit__vector__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_UNIT_VECTOR_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_UNIT_VECTOR_CONSTRAIN_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__vector_8hpp.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__self_8hpp.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5b78e5ddf65db13aaa65a6c58205fbf2">check_vector</a>(<span class="stringliteral">&quot;unit_vector_constrain&quot;</span>, <span class="stringliteral">&quot;y&quot;</span>, y);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">check_nonzero_size</a>(<span class="stringliteral">&quot;unit_vector_constrain&quot;</span>, <span class="stringliteral">&quot;y&quot;</span>, y);</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="child__type_8hpp_source.html">stan/math/prim/scal/meta/child_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2value__of_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad6ac4b37c5723681111ef69072288fd4"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ad6ac4b37c5723681111ef69072288fd4"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename child_type&lt; T &gt;::type, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad6ac4b37c5723681111ef69072288fd4">stan::math::value_of</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;M)</td></tr>
+<tr class="memdesc:ad6ac4b37c5723681111ef69072288fd4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convert a matrix of type T to a matrix of doubles.  <a href="namespacestan_1_1math.html#ad6ac4b37c5723681111ef69072288fd4">More...</a><br /></td></tr>
+<tr class="separator:ad6ac4b37c5723681111ef69072288fd4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a13a14efcb8bac003a3558da2beea58f4"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
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+<tr class="memdesc:a13a14efcb8bac003a3558da2beea58f4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified argument.  <a href="namespacestan_1_1math.html#a13a14efcb8bac003a3558da2beea58f4">More...</a><br /></td></tr>
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+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ae6b0847f7611d8f396a1f4e112200185"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ae6b0847f7611d8f396a1f4e112200185"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; double, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae6b0847f7611d8f396a1f4e112200185">stan::math::value_of_rec</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;M)</td></tr>
+<tr class="memdesc:ae6b0847f7611d8f396a1f4e112200185"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convert a matrix of type T to a matrix of doubles.  <a href="namespacestan_1_1math.html#ae6b0847f7611d8f396a1f4e112200185">More...</a><br /></td></tr>
+<tr class="separator:ae6b0847f7611d8f396a1f4e112200185"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a87ad8ec419583e8d9ed0c8ab4c5094bd"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; double, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a87ad8ec419583e8d9ed0c8ab4c5094bd">stan::math::value_of_rec</a> (const Eigen::Matrix&lt; double, R, C &gt; &amp;x)</td></tr>
+<tr class="memdesc:a87ad8ec419583e8d9ed0c8ab4c5094bd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified argument.  <a href="namespacestan_1_1math.html#a87ad8ec419583e8d9ed0c8ab4c5094bd">More...</a><br /></td></tr>
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+<div class="title">value_of_rec.hpp</div>  </div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a00b8cbdec7c35e7c93b0f47dae3c5498"><div class="ttname"><a href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">stan::math::value_of_rec</a></div><div class="ttdeci">double value_of_rec(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of__rec_8hpp_source.html#l00021">value_of_rec.hpp:21</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mean_8hpp_source.html">stan/math/prim/mat/fun/mean.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2fun_2variance_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa433ac2fc47bbd40a6d87f62574dff85"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aa433ac2fc47bbd40a6d87f62574dff85"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa433ac2fc47bbd40a6d87f62574dff85">stan::math::variance</a> (const std::vector&lt; T &gt; &amp;v)</td></tr>
+<tr class="memdesc:aa433ac2fc47bbd40a6d87f62574dff85"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the sample variance (divide by length - 1) of the coefficients in the specified standard vector.  <a href="namespacestan_1_1math.html#aa433ac2fc47bbd40a6d87f62574dff85">More...</a><br /></td></tr>
+<tr class="separator:aa433ac2fc47bbd40a6d87f62574dff85"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1f055da8754c2215aac70d7787692f54"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a1f055da8754c2215aac70d7787692f54"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1f055da8754c2215aac70d7787692f54">stan::math::variance</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:a1f055da8754c2215aac70d7787692f54"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the sample variance (divide by length - 1) of the coefficients in the specified column vector.  <a href="namespacestan_1_1math.html#a1f055da8754c2215aac70d7787692f54">More...</a><br /></td></tr>
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+<a href="prim_2mat_2fun_2variance_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_VARIANCE_HPP</span></div>
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+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="ttc" id="check__nonzero__size_8hpp_html"><div class="ttname"><a href="check__nonzero__size_8hpp.html">check_nonzero_size.hpp</a></div></div>
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+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;Eigen/Dense&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary&lt; F, T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Base template class for vectorization of unary scalar functions defined by a template class <code>F</code> to a scalar, standard library vector, or <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> dense matrix expression template.  <a href="structstan_1_1math_1_1apply__scalar__unary.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html">stan::math::apply_scalar_unary&lt; F, double &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template specialization for vectorized functions applying to double arguments.  <a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template specialization for vectorized functions applying to integer arguments.  <a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template specialization for vectorized functions applying to standard vector containers.  <a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#details">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_f3f18f7b764753c8f05a28f0b32e7fbe.html">vectorize</a></li>  </ul>
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+<div class="title">apply_scalar_unary.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_VECTORIZE_APPLY_UNARY_SCALAR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_VECTORIZE_APPLY_UNARY_SCALAR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;Eigen/Dense&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F, <span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary.html">   36</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html">apply_scalar_unary</a> {</div>
+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary.html#a047c1d2e14f8d0e8ada832eae7d89241">   40</a></span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> Eigen::internal::traits&lt;T&gt;::Scalar <a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html#a047c1d2e14f8d0e8ada832eae7d89241">scalar_t</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">typedef</span> Eigen::Matrix&lt;<a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html#a047c1d2e14f8d0e8ada832eae7d89241">scalar_t</a>, T::RowsAtCompileTime,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                            T::ColsAtCompileTime&gt;</div>
+<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">   48</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">return_t</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary.html#aaf401939bfd99ba649d517b4e63f3fb1">   58</a></span>&#160;      <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">return_t</a> <a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html#aaf401939bfd99ba649d517b4e63f3fb1">apply</a>(<span class="keyword">const</span> T&amp; x) {</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">return_t</a> result(x.rows(), x.cols());</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; x.cols(); ++j)</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; x.rows(); ++i)</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            result(i, j) = <a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html#aaf401939bfd99ba649d517b4e63f3fb1">apply_scalar_unary&lt;F, scalar_t&gt;::apply</a>(x(i, j));</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    };</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html">   74</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html">apply_scalar_unary</a>&lt;F, double&gt; {</div>
+<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a43606ccbf343a056c5f7c0c4779e80ab">   78</a></span>&#160;      <span class="keyword">typedef</span> <span class="keywordtype">double</span> <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a43606ccbf343a056c5f7c0c4779e80ab">return_t</a>;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a38488eadfcfeb1a9286fb87600519df1">   89</a></span>&#160;      <span class="keyword">static</span> <span class="keyword">inline</span> return_t <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a38488eadfcfeb1a9286fb87600519df1">apply</a>(<span class="keywordtype">double</span> x) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">return</span> F::fun(x);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    };</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00103"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html">  103</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html">apply_scalar_unary</a>&lt;F, int&gt; {</div>
+<div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#a893ad35b32c248a8fc19b70229f19aaa">  107</a></span>&#160;      <span class="keyword">typedef</span> <span class="keywordtype">double</span> <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#a893ad35b32c248a8fc19b70229f19aaa">return_t</a>;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00118"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#ab9f06ee57aeb0da1db44535e2e7c4916">  118</a></span>&#160;      <span class="keyword">static</span> <span class="keyword">inline</span> return_t <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#ab9f06ee57aeb0da1db44535e2e7c4916">apply</a>(<span class="keywordtype">int</span> x) {</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keywordflow">return</span> F::fun(static_cast&lt;double&gt;(x));</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      }</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    };</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F, <span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00133"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html">  133</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html">apply_scalar_unary</a>&lt;F, <a class="code" href="namespacestd.html">std</a>::vector&lt;T&gt; &gt; {</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> std::vector&lt;typename apply_scalar_unary&lt;F, T&gt;::return_t&gt;</div>
+<div class="line"><a name="l00139"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">  139</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">return_t</a>;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
+<div class="line"><a name="l00150"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a9e7c75f072d843703edb6f33de95c430">  150</a></span>&#160;      <span class="keyword">static</span> <span class="keyword">inline</span> <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">return_t</a> <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a9e7c75f072d843703edb6f33de95c430">apply</a>(<span class="keyword">const</span> std::vector&lt;T&gt;&amp; x) {</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">return_t</a> fx(x.size());</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; x.size(); ++i)</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;          fx[i] = <a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html">apply_scalar_unary&lt;F, T&gt;::apply</a>(x[i]);</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        <span class="keywordflow">return</span> fx;</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;      }</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    };</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;  }</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;}</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4_html_a38488eadfcfeb1a9286fb87600519df1"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a38488eadfcfeb1a9286fb87600519df1">stan::math::apply_scalar_unary&lt; F, double &gt;::apply</a></div><div class="ttdeci">static return_t apply(double x)</div><div class="ttdoc">Apply the function specified by F to the specified argument. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00089">apply_scalar_unary.hpp:89</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_html_a4778bff5359467ef3e6156d7556155ff"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">stan::math::apply_scalar_unary::return_t</a></div><div class="ttdeci">Eigen::Matrix&lt; scalar_t, T::RowsAtCompileTime, T::ColsAtCompileTime &gt; return_t</div><div class="ttdoc">Return type for applying the function elementwise to a matrix expression template of type T...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00048">apply_scalar_unary.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4_html_a9e7c75f072d843703edb6f33de95c430"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a9e7c75f072d843703edb6f33de95c430">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;::apply</a></div><div class="ttdeci">static return_t apply(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Apply the function specified by F elementwise to the specified argument. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00150">apply_scalar_unary.hpp:150</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4_html_ab9f06ee57aeb0da1db44535e2e7c4916"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#ab9f06ee57aeb0da1db44535e2e7c4916">stan::math::apply_scalar_unary&lt; F, int &gt;::apply</a></div><div class="ttdeci">static return_t apply(int x)</div><div class="ttdoc">Apply the function specified by F to the specified argument. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00118">apply_scalar_unary.hpp:118</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4_html_a43606ccbf343a056c5f7c0c4779e80ab"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a43606ccbf343a056c5f7c0c4779e80ab">stan::math::apply_scalar_unary&lt; F, double &gt;::return_t</a></div><div class="ttdeci">double return_t</div><div class="ttdoc">The return type, double. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00078">apply_scalar_unary.hpp:78</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4_html_a51bcc1e2ed403b77bc788db3183c50d6"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;::return_t</a></div><div class="ttdeci">std::vector&lt; typename apply_scalar_unary&lt; F, T &gt;::return_t &gt; return_t</div><div class="ttdoc">Return type, which is calculated recursively as a standard vector of the return type of the contained...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00139">apply_scalar_unary.hpp:139</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_html_a047c1d2e14f8d0e8ada832eae7d89241"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary.html#a047c1d2e14f8d0e8ada832eae7d89241">stan::math::apply_scalar_unary::scalar_t</a></div><div class="ttdeci">Eigen::internal::traits&lt; T &gt;::Scalar scalar_t</div><div class="ttdoc">Type of underlying scalar for the matrix type T. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00040">apply_scalar_unary.hpp:40</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_html"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a></div><div class="ttdoc">Base template class for vectorization of unary scalar functions defined by a template class F to a sc...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00036">apply_scalar_unary.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4_html_a893ad35b32c248a8fc19b70229f19aaa"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#a893ad35b32c248a8fc19b70229f19aaa">stan::math::apply_scalar_unary&lt; F, int &gt;::return_t</a></div><div class="ttdeci">double return_t</div><div class="ttdoc">The return type, double. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00107">apply_scalar_unary.hpp:107</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_html_aaf401939bfd99ba649d517b4e63f3fb1"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary.html#aaf401939bfd99ba649d517b4e63f3fb1">stan::math::apply_scalar_unary::apply</a></div><div class="ttdeci">static return_t apply(const T &amp;x)</div><div class="ttdoc">Return the result of applying the function defined by the template parameter F to the specified matri...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00058">apply_scalar_unary.hpp:58</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+  <div class="headertitle">
+<div class="title">mat.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="arr_2meta_2get_8hpp_source.html">stan/math/prim/arr/meta/get.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2index__type_8hpp_source.html">stan/math/prim/arr/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2is__vector_8hpp_source.html">stan/math/prim/arr/meta/is_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2length_8hpp_source.html">stan/math/prim/arr/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2container__view_8hpp_source.html">stan/math/prim/mat/meta/container_view.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2get_8hpp_source.html">stan/math/prim/mat/meta/get.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/mat/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2is__vector_8hpp_source.html">stan/math/prim/mat/meta/is_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/mat/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2length_8hpp_source.html">stan/math/prim/mat/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2length__mvt_8hpp_source.html">stan/math/prim/mat/meta/length_mvt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">stan/math/prim/mat/meta/seq_view.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2scalar__type_8hpp_source.html">stan/math/prim/mat/meta/scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2value__type_8hpp_source.html">stan/math/prim/mat/meta/value_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2_vector_view_8hpp_source.html">stan/math/prim/mat/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_view_mvt_8hpp_source.html">stan/math/prim/mat/meta/VectorViewMvt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__cholesky__factor_8hpp_source.html">stan/math/prim/mat/err/check_cholesky_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__cholesky__factor__corr_8hpp_source.html">stan/math/prim/mat/err/check_cholesky_factor_corr.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__column__index_8hpp_source.html">stan/math/prim/mat/err/check_column_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__corr__matrix_8hpp_source.html">stan/math/prim/mat/err/check_corr_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__cov__matrix_8hpp_source.html">stan/math/prim/mat/err/check_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__ldlt__factor_8hpp_source.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__lower__triangular_8hpp_source.html">stan/math/prim/mat/err/check_lower_triangular.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__dims_8hpp_source.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2err_2check__ordered_8hpp_source.html">stan/math/prim/mat/err/check_ordered.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__pos__definite_8hpp_source.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__pos__semidefinite_8hpp_source.html">stan/math/prim/mat/err/check_pos_semidefinite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__ordered_8hpp_source.html">stan/math/prim/mat/err/check_positive_ordered.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__range_8hpp_source.html">stan/math/prim/mat/err/check_range.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__row__index_8hpp_source.html">stan/math/prim/mat/err/check_row_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__simplex_8hpp_source.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__spsd__matrix_8hpp_source.html">stan/math/prim/mat/err/check_spsd_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__std__vector__index_8hpp_source.html">stan/math/prim/mat/err/check_std_vector_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__unit__vector_8hpp_source.html">stan/math/prim/mat/err/check_unit_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constraint__tolerance_8hpp_source.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="validate__non__negative__index_8hpp_source.html">stan/math/prim/mat/err/validate_non_negative_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="accumulator_8hpp_source.html">stan/math/prim/mat/fun/accumulator.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="add_8hpp_source.html">stan/math/prim/mat/fun/add.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="append__col_8hpp_source.html">stan/math/prim/mat/fun/append_col.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="append__row_8hpp_source.html">stan/math/prim/mat/fun/append_row.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="array__builder_8hpp_source.html">stan/math/prim/mat/fun/array_builder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="assign_8hpp_source.html">stan/math/prim/mat/fun/assign.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="autocorrelation_8hpp_source.html">stan/math/prim/mat/fun/autocorrelation.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="autocovariance_8hpp_source.html">stan/math/prim/mat/fun/autocovariance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="block_8hpp_source.html">stan/math/prim/mat/fun/block.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__corr__constrain_8hpp_source.html">stan/math/prim/mat/fun/cholesky_corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__corr__free_8hpp_source.html">stan/math/prim/mat/fun/cholesky_corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2cholesky__decompose_8hpp_source.html">stan/math/prim/mat/fun/cholesky_decompose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__factor__constrain_8hpp_source.html">stan/math/prim/mat/fun/cholesky_factor_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cholesky__factor__free_8hpp_source.html">stan/math/prim/mat/fun/cholesky_factor_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="col_8hpp_source.html">stan/math/prim/mat/fun/col.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cols_8hpp_source.html">stan/math/prim/mat/fun/cols.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2columns__dot__product_8hpp_source.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2columns__dot__self_8hpp_source.html">stan/math/prim/mat/fun/columns_dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="common__type_8hpp_source.html">stan/math/prim/mat/fun/common_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__matrix__constrain_8hpp_source.html">stan/math/prim/mat/fun/corr_matrix_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__matrix__free_8hpp_source.html">stan/math/prim/mat/fun/corr_matrix_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__constrain_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__constrain__lkj_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_constrain_lkj.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__free_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cov__matrix__free__lkj_8hpp_source.html">stan/math/prim/mat/fun/cov_matrix_free_lkj.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2crossprod_8hpp_source.html">stan/math/prim/mat/fun/crossprod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cumulative__sum_8hpp_source.html">stan/math/prim/mat/fun/cumulative_sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2determinant_8hpp_source.html">stan/math/prim/mat/fun/determinant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="diag__matrix_8hpp_source.html">stan/math/prim/mat/fun/diag_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="diag__post__multiply_8hpp_source.html">stan/math/prim/mat/fun/diag_post_multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="diag__pre__multiply_8hpp_source.html">stan/math/prim/mat/fun/diag_pre_multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="diagonal_8hpp_source.html">stan/math/prim/mat/fun/diagonal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="dims_8hpp_source.html">stan/math/prim/mat/fun/dims.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="distance_8hpp_source.html">stan/math/prim/mat/fun/distance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2divide_8hpp_source.html">stan/math/prim/mat/fun/divide.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__self_8hpp_source.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="eigenvalues__sym_8hpp_source.html">stan/math/prim/mat/fun/eigenvalues_sym.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="eigenvectors__sym_8hpp_source.html">stan/math/prim/mat/fun/eigenvectors_sym.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="elt__divide_8hpp_source.html">stan/math/prim/mat/fun/elt_divide.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="elt__multiply_8hpp_source.html">stan/math/prim/mat/fun/elt_multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2exp_8hpp_source.html">stan/math/prim/mat/fun/exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/factor_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="factor___u_8hpp_source.html">stan/math/prim/mat/fun/factor_U.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2fill_8hpp_source.html">stan/math/prim/mat/fun/fill.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="get__base1_8hpp_source.html">stan/math/prim/mat/fun/get_base1.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="get__base1__lhs_8hpp_source.html">stan/math/prim/mat/fun/get_base1_lhs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="get__lp_8hpp_source.html">stan/math/prim/mat/fun/get_lp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="head_8hpp_source.html">stan/math/prim/mat/fun/head.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="initialize_8hpp_source.html">stan/math/prim/mat/fun/initialize.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2inverse_8hpp_source.html">stan/math/prim/mat/fun/inverse.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inverse__spd_8hpp_source.html">stan/math/prim/mat/fun/inverse_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log_8hpp_source.html">stan/math/prim/mat/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant_8hpp_source.html">stan/math/prim/mat/fun/log_determinant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant__spd_8hpp_source.html">stan/math/prim/mat/fun/log_determinant_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__softmax_8hpp_source.html">stan/math/prim/mat/fun/log_softmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/mat/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="make__nu_8hpp_source.html">stan/math/prim/mat/fun/make_nu.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="max_8hpp_source.html">stan/math/prim/mat/fun/max.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__spd_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__tri_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_tri.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__right_8hpp_source.html">stan/math/prim/mat/fun/mdivide_right.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mdivide__right__ldlt_8hpp_source.html">stan/math/prim/mat/fun/mdivide_right_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mdivide__right__spd_8hpp_source.html">stan/math/prim/mat/fun/mdivide_right_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mdivide__right__tri_8hpp_source.html">stan/math/prim/mat/fun/mdivide_right_tri.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__right__tri__low_8hpp_source.html">stan/math/prim/mat/fun/mdivide_right_tri_low.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mean_8hpp_source.html">stan/math/prim/mat/fun/mean.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="min_8hpp_source.html">stan/math/prim/mat/fun/min.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="minus_8hpp_source.html">stan/math/prim/mat/fun/minus.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply_8hpp_source.html">stan/math/prim/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">stan/math/prim/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="num__elements_8hpp_source.html">stan/math/prim/mat/fun/num_elements.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__constrain_8hpp_source.html">stan/math/prim/mat/fun/ordered_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__free_8hpp_source.html">stan/math/prim/mat/fun/ordered_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__ordered__constrain_8hpp_source.html">stan/math/prim/mat/fun/positive_ordered_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__ordered__free_8hpp_source.html">stan/math/prim/mat/fun/positive_ordered_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prod_8hpp_source.html">stan/math/prim/mat/fun/prod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="promote__common_8hpp_source.html">stan/math/prim/mat/fun/promote_common.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">stan/math/prim/mat/fun/promote_scalar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">stan/math/prim/mat/fun/promote_scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="promoter_8hpp_source.html">stan/math/prim/mat/fun/promoter.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2qr___q_8hpp_source.html">stan/math/prim/mat/fun/qr_Q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2qr___r_8hpp_source.html">stan/math/prim/mat/fun/qr_R.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2quad__form_8hpp_source.html">stan/math/prim/mat/fun/quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="quad__form__diag_8hpp_source.html">stan/math/prim/mat/fun/quad_form_diag.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2quad__form__sym_8hpp_source.html">stan/math/prim/mat/fun/quad_form_sym.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rank_8hpp_source.html">stan/math/prim/mat/fun/rank.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr___l_8hpp_source.html">stan/math/prim/mat/fun/read_corr_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_corr_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__cov___l_8hpp_source.html">stan/math/prim/mat/fun/read_cov_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__cov__matrix_8hpp_source.html">stan/math/prim/mat/fun/read_cov_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rep__matrix_8hpp_source.html">stan/math/prim/mat/fun/rep_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rep__row__vector_8hpp_source.html">stan/math/prim/mat/fun/rep_row_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rep__vector_8hpp_source.html">stan/math/prim/mat/fun/rep_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="resize_8hpp_source.html">stan/math/prim/mat/fun/resize.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="row_8hpp_source.html">stan/math/prim/mat/fun/row.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rows_8hpp_source.html">stan/math/prim/mat/fun/rows.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2rows__dot__product_8hpp_source.html">stan/math/prim/mat/fun/rows_dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2rows__dot__self_8hpp_source.html">stan/math/prim/mat/fun/rows_dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sd_8hpp_source.html">stan/math/prim/mat/fun/sd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="segment_8hpp_source.html">stan/math/prim/mat/fun/segment.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="simplex__constrain_8hpp_source.html">stan/math/prim/mat/fun/simplex_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="simplex__free_8hpp_source.html">stan/math/prim/mat/fun/simplex_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="singular__values_8hpp_source.html">stan/math/prim/mat/fun/singular_values.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="size_8hpp_source.html">stan/math/prim/mat/fun/size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2softmax_8hpp_source.html">stan/math/prim/mat/fun/softmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sort_8hpp_source.html">stan/math/prim/mat/fun/sort.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sort__indices_8hpp_source.html">stan/math/prim/mat/fun/sort_indices.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sort__indices__asc_8hpp_source.html">stan/math/prim/mat/fun/sort_indices_asc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sort__indices__desc_8hpp_source.html">stan/math/prim/mat/fun/sort_indices_desc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="csr__extract__w_8hpp_source.html">stan/math/prim/mat/fun/csr_extract_w.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="csr__extract__v_8hpp_source.html">stan/math/prim/mat/fun/csr_extract_v.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="csr__extract__u_8hpp_source.html">stan/math/prim/mat/fun/csr_extract_u.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="csr__matrix__times__vector_8hpp_source.html">stan/math/prim/mat/fun/csr_matrix_times_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="csr__to__dense__matrix_8hpp_source.html">stan/math/prim/mat/fun/csr_to_dense_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="csr__u__to__z_8hpp_source.html">stan/math/prim/mat/fun/csr_u_to_z.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2squared__distance_8hpp_source.html">stan/math/prim/mat/fun/squared_distance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2stan__print_8hpp_source.html">stan/math/prim/mat/fun/stan_print.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sub__col_8hpp_source.html">stan/math/prim/mat/fun/sub_col.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sub__row_8hpp_source.html">stan/math/prim/mat/fun/sub_row.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="subtract_8hpp_source.html">stan/math/prim/mat/fun/subtract.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="tail_8hpp_source.html">stan/math/prim/mat/fun/tail.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2tcrossprod_8hpp_source.html">stan/math/prim/mat/fun/tcrossprod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="to__array__1d_8hpp_source.html">stan/math/prim/mat/fun/to_array_1d.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="to__array__2d_8hpp_source.html">stan/math/prim/mat/fun/to_array_2d.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="to__matrix_8hpp_source.html">stan/math/prim/mat/fun/to_matrix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="to__row__vector_8hpp_source.html">stan/math/prim/mat/fun/to_row_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="to__vector_8hpp_source.html">stan/math/prim/mat/fun/to_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="trace_8hpp_source.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp_source.html">stan/math/prim/mat/fun/trace_gen_inv_quad_form_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">stan/math/prim/mat/fun/trace_gen_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">stan/math/prim/mat/fun/trace_inv_quad_form_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__quad__form_8hpp_source.html">stan/math/prim/mat/fun/trace_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="transpose_8hpp_source.html">stan/math/prim/mat/fun/transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2unit__vector__constrain_8hpp_source.html">stan/math/prim/mat/fun/unit_vector_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="unit__vector__free_8hpp_source.html">stan/math/prim/mat/fun/unit_vector_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2value__of_8hpp_source.html">stan/math/prim/mat/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2value__of__rec_8hpp_source.html">stan/math/prim/mat/fun/value_of_rec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2variance_8hpp_source.html">stan/math/prim/mat/fun/variance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="welford__covar__estimator_8hpp_source.html">stan/math/prim/mat/fun/welford_covar_estimator.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="welford__var__estimator_8hpp_source.html">stan/math/prim/mat/fun/welford_var_estimator.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="finite__diff__gradient_8hpp_source.html">stan/math/prim/mat/functor/finite_diff_gradient.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="finite__diff__hessian_8hpp_source.html">stan/math/prim/mat/functor/finite_diff_hessian.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="categorical__log_8hpp_source.html">stan/math/prim/mat/prob/categorical_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="categorical__logit__log_8hpp_source.html">stan/math/prim/mat/prob/categorical_logit_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="categorical__rng_8hpp_source.html">stan/math/prim/mat/prob/categorical_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="dirichlet__log_8hpp_source.html">stan/math/prim/mat/prob/dirichlet_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="dirichlet__rng_8hpp_source.html">stan/math/prim/mat/prob/dirichlet_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gaussian__dlm__obs__log_8hpp_source.html">stan/math/prim/mat/prob/gaussian_dlm_obs_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__wishart__log_8hpp_source.html">stan/math/prim/mat/prob/inv_wishart_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__wishart__rng_8hpp_source.html">stan/math/prim/mat/prob/inv_wishart_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lkj__corr__cholesky__log_8hpp_source.html">stan/math/prim/mat/prob/lkj_corr_cholesky_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lkj__corr__cholesky__rng_8hpp_source.html">stan/math/prim/mat/prob/lkj_corr_cholesky_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lkj__corr__log_8hpp_source.html">stan/math/prim/mat/prob/lkj_corr_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lkj__corr__rng_8hpp_source.html">stan/math/prim/mat/prob/lkj_corr_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lkj__cov__log_8hpp_source.html">stan/math/prim/mat/prob/lkj_cov_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="matrix__normal__prec__log_8hpp_source.html">stan/math/prim/mat/prob/matrix_normal_prec_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multi__gp__cholesky__log_8hpp_source.html">stan/math/prim/mat/prob/multi_gp_cholesky_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multi__gp__log_8hpp_source.html">stan/math/prim/mat/prob/multi_gp_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multi__normal__cholesky__log_8hpp_source.html">stan/math/prim/mat/prob/multi_normal_cholesky_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multi__normal__cholesky__rng_8hpp_source.html">stan/math/prim/mat/prob/multi_normal_cholesky_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multi__normal__log_8hpp_source.html">stan/math/prim/mat/prob/multi_normal_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multi__normal__prec__log_8hpp_source.html">stan/math/prim/mat/prob/multi_normal_prec_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multi__normal__rng_8hpp_source.html">stan/math/prim/mat/prob/multi_normal_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multi__student__t__log_8hpp_source.html">stan/math/prim/mat/prob/multi_student_t_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multi__student__t__rng_8hpp_source.html">stan/math/prim/mat/prob/multi_student_t_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multinomial__log_8hpp_source.html">stan/math/prim/mat/prob/multinomial_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="multinomial__rng_8hpp_source.html">stan/math/prim/mat/prob/multinomial_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__logistic__log_8hpp_source.html">stan/math/prim/mat/prob/ordered_logistic_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ordered__logistic__rng_8hpp_source.html">stan/math/prim/mat/prob/ordered_logistic_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="wishart__log_8hpp_source.html">stan/math/prim/mat/prob/wishart_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="wishart__rng_8hpp_source.html">stan/math/prim/mat/prob/wishart_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_8hpp_source.html">stan/math/prim/arr.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2mat_8hpp_source.html">Go to the source code of this file.</a></p>
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+<a href="prim_2mat_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2meta_2get_8hpp.html">stan/math/prim/arr/meta/get.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2meta_2index__type_8hpp.html">stan/math/prim/arr/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2meta_2is__vector_8hpp.html">stan/math/prim/arr/meta/is_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2meta_2length_8hpp.html">stan/math/prim/arr/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2container__view_8hpp.html">stan/math/prim/mat/meta/container_view.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2get_8hpp.html">stan/math/prim/mat/meta/get.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2is__constant__struct_8hpp.html">stan/math/prim/mat/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2is__vector_8hpp.html">stan/math/prim/mat/meta/is_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2is__vector__like_8hpp.html">stan/math/prim/mat/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2length_8hpp.html">stan/math/prim/mat/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2length__mvt_8hpp.html">stan/math/prim/mat/meta/length_mvt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="seq__view_8hpp.html">stan/math/prim/mat/meta/seq_view.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2scalar__type_8hpp.html">stan/math/prim/mat/meta/scalar_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2value__type_8hpp.html">stan/math/prim/mat/meta/value_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2_vector_view_8hpp.html">stan/math/prim/mat/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_view_mvt_8hpp.html">stan/math/prim/mat/meta/VectorViewMvt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__cholesky__factor_8hpp.html">stan/math/prim/mat/err/check_cholesky_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__cholesky__factor__corr_8hpp.html">stan/math/prim/mat/err/check_cholesky_factor_corr.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__column__index_8hpp.html">stan/math/prim/mat/err/check_column_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__corr__matrix_8hpp.html">stan/math/prim/mat/err/check_corr_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__cov__matrix_8hpp.html">stan/math/prim/mat/err/check_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__lower__triangular_8hpp.html">stan/math/prim/mat/err/check_lower_triangular.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__dims_8hpp.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__sizes_8hpp.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2err_2check__ordered_8hpp.html">stan/math/prim/mat/err/check_ordered.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__pos__definite_8hpp.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__pos__semidefinite_8hpp.html">stan/math/prim/mat/err/check_pos_semidefinite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__ordered_8hpp.html">stan/math/prim/mat/err/check_positive_ordered.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__range_8hpp.html">stan/math/prim/mat/err/check_range.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__row__index_8hpp.html">stan/math/prim/mat/err/check_row_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__simplex_8hpp.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__spsd__matrix_8hpp.html">stan/math/prim/mat/err/check_spsd_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__std__vector__index_8hpp.html">stan/math/prim/mat/err/check_std_vector_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__unit__vector_8hpp.html">stan/math/prim/mat/err/check_unit_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__vector_8hpp.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constraint__tolerance_8hpp.html">stan/math/prim/mat/err/constraint_tolerance.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="validate__non__negative__index_8hpp.html">stan/math/prim/mat/err/validate_non_negative_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="accumulator_8hpp.html">stan/math/prim/mat/fun/accumulator.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="add_8hpp.html">stan/math/prim/mat/fun/add.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="append__col_8hpp.html">stan/math/prim/mat/fun/append_col.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="append__row_8hpp.html">stan/math/prim/mat/fun/append_row.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="array__builder_8hpp.html">stan/math/prim/mat/fun/array_builder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="assign_8hpp.html">stan/math/prim/mat/fun/assign.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="autocorrelation_8hpp.html">stan/math/prim/mat/fun/autocorrelation.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="autocovariance_8hpp.html">stan/math/prim/mat/fun/autocovariance.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="block_8hpp.html">stan/math/prim/mat/fun/block.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__corr__constrain_8hpp.html">stan/math/prim/mat/fun/cholesky_corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__corr__free_8hpp.html">stan/math/prim/mat/fun/cholesky_corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2cholesky__decompose_8hpp.html">stan/math/prim/mat/fun/cholesky_decompose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__factor__constrain_8hpp.html">stan/math/prim/mat/fun/cholesky_factor_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cholesky__factor__free_8hpp.html">stan/math/prim/mat/fun/cholesky_factor_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="col_8hpp.html">stan/math/prim/mat/fun/col.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cols_8hpp.html">stan/math/prim/mat/fun/cols.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2columns__dot__product_8hpp.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2columns__dot__self_8hpp.html">stan/math/prim/mat/fun/columns_dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="common__type_8hpp.html">stan/math/prim/mat/fun/common_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__matrix__constrain_8hpp.html">stan/math/prim/mat/fun/corr_matrix_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__matrix__free_8hpp.html">stan/math/prim/mat/fun/corr_matrix_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__constrain_8hpp.html">stan/math/prim/mat/fun/cov_matrix_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cov__matrix__constrain__lkj_8hpp.html">stan/math/prim/mat/fun/cov_matrix_constrain_lkj.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="diag__pre__multiply_8hpp.html">stan/math/prim/mat/fun/diag_pre_multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="diagonal_8hpp.html">stan/math/prim/mat/fun/diagonal.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__self_8hpp.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="eigenvectors__sym_8hpp.html">stan/math/prim/mat/fun/eigenvectors_sym.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="elt__divide_8hpp.html">stan/math/prim/mat/fun/elt_divide.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="elt__multiply_8hpp.html">stan/math/prim/mat/fun/elt_multiply.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="factor__cov__matrix_8hpp.html">stan/math/prim/mat/fun/factor_cov_matrix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="factor___u_8hpp.html">stan/math/prim/mat/fun/factor_U.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="get__base1_8hpp.html">stan/math/prim/mat/fun/get_base1.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="get__base1__lhs_8hpp.html">stan/math/prim/mat/fun/get_base1_lhs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="get__lp_8hpp.html">stan/math/prim/mat/fun/get_lp.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant__spd_8hpp.html">stan/math/prim/mat/fun/log_determinant_spd.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__softmax_8hpp.html">stan/math/prim/mat/fun/log_softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__sum__exp_8hpp.html">stan/math/prim/mat/fun/log_sum_exp.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__tri_8hpp.html">stan/math/prim/mat/fun/mdivide_left_tri.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mdivide__right__ldlt_8hpp.html">stan/math/prim/mat/fun/mdivide_right_ldlt.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2qr___r_8hpp.html">stan/math/prim/mat/fun/qr_R.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2quad__form_8hpp.html">stan/math/prim/mat/fun/quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="quad__form__diag_8hpp.html">stan/math/prim/mat/fun/quad_form_diag.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rank_8hpp.html">stan/math/prim/mat/fun/rank.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rep__matrix_8hpp.html">stan/math/prim/mat/fun/rep_matrix.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2sd_8hpp.html">stan/math/prim/mat/fun/sd.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="singular__values_8hpp.html">stan/math/prim/mat/fun/singular_values.hpp</a>&gt;</span></div>
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+<div class="ttc" id="cov__matrix__free__lkj_8hpp_html"><div class="ttname"><a href="cov__matrix__free__lkj_8hpp.html">cov_matrix_free_lkj.hpp</a></div></div>
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+<div class="ttc" id="num__elements_8hpp_html"><div class="ttname"><a href="num__elements_8hpp.html">num_elements.hpp</a></div></div>
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+<a href="prim_2scal_2fun_2_phi_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_PHI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_PHI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/erf.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T&gt;::type</div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac85644bbd92359d699f374adea62c643">   31</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ac73a2c7f20161172ffee17c7c880019f">Phi</a>(<span class="keyword">const</span> T x) {</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">if</span> (x &lt; -37.5)</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa283efca22c0544054a6534443e6e762"><div class="ttname"><a href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math::erf</a></div><div class="ttdeci">fvar&lt; T &gt; erf(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erf_8hpp_source.html#l00014">erf.hpp:14</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ac73a2c7f20161172ffee17c7c880019f"><div class="ttname"><a href="namespacestan_1_1math.html#ac73a2c7f20161172ffee17c7c880019f">stan::math::Phi</a></div><div class="ttdeci">fvar&lt; T &gt; Phi(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2_phi_8hpp_source.html#l00014">Phi.hpp:14</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab4c763e4f09069eed96a4e96e33ea8ea"><div class="ttname"><a href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">stan::math::erfc</a></div><div class="ttdeci">fvar&lt; T &gt; erfc(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erfc_8hpp_source.html#l00014">erfc.hpp:14</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+</div>
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+<tr class="memitem:a6cf4bf2074175fd7bcde43f9f94e4d16"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6cf4bf2074175fd7bcde43f9f94e4d16"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6cf4bf2074175fd7bcde43f9f94e4d16">stan::math::Phi_approx</a> (T x)</td></tr>
+<tr class="memdesc:a6cf4bf2074175fd7bcde43f9f94e4d16"><td class="mdescLeft">&#160;</td><td class="mdescRight">Approximation of the unit normal CDF.  <a href="namespacestan_1_1math.html#a6cf4bf2074175fd7bcde43f9f94e4d16">More...</a><br /></td></tr>
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+<a href="prim_2scal_2fun_2_phi__approx_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_PHI_APPROX_HPP</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a76a22ee34432be58edb4b6ed9469370a"><div class="ttname"><a href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a></div><div class="ttdeci">fvar&lt; T &gt; inv_logit(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv__logit_8hpp_source.html#l00015">inv_logit.hpp:15</a></div></div>
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+<div class="textblock"><code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:aeb4764556637084eee528b45d8eaa767"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aeb4764556637084eee528b45d8eaa767">stan::math::abs</a> (double x)</td></tr>
+<tr class="memdesc:aeb4764556637084eee528b45d8eaa767"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return floating-point absolute value.  <a href="namespacestan_1_1math.html#aeb4764556637084eee528b45d8eaa767">More...</a><br /></td></tr>
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+<a href="prim_2scal_2fun_2abs_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_ABS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_ABS_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aeb4764556637084eee528b45d8eaa767">   19</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#ae560b842e3ed6e5939dc2177bf158265">abs</a>(<span class="keywordtype">double</span> x) {</div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a3ec93b560b654740be65de81d6f348cc"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/bessel.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:aebfb3835848bd8550192cd5e090d3b5a"><td class="memTemplParams" colspan="2">template&lt;typename T2 &gt; </td></tr>
+<tr class="memitem:aebfb3835848bd8550192cd5e090d3b5a"><td class="memTemplItemLeft" align="right" valign="top">T2&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aebfb3835848bd8550192cd5e090d3b5a">stan::math::bessel_first_kind</a> (const int v, const T2 z)</td></tr>
+<tr class="memdesc:aebfb3835848bd8550192cd5e090d3b5a"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{bessel\_first\_kind}(v, x) = \begin{cases} J_v(x) &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{error} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_26.png"/>
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+<a href="prim_2scal_2fun_2bessel__first__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_BESSEL_FIRST_KIND_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_BESSEL_FIRST_KIND_HPP</span></div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
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+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/bessel.hpp&gt;</code><br />
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+<tr class="memdesc:a645ce13c6454913ec39be807751604dc"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{bessel\_second\_kind}(v, x) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0 \\ Y_v(x) &amp; \mbox{if } x > 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_30.png"/>
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+<div class="title">bessel_second_kind.hpp</div>  </div>
+</div><!--header-->
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+<a href="prim_2scal_2fun_2bessel__second__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_BESSEL_SECOND_KIND_HPP</span></div>
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+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2binary__log__loss_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:add2a043f562537b8cc57bb35780ac5b5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:add2a043f562537b8cc57bb35780ac5b5"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#add2a043f562537b8cc57bb35780ac5b5">stan::math::binary_log_loss</a> (const int y, const T y_hat)</td></tr>
+<tr class="memdesc:add2a043f562537b8cc57bb35780ac5b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log loss function for binary classification with specified reference and response values.  <a href="namespacestan_1_1math.html#add2a043f562537b8cc57bb35780ac5b5">More...</a><br /></td></tr>
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+<div class="contents">
+<a href="prim_2scal_2fun_2binary__log__loss_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_BINARY_LOG_LOSS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_BINARY_LOG_LOSS_HPP</span></div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T&gt;::type</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#add2a043f562537b8cc57bb35780ac5b5">   26</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae0d069b5730083b0203812d63c6f62f3">binary_log_loss</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> y, <span class="keyword">const</span> T y_hat) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keywordflow">return</span> -<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y ? y_hat : (1.0 - y_hat));</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;}</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae0d069b5730083b0203812d63c6f62f3"><div class="ttname"><a href="namespacestan_1_1math.html#ae0d069b5730083b0203812d63c6f62f3">stan::math::binary_log_loss</a></div><div class="ttdeci">fvar&lt; T &gt; binary_log_loss(const int y, const fvar&lt; T &gt; &amp;y_hat)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2binary__log__loss_8hpp_source.html#l00015">binary_log_loss.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_d0eeba40b2c7a8671625898b9437b305.html">fun</a></li>  </ul>
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+<div class="title">binomial_coefficient_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a27dad23d38c6d5e74c65e7571c70272e"><td class="memTemplParams" colspan="2">template&lt;typename T_N , typename T_n &gt; </td></tr>
+<tr class="memitem:a27dad23d38c6d5e74c65e7571c70272e"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_N, T_n &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a27dad23d38c6d5e74c65e7571c70272e">stan::math::binomial_coefficient_log</a> (const T_N N, const T_n n)</td></tr>
+<tr class="memdesc:a27dad23d38c6d5e74c65e7571c70272e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of the binomial coefficient for the specified arguments.  <a href="namespacestan_1_1math.html#a27dad23d38c6d5e74c65e7571c70272e">More...</a><br /></td></tr>
+<tr class="separator:a27dad23d38c6d5e74c65e7571c70272e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+</div>
diff --git a/doc/api/html/prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html b/doc/api/html/prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<div class="title">binomial_coefficient_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_BINOMIAL_COEFFICIENT_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_BINOMIAL_COEFFICIENT_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_N, <span class="keyword">typename</span> T_n&gt;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_N, T_n&gt;::type</div>
+<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a27dad23d38c6d5e74c65e7571c70272e">   62</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab3ae920ef2089bb1686eb51c3dc153b4">binomial_coefficient_log</a>(<span class="keyword">const</span> T_N N, <span class="keyword">const</span> T_n n) {</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">boost::math::lgamma</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> CUTOFF = 1000;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">if</span> (N - n &lt; CUTOFF) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        T_N N_plus_1 = N + 1;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(N_plus_1) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(n + 1) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(N_plus_1 - n);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_N, T_n&gt;::type N_minus_n</div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2digamma_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:a5eb54ce92709046c6d168e851d2481c7"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{digamma}(x) = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \Psi(x) &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_54.png"/>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5eb54ce92709046c6d168e851d2481c7">   39</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(<span class="keywordtype">double</span> x) {</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a366ba0d22b63d45054e4a022e4ffa994"><div class="ttname"><a href="namespacestan_1_1math.html#a366ba0d22b63d45054e4a022e4ffa994">stan::math::digamma</a></div><div class="ttdeci">var digamma(const stan::math::var &amp;a)</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2digamma_8hpp_source.html#l00024">digamma.hpp:24</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;cstddef&gt;</code><br />
+<code>#include &lt;cstdlib&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2divide_8hpp_source.html">Go to the source code of this file.</a></p>
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a685d66ce770eb99e2f3a89624629aa7e"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a685d66ce770eb99e2f3a89624629aa7e"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a685d66ce770eb99e2f3a89624629aa7e">stan::math::divide</a> (const T1 &amp;x, const T2 &amp;y)</td></tr>
+<tr class="memdesc:a685d66ce770eb99e2f3a89624629aa7e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the division of the first scalar by the second scalar.  <a href="namespacestan_1_1math.html#a685d66ce770eb99e2f3a89624629aa7e">More...</a><br /></td></tr>
+<tr class="separator:a685d66ce770eb99e2f3a89624629aa7e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aaf04cebee51d38a543e0ec689ae1399c"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aaf04cebee51d38a543e0ec689ae1399c">stan::math::divide</a> (const int x, const int y)</td></tr>
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+<a href="prim_2scal_2fun_2divide_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_DIVIDE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_DIVIDE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;cstddef&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cstdlib&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type&lt;T1, T2&gt;::type</a></div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a685d66ce770eb99e2f3a89624629aa7e">   20</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab1f35909d12ac43b74d180a49d68b674">divide</a>(<span class="keyword">const</span> T1&amp; x, <span class="keyword">const</span> T2&amp; y) {</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aaf04cebee51d38a543e0ec689ae1399c">   24</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#ab1f35909d12ac43b74d180a49d68b674">divide</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> x, <span class="keyword">const</span> <span class="keywordtype">int</span> y) {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keywordflow">return</span> std::div(x, y).quot;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    }</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;}</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1f35909d12ac43b74d180a49d68b674"><div class="ttname"><a href="namespacestan_1_1math.html#ab1f35909d12ac43b74d180a49d68b674">stan::math::divide</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; divide(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;v, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2divide_8hpp_source.html#l00016">divide.hpp:16</a></div></div>
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+<tr class="memdesc:a0ef734d7c3b8ebd689012295bf826e94"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the exponent base 2 of the specified argument (C99).  <a href="namespacestan_1_1math.html#a0ef734d7c3b8ebd689012295bf826e94">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__falling__factorial_8hpp_source.html">stan/math/prim/scal/fun/log_falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ad65933117ab43cb486fb65023d8e5f3c"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:ad65933117ab43cb486fb65023d8e5f3c"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad65933117ab43cb486fb65023d8e5f3c">stan::math::falling_factorial</a> (const T1 x, const T2 n)</td></tr>
+<tr class="memdesc:ad65933117ab43cb486fb65023d8e5f3c"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{falling\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ (x)_n &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_58.png"/>
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+<div class="title">falling_factorial.hpp</div>  </div>
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+<a href="prim_2scal_2fun_2falling__factorial_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_FALLING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_FALLING_FACTORIAL_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__falling__factorial_8hpp.html">stan/math/prim/scal/fun/log_falling_factorial.hpp</a>&gt;</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aae3974a012285e3d020d46cc454812ed"><div class="ttname"><a href="namespacestan_1_1math.html#aae3974a012285e3d020d46cc454812ed">stan::math::falling_factorial</a></div><div class="ttdeci">fvar&lt; T &gt; falling_factorial(const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2falling__factorial_8hpp_source.html#l00015">falling_factorial.hpp:15</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__falling__factorial_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__falling__factorial_8hpp.html">log_falling_factorial.hpp</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2fdim_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:a7d2db622c0f83134b7f3ebd1eec3c1d6"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a7d2db622c0f83134b7f3ebd1eec3c1d6"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7d2db622c0f83134b7f3ebd1eec3c1d6">stan::math::fdim</a> (T1 a, T2 b)</td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_FDIM_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;  }</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;}</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a9ec9f6ad1870e35178068fd12a0d04ea"><div class="ttname"><a href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a></div><div class="ttdeci">bool isnan(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is NaN. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isnan_8hpp_source.html#l00022">boost_isnan.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a535e91c206d8cfd9e61042c25108f23a"><div class="ttname"><a href="namespacestan_1_1math.html#a535e91c206d8cfd9e61042c25108f23a">stan::math::fdim</a></div><div class="ttdeci">fvar&lt; T &gt; fdim(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fdim_8hpp_source.html#l00011">fdim.hpp:11</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a014a74412301cf66626baa1fe1491d94"><div class="ttname"><a href="namespacestan_1_1math.html#a014a74412301cf66626baa1fe1491d94">stan::math::fdim</a></div><div class="ttdeci">var fdim(const stan::math::var &amp;a, const double &amp;b)</div><div class="ttdoc">Return the positive difference between the first variable&#39;s value and the second value (C99)...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2fdim_8hpp_source.html#l00158">fdim.hpp:158</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2gamma__p_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:aed411d626d4ae01a76584c454a83673f"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aed411d626d4ae01a76584c454a83673f">stan::math::gamma_p</a> (double x, double a)</td></tr>
+<tr class="memdesc:aed411d626d4ae01a76584c454a83673f"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{gamma\_p}(a, z) = \begin{cases} \textrm{error} &amp; \mbox{if } a\leq 0 \textrm{ or } z < 0\\ P(a, z) &amp; \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]" src="form_64.png"/>
+</p>
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+<a href="prim_2scal_2fun_2gamma__p_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_GAMMA_P_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_GAMMA_P_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa3db0274d59a42798f93e66d0d411dd8"><div class="ttname"><a href="namespacestan_1_1math.html#aa3db0274d59a42798f93e66d0d411dd8">stan::math::gamma_p</a></div><div class="ttdeci">var gamma_p(const double &amp;a, const stan::math::var &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2gamma__p_8hpp_source.html#l00114">gamma_p.hpp:114</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
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+<tr class="memdesc:a0830ba049b81bc98ea9fbcf1eb7b4bd6"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{gamma\_q}(a, z) = \begin{cases} \textrm{error} &amp; \mbox{if } a\leq 0 \textrm{ or } z < 0\\ Q(a, z) &amp; \mbox{if } a > 0, z \geq 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } a = \textrm{NaN or } z = \textrm{NaN} \end{cases} \]" src="form_70.png"/>
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+<a href="prim_2scal_2fun_2gamma__q_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_GAMMA_Q_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_GAMMA_Q_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="comment">// throws domain_error if x is at pole</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0830ba049b81bc98ea9fbcf1eb7b4bd6">   53</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(<span class="keywordtype">double</span> x, <span class="keywordtype">double</span> a) {</div>
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+<div class="ttc" id="namespacestan_1_1math_html_acb9a338d5f5fd18bddf0e8225f6cc27d"><div class="ttname"><a href="namespacestan_1_1math.html#acb9a338d5f5fd18bddf0e8225f6cc27d">stan::math::gamma_q</a></div><div class="ttdeci">var gamma_q(const double &amp;a, const stan::math::var &amp;b)</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2gamma__q_8hpp_source.html#l00068">gamma_q.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a743267027c96ebef239be63589a6d594"><div class="ttname"><a href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_q(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__q_8hpp_source.html#l00015">gamma_q.hpp:15</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__2_f1_8hpp_source.html">stan/math/prim/scal/fun/grad_2F1.hpp</a>&gt;</code><br />
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+<div class="title">grad_inc_beta.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="prim_2scal_2fun_2grad__inc__beta_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_GRAD_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_GRAD_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__2_f1_8hpp.html">stan/math/prim/scal/fun/grad_2F1.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="comment">// Gradient of the incomplete beta function beta(a, b, z)</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="comment">// with respect to the first two arguments, using the</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="comment">// equivalence to a hypergeometric function.</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="comment">// See http://dlmf.nist.gov/8.17#ii</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a33cb272bd839945c13d7b41058c35c51">   17</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#a8fb6dcbe4585fc38ff9374aa5164582f">grad_inc_beta</a>(<span class="keywordtype">double</span>&amp; g1, <span class="keywordtype">double</span>&amp; g2, <span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b, <span class="keywordtype">double</span> z) {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a43226a00b6c2d3f3a2ab5906490f3136">stan::math::grad_2F1</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keywordtype">double</span> c1 = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(z);</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keywordtype">double</span> c2 = <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(z);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keywordtype">double</span> c3 = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(a, b)) * <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(a, b, z);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keywordtype">double</span> C = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(a * c1 + b * c2) / a;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keywordtype">double</span> dF1 = 0;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keywordtype">double</span> dF2 = 0;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keywordflow">if</span> (C) <a class="code" href="namespacestan_1_1math.html#a43226a00b6c2d3f3a2ab5906490f3136">grad_2F1</a>(dF1, dF2, a + b, 1.0, a + 1, z);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      g1 = (c1 - 1.0 / a) * c3 + C * (dF1 + dF2);</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    }</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;  }</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;}</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ac51be9d210e223a8aa4241e2d725e295"><div class="ttname"><a href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a></div><div class="ttdeci">fvar&lt; T &gt; lbeta(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">lbeta.hpp:16</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="grad__2_f1_8hpp_html"><div class="ttname"><a href="grad__2_f1_8hpp.html">grad_2F1.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/beta.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
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+<tr class="memdesc:af7b430ac57e75ba2d55843cd868506e1"><td class="mdescLeft">&#160;</td><td class="mdescRight">The normalized incomplete beta function of a, b, and x.  <a href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">More...</a><br /></td></tr>
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+<a href="prim_2scal_2fun_2ibeta_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_IBETA_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2if__else_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
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+<tr class="memitem:a65e2d3e3ab44f347f3ebaacb67845015"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_true, T_false &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a65e2d3e3ab44f347f3ebaacb67845015">stan::math::if_else</a> (const bool c, const T_true y_true, const T_false y_false)</td></tr>
+<tr class="memdesc:a65e2d3e3ab44f347f3ebaacb67845015"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the second argument if the first argument is true and otherwise return the second argument.  <a href="namespacestan_1_1math.html#a65e2d3e3ab44f347f3ebaacb67845015">More...</a><br /></td></tr>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_true, <span class="keyword">typename</span> T_false&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_true, T_false&gt;::type</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  }</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a65e2d3e3ab44f347f3ebaacb67845015"><div class="ttname"><a href="namespacestan_1_1math.html#a65e2d3e3ab44f347f3ebaacb67845015">stan::math::if_else</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T_true, T_false &gt;::type if_else(const bool c, const T_true y_true, const T_false y_false)</div><div class="ttdoc">Return the second argument if the first argument is true and otherwise return the second argument...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2fun_2if__else_8hpp_source.html#l00025">if_else.hpp:25</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:ab64935e0bdac8227bfd9608285d4e699"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ab64935e0bdac8227bfd9608285d4e699"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab64935e0bdac8227bfd9608285d4e699">stan::math::inv</a> (const T x)</td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2_phi_8hpp_source.html">stan/math/prim/scal/fun/Phi.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2inv___phi_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a24ce9274d4f9c0ebe500fbe3a0ac4560"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a24ce9274d4f9c0ebe500fbe3a0ac4560">stan::math::inv_Phi</a> (double p)</td></tr>
+<tr class="memdesc:a24ce9274d4f9c0ebe500fbe3a0ac4560"><td class="mdescLeft">&#160;</td><td class="mdescRight">The inverse of the unit normal cumulative distribution function.  <a href="namespacestan_1_1math.html#a24ce9274d4f9c0ebe500fbe3a0ac4560">More...</a><br /></td></tr>
+<tr class="separator:a24ce9274d4f9c0ebe500fbe3a0ac4560"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="prim_2scal_2fun_2inv___phi_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_INV_PHI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_INV_PHI_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2_phi_8hpp.html">stan/math/prim/scal/fun/Phi.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a24ce9274d4f9c0ebe500fbe3a0ac4560">   26</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a91bcae4b6bdf262f91673bf7b15fea99">inv_Phi</a>(<span class="keywordtype">double</span> p) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      stan::math::check_bounded&lt;double, double, double&gt;(<span class="stringliteral">&quot;inv_Phi&quot;</span>,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                                        <span class="stringliteral">&quot;Probability variable&quot;</span>, p, 0, 1);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keywordflow">if</span> (p &lt; 8<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-311)</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aa37d0f67f02e0a0b5797ed9f4df56bfb">NEGATIVE_INFTY</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keywordflow">if</span> (p == 1)</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a7f2ac8ebf3095e9934715bb34f0669b3">INFTY</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> a[6] = {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        -3.969683028665376e+01,  2.209460984245205e+02,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        -2.759285104469687e+02,  1.383577518672690e+02,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        -3.066479806614716e+01,  2.506628277459239e+00</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      };</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> b[5] = {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        -5.447609879822406e+01,  1.615858368580409e+02,</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        -1.556989798598866e+02,  6.680131188771972e+01,</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      };</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> c[6] = {</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        -7.784894002430293e-03, -3.223964580411365e-01,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        -2.400758277161838e+00, -2.549732539343734e+00,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        4.374664141464968e+00,  2.938163982698783e+00</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      };</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> d[4] = {</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        7.784695709041462e-03,  3.224671290700398e-01,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        2.445134137142996e+00,  3.754408661907416e+00</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      };</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> p_low = 0.02425;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> p_high = 0.97575;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordtype">double</span> x;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">if</span> ((p_low &lt;= p) &amp;&amp; (p &lt;= p_high)) {</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordtype">double</span> q = p - 0.5;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keywordtype">double</span> r = q * q;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        x = (((((a[0]*r + a[1])*r + a[2])*r + a[3])*r + a[4])*r + a[5])*q</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;          / (((((b[0]*r + b[1])*r + b[2])*r + b[3])*r + b[4])*r + 1.0);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (p &lt; p_low) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keywordtype">double</span> q = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(-2.0*<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(p));</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        x = (((((c[0]*q + c[1])*q + c[2])*q + c[3])*q + c[4])*q + c[5])</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;          / ((((d[0]*q + d[1])*q + d[2])*q + d[3])*q + 1.0);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordtype">double</span> q = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(-2.0 * <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>(p));</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        x = -(((((c[0]*q + c[1])*q + c[2])*q + c[3])*q + c[4])*q + c[5])</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;          / ((((d[0]*q + d[1])*q + d[2])*q + d[3])*q + 1.0);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      }</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keywordflow">if</span> (x &lt; 37.6) {  <span class="comment">// gradient blows up past here</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a> = <a class="code" href="namespacestan_1_1math.html#ac73a2c7f20161172ffee17c7c880019f">stan::math::Phi</a>(x) - p;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordtype">double</span> u = e * <a class="code" href="namespacestan_1_1math.html#aa628c5af5a85d53472f0126fcca44524">SQRT_2_TIMES_SQRT_PI</a> * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>(0.5 * x * x);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        x -= u / (1.0 + 0.5 * x * u);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">return</span> x;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;}</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a91bcae4b6bdf262f91673bf7b15fea99"><div class="ttname"><a href="namespacestan_1_1math.html#a91bcae4b6bdf262f91673bf7b15fea99">stan::math::inv_Phi</a></div><div class="ttdeci">fvar&lt; T &gt; inv_Phi(const fvar&lt; T &gt; &amp;p)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv___phi_8hpp_source.html#l00015">inv_Phi.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa628c5af5a85d53472f0126fcca44524"><div class="ttname"><a href="namespacestan_1_1math.html#aa628c5af5a85d53472f0126fcca44524">stan::math::SQRT_2_TIMES_SQRT_PI</a></div><div class="ttdeci">const double SQRT_2_TIMES_SQRT_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00158">constants.hpp:158</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac73a2c7f20161172ffee17c7c880019f"><div class="ttname"><a href="namespacestan_1_1math.html#ac73a2c7f20161172ffee17c7c880019f">stan::math::Phi</a></div><div class="ttdeci">fvar&lt; T &gt; Phi(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2_phi_8hpp_source.html#l00014">Phi.hpp:14</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7f2ac8ebf3095e9934715bb34f0669b3"><div class="ttname"><a href="namespacestan_1_1math.html#a7f2ac8ebf3095e9934715bb34f0669b3">stan::math::INFTY</a></div><div class="ttdeci">const double INFTY</div><div class="ttdoc">Positive infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00044">constants.hpp:44</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa37d0f67f02e0a0b5797ed9f4df56bfb"><div class="ttname"><a href="namespacestan_1_1math.html#aa37d0f67f02e0a0b5797ed9f4df56bfb">stan::math::NEGATIVE_INFTY</a></div><div class="ttdeci">const double NEGATIVE_INFTY</div><div class="ttdoc">Negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00050">constants.hpp:50</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2_phi_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2_phi_8hpp.html">Phi.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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diff --git a/doc/api/html/prim_2scal_2fun_2inv__cloglog_8hpp.html b/doc/api/html/prim_2scal_2fun_2inv__cloglog_8hpp.html
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a008bf0b6c2ab38d088b0aba5d7b10c8d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a008bf0b6c2ab38d088b0aba5d7b10c8d"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a008bf0b6c2ab38d088b0aba5d7b10c8d">stan::math::inv_cloglog</a> (T x)</td></tr>
+<tr class="memdesc:a008bf0b6c2ab38d088b0aba5d7b10c8d"><td class="mdescLeft">&#160;</td><td class="mdescRight">The inverse complementary log-log function.  <a href="namespacestan_1_1math.html#a008bf0b6c2ab38d088b0aba5d7b10c8d">More...</a><br /></td></tr>
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+<a href="prim_2scal_2fun_2inv__cloglog_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_INV_CLOGLOG_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aba00ed1e73c3a2366226aa4c83e4d8b9"><div class="ttname"><a href="namespacestan_1_1math.html#aba00ed1e73c3a2366226aa4c83e4d8b9">stan::math::inv_cloglog</a></div><div class="ttdeci">fvar&lt; T &gt; inv_cloglog(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv__cloglog_8hpp_source.html#l00015">inv_cloglog.hpp:15</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2inv__logit_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:ad2c4834fc581f55acf8491ec3f80ecb7"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad2c4834fc581f55acf8491ec3f80ecb7"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad2c4834fc581f55acf8491ec3f80ecb7">stan::math::inv_logit</a> (const T a)</td></tr>
+<tr class="memdesc:ad2c4834fc581f55acf8491ec3f80ecb7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the inverse logit function applied to the argument.  <a href="namespacestan_1_1math.html#ad2c4834fc581f55acf8491ec3f80ecb7">More...</a><br /></td></tr>
+<tr class="separator:ad2c4834fc581f55acf8491ec3f80ecb7"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="prim_2scal_2fun_2inv__logit_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_INV_LOGIT_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a76a22ee34432be58edb4b6ed9469370a"><div class="ttname"><a href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a></div><div class="ttdeci">fvar&lt; T &gt; inv_logit(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv__logit_8hpp_source.html#l00015">inv_logit.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a4b4db5e98585c71cc7c14319f96e0c04"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a4b4db5e98585c71cc7c14319f96e0c04"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4b4db5e98585c71cc7c14319f96e0c04">stan::math::inv_sqrt</a> (const T x)</td></tr>
+<tr class="separator:a4b4db5e98585c71cc7c14319f96e0c04"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="prim_2scal_2fun_2inv__sqrt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_INV_SQRT_HPP</span></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
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+<tr class="memitem:a3d2e922aa13e2dfae510fc13d86eaea3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a3d2e922aa13e2dfae510fc13d86eaea3"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3d2e922aa13e2dfae510fc13d86eaea3">stan::math::inv_square</a> (const T x)</td></tr>
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+<a href="prim_2scal_2fun_2inv__square_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_INV_SQUARE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa7c1f6b0f3c9f48fa30e09f2d929336d"><div class="ttname"><a href="namespacestan_1_1math.html#aa7c1f6b0f3c9f48fa30e09f2d929336d">stan::math::inv_square</a></div><div class="ttdeci">fvar&lt; T &gt; inv_square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv__square_8hpp_source.html#l00015">inv_square.hpp:15</a></div></div>
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+<tr class="memdesc:ae01488df30a81c36b1a00391b9541e1d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns 1 if the input is NaN and 0 otherwise.  <a href="namespacestan_1_1math.html#ae01488df30a81c36b1a00391b9541e1d">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+Functions</h2></td></tr>
+<tr class="memitem:a40c14c26dc55a985e05695b3ff1eeef2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a40c14c26dc55a985e05695b3ff1eeef2"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a40c14c26dc55a985e05695b3ff1eeef2">stan::math::is_uninitialized</a> (T x)</td></tr>
+<tr class="memdesc:a40c14c26dc55a985e05695b3ff1eeef2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns <code>true</code> if the specified variable is uninitialized.  <a href="namespacestan_1_1math.html#a40c14c26dc55a985e05695b3ff1eeef2">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a40c14c26dc55a985e05695b3ff1eeef2"><div class="ttname"><a href="namespacestan_1_1math.html#a40c14c26dc55a985e05695b3ff1eeef2">stan::math::is_uninitialized</a></div><div class="ttdeci">bool is_uninitialized(T x)</div><div class="ttdoc">Returns true if the specified variable is uninitialized. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2fun_2is__uninitialized_8hpp_source.html#l00019">is_uninitialized.hpp:19</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2lbeta_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:af37c166c79a3e66d101d682b3474f6ab"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:af37c166c79a3e66d101d682b3474f6ab"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af37c166c79a3e66d101d682b3474f6ab">stan::math::lbeta</a> (const T1 a, const T2 b)</td></tr>
+<tr class="memdesc:af37c166c79a3e66d101d682b3474f6ab"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of the beta function applied to the specified arguments.  <a href="namespacestan_1_1math.html#af37c166c79a3e66d101d682b3474f6ab">More...</a><br /></td></tr>
+<tr class="separator:af37c166c79a3e66d101d682b3474f6ab"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="prim_2scal_2fun_2lbeta_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LBETA_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(a)</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac51be9d210e223a8aa4241e2d725e295"><div class="ttname"><a href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a></div><div class="ttdeci">fvar&lt; T &gt; lbeta(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">lbeta.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
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+<tr class="memdesc:a836f46d7f63f5118a32cad11382c0551"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{lgamma}(x) = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \ln\Gamma(x) &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_96.png"/>
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+<a href="prim_2scal_2fun_2lgamma_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LGAMMA_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="comment">// throws domain_error if x is at pole</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a836f46d7f63f5118a32cad11382c0551">   31</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(<span class="keywordtype">double</span> x) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a21018562738b2bf94984bcb7e1c9865b">boost::math::lgamma</a>(x);</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;  }</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;}</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_aead76f03bdbc60484ad760fc31bad40f"><div class="ttname"><a href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a></div><div class="ttdeci">fvar&lt; T &gt; lgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">lgamma.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a21018562738b2bf94984bcb7e1c9865b"><div class="ttname"><a href="namespacestan_1_1math.html#a21018562738b2bf94984bcb7e1c9865b">stan::math::lgamma</a></div><div class="ttdeci">var lgamma(const stan::math::var &amp;a)</div><div class="ttdoc">The log gamma function for variables (C99). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2lgamma_8hpp_source.html#l00035">lgamma.hpp:35</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2lmgamma_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a0ee0706b2cb6d2e1da2c3b6041c06a56"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a0ee0706b2cb6d2e1da2c3b6041c06a56"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0ee0706b2cb6d2e1da2c3b6041c06a56">stan::math::lmgamma</a> (const int k, T x)</td></tr>
+<tr class="memdesc:a0ee0706b2cb6d2e1da2c3b6041c06a56"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the natural logarithm of the multivariate gamma function with the speciifed dimensions and argument.  <a href="namespacestan_1_1math.html#a0ee0706b2cb6d2e1da2c3b6041c06a56">More...</a><br /></td></tr>
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+<a href="prim_2scal_2fun_2lmgamma_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LMGAMMA_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a177764626d2378e0d7bdfb26aac187b6"><div class="ttname"><a href="namespacestan_1_1math.html#a177764626d2378e0d7bdfb26aac187b6">stan::math::LOG_PI_OVER_FOUR</a></div><div class="ttdeci">const double LOG_PI_OVER_FOUR</div><div class="ttdoc">Log pi divided by 4 . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00079">constants.hpp:79</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
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+<tr class="memitem:a4f92092fb8a70b31d00898bbbe769612"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4f92092fb8a70b31d00898bbbe769612">stan::math::log1m</a> (T x)</td></tr>
+<tr class="memdesc:a4f92092fb8a70b31d00898bbbe769612"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the natural logarithm of one minus the specified value.  <a href="namespacestan_1_1math.html#a4f92092fb8a70b31d00898bbbe769612">More...</a><br /></td></tr>
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+<div class="ttc" id="prim_2scal_2fun_2log1p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p_8hpp.html">log1p.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;boost/throw_exception.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2log1m__exp_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a3ce261caf05bd371c430e82a0e6389a5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a3ce261caf05bd371c430e82a0e6389a5"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3ce261caf05bd371c430e82a0e6389a5">stan::math::log1m_exp</a> (const T a)</td></tr>
+<tr class="memdesc:a3ce261caf05bd371c430e82a0e6389a5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the log of 1 minus the exponential of the specified value without overflow log1m_exp(x) = log(1-exp(x)).  <a href="namespacestan_1_1math.html#a3ce261caf05bd371c430e82a0e6389a5">More...</a><br /></td></tr>
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+<a href="prim_2scal_2fun_2log1m__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LOG1M_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LOG1M_EXP_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/throw_exception.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T&gt;::type</div>
+<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3ce261caf05bd371c430e82a0e6389a5">   41</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">log1m_exp</a>(<span class="keyword">const</span> T a) {</div>
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+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">if</span> (a &gt;= 0)</div>
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+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(<a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(a));</div>
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+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;  }</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;}</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8a76b658b94fcf8943f4fb41c586ec94"><div class="ttname"><a href="namespacestan_1_1math.html#a8a76b658b94fcf8943f4fb41c586ec94">stan::math::expm1</a></div><div class="ttdeci">fvar&lt; T &gt; expm1(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2expm1_8hpp_source.html#l00012">expm1.hpp:12</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7760d28e8fddf268113469b44463de07"><div class="ttname"><a href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">stan::math::log1m_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log1m_exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m__exp_8hpp_source.html#l00016">log1m_exp.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
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+<p><a href="prim_2scal_2fun_2log1m__inv__logit_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:ac7f71c696a5e0da4daab30e5f3704842"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ac7f71c696a5e0da4daab30e5f3704842"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac7f71c696a5e0da4daab30e5f3704842">stan::math::log1m_inv_logit</a> (const T u)</td></tr>
+<tr class="memdesc:ac7f71c696a5e0da4daab30e5f3704842"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the natural logarithm of 1 minus the inverse logit of the specified argument.  <a href="namespacestan_1_1math.html#ac7f71c696a5e0da4daab30e5f3704842">More...</a><br /></td></tr>
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+<a href="prim_2scal_2fun_2log1m__inv__logit_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LOG1M_INV_LOGIT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LOG1M_INV_LOGIT_HPP</span></div>
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+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa16e57e82fb1e17f74ef43592748ff32"><div class="ttname"><a href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">stan::math::log1p</a></div><div class="ttdeci">fvar&lt; T &gt; log1p(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1p_8hpp_source.html#l00016">log1p.hpp:16</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2log1p_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a5166d3c58ad8ce0aedbf104179888b69"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a5166d3c58ad8ce0aedbf104179888b69"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5166d3c58ad8ce0aedbf104179888b69">stan::math::log1p</a> (const T x)</td></tr>
+<tr class="memdesc:a5166d3c58ad8ce0aedbf104179888b69"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the natural logarithm of one plus the specified value.  <a href="namespacestan_1_1math.html#a5166d3c58ad8ce0aedbf104179888b69">More...</a><br /></td></tr>
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+<div class="title">log1p.hpp</div>  </div>
+</div><!--header-->
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+<a href="prim_2scal_2fun_2log1p_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LOG1P_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LOG1P_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T&gt;::type</div>
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+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa16e57e82fb1e17f74ef43592748ff32"><div class="ttname"><a href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">stan::math::log1p</a></div><div class="ttdeci">fvar&lt; T &gt; log1p(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1p_8hpp_source.html#l00016">log1p.hpp:16</a></div></div>
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+<div class="title">log1p_exp.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2log1p__exp_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a88151def26813dec3e04c4a8b9674091"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a88151def26813dec3e04c4a8b9674091"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a88151def26813dec3e04c4a8b9674091">stan::math::log1p_exp</a> (const T a)</td></tr>
+<tr class="memdesc:a88151def26813dec3e04c4a8b9674091"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the log of 1 plus the exponential of the specified value without overflow.  <a href="namespacestan_1_1math.html#a88151def26813dec3e04c4a8b9674091">More...</a><br /></td></tr>
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+</div><!--header-->
+<div class="contents">
+<a href="prim_2scal_2fun_2log1p__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LOG1P_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LOG1P_EXP_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T&gt;::type</div>
+<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a88151def26813dec3e04c4a8b9674091">   44</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">log1p_exp</a>(<span class="keyword">const</span> T a) {</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="comment">// like log_sum_exp below with b=0.0; prevents underflow</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">if</span> (a &gt; 0.0)</div>
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+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2log2_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:aa25e1572bf46e3a6b9ee270f0c7e2c4d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aa25e1572bf46e3a6b9ee270f0c7e2c4d"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa25e1572bf46e3a6b9ee270f0c7e2c4d">stan::math::log2</a> (const T a)</td></tr>
+<tr class="memdesc:aa25e1572bf46e3a6b9ee270f0c7e2c4d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the base 2 logarithm of the argument (C99).  <a href="namespacestan_1_1math.html#aa25e1572bf46e3a6b9ee270f0c7e2c4d">More...</a><br /></td></tr>
+<tr class="separator:aa25e1572bf46e3a6b9ee270f0c7e2c4d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a947ba3fe3c87293f7c57395007100c79"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return natural logarithm of two.  <a href="namespacestan_1_1math.html#a947ba3fe3c87293f7c57395007100c79">More...</a><br /></td></tr>
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+<a href="prim_2scal_2fun_2log2_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LOG2_HPP</span></div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m__exp_8hpp_source.html">stan/math/prim/scal/fun/log1m_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;boost/throw_exception.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2log__diff__exp_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a685dbad032c2794fbc8bca7f44119eab"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a685dbad032c2794fbc8bca7f44119eab"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a685dbad032c2794fbc8bca7f44119eab">stan::math::log_diff_exp</a> (const T1 x, const T2 y)</td></tr>
+<tr class="memdesc:a685dbad032c2794fbc8bca7f44119eab"><td class="mdescLeft">&#160;</td><td class="mdescRight">The natural logarithm of the difference of the natural exponentiation of x1 and the natural exponentiation of x2.  <a href="namespacestan_1_1math.html#a685dbad032c2794fbc8bca7f44119eab">More...</a><br /></td></tr>
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+<a href="prim_2scal_2fun_2log__diff__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LOG_DIFF_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LOG_DIFF_EXP_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/throw_exception.hpp&gt;</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a1ba84f8c43b399f555647a0402a710ef"><div class="ttname"><a href="namespacestan_1_1math.html#a1ba84f8c43b399f555647a0402a710ef">stan::math::log_diff_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log_diff_exp(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log__diff__exp_8hpp_source.html#l00014">log_diff_exp.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7760d28e8fddf268113469b44463de07"><div class="ttname"><a href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">stan::math::log1m_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log1m_exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m__exp_8hpp_source.html#l00016">log1m_exp.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m__exp_8hpp.html">log1m_exp.hpp</a></div></div>
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+<tr class="memitem:afd407ae0bf698d58b8e59e580749e705"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afd407ae0bf698d58b8e59e580749e705">stan::math::log_falling_factorial</a> (const T1 x, const T2 n)</td></tr>
+<tr class="memdesc:afd407ae0bf698d58b8e59e580749e705"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_falling\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \ln (x)_n &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_119.png"/>
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+<a href="prim_2scal_2fun_2log__falling__factorial_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LOG_FALLING_FACTORIAL_HPP</span></div>
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+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T1, T2&gt;::type</div>
+<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afd407ae0bf698d58b8e59e580749e705">   41</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">log_falling_factorial</a>(<span class="keyword">const</span> T1 x, <span class="keyword">const</span> T2 n) {</div>
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+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aead76f03bdbc60484ad760fc31bad40f"><div class="ttname"><a href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a></div><div class="ttdeci">fvar&lt; T &gt; lgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">lgamma.hpp:15</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:ad5be889d1ef4284654a04e400f5371a7"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad5be889d1ef4284654a04e400f5371a7"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad5be889d1ef4284654a04e400f5371a7">stan::math::log_inv_logit</a> (const T &amp;u)</td></tr>
+<tr class="memdesc:ad5be889d1ef4284654a04e400f5371a7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the natural logarithm of the inverse logit of the specified argument.  <a href="namespacestan_1_1math.html#ad5be889d1ef4284654a04e400f5371a7">More...</a><br /></td></tr>
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+<a href="prim_2scal_2fun_2log__inv__logit_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LOG_INV_LOGIT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LOG_INV_LOGIT_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/scal/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memitem:a1b7b9cda7f1b3234cc4b3fc20e595482"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1b7b9cda7f1b3234cc4b3fc20e595482">stan::math::log_mix</a> (double theta, double lambda1, double lambda2)</td></tr>
+<tr class="memdesc:a1b7b9cda7f1b3234cc4b3fc20e595482"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log mixture density with specified mixing proportion and log densities.  <a href="namespacestan_1_1math.html#a1b7b9cda7f1b3234cc4b3fc20e595482">More...</a><br /></td></tr>
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+<div class="title">log_mix.hpp</div>  </div>
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+<a href="prim_2scal_2fun_2log__mix_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LOG_MIX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LOG_MIX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__sum__exp_8hpp.html">stan/math/prim/scal/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1b7b9cda7f1b3234cc4b3fc20e595482">   46</a></span>&#160;    <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">log_mix</a>(<span class="keywordtype">double</span> theta,</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                   <span class="keywordtype">double</span> lambda1,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                   <span class="keywordtype">double</span> lambda2) {</div>
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+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>(<span class="stringliteral">&quot;log_mix&quot;</span>, <span class="stringliteral">&quot;lambda2&quot;</span>, lambda2);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a>(<span class="stringliteral">&quot;log_mix&quot;</span>, <span class="stringliteral">&quot;theta&quot;</span>, theta, 0, 1);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(theta) + lambda1,</div>
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+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac86474622fba4524c529c4b8024e4ceb"><div class="ttname"><a href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">stan::math::log_sum_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log_sum_exp(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00014">log_sum_exp.hpp:14</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__sum__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__sum__exp_8hpp.html">log_sum_exp.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a014f4431773309ae7fd1420b0f6aa99f"><div class="ttname"><a href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">stan::math::log_mix</a></div><div class="ttdeci">fvar&lt; T &gt; log_mix(const fvar&lt; T &gt; &amp;theta, const fvar&lt; T &gt; &amp;lambda1, const fvar&lt; T &gt; &amp;lambda2)</div><div class="ttdoc">Return the log mixture density with specified mixing proportion and log densities and its derivative ...</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00117">log_mix.hpp:117</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
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+Functions</h2></td></tr>
+<tr class="memitem:a05002f0d4de2c84705dc2bbadfce6b6c"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a05002f0d4de2c84705dc2bbadfce6b6c"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a05002f0d4de2c84705dc2bbadfce6b6c">stan::math::log_rising_factorial</a> (const T1 x, const T2 n)</td></tr>
+<tr class="memdesc:a05002f0d4de2c84705dc2bbadfce6b6c"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{log\_rising\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ \ln x^{(n)} &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_128.png"/>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LOG_RISING_FACTORIAL_HPP</span></div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(x + n) - <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(x);</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa4aff0dd42a2b0b33ac55e9a45f35b1e"><div class="ttname"><a href="namespacestan_1_1math.html#aa4aff0dd42a2b0b33ac55e9a45f35b1e">stan::math::log_rising_factorial</a></div><div class="ttdeci">fvar&lt; T &gt; log_rising_factorial(const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log__rising__factorial_8hpp_source.html#l00016">log_rising_factorial.hpp:16</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p__exp_8hpp_source.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2log__sum__exp_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a554e6f04e24049b7fe6e56f60abbc560"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a554e6f04e24049b7fe6e56f60abbc560"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a554e6f04e24049b7fe6e56f60abbc560">stan::math::log_sum_exp</a> (const T2 &amp;a, const T1 &amp;b)</td></tr>
+<tr class="memdesc:a554e6f04e24049b7fe6e56f60abbc560"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the log sum of exponetials without overflow.  <a href="namespacestan_1_1math.html#a554e6f04e24049b7fe6e56f60abbc560">More...</a><br /></td></tr>
+<tr class="separator:a554e6f04e24049b7fe6e56f60abbc560"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">log_sum_exp.hpp</div>  </div>
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+<a href="prim_2scal_2fun_2log__sum__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_LOG_SUM_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_LOG_SUM_EXP_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p__exp_8hpp.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ac86474622fba4524c529c4b8024e4ceb"><div class="ttname"><a href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">stan::math::log_sum_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log_sum_exp(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00014">log_sum_exp.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1p__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p__exp_8hpp.html">log1p_exp.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0fe928ad2b96b802f6d488ba43167489"><div class="ttname"><a href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">stan::math::log1p_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log1p_exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1p__exp_8hpp_source.html#l00013">log1p_exp.hpp:13</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2logit_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a53342d0c2cd3a6e440c533070054aca3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a53342d0c2cd3a6e440c533070054aca3"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a53342d0c2cd3a6e440c533070054aca3">stan::math::logit</a> (const T a)</td></tr>
+<tr class="memdesc:a53342d0c2cd3a6e440c533070054aca3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the logit function applied to the argument.  <a href="namespacestan_1_1math.html#a53342d0c2cd3a6e440c533070054aca3">More...</a><br /></td></tr>
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+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(a / (1.0 - a));</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    }</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  }</div>
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+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab025eaf1e6f5c920f69c37e7a7f8b319"><div class="ttname"><a href="namespacestan_1_1math.html#ab025eaf1e6f5c920f69c37e7a7f8b319">stan::math::logit</a></div><div class="ttdeci">fvar&lt; T &gt; logit(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2logit_8hpp_source.html#l00017">logit.hpp:17</a></div></div>
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+<div class="title">modified_bessel_first_kind.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/special_functions/bessel.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:acafecf14b103c7c17da33368d07b1565"><td class="memTemplParams" colspan="2">template&lt;typename T2 &gt; </td></tr>
+<tr class="memitem:acafecf14b103c7c17da33368d07b1565"><td class="memTemplItemLeft" align="right" valign="top">T2&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acafecf14b103c7c17da33368d07b1565">stan::math::modified_bessel_first_kind</a> (const int v, const T2 z)</td></tr>
+<tr class="memdesc:acafecf14b103c7c17da33368d07b1565"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{modified\_bessel\_first\_kind}(v, z) = \begin{cases} I_v(z) &amp; \mbox{if } -\infty\leq z \leq \infty \\[6pt] \textrm{error} &amp; \mbox{if } z = \textrm{NaN} \end{cases} \]" src="form_148.png"/>
+</p>
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diff --git a/doc/api/html/prim_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html b/doc/api/html/prim_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html
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+<div class="title">modified_bessel_first_kind.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/bessel.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T2&gt;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">inline</span> T2</div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#acafecf14b103c7c17da33368d07b1565">   39</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">modified_bessel_first_kind</a>(<span class="keyword">const</span> <span class="keywordtype">int</span> v, <span class="keyword">const</span> T2 z) {</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="stringliteral">&quot;modified_bessel_first_kind&quot;</span>, <span class="stringliteral">&quot;z&quot;</span>, z);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">return</span> boost::math::cyl_bessel_i(v, z);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    }</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_adcb3160540f6fe745abb846df2174742"><div class="ttname"><a href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">stan::math::modified_bessel_first_kind</a></div><div class="ttdeci">fvar&lt; T &gt; modified_bessel_first_kind(int v, const fvar&lt; T &gt; &amp;z)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html#l00015">modified_bessel_first_kind.hpp:15</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/special_functions/bessel.hpp&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a72ce86f3db5478cad4666c9cf1d05a6e"><td class="memTemplParams" colspan="2">template&lt;typename T2 &gt; </td></tr>
+<tr class="memitem:a72ce86f3db5478cad4666c9cf1d05a6e"><td class="memTemplItemLeft" align="right" valign="top">T2&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a72ce86f3db5478cad4666c9cf1d05a6e">stan::math::modified_bessel_second_kind</a> (const int v, const T2 z)</td></tr>
+<tr class="memdesc:a72ce86f3db5478cad4666c9cf1d05a6e"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{modified\_bessel\_second\_kind}(v, z) = \begin{cases} \textrm{error} &amp; \mbox{if } z \leq 0 \\ K_v(z) &amp; \mbox{if } z > 0 \\[6pt] \textrm{NaN} &amp; \mbox{if } z = \textrm{NaN} \end{cases} \]" src="form_152.png"/>
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+<a href="prim_2scal_2fun_2modified__bessel__second__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_MODIFIED_BESSEL_SECOND_KIND_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_MODIFIED_BESSEL_SECOND_KIND_HPP</span></div>
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+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T2&gt;</div>
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+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;}</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#endif</span></div>
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+Functions</h2></td></tr>
+<tr class="memitem:a0f15d9bf40cdab5e3ef75cea2595244c"><td class="memTemplParams" colspan="2">template&lt;typename T_a , typename T_b &gt; </td></tr>
+<tr class="memitem:a0f15d9bf40cdab5e3ef75cea2595244c"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_a, T_b &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0f15d9bf40cdab5e3ef75cea2595244c">stan::math::multiply_log</a> (const T_a a, const T_b b)</td></tr>
+<tr class="memdesc:a0f15d9bf40cdab5e3ef75cea2595244c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculated the value of the first argument times log of the second argument while behaving properly with 0 inputs.  <a href="namespacestan_1_1math.html#a0f15d9bf40cdab5e3ef75cea2595244c">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a055efd6bb49a1df5ea4da98d1078d0e6"><div class="ttname"><a href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a></div><div class="ttdeci">fvar&lt; T &gt; multiply_log(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2multiply__log_8hpp_source.html#l00015">multiply_log.hpp:15</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/owens_t.hpp&gt;</code><br />
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+<p><a href="prim_2scal_2fun_2owens__t_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:af099f2a72adf07f89f5f27f405d7afab"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af099f2a72adf07f89f5f27f405d7afab">stan::math::owens_t</a> (const double h, const double a)</td></tr>
+<tr class="memdesc:af099f2a72adf07f89f5f27f405d7afab"><td class="mdescLeft">&#160;</td><td class="mdescRight">The Owen's T function of h and a.  <a href="namespacestan_1_1math.html#af099f2a72adf07f89f5f27f405d7afab">More...</a><br /></td></tr>
+<tr class="separator:af099f2a72adf07f89f5f27f405d7afab"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">owens_t.hpp</div>  </div>
+</div><!--header-->
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+<a href="prim_2scal_2fun_2owens__t_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_OWENS_T_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a1a8dab8811eeb8705651daeefc449816"><div class="ttname"><a href="namespacestan_1_1math.html#a1a8dab8811eeb8705651daeefc449816">stan::math::owens_t</a></div><div class="ttdeci">var owens_t(double h, const var &amp;a)</div><div class="ttdoc">The Owen&#39;s T function of h and a. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2owens__t_8hpp_source.html#l00099">owens_t.hpp:99</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits/is_arithmetic.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2fun_2primitive__value_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:af8cbc3a490edf340544fb12df544269e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:af8cbc3a490edf340544fb12df544269e"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if&lt; boost::is_arithmetic&lt; T &gt;, T &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af8cbc3a490edf340544fb12df544269e">stan::math::primitive_value</a> (T x)</td></tr>
+<tr class="memdesc:af8cbc3a490edf340544fb12df544269e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of the specified arithmetic argument unmodified with its own declared type.  <a href="namespacestan_1_1math.html#af8cbc3a490edf340544fb12df544269e">More...</a><br /></td></tr>
+<tr class="separator:af8cbc3a490edf340544fb12df544269e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0491e419195548cdede51a384547aef2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a0491e419195548cdede51a384547aef2"><td class="memTemplItemLeft" align="right" valign="top">boost::disable_if&lt; boost::is_arithmetic&lt; T &gt;, double &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0491e419195548cdede51a384547aef2">stan::math::primitive_value</a> (const T &amp;x)</td></tr>
+<tr class="memdesc:a0491e419195548cdede51a384547aef2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the primitive value of the specified argument.  <a href="namespacestan_1_1math.html#a0491e419195548cdede51a384547aef2">More...</a><br /></td></tr>
+<tr class="separator:a0491e419195548cdede51a384547aef2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__rising__factorial_8hpp_source.html">stan/math/prim/scal/fun/log_rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a6db558a6d0b54bf4ea23d9f247c6fbdb"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
+<tr class="memitem:a6db558a6d0b54bf4ea23d9f247c6fbdb"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6db558a6d0b54bf4ea23d9f247c6fbdb">stan::math::rising_factorial</a> (const T1 x, const T2 n)</td></tr>
+<tr class="memdesc:a6db558a6d0b54bf4ea23d9f247c6fbdb"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{rising\_factorial}(x, n) = \begin{cases} \textrm{error} &amp; \mbox{if } x \leq 0\\ x^{(n)} &amp; \mbox{if } x > 0 \textrm{ and } -\infty \leq n \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN or } n = \textrm{NaN} \end{cases} \]" src="form_176.png"/>
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+<a href="prim_2scal_2fun_2rising__factorial_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_RISING_FACTORIAL_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__rising__factorial_8hpp.html">stan/math/prim/scal/fun/log_rising_factorial.hpp</a>&gt;</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__rising__factorial_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__rising__factorial_8hpp.html">log_rising_factorial.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa4aff0dd42a2b0b33ac55e9a45f35b1e"><div class="ttname"><a href="namespacestan_1_1math.html#aa4aff0dd42a2b0b33ac55e9a45f35b1e">stan::math::log_rising_factorial</a></div><div class="ttdeci">fvar&lt; T &gt; log_rising_factorial(const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log__rising__factorial_8hpp_source.html#l00016">log_rising_factorial.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac5aa264060b3c4ed7954f07dc0fcf138"><div class="ttname"><a href="namespacestan_1_1math.html#ac5aa264060b3c4ed7954f07dc0fcf138">stan::math::rising_factorial</a></div><div class="ttdeci">fvar&lt; T &gt; rising_factorial(const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2rising__factorial_8hpp_source.html#l00016">rising_factorial.hpp:16</a></div></div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a056b82f11f784f321bce2c5677089e24"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a056b82f11f784f321bce2c5677089e24"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a056b82f11f784f321bce2c5677089e24">stan::math::square</a> (const T x)</td></tr>
+<tr class="memdesc:a056b82f11f784f321bce2c5677089e24"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the square of the specified argument.  <a href="namespacestan_1_1math.html#a056b82f11f784f321bce2c5677089e24">More...</a><br /></td></tr>
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+<a href="prim_2scal_2fun_2square_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_SQUARE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_SQUARE_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+Functions</h2></td></tr>
+<tr class="memitem:a73087d72fd937f4be66684bd2613ae6e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a73087d72fd937f4be66684bd2613ae6e"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a73087d72fd937f4be66684bd2613ae6e">stan::math::value_of</a> (const T x)</td></tr>
+<tr class="memdesc:a73087d72fd937f4be66684bd2613ae6e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of the specified scalar argument converted to a double value.  <a href="namespacestan_1_1math.html#a73087d72fd937f4be66684bd2613ae6e">More...</a><br /></td></tr>
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+<tr class="memdesc:a2d7774df98215b7d113075019d74ebbf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified argument.  <a href="namespacestan_1_1math.html#a2d7774df98215b7d113075019d74ebbf">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a7a99d6e8d6986fffb421e859770560bc"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a7a99d6e8d6986fffb421e859770560bc"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7a99d6e8d6986fffb421e859770560bc">stan::math::value_of_rec</a> (const T x)</td></tr>
+<tr class="memdesc:a7a99d6e8d6986fffb421e859770560bc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of the specified scalar argument converted to a double value.  <a href="namespacestan_1_1math.html#a7a99d6e8d6986fffb421e859770560bc">More...</a><br /></td></tr>
+<tr class="separator:a7a99d6e8d6986fffb421e859770560bc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7bb47fffd6ec0b1864d5e8bf0b99cf55"><td class="memTemplParams" colspan="2">template&lt;&gt; </td></tr>
+<tr class="memitem:a7bb47fffd6ec0b1864d5e8bf0b99cf55"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7bb47fffd6ec0b1864d5e8bf0b99cf55">stan::math::value_of_rec&lt; double &gt;</a> (const double x)</td></tr>
+<tr class="memdesc:a7bb47fffd6ec0b1864d5e8bf0b99cf55"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified argument.  <a href="namespacestan_1_1math.html#a7bb47fffd6ec0b1864d5e8bf0b99cf55">More...</a><br /></td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<a href="prim_2scal_2fun_2value__of__rec_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_VALUE_OF_REC_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_VALUE_OF_REC_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7a99d6e8d6986fffb421e859770560bc">   24</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">value_of_rec</a>(<span class="keyword">const</span> T x) {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(x);</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    }</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="keyword">template</span> &lt;&gt;</div>
+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7bb47fffd6ec0b1864d5e8bf0b99cf55">   40</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a7bb47fffd6ec0b1864d5e8bf0b99cf55">value_of_rec&lt;double&gt;</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keywordflow">return</span> x;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  }</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;}</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a00b8cbdec7c35e7c93b0f47dae3c5498"><div class="ttname"><a href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">stan::math::value_of_rec</a></div><div class="ttdeci">double value_of_rec(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of__rec_8hpp_source.html#l00021">value_of_rec.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7bb47fffd6ec0b1864d5e8bf0b99cf55"><div class="ttname"><a href="namespacestan_1_1math.html#a7bb47fffd6ec0b1864d5e8bf0b99cf55">stan::math::value_of_rec&lt; double &gt;</a></div><div class="ttdeci">double value_of_rec&lt; double &gt;(const double x)</div><div class="ttdoc">Return the specified argument. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2fun_2value__of__rec_8hpp_source.html#l00040">value_of_rec.hpp:40</a></div></div>
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diff --git a/doc/api/html/prim_2scal_2meta_2_operands_and_partials_8hpp.html b/doc/api/html/prim_2scal_2meta_2_operands_and_partials_8hpp.html
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+<div class="title">OperandsAndPartials.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">This class builds partial derivatives with respect to a set of operands.  <a href="structstan_1_1math_1_1_operands_and_partials.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_9ec950271af1cddf056bfa055aaed7a2.html">meta</a></li>  </ul>
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+<div class="title">OperandsAndPartials.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_OPERANDSANDPARTIALS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_OPERANDSANDPARTIALS_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T1 = double, <span class="keyword">typename</span> T2 = double, <span class="keyword">typename</span> T3 = double,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;             <span class="keyword">typename</span> T4 = double, <span class="keyword">typename</span> T5 = double, <span class="keyword">typename</span> T6 = double,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;             <span class="keyword">typename</span> T_return_type</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;             = <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type&lt;T1, T2, T3, T4, T5, T6&gt;::type</a>&gt;</div>
+<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials.html">   38</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials</a> {</div>
+<div class="line"><a name="l00039"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">   39</a></span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;T_return_type, false, true&gt;</a> <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">   40</a></span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;T_return_type, false, true&gt;</a> <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">   41</a></span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;T_return_type, false, true&gt;</a> <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">   42</a></span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;T_return_type, false, true&gt;</a> <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials.html#a2510456783a14b95a31875b3d2290fac">   43</a></span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;T_return_type, false, true&gt;</a> <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2510456783a14b95a31875b3d2290fac">d_x5</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials.html#ad40923a1e408b5b54f5652e3309d0912">   44</a></span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;T_return_type, false, true&gt;</a> <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#ad40923a1e408b5b54f5652e3309d0912">d_x6</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials.html#adf6b7d0ec54cb420870fa5fa2ff3907d">   56</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#adf6b7d0ec54cb420870fa5fa2ff3907d">OperandsAndPartials</a>(<span class="keyword">const</span> T1&amp; x1 = 0, <span class="keyword">const</span> T2&amp; x2 = 0,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                          <span class="keyword">const</span> T3&amp; x3 = 0, <span class="keyword">const</span> T4&amp; x4 = 0,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                          <span class="keyword">const</span> T5&amp; x5 = 0, <span class="keyword">const</span> T6&amp; x6 = 0) { }</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      T_return_type</div>
+<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">   68</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<span class="keywordtype">double</span> <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      }</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    };</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  }</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;}</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_adf6b7d0ec54cb420870fa5fa2ff3907d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#adf6b7d0ec54cb420870fa5fa2ff3907d">stan::math::OperandsAndPartials::OperandsAndPartials</a></div><div class="ttdeci">OperandsAndPartials(const T1 &amp;x1=0, const T2 &amp;x2=0, const T3 &amp;x3=0, const T4 &amp;x4=0, const T5 &amp;x5=0, const T6 &amp;x6=0)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00056">OperandsAndPartials.hpp:56</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_ad40923a1e408b5b54f5652e3309d0912"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#ad40923a1e408b5b54f5652e3309d0912">stan::math::OperandsAndPartials::d_x6</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x6</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00044">OperandsAndPartials.hpp:44</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView&lt; T_return_type, false, true &gt;</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2510456783a14b95a31875b3d2290fac"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2510456783a14b95a31875b3d2290fac">stan::math::OperandsAndPartials::d_x5</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x5</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00043">OperandsAndPartials.hpp:43</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a173c58a8fd989264209ca8b451effc2e"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials::d_x4</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00042">OperandsAndPartials.hpp:42</a></div></div>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">scal.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="version_8hpp_source.html">stan/math/version.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="child__type_8hpp_source.html">stan/math/prim/scal/meta/child_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2container__view_8hpp_source.html">stan/math/prim/scal/meta/container_view.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__fvar_8hpp_source.html">stan/math/prim/scal/meta/contains_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="contains__vector_8hpp_source.html">stan/math/prim/scal/meta/contains_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="error__index_8hpp_source.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2get_8hpp_source.html">stan/math/prim/scal/meta/get.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2index__type_8hpp_source.html">stan/math/prim/scal/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="is__constant_8hpp_source.html">stan/math/prim/scal/meta/is_constant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2is__fvar_8hpp_source.html">stan/math/prim/scal/meta/is_fvar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2is__var_8hpp_source.html">stan/math/prim/scal/meta/is_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="is__var__or__arithmetic_8hpp_source.html">stan/math/prim/scal/meta/is_var_or_arithmetic.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector_8hpp_source.html">stan/math/prim/scal/meta/is_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length__mvt_8hpp_source.html">stan/math/prim/scal/meta/length_mvt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="likely_8hpp_source.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="max__size_8hpp_source.html">stan/math/prim/scal/meta/max_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="max__size__mvt_8hpp_source.html">stan/math/prim/scal/meta/max_size_mvt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2partials__type_8hpp_source.html">stan/math/prim/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scalar__type__pre_8hpp_source.html">stan/math/prim/scal/meta/scalar_type_pre.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="size__of_8hpp_source.html">stan/math/prim/scal/meta/size_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2value__type_8hpp_source.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__size_8hpp_source.html">stan/math/prim/scal/err/check_consistent_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__equal_8hpp_source.html">stan/math/prim/scal/err/check_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less_8hpp_source.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__size_8hpp_source.html">stan/math/prim/scal/err/check_positive_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error__vec_8hpp_source.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="invalid__argument_8hpp_source.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="invalid__argument__vec_8hpp_source.html">stan/math/prim/scal/err/invalid_argument_vec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="out__of__range_8hpp_source.html">stan/math/prim/scal/err/out_of_range.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2abs_8hpp_source.html">stan/math/prim/scal/fun/abs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2as__bool_8hpp_source.html">stan/math/prim/scal/fun/as_bool.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2bessel__first__kind_8hpp_source.html">stan/math/prim/scal/fun/bessel_first_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2bessel__second__kind_8hpp_source.html">stan/math/prim/scal/fun/bessel_second_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binary__log__loss_8hpp_source.html">stan/math/prim/scal/fun/binary_log_loss.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp_source.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__constrain_8hpp_source.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="corr__free_8hpp_source.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2divide_8hpp_source.html">stan/math/prim/scal/fun/divide.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2exp2_8hpp_source.html">stan/math/prim/scal/fun/exp2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_f32_8hpp_source.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2falling__factorial_8hpp_source.html">stan/math/prim/scal/fun/falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2fdim_8hpp_source.html">stan/math/prim/scal/fun/fdim.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2fun_2fill_8hpp_source.html">stan/math/prim/scal/fun/fill.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__2_f1_8hpp_source.html">stan/math/prim/scal/fun/grad_2F1.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad___f32_8hpp_source.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2grad__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2ibeta_8hpp_source.html">stan/math/prim/scal/fun/ibeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__constrain_8hpp_source.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__free_8hpp_source.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2if__else_8hpp_source.html">stan/math/prim/scal/fun/if_else.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="int__step_8hpp_source.html">stan/math/prim/scal/fun/int_step.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv_8hpp_source.html">stan/math/prim/scal/fun/inv.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__cloglog_8hpp_source.html">stan/math/prim/scal/fun/inv_cloglog.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv___phi_8hpp_source.html">stan/math/prim/scal/fun/inv_Phi.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__sqrt_8hpp_source.html">stan/math/prim/scal/fun/inv_sqrt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__square_8hpp_source.html">stan/math/prim/scal/fun/inv_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inverse__softmax_8hpp_source.html">stan/math/prim/scal/fun/inverse_softmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2is__inf_8hpp_source.html">stan/math/prim/scal/fun/is_inf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2is__nan_8hpp_source.html">stan/math/prim/scal/fun/is_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2is__uninitialized_8hpp_source.html">stan/math/prim/scal/fun/is_uninitialized.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__constrain_8hpp_source.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lb__free_8hpp_source.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lmgamma_8hpp_source.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m__exp_8hpp_source.html">stan/math/prim/scal/fun/log1m_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log1m_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p__exp_8hpp_source.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log2_8hpp_source.html">stan/math/prim/scal/fun/log2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__diff__exp_8hpp_source.html">stan/math/prim/scal/fun/log_diff_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__falling__factorial_8hpp_source.html">stan/math/prim/scal/fun/log_falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__inv__logit_8hpp_source.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__mix_8hpp_source.html">stan/math/prim/scal/fun/log_mix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__rising__factorial_8hpp_source.html">stan/math/prim/scal/fun/log_rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/scal/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__and_8hpp_source.html">stan/math/prim/scal/fun/logical_and.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__eq_8hpp_source.html">stan/math/prim/scal/fun/logical_eq.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__gt_8hpp_source.html">stan/math/prim/scal/fun/logical_gt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__gte_8hpp_source.html">stan/math/prim/scal/fun/logical_gte.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__lt_8hpp_source.html">stan/math/prim/scal/fun/logical_lt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__lte_8hpp_source.html">stan/math/prim/scal/fun/logical_lte.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__negation_8hpp_source.html">stan/math/prim/scal/fun/logical_negation.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__neq_8hpp_source.html">stan/math/prim/scal/fun/logical_neq.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logical__or_8hpp_source.html">stan/math/prim/scal/fun/logical_or.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2logit_8hpp_source.html">stan/math/prim/scal/fun/logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__constrain_8hpp_source.html">stan/math/prim/scal/fun/lub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lub__free_8hpp_source.html">stan/math/prim/scal/fun/lub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">stan/math/prim/scal/fun/modified_bessel_first_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html">stan/math/prim/scal/fun/modified_bessel_second_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="modulus_8hpp_source.html">stan/math/prim/scal/fun/modulus.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2owens__t_8hpp_source.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2_phi_8hpp_source.html">stan/math/prim/scal/fun/Phi.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2_phi__approx_8hpp_source.html">stan/math/prim/scal/fun/Phi_approx.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__constrain_8hpp_source.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="positive__free_8hpp_source.html">stan/math/prim/scal/fun/positive_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2primitive__value_8hpp_source.html">stan/math/prim/scal/fun/primitive_value.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__constrain_8hpp_source.html">stan/math/prim/scal/fun/prob_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prob__free_8hpp_source.html">stan/math/prim/scal/fun/prob_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">stan/math/prim/scal/fun/promote_scalar.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html">stan/math/prim/scal/fun/promote_scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2rising__factorial_8hpp_source.html">stan/math/prim/scal/fun/rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sign_8hpp_source.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2step_8hpp_source.html">stan/math/prim/scal/fun/step.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="trigamma_8hpp_source.html">stan/math/prim/scal/fun/trigamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__constrain_8hpp_source.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ub__free_8hpp_source.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of__rec_8hpp_source.html">stan/math/prim/scal/fun/value_of_rec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="bernoulli__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/bernoulli_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="bernoulli__cdf_8hpp_source.html">stan/math/prim/scal/prob/bernoulli_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="bernoulli__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/bernoulli_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="bernoulli__log_8hpp_source.html">stan/math/prim/scal/prob/bernoulli_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="bernoulli__logit__log_8hpp_source.html">stan/math/prim/scal/prob/bernoulli_logit_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="bernoulli__rng_8hpp_source.html">stan/math/prim/scal/prob/bernoulli_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__binomial__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/beta_binomial_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__binomial__cdf_8hpp_source.html">stan/math/prim/scal/prob/beta_binomial_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__binomial__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/beta_binomial_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__binomial__log_8hpp_source.html">stan/math/prim/scal/prob/beta_binomial_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__binomial__rng_8hpp_source.html">stan/math/prim/scal/prob/beta_binomial_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/beta_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__cdf_8hpp_source.html">stan/math/prim/scal/prob/beta_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/beta_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__log_8hpp_source.html">stan/math/prim/scal/prob/beta_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="beta__rng_8hpp_source.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="binomial__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/binomial_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="binomial__cdf_8hpp_source.html">stan/math/prim/scal/prob/binomial_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="binomial__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/binomial_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="binomial__log_8hpp_source.html">stan/math/prim/scal/prob/binomial_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="binomial__logit__log_8hpp_source.html">stan/math/prim/scal/prob/binomial_logit_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="binomial__rng_8hpp_source.html">stan/math/prim/scal/prob/binomial_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cauchy__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/cauchy_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cauchy__cdf_8hpp_source.html">stan/math/prim/scal/prob/cauchy_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cauchy__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/cauchy_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cauchy__log_8hpp_source.html">stan/math/prim/scal/prob/cauchy_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cauchy__rng_8hpp_source.html">stan/math/prim/scal/prob/cauchy_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chi__square__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/chi_square_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chi__square__cdf_8hpp_source.html">stan/math/prim/scal/prob/chi_square_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chi__square__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/chi_square_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chi__square__log_8hpp_source.html">stan/math/prim/scal/prob/chi_square_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chi__square__rng_8hpp_source.html">stan/math/prim/scal/prob/chi_square_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="double__exponential__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/double_exponential_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="double__exponential__cdf_8hpp_source.html">stan/math/prim/scal/prob/double_exponential_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="double__exponential__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/double_exponential_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="double__exponential__log_8hpp_source.html">stan/math/prim/scal/prob/double_exponential_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="double__exponential__rng_8hpp_source.html">stan/math/prim/scal/prob/double_exponential_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="exp__mod__normal__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/exp_mod_normal_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="exp__mod__normal__cdf_8hpp_source.html">stan/math/prim/scal/prob/exp_mod_normal_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="exp__mod__normal__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/exp_mod_normal_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="exp__mod__normal__log_8hpp_source.html">stan/math/prim/scal/prob/exp_mod_normal_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="exp__mod__normal__rng_8hpp_source.html">stan/math/prim/scal/prob/exp_mod_normal_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="exponential__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/exponential_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="exponential__cdf_8hpp_source.html">stan/math/prim/scal/prob/exponential_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="exponential__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/exponential_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="exponential__log_8hpp_source.html">stan/math/prim/scal/prob/exponential_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="exponential__rng_8hpp_source.html">stan/math/prim/scal/prob/exponential_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="frechet__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/frechet_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="frechet__cdf_8hpp_source.html">stan/math/prim/scal/prob/frechet_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="frechet__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/frechet_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="frechet__log_8hpp_source.html">stan/math/prim/scal/prob/frechet_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="frechet__rng_8hpp_source.html">stan/math/prim/scal/prob/frechet_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gamma__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/gamma_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gamma__cdf_8hpp_source.html">stan/math/prim/scal/prob/gamma_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gamma__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/gamma_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gamma__log_8hpp_source.html">stan/math/prim/scal/prob/gamma_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gamma__rng_8hpp_source.html">stan/math/prim/scal/prob/gamma_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gumbel__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/gumbel_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gumbel__cdf_8hpp_source.html">stan/math/prim/scal/prob/gumbel_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gumbel__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/gumbel_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gumbel__log_8hpp_source.html">stan/math/prim/scal/prob/gumbel_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gumbel__rng_8hpp_source.html">stan/math/prim/scal/prob/gumbel_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="hypergeometric__log_8hpp_source.html">stan/math/prim/scal/prob/hypergeometric_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="hypergeometric__rng_8hpp_source.html">stan/math/prim/scal/prob/hypergeometric_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__chi__square__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/inv_chi_square_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__chi__square__cdf_8hpp_source.html">stan/math/prim/scal/prob/inv_chi_square_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__chi__square__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/inv_chi_square_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__chi__square__log_8hpp_source.html">stan/math/prim/scal/prob/inv_chi_square_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__chi__square__rng_8hpp_source.html">stan/math/prim/scal/prob/inv_chi_square_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__gamma__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/inv_gamma_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__gamma__cdf_8hpp_source.html">stan/math/prim/scal/prob/inv_gamma_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__gamma__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/inv_gamma_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__gamma__log_8hpp_source.html">stan/math/prim/scal/prob/inv_gamma_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="inv__gamma__rng_8hpp_source.html">stan/math/prim/scal/prob/inv_gamma_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logistic__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/logistic_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logistic__cdf_8hpp_source.html">stan/math/prim/scal/prob/logistic_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logistic__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/logistic_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logistic__log_8hpp_source.html">stan/math/prim/scal/prob/logistic_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="logistic__rng_8hpp_source.html">stan/math/prim/scal/prob/logistic_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lognormal__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/lognormal_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lognormal__cdf_8hpp_source.html">stan/math/prim/scal/prob/lognormal_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lognormal__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/lognormal_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lognormal__log_8hpp_source.html">stan/math/prim/scal/prob/lognormal_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="lognormal__rng_8hpp_source.html">stan/math/prim/scal/prob/lognormal_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__2__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_2_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__2__cdf_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_2_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__2__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_2_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__2__log_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_2_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__2__log__log_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_2_log_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__2__log__rng_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_2_log_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__2__rng_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_2_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__cdf_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__log_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="neg__binomial__rng_8hpp_source.html">stan/math/prim/scal/prob/neg_binomial_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="normal__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/normal_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="normal__cdf_8hpp_source.html">stan/math/prim/scal/prob/normal_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="normal__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/normal_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="normal__log_8hpp_source.html">stan/math/prim/scal/prob/normal_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="normal__rng_8hpp_source.html">stan/math/prim/scal/prob/normal_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="pareto__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/pareto_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="pareto__cdf_8hpp_source.html">stan/math/prim/scal/prob/pareto_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="pareto__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/pareto_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="pareto__log_8hpp_source.html">stan/math/prim/scal/prob/pareto_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="pareto__rng_8hpp_source.html">stan/math/prim/scal/prob/pareto_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="pareto__type__2__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/pareto_type_2_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="pareto__type__2__cdf_8hpp_source.html">stan/math/prim/scal/prob/pareto_type_2_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="pareto__type__2__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/pareto_type_2_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="pareto__type__2__log_8hpp_source.html">stan/math/prim/scal/prob/pareto_type_2_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="pareto__type__2__rng_8hpp_source.html">stan/math/prim/scal/prob/pareto_type_2_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="poisson__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/poisson_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="poisson__cdf_8hpp_source.html">stan/math/prim/scal/prob/poisson_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="poisson__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/poisson_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="poisson__log_8hpp_source.html">stan/math/prim/scal/prob/poisson_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="poisson__log__log_8hpp_source.html">stan/math/prim/scal/prob/poisson_log_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="poisson__log__rng_8hpp_source.html">stan/math/prim/scal/prob/poisson_log_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="poisson__rng_8hpp_source.html">stan/math/prim/scal/prob/poisson_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rayleigh__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/rayleigh_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rayleigh__cdf_8hpp_source.html">stan/math/prim/scal/prob/rayleigh_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rayleigh__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/rayleigh_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rayleigh__log_8hpp_source.html">stan/math/prim/scal/prob/rayleigh_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rayleigh__rng_8hpp_source.html">stan/math/prim/scal/prob/rayleigh_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scaled__inv__chi__square__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/scaled_inv_chi_square_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scaled__inv__chi__square__cdf_8hpp_source.html">stan/math/prim/scal/prob/scaled_inv_chi_square_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scaled__inv__chi__square__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/scaled_inv_chi_square_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scaled__inv__chi__square__log_8hpp_source.html">stan/math/prim/scal/prob/scaled_inv_chi_square_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scaled__inv__chi__square__rng_8hpp_source.html">stan/math/prim/scal/prob/scaled_inv_chi_square_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="skew__normal__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/skew_normal_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="skew__normal__cdf_8hpp_source.html">stan/math/prim/scal/prob/skew_normal_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="skew__normal__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/skew_normal_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="skew__normal__log_8hpp_source.html">stan/math/prim/scal/prob/skew_normal_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="skew__normal__rng_8hpp_source.html">stan/math/prim/scal/prob/skew_normal_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="student__t__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/student_t_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="student__t__cdf_8hpp_source.html">stan/math/prim/scal/prob/student_t_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="student__t__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/student_t_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="student__t__log_8hpp_source.html">stan/math/prim/scal/prob/student_t_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="student__t__rng_8hpp_source.html">stan/math/prim/scal/prob/student_t_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="uniform__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/uniform_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="uniform__cdf_8hpp_source.html">stan/math/prim/scal/prob/uniform_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="uniform__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/uniform_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="uniform__log_8hpp_source.html">stan/math/prim/scal/prob/uniform_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="uniform__rng_8hpp_source.html">stan/math/prim/scal/prob/uniform_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="von__mises__log_8hpp_source.html">stan/math/prim/scal/prob/von_mises_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="von__mises__rng_8hpp_source.html">stan/math/prim/scal/prob/von_mises_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="weibull__ccdf__log_8hpp_source.html">stan/math/prim/scal/prob/weibull_ccdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="weibull__cdf_8hpp_source.html">stan/math/prim/scal/prob/weibull_cdf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="weibull__cdf__log_8hpp_source.html">stan/math/prim/scal/prob/weibull_cdf_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="weibull__log_8hpp_source.html">stan/math/prim/scal/prob/weibull_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="weibull__rng_8hpp_source.html">stan/math/prim/scal/prob/weibull_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="wiener__log_8hpp_source.html">stan/math/prim/scal/prob/wiener_log.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="prim_2scal_8hpp_source.html">Go to the source code of this file.</a></p>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li>  </ul>
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+<div class="title">scal.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="prim_2scal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="version_8hpp.html">stan/math/version.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="child__type_8hpp.html">stan/math/prim/scal/meta/child_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2container__view_8hpp.html">stan/math/prim/scal/meta/container_view.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__fvar_8hpp.html">stan/math/prim/scal/meta/contains_fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__nonconstant__struct_8hpp.html">stan/math/prim/scal/meta/contains_nonconstant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__vector_8hpp.html">stan/math/prim/scal/meta/contains_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="error__index_8hpp.html">stan/math/prim/scal/meta/error_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2get_8hpp.html">stan/math/prim/scal/meta/get.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2index__type_8hpp.html">stan/math/prim/scal/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="is__constant_8hpp.html">stan/math/prim/scal/meta/is_constant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2is__fvar_8hpp.html">stan/math/prim/scal/meta/is_fvar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2is__var_8hpp.html">stan/math/prim/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="is__var__or__arithmetic_8hpp.html">stan/math/prim/scal/meta/is_var_or_arithmetic.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector_8hpp.html">stan/math/prim/scal/meta/is_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector__like_8hpp.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length__mvt_8hpp.html">stan/math/prim/scal/meta/length_mvt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="likely_8hpp.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="max__size_8hpp.html">stan/math/prim/scal/meta/max_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="max__size__mvt_8hpp.html">stan/math/prim/scal/meta/max_size_mvt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2partials__type_8hpp.html">stan/math/prim/scal/meta/partials_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2scalar__type_8hpp.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scalar__type__pre_8hpp.html">stan/math/prim/scal/meta/scalar_type_pre.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="size__of_8hpp.html">stan/math/prim/scal/meta/size_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2value__type_8hpp.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__size_8hpp.html">stan/math/prim/scal/err/check_consistent_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__equal_8hpp.html">stan/math/prim/scal/err/check_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater__or__equal_8hpp.html">stan/math/prim/scal/err/check_greater_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less_8hpp.html">stan/math/prim/scal/err/check_less.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__less__or__equal_8hpp.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__size_8hpp.html">stan/math/prim/scal/err/check_positive_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error__vec_8hpp.html">stan/math/prim/scal/err/domain_error_vec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="invalid__argument_8hpp.html">stan/math/prim/scal/err/invalid_argument.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="invalid__argument__vec_8hpp.html">stan/math/prim/scal/err/invalid_argument_vec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="out__of__range_8hpp.html">stan/math/prim/scal/err/out_of_range.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2abs_8hpp.html">stan/math/prim/scal/fun/abs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2as__bool_8hpp.html">stan/math/prim/scal/fun/as_bool.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2bessel__first__kind_8hpp.html">stan/math/prim/scal/fun/bessel_first_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2bessel__second__kind_8hpp.html">stan/math/prim/scal/fun/bessel_second_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binary__log__loss_8hpp.html">stan/math/prim/scal/fun/binary_log_loss.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2binomial__coefficient__log_8hpp.html">stan/math/prim/scal/fun/binomial_coefficient_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__constrain_8hpp.html">stan/math/prim/scal/fun/corr_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="corr__free_8hpp.html">stan/math/prim/scal/fun/corr_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2divide_8hpp.html">stan/math/prim/scal/fun/divide.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2exp2_8hpp.html">stan/math/prim/scal/fun/exp2.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_f32_8hpp.html">stan/math/prim/scal/fun/F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2falling__factorial_8hpp.html">stan/math/prim/scal/fun/falling_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2fdim_8hpp.html">stan/math/prim/scal/fun/fdim.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2fun_2fill_8hpp.html">stan/math/prim/scal/fun/fill.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__2_f1_8hpp.html">stan/math/prim/scal/fun/grad_2F1.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad___f32_8hpp.html">stan/math/prim/scal/fun/grad_F32.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2grad__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2ibeta_8hpp.html">stan/math/prim/scal/fun/ibeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__constrain_8hpp.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__free_8hpp.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2if__else_8hpp.html">stan/math/prim/scal/fun/if_else.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="int__step_8hpp.html">stan/math/prim/scal/fun/int_step.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv_8hpp.html">stan/math/prim/scal/fun/inv.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__cloglog_8hpp.html">stan/math/prim/scal/fun/inv_cloglog.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv___phi_8hpp.html">stan/math/prim/scal/fun/inv_Phi.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__sqrt_8hpp.html">stan/math/prim/scal/fun/inv_sqrt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__square_8hpp.html">stan/math/prim/scal/fun/inv_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inverse__softmax_8hpp.html">stan/math/prim/scal/fun/inverse_softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2is__inf_8hpp.html">stan/math/prim/scal/fun/is_inf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2is__nan_8hpp.html">stan/math/prim/scal/fun/is_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2is__uninitialized_8hpp.html">stan/math/prim/scal/fun/is_uninitialized.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__constrain_8hpp.html">stan/math/prim/scal/fun/lb_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lb__free_8hpp.html">stan/math/prim/scal/fun/lb_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lmgamma_8hpp.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m__exp_8hpp.html">stan/math/prim/scal/fun/log1m_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m__inv__logit_8hpp.html">stan/math/prim/scal/fun/log1m_inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p__exp_8hpp.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log2_8hpp.html">stan/math/prim/scal/fun/log2.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__diff__exp_8hpp.html">stan/math/prim/scal/fun/log_diff_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__falling__factorial_8hpp.html">stan/math/prim/scal/fun/log_falling_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__inv__logit_8hpp.html">stan/math/prim/scal/fun/log_inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__mix_8hpp.html">stan/math/prim/scal/fun/log_mix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__rising__factorial_8hpp.html">stan/math/prim/scal/fun/log_rising_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__sum__exp_8hpp.html">stan/math/prim/scal/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logical__and_8hpp.html">stan/math/prim/scal/fun/logical_and.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logical__eq_8hpp.html">stan/math/prim/scal/fun/logical_eq.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logical__gt_8hpp.html">stan/math/prim/scal/fun/logical_gt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logical__gte_8hpp.html">stan/math/prim/scal/fun/logical_gte.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logical__lt_8hpp.html">stan/math/prim/scal/fun/logical_lt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logical__lte_8hpp.html">stan/math/prim/scal/fun/logical_lte.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logical__negation_8hpp.html">stan/math/prim/scal/fun/logical_negation.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logical__neq_8hpp.html">stan/math/prim/scal/fun/logical_neq.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logical__or_8hpp.html">stan/math/prim/scal/fun/logical_or.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2logit_8hpp.html">stan/math/prim/scal/fun/logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lub__constrain_8hpp.html">stan/math/prim/scal/fun/lub_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lub__free_8hpp.html">stan/math/prim/scal/fun/lub_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp.html">stan/math/prim/scal/fun/modified_bessel_first_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2modified__bessel__second__kind_8hpp.html">stan/math/prim/scal/fun/modified_bessel_second_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="modulus_8hpp.html">stan/math/prim/scal/fun/modulus.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2owens__t_8hpp.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2_phi_8hpp.html">stan/math/prim/scal/fun/Phi.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2_phi__approx_8hpp.html">stan/math/prim/scal/fun/Phi_approx.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__constrain_8hpp.html">stan/math/prim/scal/fun/positive_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="positive__free_8hpp.html">stan/math/prim/scal/fun/positive_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2primitive__value_8hpp.html">stan/math/prim/scal/fun/primitive_value.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prob__constrain_8hpp.html">stan/math/prim/scal/fun/prob_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prob__free_8hpp.html">stan/math/prim/scal/fun/prob_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2fun_2promote__scalar_8hpp.html">stan/math/prim/scal/fun/promote_scalar.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2fun_2promote__scalar__type_8hpp.html">stan/math/prim/scal/fun/promote_scalar_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2rising__factorial_8hpp.html">stan/math/prim/scal/fun/rising_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="sign_8hpp.html">stan/math/prim/scal/fun/sign.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2step_8hpp.html">stan/math/prim/scal/fun/step.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="trigamma_8hpp.html">stan/math/prim/scal/fun/trigamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__constrain_8hpp.html">stan/math/prim/scal/fun/ub_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ub__free_8hpp.html">stan/math/prim/scal/fun/ub_free.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of__rec_8hpp.html">stan/math/prim/scal/fun/value_of_rec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="bernoulli__ccdf__log_8hpp.html">stan/math/prim/scal/prob/bernoulli_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="bernoulli__cdf_8hpp.html">stan/math/prim/scal/prob/bernoulli_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="bernoulli__cdf__log_8hpp.html">stan/math/prim/scal/prob/bernoulli_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="bernoulli__log_8hpp.html">stan/math/prim/scal/prob/bernoulli_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="bernoulli__logit__log_8hpp.html">stan/math/prim/scal/prob/bernoulli_logit_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="bernoulli__rng_8hpp.html">stan/math/prim/scal/prob/bernoulli_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__binomial__ccdf__log_8hpp.html">stan/math/prim/scal/prob/beta_binomial_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__binomial__cdf_8hpp.html">stan/math/prim/scal/prob/beta_binomial_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__binomial__cdf__log_8hpp.html">stan/math/prim/scal/prob/beta_binomial_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__binomial__log_8hpp.html">stan/math/prim/scal/prob/beta_binomial_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__binomial__rng_8hpp.html">stan/math/prim/scal/prob/beta_binomial_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__ccdf__log_8hpp.html">stan/math/prim/scal/prob/beta_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__cdf_8hpp.html">stan/math/prim/scal/prob/beta_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__cdf__log_8hpp.html">stan/math/prim/scal/prob/beta_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__log_8hpp.html">stan/math/prim/scal/prob/beta_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="beta__rng_8hpp.html">stan/math/prim/scal/prob/beta_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="binomial__ccdf__log_8hpp.html">stan/math/prim/scal/prob/binomial_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="binomial__cdf_8hpp.html">stan/math/prim/scal/prob/binomial_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="binomial__cdf__log_8hpp.html">stan/math/prim/scal/prob/binomial_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="binomial__log_8hpp.html">stan/math/prim/scal/prob/binomial_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="binomial__logit__log_8hpp.html">stan/math/prim/scal/prob/binomial_logit_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="binomial__rng_8hpp.html">stan/math/prim/scal/prob/binomial_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cauchy__ccdf__log_8hpp.html">stan/math/prim/scal/prob/cauchy_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cauchy__cdf_8hpp.html">stan/math/prim/scal/prob/cauchy_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cauchy__cdf__log_8hpp.html">stan/math/prim/scal/prob/cauchy_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cauchy__log_8hpp.html">stan/math/prim/scal/prob/cauchy_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cauchy__rng_8hpp.html">stan/math/prim/scal/prob/cauchy_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chi__square__ccdf__log_8hpp.html">stan/math/prim/scal/prob/chi_square_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chi__square__cdf_8hpp.html">stan/math/prim/scal/prob/chi_square_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chi__square__cdf__log_8hpp.html">stan/math/prim/scal/prob/chi_square_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chi__square__log_8hpp.html">stan/math/prim/scal/prob/chi_square_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chi__square__rng_8hpp.html">stan/math/prim/scal/prob/chi_square_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="double__exponential__ccdf__log_8hpp.html">stan/math/prim/scal/prob/double_exponential_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="double__exponential__cdf_8hpp.html">stan/math/prim/scal/prob/double_exponential_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="double__exponential__cdf__log_8hpp.html">stan/math/prim/scal/prob/double_exponential_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="double__exponential__log_8hpp.html">stan/math/prim/scal/prob/double_exponential_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="double__exponential__rng_8hpp.html">stan/math/prim/scal/prob/double_exponential_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="exp__mod__normal__ccdf__log_8hpp.html">stan/math/prim/scal/prob/exp_mod_normal_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="exp__mod__normal__cdf_8hpp.html">stan/math/prim/scal/prob/exp_mod_normal_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="exp__mod__normal__cdf__log_8hpp.html">stan/math/prim/scal/prob/exp_mod_normal_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="exp__mod__normal__log_8hpp.html">stan/math/prim/scal/prob/exp_mod_normal_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="exp__mod__normal__rng_8hpp.html">stan/math/prim/scal/prob/exp_mod_normal_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="exponential__ccdf__log_8hpp.html">stan/math/prim/scal/prob/exponential_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="exponential__cdf_8hpp.html">stan/math/prim/scal/prob/exponential_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="exponential__cdf__log_8hpp.html">stan/math/prim/scal/prob/exponential_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="exponential__log_8hpp.html">stan/math/prim/scal/prob/exponential_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="exponential__rng_8hpp.html">stan/math/prim/scal/prob/exponential_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="frechet__ccdf__log_8hpp.html">stan/math/prim/scal/prob/frechet_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="frechet__cdf_8hpp.html">stan/math/prim/scal/prob/frechet_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="frechet__cdf__log_8hpp.html">stan/math/prim/scal/prob/frechet_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="frechet__log_8hpp.html">stan/math/prim/scal/prob/frechet_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="frechet__rng_8hpp.html">stan/math/prim/scal/prob/frechet_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gamma__ccdf__log_8hpp.html">stan/math/prim/scal/prob/gamma_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gamma__cdf_8hpp.html">stan/math/prim/scal/prob/gamma_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gamma__cdf__log_8hpp.html">stan/math/prim/scal/prob/gamma_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gamma__log_8hpp.html">stan/math/prim/scal/prob/gamma_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gamma__rng_8hpp.html">stan/math/prim/scal/prob/gamma_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gumbel__ccdf__log_8hpp.html">stan/math/prim/scal/prob/gumbel_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gumbel__cdf_8hpp.html">stan/math/prim/scal/prob/gumbel_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gumbel__cdf__log_8hpp.html">stan/math/prim/scal/prob/gumbel_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gumbel__log_8hpp.html">stan/math/prim/scal/prob/gumbel_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="gumbel__rng_8hpp.html">stan/math/prim/scal/prob/gumbel_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="hypergeometric__log_8hpp.html">stan/math/prim/scal/prob/hypergeometric_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="hypergeometric__rng_8hpp.html">stan/math/prim/scal/prob/hypergeometric_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inv__chi__square__ccdf__log_8hpp.html">stan/math/prim/scal/prob/inv_chi_square_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inv__chi__square__cdf_8hpp.html">stan/math/prim/scal/prob/inv_chi_square_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inv__chi__square__cdf__log_8hpp.html">stan/math/prim/scal/prob/inv_chi_square_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inv__chi__square__log_8hpp.html">stan/math/prim/scal/prob/inv_chi_square_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inv__chi__square__rng_8hpp.html">stan/math/prim/scal/prob/inv_chi_square_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inv__gamma__ccdf__log_8hpp.html">stan/math/prim/scal/prob/inv_gamma_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inv__gamma__cdf_8hpp.html">stan/math/prim/scal/prob/inv_gamma_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inv__gamma__cdf__log_8hpp.html">stan/math/prim/scal/prob/inv_gamma_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inv__gamma__log_8hpp.html">stan/math/prim/scal/prob/inv_gamma_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="inv__gamma__rng_8hpp.html">stan/math/prim/scal/prob/inv_gamma_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logistic__ccdf__log_8hpp.html">stan/math/prim/scal/prob/logistic_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logistic__cdf_8hpp.html">stan/math/prim/scal/prob/logistic_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logistic__cdf__log_8hpp.html">stan/math/prim/scal/prob/logistic_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logistic__log_8hpp.html">stan/math/prim/scal/prob/logistic_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="logistic__rng_8hpp.html">stan/math/prim/scal/prob/logistic_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lognormal__ccdf__log_8hpp.html">stan/math/prim/scal/prob/lognormal_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lognormal__cdf_8hpp.html">stan/math/prim/scal/prob/lognormal_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="lognormal__cdf__log_8hpp.html">stan/math/prim/scal/prob/lognormal_cdf_log.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="neg__binomial__2__cdf_8hpp.html">stan/math/prim/scal/prob/neg_binomial_2_cdf.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="neg__binomial__2__log_8hpp.html">stan/math/prim/scal/prob/neg_binomial_2_log.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="neg__binomial__2__rng_8hpp.html">stan/math/prim/scal/prob/neg_binomial_2_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="neg__binomial__ccdf__log_8hpp.html">stan/math/prim/scal/prob/neg_binomial_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="neg__binomial__cdf_8hpp.html">stan/math/prim/scal/prob/neg_binomial_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="neg__binomial__cdf__log_8hpp.html">stan/math/prim/scal/prob/neg_binomial_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="neg__binomial__log_8hpp.html">stan/math/prim/scal/prob/neg_binomial_log.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="normal__cdf_8hpp.html">stan/math/prim/scal/prob/normal_cdf.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="pareto__ccdf__log_8hpp.html">stan/math/prim/scal/prob/pareto_ccdf_log.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="pareto__cdf__log_8hpp.html">stan/math/prim/scal/prob/pareto_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="pareto__log_8hpp.html">stan/math/prim/scal/prob/pareto_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="pareto__rng_8hpp.html">stan/math/prim/scal/prob/pareto_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="pareto__type__2__ccdf__log_8hpp.html">stan/math/prim/scal/prob/pareto_type_2_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="pareto__type__2__cdf_8hpp.html">stan/math/prim/scal/prob/pareto_type_2_cdf.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="pareto__type__2__log_8hpp.html">stan/math/prim/scal/prob/pareto_type_2_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="pareto__type__2__rng_8hpp.html">stan/math/prim/scal/prob/pareto_type_2_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="poisson__ccdf__log_8hpp.html">stan/math/prim/scal/prob/poisson_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="poisson__cdf_8hpp.html">stan/math/prim/scal/prob/poisson_cdf.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="poisson__log__log_8hpp.html">stan/math/prim/scal/prob/poisson_log_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="poisson__log__rng_8hpp.html">stan/math/prim/scal/prob/poisson_log_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="poisson__rng_8hpp.html">stan/math/prim/scal/prob/poisson_rng.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rayleigh__cdf__log_8hpp.html">stan/math/prim/scal/prob/rayleigh_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rayleigh__log_8hpp.html">stan/math/prim/scal/prob/rayleigh_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rayleigh__rng_8hpp.html">stan/math/prim/scal/prob/rayleigh_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scaled__inv__chi__square__ccdf__log_8hpp.html">stan/math/prim/scal/prob/scaled_inv_chi_square_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scaled__inv__chi__square__cdf_8hpp.html">stan/math/prim/scal/prob/scaled_inv_chi_square_cdf.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scaled__inv__chi__square__log_8hpp.html">stan/math/prim/scal/prob/scaled_inv_chi_square_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scaled__inv__chi__square__rng_8hpp.html">stan/math/prim/scal/prob/scaled_inv_chi_square_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="skew__normal__ccdf__log_8hpp.html">stan/math/prim/scal/prob/skew_normal_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="skew__normal__cdf_8hpp.html">stan/math/prim/scal/prob/skew_normal_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="skew__normal__cdf__log_8hpp.html">stan/math/prim/scal/prob/skew_normal_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="skew__normal__log_8hpp.html">stan/math/prim/scal/prob/skew_normal_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="skew__normal__rng_8hpp.html">stan/math/prim/scal/prob/skew_normal_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="student__t__ccdf__log_8hpp.html">stan/math/prim/scal/prob/student_t_ccdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="student__t__cdf_8hpp.html">stan/math/prim/scal/prob/student_t_cdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="student__t__cdf__log_8hpp.html">stan/math/prim/scal/prob/student_t_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="student__t__log_8hpp.html">stan/math/prim/scal/prob/student_t_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="student__t__rng_8hpp.html">stan/math/prim/scal/prob/student_t_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="uniform__ccdf__log_8hpp.html">stan/math/prim/scal/prob/uniform_ccdf_log.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="uniform__log_8hpp.html">stan/math/prim/scal/prob/uniform_log.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="von__mises__log_8hpp.html">stan/math/prim/scal/prob/von_mises_log.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="weibull__ccdf__log_8hpp.html">stan/math/prim/scal/prob/weibull_ccdf_log.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="weibull__cdf__log_8hpp.html">stan/math/prim/scal/prob/weibull_cdf_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="weibull__log_8hpp.html">stan/math/prim/scal/prob/weibull_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="weibull__rng_8hpp.html">stan/math/prim/scal/prob/weibull_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="wiener__log_8hpp.html">stan/math/prim/scal/prob/wiener_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;</div>
+<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
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+<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="ub__constrain_8hpp_html"><div class="ttname"><a href="ub__constrain_8hpp.html">ub_constrain.hpp</a></div></div>
+<div class="ttc" id="inv__chi__square__cdf__log_8hpp_html"><div class="ttname"><a href="inv__chi__square__cdf__log_8hpp.html">inv_chi_square_cdf_log.hpp</a></div></div>
+<div class="ttc" id="pareto__type__2__cdf_8hpp_html"><div class="ttname"><a href="pareto__type__2__cdf_8hpp.html">pareto_type_2_cdf.hpp</a></div></div>
+<div class="ttc" id="inv__chi__square__ccdf__log_8hpp_html"><div class="ttname"><a href="inv__chi__square__ccdf__log_8hpp.html">inv_chi_square_ccdf_log.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__diff__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__diff__exp_8hpp.html">log_diff_exp.hpp</a></div></div>
+<div class="ttc" id="binomial__cdf__log_8hpp_html"><div class="ttname"><a href="binomial__cdf__log_8hpp.html">binomial_cdf_log.hpp</a></div></div>
+<div class="ttc" id="beta__log_8hpp_html"><div class="ttname"><a href="beta__log_8hpp.html">beta_log.hpp</a></div></div>
+<div class="ttc" id="modulus_8hpp_html"><div class="ttname"><a href="modulus_8hpp.html">modulus.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="beta__binomial__log_8hpp_html"><div class="ttname"><a href="beta__binomial__log_8hpp.html">beta_binomial_log.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2falling__factorial_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2falling__factorial_8hpp.html">falling_factorial.hpp</a></div></div>
+<div class="ttc" id="skew__normal__cdf__log_8hpp_html"><div class="ttname"><a href="skew__normal__cdf__log_8hpp.html">skew_normal_cdf_log.hpp</a></div></div>
+<div class="ttc" id="neg__binomial__2__rng_8hpp_html"><div class="ttname"><a href="neg__binomial__2__rng_8hpp.html">neg_binomial_2_rng.hpp</a></div></div>
+<div class="ttc" id="poisson__rng_8hpp_html"><div class="ttname"><a href="poisson__rng_8hpp.html">poisson_rng.hpp</a></div></div>
+<div class="ttc" id="rayleigh__rng_8hpp_html"><div class="ttname"><a href="rayleigh__rng_8hpp.html">rayleigh_rng.hpp</a></div></div>
+<div class="ttc" id="frechet__ccdf__log_8hpp_html"><div class="ttname"><a href="frechet__ccdf__log_8hpp.html">frechet_ccdf_log.hpp</a></div></div>
+<div class="ttc" id="poisson__log_8hpp_html"><div class="ttname"><a href="poisson__log_8hpp.html">poisson_log.hpp</a></div></div>
+<div class="ttc" id="scal_2fun_2fill_8hpp_html"><div class="ttname"><a href="scal_2fun_2fill_8hpp.html">fill.hpp</a></div></div>
+<div class="ttc" id="max__size__mvt_8hpp_html"><div class="ttname"><a href="max__size__mvt_8hpp.html">max_size_mvt.hpp</a></div></div>
+<div class="ttc" id="lognormal__log_8hpp_html"><div class="ttname"><a href="lognormal__log_8hpp.html">lognormal_log.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="vari_8hpp_source.html">stan/math/rev/core/vari.hpp</a>&gt;</code><br />
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+<tr class="memdesc:a0611cecb5356e187818c1901134c7665"><td class="mdescLeft">&#160;</td><td class="mdescRight">Prints the auto-dif variable stack.  <a href="namespacestan_1_1math.html#a0611cecb5356e187818c1901134c7665">More...</a><br /></td></tr>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a7a0b9c35bc619ea5fbac226e985bbc1d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a7a0b9c35bc619ea5fbac226e985bbc1d"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7a0b9c35bc619ea5fbac226e985bbc1d">stan::math::prob_constrain</a> (const T x)</td></tr>
+<tr class="memdesc:a7a0b9c35bc619ea5fbac226e985bbc1d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a probability value constrained to fall between 0 and 1 (inclusive) for the specified free scalar.  <a href="namespacestan_1_1math.html#a7a0b9c35bc619ea5fbac226e985bbc1d">More...</a><br /></td></tr>
+<tr class="separator:a7a0b9c35bc619ea5fbac226e985bbc1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a3b5c8822124337e5d000cfa60046c5fa"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3b5c8822124337e5d000cfa60046c5fa">stan::math::prob_constrain</a> (const T x, T &amp;lp)</td></tr>
+<tr class="memdesc:a3b5c8822124337e5d000cfa60046c5fa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a probability value constrained to fall between 0 and 1 (inclusive) for the specified free scalar and increment the specified log probability reference with the log absolute Jacobian determinant of the transform.  <a href="namespacestan_1_1math.html#a3b5c8822124337e5d000cfa60046c5fa">More...</a><br /></td></tr>
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+<a href="prob__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_PROB_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_PROB_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">inv_logit</a>(x);</div>
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+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__logit_8hpp.html">inv_logit.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2logit_8hpp_source.html">stan/math/prim/scal/fun/logit.hpp</a>&gt;</code><br />
+</div>
+<p><a href="prob__free_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a533afff719fe3e21bf53d2fa53d2fbe3"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a533afff719fe3e21bf53d2fa53d2fbe3">stan::math::prob_free</a> (const T y)</td></tr>
+<tr class="memdesc:a533afff719fe3e21bf53d2fa53d2fbe3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the free scalar that when transformed to a probability produces the specified scalar.  <a href="namespacestan_1_1math.html#a533afff719fe3e21bf53d2fa53d2fbe3">More...</a><br /></td></tr>
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+<a href="prob__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_PROB_FREE_HPP</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2logit_8hpp.html">logit.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="prod_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a1649a895ec6e79097d5645a3f8b8a1e6"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a1649a895ec6e79097d5645a3f8b8a1e6"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1649a895ec6e79097d5645a3f8b8a1e6">stan::math::prod</a> (const std::vector&lt; T &gt; &amp;v)</td></tr>
+<tr class="memdesc:a1649a895ec6e79097d5645a3f8b8a1e6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the product of the coefficients of the specified standard vector.  <a href="namespacestan_1_1math.html#a1649a895ec6e79097d5645a3f8b8a1e6">More...</a><br /></td></tr>
+<tr class="separator:a1649a895ec6e79097d5645a3f8b8a1e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad7082de8742d87f7a0fa0842207341c9"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ad7082de8742d87f7a0fa0842207341c9"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad7082de8742d87f7a0fa0842207341c9">stan::math::prod</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;v)</td></tr>
+<tr class="memdesc:ad7082de8742d87f7a0fa0842207341c9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the product of the coefficients of the specified column vector.  <a href="namespacestan_1_1math.html#ad7082de8742d87f7a0fa0842207341c9">More...</a><br /></td></tr>
+<tr class="separator:ad7082de8742d87f7a0fa0842207341c9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    }</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1649a895ec6e79097d5645a3f8b8a1e6"><div class="ttname"><a href="namespacestan_1_1math.html#a1649a895ec6e79097d5645a3f8b8a1e6">stan::math::prod</a></div><div class="ttdeci">T prod(const std::vector&lt; T &gt; &amp;v)</div><div class="ttdoc">Returns the product of the coefficients of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="prod_8hpp_source.html#l00017">prod.hpp:17</a></div></div>
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+<div class="title">promote_common.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="common__type_8hpp_source.html">stan/math/prim/mat/fun/common_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="promoter_8hpp_source.html">stan/math/prim/mat/fun/promoter.hpp</a>&gt;</code><br />
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+<p><a href="promote__common_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a300cf63dd3332cff2161fdc32aec4026"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , typename F &gt; </td></tr>
+<tr class="memitem:a300cf63dd3332cff2161fdc32aec4026"><td class="memTemplItemLeft" align="right" valign="top">common_type&lt; T1, T2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a300cf63dd3332cff2161fdc32aec4026">stan::math::promote_common</a> (const F &amp;u)</td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="promoter_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html">stan::math::promoter&lt; T, T &gt;</a></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">promoter.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="promoter_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_PROMOTER_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_PROMOTER_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="comment">// from input type F to output type T</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="comment">// scalar, F != T  (base template)</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F, <span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter.html">   14</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1promoter.html">promoter</a> {</div>
+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter.html#ab3df6e7131a09943826d1b995142d7d6">   15</a></span>&#160;      <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="structstan_1_1math_1_1promoter.html#ab3df6e7131a09943826d1b995142d7d6">promote</a>(<span class="keyword">const</span> F&amp; u, T&amp; t) {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        t = u;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      }</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter.html#a892e350b17a5930b9de4a9ff05eddc39">   18</a></span>&#160;      <span class="keyword">inline</span> <span class="keyword">static</span> T <a class="code" href="structstan_1_1math_1_1promoter.html#a892e350b17a5930b9de4a9ff05eddc39">promote_to</a>(<span class="keyword">const</span> F&amp; u) {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        <span class="keywordflow">return</span> u;</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="comment">// scalar, F == T</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html">   24</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1promoter.html">promoter</a>&lt;T, T&gt; {</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html#ac8db3f3f3410059f5cae51383f1b38c2">   25</a></span>&#160;      <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html#ac8db3f3f3410059f5cae51383f1b38c2">promote</a>(<span class="keyword">const</span> T&amp; u, T&amp; t) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        t = u;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      }</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        <span class="keywordflow">return</span> u;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      }</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    };</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F, <span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html">   35</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1promoter.html">promoter</a>&lt;<a class="code" href="namespacestd.html">std</a>::vector&lt;F&gt;, std::vector&lt;T&gt; &gt; {</div>
+<div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a357d5eb63ba812437c51640670cef745">   36</a></span>&#160;      <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a357d5eb63ba812437c51640670cef745">promote</a>(<span class="keyword">const</span> std::vector&lt;F&gt;&amp; u,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                          std::vector&lt;T&gt;&amp; t) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        t.resize(u.size());</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; u.size(); ++i)</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;          <a class="code" href="structstan_1_1math_1_1promoter.html">promoter&lt;F, T&gt;::promote</a>(u[i], t[i]);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">inline</span> <span class="keyword">static</span> std::vector&lt;T&gt;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a3da744179c9bbe7fe2ac326a4dcba352">   43</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a3da744179c9bbe7fe2ac326a4dcba352">promote_to</a>(<span class="keyword">const</span> std::vector&lt;F&gt;&amp; u) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        std::vector&lt;T&gt; t;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <a class="code" href="structstan_1_1math_1_1promoter.html">promoter&lt;std::vector&lt;F&gt;</a>, std::vector&lt;T&gt; &gt;<a class="code" href="structstan_1_1math_1_1promoter.html#ab3df6e7131a09943826d1b995142d7d6">::promote</a>(u, t);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">return</span> t;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      }</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    };</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="comment">// std::vector, F == T</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html">   51</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1promoter.html">promoter</a>&lt;<a class="code" href="namespacestd.html">std</a>::vector&lt;T&gt;, std::vector&lt;T&gt; &gt; {</div>
+<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#adb1706254fcd6734bf986e2cd01b093f">   52</a></span>&#160;      <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#adb1706254fcd6734bf986e2cd01b093f">promote</a>(<span class="keyword">const</span> std::vector&lt;T&gt;&amp; u,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                          std::vector&lt;T&gt;&amp; t) {</div>
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+<div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a099437577ccd004d58c5b2ee3e5acf06">   56</a></span>&#160;      <span class="keyword">inline</span> <span class="keyword">static</span> std::vector&lt;T&gt; <a class="code" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a099437577ccd004d58c5b2ee3e5acf06">promote_to</a>(<span class="keyword">const</span> std::vector&lt;T&gt;&amp; u) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordflow">return</span> u;</div>
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+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    <span class="comment">// Eigen::Matrix, F != T</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F, <span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html">   63</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1promoter.html">promoter</a>&lt;<a class="code" href="namespace_eigen.html">Eigen</a>::Matrix&lt;F, R, C&gt;, Eigen::Matrix&lt;T, R, C&gt; &gt; {</div>
+<div class="line"><a name="l00064"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html#a9964d13b9f2f05efca2b21ac165210d8">   64</a></span>&#160;      <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html#a9964d13b9f2f05efca2b21ac165210d8">promote</a>(<span class="keyword">const</span> Eigen::Matrix&lt;F, R, C&gt;&amp; u,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                          Eigen::Matrix&lt;T, R, C&gt;&amp; t) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        t.resize(u.rows(), u.cols());</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; u.size(); ++i)</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;          <a class="code" href="structstan_1_1math_1_1promoter.html">promoter&lt;F, T&gt;::promote</a>(u(i), t(i));</div>
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+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4_html_adb1706254fcd6734bf986e2cd01b093f"><div class="ttname"><a href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#adb1706254fcd6734bf986e2cd01b093f">stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;::promote</a></div><div class="ttdeci">static void promote(const std::vector&lt; T &gt; &amp;u, std::vector&lt; T &gt; &amp;t)</div><div class="ttdef"><b>Definition:</b> <a href="promoter_8hpp_source.html#l00052">promoter.hpp:52</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4_html_a357d5eb63ba812437c51640670cef745"><div class="ttname"><a href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a357d5eb63ba812437c51640670cef745">stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;::promote</a></div><div class="ttdeci">static void promote(const std::vector&lt; F &gt; &amp;u, std::vector&lt; T &gt; &amp;t)</div><div class="ttdef"><b>Definition:</b> <a href="promoter_8hpp_source.html#l00036">promoter.hpp:36</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c_html_a525fc8cb91f5c4c22195cdb004b1eb0f"><div class="ttname"><a href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html#a525fc8cb91f5c4c22195cdb004b1eb0f">stan::math::promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;::promote</a></div><div class="ttdeci">static void promote(const Eigen::Matrix&lt; T, R, C &gt; &amp;u, Eigen::Matrix&lt; T, R, C &gt; &amp;t)</div><div class="ttdef"><b>Definition:</b> <a href="promoter_8hpp_source.html#l00081">promoter.hpp:81</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c_html_a9ff5ceffa5a1a568b750eb2f676d1da9"><div class="ttname"><a href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html#a9ff5ceffa5a1a568b750eb2f676d1da9">stan::math::promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;::promote_to</a></div><div class="ttdeci">static Eigen::Matrix&lt; T, R, C &gt; promote_to(const Eigen::Matrix&lt; T, R, C &gt; &amp;u)</div><div class="ttdef"><b>Definition:</b> <a href="promoter_8hpp_source.html#l00086">promoter.hpp:86</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1promoter_html_a892e350b17a5930b9de4a9ff05eddc39"><div class="ttname"><a href="structstan_1_1math_1_1promoter.html#a892e350b17a5930b9de4a9ff05eddc39">stan::math::promoter::promote_to</a></div><div class="ttdeci">static T promote_to(const F &amp;u)</div><div class="ttdef"><b>Definition:</b> <a href="promoter_8hpp_source.html#l00018">promoter.hpp:18</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4_html_a3da744179c9bbe7fe2ac326a4dcba352"><div class="ttname"><a href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a3da744179c9bbe7fe2ac326a4dcba352">stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;::promote_to</a></div><div class="ttdeci">static std::vector&lt; T &gt; promote_to(const std::vector&lt; F &gt; &amp;u)</div><div class="ttdef"><b>Definition:</b> <a href="promoter_8hpp_source.html#l00043">promoter.hpp:43</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promoter_html"><div class="ttname"><a href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a></div><div class="ttdef"><b>Definition:</b> <a href="promoter_8hpp_source.html#l00014">promoter.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4_html_a099437577ccd004d58c5b2ee3e5acf06"><div class="ttname"><a href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a099437577ccd004d58c5b2ee3e5acf06">stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;::promote_to</a></div><div class="ttdeci">static std::vector&lt; T &gt; promote_to(const std::vector&lt; T &gt; &amp;u)</div><div class="ttdef"><b>Definition:</b> <a href="promoter_8hpp_source.html#l00056">promoter.hpp:56</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__equal_8hpp_source.html">stan/math/prim/scal/err/check_equal.hpp</a>&gt;</code><br />
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+<tr class="memitem:a08776bc70d746cd9dfa0f049f1832fdf"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a08776bc70d746cd9dfa0f049f1832fdf">stan::math::quad_form_diag</a> (const Eigen::Matrix&lt; T1, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;mat, const Eigen::Matrix&lt; T2, R, C &gt; &amp;vec)</td></tr>
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+<div class="title">quad_form_diag.hpp</div>  </div>
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+<a href="quad__form__diag_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_QUAD_FORM_DIAG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_QUAD_FORM_DIAG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__vector_8hpp.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</span></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a08776bc70d746cd9dfa0f049f1832fdf"><div class="ttname"><a href="namespacestan_1_1math.html#a08776bc70d746cd9dfa0f049f1832fdf">stan::math::quad_form_diag</a></div><div class="ttdeci">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, Eigen::Dynamic, Eigen::Dynamic &gt; quad_form_diag(const Eigen::Matrix&lt; T1, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;mat, const Eigen::Matrix&lt; T2, R, C &gt; &amp;vec)</div><div class="ttdef"><b>Definition:</b> <a href="quad__form__diag_8hpp_source.html#l00017">quad_form_diag.hpp:17</a></div></div>
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+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__range_8hpp_source.html">stan/math/prim/mat/err/check_range.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="rank_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a216dec01fa6146c53b9ec51c5e9dda8d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a216dec01fa6146c53b9ec51c5e9dda8d"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a216dec01fa6146c53b9ec51c5e9dda8d">stan::math::rank</a> (const std::vector&lt; T &gt; &amp;v, int s)</td></tr>
+<tr class="memdesc:a216dec01fa6146c53b9ec51c5e9dda8d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the number of components of v less than v[s].  <a href="namespacestan_1_1math.html#a216dec01fa6146c53b9ec51c5e9dda8d">More...</a><br /></td></tr>
+<tr class="separator:a216dec01fa6146c53b9ec51c5e9dda8d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4b444aaebeed885fecdbce67ae69498c"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a4b444aaebeed885fecdbce67ae69498c"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4b444aaebeed885fecdbce67ae69498c">stan::math::rank</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;v, int s)</td></tr>
+<tr class="memdesc:a4b444aaebeed885fecdbce67ae69498c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the number of components of v less than v[s].  <a href="namespacestan_1_1math.html#a4b444aaebeed885fecdbce67ae69498c">More...</a><br /></td></tr>
+<tr class="separator:a4b444aaebeed885fecdbce67ae69498c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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diff --git a/doc/api/html/rank_8hpp_source.html b/doc/api/html/rank_8hpp_source.html
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+<div class="title">rank.hpp</div>  </div>
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+<a href="rank_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_RANK_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_RANK_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__range_8hpp.html">stan/math/prim/mat/err/check_range.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a216dec01fa6146c53b9ec51c5e9dda8d">   20</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#a216dec01fa6146c53b9ec51c5e9dda8d">rank</a>(<span class="keyword">const</span> std::vector&lt;T&gt; &amp; v, <span class="keywordtype">int</span> s) {</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a216dec01fa6146c53b9ec51c5e9dda8d"><div class="ttname"><a href="namespacestan_1_1math.html#a216dec01fa6146c53b9ec51c5e9dda8d">stan::math::rank</a></div><div class="ttdeci">int rank(const std::vector&lt; T &gt; &amp;v, int s)</div><div class="ttdoc">Return the number of components of v less than v[s]. </div><div class="ttdef"><b>Definition:</b> <a href="rank_8hpp_source.html#l00020">rank.hpp:20</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="check__range_8hpp_html"><div class="ttname"><a href="check__range_8hpp.html">check_range.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/uniform_real_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="rayleigh__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a3ca6e149995234eee4801ea4090b34cd"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale &gt; </td></tr>
+<tr class="memitem:a3ca6e149995234eee4801ea4090b34cd"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3ca6e149995234eee4801ea4090b34cd">stan::math::rayleigh_ccdf_log</a> (const T_y &amp;y, const T_scale &amp;sigma)</td></tr>
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+<div class="title">rayleigh_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rayleigh__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_real_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_scale&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3ca6e149995234eee4801ea4090b34cd">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a3ca6e149995234eee4801ea4090b34cd">rayleigh_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::rayleigh_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> ccdf_log;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
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+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_scale&gt;</a> operands_and_partials(y, sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_scale&gt;</a> inv_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        inv_sigma[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
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+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> T_partials_return y_sqr = y_dbl * y_dbl;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return inv_sigma_sqr = inv_sigma[n] * inv_sigma[n];</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;false, T_y, T_scale&gt;::value</a>)</div>
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+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
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+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += y_sqr * inv_sigma_sqr</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            * inv_sigma[n];</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(ccdf_log);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;}</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3ca6e149995234eee4801ea4090b34cd"><div class="ttname"><a href="namespacestan_1_1math.html#a3ca6e149995234eee4801ea4090b34cd">stan::math::rayleigh_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_scale &gt;::type rayleigh_ccdf_log(const T_y &amp;y, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="rayleigh__ccdf__log_8hpp_source.html#l00027">rayleigh_ccdf_log.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <i>&copy; 2011&ndash;2016,
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+<div class="textblock"><code>#include &lt;boost/random/uniform_real_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="rayleigh__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:abca0bc173ef3459a1eac46296bcd83bc"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale &gt; </td></tr>
+<tr class="memitem:abca0bc173ef3459a1eac46296bcd83bc"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abca0bc173ef3459a1eac46296bcd83bc">stan::math::rayleigh_cdf</a> (const T_y &amp;y, const T_scale &amp;sigma)</td></tr>
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+<div class="title">rayleigh_cdf.hpp</div>  </div>
+</div><!--header-->
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+<a href="rayleigh__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_real_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale&gt;</div>
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+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#abca0bc173ef3459a1eac46296bcd83bc">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#abca0bc173ef3459a1eac46296bcd83bc">rayleigh_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_scale&gt;::type</a></div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      T_partials_return cdf(1.0);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordflow">return</span> cdf;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_scale&gt;</a> operands_and_partials(y, sigma);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_scale&gt;</a> inv_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        inv_sigma[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return y_sqr = y_dbl * y_dbl;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> T_partials_return inv_sigma_sqr = inv_sigma[n] * inv_sigma[n];</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keyword">const</span> T_partials_return exp_val = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-0.5 * y_sqr * inv_sigma_sqr);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;false, T_y, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          cdf *= (1.0 - exp_val);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">const</span> T_partials_return y_sqr = <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(y_dbl);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keyword">const</span> T_partials_return inv_sigma_sqr = <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(inv_sigma[n]);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> T_partials_return exp_val = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-0.5 * y_sqr * inv_sigma_sqr);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keyword">const</span> T_partials_return exp_div_1m_exp = exp_val / (1.0 - exp_val);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += y_dbl * inv_sigma_sqr</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;            * exp_div_1m_exp * cdf;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= y_sqr * inv_sigma_sqr</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            * inv_sigma[n] * exp_div_1m_exp * cdf;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;    }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;  }</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;}</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_abca0bc173ef3459a1eac46296bcd83bc"><div class="ttname"><a href="namespacestan_1_1math.html#abca0bc173ef3459a1eac46296bcd83bc">stan::math::rayleigh_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_scale &gt;::type rayleigh_cdf(const T_y &amp;y, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="rayleigh__cdf_8hpp_source.html#l00028">rayleigh_cdf.hpp:28</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/uniform_real_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:ae588257225777f6a33cffb2139f8a4d9"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale &gt; </td></tr>
+<tr class="memitem:ae588257225777f6a33cffb2139f8a4d9"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae588257225777f6a33cffb2139f8a4d9">stan::math::rayleigh_cdf_log</a> (const T_y &amp;y, const T_scale &amp;sigma)</td></tr>
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+<a href="rayleigh__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_real_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_scale&gt;::type</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae588257225777f6a33cffb2139f8a4d9">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae588257225777f6a33cffb2139f8a4d9">rayleigh_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::rayleigh_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> cdf_log;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_scale&gt;</a> operands_and_partials(y, sigma);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_scale&gt;</a> inv_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        inv_sigma[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
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+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return y_sqr = y_dbl * y_dbl;</div>
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+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keyword">const</span> T_partials_return exp_val = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-0.5 * y_sqr * inv_sigma_sqr);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keyword">const</span> T_partials_return exp_div_1m_exp = exp_val / (1.0 - exp_val);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;false, T_y, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          cdf_log += <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(exp_val);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += y_dbl * inv_sigma_sqr</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            * exp_div_1m_exp;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= y_sqr * inv_sigma_sqr</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;            * inv_sigma[n] * exp_div_1m_exp;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      }</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    }</div>
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+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;}</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="title">rayleigh_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/uniform_real_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="rayleigh__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a60039dc0a79268bbb0da0a715b309af9"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_scale &gt; </td></tr>
+<tr class="memitem:a60039dc0a79268bbb0da0a715b309af9"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a60039dc0a79268bbb0da0a715b309af9">stan::math::rayleigh_log</a> (const T_y &amp;y, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a60039dc0a79268bbb0da0a715b309af9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a87968a836e36d11622dbe52db277f36e"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_scale &gt; </td></tr>
+<tr class="memitem:a87968a836e36d11622dbe52db277f36e"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a87968a836e36d11622dbe52db277f36e">stan::math::rayleigh_log</a> (const T_y &amp;y, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a87968a836e36d11622dbe52db277f36e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">rayleigh_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rayleigh__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_real_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_scale&gt;::type</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a60039dc0a79268bbb0da0a715b309af9">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a60039dc0a79268bbb0da0a715b309af9">rayleigh_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::rayleigh_log&quot;</span>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_scale&gt;</a> operands_and_partials(y, sigma);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_scale&gt;</a> inv_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                    T_partials_return, T_scale&gt; log_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        inv_sigma[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          log_sigma[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]));</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      }</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="comment">// pull out values of arguments</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="comment">// reusable subexpression values</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">const</span> T_partials_return y_over_sigma = y_dbl * inv_sigma[n];</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">static</span> <span class="keywordtype">double</span> NEGATIVE_HALF = -0.5;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="comment">// log probability</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          logp -= 2.0 * log_sigma[n];</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y_dbl);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="comment">// if (include_summand&lt;propto, T_y, T_scale&gt;::value)</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        logp += NEGATIVE_HALF * y_over_sigma * y_over_sigma;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        T_partials_return scaled_diff = inv_sigma[n] * y_over_sigma;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += 1.0 / y_dbl - scaled_diff;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            += y_over_sigma * scaled_diff - 2.0 * inv_sigma[n];</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      }</div>
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+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_scale&gt;</div>
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+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keywordflow">return</span> rayleigh_log&lt;false&gt;(y, sigma);</div>
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+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;  }</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;}</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="title">rayleigh_rng.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/uniform_real_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="rayleigh__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:aab42ace2560fde585011d2f3c5459139"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:aab42ace2560fde585011d2f3c5459139"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aab42ace2560fde585011d2f3c5459139">stan::math::rayleigh_rng</a> (const double sigma, RNG &amp;rng)</td></tr>
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+<div class="title">rayleigh_rng.hpp</div>  </div>
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+<a href="rayleigh__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_RAYLEIGH_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_real_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aab42ace2560fde585011d2f3c5459139">   24</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aab42ace2560fde585011d2f3c5459139">rayleigh_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> sigma,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                 RNG&amp; rng) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> boost::random::uniform_real_distribution;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::rayleigh_rng&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      variate_generator&lt;RNG&amp;, uniform_real_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">uniform_rng</a>(rng, uniform_real_distribution&lt;&gt;(0.0, 1.0));</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">return</span> sigma * <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(-2.0 * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(<a class="code" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">uniform_rng</a>()));</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;}</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aab42ace2560fde585011d2f3c5459139"><div class="ttname"><a href="namespacestan_1_1math.html#aab42ace2560fde585011d2f3c5459139">stan::math::rayleigh_rng</a></div><div class="ttdeci">double rayleigh_rng(const double sigma, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="rayleigh__rng_8hpp_source.html#l00024">rayleigh_rng.hpp:24</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a10447d2a77f0fdf32e0adce2546cd3cd"><div class="ttname"><a href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">stan::math::uniform_rng</a></div><div class="ttdeci">double uniform_rng(const double alpha, const double beta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="uniform__rng_8hpp_source.html#l00021">uniform_rng.hpp:21</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2sum_8hpp_source.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;cstddef&gt;</code><br />
+<code>#include &lt;iostream&gt;</code><br />
+</div>
+<p><a href="read__corr___l_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a57f4b9ccc58d2d03aec434abb0795e41"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a57f4b9ccc58d2d03aec434abb0795e41"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a57f4b9ccc58d2d03aec434abb0795e41">stan::math::read_corr_L</a> (const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, const size_t K)</td></tr>
+<tr class="memdesc:a57f4b9ccc58d2d03aec434abb0795e41"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the Cholesky factor of the correlation matrix of the specified dimensionality corresponding to the specified canonical partial correlations.  <a href="namespacestan_1_1math.html#a57f4b9ccc58d2d03aec434abb0795e41">More...</a><br /></td></tr>
+<tr class="separator:a57f4b9ccc58d2d03aec434abb0795e41"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af6d327921ea7356872f0eec002c0b032"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:af6d327921ea7356872f0eec002c0b032"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af6d327921ea7356872f0eec002c0b032">stan::math::read_corr_L</a> (const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, const size_t K, T &amp;log_prob)</td></tr>
+<tr class="memdesc:af6d327921ea7356872f0eec002c0b032"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the Cholesky factor of the correlation matrix of the specified dimensionality corresponding to the specified canonical partial correlations, incrementing the specified scalar reference with the log absolute determinant of the Jacobian of the transformation.  <a href="namespacestan_1_1math.html#af6d327921ea7356872f0eec002c0b032">More...</a><br /></td></tr>
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+<div class="title">read_corr_L.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="read__corr___l_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_READ_CORR_L_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_READ_CORR_L_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2sum_8hpp.html">stan/math/prim/mat/fun/sum.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cstddef&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;iostream&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="comment">// MATRIX TRANSFORMS +/- JACOBIANS</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a57f4b9ccc58d2d03aec434abb0795e41">   41</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a57f4b9ccc58d2d03aec434abb0795e41">read_corr_L</a>(<span class="keyword">const</span> Eigen::Array&lt;T, Eigen::Dynamic, 1&gt;&amp; CPCs,  <span class="comment">// on (-1, 1)</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">size_t</span> K) {</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      Eigen::Array&lt;T, Eigen::Dynamic, 1&gt; temp;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      Eigen::Array&lt;T, Eigen::Dynamic, 1&gt; acc(K-1);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      acc.setOnes();</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="comment">// Cholesky factor of correlation matrix</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      Eigen::Array&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt; L(K, K);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      L.setZero();</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordtype">size_t</span> position = 0;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordtype">size_t</span> pull = K - 1;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      L(0, 0) = 1.0;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      L.col(0).tail(pull) = temp = CPCs.head(pull);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      acc.tail(pull) = T(1.0) - temp.square();</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1; i &lt; (K - 1); i++) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        position += pull;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        pull--;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        temp = CPCs.segment(position, pull);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        L(i, i) = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(acc(i-1));</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        L.col(i).tail(pull) = temp * acc.tail(pull).sqrt();</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        acc.tail(pull) *= T(1.0) - temp.square();</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      }</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      L(K-1, K-1) = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(acc(K-2));</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordflow">return</span> L.matrix();</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af6d327921ea7356872f0eec002c0b032">   95</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a57f4b9ccc58d2d03aec434abb0795e41">read_corr_L</a>(<span class="keyword">const</span> Eigen::Array&lt;T, Eigen::Dynamic, 1&gt;&amp; CPCs,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">size_t</span> K,</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                T&amp; log_prob) {</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a>;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt; values(CPCs.rows() - 1);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="comment">// no need to abs() because this Jacobian determinant</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="comment">// is strictly positive (and triangular)</span></div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="comment">// see inverse of Jacobian in equation 11 of LKJ paper</span></div>
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+<div class="ttc" id="prim_2mat_2fun_2sum_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2sum_8hpp.html">sum.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="read__corr___l_8hpp_source.html">stan/math/prim/mat/fun/read_corr_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">stan/math/prim/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a2510336c2dac321c32b171f8ef407a06"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a2510336c2dac321c32b171f8ef407a06"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2510336c2dac321c32b171f8ef407a06">stan::math::read_corr_matrix</a> (const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, const size_t K)</td></tr>
+<tr class="memdesc:a2510336c2dac321c32b171f8ef407a06"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the correlation matrix of the specified dimensionality corresponding to the specified canonical partial correlations.  <a href="namespacestan_1_1math.html#a2510336c2dac321c32b171f8ef407a06">More...</a><br /></td></tr>
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+<tr class="memitem:a09c8a74b36fb456b0baf2d049427487b"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a09c8a74b36fb456b0baf2d049427487b">stan::math::read_corr_matrix</a> (const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, const size_t K, T &amp;log_prob)</td></tr>
+<tr class="memdesc:a09c8a74b36fb456b0baf2d049427487b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the correlation matrix of the specified dimensionality corresponding to the specified canonical partial correlations, incrementing the specified scalar reference with the log absolute determinant of the Jacobian of the transformation.  <a href="namespacestan_1_1math.html#a09c8a74b36fb456b0baf2d049427487b">More...</a><br /></td></tr>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="read__corr___l_8hpp_html"><div class="ttname"><a href="read__corr___l_8hpp.html">read_corr_L.hpp</a></div></div>
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+<div class="title">read_cov_L.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+</div>
+<p><a href="read__cov___l_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a34dc4b0fb00808b0d444b2c656c44c28"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a34dc4b0fb00808b0d444b2c656c44c28"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a34dc4b0fb00808b0d444b2c656c44c28">stan::math::read_cov_L</a> (const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;sds, T &amp;log_prob)</td></tr>
+<tr class="memdesc:a34dc4b0fb00808b0d444b2c656c44c28"><td class="mdescLeft">&#160;</td><td class="mdescRight">This is the function that should be called prior to evaluating the density of any elliptical distribution.  <a href="namespacestan_1_1math.html#a34dc4b0fb00808b0d444b2c656c44c28">More...</a><br /></td></tr>
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+<a href="read__cov___l_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_READ_COV_L_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="read__cov___l_8hpp_source.html">stan/math/prim/mat/fun/read_cov_L.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">stan/math/prim/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="read__cov__matrix_8hpp_source.html">Go to the source code of this file.</a></p>
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aecf731d715f789bfad7dbb712851c52e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aecf731d715f789bfad7dbb712851c52e"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aecf731d715f789bfad7dbb712851c52e">stan::math::read_cov_matrix</a> (const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;sds, T &amp;log_prob)</td></tr>
+<tr class="memdesc:aecf731d715f789bfad7dbb712851c52e"><td class="mdescLeft">&#160;</td><td class="mdescRight">A generally worse alternative to call prior to evaluating the density of an elliptical distribution.  <a href="namespacestan_1_1math.html#aecf731d715f789bfad7dbb712851c52e">More...</a><br /></td></tr>
+<tr class="separator:aecf731d715f789bfad7dbb712851c52e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60bca98247a2b43a06388e08eade3ea5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a60bca98247a2b43a06388e08eade3ea5"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a60bca98247a2b43a06388e08eade3ea5">stan::math::read_cov_matrix</a> (const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;CPCs, const Eigen::Array&lt; T, Eigen::Dynamic, 1 &gt; &amp;sds)</td></tr>
+<tr class="memdesc:a60bca98247a2b43a06388e08eade3ea5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Builds a covariance matrix from CPCs and standard deviations.  <a href="namespacestan_1_1math.html#a60bca98247a2b43a06388e08eade3ea5">More...</a><br /></td></tr>
+<tr class="separator:a60bca98247a2b43a06388e08eade3ea5"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="read__cov__matrix_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_READ_COV_MATRIX_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">stan/math/prim/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="vari_8hpp_source.html">stan/math/rev/core/vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chainablestack_8hpp_source.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="empty__nested_8hpp_source.html">stan/math/rev/core/empty_nested.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:afe2cbb83ac9ef52296755690e61f4298"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afe2cbb83ac9ef52296755690e61f4298">stan::math::recover_memory</a> ()</td></tr>
+<tr class="memdesc:afe2cbb83ac9ef52296755690e61f4298"><td class="mdescLeft">&#160;</td><td class="mdescRight">Recover memory used for all variables for reuse.  <a href="namespacestan_1_1math.html#afe2cbb83ac9ef52296755690e61f4298">More...</a><br /></td></tr>
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+<div class="title">recover_memory.hpp</div>  </div>
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+<a href="recover__memory_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_RECOVER_MEMORY_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_RECOVER_MEMORY_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chainablestack_8hpp.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="empty__nested_8hpp.html">stan/math/rev/core/empty_nested.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afe2cbb83ac9ef52296755690e61f4298">   18</a></span>&#160;    <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#afe2cbb83ac9ef52296755690e61f4298">recover_memory</a>() {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="namespacestan_1_1math.html#a430f171295b91277dc60dfa2177c7c0b">empty_nested</a>())</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;empty_nested() must be true&quot;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                               <span class="stringliteral">&quot; before calling recover_memory()&quot;</span>);</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a3ee9208d01fab7f0d6b3d3fd6f186435">ChainableStack::var_stack_</a>.clear();</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#ac281684e398a6a4cedcf7c4e75eeb2f1">ChainableStack::var_nochain_stack_</a>.clear();</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a4e95a60d3e2d215f4f8020e6ce2f03d8">ChainableStack::var_alloc_stack_</a>.size(); ++i) {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        <span class="keyword">delete</span> <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a4e95a60d3e2d215f4f8020e6ce2f03d8">ChainableStack::var_alloc_stack_</a>[i];</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      }</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a4e95a60d3e2d215f4f8020e6ce2f03d8">ChainableStack::var_alloc_stack_</a>.clear();</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a>.<a class="code" href="classstan_1_1math_1_1stack__alloc.html#af298b06ae054599532498a1ccff4caeb">recover_all</a>();</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;}</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a1397a6cac3999e6be0b4c7a92cfa4c3e"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">stan::math::AutodiffStackStorage::memalloc_</a></div><div class="ttdeci">static stack_alloc memalloc_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00016">autodiffstackstorage.hpp:16</a></div></div>
+<div class="ttc" id="empty__nested_8hpp_html"><div class="ttname"><a href="empty__nested_8hpp.html">empty_nested.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1stack__alloc_html_af298b06ae054599532498a1ccff4caeb"><div class="ttname"><a href="classstan_1_1math_1_1stack__alloc.html#af298b06ae054599532498a1ccff4caeb">stan::math::stack_alloc::recover_all</a></div><div class="ttdeci">void recover_all()</div><div class="ttdoc">Recover all the memory used by the stack allocator. </div><div class="ttdef"><b>Definition:</b> <a href="stack__alloc_8hpp_source.html#l00197">stack_alloc.hpp:197</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a4e95a60d3e2d215f4f8020e6ce2f03d8"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a4e95a60d3e2d215f4f8020e6ce2f03d8">stan::math::AutodiffStackStorage::var_alloc_stack_</a></div><div class="ttdeci">static std::vector&lt; ChainableAllocT * &gt; var_alloc_stack_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00015">autodiffstackstorage.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_ac281684e398a6a4cedcf7c4e75eeb2f1"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#ac281684e398a6a4cedcf7c4e75eeb2f1">stan::math::AutodiffStackStorage::var_nochain_stack_</a></div><div class="ttdeci">static std::vector&lt; ChainableT * &gt; var_nochain_stack_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00014">autodiffstackstorage.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_afe2cbb83ac9ef52296755690e61f4298"><div class="ttname"><a href="namespacestan_1_1math.html#afe2cbb83ac9ef52296755690e61f4298">stan::math::recover_memory</a></div><div class="ttdeci">static void recover_memory()</div><div class="ttdoc">Recover memory used for all variables for reuse. </div><div class="ttdef"><b>Definition:</b> <a href="recover__memory_8hpp_source.html#l00018">recover_memory.hpp:18</a></div></div>
+<div class="ttc" id="chainablestack_8hpp_html"><div class="ttname"><a href="chainablestack_8hpp.html">chainablestack.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a3ee9208d01fab7f0d6b3d3fd6f186435"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a3ee9208d01fab7f0d6b3d3fd6f186435">stan::math::AutodiffStackStorage::var_stack_</a></div><div class="ttdeci">static std::vector&lt; ChainableT * &gt; var_stack_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00013">autodiffstackstorage.hpp:13</a></div></div>
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+<div class="title">recover_memory_nested.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="chainable__alloc_8hpp_source.html">stan/math/rev/core/chainable_alloc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chainablestack_8hpp_source.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="empty__nested_8hpp_source.html">stan/math/rev/core/empty_nested.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="recover__memory__nested_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a8ebf2b2bc0f63dcb46a176b43e8b369a"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">stan::math::recover_memory_nested</a> ()</td></tr>
+<tr class="memdesc:a8ebf2b2bc0f63dcb46a176b43e8b369a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Recover only the memory used for the top nested call.  <a href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">More...</a><br /></td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_81fe1b6a702402bcbe6f5ecda25eb5ba.html">core</a></li>  </ul>
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+<div class="title">recover_memory_nested.hpp</div>  </div>
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+<a href="recover__memory__nested_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_RECOVER_MEMORY_NESTED_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_RECOVER_MEMORY_NESTED_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chainable__alloc_8hpp.html">stan/math/rev/core/chainable_alloc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chainablestack_8hpp.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="empty__nested_8hpp.html">stan/math/rev/core/empty_nested.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">   20</a></span>&#160;    <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">recover_memory_nested</a>() {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a430f171295b91277dc60dfa2177c7c0b">empty_nested</a>())</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;empty_nested() must be false&quot;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                               <span class="stringliteral">&quot; before calling recover_memory_nested()&quot;</span>);</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#ac281684e398a6a4cedcf7c4e75eeb2f1">ChainableStack::var_nochain_stack_</a></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        .resize(<a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a15080f06483a3215ce0513e0274db5f5">ChainableStack::nested_var_nochain_stack_sizes_</a>.back());</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a15080f06483a3215ce0513e0274db5f5">ChainableStack::nested_var_nochain_stack_sizes_</a>.pop_back();</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a86825610c9b89e0635a1efe420fb502c">ChainableStack::nested_var_alloc_stack_starts_</a>.back();</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="keyword">delete</span> <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a4e95a60d3e2d215f4f8020e6ce2f03d8">ChainableStack::var_alloc_stack_</a>[i];</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a4e95a60d3e2d215f4f8020e6ce2f03d8">ChainableStack::var_alloc_stack_</a>.resize</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        (<a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a86825610c9b89e0635a1efe420fb502c">ChainableStack::nested_var_alloc_stack_starts_</a>.back());</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a86825610c9b89e0635a1efe420fb502c">ChainableStack::nested_var_alloc_stack_starts_</a>.pop_back();</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a>.<a class="code" href="classstan_1_1math_1_1stack__alloc.html#a9e7184bae2a2082fa7f683723379af7b">recover_nested</a>();</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;}</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a430f171295b91277dc60dfa2177c7c0b"><div class="ttname"><a href="namespacestan_1_1math.html#a430f171295b91277dc60dfa2177c7c0b">stan::math::empty_nested</a></div><div class="ttdeci">static bool empty_nested()</div><div class="ttdoc">Return true if there is no nested autodiff being executed. </div><div class="ttdef"><b>Definition:</b> <a href="empty__nested_8hpp_source.html#l00012">empty_nested.hpp:12</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a1397a6cac3999e6be0b4c7a92cfa4c3e"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">stan::math::AutodiffStackStorage::memalloc_</a></div><div class="ttdeci">static stack_alloc memalloc_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00016">autodiffstackstorage.hpp:16</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1stack__alloc_html_a9e7184bae2a2082fa7f683723379af7b"><div class="ttname"><a href="classstan_1_1math_1_1stack__alloc.html#a9e7184bae2a2082fa7f683723379af7b">stan::math::stack_alloc::recover_nested</a></div><div class="ttdeci">void recover_nested()</div><div class="ttdoc">recover memory back to the last start_nested call. </div><div class="ttdef"><b>Definition:</b> <a href="stack__alloc_8hpp_source.html#l00216">stack_alloc.hpp:216</a></div></div>
+<div class="ttc" id="empty__nested_8hpp_html"><div class="ttname"><a href="empty__nested_8hpp.html">empty_nested.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a4e95a60d3e2d215f4f8020e6ce2f03d8"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a4e95a60d3e2d215f4f8020e6ce2f03d8">stan::math::AutodiffStackStorage::var_alloc_stack_</a></div><div class="ttdeci">static std::vector&lt; ChainableAllocT * &gt; var_alloc_stack_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00015">autodiffstackstorage.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_ac281684e398a6a4cedcf7c4e75eeb2f1"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#ac281684e398a6a4cedcf7c4e75eeb2f1">stan::math::AutodiffStackStorage::var_nochain_stack_</a></div><div class="ttdeci">static std::vector&lt; ChainableT * &gt; var_nochain_stack_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00014">autodiffstackstorage.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a15080f06483a3215ce0513e0274db5f5"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a15080f06483a3215ce0513e0274db5f5">stan::math::AutodiffStackStorage::nested_var_nochain_stack_sizes_</a></div><div class="ttdeci">static std::vector&lt; size_t &gt; nested_var_nochain_stack_sizes_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00020">autodiffstackstorage.hpp:20</a></div></div>
+<div class="ttc" id="chainable__alloc_8hpp_html"><div class="ttname"><a href="chainable__alloc_8hpp.html">chainable_alloc.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_aaa52587fef6c965ff959745bedaab58b"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#aaa52587fef6c965ff959745bedaab58b">stan::math::AutodiffStackStorage::nested_var_stack_sizes_</a></div><div class="ttdeci">static std::vector&lt; size_t &gt; nested_var_stack_sizes_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00019">autodiffstackstorage.hpp:19</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8ebf2b2bc0f63dcb46a176b43e8b369a"><div class="ttname"><a href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">stan::math::recover_memory_nested</a></div><div class="ttdeci">static void recover_memory_nested()</div><div class="ttdoc">Recover only the memory used for the top nested call. </div><div class="ttdef"><b>Definition:</b> <a href="recover__memory__nested_8hpp_source.html#l00020">recover_memory_nested.hpp:20</a></div></div>
+<div class="ttc" id="chainablestack_8hpp_html"><div class="ttname"><a href="chainablestack_8hpp.html">chainablestack.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a3ee9208d01fab7f0d6b3d3fd6f186435"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a3ee9208d01fab7f0d6b3d3fd6f186435">stan::math::AutodiffStackStorage::var_stack_</a></div><div class="ttdeci">static std::vector&lt; ChainableT * &gt; var_stack_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00013">autodiffstackstorage.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a86825610c9b89e0635a1efe420fb502c"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a86825610c9b89e0635a1efe420fb502c">stan::math::AutodiffStackStorage::nested_var_alloc_stack_starts_</a></div><div class="ttdeci">static std::vector&lt; size_t &gt; nested_var_alloc_stack_starts_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00021">autodiffstackstorage.hpp:21</a></div></div>
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+Functions</h2></td></tr>
+<tr class="memitem:ad3d78d2735a35451f02bcd2f4da24886"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="separator:a53054db4cfa6672654fbaedafbdae242"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">rep_array.hpp</div>  </div>
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+<a href="rep__array_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUN_REP_ARRAY_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_FUN_REP_ARRAY_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">inline</span> std::vector&lt;T&gt;</div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad3d78d2735a35451f02bcd2f4da24886">   13</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad3d78d2735a35451f02bcd2f4da24886">rep_array</a>(<span class="keyword">const</span> T&amp; x, <span class="keywordtype">int</span> n) {</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rep__matrix_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aacc2f4a71f9187885d1fa61a79285eec"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aacc2f4a71f9187885d1fa61a79285eec"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T &gt;::type, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aacc2f4a71f9187885d1fa61a79285eec">stan::math::rep_matrix</a> (const T &amp;x, int m, int n)</td></tr>
+<tr class="separator:aacc2f4a71f9187885d1fa61a79285eec"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a44e90dfa0b0247bee1e9c739d5aee3b8"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a44e90dfa0b0247bee1e9c739d5aee3b8">stan::math::rep_matrix</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;v, int n)</td></tr>
+<tr class="separator:a44e90dfa0b0247bee1e9c739d5aee3b8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:acbe06e42d623e4c975cd636d06bcd383"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acbe06e42d623e4c975cd636d06bcd383">stan::math::rep_matrix</a> (const Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &amp;rv, int m)</td></tr>
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+<a href="rep__matrix_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_REP_MATRIX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_REP_MATRIX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aacc2f4a71f9187885d1fa61a79285eec"><div class="ttname"><a href="namespacestan_1_1math.html#aacc2f4a71f9187885d1fa61a79285eec">stan::math::rep_matrix</a></div><div class="ttdeci">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T &gt;::type, Eigen::Dynamic, Eigen::Dynamic &gt; rep_matrix(const T &amp;x, int m, int n)</div><div class="ttdef"><b>Definition:</b> <a href="rep__matrix_8hpp_source.html#l00016">rep_matrix.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+<p><a href="rep__row__vector_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a9320ac189d0991ef6200daed95bd3c2d"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9320ac189d0991ef6200daed95bd3c2d"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T &gt;::type, 1, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9320ac189d0991ef6200daed95bd3c2d">stan::math::rep_row_vector</a> (const T &amp;x, int m)</td></tr>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a323f6ee7be13a0f7fa7cffa12204ba88"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a323f6ee7be13a0f7fa7cffa12204ba88"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T &gt;::type, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a323f6ee7be13a0f7fa7cffa12204ba88">stan::math::rep_vector</a> (const T &amp;x, int n)</td></tr>
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+<div class="ttc" id="namespacestan_1_1math_html_a323f6ee7be13a0f7fa7cffa12204ba88"><div class="ttname"><a href="namespacestan_1_1math.html#a323f6ee7be13a0f7fa7cffa12204ba88">stan::math::rep_vector</a></div><div class="ttdeci">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T &gt;::type, Eigen::Dynamic, 1 &gt; rep_vector(const T &amp;x, int n)</div><div class="ttdef"><b>Definition:</b> <a href="rep__vector_8hpp_source.html#l00016">rep_vector.hpp:16</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="resize_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a8abf3ffa6d67a158348134225c9d3090"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a8abf3ffa6d67a158348134225c9d3090"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8abf3ffa6d67a158348134225c9d3090">stan::math::resize</a> (T &amp;x, std::vector&lt; size_t &gt; dims)</td></tr>
+<tr class="memdesc:a8abf3ffa6d67a158348134225c9d3090"><td class="mdescLeft">&#160;</td><td class="mdescRight">Recursively resize the specified vector of vectors, which must bottom out at scalar values, <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vectors or <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrices.  <a href="namespacestan_1_1math.html#a8abf3ffa6d67a158348134225c9d3090">More...</a><br /></td></tr>
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+<div class="title">resize.hpp</div>  </div>
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+<a href="resize_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_RESIZE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_RESIZE_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
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+<p><a href="return__type_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1return__type.html">stan::return_type&lt; T1, T2, T3, T4, T5, T6 &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of the template parameters.  <a href="structstan_1_1return__type.html#details">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="calculate__chain_8hpp_source.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/arr/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="rev_2arr_2fun_2log__sum__exp_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:add3072490832a96e50ca3143e4226e67"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#add3072490832a96e50ca3143e4226e67">stan::math::log_sum_exp</a> (const std::vector&lt; var &gt; &amp;x)</td></tr>
+<tr class="memdesc:add3072490832a96e50ca3143e4226e67"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="namespacestan_1_1math.html#add3072490832a96e50ca3143e4226e67">More...</a><br /></td></tr>
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+<div class="title">log_sum_exp.hpp</div>  </div>
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+<div class="contents">
+<a href="rev_2arr_2fun_2log__sum__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_ARR_FUN_LOG_SUM_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_ARR_FUN_LOG_SUM_EXP_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="calculate__chain_8hpp.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2arr_2fun_2log__sum__exp_8hpp.html">stan/math/prim/arr/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keywordtype">double</span> log_sum_exp_as_double(<span class="keyword">const</span> std::vector&lt;var&gt;&amp; x) {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;        <span class="keyword">using</span> std::numeric_limits;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a> = -numeric_limits&lt;double&gt;::infinity();</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; x.size(); ++i)</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;          <span class="keywordflow">if</span> (x[i] &gt; max)</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a> = 0.0;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; x.size(); ++i)</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;          <span class="keywordflow">if</span> (x[i] != -numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;            sum += <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(x[i].val() - <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">max</a>);</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        <span class="keywordflow">return</span> max + <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(sum);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      }</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">class </span>log_sum_exp_vector_vari : <span class="keyword">public</span> op_vector_vari {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        <span class="keyword">explicit</span> log_sum_exp_vector_vari(<span class="keyword">const</span> std::vector&lt;var&gt;&amp; x) :</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;          op_vector_vari(log_sum_exp_as_double(x), x) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        }</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; ++i) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;            vis_[i]-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">calculate_chain</a>(vis_[i]-&gt;val_, val_);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;          }</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      };</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#add3072490832a96e50ca3143e4226e67">   45</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(<span class="keyword">const</span> std::vector&lt;var&gt;&amp; x) {</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> log_sum_exp_vector_vari(x));</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    }</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;}</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac86474622fba4524c529c4b8024e4ceb"><div class="ttname"><a href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">stan::math::log_sum_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log_sum_exp(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00014">log_sum_exp.hpp:14</a></div></div>
+<div class="ttc" id="prim_2arr_2fun_2log__sum__exp_8hpp_html"><div class="ttname"><a href="prim_2arr_2fun_2log__sum__exp_8hpp.html">log_sum_exp.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab9b0e3e51b5cc7ab1da287369ff754d7"><div class="ttname"><a href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">stan::math::calculate_chain</a></div><div class="ttdeci">double calculate_chain(const double &amp;x, const double &amp;val)</div><div class="ttdef"><b>Definition:</b> <a href="calculate__chain_8hpp_source.html#l00008">calculate_chain.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2dot__self_8hpp_html_a5f31775800bbb46b35b5791def1f3acc"><div class="ttname"><a href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a></div><div class="ttdeci">size_t size_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2dot__self_8hpp_source.html#l00018">dot_self.hpp:18</a></div></div>
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+<div class="ttc" id="calculate__chain_8hpp_html"><div class="ttname"><a href="calculate__chain_8hpp.html">calculate_chain.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Class for sums of variables constructed with standard vectors.  <a href="classstan_1_1math_1_1sum__v__vari.html#details">More...</a><br /></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a2538f04d0c683772fb3f46197d8c0059"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2538f04d0c683772fb3f46197d8c0059">stan::math::sum</a> (const std::vector&lt; var &gt; &amp;m)</td></tr>
+<tr class="memdesc:a2538f04d0c683772fb3f46197d8c0059"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the sum of the entries of the specified vector.  <a href="namespacestan_1_1math.html#a2538f04d0c683772fb3f46197d8c0059">More...</a><br /></td></tr>
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+<a href="rev_2arr_2fun_2sum_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_ARR_FUN_SUM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_ARR_FUN_SUM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
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+<div class="ttc" id="classstan_1_1math_1_1sum__v__vari_html_ae9bf55b4be96685eaaa9bfefcbe23de9"><div class="ttname"><a href="classstan_1_1math_1_1sum__v__vari.html#ae9bf55b4be96685eaaa9bfefcbe23de9">stan::math::sum_v_vari::sum_v_vari</a></div><div class="ttdeci">sum_v_vari(double value, vari **v, size_t length)</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2fun_2sum_8hpp_source.html#l00027">sum.hpp:27</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1sum__v__vari_html_a02ca46a8d2ffc591718513c98c09c9b6"><div class="ttname"><a href="classstan_1_1math_1_1sum__v__vari.html#a02ca46a8d2ffc591718513c98c09c9b6">stan::math::sum_v_vari::v_</a></div><div class="ttdeci">vari ** v_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2fun_2sum_8hpp_source.html#l00016">sum.hpp:16</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1vari_html_a53f635dd2454bc46335f3ad5bd172623"><div class="ttname"><a href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">stan::math::vari::adj_</a></div><div class="ttdeci">double adj_</div><div class="ttdoc">The adjoint of this variable, which is the partial derivative of this variable with respect to the ro...</div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00044">vari.hpp:44</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1sum__v__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1sum__v__vari.html">stan::math::sum_v_vari</a></div><div class="ttdoc">Class for sums of variables constructed with standard vectors. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2fun_2sum_8hpp_source.html#l00014">sum.hpp:14</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1sum__v__vari_html_a40d6b74038464b3734839e6df9077681"><div class="ttname"><a href="classstan_1_1math_1_1sum__v__vari.html#a40d6b74038464b3734839e6df9077681">stan::math::sum_v_vari::sum_v_vari</a></div><div class="ttdeci">sum_v_vari(const std::vector&lt; var &gt; &amp;v1)</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2fun_2sum_8hpp_source.html#l00031">sum.hpp:31</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="arr_2meta_2get_8hpp_source.html">stan/math/prim/arr/meta/get.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2length_8hpp_source.html">stan/math/prim/arr/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__equal_8hpp_source.html">stan/math/prim/scal/err/check_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">stan/math/prim/arr/functor/coupled_ode_system.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of__rec_8hpp_source.html">stan/math/rev/scal/fun/value_of_rec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;ostream&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">Go to the source code of this file.</a></p>
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+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">The coupled ODE system for known initial values and unknown parameters.  <a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#details">More...</a><br /></td></tr>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">The coupled ODE system for unknown initial values and known parameters.  <a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">The coupled ode system for unknown intial values and unknown parameters.  <a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#details">More...</a><br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a1a238bf34fdfe67aa84300d9822f34be"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1a238bf34fdfe67aa84300d9822f34be">stan::math::add_initial_values</a> (const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;y0, std::vector&lt; std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &gt; &amp;y)</td></tr>
+<tr class="memdesc:a1a238bf34fdfe67aa84300d9822f34be"><td class="mdescLeft">&#160;</td><td class="mdescRight">Increment the state derived from the coupled system in the with the original initial state.  <a href="namespacestan_1_1math.html#a1a238bf34fdfe67aa84300d9822f34be">More...</a><br /></td></tr>
+<tr class="separator:a1a238bf34fdfe67aa84300d9822f34be"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="rev_2arr_2functor_2coupled__ode__system_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_ARR_FUNCTOR_COUPLED_ODE_SYSTEM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_ARR_FUNCTOR_COUPLED_ODE_SYSTEM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2meta_2get_8hpp.html">stan/math/prim/arr/meta/get.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2meta_2length_8hpp.html">stan/math/prim/arr/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__equal_8hpp.html">stan/math/prim/scal/err/check_equal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2arr_2functor_2coupled__ode__system_8hpp.html">stan/math/prim/arr/functor/coupled_ode_system.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2value__of__rec_8hpp.html">stan/math/rev/scal/fun/value_of_rec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2value__of_8hpp.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;ostream&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="comment">// This code is in this directory because it includes var</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="comment">// It is in namespace stan::math so that the partial template</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="comment">// specializations are treated as such.</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1a238bf34fdfe67aa84300d9822f34be">   34</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="namespacestan_1_1math.html#a1a238bf34fdfe67aa84300d9822f34be">add_initial_values</a>(<span class="keyword">const</span> std::vector&lt;stan::math::var&gt;&amp; y0,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                            std::vector&lt;std::vector&lt;stan::math::var&gt; &gt;&amp; y) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; y.size(); n++)</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> m = 0; m &lt; y0.size(); m++)</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;          y[n][m] += y0[m];</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00063"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">   63</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1coupled__ode__system.html">coupled_ode_system</a> &lt;F, double, <a class="code" href="namespacestan.html">stan</a>::<a class="code" href="classstan_1_1math_1_1var.html">math::var</a>&gt; {</div>
+<div class="line"><a name="l00064"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a29bdd2a1b78ae39b6be208202254d641">   64</a></span>&#160;      <span class="keyword">const</span> F&amp; <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a29bdd2a1b78ae39b6be208202254d641">f_</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac10d0e5efa43f212517bfbec68a92027">   65</a></span>&#160;      <span class="keyword">const</span> std::vector&lt;double&gt;&amp; <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac10d0e5efa43f212517bfbec68a92027">y0_dbl_</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa83bd4b43f18e3173da624b4955da369">   66</a></span>&#160;      <span class="keyword">const</span> std::vector&lt;stan::math::var&gt;&amp; <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa83bd4b43f18e3173da624b4955da369">theta_</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a8ed7492f88159d09d0821e2733f7251b">   67</a></span>&#160;      std::vector&lt;double&gt; <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a8ed7492f88159d09d0821e2733f7251b">theta_dbl_</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ad7ffb5050618453920b1d961b2bc6b58">   68</a></span>&#160;      <span class="keyword">const</span> std::vector&lt;double&gt;&amp; <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ad7ffb5050618453920b1d961b2bc6b58">x_</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa69a8f9f7d6ecd19c32082fc8981dd2d">   69</a></span>&#160;      <span class="keyword">const</span> std::vector&lt;int&gt;&amp; <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa69a8f9f7d6ecd19c32082fc8981dd2d">x_int_</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac2046745fac3341408eb20d04fbd8340">   70</a></span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac2046745fac3341408eb20d04fbd8340">N_</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ace943e49e8e81900dba84aa7ad248e1d">   71</a></span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ace943e49e8e81900dba84aa7ad248e1d">M_</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a072fc6585021385a59831dfef70c8fa1">   72</a></span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a072fc6585021385a59831dfef70c8fa1">size_</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a1d598b9ae88d390a54ed701bc9752999">   73</a></span>&#160;      std::ostream* <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a1d598b9ae88d390a54ed701bc9752999">msgs_</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a6f7d9914ea3740d8b6e5105a87aa2cd8">   87</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a6f7d9914ea3740d8b6e5105a87aa2cd8">coupled_ode_system</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                         <span class="keyword">const</span> std::vector&lt;double&gt;&amp; y0,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                         <span class="keyword">const</span> std::vector&lt;stan::math::var&gt;&amp; theta,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                         <span class="keyword">const</span> std::vector&lt;double&gt;&amp; x,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                         <span class="keyword">const</span> std::vector&lt;int&gt;&amp; x_int,</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                         std::ostream* msgs)</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        : f_(f),</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          y0_dbl_(y0),</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          theta_(theta),</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          theta_dbl_(theta.<a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>(), 0.0),</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          x_(x),</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          x_int_(x_int),</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;          N_(y0.<a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>()),</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          M_(theta.<a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>()),</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          size_(N_ + N_ * M_),</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                msgs_(msgs) {</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> m = 0; m &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; m++)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          theta_dbl_[m] = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>(theta[m]);</div>
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+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
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+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;                      std::vector&lt;double&gt;&amp; dz_dt,</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                      <span class="keywordtype">double</span> t) {</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keyword">using</span> std::vector;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <span class="keyword">using</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        vector&lt;double&gt; y(z.begin(), z.begin() + <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        dz_dt = f_(t, y, theta_dbl_, x_, x_int_, msgs_);</div>
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+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                                <span class="stringliteral">&quot;dz_dt&quot;</span>, dz_dt.size(), <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        vector&lt;double&gt; coupled_sys(N_ * M_);</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        vector&lt;double&gt; <a class="code" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">grad</a>(N_ + M_);</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="keywordflow">try</span> {</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;          <a class="code" href="namespacestan_1_1math.html#ad4a72c89ed9143a7760cc3611e8a0df0">stan::math::start_nested</a>();</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          vector&lt;var&gt; z_vars;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;          z_vars.reserve(N_ + M_);</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;          vector&lt;var&gt; y_vars(y.begin(), y.end());</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;          z_vars.insert(z_vars.end(), y_vars.begin(), y_vars.end());</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;          vector&lt;var&gt; theta_vars(theta_dbl_.begin(), theta_dbl_.end());</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;          z_vars.insert(z_vars.end(), theta_vars.begin(), theta_vars.end());</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;          vector&lt;var&gt; dy_dt_vars = f_(t, y_vars, theta_vars, x_, x_int_, msgs_);</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>; i++) {</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;            <a class="code" href="namespacestan_1_1math.html#af13a9b09e0bebb14eb30f3c78a95a160">set_zero_all_adjoints_nested</a>();</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            dy_dt_vars[i].grad(z_vars, grad);</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; j++) {</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;              <span class="comment">// orders derivatives by equation (i.e. if there are 2 eqns</span></div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;              <span class="comment">// (y1, y2) and 2 parameters (a, b), dy_dt will be ordered as:</span></div>
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+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        dz_dt.insert(dz_dt.end(), coupled_sys.begin(), coupled_sys.end());</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;      }</div>
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+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;      }</div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div>
+<div class="line"><a name="l00198"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a3e039bc430a91652cfa3a25ea104c876">  198</a></span>&#160;      std::vector&lt;double&gt; <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a3e039bc430a91652cfa3a25ea104c876">initial_state</a>() {</div>
+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;        std::vector&lt;double&gt; state(size_, 0.0);</div>
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+<div class="line"><a name="l00212"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ae5a23e98720f934c3ce7d26901b34b6f">  212</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ae5a23e98720f934c3ce7d26901b34b6f">decouple_states</a>(<span class="keyword">const</span> std::vector&lt;std::vector&lt;double&gt; &gt;&amp; y) {</div>
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+<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;        std::vector&lt;stan::math::var&gt; temp_vars(N_);</div>
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+<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;        std::vector&lt;std::vector&lt;stan::math::var&gt; &gt; y_return(y.size());</div>
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+<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;                                                 temp_gradients);</div>
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+<div class="line"><a name="l00484"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a98451e6ddfb64254c8bfbc6a6f4055a9">  484</a></span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a98451e6ddfb64254c8bfbc6a6f4055a9">size_</a>;</div>
+<div class="line"><a name="l00485"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a06205d852a2e980e30107a290f9e5876">  485</a></span>&#160;      std::ostream* <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a06205d852a2e980e30107a290f9e5876">msgs_</a>;</div>
+<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;</div>
+<div class="line"><a name="l00500"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae9edecb8350c8aefd15c59c7e476e87d">  500</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae9edecb8350c8aefd15c59c7e476e87d">coupled_ode_system</a>(<span class="keyword">const</span> F&amp; f,</div>
+<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;                         <span class="keyword">const</span> std::vector&lt;stan::math::var&gt;&amp; y0,</div>
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+<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;                         <span class="keyword">const</span> std::vector&lt;int&gt;&amp; x_int,</div>
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+<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;        : f_(f),</div>
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+<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;          theta_(theta),</div>
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+<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;</div>
+<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> m = 0; m &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; m++)</div>
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+<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;</div>
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+<div class="line"><a name="l00542"></a><span class="lineno">  542</span>&#160;                      <span class="keywordtype">double</span> t) {</div>
+<div class="line"><a name="l00543"></a><span class="lineno">  543</span>&#160;        <span class="keyword">using</span> std::vector;</div>
+<div class="line"><a name="l00544"></a><span class="lineno">  544</span>&#160;        <span class="keyword">using</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>;</div>
+<div class="line"><a name="l00545"></a><span class="lineno">  545</span>&#160;</div>
+<div class="line"><a name="l00546"></a><span class="lineno">  546</span>&#160;        vector&lt;double&gt; y(z.begin(), z.begin() + <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>);</div>
+<div class="line"><a name="l00547"></a><span class="lineno">  547</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>; n++)</div>
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+<div class="line"><a name="l00637"></a><span class="lineno">  637</span>&#160;        vector&lt;vector&lt;var&gt; &gt; y_return(y.size());</div>
+<div class="line"><a name="l00638"></a><span class="lineno">  638</span>&#160;</div>
+<div class="line"><a name="l00639"></a><span class="lineno">  639</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; y.size(); i++) {</div>
+<div class="line"><a name="l00640"></a><span class="lineno">  640</span>&#160;          <span class="comment">// iterate over number of equations</span></div>
+<div class="line"><a name="l00641"></a><span class="lineno">  641</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>; j++) {</div>
+<div class="line"><a name="l00642"></a><span class="lineno">  642</span>&#160;            <span class="comment">// iterate over parameters for each equation</span></div>
+<div class="line"><a name="l00643"></a><span class="lineno">  643</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> k = 0; k &lt; N_ + <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; k++)</div>
+<div class="line"><a name="l00644"></a><span class="lineno">  644</span>&#160;              temp_gradients[k] = y[i][N_ + N_ * k + j];</div>
+<div class="line"><a name="l00645"></a><span class="lineno">  645</span>&#160;</div>
+<div class="line"><a name="l00646"></a><span class="lineno">  646</span>&#160;            temp_vars[j] = <a class="code" href="namespacestan_1_1math.html#a2ae0c4c9c64db8bb166f67caf352b35f">precomputed_gradients</a>(y[i][j],</div>
+<div class="line"><a name="l00647"></a><span class="lineno">  647</span>&#160;                                                 vars, temp_gradients);</div>
+<div class="line"><a name="l00648"></a><span class="lineno">  648</span>&#160;          }</div>
+<div class="line"><a name="l00649"></a><span class="lineno">  649</span>&#160;          y_return[i] = temp_vars;</div>
+<div class="line"><a name="l00650"></a><span class="lineno">  650</span>&#160;        }</div>
+<div class="line"><a name="l00651"></a><span class="lineno">  651</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a1a238bf34fdfe67aa84300d9822f34be">add_initial_values</a>(y0_, y_return);</div>
+<div class="line"><a name="l00652"></a><span class="lineno">  652</span>&#160;        <span class="keywordflow">return</span> y_return;</div>
+<div class="line"><a name="l00653"></a><span class="lineno">  653</span>&#160;      }</div>
+<div class="line"><a name="l00654"></a><span class="lineno">  654</span>&#160;    };</div>
+<div class="line"><a name="l00655"></a><span class="lineno">  655</span>&#160;  }  <span class="comment">// math</span></div>
+<div class="line"><a name="l00656"></a><span class="lineno">  656</span>&#160;}  <span class="comment">// stan</span></div>
+<div class="line"><a name="l00657"></a><span class="lineno">  657</span>&#160;</div>
+<div class="line"><a name="l00658"></a><span class="lineno">  658</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2ae0c4c9c64db8bb166f67caf352b35f"><div class="ttname"><a href="namespacestan_1_1math.html#a2ae0c4c9c64db8bb166f67caf352b35f">stan::math::precomputed_gradients</a></div><div class="ttdeci">var precomputed_gradients(const double value, const std::vector&lt; var &gt; &amp;operands, const std::vector&lt; double &gt; &amp;gradients)</div><div class="ttdoc">This function returns a var for an expression that has the specified value, vector of operands...</div><div class="ttdef"><b>Definition:</b> <a href="precomputed__gradients_8hpp_source.html#l00098">precomputed_gradients.hpp:98</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_a1a1ce668b29fbe51a12c7af59aad2db4"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a1a1ce668b29fbe51a12c7af59aad2db4">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::msgs_</a></div><div class="ttdeci">std::ostream * msgs_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00269">coupled_ode_system.hpp:269</a></div></div>
+<div class="ttc" id="rev_2scal_2fun_2value__of__rec_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2value__of__rec_8hpp.html">value_of_rec.hpp</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_ae5a23e98720f934c3ce7d26901b34b6f"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ae5a23e98720f934c3ce7d26901b34b6f">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::decouple_states</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; stan::math::var &gt; &gt; decouple_states(const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</div><div class="ttdoc">Returns the base ODE system state corresponding to the specified coupled system state. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00212">coupled_ode_system.hpp:212</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_aa83bd4b43f18e3173da624b4955da369"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa83bd4b43f18e3173da624b4955da369">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::theta_</a></div><div class="ttdeci">const std::vector&lt; stan::math::var &gt; &amp; theta_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00066">coupled_ode_system.hpp:66</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_a6774f7c0364f4787224bcb2bdab839f9"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a6774f7c0364f4787224bcb2bdab839f9">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::y0_dbl_</a></div><div class="ttdeci">std::vector&lt; double &gt; y0_dbl_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00477">coupled_ode_system.hpp:477</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_a8980f6cc5827c50c671266150388caee"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a8980f6cc5827c50c671266150388caee">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::decouple_states</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; stan::math::var &gt; &gt; decouple_states(const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</div><div class="ttdoc">Return the solutions to the basic ODE system, including appropriate autodiff partial derivatives...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00410">coupled_ode_system.hpp:410</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_a6f7d9914ea3740d8b6e5105a87aa2cd8"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a6f7d9914ea3740d8b6e5105a87aa2cd8">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::coupled_ode_system</a></div><div class="ttdeci">coupled_ode_system(const F &amp;f, const std::vector&lt; double &gt; &amp;y0, const std::vector&lt; stan::math::var &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</div><div class="ttdoc">Construct a coupled ODE system with the specified base ODE system, base initial state, parameters, data, and a message stream. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00087">coupled_ode_system.hpp:87</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_a8ed7492f88159d09d0821e2733f7251b"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a8ed7492f88159d09d0821e2733f7251b">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::theta_dbl_</a></div><div class="ttdeci">std::vector&lt; double &gt; theta_dbl_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00067">coupled_ode_system.hpp:67</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_a29bdd2a1b78ae39b6be208202254d641"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a29bdd2a1b78ae39b6be208202254d641">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::f_</a></div><div class="ttdeci">const F &amp; f_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00064">coupled_ode_system.hpp:64</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af13a9b09e0bebb14eb30f3c78a95a160"><div class="ttname"><a href="namespacestan_1_1math.html#af13a9b09e0bebb14eb30f3c78a95a160">stan::math::set_zero_all_adjoints_nested</a></div><div class="ttdeci">static void set_zero_all_adjoints_nested()</div><div class="ttdoc">Reset all adjoint values in the top nested portion of the stack to zero. </div><div class="ttdef"><b>Definition:</b> <a href="set__zero__all__adjoints__nested_8hpp_source.html#l00017">set_zero_all_adjoints_nested.hpp:17</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_a06205d852a2e980e30107a290f9e5876"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a06205d852a2e980e30107a290f9e5876">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::msgs_</a></div><div class="ttdeci">std::ostream * msgs_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00485">coupled_ode_system.hpp:485</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_a3e039bc430a91652cfa3a25ea104c876"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a3e039bc430a91652cfa3a25ea104c876">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::initial_state</a></div><div class="ttdeci">std::vector&lt; double &gt; initial_state()</div><div class="ttdoc">Returns the initial state of the coupled system. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00198">coupled_ode_system.hpp:198</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_ac07a596c9b7dbac47dbe7e6c1310d560"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ac07a596c9b7dbac47dbe7e6c1310d560">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::decouple_states</a></div><div class="ttdeci">std::vector&lt; std::vector&lt; stan::math::var &gt; &gt; decouple_states(const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</div><div class="ttdoc">Return the basic ODE solutions given the specified coupled system solutions, including the partials v...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00627">coupled_ode_system.hpp:627</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a20437f997cf28c6013d897f1d8099106"><div class="ttname"><a href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">stan::math::grad</a></div><div class="ttdeci">static void grad(vari *vi)</div><div class="ttdoc">Compute the gradient for all variables starting from the specified root variable implementation. </div><div class="ttdef"><b>Definition:</b> <a href="core_2grad_8hpp_source.html#l00030">grad.hpp:30</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_acec587a37d9168a46a1ddd44c651dcd4"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#acec587a37d9168a46a1ddd44c651dcd4">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::size</a></div><div class="ttdeci">size_t size() const </div><div class="ttdoc">Returns the size of the coupled system. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00181">coupled_ode_system.hpp:181</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_ae43208e9fea0c6f456f1e28611109ac8"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae43208e9fea0c6f456f1e28611109ac8">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::theta_dbl_</a></div><div class="ttdeci">std::vector&lt; double &gt; theta_dbl_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00479">coupled_ode_system.hpp:479</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_a4c5d0452b3d0655d86139a2a7cce6a13"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a4c5d0452b3d0655d86139a2a7cce6a13">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::theta_dbl_</a></div><div class="ttdeci">const std::vector&lt; double &gt; &amp; theta_dbl_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00266">coupled_ode_system.hpp:266</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_ab3ed90ba43337909ed3a7198a4d070f4"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ab3ed90ba43337909ed3a7198a4d070f4">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::operator()</a></div><div class="ttdeci">void operator()(const std::vector&lt; double &gt; &amp;z, std::vector&lt; double &gt; &amp;dz_dt, double t)</div><div class="ttdoc">Calculates the derivative of the coupled ode system with respect to the state y at time t...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00323">coupled_ode_system.hpp:323</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_abaa6f106d429e6bb6b5a4a7947556cc2"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#abaa6f106d429e6bb6b5a4a7947556cc2">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::operator()</a></div><div class="ttdeci">void operator()(const std::vector&lt; double &gt; &amp;z, std::vector&lt; double &gt; &amp;dz_dt, double t)</div><div class="ttdoc">Assign the derivative vector with the system derivatives at the specified state and time...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00124">coupled_ode_system.hpp:124</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2mdivide__left_8hpp_html_ac7022caeebffc39337bdfd893db75983"><div class="ttname"><a href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a></div><div class="ttdeci">int M_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2mdivide__left_8hpp_source.html#l00019">mdivide_left.hpp:19</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_afedc7496fd5c35ba1e8325d71c8100be"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#afedc7496fd5c35ba1e8325d71c8100be">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::f_</a></div><div class="ttdeci">const F &amp; f_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00475">coupled_ode_system.hpp:475</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2dot__self_8hpp_html_a5f31775800bbb46b35b5791def1f3acc"><div class="ttname"><a href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a></div><div class="ttdeci">size_t size_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2dot__self_8hpp_source.html#l00018">dot_self.hpp:18</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_a90f14fa30557743ca18115488de7f59e"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a90f14fa30557743ca18115488de7f59e">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::initial_state</a></div><div class="ttdeci">std::vector&lt; double &gt; initial_state()</div><div class="ttdoc">Returns the initial state of the coupled system. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00398">coupled_ode_system.hpp:398</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_aa09103f609e2d9bc433071465f9c1b9f"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa09103f609e2d9bc433071465f9c1b9f">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::coupled_ode_system</a></div><div class="ttdeci">coupled_ode_system(const F &amp;f, const std::vector&lt; stan::math::var &gt; &amp;y0, const std::vector&lt; double &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</div><div class="ttdoc">Construct a coupled ODE system for an unknown initial state and known parameters givne the specified ...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00287">coupled_ode_system.hpp:287</a></div></div>
+<div class="ttc" id="check__equal_8hpp_html"><div class="ttname"><a href="check__equal_8hpp.html">check_equal.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_a27a807c37bfbd4c8f0b9fd8674c26d51"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a27a807c37bfbd4c8f0b9fd8674c26d51">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::N_</a></div><div class="ttdeci">const size_t N_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00482">coupled_ode_system.hpp:482</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_ac2046745fac3341408eb20d04fbd8340"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac2046745fac3341408eb20d04fbd8340">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::N_</a></div><div class="ttdeci">const size_t N_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00070">coupled_ode_system.hpp:70</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_a26ef004ef67b43c6df80664bd3453108"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a26ef004ef67b43c6df80664bd3453108">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::size_</a></div><div class="ttdeci">const size_t size_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00272">coupled_ode_system.hpp:272</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_a1d598b9ae88d390a54ed701bc9752999"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a1d598b9ae88d390a54ed701bc9752999">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::msgs_</a></div><div class="ttdeci">std::ostream * msgs_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00073">coupled_ode_system.hpp:73</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_ada8b248f756fe67a56635aeedd546386"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada8b248f756fe67a56635aeedd546386">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::x_int_</a></div><div class="ttdeci">const std::vector&lt; int &gt; &amp; x_int_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00268">coupled_ode_system.hpp:268</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1d8cfae284cdae1bb7e83d2a136f9a04"><div class="ttname"><a href="namespacestan_1_1math.html#a1d8cfae284cdae1bb7e83d2a136f9a04">stan::math::check_equal</a></div><div class="ttdeci">bool check_equal(const char *function, const char *name, const T_y &amp;y, const T_eq &amp;eq)</div><div class="ttdoc">Return true if y is equal to eq. </div><div class="ttdef"><b>Definition:</b> <a href="check__equal_8hpp_source.html#l00090">check_equal.hpp:90</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_abcd5c75ee971a0346ce26db1fb99d8f2"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#abcd5c75ee971a0346ce26db1fb99d8f2">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::M_</a></div><div class="ttdeci">const size_t M_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00483">coupled_ode_system.hpp:483</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_ac10d0e5efa43f212517bfbec68a92027"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac10d0e5efa43f212517bfbec68a92027">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::y0_dbl_</a></div><div class="ttdeci">const std::vector&lt; double &gt; &amp; y0_dbl_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00065">coupled_ode_system.hpp:65</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1a238bf34fdfe67aa84300d9822f34be"><div class="ttname"><a href="namespacestan_1_1math.html#a1a238bf34fdfe67aa84300d9822f34be">stan::math::add_initial_values</a></div><div class="ttdeci">void add_initial_values(const std::vector&lt; stan::math::var &gt; &amp;y0, std::vector&lt; std::vector&lt; stan::math::var &gt; &gt; &amp;y)</div><div class="ttdoc">Increment the state derived from the coupled system in the with the original initial state...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00034">coupled_ode_system.hpp:34</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_aab54fc7a8d0427f32fccc3dcf16fa616"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aab54fc7a8d0427f32fccc3dcf16fa616">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::x_</a></div><div class="ttdeci">const std::vector&lt; double &gt; &amp; x_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00480">coupled_ode_system.hpp:480</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_aa69a8f9f7d6ecd19c32082fc8981dd2d"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa69a8f9f7d6ecd19c32082fc8981dd2d">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::x_int_</a></div><div class="ttdeci">const std::vector&lt; int &gt; &amp; x_int_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00069">coupled_ode_system.hpp:69</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_a315e28cc50d328c6b384142310e9721b"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a315e28cc50d328c6b384142310e9721b">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::f_</a></div><div class="ttdeci">const F &amp; f_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00263">coupled_ode_system.hpp:263</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_ae3694159ee6e355b556004bfbc850411"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae3694159ee6e355b556004bfbc850411">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::y0_</a></div><div class="ttdeci">const std::vector&lt; stan::math::var &gt; &amp; y0_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00476">coupled_ode_system.hpp:476</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_aa338d8c630209cd7d8d98334acfa03ba"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aa338d8c630209cd7d8d98334acfa03ba">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::initial_state</a></div><div class="ttdeci">std::vector&lt; double &gt; initial_state()</div><div class="ttdoc">Returns the initial state of the coupled system. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00615">coupled_ode_system.hpp:615</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_a25abbeca623eef4288f891dad5f9aef4"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a25abbeca623eef4288f891dad5f9aef4">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::theta_</a></div><div class="ttdeci">const std::vector&lt; stan::math::var &gt; &amp; theta_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00478">coupled_ode_system.hpp:478</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_ae9edecb8350c8aefd15c59c7e476e87d"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae9edecb8350c8aefd15c59c7e476e87d">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::coupled_ode_system</a></div><div class="ttdeci">coupled_ode_system(const F &amp;f, const std::vector&lt; stan::math::var &gt; &amp;y0, const std::vector&lt; stan::math::var &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</div><div class="ttdoc">Construct a coupled ODE system with unknown initial value and known parameters, given the base ODE sy...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00500">coupled_ode_system.hpp:500</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_aa6c3adcb5d16141d88f7c59f57794980"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa6c3adcb5d16141d88f7c59f57794980">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::N_</a></div><div class="ttdeci">const size_t N_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00270">coupled_ode_system.hpp:270</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_af3c0dd60d8c28b3beb59f62d91b7c751"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#af3c0dd60d8c28b3beb59f62d91b7c751">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::x_</a></div><div class="ttdeci">const std::vector&lt; double &gt; &amp; x_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00267">coupled_ode_system.hpp:267</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_aaeeda24d0c36ffb66a27144aff0665c1"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aaeeda24d0c36ffb66a27144aff0665c1">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::operator()</a></div><div class="ttdeci">void operator()(const std::vector&lt; double &gt; &amp;z, std::vector&lt; double &gt; &amp;dz_dt, double t)</div><div class="ttdoc">Populates the derivative vector with derivatives of the coupled ODE system state with respect to time...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00540">coupled_ode_system.hpp:540</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_ad7ffb5050618453920b1d961b2bc6b58"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ad7ffb5050618453920b1d961b2bc6b58">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::x_</a></div><div class="ttdeci">const std::vector&lt; double &gt; &amp; x_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00068">coupled_ode_system.hpp:68</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_html"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a></div><div class="ttdoc">Base template class for a coupled ordinary differential equation system, which adds sensitivities to ...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00025">coupled_ode_system.hpp:25</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8ebf2b2bc0f63dcb46a176b43e8b369a"><div class="ttname"><a href="namespacestan_1_1math.html#a8ebf2b2bc0f63dcb46a176b43e8b369a">stan::math::recover_memory_nested</a></div><div class="ttdeci">static void recover_memory_nested()</div><div class="ttdoc">Recover only the memory used for the top nested call. </div><div class="ttdef"><b>Definition:</b> <a href="recover__memory__nested_8hpp_source.html#l00020">recover_memory_nested.hpp:20</a></div></div>
+<div class="ttc" id="prim_2arr_2functor_2coupled__ode__system_8hpp_html"><div class="ttname"><a href="prim_2arr_2functor_2coupled__ode__system_8hpp.html">coupled_ode_system.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_aa7ccd9be4ab9be8769513a3deef42c6c"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa7ccd9be4ab9be8769513a3deef42c6c">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::y0_</a></div><div class="ttdeci">const std::vector&lt; stan::math::var &gt; &amp; y0_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00264">coupled_ode_system.hpp:264</a></div></div>
+<div class="ttc" id="arr_2meta_2get_8hpp_html"><div class="ttname"><a href="arr_2meta_2get_8hpp.html">get.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_abd51105f9c70eaa4e41604db57814b5d"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#abd51105f9c70eaa4e41604db57814b5d">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::M_</a></div><div class="ttdeci">const size_t M_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00271">coupled_ode_system.hpp:271</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_a072fc6585021385a59831dfef70c8fa1"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a072fc6585021385a59831dfef70c8fa1">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::size_</a></div><div class="ttdeci">const size_t size_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00072">coupled_ode_system.hpp:72</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_a727d49ad4fc2fdede1cce76919940f8d"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a727d49ad4fc2fdede1cce76919940f8d">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::y0_dbl_</a></div><div class="ttdeci">std::vector&lt; double &gt; y0_dbl_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00265">coupled_ode_system.hpp:265</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4_html_ada6e883cd3d290c2cf77df7a1c6940dc"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada6e883cd3d290c2cf77df7a1c6940dc">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;::size</a></div><div class="ttdeci">size_t size() const </div><div class="ttdoc">Returns the size of the coupled system. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00380">coupled_ode_system.hpp:380</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2mdivide__left_8hpp_html_a733553beee6dadc63ea8c537055a9e04"><div class="ttname"><a href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a></div><div class="ttdeci">int N_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2mdivide__left_8hpp_source.html#l00020">mdivide_left.hpp:20</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4_html_ace943e49e8e81900dba84aa7ad248e1d"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ace943e49e8e81900dba84aa7ad248e1d">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;::M_</a></div><div class="ttdeci">const size_t M_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00071">coupled_ode_system.hpp:71</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_a98451e6ddfb64254c8bfbc6a6f4055a9"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a98451e6ddfb64254c8bfbc6a6f4055a9">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::size_</a></div><div class="ttdeci">const size_t size_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00484">coupled_ode_system.hpp:484</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_a1ff2fd5ed7f65a31079b8ad3fa931bda"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a1ff2fd5ed7f65a31079b8ad3fa931bda">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::size</a></div><div class="ttdeci">size_t size() const </div><div class="ttdoc">Returns the size of the coupled system. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00600">coupled_ode_system.hpp:600</a></div></div>
+<div class="ttc" id="rev_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4_html_a0330e9773cc8d53aa0c0696e5ce731dd"><div class="ttname"><a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a0330e9773cc8d53aa0c0696e5ce731dd">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;::x_int_</a></div><div class="ttdeci">const std::vector&lt; int &gt; &amp; x_int_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00481">coupled_ode_system.hpp:481</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad4a72c89ed9143a7760cc3611e8a0df0"><div class="ttname"><a href="namespacestan_1_1math.html#ad4a72c89ed9143a7760cc3611e8a0df0">stan::math::start_nested</a></div><div class="ttdeci">static void start_nested()</div><div class="ttdoc">Record the current position so that recover_memory_nested() can find it. </div><div class="ttdef"><b>Definition:</b> <a href="start__nested_8hpp_source.html#l00013">start_nested.hpp:13</a></div></div>
+<div class="ttc" id="arr_2meta_2length_8hpp_html"><div class="ttname"><a href="arr_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2partials__type_8hpp_source.html">stan/math/rev/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2arr_8hpp_source.html">stan/math/prim/arr.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_8hpp_source.html">stan/math/rev/scal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2arr_2fun_2log__sum__exp_8hpp_source.html">stan/math/rev/arr/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2fun_2to__var_8hpp_source.html">stan/math/rev/arr/fun/to_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="decouple__ode__states_8hpp_source.html">stan/math/rev/arr/fun/decouple_ode_states.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">stan/math/rev/arr/functor/coupled_ode_system.hpp</a>&gt;</code><br />
+</div>
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+<a href="rev_2arr_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_ARR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_ARR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2is__var_8hpp.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2partials__type_8hpp.html">stan/math/rev/scal/meta/partials_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2arr_8hpp.html">stan/math/prim/arr.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_8hpp.html">stan/math/rev/scal.hpp</a>&gt;</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vv__vari_8hpp_source.html">stan/math/rev/core/vv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vd__vari_8hpp_source.html">stan/math/rev/core/vd_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="rev_2core_2operator__addition_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:afcb4c7bced043de79d94676dac3cfc4b"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afcb4c7bced043de79d94676dac3cfc4b">stan::math::operator+</a> (const var &amp;a, const var &amp;b)</td></tr>
+<tr class="memdesc:afcb4c7bced043de79d94676dac3cfc4b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Addition operator for variables (C++).  <a href="namespacestan_1_1math.html#afcb4c7bced043de79d94676dac3cfc4b">More...</a><br /></td></tr>
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+<tr class="memdesc:ab7ec1a6c24e3a21e00c42142d582d944"><td class="mdescLeft">&#160;</td><td class="mdescRight">Addition operator for variable and scalar (C++).  <a href="namespacestan_1_1math.html#ab7ec1a6c24e3a21e00c42142d582d944">More...</a><br /></td></tr>
+<tr class="separator:ab7ec1a6c24e3a21e00c42142d582d944"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:abe2a79efe1e8415fb532a27b26406798"><td class="mdescLeft">&#160;</td><td class="mdescRight">Addition operator for scalar and variable (C++).  <a href="namespacestan_1_1math.html#abe2a79efe1e8415fb532a27b26406798">More...</a><br /></td></tr>
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+<a href="rev_2core_2operator__addition_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_ADDITION_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vv__vari_8hpp_source.html">stan/math/rev/core/vv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vd__vari_8hpp_source.html">stan/math/rev/core/vd_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="dv__vari_8hpp_source.html">stan/math/rev/core/dv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="rev_2core_2operator__division_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac15f9adeb9753deea83b30e18aaf8e98"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac15f9adeb9753deea83b30e18aaf8e98">stan::math::operator/</a> (const var &amp;a, const var &amp;b)</td></tr>
+<tr class="memdesc:ac15f9adeb9753deea83b30e18aaf8e98"><td class="mdescLeft">&#160;</td><td class="mdescRight">Division operator for two variables (C++).  <a href="namespacestan_1_1math.html#ac15f9adeb9753deea83b30e18aaf8e98">More...</a><br /></td></tr>
+<tr class="separator:ac15f9adeb9753deea83b30e18aaf8e98"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:aa12be933cc2e01e203a6ffa09508d319"><td class="mdescLeft">&#160;</td><td class="mdescRight">Division operator for dividing a variable by a scalar (C++).  <a href="namespacestan_1_1math.html#aa12be933cc2e01e203a6ffa09508d319">More...</a><br /></td></tr>
+<tr class="separator:aa12be933cc2e01e203a6ffa09508d319"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a81ad2fbfb99eb063eda9ef0b466b2014"><td class="mdescLeft">&#160;</td><td class="mdescRight">Division operator for dividing a scalar by a variable (C++).  <a href="namespacestan_1_1math.html#a81ad2fbfb99eb063eda9ef0b466b2014">More...</a><br /></td></tr>
+<tr class="separator:a81ad2fbfb99eb063eda9ef0b466b2014"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_81fe1b6a702402bcbe6f5ecda25eb5ba.html">core</a></li>  </ul>
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+<div class="title">operator_division.hpp</div>  </div>
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+<a href="rev_2core_2operator__division_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_DIVISION_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_OPERATOR_DIVISION_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="var_8hpp.html">stan/math/rev/core/var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vv__vari_8hpp.html">stan/math/rev/core/vv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vd__vari_8hpp.html">stan/math/rev/core/vd_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="dv__vari_8hpp.html">stan/math/rev/core/dv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="comment">// (a/b)&#39; = a&#39; * (1 / b) - b&#39; * (a / [b * b])</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">class </span>divide_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        divide_vv_vari(vari* avi, vari* bvi) :</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;          op_vv_vari(avi-&gt;val_ / bvi-&gt;val_, avi, bvi) {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        }</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(avi_-&gt;val_)</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                       || <a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(bvi_-&gt;val_))) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;            avi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;            bvi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;          } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;            avi_-&gt;adj_ += adj_ / bvi_-&gt;val_;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;            bvi_-&gt;adj_ -= adj_ * avi_-&gt;val_ / (bvi_-&gt;val_ * bvi_-&gt;val_);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;          }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        }</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      };</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">class </span>divide_vd_vari : <span class="keyword">public</span> op_vd_vari {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        divide_vd_vari(vari* avi, <span class="keywordtype">double</span> b) :</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;          op_vd_vari(avi-&gt;val_ / b, avi, b) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        }</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(avi_-&gt;val_)</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                       || <a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(bd_)))</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;            avi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;          <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            avi_-&gt;adj_ += adj_ / bd_;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        }</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      };</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">class </span>divide_dv_vari : <span class="keyword">public</span> op_dv_vari {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        divide_dv_vari(<span class="keywordtype">double</span> a, vari* bvi) :</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          op_dv_vari(a / bvi-&gt;val_, a, bvi) {</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;          bvi_-&gt;adj_ -= adj_ * ad_ / (bvi_-&gt;val_ * bvi_-&gt;val_);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        }</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      };</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac15f9adeb9753deea83b30e18aaf8e98">   96</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a1eba6f623c3c2c0714e2eabbae90290f">operator/</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a, <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b) {</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> divide_vv_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, b.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    }</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa12be933cc2e01e203a6ffa09508d319">  111</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a1eba6f623c3c2c0714e2eabbae90290f">operator/</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a, <span class="keyword">const</span> <span class="keywordtype">double</span> b) {</div>
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+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keywordflow">return</span> a;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> divide_vd_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, b));</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    }</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
+<div class="line"><a name="l00128"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a81ad2fbfb99eb063eda9ef0b466b2014">  128</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a1eba6f623c3c2c0714e2eabbae90290f">operator/</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> a, <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b) {</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> divide_dv_vari(a, b.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    }</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  }</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;}</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="dv__vari_8hpp_html"><div class="ttname"><a href="dv__vari_8hpp.html">dv_vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1eba6f623c3c2c0714e2eabbae90290f"><div class="ttname"><a href="namespacestan_1_1math.html#a1eba6f623c3c2c0714e2eabbae90290f">stan::math::operator/</a></div><div class="ttdeci">fvar&lt; T &gt; operator/(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2operator__division_8hpp_source.html#l00014">operator_division.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="vd__vari_8hpp_html"><div class="ttname"><a href="vd__vari_8hpp.html">vd_vari.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a9ec9f6ad1870e35178068fd12a0d04ea"><div class="ttname"><a href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a></div><div class="ttdeci">bool isnan(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is NaN. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isnan_8hpp_source.html#l00022">boost_isnan.hpp:22</a></div></div>
+<div class="ttc" id="likely_8hpp_html_a58059a6664c486561d2641a07440ad1a"><div class="ttname"><a href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a></div><div class="ttdeci">#define unlikely(x)  </div><div class="ttdef"><b>Definition:</b> <a href="likely_8hpp_source.html#l00009">likely.hpp:9</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
+<div class="ttc" id="vv__vari_8hpp_html"><div class="ttname"><a href="vv__vari_8hpp.html">vv_vari.hpp</a></div></div>
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+<tr class="memdesc:a62e8c00dc01b2df161d0d242c124b046"><td class="mdescLeft">&#160;</td><td class="mdescRight">Equality operator comparing two variables' values (C++).  <a href="namespacestan_1_1math.html#a62e8c00dc01b2df161d0d242c124b046">More...</a><br /></td></tr>
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+<tr class="memdesc:ad239b56697788a42a944361e26b56e56"><td class="mdescLeft">&#160;</td><td class="mdescRight">Equality operator comparing a variable's value and a double (C++).  <a href="namespacestan_1_1math.html#ad239b56697788a42a944361e26b56e56">More...</a><br /></td></tr>
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+<tr class="memdesc:add97c0c3a895203b8ab3205aca59d088"><td class="mdescLeft">&#160;</td><td class="mdescRight">Equality operator comparing a scalar and a variable's value (C++).  <a href="namespacestan_1_1math.html#add97c0c3a895203b8ab3205aca59d088">More...</a><br /></td></tr>
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+<tr class="memdesc:a465afbe6fb2692b02b60d9760e5cbda9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Greater than operator comparing variables' values (C++).  <a href="namespacestan_1_1math.html#a465afbe6fb2692b02b60d9760e5cbda9">More...</a><br /></td></tr>
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+<tr class="memdesc:a361d2b2ac2c39919dc71183312855c92"><td class="mdescLeft">&#160;</td><td class="mdescRight">Greater than operator comparing variable's value and double (C++).  <a href="namespacestan_1_1math.html#a361d2b2ac2c39919dc71183312855c92">More...</a><br /></td></tr>
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+<tr class="memdesc:a34b9438d0ef1f58b41a228a1154308aa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Greater than operator comparing a double and a variable's value (C++).  <a href="namespacestan_1_1math.html#a34b9438d0ef1f58b41a228a1154308aa">More...</a><br /></td></tr>
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+<tr class="memdesc:a938fb84cef113596828ad131e513fa1e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Greater than or equal operator comparing two variables' values (C++).  <a href="namespacestan_1_1math.html#a938fb84cef113596828ad131e513fa1e">More...</a><br /></td></tr>
+<tr class="separator:a938fb84cef113596828ad131e513fa1e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a055bb2d4f3560761f3383b0f499e7fe7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Greater than or equal operator comparing variable's value and double (C++).  <a href="namespacestan_1_1math.html#a055bb2d4f3560761f3383b0f499e7fe7">More...</a><br /></td></tr>
+<tr class="separator:a055bb2d4f3560761f3383b0f499e7fe7"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a4492a18f751e82a980740f7beac0e025"><td class="mdescLeft">&#160;</td><td class="mdescRight">Greater than or equal operator comparing double and variable's value (C++).  <a href="namespacestan_1_1math.html#a4492a18f751e82a980740f7beac0e025">More...</a><br /></td></tr>
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+<a href="rev_2core_2operator__greater__than__or__equal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_GREATER_THAN_OR_EQUAL_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
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+<tr class="memdesc:a021f473185983f63d23ee362605249d8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Less than operator comparing variable's value and a double (C++).  <a href="namespacestan_1_1math.html#a021f473185983f63d23ee362605249d8">More...</a><br /></td></tr>
+<tr class="separator:a021f473185983f63d23ee362605249d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:aec5a959d8186caa585d5922a4facf649"><td class="mdescLeft">&#160;</td><td class="mdescRight">Less than operator comparing a double and variable's value (C++).  <a href="namespacestan_1_1math.html#aec5a959d8186caa585d5922a4facf649">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
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+<tr class="memdesc:aee09427479a707c4e715677d5036307b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Less than or equal operator comparing two variables' values (C++).  <a href="namespacestan_1_1math.html#aee09427479a707c4e715677d5036307b">More...</a><br /></td></tr>
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+<tr class="memdesc:a1f46c552a80c056955c460a1796d724d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Less than or equal operator comparing a variable's value and a scalar (C++).  <a href="namespacestan_1_1math.html#a1f46c552a80c056955c460a1796d724d">More...</a><br /></td></tr>
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+<tr class="memitem:a79e6962678ac8407d6d004c48988c1a2"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a79e6962678ac8407d6d004c48988c1a2">stan::math::operator&lt;=</a> (const double a, const var &amp;b)</td></tr>
+<tr class="memdesc:a79e6962678ac8407d6d004c48988c1a2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Less than or equal operator comparing a double and variable's value (C++).  <a href="namespacestan_1_1math.html#a79e6962678ac8407d6d004c48988c1a2">More...</a><br /></td></tr>
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+<div class="title">operator_less_than_or_equal.hpp</div>  </div>
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+<a href="rev_2core_2operator__less__than__or__equal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_LESS_THAN_OR_EQUAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_OPERATOR_LESS_THAN_OR_EQUAL_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="var_8hpp.html">stan/math/rev/core/var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aee09427479a707c4e715677d5036307b">   26</a></span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a450ef8aaef08c3137f70a087ae3905c6">operator&lt;=</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a, <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b) {</div>
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+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">return</span> a &lt;= b.<a class="code" href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">val</a>();</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    }</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;  }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;}</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a450ef8aaef08c3137f70a087ae3905c6"><div class="ttname"><a href="namespacestan_1_1math.html#a450ef8aaef08c3137f70a087ae3905c6">stan::math::operator&lt;=</a></div><div class="ttdeci">bool operator&lt;=(const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;y)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2operator__less__than__or__equal_8hpp_source.html#l00014">operator_less_than_or_equal.hpp:14</a></div></div>
+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
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+<div class="title">operator_multiplication.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vv__vari_8hpp_source.html">stan/math/rev/core/vv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vd__vari_8hpp_source.html">stan/math/rev/core/vd_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="rev_2core_2operator__multiplication_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:a436203414c825bb8765ea82786313909"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication operator for two variables (C++).  <a href="namespacestan_1_1math.html#a436203414c825bb8765ea82786313909">More...</a><br /></td></tr>
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+<tr class="memdesc:ae63dc18994ab79b22ff3f6a37fe784db"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication operator for a variable and a scalar (C++).  <a href="namespacestan_1_1math.html#ae63dc18994ab79b22ff3f6a37fe784db">More...</a><br /></td></tr>
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+<tr class="memdesc:aa6de4291925b8d2f8a7060617e276c5e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Multiplication operator for a scalar and a variable (C++).  <a href="namespacestan_1_1math.html#aa6de4291925b8d2f8a7060617e276c5e">More...</a><br /></td></tr>
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+<div class="title">operator_multiplication.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2core_2operator__multiplication_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_MULTIPLICATION_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_OPERATOR_MULTIPLICATION_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="var_8hpp.html">stan/math/rev/core/var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vv__vari_8hpp.html">stan/math/rev/core/vv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vd__vari_8hpp.html">stan/math/rev/core/vd_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keyword">class </span>multiply_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        multiply_vv_vari(vari* avi, vari* bvi) :</div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">class </span>multiply_vd_vari : <span class="keyword">public</span> op_vd_vari {</div>
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+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
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+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
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+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    }</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="vd__vari_8hpp_html"><div class="ttname"><a href="vd__vari_8hpp.html">vd_vari.hpp</a></div></div>
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+<div class="ttc" id="namespaceboost_1_1math_html_a9ec9f6ad1870e35178068fd12a0d04ea"><div class="ttname"><a href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a></div><div class="ttdeci">bool isnan(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is NaN. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isnan_8hpp_source.html#l00022">boost_isnan.hpp:22</a></div></div>
+<div class="ttc" id="likely_8hpp_html_a58059a6664c486561d2641a07440ad1a"><div class="ttname"><a href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a></div><div class="ttdeci">#define unlikely(x)  </div><div class="ttdef"><b>Definition:</b> <a href="likely_8hpp_source.html#l00009">likely.hpp:9</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
+<div class="ttc" id="vv__vari_8hpp_html"><div class="ttname"><a href="vv__vari_8hpp.html">vv_vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_afcc9ba66175e049c6020fe363231d694"><div class="ttname"><a href="namespacestan_1_1math.html#afcc9ba66175e049c6020fe363231d694">stan::math::operator*</a></div><div class="ttdeci">fvar&lt; T &gt; operator*(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2operator__multiplication_8hpp_source.html#l00014">operator_multiplication.hpp:14</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<tr class="memdesc:ae23eb5d64637b32c92292456aa006ff0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inequality operator comparing two variables' values (C++).  <a href="namespacestan_1_1math.html#ae23eb5d64637b32c92292456aa006ff0">More...</a><br /></td></tr>
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+<tr class="memdesc:a570111dc15835a88afcfb8130b4746fd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inequality operator comparing a variable's value and a double (C++).  <a href="namespacestan_1_1math.html#a570111dc15835a88afcfb8130b4746fd">More...</a><br /></td></tr>
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+<tr class="memdesc:aa6464b66683b8cf12702e71c155853b7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Inequality operator comparing a double and a variable's value (C++).  <a href="namespacestan_1_1math.html#aa6464b66683b8cf12702e71c155853b7">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vv__vari_8hpp_source.html">stan/math/rev/core/vv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vd__vari_8hpp_source.html">stan/math/rev/core/vd_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="dv__vari_8hpp_source.html">stan/math/rev/core/dv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="rev_2core_2operator__subtraction_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:a971b741313ecc65a639076acc188614a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtraction operator for variables (C++).  <a href="namespacestan_1_1math.html#a971b741313ecc65a639076acc188614a">More...</a><br /></td></tr>
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+<tr class="memdesc:abec4b5043616cea0be01ee41fd899198"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtraction operator for variable and scalar (C++).  <a href="namespacestan_1_1math.html#abec4b5043616cea0be01ee41fd899198">More...</a><br /></td></tr>
+<tr class="separator:abec4b5043616cea0be01ee41fd899198"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a9586c6690c5088deedcbac089158960a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Subtraction operator for scalar and variable (C++).  <a href="namespacestan_1_1math.html#a9586c6690c5088deedcbac089158960a">More...</a><br /></td></tr>
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+<a href="rev_2core_2operator__subtraction_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_OPERATOR_SUBTRACTION_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_OPERATOR_SUBTRACTION_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="var_8hpp.html">stan/math/rev/core/var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vv__vari_8hpp.html">stan/math/rev/core/vv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vd__vari_8hpp.html">stan/math/rev/core/vd_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="dv__vari_8hpp.html">stan/math/rev/core/dv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">namespace </span>{</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;  <span class="keyword">template</span>&lt;&gt;</div>
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+<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a48d4f72d9050f2ffa14e92db913c3f9c">   38</a></span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> has_infinity = numeric_limits&lt;double&gt;::has_infinity;</div>
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+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> has_signaling_NaN</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">static</span> <span class="keyword">const</span> float_denorm_style has_denorm</div>
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+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4_html_a8d71ee2cb09cc89fbc145616d5123f80"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a8d71ee2cb09cc89fbc145616d5123f80">std::numeric_limits&lt; stan::math::var &gt;::min</a></div><div class="ttdeci">static stan::math::var min()</div><div class="ttdef"><b>Definition:</b> <a href="rev_2core_2std__numeric__limits_8hpp_source.html#l00018">std_numeric_limits.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3f076860549f63d55c0e4985dce78099"><div class="ttname"><a href="namespacestan_1_1math.html#a3f076860549f63d55c0e4985dce78099">stan::math::min</a></div><div class="ttdeci">int min(const std::vector&lt; int &gt; &amp;x)</div><div class="ttdoc">Returns the minimum coefficient in the specified column vector. </div><div class="ttdef"><b>Definition:</b> <a href="min_8hpp_source.html#l00020">min.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4_html_abe18cd7f77ecf062347231ef1193d404"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#abe18cd7f77ecf062347231ef1193d404">std::numeric_limits&lt; stan::math::var &gt;::signaling_NaN</a></div><div class="ttdeci">static stan::math::var signaling_NaN()</div><div class="ttdef"><b>Definition:</b> <a href="rev_2core_2std__numeric__limits_8hpp_source.html#l00051">std_numeric_limits.hpp:51</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4_html_ac3591cae0c363bded19db83484c03d9e"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ac3591cae0c363bded19db83484c03d9e">std::numeric_limits&lt; stan::math::var &gt;::round_error</a></div><div class="ttdeci">static stan::math::var round_error()</div><div class="ttdef"><b>Definition:</b> <a href="rev_2core_2std__numeric__limits_8hpp_source.html#l00029">std_numeric_limits.hpp:29</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4_html_a3fbd271621effc1cd6c5ba6529f88ec9"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a3fbd271621effc1cd6c5ba6529f88ec9">std::numeric_limits&lt; stan::math::var &gt;::quiet_NaN</a></div><div class="ttdeci">static stan::math::var quiet_NaN()</div><div class="ttdef"><b>Definition:</b> <a href="rev_2core_2std__numeric__limits_8hpp_source.html#l00048">std_numeric_limits.hpp:48</a></div></div>
+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5da0ef87756d3dbd20ca4ff5a3efa10d"><div class="ttname"><a href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">stan::math::max</a></div><div class="ttdeci">int max(const std::vector&lt; int &gt; &amp;x)</div><div class="ttdoc">Returns the maximum coefficient in the specified column vector. </div><div class="ttdef"><b>Definition:</b> <a href="max_8hpp_source.html#l00021">max.hpp:21</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4_html_a9721f6791342af12c178669b3ed87ccc"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a9721f6791342af12c178669b3ed87ccc">std::numeric_limits&lt; stan::math::var &gt;::epsilon</a></div><div class="ttdeci">static stan::math::var epsilon()</div><div class="ttdef"><b>Definition:</b> <a href="rev_2core_2std__numeric__limits_8hpp_source.html#l00026">std_numeric_limits.hpp:26</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4_html_a7ac4e8fcb64946415100aa2ff28799ee"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a7ac4e8fcb64946415100aa2ff28799ee">std::numeric_limits&lt; stan::math::var &gt;::max</a></div><div class="ttdeci">static stan::math::var max()</div><div class="ttdef"><b>Definition:</b> <a href="rev_2core_2std__numeric__limits_8hpp_source.html#l00019">std_numeric_limits.hpp:19</a></div></div>
+<div class="ttc" id="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4_html_a124f44266afc97648e4d3cb9f1379090"><div class="ttname"><a href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a124f44266afc97648e4d3cb9f1379090">std::numeric_limits&lt; stan::math::var &gt;::infinity</a></div><div class="ttdeci">static stan::math::var infinity()</div><div class="ttdef"><b>Definition:</b> <a href="rev_2core_2std__numeric__limits_8hpp_source.html#l00045">std_numeric_limits.hpp:45</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="autodiffstackstorage_8hpp_source.html">stan/math/rev/core/autodiffstackstorage.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chainable__alloc_8hpp_source.html">stan/math/rev/core/chainable_alloc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chainablestack_8hpp_source.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ddv__vari_8hpp_source.html">stan/math/rev/core/ddv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="dv__vari_8hpp_source.html">stan/math/rev/core/dv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="dvd__vari_8hpp_source.html">stan/math/rev/core/dvd_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="dvv__vari_8hpp_source.html">stan/math/rev/core/dvv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="empty__nested_8hpp_source.html">stan/math/rev/core/empty_nested.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="gevv__vvv__vari_8hpp_source.html">stan/math/rev/core/gevv_vvv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="core_2grad_8hpp_source.html">stan/math/rev/core/grad.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="matrix__vari_8hpp_source.html">stan/math/rev/core/matrix_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="nested__size_8hpp_source.html">stan/math/rev/core/nested_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__addition_8hpp_source.html">stan/math/rev/core/operator_addition.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="operator__divide__equal_8hpp_source.html">stan/math/rev/core/operator_divide_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__division_8hpp_source.html">stan/math/rev/core/operator_division.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__equal_8hpp_source.html">stan/math/rev/core/operator_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__greater__than_8hpp_source.html">stan/math/rev/core/operator_greater_than.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__greater__than__or__equal_8hpp_source.html">stan/math/rev/core/operator_greater_than_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__less__than_8hpp_source.html">stan/math/rev/core/operator_less_than.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__less__than__or__equal_8hpp_source.html">stan/math/rev/core/operator_less_than_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="operator__minus__equal_8hpp_source.html">stan/math/rev/core/operator_minus_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__multiplication_8hpp_source.html">stan/math/rev/core/operator_multiplication.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="operator__multiply__equal_8hpp_source.html">stan/math/rev/core/operator_multiply_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__not__equal_8hpp_source.html">stan/math/rev/core/operator_not_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="operator__plus__equal_8hpp_source.html">stan/math/rev/core/operator_plus_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2operator__subtraction_8hpp_source.html">stan/math/rev/core/operator_subtraction.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="operator__unary__decrement_8hpp_source.html">stan/math/rev/core/operator_unary_decrement.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="operator__unary__increment_8hpp_source.html">stan/math/rev/core/operator_unary_increment.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="operator__unary__negative_8hpp_source.html">stan/math/rev/core/operator_unary_negative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="operator__unary__not_8hpp_source.html">stan/math/rev/core/operator_unary_not.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="operator__unary__plus_8hpp_source.html">stan/math/rev/core/operator_unary_plus.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="precomp__v__vari_8hpp_source.html">stan/math/rev/core/precomp_v_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="precomp__vv__vari_8hpp_source.html">stan/math/rev/core/precomp_vv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="precomp__vvv__vari_8hpp_source.html">stan/math/rev/core/precomp_vvv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="precomputed__gradients_8hpp_source.html">stan/math/rev/core/precomputed_gradients.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="print__stack_8hpp_source.html">stan/math/rev/core/print_stack.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="recover__memory_8hpp_source.html">stan/math/rev/core/recover_memory.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="recover__memory__nested_8hpp_source.html">stan/math/rev/core/recover_memory_nested.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="set__zero__all__adjoints_8hpp_source.html">stan/math/rev/core/set_zero_all_adjoints.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="set__zero__all__adjoints__nested_8hpp_source.html">stan/math/rev/core/set_zero_all_adjoints_nested.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="start__nested_8hpp_source.html">stan/math/rev/core/start_nested.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="std__isinf_8hpp_source.html">stan/math/rev/core/std_isinf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="std__isnan_8hpp_source.html">stan/math/rev/core/std_isnan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">stan/math/rev/core/std_numeric_limits.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="stored__gradient__vari_8hpp_source.html">stan/math/rev/core/stored_gradient_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="v__vari_8hpp_source.html">stan/math/rev/core/v_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vari_8hpp_source.html">stan/math/rev/core/vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vd__vari_8hpp_source.html">stan/math/rev/core/vd_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vdd__vari_8hpp_source.html">stan/math/rev/core/vdd_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vdv__vari_8hpp_source.html">stan/math/rev/core/vdv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vector__vari_8hpp_source.html">stan/math/rev/core/vector_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vv__vari_8hpp_source.html">stan/math/rev/core/vv_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vvd__vari_8hpp_source.html">stan/math/rev/core/vvd_vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="vvv__vari_8hpp_source.html">stan/math/rev/core/vvv_vari.hpp</a>&gt;</code><br />
+</div>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chainable__alloc_8hpp.html">stan/math/rev/core/chainable_alloc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chainablestack_8hpp.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ddv__vari_8hpp.html">stan/math/rev/core/ddv_vari.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="operator__plus__equal_8hpp.html">stan/math/rev/core/operator_plus_equal.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="operator__unary__decrement_8hpp.html">stan/math/rev/core/operator_unary_decrement.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="operator__unary__increment_8hpp.html">stan/math/rev/core/operator_unary_increment.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="operator__unary__negative_8hpp.html">stan/math/rev/core/operator_unary_negative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="operator__unary__not_8hpp.html">stan/math/rev/core/operator_unary_not.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="operator__unary__plus_8hpp.html">stan/math/rev/core/operator_unary_plus.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="precomp__v__vari_8hpp.html">stan/math/rev/core/precomp_v_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="precomp__vv__vari_8hpp.html">stan/math/rev/core/precomp_vv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="precomp__vvv__vari_8hpp.html">stan/math/rev/core/precomp_vvv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="precomputed__gradients_8hpp.html">stan/math/rev/core/precomputed_gradients.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="print__stack_8hpp.html">stan/math/rev/core/print_stack.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="recover__memory_8hpp.html">stan/math/rev/core/recover_memory.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="recover__memory__nested_8hpp.html">stan/math/rev/core/recover_memory_nested.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="set__zero__all__adjoints_8hpp.html">stan/math/rev/core/set_zero_all_adjoints.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="set__zero__all__adjoints__nested_8hpp.html">stan/math/rev/core/set_zero_all_adjoints_nested.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="start__nested_8hpp.html">stan/math/rev/core/start_nested.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="std__isinf_8hpp.html">stan/math/rev/core/std_isinf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="std__isnan_8hpp.html">stan/math/rev/core/std_isnan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_2std__numeric__limits_8hpp.html">stan/math/rev/core/std_numeric_limits.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="stored__gradient__vari_8hpp.html">stan/math/rev/core/stored_gradient_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="v__vari_8hpp.html">stan/math/rev/core/v_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="var_8hpp.html">stan/math/rev/core/var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vd__vari_8hpp.html">stan/math/rev/core/vd_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vdd__vari_8hpp.html">stan/math/rev/core/vdd_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vdv__vari_8hpp.html">stan/math/rev/core/vdv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vector__vari_8hpp.html">stan/math/rev/core/vector_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vv__vari_8hpp.html">stan/math/rev/core/vv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vvd__vari_8hpp.html">stan/math/rev/core/vvd_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vvv__vari_8hpp.html">stan/math/rev/core/vvv_vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="vvd__vari_8hpp_html"><div class="ttname"><a href="vvd__vari_8hpp.html">vvd_vari.hpp</a></div></div>
+<div class="ttc" id="precomp__vv__vari_8hpp_html"><div class="ttname"><a href="precomp__vv__vari_8hpp.html">precomp_vv_vari.hpp</a></div></div>
+<div class="ttc" id="std__isnan_8hpp_html"><div class="ttname"><a href="std__isnan_8hpp.html">std_isnan.hpp</a></div></div>
+<div class="ttc" id="precomp__v__vari_8hpp_html"><div class="ttname"><a href="precomp__v__vari_8hpp.html">precomp_v_vari.hpp</a></div></div>
+<div class="ttc" id="dv__vari_8hpp_html"><div class="ttname"><a href="dv__vari_8hpp.html">dv_vari.hpp</a></div></div>
+<div class="ttc" id="std__isinf_8hpp_html"><div class="ttname"><a href="std__isinf_8hpp.html">std_isinf.hpp</a></div></div>
+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="dvd__vari_8hpp_html"><div class="ttname"><a href="dvd__vari_8hpp.html">dvd_vari.hpp</a></div></div>
+<div class="ttc" id="recover__memory_8hpp_html"><div class="ttname"><a href="recover__memory_8hpp.html">recover_memory.hpp</a></div></div>
+<div class="ttc" id="rev_2core_2std__numeric__limits_8hpp_html"><div class="ttname"><a href="rev_2core_2std__numeric__limits_8hpp.html">std_numeric_limits.hpp</a></div></div>
+<div class="ttc" id="rev_2core_2operator__greater__than__or__equal_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__greater__than__or__equal_8hpp.html">operator_greater_than_or_equal.hpp</a></div></div>
+<div class="ttc" id="rev_2core_2operator__greater__than_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__greater__than_8hpp.html">operator_greater_than.hpp</a></div></div>
+<div class="ttc" id="operator__divide__equal_8hpp_html"><div class="ttname"><a href="operator__divide__equal_8hpp.html">operator_divide_equal.hpp</a></div></div>
+<div class="ttc" id="operator__unary__increment_8hpp_html"><div class="ttname"><a href="operator__unary__increment_8hpp.html">operator_unary_increment.hpp</a></div></div>
+<div class="ttc" id="rev_2core_2operator__less__than__or__equal_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__less__than__or__equal_8hpp.html">operator_less_than_or_equal.hpp</a></div></div>
+<div class="ttc" id="operator__unary__decrement_8hpp_html"><div class="ttname"><a href="operator__unary__decrement_8hpp.html">operator_unary_decrement.hpp</a></div></div>
+<div class="ttc" id="matrix__vari_8hpp_html"><div class="ttname"><a href="matrix__vari_8hpp.html">matrix_vari.hpp</a></div></div>
+<div class="ttc" id="vdd__vari_8hpp_html"><div class="ttname"><a href="vdd__vari_8hpp.html">vdd_vari.hpp</a></div></div>
+<div class="ttc" id="rev_2core_2operator__subtraction_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__subtraction_8hpp.html">operator_subtraction.hpp</a></div></div>
+<div class="ttc" id="core_2grad_8hpp_html"><div class="ttname"><a href="core_2grad_8hpp.html">grad.hpp</a></div></div>
+<div class="ttc" id="nested__size_8hpp_html"><div class="ttname"><a href="nested__size_8hpp.html">nested_size.hpp</a></div></div>
+<div class="ttc" id="vd__vari_8hpp_html"><div class="ttname"><a href="vd__vari_8hpp.html">vd_vari.hpp</a></div></div>
+<div class="ttc" id="empty__nested_8hpp_html"><div class="ttname"><a href="empty__nested_8hpp.html">empty_nested.hpp</a></div></div>
+<div class="ttc" id="recover__memory__nested_8hpp_html"><div class="ttname"><a href="recover__memory__nested_8hpp.html">recover_memory_nested.hpp</a></div></div>
+<div class="ttc" id="rev_2core_2operator__not__equal_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__not__equal_8hpp.html">operator_not_equal.hpp</a></div></div>
+<div class="ttc" id="operator__minus__equal_8hpp_html"><div class="ttname"><a href="operator__minus__equal_8hpp.html">operator_minus_equal.hpp</a></div></div>
+<div class="ttc" id="print__stack_8hpp_html"><div class="ttname"><a href="print__stack_8hpp.html">print_stack.hpp</a></div></div>
+<div class="ttc" id="vector__vari_8hpp_html"><div class="ttname"><a href="vector__vari_8hpp.html">vector_vari.hpp</a></div></div>
+<div class="ttc" id="precomp__vvv__vari_8hpp_html"><div class="ttname"><a href="precomp__vvv__vari_8hpp.html">precomp_vvv_vari.hpp</a></div></div>
+<div class="ttc" id="v__vari_8hpp_html"><div class="ttname"><a href="v__vari_8hpp.html">v_vari.hpp</a></div></div>
+<div class="ttc" id="gevv__vvv__vari_8hpp_html"><div class="ttname"><a href="gevv__vvv__vari_8hpp.html">gevv_vvv_vari.hpp</a></div></div>
+<div class="ttc" id="rev_2core_2operator__division_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__division_8hpp.html">operator_division.hpp</a></div></div>
+<div class="ttc" id="vvv__vari_8hpp_html"><div class="ttname"><a href="vvv__vari_8hpp.html">vvv_vari.hpp</a></div></div>
+<div class="ttc" id="stored__gradient__vari_8hpp_html"><div class="ttname"><a href="stored__gradient__vari_8hpp.html">stored_gradient_vari.hpp</a></div></div>
+<div class="ttc" id="operator__unary__not_8hpp_html"><div class="ttname"><a href="operator__unary__not_8hpp.html">operator_unary_not.hpp</a></div></div>
+<div class="ttc" id="chainable__alloc_8hpp_html"><div class="ttname"><a href="chainable__alloc_8hpp.html">chainable_alloc.hpp</a></div></div>
+<div class="ttc" id="rev_2core_2operator__multiplication_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__multiplication_8hpp.html">operator_multiplication.hpp</a></div></div>
+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
+<div class="ttc" id="rev_2core_2operator__less__than_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__less__than_8hpp.html">operator_less_than.hpp</a></div></div>
+<div class="ttc" id="dvv__vari_8hpp_html"><div class="ttname"><a href="dvv__vari_8hpp.html">dvv_vari.hpp</a></div></div>
+<div class="ttc" id="precomputed__gradients_8hpp_html"><div class="ttname"><a href="precomputed__gradients_8hpp.html">precomputed_gradients.hpp</a></div></div>
+<div class="ttc" id="start__nested_8hpp_html"><div class="ttname"><a href="start__nested_8hpp.html">start_nested.hpp</a></div></div>
+<div class="ttc" id="operator__unary__plus_8hpp_html"><div class="ttname"><a href="operator__unary__plus_8hpp.html">operator_unary_plus.hpp</a></div></div>
+<div class="ttc" id="vdv__vari_8hpp_html"><div class="ttname"><a href="vdv__vari_8hpp.html">vdv_vari.hpp</a></div></div>
+<div class="ttc" id="vv__vari_8hpp_html"><div class="ttname"><a href="vv__vari_8hpp.html">vv_vari.hpp</a></div></div>
+<div class="ttc" id="operator__plus__equal_8hpp_html"><div class="ttname"><a href="operator__plus__equal_8hpp.html">operator_plus_equal.hpp</a></div></div>
+<div class="ttc" id="rev_2core_2operator__equal_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__equal_8hpp.html">operator_equal.hpp</a></div></div>
+<div class="ttc" id="chainablestack_8hpp_html"><div class="ttname"><a href="chainablestack_8hpp.html">chainablestack.hpp</a></div></div>
+<div class="ttc" id="set__zero__all__adjoints__nested_8hpp_html"><div class="ttname"><a href="set__zero__all__adjoints__nested_8hpp.html">set_zero_all_adjoints_nested.hpp</a></div></div>
+<div class="ttc" id="ddv__vari_8hpp_html"><div class="ttname"><a href="ddv__vari_8hpp.html">ddv_vari.hpp</a></div></div>
+<div class="ttc" id="operator__unary__negative_8hpp_html"><div class="ttname"><a href="operator__unary__negative_8hpp.html">operator_unary_negative.hpp</a></div></div>
+<div class="ttc" id="rev_2core_2operator__addition_8hpp_html"><div class="ttname"><a href="rev_2core_2operator__addition_8hpp.html">operator_addition.hpp</a></div></div>
+<div class="ttc" id="set__zero__all__adjoints_8hpp_html"><div class="ttname"><a href="set__zero__all__adjoints_8hpp.html">set_zero_all_adjoints.hpp</a></div></div>
+<div class="ttc" id="autodiffstackstorage_8hpp_html"><div class="ttname"><a href="autodiffstackstorage_8hpp.html">autodiffstackstorage.hpp</a></div></div>
+<div class="ttc" id="operator__multiply__equal_8hpp_html"><div class="ttname"><a href="operator__multiply__equal_8hpp.html">operator_multiply_equal.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
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+<code>#include &lt;<a class="el" href="gevv__vvv__vari_8hpp_source.html">stan/math/rev/core/gevv_vvv_vari.hpp</a>&gt;</code><br />
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Override matrix-vector and matrix-matrix products to use more efficient implementation.  <a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#details">More...</a><br /></td></tr>
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+<div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634aaf0cb8ae61102886fd8979a5e0adf442">   83</a></span>&#160;      RequireInitialization = 0,</div>
+<div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a9dd6c69861224ab22c6513bfc95f8dac">   84</a></span>&#160;      ReadCost = 1,</div>
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+<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a7a31da528ea371cfe78010d1f09b2130">   86</a></span>&#160;      MulCost = 1,</div>
+<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a725304337ba652873babd17b350f8cdc">   87</a></span>&#160;      HasFloatingPoint = 1</div>
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+<div class="line"><a name="l00096"></a><span class="lineno"><a class="line" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html">   96</a></span>&#160;    <span class="keyword">struct </span>significant_decimals_default_impl&lt;<a class="code" href="namespacestan.html">stan</a>::math::var, false&gt; {</div>
+<div class="line"><a name="l00097"></a><span class="lineno"><a class="line" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html#aa8848c328f6a9e8262497de032911cac">   97</a></span>&#160;      <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html#aa8848c328f6a9e8262497de032911cac">run</a>() {</div>
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+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                                      / <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(10.0)));</div>
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+<div class="ttc" id="namespacestan_1_1math_html_ae17fdbe8f98c5d6c887b49f99e6d4a03"><div class="ttname"><a href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">stan::math::rows</a></div><div class="ttdeci">int rows(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdoc">Return the number of rows in the specified matrix, vector, or row vector. </div><div class="ttdef"><b>Definition:</b> <a href="rows_8hpp_source.html#l00020">rows.hpp:20</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf_html_a838f3f363697ce818a0d9bd0c8975316"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a838f3f363697ce818a0d9bd0c8975316">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;::run</a></div><div class="ttdeci">static EIGEN_DONT_INLINE void run(Index rows, Index cols, const LhsScalar *lhs, Index lhsStride, const RhsScalar *rhs, Index rhsIncr, ResScalar *res, Index resIncr, const ResScalar &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00137">Eigen_NumTraits.hpp:137</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4_html_aa8848c328f6a9e8262497de032911cac"><div class="ttname"><a href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html#aa8848c328f6a9e8262497de032911cac">Eigen::internal::significant_decimals_default_impl&lt; stan::math::var, false &gt;::run</a></div><div class="ttdeci">static int run()</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00097">Eigen_NumTraits.hpp:97</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202_html_af233aa7390c24235fde858856935742f"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af233aa7390c24235fde858856935742f">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;::LhsScalar</a></div><div class="ttdeci">stan::math::var LhsScalar</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00160">Eigen_NumTraits.hpp:160</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4_html_a66eef3581ef6582fbb03a30749bc87b2"><div class="ttname"><a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a66eef3581ef6582fbb03a30749bc87b2">Eigen::NumTraits&lt; stan::math::var &gt;::dummy_precision</a></div><div class="ttdeci">static Real dummy_precision()</div><div class="ttdoc">Return dummy precision. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00051">Eigen_NumTraits.hpp:51</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28_html_a9cfc2802da5013680db2b43c371602f2"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a9cfc2802da5013680db2b43c371602f2">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;::ResScalar</a></div><div class="ttdeci">scalar_product_traits&lt; LhsScalar, RhsScalar &gt;::ReturnType ResScalar</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00193">Eigen_NumTraits.hpp:193</a></div></div>
+<div class="ttc" id="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4_html_a34b81621f635c4d8159b8e7f27c31a7e"><div class="ttname"><a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a34b81621f635c4d8159b8e7f27c31a7e">Eigen::NumTraits&lt; stan::math::var &gt;::NonInteger</a></div><div class="ttdeci">stan::math::var NonInteger</div><div class="ttdoc">Non-integer valued variables. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00029">Eigen_NumTraits.hpp:29</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf_html_aef94ec4f1ef3a0dd1845874a4cfbbaa7"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#aef94ec4f1ef3a0dd1845874a4cfbbaa7">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;::ResScalar</a></div><div class="ttdeci">scalar_product_traits&lt; LhsScalar, RhsScalar &gt;::ReturnType ResScalar</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00134">Eigen_NumTraits.hpp:134</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4_html_a836253452e51c2bd07cf9f86baadc52e"><div class="ttname"><a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a836253452e51c2bd07cf9f86baadc52e">Eigen::NumTraits&lt; stan::math::var &gt;::highest</a></div><div class="ttdeci">static Real highest()</div><div class="ttdoc">Return standard library&#39;s highest for double-precision floating point, std::numeric_limits<double>max...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00061">Eigen_NumTraits.hpp:61</a></div></div>
+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4_html_abf081b5561d2b25d3ecfed025259858d"><div class="ttname"><a href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html#abf081b5561d2b25d3ecfed025259858d">Eigen::internal::scalar_product_traits&lt; stan::math::var, double &gt;::ReturnType</a></div><div class="ttdeci">stan::math::var ReturnType</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00112">Eigen_NumTraits.hpp:112</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1gevv__vvv__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1gevv__vvv__vari.html">stan::math::gevv_vvv_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="gevv__vvv__vari_8hpp_source.html#l00011">gevv_vvv_vari.hpp:11</a></div></div>
+<div class="ttc" id="gevv__vvv__vari_8hpp_html"><div class="ttname"><a href="gevv__vvv__vari_8hpp.html">gevv_vvv_vari.hpp</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202_html_af5f8086e51fad26abefd770ddd0e9d0f"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;::RhsScalar</a></div><div class="ttdeci">stan::math::var RhsScalar</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00161">Eigen_NumTraits.hpp:161</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28_html_a435b27a1afc1ce0d1c9f7e0bdd786f2f"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;::LhsScalar</a></div><div class="ttdeci">stan::math::var LhsScalar</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00190">Eigen_NumTraits.hpp:190</a></div></div>
+<div class="ttc" id="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4_html_a03c90fde3d5351ee5fcf5860c410d934"><div class="ttname"><a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Eigen::NumTraits&lt; stan::math::var &gt;::Real</a></div><div class="ttdeci">stan::math::var Real</div><div class="ttdoc">Real-valued variables. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00022">Eigen_NumTraits.hpp:22</a></div></div>
+<div class="ttc" id="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4_html_a6ee32c875e248190487e374103f1d599"><div class="ttname"><a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a6ee32c875e248190487e374103f1d599">Eigen::NumTraits&lt; stan::math::var &gt;::epsilon</a></div><div class="ttdeci">static Real epsilon()</div><div class="ttdoc">Return standard library&#39;s epsilon for double-precision floating point, std::numeric_limits<double>::e...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00044">Eigen_NumTraits.hpp:44</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0798f82fcc76f547303e77224fa25025"><div class="ttname"><a href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">stan::math::cols</a></div><div class="ttdeci">int cols(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdoc">Return the number of columns in the specified matrix, vector, or row vector. </div><div class="ttdef"><b>Definition:</b> <a href="cols_8hpp_source.html#l00020">cols.hpp:20</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5da0ef87756d3dbd20ca4ff5a3efa10d"><div class="ttname"><a href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">stan::math::max</a></div><div class="ttdeci">int max(const std::vector&lt; int &gt; &amp;x)</div><div class="ttdoc">Returns the maximum coefficient in the specified column vector. </div><div class="ttdef"><b>Definition:</b> <a href="max_8hpp_source.html#l00021">max.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf_html_a99d7c59e9613a370e216a928363ea478"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a99d7c59e9613a370e216a928363ea478">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;::LhsScalar</a></div><div class="ttdeci">stan::math::var LhsScalar</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00131">Eigen_NumTraits.hpp:131</a></div></div>
+<div class="ttc" id="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4_html_a77e37676bb3d1900f8a49c159cd330db"><div class="ttname"><a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a77e37676bb3d1900f8a49c159cd330db">Eigen::NumTraits&lt; stan::math::var &gt;::Nested</a></div><div class="ttdeci">stan::math::var Nested</div><div class="ttdoc">Nested variables. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00036">Eigen_NumTraits.hpp:36</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202_html_a8897ce7e26ba6a8e5a6de5faddf521cb"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#a8897ce7e26ba6a8e5a6de5faddf521cb">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;::ResScalar</a></div><div class="ttdeci">scalar_product_traits&lt; LhsScalar, RhsScalar &gt;::ReturnType ResScalar</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00163">Eigen_NumTraits.hpp:163</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28_html_a808d61f0706efe113aebca78c4b27982"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a808d61f0706efe113aebca78c4b27982">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;::run</a></div><div class="ttdeci">static void run(Index rows, Index cols, Index depth, const LhsScalar *_lhs, Index lhsStride, const RhsScalar *_rhs, Index rhsStride, ResScalar *res, Index resStride, const ResScalar &amp;alpha, level3_blocking&lt; LhsScalar, RhsScalar &gt; &amp;, GemmParallelInfo&lt; Index &gt; *)</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00194">Eigen_NumTraits.hpp:194</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202_html_ad408d758d5b0c1732f4f88a0a4784b78"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#ad408d758d5b0c1732f4f88a0a4784b78">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;::run</a></div><div class="ttdeci">static EIGEN_DONT_INLINE void run(Index rows, Index cols, const LhsScalar *lhs, Index lhsStride, const RhsScalar *rhs, Index rhsIncr, ResScalar *res, Index resIncr, const RhsScalar &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00167">Eigen_NumTraits.hpp:167</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf_html_a0e0d73e4f0b4b52372a962a513896bfe"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a0e0d73e4f0b4b52372a962a513896bfe">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;::RhsScalar</a></div><div class="ttdeci">stan::math::var RhsScalar</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00132">Eigen_NumTraits.hpp:132</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28_html_a6c1460b63fb2a4f7587804432cc6182d"><div class="ttname"><a href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;::RhsScalar</a></div><div class="ttdeci">stan::math::var RhsScalar</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00191">Eigen_NumTraits.hpp:191</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1b2e9b4a947b81917612a8d1d547afb"><div class="ttname"><a href="namespacestan_1_1math.html#ab1b2e9b4a947b81917612a8d1d547afb">stan::math::ceil</a></div><div class="ttdeci">fvar&lt; T &gt; ceil(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2ceil_8hpp_source.html#l00011">ceil.hpp:11</a></div></div>
+<div class="ttc" id="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4_html_a0fec89098be1ad8d0b1b974eb804b6a9"><div class="ttname"><a href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html#a0fec89098be1ad8d0b1b974eb804b6a9">Eigen::internal::scalar_product_traits&lt; double, stan::math::var &gt;::ReturnType</a></div><div class="ttdeci">stan::math::var ReturnType</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00121">Eigen_NumTraits.hpp:121</a></div></div>
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diff --git a/doc/api/html/rev_2mat_2fun_2_l_d_l_t__factor_8hpp.html b/doc/api/html/rev_2mat_2fun_2_l_d_l_t__factor_8hpp.html
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_l_d_l_t__alloc_8hpp_source.html">stan/math/rev/mat/fun/LDLT_alloc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">A template specialization of src/stan/math/matrix/LDLT_factor.hpp for <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a> which can be used with all the *_ldlt functions.  <a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#details">More...</a><br /></td></tr>
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+<div class="title">LDLT_factor.hpp</div>  </div>
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+<a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_LDLT_FACTOR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_LDLT_FACTOR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_l_d_l_t__alloc_8hpp.html">stan/math/rev/mat/fun/LDLT_alloc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/prim/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html">   45</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a>&lt;<a class="code" href="namespacestan.html">stan</a>::<a class="code" href="classstan_1_1math_1_1var.html">math::var</a>, R, C&gt; {</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ade86bbc6c4946e8c2ae0a5e64448bb0c">   52</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ade86bbc6c4946e8c2ae0a5e64448bb0c">LDLT_factor</a>() : <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6333f1364c14f8f834a56541108a543d">_alloc</a>(new <a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="classstan_1_1math_1_1_l_d_l_t__alloc.html">LDLT_alloc</a>&lt;R, C&gt;()) {}</div>
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+<div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a2af6b704a60e27003e78625da2a3065a">   54</a></span>&#160;      <span class="keyword">explicit</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a2af6b704a60e27003e78625da2a3065a">LDLT_factor</a>(<span class="keyword">const</span> Eigen::Matrix&lt;stan::math::var, R, C&gt; &amp;A)</div>
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+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        ret = <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6333f1364c14f8f834a56541108a543d">_alloc</a>-&gt;N_ != 0;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        ret = ret &amp;&amp; <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6333f1364c14f8f834a56541108a543d">_alloc</a>-&gt;_ldlt.info() == Eigen::Success;</div>
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+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ab38a23d055a57197a720a66c7b089339">  119</a></span>&#160;      <span class="keyword">typedef</span> <span class="keywordtype">size_t</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ab38a23d055a57197a720a66c7b089339">size_type</a>;</div>
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+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    };</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  }</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;}</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4_html_a2af6b704a60e27003e78625da2a3065a"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a2af6b704a60e27003e78625da2a3065a">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;::LDLT_factor</a></div><div class="ttdeci">LDLT_factor(const Eigen::Matrix&lt; stan::math::var, R, C &gt; &amp;A)</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00054">LDLT_factor.hpp:54</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="_l_d_l_t__alloc_8hpp_html"><div class="ttname"><a href="_l_d_l_t__alloc_8hpp.html">LDLT_alloc.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4_html_ac71a0527f0d5cddaad94fe39b6d6df32"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac71a0527f0d5cddaad94fe39b6d6df32">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;::rows</a></div><div class="ttdeci">size_t rows() const </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00116">LDLT_factor.hpp:116</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4_html_abb2f0b7a7abb1aee5157b3c2cd3ffa83"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#abb2f0b7a7abb1aee5157b3c2cd3ffa83">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;::compute</a></div><div class="ttdeci">void compute(const Eigen::Matrix&lt; stan::math::var, R, C &gt; &amp;A)</div><div class="ttdoc">Use the LDLT_factor object to factorize a new matrix. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00067">LDLT_factor.hpp:67</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4_html_ab38a23d055a57197a720a66c7b089339"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ab38a23d055a57197a720a66c7b089339">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;::size_type</a></div><div class="ttdeci">size_t size_type</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00119">LDLT_factor.hpp:119</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4_html_a26108bbfc96084647517312ce22d11a4"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a26108bbfc96084647517312ce22d11a4">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;::_alloc</a></div><div class="ttdeci">stan::math::LDLT_alloc&lt; R, C &gt; * _alloc</div><div class="ttdoc">The LDLT_alloc object actually contains the factorization but is derived from the chainable_alloc cla...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00130">LDLT_factor.hpp:130</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__alloc_html"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__alloc.html">stan::math::LDLT_alloc</a></div><div class="ttdoc">This object stores the actual (double typed) LDLT factorization of an Eigen::Matrix<var> along with p...</div><div class="ttdef"><b>Definition:</b> <a href="_l_d_l_t__alloc_8hpp_source.html#l00020">LDLT_alloc.hpp:20</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_html_a6333f1364c14f8f834a56541108a543d"><div class="ttname"><a href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6333f1364c14f8f834a56541108a543d">_alloc</a></div><div class="ttdeci">mdivide_left_ldlt_alloc&lt; R1, C1, R2, C2 &gt; * _alloc</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00044">mdivide_left_ldlt.hpp:44</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4_html_afd02ee536695f8d22fc5f43add1383d4"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#afd02ee536695f8d22fc5f43add1383d4">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;::value_type</a></div><div class="ttdeci">stan::math::var value_type</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00120">LDLT_factor.hpp:120</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4_html_ac9188aad7bdd50d4031449e7df91f890"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ac9188aad7bdd50d4031449e7df91f890">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;::vectorD</a></div><div class="ttdeci">Eigen::VectorXd vectorD() const </div><div class="ttdoc">The entries of the diagonal matrix D. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00112">LDLT_factor.hpp:112</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4_html_ade86bbc6c4946e8c2ae0a5e64448bb0c"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#ade86bbc6c4946e8c2ae0a5e64448bb0c">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;::LDLT_factor</a></div><div class="ttdeci">LDLT_factor()</div><div class="ttdoc">Default constructor. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00052">LDLT_factor.hpp:52</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4_html_a10f45f6aab48c0ffc6b4d0ad0e6c19b9"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a10f45f6aab48c0ffc6b4d0ad0e6c19b9">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;::solve</a></div><div class="ttdeci">const Eigen::internal::solve_retval&lt; Eigen::LDLT&lt; Eigen::Matrix&lt; double, R, C &gt; &gt;, Rhs &gt; solve(const Eigen::MatrixBase&lt; Rhs &gt; &amp;b) const </div><div class="ttdoc">Compute the actual numerical result of inv(A)*b. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00087">LDLT_factor.hpp:87</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4_html_a3ed28e459ba5ce68d97daf4eb0cc780e"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor_3_01stan_1_1math_1_1var_00_01_r_00_01_c_01_4.html#a3ed28e459ba5ce68d97daf4eb0cc780e">stan::math::LDLT_factor&lt; stan::math::var, R, C &gt;::success</a></div><div class="ttdeci">bool success() const </div><div class="ttdoc">Determine whether the most recent factorization succeeded. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00096">LDLT_factor.hpp:96</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2cholesky__decompose_8hpp_source.html">stan/math/prim/mat/fun/cholesky_decompose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of__rec_8hpp_source.html">stan/math/rev/scal/fun/value_of_rec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2value__of__rec_8hpp_source.html">stan/math/prim/mat/fun/value_of_rec.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__pos__definite_8hpp_source.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:af8e46af32d475d13fb882b6ae58051de"><td class="memItemLeft" align="right" valign="top">Eigen::Matrix&lt; var,-1,-1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af8e46af32d475d13fb882b6ae58051de">stan::math::cholesky_decompose</a> (const Eigen::Matrix&lt; var,-1,-1 &gt; &amp;A)</td></tr>
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+<div class="title">cholesky_decompose.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2cholesky__decompose_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_CHOLESKY_DECOMPOSE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_CHOLESKY_DECOMPOSE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2cholesky__decompose_8hpp.html">stan/math/prim/mat/fun/cholesky_decompose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2value__of__rec_8hpp.html">stan/math/rev/scal/fun/value_of_rec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2value__of_8hpp.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2value__of__rec_8hpp.html">stan/math/prim/mat/fun/value_of_rec.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__pos__definite_8hpp.html">stan/math/prim/mat/err/check_pos_definite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html">   18</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html">cholesky_decompose_v_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a79f912f6bd3f5fe607c1da2f496dc546">   20</a></span>&#160;      <span class="keywordtype">int</span> <a class="code" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a79f912f6bd3f5fe607c1da2f496dc546">M_</a>;  <span class="comment">// A.rows() = A.cols()</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#acd3834b8b6dd6cfa3b799cac9e7739fc">   21</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>** <a class="code" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#acd3834b8b6dd6cfa3b799cac9e7739fc">variRefA_</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a733ded3d060d5d780c73a05b6f1402df">   22</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>** <a class="code" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a733ded3d060d5d780c73a05b6f1402df">variRefL_</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="comment">/* ctor for cholesky function</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment">       *</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment">       * Stores varis for A</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment">       * Instantiates and stores varis for L</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="comment">       * Instantiates and stores dummy vari for</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="comment">       * upper triangular part of var result returned</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment">       * in cholesky_decompose function call </span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="comment">       *</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment">       * variRefL aren&#39;t on the chainable</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment">       * autodiff stack, only used for storage</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment">       * and computation. Note that varis for</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="comment">       * L are constructed externally in </span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="comment">       * cholesky_decompose.</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="comment">       *</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="comment">       * @param matrix A</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="comment">       * @param matrix L, cholesky factor of A</span></div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                                <span class="keyword">const</span> Eigen::Matrix&lt;double, -1, -1&gt;&amp; L_A)</div>
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+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                    (A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * (A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() + 1) / 2)) {</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = j; i &lt; <a class="code" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a79f912f6bd3f5fe607c1da2f496dc546">M_</a>; ++i) {</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            accum_i += i;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            <span class="keywordtype">size_t</span> pos = j + accum_i;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            variRefA_[pos] = A.coeffRef(i, j).vi_;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            variRefL_[pos] = <span class="keyword">new</span> <a class="code" href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">vari</a>(L_A.coeffRef(i, j), <span class="keyword">false</span>);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;          }</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;          accum += j;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;          accum_i = accum;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        }</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      }</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">/* Reverse mode differentiation </span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="comment">       * algorithm refernce: </span></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="comment">       *</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="comment">       * Mike Giles. An extended collection of matrix </span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="comment">       * derivative results for forward and reverse mode AD. </span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="comment">       * Jan. 2008.</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="comment">       *</span></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="comment">       * Note algorithm  as laid out in Giles is </span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="comment">       * row-major, so Eigen::Matrices are explicitly storage</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="comment">       * order RowMajor, whereas Eigen defaults to </span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="comment">       * ColumnMajor. Also note algorithm </span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="comment">       * starts by calculating the adjoint for </span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="comment">       * A(M_ - 1, M_ - 1), hence pos on line 94 is decremented</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="comment">       * to start at pos = M_ * (M_ + 1) / 2.</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="comment">       * */</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#aab81d9945c0a4aaa2ea3c8d1888e2b81">   78</a></span>&#160;      <span class="keyword">virtual</span> <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#aab81d9945c0a4aaa2ea3c8d1888e2b81">chain</a>() {</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">using</span> Eigen::RowMajor;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        Matrix&lt;double, -1, -1, RowMajor&gt; adjL(M_, M_);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        Matrix&lt;double, -1, -1, RowMajor&gt; LA(M_, M_);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        Matrix&lt;double, -1, -1, RowMajor&gt; adjA(M_, M_);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; <a class="code" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a79f912f6bd3f5fe607c1da2f496dc546">M_</a>; ++i) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt;= i; ++j) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;            adjL.coeffRef(i, j) = variRefL_[pos]-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a>;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;            LA.coeffRef(i, j) = variRefL_[pos]-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a>;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;            ++pos;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        --pos;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = M_ - 1; i &gt;= 0; --i) {</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = i; j &gt;= 0; --j) {</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            <span class="keywordflow">if</span> (i == j) {</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;              adjA.coeffRef(i, j) = 0.5 * adjL.coeff(i, j)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                / LA.coeff(i, j);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;              adjA.coeffRef(i, j) = adjL.coeff(i, j)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                / LA.coeff(j, j);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;              adjL.coeffRef(j, j) -= adjL.coeff(i, j)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                * LA.coeff(i, j) / LA.coeff(j, j);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;            }</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = j - 1; k &gt;=0; --k) {</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;              adjL.coeffRef(i, k) -= adjA.coeff(i, j)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;                * LA.coeff(j, k);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;              adjL.coeffRef(j, k) -= adjA.coeff(i, j)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                * LA.coeff(i, k);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            }</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            variRefA_[pos--]-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> += adjA.coeffRef(i, j);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          }</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        }</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      }</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    };</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    <span class="comment">/* Reverse mode specialization of</span></div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="comment">     * cholesky decomposition</span></div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="comment">     *</span></div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="comment">     * Internally calls llt rather than using </span></div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="comment">     * stan::math::cholesky_decompose in order</span></div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="comment">     * to use selfadjointView&lt;Lower&gt; optimization.</span></div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="comment">     *</span></div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="comment">     * Note chainable stack varis are created</span></div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;<span class="comment">     * below in Matrix&lt;var, -1, -1&gt;</span></div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="comment">     *</span></div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="comment">     * @param Matrix A</span></div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="comment">     * @return L cholesky factor of A</span></div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;<span class="comment">     */</span></div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    Eigen::Matrix&lt;var, -1, -1&gt;</div>
+<div class="line"><a name="l00131"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af8e46af32d475d13fb882b6ae58051de">  131</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4d798c4cab5a0716a0e338de38617c8e">cholesky_decompose</a>(<span class="keyword">const</span> Eigen::Matrix&lt;var, -1, -1&gt; &amp;A) {</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;cholesky_decompose&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a>(<span class="stringliteral">&quot;cholesky_decompose&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;      Eigen::Matrix&lt;double, -1, -1&gt; L_A(<a class="code" href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">value_of_rec</a>(A));</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;      Eigen::LLT&lt;Eigen::MatrixXd&gt; L_factor</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        = L_A.selfadjointView&lt;Eigen::Lower&gt;().llt();</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a73c78430d39530eb8c4ef3fed06f7082">check_pos_definite</a>(<span class="stringliteral">&quot;cholesky_decompose&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, L_factor);</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      L_A = L_factor.matrixL();</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;      <span class="comment">// NOTE: this is not a memory leak, this vari is used in the</span></div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      <span class="comment">// expression graph to evaluate the adjoint, but is not needed</span></div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      <span class="comment">// for the returned matrix.  Memory will be cleaned up with the</span></div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      <span class="comment">// arena allocator.</span></div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      <a class="code" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html">cholesky_decompose_v_vari</a> *baseVari</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        = <span class="keyword">new</span> <a class="code" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html">cholesky_decompose_v_vari</a>(A, L_A);</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">stan::math::vari</a> <a class="code" href="structstan_1_1math_1_1dummy.html">dummy</a>(0.0, <span class="keyword">false</span>);</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;      Eigen::Matrix&lt;var, -1, -1&gt; L(A.rows(), A.cols());</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;      <span class="keywordtype">size_t</span> accum = 0;</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;      <span class="keywordtype">size_t</span> accum_i = accum;</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; L.cols(); ++j) {</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = j; i &lt; L.cols(); ++i) {</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;          accum_i += i;</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;          <span class="keywordtype">size_t</span> pos = j + accum_i;</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;          L.coeffRef(i, j).vi_ = baseVari-&gt;<a class="code" href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a733ded3d060d5d780c73a05b6f1402df">variRefL_</a>[pos];</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        }</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> k = 0; k &lt; j; ++k)</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;          L.coeffRef(k, j).vi_ = &amp;dummy;</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;        accum += j;</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;        accum_i = accum;</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;      }</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;      <span class="keywordflow">return</span> L;</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    }</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;  }</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;}</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html_a2592847e55b538d33c224023f22f0a5c"><div class="ttname"><a href="classstan_1_1math_1_1vari.html#a2592847e55b538d33c224023f22f0a5c">stan::math::vari::vari</a></div><div class="ttdeci">vari(const double x)</div><div class="ttdoc">Construct a variable implementation from a value. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00058">vari.hpp:58</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1cholesky__decompose__v__vari_html_a79f912f6bd3f5fe607c1da2f496dc546"><div class="ttname"><a href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a79f912f6bd3f5fe607c1da2f496dc546">stan::math::cholesky_decompose_v_vari::M_</a></div><div class="ttdeci">int M_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html#l00020">cholesky_decompose.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae17fdbe8f98c5d6c887b49f99e6d4a03"><div class="ttname"><a href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">stan::math::rows</a></div><div class="ttdeci">int rows(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdoc">Return the number of rows in the specified matrix, vector, or row vector. </div><div class="ttdef"><b>Definition:</b> <a href="rows_8hpp_source.html#l00020">rows.hpp:20</a></div></div>
+<div class="ttc" id="rev_2scal_2fun_2value__of__rec_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2value__of__rec_8hpp.html">value_of_rec.hpp</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1cholesky__decompose__v__vari_html_aab81d9945c0a4aaa2ea3c8d1888e2b81"><div class="ttname"><a href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#aab81d9945c0a4aaa2ea3c8d1888e2b81">stan::math::cholesky_decompose_v_vari::chain</a></div><div class="ttdeci">virtual void chain()</div><div class="ttdoc">Apply the chain rule to this variable based on the variables on which it depends. ...</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html#l00078">cholesky_decompose.hpp:78</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1cholesky__decompose__v__vari_html_a9906839e06f5ae7c5c31b9d0c5fe1454"><div class="ttname"><a href="classstan_1_1math_1_1cholesky__decompose__v__vari.html#a9906839e06f5ae7c5c31b9d0c5fe1454">stan::math::cholesky_decompose_v_vari::cholesky_decompose_v_vari</a></div><div class="ttdeci">cholesky_decompose_v_vari(const Eigen::Matrix&lt; var,-1,-1 &gt; &amp;A, const Eigen::Matrix&lt; double,-1,-1 &gt; &amp;L_A)</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html#l00041">cholesky_decompose.hpp:41</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2value__of__rec_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2value__of__rec_8hpp.html">value_of_rec.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="rev_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html">stan/math/rev/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2columns__dot__product_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:a09f7ba0991c234a715af5b4968a28014"><td class="memTemplParams" colspan="2">template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </td></tr>
+<tr class="memitem:a09f7ba0991c234a715af5b4968a28014"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; boost::is_same&lt; T1, var &gt;::value||boost::is_same&lt; T2, var &gt;::value, Eigen::Matrix&lt; var, 1, C1 &gt; &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a09f7ba0991c234a715af5b4968a28014">stan::math::columns_dot_product</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;v2)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_1dcd98e7c4f45b41e0c83c911c6e550e.html">mat</a></li><li class="navelem"><a class="el" href="dir_a8d8e59947adb18b6db2afc7a0c714ad.html">fun</a></li>  </ul>
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+<div class="title">columns_dot_product.hpp</div>  </div>
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+<a href="rev_2mat_2fun_2columns__dot__product_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_COLUMNS_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_COLUMNS_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__vector_8hpp.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__sizes_8hpp.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2typedefs_8hpp.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2value__of_8hpp.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2dot__product_8hpp.html">stan/math/rev/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;boost/utility/enable_if.hpp&gt;</span></div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T1, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">typename</span> boost::enable_if_c&lt;boost::is_same&lt;T1, var&gt;::value ||</div>
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+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a09f7ba0991c234a715af5b4968a28014">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad63b6eb8c9db16d8321d8f2f18632be1">columns_dot_product</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R1, C1&gt;&amp; v1,</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                                                 <span class="stringliteral">&quot;v2&quot;</span>, v2);</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;}</div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="check__matching__sizes_8hpp_html"><div class="ttname"><a href="check__matching__sizes_8hpp.html">check_matching_sizes.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<div class="ttc" id="rev_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="check__vector_8hpp_html"><div class="ttname"><a href="check__vector_8hpp.html">check_vector.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="rev_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<div class="title">columns_dot_self.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2dot__self_8hpp_source.html">stan/math/rev/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2columns__dot__self_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a5f1e866e49a056dc81b8b6b673dda0f8"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:a5f1e866e49a056dc81b8b6b673dda0f8"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, 1, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5f1e866e49a056dc81b8b6b673dda0f8">stan::math::columns_dot_self</a> (const Eigen::Matrix&lt; var, R, C &gt; &amp;x)</td></tr>
+<tr class="memdesc:a5f1e866e49a056dc81b8b6b673dda0f8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of each column of a matrix with itself.  <a href="namespacestan_1_1math.html#a5f1e866e49a056dc81b8b6b673dda0f8">More...</a><br /></td></tr>
+<tr class="separator:a5f1e866e49a056dc81b8b6b673dda0f8"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">columns_dot_self.hpp</div>  </div>
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+<a href="rev_2mat_2fun_2columns__dot__self_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_COLUMNS_DOT_SELF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_COLUMNS_DOT_SELF_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="rev_2mat_2fun_2dot__self_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2dot__self_8hpp.html">dot_self.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<div class="ttc" id="check__vector_8hpp_html"><div class="ttname"><a href="check__vector_8hpp.html">check_vector.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3663d900f7f0bdd57e808301ff142ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a3663d900f7f0bdd57e808301ff142ee1">stan::math::columns_dot_self</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, 1, C &gt; columns_dot_self(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2columns__dot__self_8hpp_source.html#l00015">columns_dot_self.hpp:15</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2tcrossprod_8hpp_source.html">stan/math/rev/mat/fun/tcrossprod.hpp</a>&gt;</code><br />
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+<tr class="memdesc:a8605c80796abfc9c7082d001e8fd4501"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the result of pre-multiplying a matrix by its own transpose.  <a href="namespacestan_1_1math.html#a8605c80796abfc9c7082d001e8fd4501">More...</a><br /></td></tr>
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+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+<tr class="separator:a25cf09ca9596a572e5040deaecfba87f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memitem">
+<div class="memproto">
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+          <td class="memname">vari** _adjARef</td>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2determinant_8hpp_source.html#l00020">20</a> of file <a class="el" href="rev_2mat_2fun_2determinant_8hpp_source.html">determinant.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2determinant_8hpp_source.html#l00018">18</a> of file <a class="el" href="rev_2mat_2fun_2determinant_8hpp_source.html">determinant.hpp</a>.</p>
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+          <td class="memname">double* A_</td>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2determinant_8hpp_source.html#l00019">19</a> of file <a class="el" href="rev_2mat_2fun_2determinant_8hpp_source.html">determinant.hpp</a>.</p>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_1dcd98e7c4f45b41e0c83c911c6e550e.html">mat</a></li><li class="navelem"><a class="el" href="dir_a8d8e59947adb18b6db2afc7a0c714ad.html">fun</a></li>  </ul>
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+<div class="title">determinant.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2determinant_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_DETERMINANT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_DETERMINANT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2typedefs_8hpp.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">class </span>determinant_vari : <span class="keyword">public</span> vari {</div>
+<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2determinant_8hpp.html#a3e8959363f536b448785cdfdb1dd461a">   17</a></span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2determinant_8hpp.html#a3e8959363f536b448785cdfdb1dd461a">_rows</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2determinant_8hpp.html#a9c07cb6acc3ea9dc957ef6874d075e7b">   18</a></span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2determinant_8hpp.html#a9c07cb6acc3ea9dc957ef6874d075e7b">_cols</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2determinant_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">   19</a></span>&#160;        <span class="keywordtype">double</span>* <a class="code" href="rev_2mat_2fun_2determinant_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">A_</a>;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2determinant_8hpp.html#ac289fdc094f4376437157416320ac3bd">   20</a></span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2determinant_8hpp.html#ac289fdc094f4376437157416320ac3bd">_adjARef</a>;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        <span class="keyword">explicit</span> determinant_vari(<span class="keyword">const</span> Eigen::Matrix&lt;var, R, C&gt; &amp;A)</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;          : vari(determinant_vari_calc(A)),</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;            _rows(A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>()),</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;            _cols(A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()),</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;            A_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                .alloc(sizeof(double) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;            _adjARef(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                     (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                      .alloc(sizeof(vari*) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;          <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2determinant_8hpp.html#a9c07cb6acc3ea9dc957ef6874d075e7b">_cols</a>; j++) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2determinant_8hpp.html#a3e8959363f536b448785cdfdb1dd461a">_rows</a>; i++) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;              A_[pos] = A(i, j).val();</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;              _adjARef[pos++] = A(i, j).vi_;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;            }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;          }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keyword">static</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keywordtype">double</span> determinant_vari_calc(<span class="keyword">const</span> Eigen::Matrix&lt;var, R, C&gt; &amp;A) {</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;          Eigen::Matrix&lt;double, R, C&gt; Ad(A.rows(), A.cols());</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; A.rows(); j++)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; A.cols(); i++)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;              Ad(i, j) = A(i, j).val();</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;          <span class="keywordflow">return</span> Ad.determinant();</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        }</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keyword">virtual</span> <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;          Matrix&lt;double, R, C&gt; adjA(_rows, _cols);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;          adjA = (adj_ * val_) *</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            Map&lt;Matrix&lt;double, R, C&gt; &gt;(A_, _rows, _cols).inverse().transpose();</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;          <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2determinant_8hpp.html#a9c07cb6acc3ea9dc957ef6874d075e7b">_cols</a>; j++) {</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2determinant_8hpp.html#a3e8959363f536b448785cdfdb1dd461a">_rows</a>; i++) {</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;              _adjARef[pos++]-&gt;adj_ += adjA(i, j);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            }</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;          }</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        }</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      };</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    }</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00066"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a25cf09ca9596a572e5040deaecfba87f">   66</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a63ab2582fc9a5a31d3d4f38a6420174e">determinant</a>(<span class="keyword">const</span> Eigen::Matrix&lt;var, R, C&gt;&amp; m) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;determinant&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, m);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> determinant_vari&lt;R, C&gt;(m));</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    }</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;  }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;}</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae17fdbe8f98c5d6c887b49f99e6d4a03"><div class="ttname"><a href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">stan::math::rows</a></div><div class="ttdeci">int rows(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdoc">Return the number of rows in the specified matrix, vector, or row vector. </div><div class="ttdef"><b>Definition:</b> <a href="rows_8hpp_source.html#l00020">rows.hpp:20</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2determinant_8hpp_html_a11b6b3ab6459db606ab7f4bfd4ad2823"><div class="ttname"><a href="rev_2mat_2fun_2determinant_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">A_</a></div><div class="ttdeci">double * A_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2determinant_8hpp_source.html#l00019">determinant.hpp:19</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a63ab2582fc9a5a31d3d4f38a6420174e"><div class="ttname"><a href="namespacestan_1_1math.html#a63ab2582fc9a5a31d3d4f38a6420174e">stan::math::determinant</a></div><div class="ttdeci">fvar&lt; T &gt; determinant(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2determinant_8hpp_source.html#l00021">determinant.hpp:21</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2determinant_8hpp_html_ac289fdc094f4376437157416320ac3bd"><div class="ttname"><a href="rev_2mat_2fun_2determinant_8hpp.html#ac289fdc094f4376437157416320ac3bd">_adjARef</a></div><div class="ttdeci">vari ** _adjARef</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2determinant_8hpp_source.html#l00020">determinant.hpp:20</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2determinant_8hpp_html_a3e8959363f536b448785cdfdb1dd461a"><div class="ttname"><a href="rev_2mat_2fun_2determinant_8hpp.html#a3e8959363f536b448785cdfdb1dd461a">_rows</a></div><div class="ttdeci">int _rows</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2determinant_8hpp_source.html#l00017">determinant.hpp:17</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2to__var_8hpp_source.html">stan/math/rev/mat/fun/to_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a818fcac13304ea5c8679b3fc38e51ac1"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
+<tr class="memitem:a818fcac13304ea5c8679b3fc38e51ac1"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a818fcac13304ea5c8679b3fc38e51ac1">stan::math::divide</a> (const Eigen::Matrix&lt; T1, R, C &gt; &amp;v, const T2 &amp;c)</td></tr>
+<tr class="memdesc:a818fcac13304ea5c8679b3fc38e51ac1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the division of the specified column vector by the specified scalar.  <a href="namespacestan_1_1math.html#a818fcac13304ea5c8679b3fc38e51ac1">More...</a><br /></td></tr>
+<tr class="separator:a818fcac13304ea5c8679b3fc38e51ac1"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="mat_2fun_2to__var_8hpp_html"><div class="ttname"><a href="mat_2fun_2to__var_8hpp.html">to_var.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:ad70b6ae039b48ca04b071daf5e265363"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product.  <a href="namespacestan_1_1math.html#ad70b6ae039b48ca04b071daf5e265363">More...</a><br /></td></tr>
+<tr class="separator:ad70b6ae039b48ca04b071daf5e265363"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:afc208771c9df3e3e96901fb27a05dde0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product.  <a href="namespacestan_1_1math.html#afc208771c9df3e3e96901fb27a05dde0">More...</a><br /></td></tr>
+<tr class="separator:afc208771c9df3e3e96901fb27a05dde0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a07462a84486826d0b7fe3cfebb51d386"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
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+<tr class="memdesc:a07462a84486826d0b7fe3cfebb51d386"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product.  <a href="namespacestan_1_1math.html#a07462a84486826d0b7fe3cfebb51d386">More...</a><br /></td></tr>
+<tr class="separator:a07462a84486826d0b7fe3cfebb51d386"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="af0c9b7dcc98dce1d0edf7cb6ce49103b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t length_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html#l00038">38</a> of file <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
+
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+          <td class="memname">dot_product_store_type&lt;T1&gt;::type v1_</td>
+        </tr>
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+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html#l00036">36</a> of file <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
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+<div class="memitem">
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+          <td class="memname">dot_product_store_type&lt;T2&gt;::type v2_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html#l00037">37</a> of file <a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html">dot_product.hpp</a>.</p>
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+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__vector_8hpp.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__sizes_8hpp.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;boost/utility/enable_if.hpp&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits.hpp&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">struct </span>dot_product_store_type;</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">struct </span>dot_product_store_type&lt;var&gt; {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        <span class="keyword">typedef</span> vari** type;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      };</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">template</span>&lt;&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">struct </span>dot_product_store_type&lt;double&gt; {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <span class="keyword">typedef</span> <span class="keywordtype">double</span>* type;</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">class </span>dot_product_vari : <span class="keyword">public</span> vari {</div>
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+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2dot__product_8hpp.html#a27e3d8b375e8f1fb1cb0078d150879ea">   37</a></span>&#160;        <span class="keyword">typename</span> dot_product_store_type&lt;T2&gt;::type <a class="code" href="rev_2mat_2fun_2dot__product_8hpp.html#a27e3d8b375e8f1fb1cb0078d150879ea">v2_</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2dot__product_8hpp.html#af0c9b7dcc98dce1d0edf7cb6ce49103b">   38</a></span>&#160;        <span class="keywordtype">size_t</span> <a class="code" href="rev_2mat_2fun_2dot__product_8hpp.html#af0c9b7dcc98dce1d0edf7cb6ce49103b">length_</a>;</div>
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+<tr class="memdesc:add9f13b58d14d7b7b8cc43ab30a434d0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the dot product of a vector with itself.  <a href="namespacestan_1_1math.html#add9f13b58d14d7b7b8cc43ab30a434d0">More...</a><br /></td></tr>
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+          <td class="memname">size_t size_</td>
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+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2dot__self_8hpp_source.html#l00018">18</a> of file <a class="el" href="rev_2mat_2fun_2dot__self_8hpp_source.html">dot_self.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2dot__self_8hpp_source.html#l00017">17</a> of file <a class="el" href="rev_2mat_2fun_2dot__self_8hpp_source.html">dot_self.hpp</a>.</p>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_1dcd98e7c4f45b41e0c83c911c6e550e.html">mat</a></li><li class="navelem"><a class="el" href="dir_a8d8e59947adb18b6db2afc7a0c714ad.html">fun</a></li>  </ul>
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+<div class="title">dot_self.hpp</div>  </div>
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+<div class="contents">
+<a href="rev_2mat_2fun_2dot__self_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_DOT_SELF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_DOT_SELF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__vector_8hpp.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2typedefs_8hpp.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">class </span>dot_self_vari : <span class="keyword">public</span> vari {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2dot__self_8hpp.html#ad96f2a078f01703996f5677e20cc34cd">   17</a></span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#ad96f2a078f01703996f5677e20cc34cd">v_</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">   18</a></span>&#160;        <span class="keywordtype">size_t</span> <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        dot_self_vari(vari** v, <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>)</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;          : vari(var_dot_self(v, size)),</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;            v_(v),</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;            size_(size) {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        }</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        <span class="keyword">explicit</span> dot_self_vari(<span class="keyword">const</span> Eigen::DenseBase&lt;Derived&gt; &amp;v) :</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;          vari(var_dot_self(v)), size_(v.<a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>()) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;          v_ = <span class="keyword">reinterpret_cast&lt;</span>vari**<span class="keyword">&gt;</span>(<a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                                        .<a class="code" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">alloc</a>(size_*<span class="keyword">sizeof</span>(vari*)));</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; i++)</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;            v_[i] = v[i].vi_;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        }</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        <span class="keyword">explicit</span> dot_self_vari(<span class="keyword">const</span> Eigen::Matrix&lt;var, R, C&gt;&amp; v) :</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;          vari(var_dot_self(v)), size_(v.<a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>()) {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;          v_ = <span class="keyword">reinterpret_cast&lt;</span>vari**<span class="keyword">&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;            (<a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a>.<a class="code" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">alloc</a>(size_ * <span class="keyword">sizeof</span>(vari*)));</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; ++i)</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;            v_[i] = v(i).vi_;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(<span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> x * x; }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">double</span> var_dot_self(vari** v, <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;          <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a> = 0.0;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            sum += <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(v[i]-&gt;val_);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        }</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Derived&gt;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keywordtype">double</span> var_dot_self(<span class="keyword">const</span> Eigen::DenseBase&lt;Derived&gt; &amp;v) {</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;          <span class="keywordtype">double</span> sum = 0.0;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; v.size(); ++i)</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            sum += <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(v(i).vi_-&gt;val_);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        }</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">double</span> var_dot_self(<span class="keyword">const</span> Eigen::Matrix&lt;var, R, C&gt; &amp;v) {</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;          <span class="keywordtype">double</span> sum = 0.0;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; v.size(); ++i)</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            sum += <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(v(i).vi_-&gt;val_);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        }</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keyword">virtual</span> <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a>; ++i)</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;            v_[i]-&gt;adj_ += adj_ * 2.0 * v_[i]-&gt;val_;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      };</div>
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+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#add9f13b58d14d7b7b8cc43ab30a434d0">   80</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a1edae52ce70f3f0a9f7eb15f3416007c">dot_self</a>(<span class="keyword">const</span> Eigen::Matrix&lt;var, R, C&gt;&amp; v) {</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5b78e5ddf65db13aaa65a6c58205fbf2">stan::math::check_vector</a>(<span class="stringliteral">&quot;dot_self&quot;</span>, <span class="stringliteral">&quot;v&quot;</span>, v);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> dot_self_vari(v));</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  }</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;}</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5b78e5ddf65db13aaa65a6c58205fbf2"><div class="ttname"><a href="namespacestan_1_1math.html#a5b78e5ddf65db13aaa65a6c58205fbf2">stan::math::check_vector</a></div><div class="ttdeci">bool check_vector(const char *function, const char *name, const Eigen::Matrix&lt; T, R, C &gt; &amp;x)</div><div class="ttdoc">Return true if the matrix is either a row vector or column vector. </div><div class="ttdef"><b>Definition:</b> <a href="check__vector_8hpp_source.html#l00034">check_vector.hpp:34</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a1397a6cac3999e6be0b4c7a92cfa4c3e"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">stan::math::AutodiffStackStorage::memalloc_</a></div><div class="ttdeci">static stack_alloc memalloc_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00016">autodiffstackstorage.hpp:16</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1edae52ce70f3f0a9f7eb15f3416007c"><div class="ttname"><a href="namespacestan_1_1math.html#a1edae52ce70f3f0a9f7eb15f3416007c">stan::math::dot_self</a></div><div class="ttdeci">fvar&lt; T &gt; dot_self(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__self_8hpp_source.html#l00016">dot_self.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2dot__self_8hpp_html_a5f31775800bbb46b35b5791def1f3acc"><div class="ttname"><a href="rev_2mat_2fun_2dot__self_8hpp.html#a5f31775800bbb46b35b5791def1f3acc">size_</a></div><div class="ttdeci">size_t size_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2dot__self_8hpp_source.html#l00018">dot_self.hpp:18</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2dot__self_8hpp_html_ad96f2a078f01703996f5677e20cc34cd"><div class="ttname"><a href="rev_2mat_2fun_2dot__self_8hpp.html#ad96f2a078f01703996f5677e20cc34cd">v_</a></div><div class="ttdeci">vari ** v_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2dot__self_8hpp_source.html#l00017">dot_self.hpp:17</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="check__vector_8hpp_html"><div class="ttname"><a href="check__vector_8hpp.html">check_vector.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
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+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<a href="rev_2mat_2fun_2log__determinant_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_LOG_DETERMINANT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_LOG_DETERMINANT_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> <a class="code" href="classstan_1_1math_1_1precomputed__gradients__vari.html">precomputed_gradients_vari</a>(val, m.size(),</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_l_d_l_t__alloc_8hpp_source.html">stan/math/rev/mat/fun/LDLT_alloc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">stan/math/rev/mat/fun/LDLT_factor.hpp</a>&gt;</code><br />
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+<tr class="memitem:acc785decbbbee8de2a2b8f2df9715d48"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:acc785decbbbee8de2a2b8f2df9715d48"><td class="memTemplItemLeft" align="right" valign="top">var&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#acc785decbbbee8de2a2b8f2df9715d48">stan::math::log_determinant_ldlt</a> (<a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; var, R, C &gt; &amp;A)</td></tr>
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+<a class="anchor" id="a09778e4b593c6f100918974eab7ed098"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const LDLT_alloc&lt;R, C&gt;* _alloc_ldlt</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2log__determinant__ldlt_8hpp_source.html#l00043">43</a> of file <a class="el" href="rev_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">log_determinant_ldlt.hpp</a>.</p>
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+<a href="rev_2mat_2fun_2log__determinant__ldlt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_LOG_DETERMINANT_LDLT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_LOG_DETERMINANT_LDLT_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/rev/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a1d95f632b80e8653fe5891209bdeda45"><div class="ttname"><a href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">stan::math::log_determinant_ldlt</a></div><div class="ttdeci">T log_determinant_ldlt(stan::math::LDLT_factor&lt; T, R, C &gt; &amp;A)</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html#l00012">log_determinant_ldlt.hpp:12</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="domain__error_8hpp_source.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_1dcd98e7c4f45b41e0c83c911c6e550e.html">mat</a></li><li class="navelem"><a class="el" href="dir_a8d8e59947adb18b6db2afc7a0c714ad.html">fun</a></li>  </ul>
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+<div class="title">log_determinant_spd.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2log__determinant__spd_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_LOG_DETERMINANT_SPD_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_LOG_DETERMINANT_SPD_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="domain__error_8hpp.html">stan/math/prim/scal/err/domain_error.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a18ff74da7a827b5e433fc8d65d8b73e9">   15</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#ae9a296d4414d0193108c70b350a05cfc">log_determinant_spd</a>(<span class="keyword">const</span> Eigen::Matrix&lt;var, R, C&gt;&amp; m) {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a>;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">math::check_square</a>(<span class="stringliteral">&quot;log_determinant_spd&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, m);</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      Matrix&lt;double, R, C&gt; m_d(m.rows(), m.cols());</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; m.size(); ++i)</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        m_d(i) = m(i).val();</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      Eigen::LDLT&lt;Matrix&lt;double, R, C&gt; &gt; ldlt(m_d);</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keywordflow">if</span> (ldlt.info() != Eigen::Success) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        <span class="keywordtype">double</span> y = 0;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="stringliteral">&quot;log_determinant_spd&quot;</span>,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                <span class="stringliteral">&quot;matrix argument&quot;</span>, y,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                <span class="stringliteral">&quot;failed LDLT factorization&quot;</span>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;       <span class="comment">// compute the inverse of A (needed for the derivative)</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      m_d.setIdentity(m.rows(), m.cols());</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      ldlt.solveInPlace(m_d);</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keywordflow">if</span> (ldlt.isNegative() || (ldlt.vectorD().array() &lt;= 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-16).any()) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordtype">double</span> y = 0;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="stringliteral">&quot;log_determinant_spd&quot;</span>,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                <span class="stringliteral">&quot;matrix argument&quot;</span>, y,</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                <span class="stringliteral">&quot;matrix is negative definite&quot;</span>);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordtype">double</span> val = ldlt.vectorD().array().log().sum();</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="namespaceboost_1_1math.html#a99b3c9ca2565e57981ac77d110c0f26d">boost::math::isfinite</a>(val)) {</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordtype">double</span> y = 0;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">domain_error</a>(<span class="stringliteral">&quot;log_determinant_spd&quot;</span>,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                <span class="stringliteral">&quot;matrix argument&quot;</span>, y,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                <span class="stringliteral">&quot;log determininant is infinite&quot;</span>);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>** operands = <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        .<a class="code" href="classstan_1_1math_1_1stack__alloc.html#ac00d799a98c424893745b20166cff14b">alloc_array</a>&lt;<a class="code" href="classstan_1_1math_1_1vari.html">vari</a>*&gt;(m.size());</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; m.size(); ++i)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        operands[i] = m(i).vi_;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordtype">double</span>* gradients = <a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        .<a class="code" href="classstan_1_1math_1_1stack__alloc.html#ac00d799a98c424893745b20166cff14b">alloc_array</a>&lt;<span class="keywordtype">double</span>&gt;(m.size());</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; m.size(); ++i)</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        gradients[i] = m_d(i);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> <a class="code" href="classstan_1_1math_1_1precomputed__gradients__vari.html">precomputed_gradients_vari</a>(val, m.size(),</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                                                operands, gradients));</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;  }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;}</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a99b3c9ca2565e57981ac77d110c0f26d"><div class="ttname"><a href="namespaceboost_1_1math.html#a99b3c9ca2565e57981ac77d110c0f26d">boost::math::isfinite</a></div><div class="ttdeci">bool isfinite(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number has finite value. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isfinite_8hpp_source.html#l00022">boost_isfinite.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a1397a6cac3999e6be0b4c7a92cfa4c3e"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">stan::math::AutodiffStackStorage::memalloc_</a></div><div class="ttdeci">static stack_alloc memalloc_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00016">autodiffstackstorage.hpp:16</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomputed__gradients__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1precomputed__gradients__vari.html">stan::math::precomputed_gradients_vari</a></div><div class="ttdoc">A variable implementation taking a sequence of operands and partial derivatives with respect to the o...</div><div class="ttdef"><b>Definition:</b> <a href="precomputed__gradients_8hpp_source.html#l00021">precomputed_gradients.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1stack__alloc_html_ac00d799a98c424893745b20166cff14b"><div class="ttname"><a href="classstan_1_1math_1_1stack__alloc.html#ac00d799a98c424893745b20166cff14b">stan::math::stack_alloc::alloc_array</a></div><div class="ttdeci">T * alloc_array(size_t n)</div><div class="ttdoc">Allocate an array on the arena of the specified size to hold values of the specified template paramet...</div><div class="ttdef"><b>Definition:</b> <a href="stack__alloc_8hpp_source.html#l00186">stack_alloc.hpp:186</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="domain__error_8hpp_html"><div class="ttname"><a href="domain__error_8hpp.html">domain_error.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae9a296d4414d0193108c70b350a05cfc"><div class="ttname"><a href="namespacestan_1_1math.html#ae9a296d4414d0193108c70b350a05cfc">stan::math::log_determinant_spd</a></div><div class="ttdeci">T log_determinant_spd(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdoc">Returns the log absolute determinant of the specified square matrix. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2log__determinant__spd_8hpp_source.html#l00019">log_determinant_spd.hpp:19</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+   &#160;<span id="projectnumber">2.10.0</span>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__softmax_8hpp_source.html">stan/math/prim/mat/fun/log_softmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2softmax_8hpp_source.html">stan/math/prim/mat/fun/softmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2log__softmax_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a443bda462051b08fcd0274c3ae1c73aa"><td class="memItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a443bda462051b08fcd0274c3ae1c73aa">stan::math::log_softmax</a> (const Eigen::Matrix&lt; var, Eigen::Dynamic, 1 &gt; &amp;alpha)</td></tr>
+<tr class="memdesc:a443bda462051b08fcd0274c3ae1c73aa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the softmax of the specified <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector.  <a href="namespacestan_1_1math.html#a443bda462051b08fcd0274c3ae1c73aa">More...</a><br /></td></tr>
+<tr class="separator:a443bda462051b08fcd0274c3ae1c73aa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="acd28daa1fad3aaa17c91e2ca90526175"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">vari** alpha_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp_source.html#l00020">20</a> of file <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp_source.html">log_softmax.hpp</a>.</p>
+
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+<a class="anchor" id="a48e1ddf96b6a9b19ecead9aca544bb31"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int idx_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp_source.html#l00023">23</a> of file <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp_source.html">log_softmax.hpp</a>.</p>
+
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+</div>
+<a class="anchor" id="a50218915641ec8f39877c2565e95a604"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int size_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp_source.html#l00022">22</a> of file <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp_source.html">log_softmax.hpp</a>.</p>
+
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+<a class="anchor" id="a1e7fc23c4da87820ad49b66444825c34"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double* softmax_alpha_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp_source.html#l00021">21</a> of file <a class="el" href="rev_2mat_2fun_2log__softmax_8hpp_source.html">log_softmax.hpp</a>.</p>
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+<div class="title">log_softmax.hpp</div>  </div>
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+<a href="rev_2mat_2fun_2log__softmax_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_LOG_SOFTMAX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_LOG_SOFTMAX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__softmax_8hpp.html">stan/math/prim/mat/fun/log_softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2softmax_8hpp.html">stan/math/prim/mat/fun/softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">class </span>log_softmax_elt_vari : <span class="keyword">public</span> vari {</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">public</span>:</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        }</div>
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+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
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+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
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+<div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a443bda462051b08fcd0274c3ae1c73aa">   61</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">log_softmax</a>(<span class="keyword">const</span> Eigen::Matrix&lt;var, Eigen::Dynamic, 1&gt;&amp; alpha) {</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a>(<span class="stringliteral">&quot;log_softmax&quot;</span>, <span class="stringliteral">&quot;alpha&quot;</span>, alpha);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">if</span> (alpha.size() == 0)</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;arg vector to log_softmax() &quot;</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                                <span class="stringliteral">&quot;must have size &gt; 0&quot;</span>);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">if</span> (alpha.size() == 0)</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;arg vector to log_softmax() &quot;</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;                                <span class="stringliteral">&quot;must have size &gt; 0&quot;</span>);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">if</span> (alpha.size() == 0)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">throw</span> <a class="code" href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">std::domain_error</a>(<span class="stringliteral">&quot;arg vector to log_softmax() &quot;</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                                <span class="stringliteral">&quot;must have size &gt; 0&quot;</span>);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// TODO(carpenter): replace with array alloc</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>** alpha_vi_array</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        = <span class="keyword">reinterpret_cast&lt;</span><a class="code" href="classstan_1_1math_1_1vari.html">vari</a>**<span class="keyword">&gt;</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        (vari::operator <span class="keyword">new</span>(<span class="keyword">sizeof</span>(<a class="code" href="classstan_1_1math_1_1vari.html">vari</a>*) * alpha.size()));</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; alpha.size(); ++i)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        alpha_vi_array[i] = alpha(i).vi_;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      Matrix&lt;double, Dynamic, 1&gt; alpha_d(alpha.size());</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; alpha_d.size(); ++i)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        alpha_d(i) = alpha(i).val();</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="comment">// fold logic of math::softmax() and math::log_softmax()</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="comment">// to save computations</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      Matrix&lt;double, Dynamic, 1&gt; softmax_alpha_d(alpha_d.size());</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      Matrix&lt;double, Dynamic, 1&gt; log_softmax_alpha_d(alpha_d.size());</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordtype">double</span> max_v = alpha_d.maxCoeff();</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a> = 0.0;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; alpha_d.size(); ++i) {</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        softmax_alpha_d(i) = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>(alpha_d(i) - max_v);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        sum += softmax_alpha_d(i);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; alpha_d.size(); ++i)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        softmax_alpha_d(i) /= <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a>;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keywordtype">double</span> log_sum = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>(sum);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; alpha_d.size(); ++i)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        log_softmax_alpha_d(i) = (alpha_d(i) - max_v) - log_sum;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="comment">// end fold</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <span class="comment">// TODO(carpenter): replace with array alloc</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keywordtype">double</span>* softmax_alpha_d_array</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        = <span class="keyword">reinterpret_cast&lt;</span><span class="keywordtype">double</span>*<span class="keyword">&gt;</span></div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        (vari::operator <span class="keyword">new</span>(<span class="keyword">sizeof</span>(double) * alpha_d.size()));</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; alpha_d.size(); ++i)</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        softmax_alpha_d_array[i] = softmax_alpha_d(i);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      Matrix&lt;var, Dynamic, 1&gt; log_softmax_alpha(alpha.size());</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; log_softmax_alpha.size(); ++k)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        log_softmax_alpha(k)</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;          = <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> log_softmax_elt_vari(log_softmax_alpha_d[k],</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                                         alpha_vi_array,</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                                         softmax_alpha_d_array,</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;                                         alpha.size(),</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                                         k));</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      <span class="keywordflow">return</span> log_softmax_alpha;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    }</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  }</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;}</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2log__softmax_8hpp_html_a50218915641ec8f39877c2565e95a604"><div class="ttname"><a href="rev_2mat_2fun_2log__softmax_8hpp.html#a50218915641ec8f39877c2565e95a604">size_</a></div><div class="ttdeci">const int size_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2log__softmax_8hpp_source.html#l00022">log_softmax.hpp:22</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2log__softmax_8hpp_html_a48e1ddf96b6a9b19ecead9aca544bb31"><div class="ttname"><a href="rev_2mat_2fun_2log__softmax_8hpp.html#a48e1ddf96b6a9b19ecead9aca544bb31">idx_</a></div><div class="ttdeci">const int idx_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2log__softmax_8hpp_source.html#l00023">log_softmax.hpp:23</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2log__softmax_8hpp_html_a1e7fc23c4da87820ad49b66444825c34"><div class="ttname"><a href="rev_2mat_2fun_2log__softmax_8hpp.html#a1e7fc23c4da87820ad49b66444825c34">softmax_alpha_</a></div><div class="ttdeci">const double * softmax_alpha_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2log__softmax_8hpp_source.html#l00021">log_softmax.hpp:21</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a558975cc79251cd99966f99ed8795ddc"><div class="ttname"><a href="namespacestan_1_1math.html#a558975cc79251cd99966f99ed8795ddc">stan::math::log_softmax</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt; log_softmax(const Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt; &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2log__softmax_8hpp_source.html#l00016">log_softmax.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a97c3c23033e47a923ed5ce26a4deeba5"><div class="ttname"><a href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a></div><div class="ttdeci">bool check_nonzero_size(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if the specified matrix/vector is of non-zero size. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonzero__size_8hpp_source.html#l00030">check_nonzero_size.hpp:30</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2softmax_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2softmax_8hpp.html">softmax.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2log__softmax_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__softmax_8hpp.html">log_softmax.hpp</a></div></div>
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+<div class="ttc" id="check__nonzero__size_8hpp_html"><div class="ttname"><a href="check__nonzero__size_8hpp.html">check_nonzero_size.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="calculate__chain_8hpp_source.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/scal/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2log__sum__exp_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa99a093a231daf213b589a2c96644fd7"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:aa99a093a231daf213b589a2c96644fd7"><td class="memTemplItemLeft" align="right" valign="top">var&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa99a093a231daf213b589a2c96644fd7">stan::math::log_sum_exp</a> (const Eigen::Matrix&lt; var, R, C &gt; &amp;x)</td></tr>
+<tr class="memdesc:aa99a093a231daf213b589a2c96644fd7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="namespacestan_1_1math.html#aa99a093a231daf213b589a2c96644fd7">More...</a><br /></td></tr>
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+<div class="title">log_sum_exp.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2log__sum__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_LOG_SUM_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_LOG_SUM_EXP_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="calculate__chain_8hpp.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__sum__exp_8hpp.html">stan/math/prim/scal/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="comment">// these function and the following class just translate</span></div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        <span class="keyword">using</span> std::numeric_limits;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_1dcd98e7c4f45b41e0c83c911c6e550e.html">mat</a></li><li class="navelem"><a class="el" href="dir_a8d8e59947adb18b6db2afc7a0c714ad.html">fun</a></li>  </ul>
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+<div class="title">mdivide_left.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2mdivide__left_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_MDIVIDE_LEFT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_MDIVIDE_LEFT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2typedefs_8hpp.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">class </span>mdivide_left_vv_vari : <span class="keyword">public</span> vari {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">   19</a></span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>;  <span class="comment">// A.rows() = A.cols() = B.rows()</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">   20</a></span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>;  <span class="comment">// B.cols()</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">   21</a></span>&#160;        <span class="keywordtype">double</span>* <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">A_</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a03e9f8989e0f5a0117b426e2b204933a">   22</a></span>&#160;        <span class="keywordtype">double</span>* <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a03e9f8989e0f5a0117b426e2b204933a">C_</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left_8hpp.html#aea7df605462946b48f6c8200fe67a467">   23</a></span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#aea7df605462946b48f6c8200fe67a467">_variRefA</a>;</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left_8hpp.html#aa2a293603982ac5da732ef1c85aabcd4">   24</a></span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#aa2a293603982ac5da732ef1c85aabcd4">_variRefB</a>;</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">   25</a></span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">_variRefC</a>;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        mdivide_left_vv_vari(<span class="keyword">const</span> Eigen::Matrix&lt;var, R1, C1&gt; &amp;A,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                             <span class="keyword">const</span> Eigen::Matrix&lt;var, R2, C2&gt; &amp;B)</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;          : vari(0.0),</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;            M_(A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>()),</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;            N_(B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()),</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;            A_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                .alloc(sizeof(double) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;            C_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                .alloc(sizeof(double) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;            _variRefA(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                       .alloc(sizeof(vari*) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            _variRefC(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))) {</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          <span class="keywordtype">size_t</span> pos = 0;</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; i++) {</div>
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+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;              _variRefC[pos] = <span class="keyword">new</span> vari(C_[pos], <span class="keyword">false</span>);</div>
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+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          Eigen::Matrix&lt;double, R1, C1&gt; adjA(M_, M_);</div>
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+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          adjB = Map&lt;Matrix&lt;double, R1, C1&gt; &gt;(<a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">A_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            .<a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>().colPivHouseholderQr().solve(adjC);</div>
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+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;            * Map&lt;Matrix&lt;double, R1, C2&gt; &gt;(<a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a03e9f8989e0f5a0117b426e2b204933a">C_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>).<a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>();</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          pos = 0;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; adjA.cols(); j++)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; adjA.rows(); i++)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;              _variRefA[pos++]-&gt;adj_ += adjA(i, j);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          pos = 0;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; adjB.cols(); j++)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; adjB.rows(); i++)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;              _variRefB[pos++]-&gt;adj_ += adjB(i, j);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        }</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      };</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <span class="keyword">class </span>mdivide_left_dv_vari : <span class="keyword">public</span> vari {</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>;  <span class="comment">// A.rows() = A.cols() = B.rows()</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>;  <span class="comment">// B.cols()</span></div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordtype">double</span>* <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">A_</a>;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordtype">double</span>* <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a03e9f8989e0f5a0117b426e2b204933a">C_</a>;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#aa2a293603982ac5da732ef1c85aabcd4">_variRefB</a>;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">_variRefC</a>;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        mdivide_left_dv_vari(<span class="keyword">const</span> Eigen::Matrix&lt;double, R1, C1&gt; &amp;A,</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                             <span class="keyword">const</span> Eigen::Matrix&lt;var, R2, C2&gt; &amp;B)</div>
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+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;            M_(A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>()),</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            N_(B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()),</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;            A_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                .alloc(sizeof(double) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            C_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                .alloc(sizeof(double) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            _variRefB(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;            _variRefC(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))) {</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;          <span class="keywordtype">size_t</span> pos = 0;</div>
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+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            .colPivHouseholderQr().solve(C);</div>
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+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;          Eigen::Matrix&lt;double, R2, C2&gt; adjB(M_, N_);</div>
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+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;      <span class="keyword">class </span>mdivide_left_vd_vari : <span class="keyword">public</span> vari {</div>
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+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>;  <span class="comment">// A.rows() = A.cols() = B.rows()</span></div>
+<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>;  <span class="comment">// B.cols()</span></div>
+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;        <span class="keywordtype">double</span>* <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">A_</a>;</div>
+<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;        <span class="keywordtype">double</span>* <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a03e9f8989e0f5a0117b426e2b204933a">C_</a>;</div>
+<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#aea7df605462946b48f6c8200fe67a467">_variRefA</a>;</div>
+<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">_variRefC</a>;</div>
+<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;</div>
+<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;        mdivide_left_vd_vari(<span class="keyword">const</span> Eigen::Matrix&lt;var, R1, C1&gt; &amp;A,</div>
+<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;                             <span class="keyword">const</span> Eigen::Matrix&lt;double, R2, C2&gt; &amp;B)</div>
+<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;          : vari(0.0),</div>
+<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;            M_(A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>()),</div>
+<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;            N_(B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()),</div>
+<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;            A_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;                .alloc(sizeof(double) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;            C_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;                .alloc(sizeof(double) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;            _variRefA(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;                       .alloc(sizeof(vari*) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;            _variRefC(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))) {</div>
+<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;</div>
+<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;          <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; j++) {</div>
+<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; i++) {</div>
+<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;              _variRefA[pos] = A(i, j).vi_;</div>
+<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;              A_[pos++] = A(i, j).val();</div>
+<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;            }</div>
+<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;          }</div>
+<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;</div>
+<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;          Matrix&lt;double, R1, C2&gt; C(M_, N_);</div>
+<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;          C = Map&lt;Matrix&lt;double, R1, C1&gt; &gt;(<a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">A_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>)</div>
+<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;            .colPivHouseholderQr().solve(B);</div>
+<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;</div>
+<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;          pos = 0;</div>
+<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>; j++) {</div>
+<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; i++) {</div>
+<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;              C_[pos] = C(i, j);</div>
+<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;              _variRefC[pos] = <span class="keyword">new</span> vari(C_[pos], <span class="keyword">false</span>);</div>
+<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;              pos++;</div>
+<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;            }</div>
+<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;          }</div>
+<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;        }</div>
+<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;</div>
+<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;        <span class="keyword">virtual</span> <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;          Eigen::Matrix&lt;double, R1, C1&gt; adjA(M_, M_);</div>
+<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;          Eigen::Matrix&lt;double, R1, C2&gt; adjC(M_, N_);</div>
+<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;</div>
+<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;          <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; adjC.cols(); j++)</div>
+<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; adjC.rows(); i++)</div>
+<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;              adjC(i, j) = _variRefC[pos++]-&gt;adj_;</div>
+<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;</div>
+<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;          <span class="comment">// FIXME: add .noalias() to LHS</span></div>
+<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;          adjA = -Map&lt;Matrix&lt;double, R1, C1&gt; &gt;(<a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">A_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>)</div>
+<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;            .<a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>()</div>
+<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;            .colPivHouseholderQr()</div>
+<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;            .solve(adjC*Map&lt;Matrix&lt;double, R1, C2&gt; &gt;(C_, M_, N_).<a class="code" href="namespacestan_1_1math.html#a89f315f3af384f2d49a3a26eaef209ac">transpose</a>());</div>
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+<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;          pos = 0;</div>
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+<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; adjA.rows(); i++)</div>
+<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;              _variRefA[pos++]-&gt;adj_ += adjA(i, j);</div>
+<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;        }</div>
+<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;      };</div>
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+<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;    Eigen::Matrix&lt;var, R1, C2&gt;</div>
+<div class="line"><a name="l00274"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aef0d163d45e4ee75444257dea341b731">  274</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0f50d0ea5c9343dae0945012924f127c">mdivide_left</a>(<span class="keyword">const</span> Eigen::Matrix&lt;var, R1, C1&gt; &amp;A,</div>
+<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;                 <span class="keyword">const</span> Eigen::Matrix&lt;var, R2, C2&gt; &amp;b) {</div>
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+<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;mdivide_left&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left&quot;</span>,</div>
+<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;                                      <span class="stringliteral">&quot;A&quot;</span>, A,</div>
+<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;                                      <span class="stringliteral">&quot;b&quot;</span>, b);</div>
+<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;</div>
+<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;      <span class="comment">// NOTE: this is not a memory leak, this vari is used in the</span></div>
+<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;      <span class="comment">// expression graph to evaluate the adjoint, but is not needed</span></div>
+<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;      <span class="comment">// for the returned matrix.  Memory will be cleaned up with the</span></div>
+<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;      <span class="comment">// arena allocator.</span></div>
+<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;      mdivide_left_vv_vari&lt;R1, C1, R2, C2&gt; *baseVari</div>
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+<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;        <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; res.rows(); i++)</div>
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+<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;</div>
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+<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;    Eigen::Matrix&lt;var, R1, C2&gt;</div>
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+<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;</div>
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+<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left&quot;</span>,</div>
+<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;                                      <span class="stringliteral">&quot;A&quot;</span>, A,</div>
+<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;                                      <span class="stringliteral">&quot;b&quot;</span>, b);</div>
+<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;</div>
+<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;      <span class="comment">// NOTE: this is not a memory leak, this vari is used in the</span></div>
+<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;      <span class="comment">// expression graph to evaluate the adjoint, but is not needed</span></div>
+<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;      <span class="comment">// for the returned matrix.  Memory will be cleaned up with the</span></div>
+<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;      <span class="comment">// arena allocator.</span></div>
+<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;      mdivide_left_vd_vari&lt;R1, C1, R2, C2&gt; *baseVari</div>
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+<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;</div>
+<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;      <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; res.cols(); j++)</div>
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+<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;      <span class="keywordflow">return</span> res;</div>
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+<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
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+<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;      <span class="comment">// NOTE: this is not a memory leak, this vari is used in the</span></div>
+<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;      <span class="comment">// expression graph to evaluate the adjoint, but is not needed</span></div>
+<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;      <span class="comment">// for the returned matrix.  Memory will be cleaned up with the</span></div>
+<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;      <span class="comment">// arena allocator.</span></div>
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+<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;      <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;      <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; res.cols(); j++)</div>
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+<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;          res(i, j).vi_ = baseVari-&gt;_variRefC[pos++];</div>
+<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;</div>
+<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;      <span class="keywordflow">return</span> res;</div>
+<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160;    }</div>
+<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;</div>
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+<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;}</div>
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+<div class="ttc" id="namespacestan_1_1math_html_ae17fdbe8f98c5d6c887b49f99e6d4a03"><div class="ttname"><a href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">stan::math::rows</a></div><div class="ttdeci">int rows(const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</div><div class="ttdoc">Return the number of rows in the specified matrix, vector, or row vector. </div><div class="ttdef"><b>Definition:</b> <a href="rows_8hpp_source.html#l00020">rows.hpp:20</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
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+<div class="ttc" id="rev_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<div class="ttc" id="rev_2mat_2fun_2mdivide__left_8hpp_html_aea7df605462946b48f6c8200fe67a467"><div class="ttname"><a href="rev_2mat_2fun_2mdivide__left_8hpp.html#aea7df605462946b48f6c8200fe67a467">_variRefA</a></div><div class="ttdeci">vari ** _variRefA</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2mdivide__left_8hpp_source.html#l00023">mdivide_left.hpp:23</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">mdivide_left_ldlt.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_l_d_l_t__alloc_8hpp_source.html">stan/math/rev/mat/fun/LDLT_alloc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">stan/math/rev/mat/fun/LDLT_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a84f1163f092f8ce7053a67d3d46302ef"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a84f1163f092f8ce7053a67d3d46302ef"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a84f1163f092f8ce7053a67d3d46302ef">stan::math::mdivide_left_ldlt</a> (const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; var, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; var, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="memdesc:a84f1163f092f8ce7053a67d3d46302ef"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A.  <a href="namespacestan_1_1math.html#a84f1163f092f8ce7053a67d3d46302ef">More...</a><br /></td></tr>
+<tr class="separator:a84f1163f092f8ce7053a67d3d46302ef"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6a4be1cd5b51a7d2758a75e9541ad042"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a6a4be1cd5b51a7d2758a75e9541ad042"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6a4be1cd5b51a7d2758a75e9541ad042">stan::math::mdivide_left_ldlt</a> (const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; var, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="memdesc:a6a4be1cd5b51a7d2758a75e9541ad042"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A.  <a href="namespacestan_1_1math.html#a6a4be1cd5b51a7d2758a75e9541ad042">More...</a><br /></td></tr>
+<tr class="separator:a6a4be1cd5b51a7d2758a75e9541ad042"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aed166703ba12f63c6cad94e0cc5a6f8f"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:aed166703ba12f63c6cad94e0cc5a6f8f"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aed166703ba12f63c6cad94e0cc5a6f8f">stan::math::mdivide_left_ldlt</a> (const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; double, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; var, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="memdesc:aed166703ba12f63c6cad94e0cc5a6f8f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the solution of the system Ax=b given an <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor</a> of A.  <a href="namespacestan_1_1math.html#aed166703ba12f63c6cad94e0cc5a6f8f">More...</a><br /></td></tr>
+<tr class="separator:aed166703ba12f63c6cad94e0cc5a6f8f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="a6333f1364c14f8f834a56541108a543d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">mdivide_left_ldlt_alloc&lt;R1, C1, R2, C2&gt;* _alloc</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00044">44</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6dcfe87b81ca8eb9dc23b285f6858057"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const LDLT_alloc&lt;R1, C1&gt;* _alloc_ldlt</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00045">45</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a45a78506bb83f07720da6b8430e8cad7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">boost::shared_ptr&lt;Eigen::LDLT&lt;Eigen::Matrix&lt;double, R1, C1&gt; &gt; &gt; _ldltP</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>This share_ptr is used to prevent copying the LDLT factorizations for mdivide_left_ldlt(ldltA, b) when ldltA is a LDLT_factor&lt;double&gt;. </p>
+<p>The pointer is shared with the LDLT_factor&lt;double&gt; class. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00023">23</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa2a293603982ac5da732ef1c85aabcd4"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">vari** _variRefB</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00042">42</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab81845acdc3a00d1a9358f95da0d560e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">vari** _variRefC</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00043">43</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a43b33b1b4279ce27f514eaed1daece58"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;double, R2, C2&gt; C_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00024">24</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac7022caeebffc39337bdfd893db75983"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int M_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00040">40</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a733553beee6dadc63ea8c537055a9e04"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int N_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00041">41</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">mdivide_left_ldlt.hpp</a>.</p>
+
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+<div class="title">mdivide_left_ldlt.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_MDIVIDE_LEFT_LDLT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_MDIVIDE_LEFT_LDLT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_l_d_l_t__alloc_8hpp.html">stan/math/rev/mat/fun/LDLT_alloc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/rev/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keyword">class </span>mdivide_left_ldlt_alloc : <span class="keyword">public</span> chainable_alloc {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        <span class="keyword">virtual</span> ~mdivide_left_ldlt_alloc() {}</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
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+<div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a733553beee6dadc63ea8c537055a9e04">   41</a></span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>;  <span class="comment">// B.cols()</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#aa2a293603982ac5da732ef1c85aabcd4">   42</a></span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#aa2a293603982ac5da732ef1c85aabcd4">_variRefB</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">   43</a></span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">_variRefC</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6333f1364c14f8f834a56541108a543d">   44</a></span>&#160;        mdivide_left_ldlt_alloc&lt;R1, C1, R2, C2&gt; *<a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6333f1364c14f8f834a56541108a543d">_alloc</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6dcfe87b81ca8eb9dc23b285f6858057">   45</a></span>&#160;        <span class="keyword">const</span> LDLT_alloc&lt;R1, C1&gt; *<a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6dcfe87b81ca8eb9dc23b285f6858057">_alloc_ldlt</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        mdivide_left_ldlt_vv_vari(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor&lt;var, R1, C1&gt;</a> &amp;A,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                                  <span class="keyword">const</span> Eigen::Matrix&lt;var, R2, C2&gt; &amp;B)</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;          : vari(0.0),</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            M_(A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>()),</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;            N_(B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()),</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;            _variRefB(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            _variRefC(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            _alloc(new mdivide_left_ldlt_alloc&lt;R1, C1, R2, C2&gt;()),</div>
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+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;          _alloc-&gt;C_.resize(M_, N_);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>; j++) {</div>
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+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;              _variRefB[pos] = B(i, j).vi_;</div>
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+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          pos = 0;</div>
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+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; i++) {</div>
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+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;        mdivide_left_ldlt_vd_vari(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor&lt;var, R1, C1&gt;</a> &amp;A,</div>
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+<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
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+<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>; j++) {</div>
+<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; i++) {</div>
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+<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;            }</div>
+<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;          }</div>
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+<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;</div>
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+<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;          Eigen::Matrix&lt;double, R1, C1&gt; adjA(M_, M_);</div>
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+<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;</div>
+<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;          <span class="keywordtype">int</span> pos = 0;</div>
+<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; adjC.cols(); j++)</div>
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+<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;      Eigen::Matrix&lt;var, R1, C2&gt; res(b.rows(), b.cols());</div>
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+<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;        = <span class="keyword">new</span> mdivide_left_ldlt_dv_vari&lt;R1, C1, R2, C2&gt;(A, b);</div>
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+<div class="ttc" id="_l_d_l_t__alloc_8hpp_html"><div class="ttname"><a href="_l_d_l_t__alloc_8hpp.html">LDLT_alloc.hpp</a></div></div>
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+<div class="ttc" id="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_html_a6333f1364c14f8f834a56541108a543d"><div class="ttname"><a href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6333f1364c14f8f834a56541108a543d">_alloc</a></div><div class="ttdeci">mdivide_left_ldlt_alloc&lt; R1, C1, R2, C2 &gt; * _alloc</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00044">mdivide_left_ldlt.hpp:44</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a63890dd40cd8ad08a55c3b4e8616c741"><div class="ttname"><a href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">stan::math::mdivide_left_ldlt</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T2 &gt;, R1, C2 &gt; mdivide_left_ldlt(const stan::math::LDLT_factor&lt; double, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; fvar&lt; T2 &gt;, R2, C2 &gt; &amp;b)</div><div class="ttdoc">Returns the solution of the system Ax=b given an LDLT_factor of A. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00025">mdivide_left_ldlt.hpp:25</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_html_a6dcfe87b81ca8eb9dc23b285f6858057"><div class="ttname"><a href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html#a6dcfe87b81ca8eb9dc23b285f6858057">_alloc_ldlt</a></div><div class="ttdeci">const LDLT_alloc&lt; R1, C1 &gt; * _alloc_ldlt</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html#l00045">mdivide_left_ldlt.hpp:45</a></div></div>
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+<div class="title">mdivide_left_spd.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a1ba7ed90b8091cf3dee35b9d4688cbc0"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a1ba7ed90b8091cf3dee35b9d4688cbc0"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1ba7ed90b8091cf3dee35b9d4688cbc0">stan::math::mdivide_left_spd</a> (const Eigen::Matrix&lt; var, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; var, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="separator:a1ba7ed90b8091cf3dee35b9d4688cbc0"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae3487ef4bdd1b20d8d5e5f7d5ff57738"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:ae3487ef4bdd1b20d8d5e5f7d5ff57738"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae3487ef4bdd1b20d8d5e5f7d5ff57738">stan::math::mdivide_left_spd</a> (const Eigen::Matrix&lt; var, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; double, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="separator:ae3487ef4bdd1b20d8d5e5f7d5ff57738"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a class="anchor" id="a34c6b6db468ba7b80a549359c6ec304e"></a>
+<div class="memitem">
+<div class="memproto">
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html#l00033">33</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html">mdivide_left_spd.hpp</a>.</p>
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+        </tr>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html#l00021">21</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html">mdivide_left_spd.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html#l00022">22</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html">mdivide_left_spd.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html#l00029">29</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html">mdivide_left_spd.hpp</a>.</p>
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+<div class="title">mdivide_left_spd.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_MDIVIDE_LEFT_SPD_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_MDIVIDE_LEFT_SPD_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
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+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;              _variRefC[pos] = <span class="keyword">new</span> vari(_alloc-&gt;C_(i, j), <span class="keyword">false</span>);</div>
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+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        <span class="keyword">virtual</span> <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;          Eigen::Matrix&lt;double, R2, C2&gt; adjB(M_, N_);</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;          <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; adjB.cols(); j++)</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; adjB.rows(); i++)</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;              adjB(i, j) = _variRefC[pos++]-&gt;adj_;</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;          _alloc-&gt;_llt.solveInPlace(adjB);</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;          pos = 0;</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; adjB.cols(); j++)</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; adjB.rows(); i++)</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;              _variRefB[pos++]-&gt;adj_ += adjB(i, j);</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        }</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;      };</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;      <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;      <span class="keyword">class </span>mdivide_left_spd_vd_vari : <span class="keyword">public</span> vari {</div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>;  <span class="comment">// A.rows() = A.cols() = B.rows()</span></div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>;  <span class="comment">// B.cols()</span></div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#aea7df605462946b48f6c8200fe67a467">_variRefA</a>;</div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">_variRefC</a>;</div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;        mdivide_left_spd_alloc&lt;R1, C1, R2, C2&gt; *<a class="code" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#a34c6b6db468ba7b80a549359c6ec304e">_alloc</a>;</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        mdivide_left_spd_vd_vari(<span class="keyword">const</span> Eigen::Matrix&lt;var, R1, C1&gt; &amp;A,</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;                                 <span class="keyword">const</span> Eigen::Matrix&lt;double, R2, C2&gt; &amp;B)</div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;          : vari(0.0),</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;            M_(A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>()),</div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;            N_(B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()),</div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;            _variRefA(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;                       .alloc(sizeof(vari*) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;            _variRefC(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;            _alloc(new mdivide_left_spd_alloc&lt;R1, C1, R2, C2&gt;()) {</div>
+<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div>
+<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;          Matrix&lt;double, R1, C1&gt; Ad(A.rows(), A.cols());</div>
+<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;</div>
+<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;          <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; j++) {</div>
+<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; i++) {</div>
+<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;              _variRefA[pos] = A(i, j).vi_;</div>
+<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;              Ad(i, j) = A(i, j).val();</div>
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+<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;          _alloc-&gt;_llt = Ad.llt();</div>
+<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;          _alloc-&gt;C_ = _alloc-&gt;_llt.solve(B);</div>
+<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;</div>
+<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;          pos = 0;</div>
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+<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; i++) {</div>
+<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;              _variRefC[pos] = <span class="keyword">new</span> vari(_alloc-&gt;C_(i, j), <span class="keyword">false</span>);</div>
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+<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;          Eigen::Matrix&lt;double, R1, C1&gt; adjA(M_, M_);</div>
+<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;          Eigen::Matrix&lt;double, R1, C2&gt; adjC(M_, N_);</div>
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+<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;          <span class="keywordtype">size_t</span> pos = 0;</div>
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+<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;              adjC(i, j) = _variRefC[pos++]-&gt;adj_;</div>
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+<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;</div>
+<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;          pos = 0;</div>
+<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; adjA.cols(); j++)</div>
+<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; adjA.rows(); i++)</div>
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+<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;        }</div>
+<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;      };</div>
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+<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;</div>
+<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;    Eigen::Matrix&lt;var, R1, C2&gt;</div>
+<div class="line"><a name="l00248"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1ba7ed90b8091cf3dee35b9d4688cbc0">  248</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#af0e78140ced17ce9be79c29b9f23321b">mdivide_left_spd</a>(<span class="keyword">const</span> Eigen::Matrix&lt;var, R1, C1&gt; &amp;A,</div>
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+<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left_spd&quot;</span>,</div>
+<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;                                                <span class="stringliteral">&quot;A&quot;</span>, A,</div>
+<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;                                                <span class="stringliteral">&quot;b&quot;</span>, b);</div>
+<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;</div>
+<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;      <span class="comment">// NOTE: this is not a memory leak, this vari is used in the</span></div>
+<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;      <span class="comment">// expression graph to evaluate the adjoint, but is not needed</span></div>
+<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;      <span class="comment">// for the returned matrix.  Memory will be cleaned up with the</span></div>
+<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;      <span class="comment">// arena allocator.</span></div>
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+<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;mdivide_left_spd&quot;</span>,</div>
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+<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;      <span class="comment">// NOTE: this is not a memory leak, this vari is used in the</span></div>
+<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;      <span class="comment">// expression graph to evaluate the adjoint, but is not needed</span></div>
+<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;      <span class="comment">// for the returned matrix.  Memory will be cleaned up with the</span></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a2622a3a81c3faba8fa3c3dfc5f848b48"><td class="memTemplParams" colspan="2">template&lt;int TriView, int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:a2622a3a81c3faba8fa3c3dfc5f848b48"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, R1, C2 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2622a3a81c3faba8fa3c3dfc5f848b48">stan::math::mdivide_left_tri</a> (const Eigen::Matrix&lt; var, R1, C1 &gt; &amp;A, const Eigen::Matrix&lt; var, R2, C2 &gt; &amp;b)</td></tr>
+<tr class="separator:a2622a3a81c3faba8fa3c3dfc5f848b48"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:aa1f2d1a3336eefc43a12affb5862e663"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a318338a3886f5b653a5e5d284db4ce50"><td class="memTemplParams" colspan="2">template&lt;int TriView, int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a318338a3886f5b653a5e5d284db4ce50"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html#l00025">25</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html">mdivide_left_tri.hpp</a>.</p>
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+          <td class="memname">double* A_</td>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html#l00021">21</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html">mdivide_left_tri.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html#l00019">19</a> of file <a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html">mdivide_left_tri.hpp</a>.</p>
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+<a href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_MDIVIDE_LEFT_TRI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_MDIVIDE_LEFT_TRI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2typedefs_8hpp.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;            A_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                .alloc(sizeof(double) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;            C_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;            _variRefA(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                       .alloc(sizeof(vari*) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * (A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() + 1) / 2))),</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
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+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
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+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            .<span class="keyword">template</span> triangularView&lt;TriView&gt;().solve(C);</div>
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+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
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+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;              <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = j; i &lt; adjA.rows(); i++)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                _variRefA[pos++]-&gt;adj_ += adjA(i, j);</div>
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+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; adjA.cols(); j++)</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;              <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; j+1; i++)</div>
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+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; adjB.rows(); i++)</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;              _variRefB[pos++]-&gt;adj_ += adjB(i, j);</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        }</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      };</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> TriView, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2&gt;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      <span class="keyword">class </span>mdivide_left_tri_dv_vari : <span class="keyword">public</span> vari {</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>;  <span class="comment">// A.rows() = A.cols() = B.rows()</span></div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#a733553beee6dadc63ea8c537055a9e04">N_</a>;  <span class="comment">// B.cols()</span></div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordtype">double</span>* <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">A_</a>;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keywordtype">double</span>* <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#a03e9f8989e0f5a0117b426e2b204933a">C_</a>;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#aa2a293603982ac5da732ef1c85aabcd4">_variRefB</a>;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ab81845acdc3a00d1a9358f95da0d560e">_variRefC</a>;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        mdivide_left_tri_dv_vari(<span class="keyword">const</span> Eigen::Matrix&lt;double, R1, C1&gt; &amp;A,</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                                 <span class="keyword">const</span> Eigen::Matrix&lt;var, R2, C2&gt; &amp;B)</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;          : vari(0.0),</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;            M_(A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>()),</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            N_(B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()),</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;            A_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                .alloc(sizeof(double) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;            C_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;                .alloc(sizeof(double) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;            _variRefB(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;            _variRefC(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))) {</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;          <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; j++) {</div>
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+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            }</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;          }</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;          pos = 0;</div>
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+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;</div>
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+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;            .<span class="keyword">template</span> triangularView&lt;TriView&gt;().solve(C);</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;          pos = 0;</div>
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+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;          Matrix&lt;double, R2, C2&gt; adjB(M_, N_);</div>
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+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; adjC.cols(); j++)</div>
+<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; adjC.rows(); i++)</div>
+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;              adjC(i, j) = _variRefC[pos++]-&gt;adj_;</div>
+<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;</div>
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+<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;</div>
+<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;        mdivide_left_tri_vd_vari(<span class="keyword">const</span> Eigen::Matrix&lt;var, R1, C1&gt; &amp;A,</div>
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+<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;          : vari(0.0),</div>
+<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;            M_(A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>()),</div>
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+<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;            A_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;                .alloc(sizeof(double) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * A.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;            C_(reinterpret_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;               (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;                .alloc(sizeof(double) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))),</div>
+<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;            _variRefA(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;                       .alloc(sizeof(vari*) * A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * (A.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() + 1) / 2))),</div>
+<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;            _variRefC(reinterpret_cast&lt;vari**&gt;</div>
+<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;                      (<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a51e82d34e0b2fc4df4b9edd6ccd048c7">ChainableStack</a>::memalloc_</div>
+<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;                       .alloc(sizeof(vari*) * B.<a class="code" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">rows</a>() * B.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()))) {</div>
+<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;</div>
+<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;          <span class="keywordtype">size_t</span> pos = 0;</div>
+<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;          <span class="keywordflow">if</span> (TriView == Eigen::Lower) {</div>
+<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; j++)</div>
+<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;              <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = j; i &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; i++)</div>
+<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;                _variRefA[pos++] = A(i, j).vi_;</div>
+<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;          } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (TriView == Eigen::Upper) {</div>
+<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>; j++)</div>
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+<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;</div>
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+<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;              A_[pos++] = A(i, j).val();</div>
+<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;            }</div>
+<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;          }</div>
+<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;</div>
+<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;          Matrix&lt;double, R1, C2&gt; C(M_, N_);</div>
+<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;          C = Map&lt;Matrix&lt;double, R1, C1&gt; &gt;(<a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">A_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>)</div>
+<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;            .<span class="keyword">template</span> triangularView&lt;TriView&gt;().solve(B);</div>
+<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;</div>
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+<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;              C_[pos] = C(i, j);</div>
+<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;              _variRefC[pos] = <span class="keyword">new</span> vari(C_[pos], <span class="keyword">false</span>);</div>
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+<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;            }</div>
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+<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;</div>
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+<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;          <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;          <span class="keyword">using</span> Eigen::Map;</div>
+<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;          Matrix&lt;double, R1, C1&gt; adjA(M_, M_);</div>
+<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;          Matrix&lt;double, R1, C2&gt; adjC(M_, N_);</div>
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+<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;          <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> j = 0; j &lt; adjC.cols(); j++)</div>
+<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;            <span class="keywordflow">for</span> (<a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> i = 0; i &lt; adjC.rows(); i++)</div>
+<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;              adjC(i, j) = _variRefC[pos++]-&gt;adj_;</div>
+<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;</div>
+<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;          adjA.noalias() = -Map&lt;Matrix&lt;double, R1, C1&gt; &gt;(<a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#a11b6b3ab6459db606ab7f4bfd4ad2823">A_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>, <a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html#ac7022caeebffc39337bdfd893db75983">M_</a>)</div>
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+<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;      <span class="comment">// expression graph to evaluate the adjoint, but is not needed</span></div>
+<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;      <span class="comment">// for the returned matrix.  Memory will be cleaned up with the</span></div>
+<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;      <span class="comment">// arena allocator.</span></div>
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+<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;      <span class="comment">// expression graph to evaluate the adjoint, but is not needed</span></div>
+<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;      <span class="comment">// for the returned matrix.  Memory will be cleaned up with the</span></div>
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+<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160;      <span class="comment">// expression graph to evaluate the adjoint, but is not needed</span></div>
+<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;      <span class="comment">// for the returned matrix.  Memory will be cleaned up with the</span></div>
+<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;      <span class="comment">// arena allocator.</span></div>
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+<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;</div>
+<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;  }</div>
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+<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">stan/math/rev/mat/fun/Eigen_NumTraits.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
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+<code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
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+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a064999d72ccfe825466a8d35221270c6"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 &gt; </td></tr>
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+<tr class="separator:a064999d72ccfe825466a8d35221270c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a0671954ee3596b7ca59ec1e3bf832c63"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the product of scalar and matrix.  <a href="namespacestan_1_1math.html#a0671954ee3596b7ca59ec1e3bf832c63">More...</a><br /></td></tr>
+<tr class="separator:a0671954ee3596b7ca59ec1e3bf832c63"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6ba7d9d70a0b0c4515d767bcde7d2f66"><td class="memTemplParams" colspan="2">template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </td></tr>
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+<tr class="memdesc:a6ba7d9d70a0b0c4515d767bcde7d2f66"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the product of the specified matrices.  <a href="namespacestan_1_1math.html#a6ba7d9d70a0b0c4515d767bcde7d2f66">More...</a><br /></td></tr>
+<tr class="separator:a6ba7d9d70a0b0c4515d767bcde7d2f66"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aeaecf22fee1b8944975a8124cd294bf0"><td class="memTemplParams" colspan="2">template&lt;typename T1 , int C1, typename T2 , int R2&gt; </td></tr>
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+<tr class="memdesc:aeaecf22fee1b8944975a8124cd294bf0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the scalar product of the specified row vector and specified column vector.  <a href="namespacestan_1_1math.html#aeaecf22fee1b8944975a8124cd294bf0">More...</a><br /></td></tr>
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+<a href="rev_2mat_2fun_2multiply_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_MULTIPLY_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_MULTIPLY_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2dot__product_8hpp.html">stan/math/rev/mat/fun/dot_product.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          <span class="keywordflow">if</span> (j == 0) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;            <span class="keywordflow">if</span> (i == 0) {</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;              result(i, j) = <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> dot_product_vari&lt;T1, T2&gt;(crow, ccol));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;            } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;              dot_product_vari&lt;T1, T2&gt; *v2</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;                = <span class="keyword">static_cast&lt;</span>dot_product_vari&lt;T1, T2&gt;*<span class="keyword">&gt;</span>(result(0, j).vi_);</div>
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+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          } <span class="keywordflow">else</span> {</div>
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+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            } <span class="keywordflow">else</span> <span class="comment">/* if (i != 0 &amp;&amp; j != 0) */</span> {</div>
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+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
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+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    }</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
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+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;}</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2_eigen___num_traits_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2_eigen___num_traits_8hpp.html">Eigen_NumTraits.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a35a69b84ead3c81cbaff702ac429e1cc"><div class="ttname"><a href="namespacestan_1_1math.html#a35a69b84ead3c81cbaff702ac429e1cc">stan::math::multiply</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; multiply(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;m, const fvar&lt; T &gt; &amp;c)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2multiply_8hpp_source.html#l00021">multiply.hpp:21</a></div></div>
+<div class="ttc" id="mat_2fun_2to__var_8hpp_html"><div class="ttname"><a href="mat_2fun_2to__var_8hpp.html">to_var.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a495321127b7e0ebdd4d52654d226e16b"><div class="ttname"><a href="namespacestan_1_1math.html#a495321127b7e0ebdd4d52654d226e16b">stan::math::dot_product</a></div><div class="ttdeci">fvar&lt; T &gt; dot_product(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;v2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2dot__product_8hpp_source.html#l00020">dot_product.hpp:20</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aeebafad688145fc64353e4f455d014bd"><div class="ttname"><a href="namespacestan_1_1math.html#aeebafad688145fc64353e4f455d014bd">stan::math::domain_error</a></div><div class="ttdeci">void domain_error(const char *function, const char *name, const T &amp;y, const char *msg1, const char *msg2)</div><div class="ttdoc">Throw a domain error with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="domain__error_8hpp_source.html#l00032">domain_error.hpp:32</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a82cb5d53612dd12c7038fe711b8dad30"><div class="ttname"><a href="namespacestan_1_1math.html#a82cb5d53612dd12c7038fe711b8dad30">stan::math::to_var</a></div><div class="ttdeci">std::vector&lt; var &gt; to_var(const std::vector&lt; double &gt; &amp;v)</div><div class="ttdoc">Converts argument to an automatic differentiation variable. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2fun_2to__var_8hpp_source.html#l00020">to_var.hpp:20</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <i>&copy; 2011&ndash;2016,
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html">stan/math/rev/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2dot__self_8hpp_source.html">stan/math/rev/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2columns__dot__self_8hpp_source.html">stan/math/rev/mat/fun/columns_dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">Go to the source code of this file.</a></p>
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diff --git a/doc/api/html/rev_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html b/doc/api/html/rev_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html
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+</div><!--header-->
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+<a href="rev_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_MULTIPLY_LOWER_TRI_SELF_TRANSPOSE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_MULTIPLY_LOWER_TRI_SELF_TRANSPOSE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2typedefs_8hpp.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2dot__product_8hpp.html">stan/math/rev/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html">stan/math/rev/mat/fun/dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2columns__dot__self_8hpp.html">stan/math/rev/mat/fun/columns_dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">inline</span> <a class="code" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a></div>
+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6f4d12daa275a9a471974f6447396266">   19</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0d671dcfc6f4c1b4896c5d8bc4568acf">multiply_lower_tri_self_transpose</a>(<span class="keyword">const</span> <a class="code" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">matrix_v</a>&amp; L) {</div>
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+<div class="title">quad_form.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2value__of_8hpp_source.html">stan/math/prim/mat/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2quad__form_8hpp_source.html">stan/math/prim/mat/fun/quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+</div>
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ae29c95a66e3c89b411b47a9613f7d00c"><td class="memTemplParams" colspan="2">template&lt;typename TA , int RA, int CA, typename TB , int RB, int CB&gt; </td></tr>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html#l00115">115</a> of file <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html">quad_form.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html#l00048">48</a> of file <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html">quad_form.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html#l00045">45</a> of file <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html">quad_form.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html#l00046">46</a> of file <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html">quad_form.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html#l00047">47</a> of file <a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html">quad_form.hpp</a>.</p>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_1dcd98e7c4f45b41e0c83c911c6e550e.html">mat</a></li><li class="navelem"><a class="el" href="dir_a8d8e59947adb18b6db2afc7a0c714ad.html">fun</a></li>  </ul>
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+<div class="title">quad_form.hpp</div>  </div>
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+<a href="rev_2mat_2fun_2quad__form_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/utility/enable_if.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2typedefs_8hpp.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2value__of_8hpp.html">stan/math/prim/mat/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2quad__form_8hpp.html">stan/math/prim/mat/fun/quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> TA, <span class="keywordtype">int</span> RA, <span class="keywordtype">int</span> CA, <span class="keyword">typename</span> TB, <span class="keywordtype">int</span> RB, <span class="keywordtype">int</span> CB&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">class </span>quad_form_vari_alloc : <span class="keyword">public</span> chainable_alloc {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">private</span>:</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> compute(<span class="keyword">const</span> Eigen::Matrix&lt;double, RA, CA&gt;&amp; A,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                            <span class="keyword">const</span> Eigen::Matrix&lt;double, RB, CB&gt;&amp; B) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;          Eigen::Matrix&lt;double, CB, CB&gt; Cd(B.transpose()*A*B);</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; <a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a2d9d9bf5df5103a65354498227122b4a">C_</a>.cols(); j++) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;            <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a2d9d9bf5df5103a65354498227122b4a">C_</a>.rows(); i++) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;              <span class="keywordflow">if</span> (<a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a0f0c3a82aa9cb1ecd7d97fce67fea63d">_sym</a>) {</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        quad_form_vari_alloc(<span class="keyword">const</span> Eigen::Matrix&lt;TA, RA, CA&gt;&amp; A,</div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                             <span class="keywordtype">bool</span> symmetric = <span class="keyword">false</span>)</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        : <a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#ad6f8769405cee83dff888bcf5d096810">A_</a>(A), <a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">B_</a>(B), <a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a2d9d9bf5df5103a65354498227122b4a">C_</a>(<a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">B_</a>.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>(), <a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">B_</a>.<a class="code" href="namespacestan_1_1math.html#a0798f82fcc76f547303e77224fa25025">cols</a>()), <a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a0f0c3a82aa9cb1ecd7d97fce67fea63d">_sym</a>(symmetric) {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;          compute(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(A), <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(B));</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2quad__form_8hpp.html#ad6f8769405cee83dff888bcf5d096810">   45</a></span>&#160;        Eigen::Matrix&lt;TA, RA, CA&gt;  <a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#ad6f8769405cee83dff888bcf5d096810">A_</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">   46</a></span>&#160;        Eigen::Matrix&lt;TB, RB, CB&gt;  <a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">B_</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2quad__form_8hpp.html#a2d9d9bf5df5103a65354498227122b4a">   47</a></span>&#160;        Eigen::Matrix&lt;var, CB, CB&gt; <a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a2d9d9bf5df5103a65354498227122b4a">C_</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2quad__form_8hpp.html#a0f0c3a82aa9cb1ecd7d97fce67fea63d">   48</a></span>&#160;        <span class="keywordtype">bool</span>                     <a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a0f0c3a82aa9cb1ecd7d97fce67fea63d">_sym</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      };</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> TA, <span class="keywordtype">int</span> RA, <span class="keywordtype">int</span> CA, <span class="keyword">typename</span> TB, <span class="keywordtype">int</span> RB, <span class="keywordtype">int</span> CB&gt;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">class </span>quad_form_vari : <span class="keyword">public</span> vari {</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> chainA(Eigen::Matrix&lt;double, RA, CA&gt;&amp; A,</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;                           <span class="keyword">const</span> Eigen::Matrix&lt;double, RB, CB&gt;&amp; Bd,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;                           <span class="keyword">const</span> Eigen::Matrix&lt;double, CB, CB&gt;&amp; adjC) {}</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> chainB(Eigen::Matrix&lt;double, RB, CB&gt;&amp; B,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                           <span class="keyword">const</span> Eigen::Matrix&lt;double, RA, CA&gt;&amp; Ad,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                           <span class="keyword">const</span> Eigen::Matrix&lt;double, RB, CB&gt;&amp; Bd,</div>
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+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> chainA(Eigen::Matrix&lt;var, RA, CA&gt;&amp; A,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                           <span class="keyword">const</span> Eigen::Matrix&lt;double, RB, CB&gt;&amp; Bd,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                           <span class="keyword">const</span> Eigen::Matrix&lt;double, CB, CB&gt;&amp; adjC) {</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;          Eigen::Matrix&lt;double, RA, CA&gt;     adjA(Bd*adjC*Bd.transpose());</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; A.cols(); j++) {</div>
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+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                           <span class="keyword">const</span> Eigen::Matrix&lt;double, RB, CB&gt;&amp; Bd,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                           <span class="keyword">const</span> Eigen::Matrix&lt;double, CB, CB&gt;&amp; adjC) {</div>
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+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                                             + Ad.transpose()*Bd*adjC);</div>
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+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;                            Eigen::Matrix&lt;TB, RB, CB&gt;&amp; B,</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                            <span class="keyword">const</span> Eigen::Matrix&lt;double, RA, CA&gt;&amp; Ad,</div>
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+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
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+<div class="title">quad_form_sym.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2value__of_8hpp_source.html">stan/math/prim/mat/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2quad__form_8hpp_source.html">stan/math/prim/mat/fun/quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__symmetric_8hpp_source.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html">stan/math/rev/mat/fun/quad_form.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2quad__form__sym_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0e0e772a20247cedc2da98a9c8946c89"><td class="memTemplParams" colspan="2">template&lt;typename TA , int RA, int CA, typename TB , int RB, int CB&gt; </td></tr>
+<tr class="memitem:a0e0e772a20247cedc2da98a9c8946c89"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; boost::is_same&lt; TA, var &gt;::value||boost::is_same&lt; TB, var &gt;::value, Eigen::Matrix&lt; var, CB, CB &gt; &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0e0e772a20247cedc2da98a9c8946c89">stan::math::quad_form_sym</a> (const Eigen::Matrix&lt; TA, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; TB, RB, CB &gt; &amp;B)</td></tr>
+<tr class="separator:a0e0e772a20247cedc2da98a9c8946c89"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8e79db5761062cc2b5eebe9edca4127e"><td class="memTemplParams" colspan="2">template&lt;typename TA , int RA, int CA, typename TB , int RB&gt; </td></tr>
+<tr class="memitem:a8e79db5761062cc2b5eebe9edca4127e"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; boost::is_same&lt; TA, var &gt;::value||boost::is_same&lt; TB, var &gt;::value, var &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8e79db5761062cc2b5eebe9edca4127e">stan::math::quad_form_sym</a> (const Eigen::Matrix&lt; TA, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; TB, RB, 1 &gt; &amp;B)</td></tr>
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+<div class="title">quad_form_sym.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2quad__form__sym_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_QUAD_FORM_SYM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_QUAD_FORM_SYM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/utility/enable_if.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2typedefs_8hpp.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2value__of_8hpp.html">stan/math/prim/mat/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2quad__form_8hpp.html">stan/math/prim/mat/fun/quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__symmetric_8hpp.html">stan/math/prim/mat/err/check_symmetric.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html">stan/math/rev/mat/fun/quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> TA, <span class="keywordtype">int</span> RA, <span class="keywordtype">int</span> CA, <span class="keyword">typename</span> TB, <span class="keywordtype">int</span> RB, <span class="keywordtype">int</span> CB&gt;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    boost::enable_if_c&lt; boost::is_same&lt;TA, var&gt;::value ||</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    boost::is_same&lt;TB, var&gt;::value,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                        Eigen::Matrix&lt;var, CB, CB&gt; &gt;::type</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0e0e772a20247cedc2da98a9c8946c89">   25</a></span>&#160;      <a class="code" href="namespacestan_1_1math.html#a0e66b8fc7268b26c1f479d762b01f386">quad_form_sym</a>(<span class="keyword">const</span> Eigen::Matrix&lt;TA, RA, CA&gt;&amp; A,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                    <span class="keyword">const</span> Eigen::Matrix&lt;TB, RB, CB&gt;&amp; B) {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;quad_form&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a>(<span class="stringliteral">&quot;quad_form_sym&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;quad_form_sym&quot;</span>,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                                      <span class="stringliteral">&quot;A&quot;</span>, A,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                                      <span class="stringliteral">&quot;B&quot;</span>, B);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      quad_form_vari&lt;TA, RA, CA, TB, RB, CB&gt; *baseVari</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        = <span class="keyword">new</span> quad_form_vari&lt;TA, RA, CA, TB, RB, CB&gt;(A, B, <span class="keyword">true</span>);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keywordflow">return</span> baseVari-&gt;_impl-&gt;C_;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    }</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> TA, <span class="keywordtype">int</span> RA, <span class="keywordtype">int</span> CA, <span class="keyword">typename</span> TB, <span class="keywordtype">int</span> RB&gt;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    boost::enable_if_c&lt; boost::is_same&lt;TA, var&gt;::value ||</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    boost::is_same&lt;TB, var&gt;::value,</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                        var &gt;::type</div>
+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8e79db5761062cc2b5eebe9edca4127e">   43</a></span>&#160;      <a class="code" href="namespacestan_1_1math.html#a0e66b8fc7268b26c1f479d762b01f386">quad_form_sym</a>(<span class="keyword">const</span> Eigen::Matrix&lt;TA, RA, CA&gt;&amp; A,</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;                    <span class="keyword">const</span> Eigen::Matrix&lt;TB, RB, 1&gt;&amp; B) {</div>
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+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ab874d14a9441896a9d9e0172ba555357">stan::math::check_symmetric</a>(<span class="stringliteral">&quot;quad_form_sym&quot;</span>, <span class="stringliteral">&quot;A&quot;</span>, A);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;quad_form_sym&quot;</span>,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                                      <span class="stringliteral">&quot;A&quot;</span>, A,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                                      <span class="stringliteral">&quot;B&quot;</span>, B);</div>
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+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html">stan/math/rev/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2rows__dot__product_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a719a9c5d9d748a503b52d44ed4802193"><td class="memTemplParams" colspan="2">template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2&gt; </td></tr>
+<tr class="memitem:a719a9c5d9d748a503b52d44ed4802193"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; boost::is_same&lt; T1, var &gt;::value||boost::is_same&lt; T2, var &gt;::value, Eigen::Matrix&lt; var, R1, 1 &gt; &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a719a9c5d9d748a503b52d44ed4802193">stan::math::rows_dot_product</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; T2, R2, C2 &gt; &amp;v2)</td></tr>
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+<a href="rev_2mat_2fun_2rows__dot__product_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_ROWS_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_ROWS_DOT_PRODUCT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__vector_8hpp.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__sizes_8hpp.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</span></div>
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+<div class="ttc" id="rev_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
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+<div class="ttc" id="check__vector_8hpp_html"><div class="ttname"><a href="check__vector_8hpp.html">check_vector.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a060626b1758db1e659c0820f77eb7dcf"><div class="ttname"><a href="namespacestan_1_1math.html#a060626b1758db1e659c0820f77eb7dcf">stan::math::rows_dot_product</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R1, 1 &gt; rows_dot_product(const Eigen::Matrix&lt; fvar&lt; T &gt;, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; fvar&lt; T &gt;, R2, C2 &gt; &amp;v2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2rows__dot__product_8hpp_source.html#l00018">rows_dot_product.hpp:18</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mean_8hpp_source.html">stan/math/prim/mat/fun/mean.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2sd_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa6a5f3ceef72929ae7b80e83338d33f3"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa6a5f3ceef72929ae7b80e83338d33f3">stan::math::sd</a> (const std::vector&lt; var &gt; &amp;v)</td></tr>
+<tr class="memdesc:aa6a5f3ceef72929ae7b80e83338d33f3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sample standard deviation of the specified standard vector.  <a href="namespacestan_1_1math.html#aa6a5f3ceef72929ae7b80e83338d33f3">More...</a><br /></td></tr>
+<tr class="separator:aa6a5f3ceef72929ae7b80e83338d33f3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a706c4baf534be70bbaa1cceae41da186"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:a706c4baf534be70bbaa1cceae41da186"><td class="memTemplItemLeft" align="right" valign="top">var&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a706c4baf534be70bbaa1cceae41da186">stan::math::sd</a> (const Eigen::Matrix&lt; var, R, C &gt; &amp;m)</td></tr>
+<tr class="separator:a706c4baf534be70bbaa1cceae41da186"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_1dcd98e7c4f45b41e0c83c911c6e550e.html">mat</a></li><li class="navelem"><a class="el" href="dir_a8d8e59947adb18b6db2afc7a0c714ad.html">fun</a></li>  </ul>
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+<div class="title">sd.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2sd_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_SD_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_SD_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mean_8hpp.html">stan/math/prim/mat/fun/mean.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">namespace </span>{  <span class="comment">// anonymous</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="comment">// if x.size() = N, and x[i] = x[j] =</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="comment">// then lim sd(x) -&gt; 0 [ d/dx[n] sd(x) ] = sqrt(N) / N</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      var calc_sd(<span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>,</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;                  <span class="keyword">const</span> var* dtrs) {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        vari** varis</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;          = <span class="keyword">reinterpret_cast&lt;</span>vari**<span class="keyword">&gt;</span>(<a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                                     .<a class="code" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">alloc</a>(size * <span class="keyword">sizeof</span>(vari*)));</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;          varis[i] = dtrs[i].vi_;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a> = 0.0;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;          sum += dtrs[i].vi_-&gt;val_;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">mean</a> = sum / size;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordtype">double</span> sum_of_squares = 0;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        for (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;          <span class="keywordtype">double</span> diff = dtrs[i].vi_-&gt;val_ - <a class="code" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">mean</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;          sum_of_squares += diff * diff;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        }</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#aa433ac2fc47bbd40a6d87f62574dff85">variance</a> = sum_of_squares / (size - 1);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a34fd02fe795ea38c98f4a02befed309f">sd</a> = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(variance);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <span class="keywordtype">double</span>* partials</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;          = <span class="keyword">reinterpret_cast&lt;</span><span class="keywordtype">double</span>*<span class="keyword">&gt;</span>(<a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                                      .<a class="code" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">alloc</a>(size * <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>)));</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keywordflow">if</span> (sum_of_squares &lt; 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-20) {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;          <span class="keywordtype">double</span> grad_limit = 1 / <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(static_cast&lt;double&gt;(size));</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            partials[i] = grad_limit;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;          <span class="keywordtype">double</span> multiplier = 1 / (sd * (size - 1));</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            partials[i] = multiplier * (dtrs[i].vi_-&gt;val_ - <a class="code" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">mean</a>);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordflow">return</span> var(<span class="keyword">new</span> stored_gradient_vari(sd, size,</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;                                            varis, partials));</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      }</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa6a5f3ceef72929ae7b80e83338d33f3">   65</a></span>&#160;    <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a34fd02fe795ea38c98f4a02befed309f">sd</a>(<span class="keyword">const</span> std::vector&lt;var&gt;&amp; v) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a>(<span class="stringliteral">&quot;sd&quot;</span>, <span class="stringliteral">&quot;v&quot;</span>, v);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">if</span> (v.size() == 1) <span class="keywordflow">return</span> 0;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">return</span> calc_sd(v.size(), &amp;v[0]);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    }</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    <span class="comment">/*</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="comment">     * Return the sample standard deviation of the specified vector,</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="comment">     * row vector, or matrix.  Raise domain error if size is not</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;<span class="comment">     * greater than zero.</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;<span class="comment">     *</span></div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="comment">     * @tparam R number of rows</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="comment">     * @tparam C number of columns</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="comment">     * @param[in] m input matrix</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="comment">     * @return sample standard deviation of specified matrix</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="comment">     */</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a706c4baf534be70bbaa1cceae41da186">   82</a></span>&#160;    <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a34fd02fe795ea38c98f4a02befed309f">sd</a>(<span class="keyword">const</span> Eigen::Matrix&lt;var, R, C&gt;&amp; m) {</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a>(<span class="stringliteral">&quot;sd&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, m);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">if</span> (m.size() == 1) <span class="keywordflow">return</span> 0;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">return</span> calc_sd(m.size(), &amp;m(0));</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    }</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  }</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;}</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a1397a6cac3999e6be0b4c7a92cfa4c3e"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">stan::math::AutodiffStackStorage::memalloc_</a></div><div class="ttdeci">static stack_alloc memalloc_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00016">autodiffstackstorage.hpp:16</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a97c3c23033e47a923ed5ce26a4deeba5"><div class="ttname"><a href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a></div><div class="ttdeci">bool check_nonzero_size(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if the specified matrix/vector is of non-zero size. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonzero__size_8hpp_source.html#l00030">check_nonzero_size.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34fd02fe795ea38c98f4a02befed309f"><div class="ttname"><a href="namespacestan_1_1math.html#a34fd02fe795ea38c98f4a02befed309f">stan::math::sd</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T &gt;::type sd(const std::vector&lt; T &gt; &amp;v)</div><div class="ttdoc">Returns the unbiased sample standard deviation of the coefficients in the specified column vector...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2sd_8hpp_source.html#l00022">sd.hpp:22</a></div></div>
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+<div class="ttc" id="mean_8hpp_html"><div class="ttname"><a href="mean_8hpp.html">mean.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
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+<tr class="memitem:a9fc994b4977baae2d53f2d0a60c77522"><td class="memItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9fc994b4977baae2d53f2d0a60c77522">stan::math::softmax</a> (const Eigen::Matrix&lt; var, Eigen::Dynamic, 1 &gt; &amp;alpha)</td></tr>
+<tr class="memdesc:a9fc994b4977baae2d53f2d0a60c77522"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the softmax of the specified <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> vector.  <a href="namespacestan_1_1math.html#a9fc994b4977baae2d53f2d0a60c77522">More...</a><br /></td></tr>
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+<a class="anchor" id="acd28daa1fad3aaa17c91e2ca90526175"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">vari** alpha_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2softmax_8hpp_source.html#l00016">16</a> of file <a class="el" href="rev_2mat_2fun_2softmax_8hpp_source.html">softmax.hpp</a>.</p>
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+        <tr>
+          <td class="memname">const int idx_</td>
+        </tr>
+      </table>
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+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2softmax_8hpp_source.html#l00019">19</a> of file <a class="el" href="rev_2mat_2fun_2softmax_8hpp_source.html">softmax.hpp</a>.</p>
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+          <td class="memname">const int size_</td>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2softmax_8hpp_source.html#l00018">18</a> of file <a class="el" href="rev_2mat_2fun_2softmax_8hpp_source.html">softmax.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2softmax_8hpp_source.html#l00017">17</a> of file <a class="el" href="rev_2mat_2fun_2softmax_8hpp_source.html">softmax.hpp</a>.</p>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">private</span>:</div>
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+<div class="line"><a name="l00017"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2softmax_8hpp.html#a1e7fc23c4da87820ad49b66444825c34">   17</a></span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span>* <a class="code" href="rev_2mat_2fun_2softmax_8hpp.html#a1e7fc23c4da87820ad49b66444825c34">softmax_alpha_</a>;</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2softmax_8hpp.html#a50218915641ec8f39877c2565e95a604">   18</a></span>&#160;        <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2softmax_8hpp.html#a50218915641ec8f39877c2565e95a604">size_</a>;  <span class="comment">// array sizes</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2softmax_8hpp.html#a48e1ddf96b6a9b19ecead9aca544bb31">   19</a></span>&#160;        <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code" href="rev_2mat_2fun_2softmax_8hpp.html#a48e1ddf96b6a9b19ecead9aca544bb31">idx_</a>;   <span class="comment">// in in softmax output</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        softmax_elt_vari(<span class="keywordtype">double</span> val,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                         vari** alpha,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                         <span class="keyword">const</span> <span class="keywordtype">double</span>* softmax_alpha,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                         <span class="keywordtype">int</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                         <span class="keywordtype">int</span> idx)</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;          : vari(val),</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;            alpha_(alpha),</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;            softmax_alpha_(softmax_alpha),</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;            size_(size),</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;            idx_(idx) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        }</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> m = 0; m &lt; <a class="code" href="rev_2mat_2fun_2softmax_8hpp.html#a50218915641ec8f39877c2565e95a604">size_</a>; ++m) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;            <span class="keywordflow">if</span> (m == idx_) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;              alpha_[m]-&gt;adj_</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                +=  adj_ * softmax_alpha_[<a class="code" href="rev_2mat_2fun_2softmax_8hpp.html#a48e1ddf96b6a9b19ecead9aca544bb31">idx_</a>] * (1 - softmax_alpha_[m]);</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;            } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;              alpha_[m]-&gt;adj_</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                -= adj_ * softmax_alpha_[<a class="code" href="rev_2mat_2fun_2softmax_8hpp.html#a48e1ddf96b6a9b19ecead9aca544bb31">idx_</a>] * softmax_alpha_[m];</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;            }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;          }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      };</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;var, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9fc994b4977baae2d53f2d0a60c77522">   59</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">softmax</a>(<span class="keyword">const</span> Eigen::Matrix&lt;var, Eigen::Dynamic, 1&gt;&amp; alpha) {</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a>(<span class="stringliteral">&quot;softmax&quot;</span>, <span class="stringliteral">&quot;alpha&quot;</span>, alpha);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>** alpha_vi_array</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        = <span class="keyword">reinterpret_cast&lt;</span><a class="code" href="classstan_1_1math_1_1vari.html">vari</a>**<span class="keyword">&gt;</span>(<a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                                   .<a class="code" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">alloc</a>(<span class="keyword">sizeof</span>(<a class="code" href="classstan_1_1math_1_1vari.html">vari</a>*) * alpha.size()));</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; alpha.size(); ++i)</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        alpha_vi_array[i] = alpha(i).vi_;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      Matrix&lt;double, Dynamic, 1&gt; alpha_d(alpha.size());</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; alpha_d.size(); ++i)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        alpha_d(i) = alpha(i).val();</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      Matrix&lt;double, Dynamic, 1&gt; softmax_alpha_d</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        = <a class="code" href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">stan::math::softmax</a>(alpha_d);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordtype">double</span>* softmax_alpha_d_array</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        = <span class="keyword">reinterpret_cast&lt;</span><span class="keywordtype">double</span>*<span class="keyword">&gt;</span>(<a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;                                    .<a class="code" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">alloc</a>(<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>) * alpha_d.size()));</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; alpha_d.size(); ++i)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        softmax_alpha_d_array[i] = softmax_alpha_d(i);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      Matrix&lt;var, Dynamic, 1&gt; softmax_alpha(alpha.size());</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k = 0; k &lt; softmax_alpha.size(); ++k)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        softmax_alpha(k) = <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> softmax_elt_vari(softmax_alpha_d[k],</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                                                    alpha_vi_array,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                                                    softmax_alpha_d_array,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                                                    alpha.size(),</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                                                    k));</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">return</span> softmax_alpha;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  }</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;}</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2mat_2fun_2softmax_8hpp_html_a50218915641ec8f39877c2565e95a604"><div class="ttname"><a href="rev_2mat_2fun_2softmax_8hpp.html#a50218915641ec8f39877c2565e95a604">size_</a></div><div class="ttdeci">const int size_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2softmax_8hpp_source.html#l00018">softmax.hpp:18</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6f57ef7820025c7b350f84c3aebfe45e"><div class="ttname"><a href="namespacestan_1_1math.html#a6f57ef7820025c7b350f84c3aebfe45e">stan::math::softmax</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt; softmax(const Eigen::Matrix&lt; fvar&lt; T &gt;, Eigen::Dynamic, 1 &gt; &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2softmax_8hpp_source.html#l00014">softmax.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a1397a6cac3999e6be0b4c7a92cfa4c3e"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">stan::math::AutodiffStackStorage::memalloc_</a></div><div class="ttdeci">static stack_alloc memalloc_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00016">autodiffstackstorage.hpp:16</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a97c3c23033e47a923ed5ce26a4deeba5"><div class="ttname"><a href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a></div><div class="ttdeci">bool check_nonzero_size(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if the specified matrix/vector is of non-zero size. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonzero__size_8hpp_source.html#l00030">check_nonzero_size.hpp:30</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2softmax_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2softmax_8hpp.html">softmax.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2softmax_8hpp_html_a1e7fc23c4da87820ad49b66444825c34"><div class="ttname"><a href="rev_2mat_2fun_2softmax_8hpp.html#a1e7fc23c4da87820ad49b66444825c34">softmax_alpha_</a></div><div class="ttdeci">const double * softmax_alpha_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2softmax_8hpp_source.html#l00017">softmax.hpp:17</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2softmax_8hpp_html_a48e1ddf96b6a9b19ecead9aca544bb31"><div class="ttname"><a href="rev_2mat_2fun_2softmax_8hpp.html#a48e1ddf96b6a9b19ecead9aca544bb31">idx_</a></div><div class="ttdeci">const int idx_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2softmax_8hpp_source.html#l00019">softmax.hpp:19</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2softmax_8hpp_html_acd28daa1fad3aaa17c91e2ca90526175"><div class="ttname"><a href="rev_2mat_2fun_2softmax_8hpp.html#acd28daa1fad3aaa17c91e2ca90526175">alpha_</a></div><div class="ttdeci">vari ** alpha_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2softmax_8hpp_source.html#l00016">softmax.hpp:16</a></div></div>
+<div class="ttc" id="check__nonzero__size_8hpp_html"><div class="ttname"><a href="check__nonzero__size_8hpp.html">check_nonzero_size.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1stack__alloc_html_af867f7a48394cc0422a58f0253cb6c96"><div class="ttname"><a href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">stan::math::stack_alloc::alloc</a></div><div class="ttdeci">void * alloc(size_t len)</div><div class="ttdoc">Return a newly allocated block of memory of the appropriate size managed by the stack allocator...</div><div class="ttdef"><b>Definition:</b> <a href="stack__alloc_8hpp_source.html#l00166">stack_alloc.hpp:166</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;functional&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2sort__asc_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a8583739553a742829c5e0b39879af0dd"><td class="memItemLeft" align="right" valign="top">std::vector&lt; var &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8583739553a742829c5e0b39879af0dd">stan::math::sort_asc</a> (std::vector&lt; var &gt; xs)</td></tr>
+<tr class="memdesc:a8583739553a742829c5e0b39879af0dd"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified standard vector in ascending order with gradients kept.  <a href="namespacestan_1_1math.html#a8583739553a742829c5e0b39879af0dd">More...</a><br /></td></tr>
+<tr class="separator:a8583739553a742829c5e0b39879af0dd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac0391669326527e057a3f0865703b13d"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:ac0391669326527e057a3f0865703b13d"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac0391669326527e057a3f0865703b13d">stan::math::sort_asc</a> (Eigen::Matrix&lt; var, R, C &gt; xs)</td></tr>
+<tr class="memdesc:ac0391669326527e057a3f0865703b13d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified eigen vector in ascending order with gradients kept.  <a href="namespacestan_1_1math.html#ac0391669326527e057a3f0865703b13d">More...</a><br /></td></tr>
+<tr class="separator:ac0391669326527e057a3f0865703b13d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a941784bb46a4a2fabf3deacebbd71ec5"><div class="ttname"><a href="namespacestan_1_1math.html#a941784bb46a4a2fabf3deacebbd71ec5">stan::math::sort_asc</a></div><div class="ttdeci">std::vector&lt; fvar&lt; T &gt; &gt; sort_asc(std::vector&lt; fvar&lt; T &gt; &gt; xs)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2sort__asc_8hpp_source.html#l00017">sort_asc.hpp:17</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;functional&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2sort__desc_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a8cefcb10a8af1224993d04e812f74e5e"><td class="memItemLeft" align="right" valign="top">std::vector&lt; var &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8cefcb10a8af1224993d04e812f74e5e">stan::math::sort_desc</a> (std::vector&lt; var &gt; xs)</td></tr>
+<tr class="memdesc:a8cefcb10a8af1224993d04e812f74e5e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified standard vector in descending order with gradients kept.  <a href="namespacestan_1_1math.html#a8cefcb10a8af1224993d04e812f74e5e">More...</a><br /></td></tr>
+<tr class="separator:a8cefcb10a8af1224993d04e812f74e5e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5d8d83ef27eeacd30d11964ce32f4186"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:a5d8d83ef27eeacd30d11964ce32f4186"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5d8d83ef27eeacd30d11964ce32f4186">stan::math::sort_desc</a> (Eigen::Matrix&lt; var, R, C &gt; xs)</td></tr>
+<tr class="memdesc:a5d8d83ef27eeacd30d11964ce32f4186"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified eigen vector in descending order with gradients kept.  <a href="namespacestan_1_1math.html#a5d8d83ef27eeacd30d11964ce32f4186">More...</a><br /></td></tr>
+<tr class="separator:a5d8d83ef27eeacd30d11964ce32f4186"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
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diff --git a/doc/api/html/rev_2mat_2fun_2sort__desc_8hpp_source.html b/doc/api/html/rev_2mat_2fun_2sort__desc_8hpp_source.html
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_1dcd98e7c4f45b41e0c83c911c6e550e.html">mat</a></li><li class="navelem"><a class="el" href="dir_a8d8e59947adb18b6db2afc7a0c714ad.html">fun</a></li>  </ul>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7c06412237c5d6879a4c07f0706303e9"><div class="ttname"><a href="namespacestan_1_1math.html#a7c06412237c5d6879a4c07f0706303e9">stan::math::sort_desc</a></div><div class="ttdeci">std::vector&lt; fvar&lt; T &gt; &gt; sort_desc(std::vector&lt; fvar&lt; T &gt; &gt; xs)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2sort__desc_8hpp_source.html#l00017">sort_desc.hpp:17</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2sqrt_8hpp_source.html">stan/math/rev/scal/fun/sqrt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__sizes_8hpp_source.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2index__type_8hpp_source.html">stan/math/prim/arr/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2index__type_8hpp_source.html">stan/math/prim/scal/meta/index_type.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a2d2e9c8de72e19836336f70e6c03341c"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="memitem:a57b6cfbac0ae13e4217fba5ff20ac9e4"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
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+<tr class="separator:a57b6cfbac0ae13e4217fba5ff20ac9e4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa5483c9ea2644a3b127b36f32668bbec"><td class="memTemplParams" colspan="2">template&lt;int R1, int C1, int R2, int C2&gt; </td></tr>
+<tr class="memitem:aa5483c9ea2644a3b127b36f32668bbec"><td class="memTemplItemLeft" align="right" valign="top">var&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa5483c9ea2644a3b127b36f32668bbec">stan::math::squared_distance</a> (const Eigen::Matrix&lt; double, R1, C1 &gt; &amp;v1, const Eigen::Matrix&lt; var, R2, C2 &gt; &amp;v2)</td></tr>
+<tr class="separator:aa5483c9ea2644a3b127b36f32668bbec"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="af0c9b7dcc98dce1d0edf7cb6ce49103b"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t length_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html#l00026">26</a> of file <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html">squared_distance.hpp</a>.</p>
+
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+<a class="anchor" id="a83c5c6dc5ed503252611e6e50af3557a"></a>
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname">vari** v1_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html#l00024">24</a> of file <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html">squared_distance.hpp</a>.</p>
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+<a class="anchor" id="a2157c9243530cdafcfb1665c9e682ed7"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">double* v2_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html#l00025">25</a> of file <a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html">squared_distance.hpp</a>.</p>
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+<div class="title">squared_distance.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2squared__distance_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_SQUARED_DISTANCE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_SQUARED_DISTANCE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2sqrt_8hpp.html">stan/math/rev/scal/fun/sqrt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2typedefs_8hpp.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__vector_8hpp.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__matching__sizes_8hpp.html">stan/math/prim/mat/err/check_matching_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2meta_2index__type_8hpp.html">stan/math/prim/arr/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2index__type_8hpp.html">stan/math/prim/scal/meta/index_type.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2squared__distance_8hpp.html#a2157c9243530cdafcfb1665c9e682ed7">   25</a></span>&#160;        vari** <a class="code" href="rev_2mat_2fun_2squared__distance_8hpp.html#a2157c9243530cdafcfb1665c9e682ed7">v2_</a>;</div>
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+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;          v2_ = <span class="keyword">reinterpret_cast&lt;</span>vari**<span class="keyword">&gt;</span>(<a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a></div>
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+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="rev_2mat_2fun_2squared__distance_8hpp.html#af0c9b7dcc98dce1d0edf7cb6ce49103b">length_</a>; i++)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            v2_[i] = v2(i).vi_;</div>
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+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    }</div>
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+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                                <span class="keyword">const</span> Eigen::Matrix&lt;var, R2, C2&gt;&amp; v2) {</div>
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+<div class="ttc" id="arr_2meta_2index__type_8hpp_html"><div class="ttname"><a href="arr_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
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+<div class="ttc" id="check__matching__sizes_8hpp_html"><div class="ttname"><a href="check__matching__sizes_8hpp.html">check_matching_sizes.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2arr_2fun_2sum_8hpp_source.html">stan/math/rev/arr/fun/sum.hpp</a>&gt;</code><br />
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+<p><a href="rev_2mat_2fun_2sum_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1sum__eigen__v__vari.html">stan::math::sum_eigen_v_vari</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Class for representing sums with constructors for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a>.  <a href="classstan_1_1math_1_1sum__eigen__v__vari.html#details">More...</a><br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a1ec64f77d2621d9f1aada5a8d2e90c2b"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:a1ec64f77d2621d9f1aada5a8d2e90c2b"><td class="memTemplItemLeft" align="right" valign="top">var&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1ec64f77d2621d9f1aada5a8d2e90c2b">stan::math::sum</a> (const Eigen::Matrix&lt; var, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:a1ec64f77d2621d9f1aada5a8d2e90c2b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the sum of the coefficients of the specified matrix, column vector or row vector.  <a href="namespacestan_1_1math.html#a1ec64f77d2621d9f1aada5a8d2e90c2b">More...</a><br /></td></tr>
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+<a href="rev_2mat_2fun_2sum_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_SUM_HPP</span></div>
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+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">stan/math/rev/mat/fun/Eigen_NumTraits.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html">stan/math/rev/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2dot__self_8hpp_source.html">stan/math/rev/mat/fun/dot_self.hpp</a>&gt;</code><br />
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+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memdesc:a03ab719a94e19bfcf26e208ffcf5ff9a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the result of post-multiplying a matrix by its own transpose.  <a href="namespacestan_1_1math.html#a03ab719a94e19bfcf26e208ffcf5ff9a">More...</a><br /></td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_TCROSSPROD_HPP</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html">stan/math/rev/mat/fun/dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2columns__dot__self_8hpp.html">stan/math/rev/mat/fun/columns_dot_self.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
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+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                                                       M.cols()));</div>
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+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      }</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">return</span> MMt;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
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+<div class="ttc" id="rev_2mat_2fun_2_eigen___num_traits_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2_eigen___num_traits_8hpp.html">Eigen_NumTraits.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab379e9a9f74dab16c41d82978cc4b58e"><div class="ttname"><a href="namespacestan_1_1math.html#ab379e9a9f74dab16c41d82978cc4b58e">stan::math::tcrossprod</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, R, R &gt; tcrossprod(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2tcrossprod_8hpp_source.html#l00017">tcrossprod.hpp:17</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2columns__dot__self_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2columns__dot__self_8hpp.html">columns_dot_self.hpp</a></div></div>
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+<div class="ttc" id="rev_2mat_2fun_2dot__self_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2dot__self_8hpp.html">dot_self.hpp</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1stack__alloc_html_af867f7a48394cc0422a58f0253cb6c96"><div class="ttname"><a href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">stan::math::stack_alloc::alloc</a></div><div class="ttdeci">void * alloc(size_t len)</div><div class="ttdoc">Return a newly allocated block of memory of the appropriate size managed by the stack allocator...</div><div class="ttdef"><b>Definition:</b> <a href="stack__alloc_8hpp_source.html#l00166">stack_alloc.hpp:166</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2typedefs_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2typedefs_8hpp.html">typedefs.hpp</a></div></div>
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diff --git a/doc/api/html/rev_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp.html b/doc/api/html/rev_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<div class="title">trace_gen_inv_quad_form_ldlt.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2is__var_8hpp_source.html">stan/math/prim/scal/meta/is_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">stan/math/rev/mat/fun/trace_inv_quad_form_ldlt.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:af2dc9df09e11dc3e66438bb5d9aa457f"><td class="memTemplParams" colspan="2">template&lt;typename T1 , int R1, int C1, typename T2 , int R2, int C2, typename T3 , int R3, int C3&gt; </td></tr>
+<tr class="memitem:af2dc9df09e11dc3e66438bb5d9aa457f"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; <a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt; T1 &gt;::value||<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt; T2 &gt;::value||<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt; T3 &gt;::value, var &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af2dc9df09e11dc3e66438bb5d9aa457f">stan::math::trace_gen_inv_quad_form_ldlt</a> (const Eigen::Matrix&lt; T1, R1, C1 &gt; &amp;D, const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T2, R2, C2 &gt; &amp;A, const Eigen::Matrix&lt; T3, R3, C3 &gt; &amp;B)</td></tr>
+<tr class="memdesc:af2dc9df09e11dc3e66438bb5d9aa457f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the trace of an inverse quadratic form.  <a href="namespacestan_1_1math.html#af2dc9df09e11dc3e66438bb5d9aa457f">More...</a><br /></td></tr>
+<tr class="separator:af2dc9df09e11dc3e66438bb5d9aa457f"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">trace_gen_inv_quad_form_ldlt.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_TRACE_GEN_INV_QUAD_FORM_LDLT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_TRACE_GEN_INV_QUAD_FORM_LDLT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2is__var_8hpp.html">stan/math/prim/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2is__var_8hpp.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;boost/utility/enable_if.hpp&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html">stan/math/rev/mat/fun/trace_inv_quad_form_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keywordtype">int</span> R1, <span class="keywordtype">int</span> C1, <span class="keyword">typename</span> T2, <span class="keywordtype">int</span> R2, <span class="keywordtype">int</span> C2,</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    boost::enable_if_c&lt;stan::is_var&lt;T1&gt;::value ||</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <a class="code" href="structstan_1_1is__var.html">stan::is_var&lt;T2&gt;::value</a> ||</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <a class="code" href="structstan_1_1is__var.html">stan::is_var&lt;T3&gt;::value</a>, var&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#af2dc9df09e11dc3e66438bb5d9aa457f">   27</a></span>&#160;      <a class="code" href="namespacestan_1_1math.html#a03da89fcbd2829c84a5beeb9ccbf2ccf">trace_gen_inv_quad_form_ldlt</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T1, R1, C1&gt; &amp;D,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                                   <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor&lt;T2, R2, C2&gt;</a> &amp;A,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                                   <span class="keyword">const</span> Eigen::Matrix&lt;T3, R3, C3&gt; &amp;B) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>(<span class="stringliteral">&quot;trace_gen_inv_quad_form_ldlt&quot;</span>, <span class="stringliteral">&quot;D&quot;</span>, D);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a>(<span class="stringliteral">&quot;trace_gen_inv_quad_form_ldlt&quot;</span>,</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                                                <span class="stringliteral">&quot;D&quot;</span>, D);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      trace_inv_quad_form_ldlt_impl&lt;T2, R2, C2, T3, R3, C3&gt; *<a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html#a71e132b29586164e054f9efe99b79a06">_impl</a></div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                 (_impl));</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;  }</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;}</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1is__var_html"><div class="ttname"><a href="structstan_1_1is__var.html">stan::is_var</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2is__var_8hpp_source.html#l00007">is_var.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="prim_2scal_2meta_2is__var_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2is__var_8hpp.html">is_var.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_html"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00018">LDLT_factor.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3cfbb4f09fe34b9ece32be051f16ce66"><div class="ttname"><a href="namespacestan_1_1math.html#a3cfbb4f09fe34b9ece32be051f16ce66">stan::math::check_multiplicable</a></div><div class="ttdeci">bool check_multiplicable(const char *function, const char *name1, const T1 &amp;y1, const char *name2, const T2 &amp;y2)</div><div class="ttdoc">Return true if the matrices can be multiplied. </div><div class="ttdef"><b>Definition:</b> <a href="check__multiplicable_8hpp_source.html#l00033">check_multiplicable.hpp:33</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html">trace_inv_quad_form_ldlt.hpp</a></div></div>
+<div class="ttc" id="rev_2scal_2meta_2is__var_8hpp_html"><div class="ttname"><a href="rev_2scal_2meta_2is__var_8hpp.html">is_var.hpp</a></div></div>
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+<div class="ttc" id="rev_2mat_2fun_2quad__form_8hpp_html_a71e132b29586164e054f9efe99b79a06"><div class="ttname"><a href="rev_2mat_2fun_2quad__form_8hpp.html#a71e132b29586164e054f9efe99b79a06">_impl</a></div><div class="ttdeci">quad_form_vari_alloc&lt; TA, RA, CA, TB, RB, CB &gt; * _impl</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2quad__form_8hpp_source.html#l00115">quad_form.hpp:115</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">stan/math/prim/mat/fun/trace_gen_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a2c0d37f9fa5d50999308a19d8e67714e"><td class="memTemplParams" colspan="2">template&lt;typename TD , int RD, int CD, typename TA , int RA, int CA, typename TB , int RB, int CB&gt; </td></tr>
+<tr class="memitem:a2c0d37f9fa5d50999308a19d8e67714e"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; boost::is_same&lt; TD, var &gt;::value||boost::is_same&lt; TA, var &gt;::value||boost::is_same&lt; TB, var &gt;::value, var &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2c0d37f9fa5d50999308a19d8e67714e">stan::math::trace_gen_quad_form</a> (const Eigen::Matrix&lt; TD, RD, CD &gt; &amp;D, const Eigen::Matrix&lt; TA, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; TB, RB, CB &gt; &amp;B)</td></tr>
+<tr class="separator:a2c0d37f9fa5d50999308a19d8e67714e"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a class="anchor" id="a3101c2c46494cfe7908f939310755c0e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">trace_gen_quad_form_vari_alloc&lt;TD, RD, CD, TA, RA, CA, TB, RB, CB&gt;* _impl</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp_source.html#l00104">104</a> of file <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">trace_gen_quad_form.hpp</a>.</p>
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+<div class="memitem">
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+          <td class="memname">Eigen::Matrix&lt;TA, RA, CA&gt; A_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp_source.html#l00038">38</a> of file <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">trace_gen_quad_form.hpp</a>.</p>
+
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">Eigen::Matrix&lt;TB, RB, CB&gt; B_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp_source.html#l00039">39</a> of file <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">trace_gen_quad_form.hpp</a>.</p>
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+          <td class="memname">Eigen::Matrix&lt;TD, RD, CD&gt; D_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp_source.html#l00037">37</a> of file <a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">trace_gen_quad_form.hpp</a>.</p>
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+<a href="rev_2mat_2fun_2trace__gen__quad__form_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_TRACE_GEN_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_TRACE_GEN_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/utility/enable_if.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keyword">class </span>trace_gen_quad_form_vari_alloc : <span class="keyword">public</span> chainable_alloc {</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        trace_gen_quad_form_vari_alloc(<span class="keyword">const</span> Eigen::Matrix&lt;TD, RD, CD&gt;&amp; D,</div>
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+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          : vari(impl-&gt;compute()), <a class="code" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp.html#a3101c2c46494cfe7908f939310755c0e">_impl</a>(impl) { }</div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_l_d_l_t__alloc_8hpp_source.html">stan/math/rev/mat/fun/LDLT_alloc.hpp</a>&gt;</code><br />
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+<code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</code><br />
+</div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a04f24e9594341db1cc4ceaf5a69f039b"><td class="memTemplParams" colspan="2">template&lt;typename T2 , int R2, int C2, typename T3 , int R3, int C3&gt; </td></tr>
+<tr class="memitem:a04f24e9594341db1cc4ceaf5a69f039b"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; <a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt; T2 &gt;::value||<a class="el" href="structstan_1_1is__var.html">stan::is_var</a>&lt; T3 &gt;::value, var &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a04f24e9594341db1cc4ceaf5a69f039b">stan::math::trace_inv_quad_form_ldlt</a> (const <a class="el" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>&lt; T2, R2, C2 &gt; &amp;A, const Eigen::Matrix&lt; T3, R3, C3 &gt; &amp;B)</td></tr>
+<tr class="memdesc:a04f24e9594341db1cc4ceaf5a69f039b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute the trace of an inverse quadratic form.  <a href="namespacestan_1_1math.html#a04f24e9594341db1cc4ceaf5a69f039b">More...</a><br /></td></tr>
+<tr class="separator:a04f24e9594341db1cc4ceaf5a69f039b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aacc32115df9c5f164e15a80a4615d7c0"></a>
+<div class="memitem">
+<div class="memproto">
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html#l00161">161</a> of file <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">trace_inv_quad_form_ldlt.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html#l00082">82</a> of file <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">trace_inv_quad_form_ldlt.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html#l00085">85</a> of file <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">trace_inv_quad_form_ldlt.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html#l00086">86</a> of file <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">trace_inv_quad_form_ldlt.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html#l00083">83</a> of file <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">trace_inv_quad_form_ldlt.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html#l00081">81</a> of file <a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">trace_inv_quad_form_ldlt.hpp</a>.</p>
+
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+<div class="title">trace_inv_quad_form_ldlt.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_TRACE_INV_QUAD_FORM_LDLT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_TRACE_INV_QUAD_FORM_LDLT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_l_d_l_t__alloc_8hpp.html">stan/math/rev/mat/fun/LDLT_alloc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/rev/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#a51e67c28b21506ae447ee657cd885d90">   85</a></span>&#160;        Eigen::Matrix&lt;vari*, R3, C3&gt; <a class="code" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#a51e67c28b21506ae447ee657cd885d90">_variB</a>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#ad754f26cc75952ba2508669360793d30">   86</a></span>&#160;        Eigen::Matrix&lt;double, R3, C3&gt; <a class="code" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#ad754f26cc75952ba2508669360793d30">AinvB_</a>;</div>
+<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#ae7e589df75920eb51a2317e6a38db106">   87</a></span>&#160;        Eigen::Matrix&lt;double, C3, C3&gt; <a class="code" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#ae7e589df75920eb51a2317e6a38db106">C_</a>;</div>
+<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#a3e78e92b9e102f837e1433ff78edd53c">   88</a></span>&#160;        <span class="keywordtype">double</span> <a class="code" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#a3e78e92b9e102f837e1433ff78edd53c">_value</a>;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      };</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
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+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keyword">class </span>trace_inv_quad_form_ldlt_vari : <span class="keyword">public</span> vari {</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">static</span> <span class="keyword">inline</span></div>
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+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        chainA(<span class="keyword">const</span> <span class="keywordtype">double</span> &amp;adj,</div>
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+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        chainB(<span class="keyword">const</span> <span class="keywordtype">double</span> &amp;adj,</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;               trace_inv_quad_form_ldlt_impl&lt;T2, R2, C2, double, R3, C3&gt;</div>
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+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        chainA(<span class="keyword">const</span> <span class="keywordtype">double</span> &amp;adj,</div>
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+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            aB.noalias() = 2*adj*impl-&gt;AinvB_;</div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="_l_d_l_t__alloc_8hpp_html"><div class="ttname"><a href="_l_d_l_t__alloc_8hpp.html">LDLT_alloc.hpp</a></div></div>
+<div class="ttc" id="check__multiplicable_8hpp_html"><div class="ttname"><a href="check__multiplicable_8hpp.html">check_multiplicable.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7001fd7e0296d5dae6ab0a88e1a28547"><div class="ttname"><a href="namespacestan_1_1math.html#a7001fd7e0296d5dae6ab0a88e1a28547">stan::math::trace</a></div><div class="ttdeci">T trace(const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</div><div class="ttdoc">Returns the trace of the specified matrix. </div><div class="ttdef"><b>Definition:</b> <a href="trace_8hpp_source.html#l00020">trace.hpp:20</a></div></div>
+<div class="ttc" id="rev_2scal_2meta_2is__var_8hpp_html"><div class="ttname"><a href="rev_2scal_2meta_2is__var_8hpp.html">is_var.hpp</a></div></div>
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+<div class="ttc" id="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_html_aacc32115df9c5f164e15a80a4615d7c0"><div class="ttname"><a href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html#aacc32115df9c5f164e15a80a4615d7c0">_impl</a></div><div class="ttdeci">trace_inv_quad_form_ldlt_impl&lt; T2, R2, C2, T3, R3, C3 &gt; * _impl</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html#l00161">trace_inv_quad_form_ldlt.hpp:161</a></div></div>
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diff --git a/doc/api/html/rev_2mat_2fun_2trace__quad__form_8hpp.html b/doc/api/html/rev_2mat_2fun_2trace__quad__form_8hpp.html
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+<div class="title">trace_quad_form.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/utility/enable_if.hpp&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2typedefs_8hpp_source.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2value__of_8hpp_source.html">stan/math/prim/mat/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2trace__quad__form_8hpp_source.html">stan/math/prim/mat/fun/trace_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__multiplicable_8hpp_source.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+</div>
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+Functions</h2></td></tr>
+<tr class="memitem:a5c7a80225b1cb62153ba5d47a45870fe"><td class="memTemplParams" colspan="2">template&lt;typename TA , int RA, int CA, typename TB , int RB, int CB&gt; </td></tr>
+<tr class="memitem:a5c7a80225b1cb62153ba5d47a45870fe"><td class="memTemplItemLeft" align="right" valign="top">boost::enable_if_c&lt; boost::is_same&lt; TA, var &gt;::value||boost::is_same&lt; TB, var &gt;::value, var &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5c7a80225b1cb62153ba5d47a45870fe">stan::math::trace_quad_form</a> (const Eigen::Matrix&lt; TA, RA, CA &gt; &amp;A, const Eigen::Matrix&lt; TB, RB, CB &gt; &amp;B)</td></tr>
+<tr class="separator:a5c7a80225b1cb62153ba5d47a45870fe"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="aa215d337b6b5f4499fbafce1d71d924e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">trace_quad_form_vari_alloc&lt;TA, RA, CA, TB, RB, CB&gt;* _impl</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp_source.html#l00089">89</a> of file <a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp_source.html">trace_quad_form.hpp</a>.</p>
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+          <td class="memname">Eigen::Matrix&lt;TA, RA, CA&gt; A_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp_source.html#l00033">33</a> of file <a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp_source.html">trace_quad_form.hpp</a>.</p>
+
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">Eigen::Matrix&lt;TB, RB, CB&gt; B_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp_source.html#l00034">34</a> of file <a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp_source.html">trace_quad_form.hpp</a>.</p>
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+<div class="title">trace_quad_form.hpp</div>  </div>
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+<div class="contents">
+<a href="rev_2mat_2fun_2trace__quad__form_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_TRACE_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_TRACE_QUAD_FORM_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/utility/enable_if.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2typedefs_8hpp.html">stan/math/prim/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2value__of_8hpp.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2value__of_8hpp.html">stan/math/prim/mat/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2typedefs_8hpp.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2trace__quad__form_8hpp.html">stan/math/prim/mat/fun/trace_quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__multiplicable_8hpp.html">stan/math/prim/mat/err/check_multiplicable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> TA, <span class="keywordtype">int</span> RA, <span class="keywordtype">int</span> CA, <span class="keyword">typename</span> TB, <span class="keywordtype">int</span> RB, <span class="keywordtype">int</span> CB&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">class </span>trace_quad_form_vari_alloc : <span class="keyword">public</span> chainable_alloc {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        trace_quad_form_vari_alloc(<span class="keyword">const</span> Eigen::Matrix&lt;TA, RA, CA&gt;&amp; A,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                                   <span class="keyword">const</span> Eigen::Matrix&lt;TB, RB, CB&gt;&amp; B)</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        : <a class="code" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#ad6f8769405cee83dff888bcf5d096810">A_</a>(A), <a class="code" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">B_</a>(B)</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        { }</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        <span class="keywordtype">double</span> compute() {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a3e0c22a58b3d6fe9d4d6e0131ca791a6">stan::math::trace_quad_form</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(<a class="code" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#ad6f8769405cee83dff888bcf5d096810">A_</a>),</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                                             <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(<a class="code" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">B_</a>));</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#ad6f8769405cee83dff888bcf5d096810">   33</a></span>&#160;        Eigen::Matrix&lt;TA, RA, CA&gt;  <a class="code" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#ad6f8769405cee83dff888bcf5d096810">A_</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">   34</a></span>&#160;        Eigen::Matrix&lt;TB, RB, CB&gt;  <a class="code" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#a0fd42d63db84319b9384dce7676a9cc7">B_</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      };</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> TA, <span class="keywordtype">int</span> RA, <span class="keywordtype">int</span> CA, <span class="keyword">typename</span> TB, <span class="keywordtype">int</span> RB, <span class="keywordtype">int</span> CB&gt;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">class </span>trace_quad_form_vari : <span class="keyword">public</span> vari {</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> chainA(Eigen::Matrix&lt;double, RA, CA&gt;&amp; A,</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                                  <span class="keyword">const</span> Eigen::Matrix&lt;double, RB, CB&gt;&amp; Bd,</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                                  <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; adjC) {}</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> chainB(Eigen::Matrix&lt;double, RB, CB&gt;&amp; B,</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;                                  <span class="keyword">const</span> Eigen::Matrix&lt;double, RA, CA&gt;&amp; Ad,</div>
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+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                                  <span class="keyword">const</span> Eigen::Matrix&lt;double, RB, CB&gt;&amp; Bd,</div>
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+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;          Eigen::Matrix&lt;double, RA, CA&gt;     adjA(adjC*Bd*Bd.transpose());</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; A.cols(); j++)</div>
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+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> chainB(Eigen::Matrix&lt;var, RB, CB&gt;&amp; B,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                                  <span class="keyword">const</span> Eigen::Matrix&lt;double, RA, CA&gt;&amp; Ad,</div>
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+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;          Eigen::Matrix&lt;double, RA, CA&gt;     adjB(adjC*(Ad + Ad.transpose())*Bd);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; B.cols(); j++)</div>
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+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        trace_quad_form_vari</div>
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+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          chainAB(<a class="code" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#aa215d337b6b5f4499fbafce1d71d924e">_impl</a>-&gt;A_, <a class="code" href="rev_2mat_2fun_2trace__quad__form_8hpp.html#aa215d337b6b5f4499fbafce1d71d924e">_impl</a>-&gt;B_,</div>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="typedef-members"></a>
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+<tr class="memitem:a5eec679edf26abd1fdf8cf56053caf8e"><td class="memItemLeft" align="right" valign="top">typedef Eigen::Matrix&lt; var, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">stan::math::matrix_v</a></td></tr>
+<tr class="memdesc:a5eec679edf26abd1fdf8cf56053caf8e"><td class="mdescLeft">&#160;</td><td class="mdescRight">The type of a matrix holding <code><a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a></code> values.  <a href="namespacestan_1_1math.html#a5eec679edf26abd1fdf8cf56053caf8e">More...</a><br /></td></tr>
+<tr class="separator:a5eec679edf26abd1fdf8cf56053caf8e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa7d3137027b10bc7758d4c1763b58a8e"><td class="memItemLeft" align="right" valign="top">typedef Eigen::Matrix&lt; var, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa7d3137027b10bc7758d4c1763b58a8e">stan::math::vector_v</a></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="check__vector_8hpp_source.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2dot__self_8hpp_source.html">stan/math/rev/mat/fun/dot_self.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:ad36aabce74e96042ee59caa9189e9a92"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:ad36aabce74e96042ee59caa9189e9a92"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad36aabce74e96042ee59caa9189e9a92">stan::math::unit_vector_constrain</a> (const Eigen::Matrix&lt; var, R, C &gt; &amp;y)</td></tr>
+<tr class="memdesc:ad36aabce74e96042ee59caa9189e9a92"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unit length vector corresponding to the free vector y.  <a href="namespacestan_1_1math.html#ad36aabce74e96042ee59caa9189e9a92">More...</a><br /></td></tr>
+<tr class="separator:ad36aabce74e96042ee59caa9189e9a92"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:aee50515a7b08b2d38f50c96c03b4f42a"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; var, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aee50515a7b08b2d38f50c96c03b4f42a">stan::math::unit_vector_constrain</a> (const Eigen::Matrix&lt; var, R, C &gt; &amp;y, var &amp;lp)</td></tr>
+<tr class="memdesc:aee50515a7b08b2d38f50c96c03b4f42a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unit length vector corresponding to the free vector y.  <a href="namespacestan_1_1math.html#aee50515a7b08b2d38f50c96c03b4f42a">More...</a><br /></td></tr>
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+<h2 class="groupheader">Variable Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+          <td class="memname">const int idx_</td>
+        </tr>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00022">22</a> of file <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html">unit_vector_constrain.hpp</a>.</p>
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+<div class="memitem">
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+          <td class="memname">const double norm_</td>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00023">23</a> of file <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html">unit_vector_constrain.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00021">21</a> of file <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html">unit_vector_constrain.hpp</a>.</p>
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+        </tr>
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+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00020">20</a> of file <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html">unit_vector_constrain.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00019">19</a> of file <a class="el" href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html">unit_vector_constrain.hpp</a>.</p>
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+<div class="title">unit_vector_constrain.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2unit__vector__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_UNIT_VECTOR_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_UNIT_VECTOR_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__self_8hpp.html">stan/math/prim/mat/fun/dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__vector_8hpp.html">stan/math/prim/mat/err/check_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html">stan/math/rev/mat/fun/dot_self.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">class </span>unit_vector_elt_vari : <span class="keyword">public</span> vari {</div>
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+<div class="line"><a name="l00064"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad36aabce74e96042ee59caa9189e9a92">   64</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a3a54fcd529b19a23342fda465553366c">unit_vector_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;var, R, C&gt;&amp; y) {</div>
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+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a>(<span class="stringliteral">&quot;unit_vector&quot;</span>, <span class="stringliteral">&quot;y&quot;</span>, y);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
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+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; y.size(); ++i)</div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mean_8hpp_source.html">stan/math/prim/mat/fun/mean.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonzero__size_8hpp_source.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2fun_2variance_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ac0400489c86a0f208ed17371ab97254f"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac0400489c86a0f208ed17371ab97254f">stan::math::variance</a> (const std::vector&lt; var &gt; &amp;v)</td></tr>
+<tr class="memdesc:ac0400489c86a0f208ed17371ab97254f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sample variance of the specified standard vector.  <a href="namespacestan_1_1math.html#ac0400489c86a0f208ed17371ab97254f">More...</a><br /></td></tr>
+<tr class="separator:ac0400489c86a0f208ed17371ab97254f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4c5dc6176d49564ace17029793589421"><td class="memTemplParams" colspan="2">template&lt;int R, int C&gt; </td></tr>
+<tr class="memitem:a4c5dc6176d49564ace17029793589421"><td class="memTemplItemLeft" align="right" valign="top">var&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4c5dc6176d49564ace17029793589421">stan::math::variance</a> (const Eigen::Matrix&lt; var, R, C &gt; &amp;m)</td></tr>
+<tr class="separator:a4c5dc6176d49564ace17029793589421"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">variance.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2mat_2fun_2variance_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUN_VARIANCE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUN_VARIANCE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mean_8hpp.html">stan/math/prim/mat/fun/mean.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonzero__size_8hpp.html">stan/math/prim/arr/err/check_nonzero_size.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">namespace </span>{  <span class="comment">// anonymous</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      var calc_variance(<span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>,</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;                        <span class="keyword">const</span> var* dtrs) {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        vari** varis = <span class="keyword">reinterpret_cast&lt;</span>vari**<span class="keyword">&gt;</span>(<a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                                                .<a class="code" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">alloc</a>(size * <span class="keyword">sizeof</span>(vari*)));</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;          varis[i] = dtrs[i].vi_;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">sum</a> = 0.0;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;          sum += dtrs[i].vi_-&gt;val_;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">mean</a> = sum / size;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        <span class="keywordtype">double</span> sum_of_squares = 0;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        for (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;          <span class="keywordtype">double</span> diff = dtrs[i].vi_-&gt;val_ - <a class="code" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">mean</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;          sum_of_squares += diff * diff;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#aa433ac2fc47bbd40a6d87f62574dff85">variance</a> = sum_of_squares / (size - 1);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordtype">double</span>* partials</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;          = <span class="keyword">reinterpret_cast&lt;</span><span class="keywordtype">double</span>*<span class="keyword">&gt;</span>(<a class="code" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">ChainableStack::memalloc_</a></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                                      .<a class="code" href="classstan_1_1math_1_1stack__alloc.html#af867f7a48394cc0422a58f0253cb6c96">alloc</a>(size * <span class="keyword">sizeof</span>(<span class="keywordtype">double</span>)));</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="keywordtype">double</span> two_over_size_m1 = 2 / (size - 1);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>; ++i)</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;          partials[i] = two_over_size_m1 * (dtrs[i].vi_-&gt;val_ - <a class="code" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">mean</a>);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keywordflow">return</span> var(<span class="keyword">new</span> stored_gradient_vari(variance, size,</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;                                            varis, partials));</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    }</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac0400489c86a0f208ed17371ab97254f">   52</a></span>&#160;    <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#aa433ac2fc47bbd40a6d87f62574dff85">variance</a>(<span class="keyword">const</span> std::vector&lt;var&gt;&amp; v) {</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a>(<span class="stringliteral">&quot;variance&quot;</span>, <span class="stringliteral">&quot;v&quot;</span>, v);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordflow">if</span> (v.size() == 1) <span class="keywordflow">return</span> 0;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordflow">return</span> calc_variance(v.size(), &amp;v[0]);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    <span class="comment">/*</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;<span class="comment">     * Return the sample variance of the specified vector, row vector,</span></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="comment">     * or matrix.  Raise domain error if size is not greater than</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;<span class="comment">     * zero.</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="comment">     *</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="comment">     * @tparam R number of rows</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="comment">     * @tparam C number of columns</span></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;<span class="comment">     * @param[in] m input matrix</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="comment">     * @return sample variance of specified matrix</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;<span class="comment">     */</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a4c5dc6176d49564ace17029793589421">   69</a></span>&#160;    <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#aa433ac2fc47bbd40a6d87f62574dff85">variance</a>(<span class="keyword">const</span> Eigen::Matrix&lt;var, R, C&gt;&amp; m) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a>(<span class="stringliteral">&quot;variance&quot;</span>, <span class="stringliteral">&quot;m&quot;</span>, m);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">if</span> (m.size() == 1) <span class="keywordflow">return</span> 0;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">return</span> calc_variance(m.size(), &amp;m(0));</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    }</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;  }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;}</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e5dda5a9c244efdbd023cc01d47cbf4"><div class="ttname"><a href="namespacestan_1_1math.html#a5e5dda5a9c244efdbd023cc01d47cbf4">stan::math::sum</a></div><div class="ttdeci">fvar&lt; T &gt; sum(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;m)</div><div class="ttdoc">Return the sum of the entries of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2sum_8hpp_source.html#l00020">sum.hpp:20</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a1397a6cac3999e6be0b4c7a92cfa4c3e"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a1397a6cac3999e6be0b4c7a92cfa4c3e">stan::math::AutodiffStackStorage::memalloc_</a></div><div class="ttdeci">static stack_alloc memalloc_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00016">autodiffstackstorage.hpp:16</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a97c3c23033e47a923ed5ce26a4deeba5"><div class="ttname"><a href="namespacestan_1_1math.html#a97c3c23033e47a923ed5ce26a4deeba5">stan::math::check_nonzero_size</a></div><div class="ttdeci">bool check_nonzero_size(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if the specified matrix/vector is of non-zero size. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonzero__size_8hpp_source.html#l00030">check_nonzero_size.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa433ac2fc47bbd40a6d87f62574dff85"><div class="ttname"><a href="namespacestan_1_1math.html#aa433ac2fc47bbd40a6d87f62574dff85">stan::math::variance</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T &gt;::type variance(const std::vector&lt; T &gt; &amp;v)</div><div class="ttdoc">Returns the sample variance (divide by length - 1) of the coefficients in the specified standard vect...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2variance_8hpp_source.html#l00024">variance.hpp:24</a></div></div>
+<div class="ttc" id="mean_8hpp_html"><div class="ttname"><a href="mean_8hpp.html">mean.hpp</a></div></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="ttc" id="check__nonzero__size_8hpp_html"><div class="ttname"><a href="check__nonzero__size_8hpp.html">check_nonzero_size.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
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+<tr class="memitem:a4666717786c59b911d557d8865a41d74"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4666717786c59b911d557d8865a41d74">stan::math::gradient</a> (const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, double &amp;fx, Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;grad_fx)</td></tr>
+<tr class="memdesc:a4666717786c59b911d557d8865a41d74"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the value and the gradient of the specified function at the specified argument.  <a href="namespacestan_1_1math.html#a4666717786c59b911d557d8865a41d74">More...</a><br /></td></tr>
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+<a href="rev_2mat_2functor_2gradient_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUNCTOR_GRADIENT_HPP</span></div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="rev_2mat_2functor_2jacobian_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a9ceeaed84c0c91fea1c362395f4e464c"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9ceeaed84c0c91fea1c362395f4e464c">stan::math::jacobian</a> (const F &amp;f, const Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;x, Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt; &amp;fx, Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;J)</td></tr>
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+<a href="rev_2mat_2functor_2jacobian_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_FUNCTOR_JACOBIAN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_FUNCTOR_JACOBIAN_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keywordtype">void</span></div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        Matrix&lt;var, Dynamic, 1&gt; fx_var = f(x_var);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        fx.resize(fx_var.size());</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">stan/math/prim/mat/vectorize/apply_scalar_unary.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="var_8hpp_source.html">stan/math/rev/core/var.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">Go to the source code of this file.</a></p>
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+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template specialization to var for vectorizing a unary scalar function.  <a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#details">More...</a><br /></td></tr>
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+<a href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_VECTORIZE_APPLY_UNARY_SCALAR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_VECTORIZE_APPLY_UNARY_SCALAR_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp.html">stan/math/prim/mat/vectorize/apply_scalar_unary.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="var_8hpp.html">stan/math/rev/core/var.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> F&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html">   20</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1apply__scalar__unary.html">apply_scalar_unary</a>&lt;F, <a class="code" href="namespacestan.html">stan</a>::<a class="code" href="classstan_1_1math_1_1var.html">math::var</a>&gt; {</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#a370c4c6e3b16789d8fd9ab98f98af3e7">   24</a></span>&#160;      <span class="keyword">typedef</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a> <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#a370c4c6e3b16789d8fd9ab98f98af3e7">return_t</a>;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#acb742be7fe78126247c92a57175e738e">   32</a></span>&#160;      <span class="keyword">static</span> <span class="keyword">inline</span> return_t <a class="code" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#acb742be7fe78126247c92a57175e738e">apply</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>&amp; x) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        <span class="keywordflow">return</span> F::fun(x);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      }</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    };</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;  }</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;}</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4_html_a370c4c6e3b16789d8fd9ab98f98af3e7"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#a370c4c6e3b16789d8fd9ab98f98af3e7">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;::return_t</a></div><div class="ttdeci">stan::math::var return_t</div><div class="ttdoc">Function return type, which is var. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00024">apply_scalar_unary.hpp:24</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4_html_acb742be7fe78126247c92a57175e738e"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#acb742be7fe78126247c92a57175e738e">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;::apply</a></div><div class="ttdeci">static return_t apply(const stan::math::var &amp;x)</div><div class="ttdoc">Apply the function specified by F to the specified argument. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00032">apply_scalar_unary.hpp:32</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1apply__scalar__unary_html"><div class="ttname"><a href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a></div><div class="ttdoc">Base template class for vectorization of unary scalar functions defined by a template class F to a sc...</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00036">apply_scalar_unary.hpp:36</a></div></div>
+<div class="ttc" id="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_html"><div class="ttname"><a href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp.html">apply_scalar_unary.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+  <span style="float:left; margin=0 1em 0 1em;">
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">mat.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2partials__type_8hpp_source.html">stan/math/rev/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_8hpp_source.html">stan/math/prim/mat.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2arr_8hpp_source.html">stan/math/rev/arr.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2cholesky__decompose_8hpp_source.html">stan/math/rev/mat/fun/cholesky_decompose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2columns__dot__product_8hpp_source.html">stan/math/rev/mat/fun/columns_dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2columns__dot__self_8hpp_source.html">stan/math/rev/mat/fun/columns_dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2crossprod_8hpp_source.html">stan/math/rev/mat/fun/crossprod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2determinant_8hpp_source.html">stan/math/rev/mat/fun/determinant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2divide_8hpp_source.html">stan/math/rev/mat/fun/divide.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2dot__product_8hpp_source.html">stan/math/rev/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2dot__self_8hpp_source.html">stan/math/rev/mat/fun/dot_self.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">stan/math/rev/mat/fun/Eigen_NumTraits.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2grad_8hpp_source.html">stan/math/rev/mat/fun/grad.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="initialize__variable_8hpp_source.html">stan/math/rev/mat/fun/initialize_variable.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_l_d_l_t__alloc_8hpp_source.html">stan/math/rev/mat/fun/LDLT_alloc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html">stan/math/rev/mat/fun/LDLT_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2log__determinant_8hpp_source.html">stan/math/rev/mat/fun/log_determinant.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">stan/math/rev/mat/fun/log_determinant_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2log__determinant__spd_8hpp_source.html">stan/math/rev/mat/fun/log_determinant_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2log__softmax_8hpp_source.html">stan/math/rev/mat/fun/log_softmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2log__sum__exp_8hpp_source.html">stan/math/rev/mat/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2mdivide__left_8hpp_source.html">stan/math/rev/mat/fun/mdivide_left.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">stan/math/rev/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2mdivide__left__spd_8hpp_source.html">stan/math/rev/mat/fun/mdivide_left_spd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2mdivide__left__tri_8hpp_source.html">stan/math/rev/mat/fun/mdivide_left_tri.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2multiply_8hpp_source.html">stan/math/rev/mat/fun/multiply.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">stan/math/rev/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2quad__form_8hpp_source.html">stan/math/rev/mat/fun/quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2quad__form__sym_8hpp_source.html">stan/math/rev/mat/fun/quad_form_sym.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2rows__dot__product_8hpp_source.html">stan/math/rev/mat/fun/rows_dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2sd_8hpp_source.html">stan/math/rev/mat/fun/sd.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2softmax_8hpp_source.html">stan/math/rev/mat/fun/softmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2sort__asc_8hpp_source.html">stan/math/rev/mat/fun/sort_asc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2sort__desc_8hpp_source.html">stan/math/rev/mat/fun/sort_desc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2squared__distance_8hpp_source.html">stan/math/rev/mat/fun/squared_distance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2stan__print_8hpp_source.html">stan/math/rev/mat/fun/stan_print.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2sum_8hpp_source.html">stan/math/rev/mat/fun/sum.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2tcrossprod_8hpp_source.html">stan/math/rev/mat/fun/tcrossprod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2fun_2to__var_8hpp_source.html">stan/math/rev/mat/fun/to_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp_source.html">stan/math/rev/mat/fun/trace_gen_inv_quad_form_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp_source.html">stan/math/rev/mat/fun/trace_gen_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp_source.html">stan/math/rev/mat/fun/trace_inv_quad_form_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2trace__quad__form_8hpp_source.html">stan/math/rev/mat/fun/trace_quad_form.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2typedefs_8hpp_source.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2fun_2variance_8hpp_source.html">stan/math/rev/mat/fun/variance.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2functor_2gradient_8hpp_source.html">stan/math/rev/mat/functor/gradient.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2mat_2functor_2jacobian_8hpp_source.html">stan/math/rev/mat/functor/jacobian.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="ode__system_8hpp_source.html">stan/math/rev/mat/functor/ode_system.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cvodes__utils_8hpp_source.html">stan/math/rev/mat/functor/cvodes_utils.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="cvodes__ode__data_8hpp_source.html">stan/math/rev/mat/functor/cvodes_ode_data.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="integrate__ode__bdf_8hpp_source.html">stan/math/rev/mat/functor/integrate_ode_bdf.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2mat_8hpp_source.html">Go to the source code of this file.</a></p>
+</div><!-- contents -->
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diff --git a/doc/api/html/rev_2mat_8hpp_source.html b/doc/api/html/rev_2mat_8hpp_source.html
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+<a href="rev_2mat_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_MAT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_MAT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2is__var_8hpp.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2partials__type_8hpp.html">stan/math/rev/scal/meta/partials_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_8hpp.html">stan/math/prim/mat.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2arr_8hpp.html">stan/math/rev/arr.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2cholesky__decompose_8hpp.html">stan/math/rev/mat/fun/cholesky_decompose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2columns__dot__product_8hpp.html">stan/math/rev/mat/fun/columns_dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2columns__dot__self_8hpp.html">stan/math/rev/mat/fun/columns_dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2crossprod_8hpp.html">stan/math/rev/mat/fun/crossprod.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2determinant_8hpp.html">stan/math/rev/mat/fun/determinant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2divide_8hpp.html">stan/math/rev/mat/fun/divide.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2dot__product_8hpp.html">stan/math/rev/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2dot__self_8hpp.html">stan/math/rev/mat/fun/dot_self.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2_eigen___num_traits_8hpp.html">stan/math/rev/mat/fun/Eigen_NumTraits.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2fun_2grad_8hpp.html">stan/math/rev/mat/fun/grad.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="initialize__variable_8hpp.html">stan/math/rev/mat/fun/initialize_variable.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_l_d_l_t__alloc_8hpp.html">stan/math/rev/mat/fun/LDLT_alloc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2_l_d_l_t__factor_8hpp.html">stan/math/rev/mat/fun/LDLT_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2log__determinant_8hpp.html">stan/math/rev/mat/fun/log_determinant.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2log__determinant__ldlt_8hpp.html">stan/math/rev/mat/fun/log_determinant_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2log__determinant__spd_8hpp.html">stan/math/rev/mat/fun/log_determinant_spd.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2log__softmax_8hpp.html">stan/math/rev/mat/fun/log_softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2log__sum__exp_8hpp.html">stan/math/rev/mat/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2mdivide__left_8hpp.html">stan/math/rev/mat/fun/mdivide_left.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2mdivide__left__ldlt_8hpp.html">stan/math/rev/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html">stan/math/rev/mat/fun/mdivide_left_spd.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2mdivide__left__tri_8hpp.html">stan/math/rev/mat/fun/mdivide_left_tri.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2multiply_8hpp.html">stan/math/rev/mat/fun/multiply.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">stan/math/rev/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2quad__form_8hpp.html">stan/math/rev/mat/fun/quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2quad__form__sym_8hpp.html">stan/math/rev/mat/fun/quad_form_sym.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2rows__dot__product_8hpp.html">stan/math/rev/mat/fun/rows_dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2sd_8hpp.html">stan/math/rev/mat/fun/sd.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2softmax_8hpp.html">stan/math/rev/mat/fun/softmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2sort__asc_8hpp.html">stan/math/rev/mat/fun/sort_asc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2sort__desc_8hpp.html">stan/math/rev/mat/fun/sort_desc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2squared__distance_8hpp.html">stan/math/rev/mat/fun/squared_distance.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2stan__print_8hpp.html">stan/math/rev/mat/fun/stan_print.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2sum_8hpp.html">stan/math/rev/mat/fun/sum.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2tcrossprod_8hpp.html">stan/math/rev/mat/fun/tcrossprod.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2fun_2to__var_8hpp.html">stan/math/rev/mat/fun/to_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2trace__gen__inv__quad__form__ldlt_8hpp.html">stan/math/rev/mat/fun/trace_gen_inv_quad_form_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2trace__gen__quad__form_8hpp.html">stan/math/rev/mat/fun/trace_gen_quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2trace__inv__quad__form__ldlt_8hpp.html">stan/math/rev/mat/fun/trace_inv_quad_form_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2trace__quad__form_8hpp.html">stan/math/rev/mat/fun/trace_quad_form.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2typedefs_8hpp.html">stan/math/rev/mat/fun/typedefs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2fun_2variance_8hpp.html">stan/math/rev/mat/fun/variance.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2functor_2gradient_8hpp.html">stan/math/rev/mat/functor/gradient.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2mat_2functor_2jacobian_8hpp.html">stan/math/rev/mat/functor/jacobian.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="ode__system_8hpp.html">stan/math/rev/mat/functor/ode_system.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cvodes__utils_8hpp.html">stan/math/rev/mat/functor/cvodes_utils.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="cvodes__ode__data_8hpp.html">stan/math/rev/mat/functor/cvodes_ode_data.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="integrate__ode__bdf_8hpp.html">stan/math/rev/mat/functor/integrate_ode_bdf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2mat_2functor_2jacobian_8hpp_html"><div class="ttname"><a href="rev_2mat_2functor_2jacobian_8hpp.html">jacobian.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2mdivide__left__spd_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2mdivide__left__spd_8hpp.html">mdivide_left_spd.hpp</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="_l_d_l_t__alloc_8hpp_html"><div class="ttname"><a href="_l_d_l_t__alloc_8hpp.html">LDLT_alloc.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2_eigen___num_traits_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2_eigen___num_traits_8hpp.html">Eigen_NumTraits.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2cholesky__decompose_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2cholesky__decompose_8hpp.html">cholesky_decompose.hpp</a></div></div>
+<div class="ttc" id="integrate__ode__bdf_8hpp_html"><div class="ttname"><a href="integrate__ode__bdf_8hpp.html">integrate_ode_bdf.hpp</a></div></div>
+<div class="ttc" id="ode__system_8hpp_html"><div class="ttname"><a href="ode__system_8hpp.html">ode_system.hpp</a></div></div>
+<div class="ttc" id="initialize__variable_8hpp_html"><div class="ttname"><a href="initialize__variable_8hpp.html">initialize_variable.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2sd_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2sd_8hpp.html">sd.hpp</a></div></div>
+<div class="ttc" id="mat_2fun_2to__var_8hpp_html"><div class="ttname"><a href="mat_2fun_2to__var_8hpp.html">to_var.hpp</a></div></div>
+<div class="ttc" id="mat_2fun_2grad_8hpp_html"><div class="ttname"><a href="mat_2fun_2grad_8hpp.html">grad.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2log__softmax_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2log__softmax_8hpp.html">log_softmax.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2squared__distance_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2squared__distance_8hpp.html">squared_distance.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2sort__desc_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2sort__desc_8hpp.html">sort_desc.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2columns__dot__self_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2columns__dot__self_8hpp.html">columns_dot_self.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2divide_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2divide_8hpp.html">divide.hpp</a></div></div>
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+<div class="ttc" id="rev_2mat_2fun_2trace__gen__quad__form_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2trace__gen__quad__form_8hpp.html">trace_gen_quad_form.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2functor_2gradient_8hpp_html"><div class="ttname"><a href="rev_2mat_2functor_2gradient_8hpp.html">gradient.hpp</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2log__determinant__spd_8hpp_html"><div class="ttname"><a href="rev_2mat_2fun_2log__determinant__spd_8hpp.html">log_determinant_spd.hpp</a></div></div>
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+<a href="rev_2scal_2fun_2_phi_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_PHI_HPP</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2_phi_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2_phi_8hpp.html">Phi.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+</div>
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+<tr class="memdesc:afa0a2a4530d320ca7945a09ae88783f3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Approximation of the unit normal CDF for variables (stan).  <a href="namespacestan_1_1math.html#afa0a2a4530d320ca7945a09ae88783f3">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2_phi__approx_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_PHI_APPROX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_PHI_APPROX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afa0a2a4530d320ca7945a09ae88783f3">   47</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a6cf4bf2074175fd7bcde43f9f94e4d16">Phi_approx</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>&amp; a) {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="comment">// return inv_logit(0.07056 * pow(a, 3.0) + 1.5976 * a);</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordtype">double</span> av = a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">val_</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordtype">double</span> av_squared = av * av;</div>
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+<p><a href="rev_2scal_2fun_2abs_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:a971adca9c3989255ca1f9568f8e7dc93"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the absolute value of the variable (std).  <a href="namespacestan_1_1math.html#a971adca9c3989255ca1f9568f8e7dc93">More...</a><br /></td></tr>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
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+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
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+<tr class="memdesc:a5b472e155399f39ba2d7e26abb50cd7b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the principal value of the arc cosine of a variable, in radians (cmath).  <a href="namespacestan_1_1math.html#a5b472e155399f39ba2d7e26abb50cd7b">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a6952d8c23d69dc891dbe78e7d4ea7a80"><div class="ttname"><a href="namespacestan_1_1math.html#a6952d8c23d69dc891dbe78e7d4ea7a80">stan::math::acos</a></div><div class="ttdeci">fvar&lt; T &gt; acos(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2acos_8hpp_source.html#l00014">acos.hpp:14</a></div></div>
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+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:a9a8d20387e255363750b779b213d734f"><td class="mdescLeft">&#160;</td><td class="mdescRight">The inverse hyperbolic cosine function for variables (C99).  <a href="namespacestan_1_1math.html#a9a8d20387e255363750b779b213d734f">More...</a><br /></td></tr>
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+<div class="title">acosh.hpp</div>  </div>
+</div><!--header-->
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+<a href="rev_2scal_2fun_2acosh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_ACOSH_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_ACOSH_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      };</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    }</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9a8d20387e255363750b779b213d734f">   68</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#ae033720f1a26c44aa9d7fb4dcf547155">acosh</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a) {</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a9a8d20387e255363750b779b213d734f"><div class="ttname"><a href="namespacestan_1_1math.html#a9a8d20387e255363750b779b213d734f">stan::math::acosh</a></div><div class="ttdeci">var acosh(const var &amp;a)</div><div class="ttdoc">The inverse hyperbolic cosine function for variables (C99). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2acosh_8hpp_source.html#l00068">acosh.hpp:68</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a3ec93b560b654740be65de81d6f348cc"><div class="ttname"><a href="namespacestan_1_1math.html#a3ec93b560b654740be65de81d6f348cc">stan::math::as_bool</a></div><div class="ttdeci">bool as_bool(const T x)</div><div class="ttdoc">Return 1 if the argument is unequal to zero and 0 otherwise. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2fun_2as__bool_8hpp_source.html#l00014">as_bool.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<tr class="memdesc:ab710bf940838cc452c426597f55f74dc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the principal value of the arc sine, in radians, of the specified variable (cmath).  <a href="namespacestan_1_1math.html#ab710bf940838cc452c426597f55f74dc">More...</a><br /></td></tr>
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+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:af6d7b01cd76067a0fa8d424b4e81a4fc"><td class="mdescLeft">&#160;</td><td class="mdescRight">The inverse hyperbolic sine function for variables (C99).  <a href="namespacestan_1_1math.html#af6d7b01cd76067a0fa8d424b4e81a4fc">More...</a><br /></td></tr>
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+<div class="title">asinh.hpp</div>  </div>
+</div><!--header-->
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+<a href="rev_2scal_2fun_2asinh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_ASINH_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_ASINH_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifdef _MSC_VER</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/asinh.hpp&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af6d7b01cd76067a0fa8d424b4e81a4fc">boost::math::asinh</a>;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">class </span>asinh_vari : <span class="keyword">public</span> op_v_vari {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        asinh_vari(<span class="keywordtype">double</span> val, vari* avi) :</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;          op_v_vari(val, avi) {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        }</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        }</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      };</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    }</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
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+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a>(a.<a class="code" href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">val</a>()))</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> asinh_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">val</a>(), a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> asinh_vari(::<a class="code" href="namespacestan_1_1math.html#a68af8aec6bd04b4d40e5bce59f82b97c">asinh</a>(a.<a class="code" href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">val</a>()), a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;  }</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;}</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a3d7d6e376e25db9cff72f82ca4c3e684"><div class="ttname"><a href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a></div><div class="ttdeci">bool isinf(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is infinite. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isinf_8hpp_source.html#l00022">boost_isinf.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a68af8aec6bd04b4d40e5bce59f82b97c"><div class="ttname"><a href="namespacestan_1_1math.html#a68af8aec6bd04b4d40e5bce59f82b97c">stan::math::asinh</a></div><div class="ttdeci">fvar&lt; T &gt; asinh(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2asinh_8hpp_source.html#l00013">asinh.hpp:13</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af6d7b01cd76067a0fa8d424b4e81a4fc"><div class="ttname"><a href="namespacestan_1_1math.html#af6d7b01cd76067a0fa8d424b4e81a4fc">stan::math::asinh</a></div><div class="ttdeci">var asinh(const var &amp;a)</div><div class="ttdoc">The inverse hyperbolic sine function for variables (C99). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2asinh_8hpp_source.html#l00067">asinh.hpp:67</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_adee6abba4694821dd182f44657b53bca"><div class="ttname"><a href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">stan::math::var::val</a></div><div class="ttdeci">double val() const </div><div class="ttdoc">Return the value of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00233">var.hpp:233</a></div></div>
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+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a32fe21eb929346e553266ceda0a97f23"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a32fe21eb929346e553266ceda0a97f23">stan::math::atan2</a> (const var &amp;a, const var &amp;b)</td></tr>
+<tr class="memdesc:a32fe21eb929346e553266ceda0a97f23"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the principal value of the arc tangent, in radians, of the first variable divided by the second (cmath).  <a href="namespacestan_1_1math.html#a32fe21eb929346e553266ceda0a97f23">More...</a><br /></td></tr>
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+<tr class="memdesc:acf0d4eeedff1e94221e2b719d0227e25"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the principal value of the arc tangent, in radians, of the first variable divided by the second scalar (cmath).  <a href="namespacestan_1_1math.html#acf0d4eeedff1e94221e2b719d0227e25">More...</a><br /></td></tr>
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+<tr class="memdesc:a02a3681701397c99fd57d8816869b92f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the principal value of the arc tangent, in radians, of the first scalar divided by the second variable (cmath).  <a href="namespacestan_1_1math.html#a02a3681701397c99fd57d8816869b92f">More...</a><br /></td></tr>
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+<div class="title">atan2.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2atan2_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_ATAN2_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_ATAN2_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">class </span>atan2_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;        atan2_vv_vari(vari* avi, vari* bvi) :</div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        }</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;          <span class="keywordtype">double</span> a_sq_plus_b_sq = (avi_-&gt;val_ * avi_-&gt;val_)</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;            + (bvi_-&gt;val_ * bvi_-&gt;val_);</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;          avi_-&gt;adj_ += adj_ * bvi_-&gt;val_ / a_sq_plus_b_sq;</div>
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+<div class="line"><a name="l00062"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a32fe21eb929346e553266ceda0a97f23">   62</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a0c4868ee5c5ab673ee54e5dce3be37f1">atan2</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a, <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b) {</div>
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+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
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+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a02a3681701397c99fd57d8816869b92f">  119</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a0c4868ee5c5ab673ee54e5dce3be37f1">atan2</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> a, <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b) {</div>
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+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
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+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
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+<tr class="memdesc:a85cb80cff5115679c25d7347ffa89c81"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the principal value of the arc tangent, in radians, of the specified variable (cmath).  <a href="namespacestan_1_1math.html#a85cb80cff5115679c25d7347ffa89c81">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2atan_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_ATAN_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">class </span>atan_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    }</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:a9cbf81b5222fb11c01b539fab0434bdd"><td class="mdescLeft">&#160;</td><td class="mdescRight">The inverse hyperbolic tangent function for variables (C99).  <a href="namespacestan_1_1math.html#a9cbf81b5222fb11c01b539fab0434bdd">More...</a><br /></td></tr>
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+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2atanh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_ATANH_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_ATANH_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#ifdef _MSC_VER</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/atanh.hpp&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9cbf81b5222fb11c01b539fab0434bdd">boost::math::atanh</a>;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">class </span>atanh_vari : <span class="keyword">public</span> op_v_vari {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        atanh_vari(<span class="keywordtype">double</span> val, vari* avi) :</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;          avi_-&gt;adj_ += adj_ / (1.0 - avi_-&gt;val_ * avi_-&gt;val_);</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        }</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      };</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9cbf81b5222fb11c01b539fab0434bdd">   70</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a9e31606b2cbc69573ec0d7693c8b2a2c">atanh</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">if</span> (a == 1.0)</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> atanh_vari(std::numeric_limits&lt;double&gt;::infinity(),</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                                  a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keywordflow">if</span> (a == -1.0)</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> atanh_vari(-std::numeric_limits&lt;double&gt;::infinity(),</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                                  a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> atanh_vari(::<a class="code" href="namespacestan_1_1math.html#a9e31606b2cbc69573ec0d7693c8b2a2c">atanh</a>(a.<a class="code" href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">val</a>()), a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
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+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;}</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9e31606b2cbc69573ec0d7693c8b2a2c"><div class="ttname"><a href="namespacestan_1_1math.html#a9e31606b2cbc69573ec0d7693c8b2a2c">stan::math::atanh</a></div><div class="ttdeci">fvar&lt; T &gt; atanh(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2atanh_8hpp_source.html#l00013">atanh.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a9cbf81b5222fb11c01b539fab0434bdd"><div class="ttname"><a href="namespacestan_1_1math.html#a9cbf81b5222fb11c01b539fab0434bdd">stan::math::atanh</a></div><div class="ttdeci">var atanh(const var &amp;a)</div><div class="ttdoc">The inverse hyperbolic tangent function for variables (C99). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2atanh_8hpp_source.html#l00070">atanh.hpp:70</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<a href="rev_2scal_2fun_2bessel__first__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_BESSEL_FIRST_KIND_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<a href="rev_2scal_2fun_2bessel__second__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_BESSEL_SECOND_KIND_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
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+<p><a href="rev_2scal_2fun_2binary__log__loss_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a87b93caccb44639dea5c47f78fe6be28"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a87b93caccb44639dea5c47f78fe6be28">stan::math::binary_log_loss</a> (const int y, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;y_hat)</td></tr>
+<tr class="memdesc:a87b93caccb44639dea5c47f78fe6be28"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log loss function for variables (stan).  <a href="namespacestan_1_1math.html#a87b93caccb44639dea5c47f78fe6be28">More...</a><br /></td></tr>
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+<div class="title">binary_log_loss.hpp</div>  </div>
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+<a href="rev_2scal_2fun_2binary__log__loss_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_BINARY_LOG_LOSS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_BINARY_LOG_LOSS_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p_8hpp.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">class </span>binary_log_loss_0_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<code>#include &lt;<a class="el" href="likely_8hpp_source.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
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+<tr class="memdesc:a06e924d5a6c94f7593056b5cb1324b66"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the ceiling of the specified variable (cmath).  <a href="namespacestan_1_1math.html#a06e924d5a6c94f7593056b5cb1324b66">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2ceil_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_CEIL_HPP</span></div>
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+<code>#include &lt;cmath&gt;</code><br />
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+<a href="rev_2scal_2fun_2cosh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_COSH_HPP</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">class </span>cosh_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;        <span class="keyword">explicit</span> cosh_vari(vari* avi) :</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a646a34790ca2b692b2a8c74c4e4fb726"><div class="ttname"><a href="namespacestan_1_1math.html#a646a34790ca2b692b2a8c74c4e4fb726">stan::math::sinh</a></div><div class="ttdeci">fvar&lt; T &gt; sinh(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sinh_8hpp_source.html#l00014">sinh.hpp:14</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/zeta.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="trigamma_8hpp_source.html">stan/math/prim/scal/fun/trigamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
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+<a href="rev_2scal_2fun_2digamma_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_DIGAMMA_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/zeta.hpp&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">class </span>digamma_vari : <span class="keyword">public</span> op_v_vari {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;        <span class="keyword">explicit</span> digamma_vari(vari* avi) :</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;          op_v_vari(<a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(avi-&gt;val_), avi) {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        }</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;          avi_-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#ab18c21bad37c9af26424d0922936355e">trigamma</a>(avi_-&gt;val_);</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        }</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      };</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    }</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a366ba0d22b63d45054e4a022e4ffa994">   24</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>&amp; a) {</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    }</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;  }</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;}</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="trigamma_8hpp_html"><div class="ttname"><a href="trigamma_8hpp.html">trigamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:a759d52872682fdf0d6a7a6d75b4f1d9e"><td class="mdescLeft">&#160;</td><td class="mdescRight">The error function for variables (C99).  <a href="namespacestan_1_1math.html#a759d52872682fdf0d6a7a6d75b4f1d9e">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2erf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_ERF_HPP</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa283efca22c0544054a6534443e6e762"><div class="ttname"><a href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math::erf</a></div><div class="ttdeci">fvar&lt; T &gt; erf(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erf_8hpp_source.html#l00014">erf.hpp:14</a></div></div>
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+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:a8a8543e9c729e794bcbdff2ed223eb45"><td class="mdescLeft">&#160;</td><td class="mdescRight">The complementary error function for variables (C99).  <a href="namespacestan_1_1math.html#a8a8543e9c729e794bcbdff2ed223eb45">More...</a><br /></td></tr>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab4c763e4f09069eed96a4e96e33ea8ea"><div class="ttname"><a href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">stan::math::erfc</a></div><div class="ttdeci">fvar&lt; T &gt; erfc(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erfc_8hpp_source.html#l00014">erfc.hpp:14</a></div></div>
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+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:a9fd4650bbf246a10ac798c71da8b99d5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Exponentiation base 2 function for variables (C99).  <a href="namespacestan_1_1math.html#a9fd4650bbf246a10ac798c71da8b99d5">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2exp2_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_EXP2_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">class </span>exp2_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      };</div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8c3a577694c8f584e56160580fe0821b"><div class="ttname"><a href="namespacestan_1_1math.html#a8c3a577694c8f584e56160580fe0821b">stan::math::exp2</a></div><div class="ttdeci">fvar&lt; T &gt; exp2(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp2_8hpp_source.html#l00014">exp2.hpp:14</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
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+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:ae43b048d4a5f53f94501773c93689a65"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the exponentiation of the specified variable (cmath).  <a href="namespacestan_1_1math.html#ae43b048d4a5f53f94501773c93689a65">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_EXP_HPP</span></div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
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+<p><a href="rev_2scal_2fun_2expm1_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:a8c632ff37556a4989fb351042da3a05a"><td class="mdescLeft">&#160;</td><td class="mdescRight">The exponentiation of the specified variable minus 1 (C99).  <a href="namespacestan_1_1math.html#a8c632ff37556a4989fb351042da3a05a">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2expm1_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_EXPM1_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_EXPM1_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifdef _MSC_VER</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/expm1.hpp&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8c632ff37556a4989fb351042da3a05a">boost::math::expm1</a>;</div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8a76b658b94fcf8943f4fb41c586ec94"><div class="ttname"><a href="namespacestan_1_1math.html#a8a76b658b94fcf8943f4fb41c586ec94">stan::math::expm1</a></div><div class="ttdeci">fvar&lt; T &gt; expm1(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2expm1_8hpp_source.html#l00012">expm1.hpp:12</a></div></div>
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+<a href="rev_2scal_2fun_2fabs_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_FABS_HPP</span></div>
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+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">if</span> (a.<a class="code" href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">val</a>() &gt; 0.0)</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2falling__factorial_8hpp_source.html">stan/math/prim/scal/fun/falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
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+<div class="title">falling_factorial.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2falling__factorial_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_FALLING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_FALLING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2falling__factorial_8hpp.html">stan/math/prim/scal/fun/falling_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">class </span>falling_factorial_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
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+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="prim_2scal_2fun_2falling__factorial_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2falling__factorial_8hpp.html">falling_factorial.hpp</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
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+<code>#include &lt;limits&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a6f899b184aa38d3a5f814518611a0666"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6f899b184aa38d3a5f814518611a0666">stan::math::fdim</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:a6f899b184aa38d3a5f814518611a0666"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the positive difference between the first variable's the value and the second's (C99).  <a href="namespacestan_1_1math.html#a6f899b184aa38d3a5f814518611a0666">More...</a><br /></td></tr>
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+<tr class="memdesc:a6fe00d070fb14766341060f7f0fe2627"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the positive difference between the first value and the value of the second variable (C99).  <a href="namespacestan_1_1math.html#a6fe00d070fb14766341060f7f0fe2627">More...</a><br /></td></tr>
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+<tr class="memdesc:a014a74412301cf66626baa1fe1491d94"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the positive difference between the first variable's value and the second value (C99).  <a href="namespacestan_1_1math.html#a014a74412301cf66626baa1fe1491d94">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2fdim_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_FDIM_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="likely_8hpp.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">class </span>fdim_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;        fdim_vv_vari(vari* avi, vari* bvi) :</div>
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+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(avi_-&gt;val_)</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                       || <a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(bvi_-&gt;val_))) {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;            avi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;            bvi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      };</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">class </span>fdim_vd_vari : <span class="keyword">public</span> op_vd_vari {</div>
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+<div class="ttc" id="likely_8hpp_html"><div class="ttname"><a href="likely_8hpp.html">likely.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="likely_8hpp_source.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2floor_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memdesc:a66dea6b6d18e39c5b0f38d3204aa04d5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the floor of the specified variable (cmath).  <a href="namespacestan_1_1math.html#a66dea6b6d18e39c5b0f38d3204aa04d5">More...</a><br /></td></tr>
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+<div class="ttc" id="likely_8hpp_html_a58059a6664c486561d2641a07440ad1a"><div class="ttname"><a href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a></div><div class="ttdeci">#define unlikely(x)  </div><div class="ttdef"><b>Definition:</b> <a href="likely_8hpp_source.html#l00009">likely.hpp:9</a></div></div>
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+<div class="ttc" id="likely_8hpp_html"><div class="ttname"><a href="likely_8hpp.html">likely.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="likely_8hpp_source.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
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+<tr class="separator:a3f3ab44e4f8a8430bd1fd19e37101555"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:ab57371eb5b1cf21e7fa089e89758bdef"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add function for two variables and a value (C99).  <a href="namespacestan_1_1math.html#ab57371eb5b1cf21e7fa089e89758bdef">More...</a><br /></td></tr>
+<tr class="separator:ab57371eb5b1cf21e7fa089e89758bdef"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a6a7340a4f23e33e671e53c2582c63272"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add function for a variable and two values (C99).  <a href="namespacestan_1_1math.html#a6a7340a4f23e33e671e53c2582c63272">More...</a><br /></td></tr>
+<tr class="separator:a6a7340a4f23e33e671e53c2582c63272"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab4becb131eda9f3e3f1ca06e373fea66"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab4becb131eda9f3e3f1ca06e373fea66">stan::math::fma</a> (const double &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b, const double &amp;c)</td></tr>
+<tr class="memdesc:ab4becb131eda9f3e3f1ca06e373fea66"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add function for a value, variable, and value (C99).  <a href="namespacestan_1_1math.html#ab4becb131eda9f3e3f1ca06e373fea66">More...</a><br /></td></tr>
+<tr class="separator:ab4becb131eda9f3e3f1ca06e373fea66"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad6917da974098b0bb02883839f1ae0e1"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad6917da974098b0bb02883839f1ae0e1">stan::math::fma</a> (const double &amp;a, const double &amp;b, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;c)</td></tr>
+<tr class="memdesc:ad6917da974098b0bb02883839f1ae0e1"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add function for two values and a variable, and value (C99).  <a href="namespacestan_1_1math.html#ad6917da974098b0bb02883839f1ae0e1">More...</a><br /></td></tr>
+<tr class="separator:ad6917da974098b0bb02883839f1ae0e1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae9f288e71a8a7012ad123ca361f6a739"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">stan::math::fma</a> (const double &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;c)</td></tr>
+<tr class="memdesc:ae9f288e71a8a7012ad123ca361f6a739"><td class="mdescLeft">&#160;</td><td class="mdescRight">The fused multiply-add function for a value and two variables (C99).  <a href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">More...</a><br /></td></tr>
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+<div class="title">fma.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2fma_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_FMA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_FMA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="likely_8hpp.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#ifdef _MSC_VER</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;T <a class="code" href="namespacestan_1_1math.html#ae9f288e71a8a7012ad123ca361f6a739">fma</a>(T x, T y, T z) {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;  <span class="keywordflow">return</span> x*y+z;</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">namespace </span>{</div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                      avi, bvi, cvi) {</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      };</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">class </span>fma_vvd_vari : <span class="keyword">public</span> op_vvd_vari {</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        fma_vvd_vari(vari* avi, vari* bvi, <span class="keywordtype">double</span> c) :</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;          op_vvd_vari(::<a class="code" href="namespacestan_1_1math.html#ad52e5d20122b9db1d2ec7c57417d19b3">fma</a>(avi-&gt;val_, bvi-&gt;val_, c),</div>
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+<div class="ttc" id="likely_8hpp_html"><div class="ttname"><a href="likely_8hpp.html">likely.hpp</a></div></div>
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+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="likely_8hpp_source.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</code><br />
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+<tr class="memitem:ab57bd2f169eb820c21273293d2cfa01b"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab57bd2f169eb820c21273293d2cfa01b">stan::math::fmax</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:ab57bd2f169eb820c21273293d2cfa01b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the maximum of the two variable arguments (C99).  <a href="namespacestan_1_1math.html#ab57bd2f169eb820c21273293d2cfa01b">More...</a><br /></td></tr>
+<tr class="separator:ab57bd2f169eb820c21273293d2cfa01b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a5e72a34aed1af28919d940399a07c3d0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the maximum of the variable and scalar, promoting the scalar to a variable if it is larger (C99).  <a href="namespacestan_1_1math.html#a5e72a34aed1af28919d940399a07c3d0">More...</a><br /></td></tr>
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+<tr class="memdesc:a8a200e969bd57383ff4f89516c0690b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the maximum of a scalar and variable, promoting the scalar to a variable if it is larger (C99).  <a href="namespacestan_1_1math.html#a8a200e969bd57383ff4f89516c0690b5">More...</a><br /></td></tr>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
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+<div class="ttc" id="prim_2scal_2fun_2is__nan_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2is__nan_8hpp.html">is_nan.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1precomp__vv__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1precomp__vv__vari.html">stan::math::precomp_vv_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="precomp__vv__vari_8hpp_source.html#l00011">precomp_vv_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="likely_8hpp_html"><div class="ttname"><a href="likely_8hpp.html">likely.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1precomp__v__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1precomp__v__vari.html">stan::math::precomp_v_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="precomp__v__vari_8hpp_source.html#l00011">precomp_v_vari.hpp:11</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a921dd9cd85ce1a6fca79c7b07cd80b99"><div class="ttname"><a href="namespacestan_1_1math.html#a921dd9cd85ce1a6fca79c7b07cd80b99">stan::math::is_nan</a></div><div class="ttdeci">int is_nan(const fvar&lt; T &gt; &amp;x)</div><div class="ttdoc">Returns 1 if the input&#39;s value is NaN and 0 otherwise. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2is__nan_8hpp_source.html#l00022">is_nan.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1f0dc47791c87f86c9f93d2cba273c25"><div class="ttname"><a href="namespacestan_1_1math.html#a1f0dc47791c87f86c9f93d2cba273c25">stan::math::fmax</a></div><div class="ttdeci">fvar&lt; T &gt; fmax(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fmax_8hpp_source.html#l00013">fmax.hpp:13</a></div></div>
+<div class="ttc" id="rev_2scal_2fun_2is__nan_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2is__nan_8hpp.html">is_nan.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="likely_8hpp_source.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2is__nan_8hpp_source.html">stan/math/rev/scal/fun/is_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2is__nan_8hpp_source.html">stan/math/prim/scal/fun/is_nan.hpp</a>&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a3ff067261be560b2502178b590a7a068"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3ff067261be560b2502178b590a7a068">stan::math::fmin</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:a3ff067261be560b2502178b590a7a068"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the minimum of the two variable arguments (C99).  <a href="namespacestan_1_1math.html#a3ff067261be560b2502178b590a7a068">More...</a><br /></td></tr>
+<tr class="separator:a3ff067261be560b2502178b590a7a068"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a2e9c72371629b0a266acc6795d723aa6"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a2e9c72371629b0a266acc6795d723aa6">stan::math::fmin</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, double b)</td></tr>
+<tr class="memdesc:a2e9c72371629b0a266acc6795d723aa6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the minimum of the variable and scalar, promoting the scalar to a variable if it is larger (C99).  <a href="namespacestan_1_1math.html#a2e9c72371629b0a266acc6795d723aa6">More...</a><br /></td></tr>
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+<tr class="memitem:af78692904b139471b470740ce866468e"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af78692904b139471b470740ce866468e">stan::math::fmin</a> (double a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:af78692904b139471b470740ce866468e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the minimum of a scalar and variable, promoting the scalar to a variable if it is larger (C99).  <a href="namespacestan_1_1math.html#af78692904b139471b470740ce866468e">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2fmin_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_FMIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_FMIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="likely_8hpp.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2is__nan_8hpp.html">stan/math/rev/scal/fun/is_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2is__nan_8hpp.html">stan/math/prim/scal/fun/is_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3ff067261be560b2502178b590a7a068">   59</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#ae765dc2aa344a1893f66bffbdab0267c">fmin</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>&amp; a,</div>
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+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:a935933626162d429e5a7f06ca0bde103"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the floating point remainder after dividing the first variable by the second (cmath).  <a href="namespacestan_1_1math.html#a935933626162d429e5a7f06ca0bde103">More...</a><br /></td></tr>
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+<tr class="memdesc:ab9ecd1367428932c3515ef3c374e6e9e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the floating point remainder after dividing the the first variable by the second scalar (cmath).  <a href="namespacestan_1_1math.html#ab9ecd1367428932c3515ef3c374e6e9e">More...</a><br /></td></tr>
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+<div class="title">fmod.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2fmod_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_FMOD_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_FMOD_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">class </span>fmod_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;        fmod_vv_vari(vari* avi, vari* bvi) :</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;          op_vv_vari(<a class="code" href="namespacestd.html">std</a>::<a class="code" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">fmod</a>(avi-&gt;val_, bvi-&gt;val_), avi, bvi) {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        }</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(avi_-&gt;val_)</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                       || <a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(bvi_-&gt;val_))) {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;            avi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;            bvi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;          } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;            avi_-&gt;adj_ += adj_;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;            bvi_-&gt;adj_ -= adj_ * <span class="keyword">static_cast&lt;</span><span class="keywordtype">int</span><span class="keyword">&gt;</span>(avi_-&gt;val_ / bvi_-&gt;val_);</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;          }</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        }</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      };</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">class </span>fmod_vd_vari : <span class="keyword">public</span> op_vd_vari {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        fmod_vd_vari(vari* avi, <span class="keywordtype">double</span> b) :</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;          op_vd_vari(<a class="code" href="namespacestd.html">std</a>::<a class="code" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">fmod</a>(avi-&gt;val_, b), avi, b) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        }</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(avi_-&gt;val_)</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                       || <a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(bd_)))</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;            avi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;          <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;            avi_-&gt;adj_ += adj_;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        }</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      };</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">class </span>fmod_dv_vari : <span class="keyword">public</span> op_dv_vari {</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        fmod_dv_vari(<span class="keywordtype">double</span> a, vari* bvi) :</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;          op_dv_vari(<a class="code" href="namespacestd.html">std</a>::<a class="code" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">fmod</a>(a, bvi-&gt;val_), a, bvi) {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        }</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(bvi_-&gt;val_)</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                       || <a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(ad_))) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;            bvi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;          } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            <span class="keywordtype">int</span> d = <span class="keyword">static_cast&lt;</span><span class="keywordtype">int</span><span class="keyword">&gt;</span>(ad_ / bvi_-&gt;val_);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            bvi_-&gt;adj_ -= adj_ * d;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;          }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        }</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      };</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    }</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a935933626162d429e5a7f06ca0bde103">  103</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">fmod</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a, <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b) {</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> fmod_vv_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, b.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab9ecd1367428932c3515ef3c374e6e9e">  120</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">fmod</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a, <span class="keyword">const</span> <span class="keywordtype">double</span> b) {</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> fmod_vd_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, b));</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    }</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00137"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6806c0d68c9e23e905b4ca36119734bd">  137</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">fmod</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> a, <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b) {</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> fmod_dv_vari(a, b.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    }</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;  }</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;}</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac9f40b2c56584ebd33037769fddc4d3f"><div class="ttname"><a href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">stan::math::fmod</a></div><div class="ttdeci">fvar&lt; T &gt; fmod(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fmod_8hpp_source.html#l00016">fmod.hpp:16</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a9ec9f6ad1870e35178068fd12a0d04ea"><div class="ttname"><a href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a></div><div class="ttdeci">bool isnan(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is NaN. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isnan_8hpp_source.html#l00022">boost_isnan.hpp:22</a></div></div>
+<div class="ttc" id="likely_8hpp_html_a58059a6664c486561d2641a07440ad1a"><div class="ttname"><a href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a></div><div class="ttdeci">#define unlikely(x)  </div><div class="ttdef"><b>Definition:</b> <a href="likely_8hpp_source.html#l00009">likely.hpp:9</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
+</div>
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+<div class="title">gamma_p.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2gamma__p_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_GAMMA_P_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_GAMMA_P_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__p_8hpp.html">stan/math/prim/scal/fun/gamma_p.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keyword">class </span>gamma_p_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        gamma_p_vv_vari(vari* avi, vari* bvi) :</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;          op_vv_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#aa0fad89bd8e78eee42230dd92bcf1b15">gamma_p</a>(avi-&gt;val_, bvi-&gt;val_),</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;                     avi, bvi) {</div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;          <span class="comment">// return zero derivative as gamma_p is flat</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;          <span class="comment">// to machine precision for b / a &gt; 10</span></div>
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+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;                                * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>(bvi_-&gt;val_, avi_-&gt;val_ - 1.0) / g);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        }</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      };</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">class </span>gamma_p_vd_vari : <span class="keyword">public</span> op_vd_vari {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">public</span>:</div>
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+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
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+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;          <span class="comment">// to machine precision for b / a &gt; 10</span></div>
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+<div class="ttc" id="prim_2scal_2fun_2gamma__p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__p_8hpp.html">gamma_p.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
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+<div class="title">gamma_q.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2gamma__q_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<div class="title">gamma_q.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2gamma__q_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_GAMMA_Q_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_GAMMA_Q_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">class </span>gamma_q_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        gamma_q_vv_vari(vari* avi, vari* bvi) :</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;          op_vv_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(avi-&gt;val_, bvi-&gt;val_),</div>
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+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ac8ed9105d1156ceaca26ab323f1a2648">   58</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>&amp; a,</div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6336e9873f3029f5abe54c4914c71cb2"><div class="ttname"><a href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a></div><div class="ttdeci">T grad_reg_inc_gamma(T a, T z, T g, T dig, T precision=1e-6)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__gamma_8hpp_source.html#l00016">grad_reg_inc_gamma.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a73eaf0a5d0593bb8610234e0d69e7cec"><div class="ttname"><a href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">stan::math::tgamma</a></div><div class="ttdeci">fvar&lt; T &gt; tgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2tgamma_8hpp_source.html#l00015">tgamma.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a743267027c96ebef239be63589a6d594"><div class="ttname"><a href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_q(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__q_8hpp_source.html#l00015">gamma_q.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="grad__2_f1_8hpp_source.html">stan/math/prim/scal/fun/grad_2F1.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2exp_8hpp_source.html">stan/math/rev/scal/fun/exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2fabs_8hpp_source.html">stan/math/rev/scal/fun/fabs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2lgamma_8hpp_source.html">stan/math/rev/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log_8hpp_source.html">stan/math/rev/scal/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log1m_8hpp_source.html">stan/math/rev/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/rev/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2grad__inc__beta_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:a25f15a75139ebb4a3b599a1190d39fc1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a25f15a75139ebb4a3b599a1190d39fc1">stan::math::grad_inc_beta</a> (var &amp;g1, var &amp;g2, const var &amp;a, const var &amp;b, const var &amp;z)</td></tr>
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+<a href="rev_2scal_2fun_2grad__inc__beta_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_GRAD_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_GRAD_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__2_f1_8hpp.html">stan/math/prim/scal/fun/grad_2F1.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2exp_8hpp.html">stan/math/rev/scal/fun/exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2fabs_8hpp.html">stan/math/rev/scal/fun/fabs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2lgamma_8hpp.html">stan/math/rev/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2log_8hpp.html">stan/math/rev/scal/fun/log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2log1m_8hpp.html">stan/math/rev/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2value__of_8hpp.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2inc__beta_8hpp.html">stan/math/rev/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="comment">// Gradient of the incomplete beta function beta(a, b, z)</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="comment">// with respect to the first two arguments, using the</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="comment">// equivalence to a hypergeometric function.</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="comment">// See http://dlmf.nist.gov/8.17#ii</span></div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <a class="code" href="classstan_1_1math_1_1var.html">var</a> c2 = <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">log1m</a>(z);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <a class="code" href="classstan_1_1math_1_1var.html">var</a> c3 = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(a, b)) * <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(a, b, z);</div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <a class="code" href="classstan_1_1math_1_1var.html">var</a> dF1 = 0;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <a class="code" href="classstan_1_1math_1_1var.html">var</a> dF2 = 0;</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      g1 = (c1 - 1.0 / a) * c3 + C * (dF1 + dF2);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      g2 = c2 * c3 + C * dF1;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    }</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;}</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="rev_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8fb6dcbe4585fc38ff9374aa5164582f"><div class="ttname"><a href="namespacestan_1_1math.html#a8fb6dcbe4585fc38ff9374aa5164582f">stan::math::grad_inc_beta</a></div><div class="ttdeci">void grad_inc_beta(stan::math::fvar&lt; T &gt; &amp;g1, stan::math::fvar&lt; T &gt; &amp;g2, stan::math::fvar&lt; T &gt; a, stan::math::fvar&lt; T &gt; b, stan::math::fvar&lt; T &gt; z)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2grad__inc__beta_8hpp_source.html#l00024">grad_inc_beta.hpp:24</a></div></div>
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+<div class="ttc" id="rev_2scal_2fun_2log_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2log_8hpp.html">log.hpp</a></div></div>
+<div class="ttc" id="rev_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="grad__2_f1_8hpp_html"><div class="ttname"><a href="grad__2_f1_8hpp.html">grad_2F1.hpp</a></div></div>
+<div class="ttc" id="rev_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="rev_2scal_2fun_2fabs_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2fabs_8hpp.html">fabs.hpp</a></div></div>
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+<div class="title">hypot.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2hypot_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a0827e995b465dcb291c3de1a77e2b547"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0827e995b465dcb291c3de1a77e2b547">stan::math::hypot</a> (const var &amp;a, const var &amp;b)</td></tr>
+<tr class="memdesc:a0827e995b465dcb291c3de1a77e2b547"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of the hypoteneuse of a right triangle with sides of the specified lengths (C99).  <a href="namespacestan_1_1math.html#a0827e995b465dcb291c3de1a77e2b547">More...</a><br /></td></tr>
+<tr class="separator:a0827e995b465dcb291c3de1a77e2b547"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abcb40e789140be0e0b93a44e055a6cfc"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abcb40e789140be0e0b93a44e055a6cfc">stan::math::hypot</a> (const var &amp;a, double b)</td></tr>
+<tr class="memdesc:abcb40e789140be0e0b93a44e055a6cfc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of the hypoteneuse of a right triangle with sides of the specified lengths (C99).  <a href="namespacestan_1_1math.html#abcb40e789140be0e0b93a44e055a6cfc">More...</a><br /></td></tr>
+<tr class="separator:abcb40e789140be0e0b93a44e055a6cfc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a5c9d2305ce89a46a7d182e6014fd0b3f"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5c9d2305ce89a46a7d182e6014fd0b3f">stan::math::hypot</a> (double a, const var &amp;b)</td></tr>
+<tr class="memdesc:a5c9d2305ce89a46a7d182e6014fd0b3f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the length of the hypoteneuse of a right triangle with sides of the specified lengths (C99).  <a href="namespacestan_1_1math.html#a5c9d2305ce89a46a7d182e6014fd0b3f">More...</a><br /></td></tr>
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+<div class="title">hypot.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2hypot_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_HYPOT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_HYPOT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">class </span>hypot_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;        hypot_vv_vari(vari* avi, vari* bvi) :</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;          op_vv_vari(::<a class="code" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot</a>(avi-&gt;val_, bvi-&gt;val_),</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;                     avi, bvi) {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;          avi_-&gt;adj_ += adj_ * avi_-&gt;val_ / val_;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;          bvi_-&gt;adj_ += adj_ * bvi_-&gt;val_ / val_;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        }</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      };</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">class </span>hypot_vd_vari : <span class="keyword">public</span> op_v_vari {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;        hypot_vd_vari(vari* avi, <span class="keywordtype">double</span> b) :</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                    avi) {</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;          avi_-&gt;adj_ += adj_ * avi_-&gt;val_ / val_;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        }</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      };</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0827e995b465dcb291c3de1a77e2b547">   53</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a, <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b) {</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> hypot_vv_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, b.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    }</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#abcb40e789140be0e0b93a44e055a6cfc">   71</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a, <span class="keywordtype">double</span> b) {</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> hypot_vd_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, b));</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    }</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5c9d2305ce89a46a7d182e6014fd0b3f">  116</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">hypot</a>(<span class="keywordtype">double</span> a, <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b) {</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> hypot_vd_vari(b.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, a));</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    }</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;  }</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;}</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_acd88cd5e3b00b9d099acd2482ca6fbf2"><div class="ttname"><a href="namespacestan_1_1math.html#acd88cd5e3b00b9d099acd2482ca6fbf2">stan::math::hypot</a></div><div class="ttdeci">fvar&lt; T &gt; hypot(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2hypot_8hpp_source.html#l00013">hypot.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2ibeta_8hpp_source.html">stan/math/prim/scal/fun/ibeta.hpp</a>&gt;</code><br />
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+<tr class="memitem:a8c7547dffd79bc54378fb3906345500e"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8c7547dffd79bc54378fb3906345500e">stan::math::ibeta</a> (const var &amp;a, const var &amp;b, const var &amp;x)</td></tr>
+<tr class="memdesc:a8c7547dffd79bc54378fb3906345500e"><td class="mdescLeft">&#160;</td><td class="mdescRight">The normalized incomplete beta function of a, b, and x.  <a href="namespacestan_1_1math.html#a8c7547dffd79bc54378fb3906345500e">More...</a><br /></td></tr>
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+<div class="title">ibeta.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2ibeta_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_IBETA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_IBETA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2ibeta_8hpp.html">stan/math/prim/scal/fun/ibeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keywordtype">double</span> ibeta_hypergeometric_helper(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b, <span class="keywordtype">double</span> z,</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                                         <span class="keywordtype">double</span> precision = 1<a class="code" href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">e</a>-8,</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                                         <span class="keywordtype">double</span> max_steps = 1000) {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <span class="keywordtype">double</span> val = 0;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <span class="keywordtype">double</span> diff = 1;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        <span class="keywordtype">double</span> k = 0;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        <span class="keywordtype">double</span> a_2 = a*a;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        <span class="keywordtype">double</span> bprod = 1;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        <span class="keywordflow">while</span> (<a class="code" href="namespacestan_1_1math.html#ae560b842e3ed6e5939dc2177bf158265">std::abs</a>(diff) &gt; precision</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;               &amp;&amp; ++k &lt; max_steps</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;               &amp;&amp; !<a class="code" href="namespacestd.html#a3a2f34cf599093f31edcc8e056311305">std::isnan</a>(diff)) {</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;          diff = a_2 * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>(a+k, -2) * bprod * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>(z, k)</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>(k+1);</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        }</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        <span class="keywordflow">return</span> val;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      }</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">class </span>ibeta_vvv_vari : <span class="keyword">public</span> op_vvv_vari {</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        ibeta_vvv_vari(vari* avi, vari* bvi, vari* xvi) :</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;          op_vvv_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">ibeta</a>(avi-&gt;val_, bvi-&gt;val_, xvi-&gt;val_),</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                      avi, bvi, xvi) {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;          <span class="keywordtype">double</span> a = avi_-&gt;val_;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;          <span class="keywordtype">double</span> b = bvi_-&gt;val_;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;          <span class="keywordtype">double</span> c = cvi_-&gt;val_;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">std::sin</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">boost::math::constants::pi</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8c7547dffd79bc54378fb3906345500e">boost::math::ibeta</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;          <span class="keyword">using</span> stan::math::ibeta_hypergeometric_helper;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;          avi_-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> += adj_ *</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            (<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(c) - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(a) + <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(a+b)) * val_</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            - <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a) * <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a+b) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(c, a)</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(1+a) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(1+a)</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            * ibeta_hypergeometric_helper(a, 1-b, c);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;          bvi_-&gt;adj_ += adj_ *</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            (<a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b) * <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a+b) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1-c, b)</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;             * ibeta_hypergeometric_helper(b, 1-a, 1-c)</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;             / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b+1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b+1)</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;             + <a class="code" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">ibeta</a>(b, a, 1-c) * (<a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(b) - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(a+b) - <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(1-c)));</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;          cvi_-&gt;adj_ += adj_ *</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            boost::math::ibeta_derivative(a, b, c);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        }</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      };</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">class </span>ibeta_vvd_vari : <span class="keyword">public</span> op_vvd_vari {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        ibeta_vvd_vari(vari* avi, vari* bvi, <span class="keywordtype">double</span> x) :</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          op_vvd_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">ibeta</a>(avi-&gt;val_, bvi-&gt;val_, x), avi, bvi, x) {</div>
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+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
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+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          <span class="keywordtype">double</span> b = bvi_-&gt;val_;</div>
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+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">boost::math::constants::pi</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8c7547dffd79bc54378fb3906345500e">boost::math::ibeta</a>;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          <span class="keyword">using</span> stan::math::ibeta_hypergeometric_helper;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          avi_-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> += adj_ *</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;            (<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(c) - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(a) + <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(a+b)) * val_ -</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;            <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a) * <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a+b) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(c, a)</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(1+a) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(1+a)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;            * ibeta_hypergeometric_helper(a, 1-b, c);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;          bvi_-&gt;adj_ += adj_ *</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;            (<a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b) * <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a+b) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1-c, b)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;             * ibeta_hypergeometric_helper(b, 1-a, 1-c)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;             / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b+1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b+1)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;             + <a class="code" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">ibeta</a>(b, a, 1-c) * (<a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(b) - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(a+b) - <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(1-c)));</div>
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+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keyword">class </span>ibeta_vdv_vari : <span class="keyword">public</span> op_vdv_vari {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        ibeta_vdv_vari(vari* avi, <span class="keywordtype">double</span> b, vari* xvi) :</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          op_vdv_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">ibeta</a>(avi-&gt;val_, b, xvi-&gt;val_), avi, b, xvi) {</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        }</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
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+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          <span class="keywordtype">double</span> b = bd_;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          <span class="keywordtype">double</span> c = cvi_-&gt;val_;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">std::sin</a>;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">boost::math::constants::pi</a>;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8c7547dffd79bc54378fb3906345500e">boost::math::ibeta</a>;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          <span class="keyword">using</span> stan::math::ibeta_hypergeometric_helper;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          avi_-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> += adj_ *</div>
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+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(1+a) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(1+a)</div>
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+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        ibeta_vdd_vari(vari* avi, <span class="keywordtype">double</span> b, <span class="keywordtype">double</span> x) :</div>
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+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        }</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          <span class="keywordtype">double</span> a = avi_-&gt;val_;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;          <span class="keywordtype">double</span> b = bd_;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;          <span class="keywordtype">double</span> c = cd_;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
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+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">boost::math::constants::pi</a>;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8c7547dffd79bc54378fb3906345500e">boost::math::ibeta</a>;</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;          <span class="keyword">using</span> stan::math::ibeta_hypergeometric_helper;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;          avi_-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> += adj_ *</div>
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+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;            / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(1+a) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(1+a)</div>
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+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        ibeta_dvv_vari(<span class="keywordtype">double</span> a, vari* bvi, vari* xvi) :</div>
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+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">boost::math::constants::pi</a>;</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8c7547dffd79bc54378fb3906345500e">boost::math::ibeta</a>;</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;          <span class="keyword">using</span> stan::math::ibeta_hypergeometric_helper;</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;          bvi_-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> += adj_ *</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;            (<a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b) * <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a+b) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1-c, b)</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;             * ibeta_hypergeometric_helper(b, 1-a, 1-c)</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;             / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b+1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b+1)</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;             + <a class="code" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">ibeta</a>(b, a, 1-c) * (<a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(b) - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(a+b) - <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(1-c)));</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;          cvi_-&gt;adj_ += adj_ *</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;            boost::math::ibeta_derivative(a, b, c);</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;        }</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;      };</div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;      <span class="keyword">class </span>ibeta_dvd_vari : <span class="keyword">public</span> op_dvd_vari {</div>
+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        ibeta_dvd_vari(<span class="keywordtype">double</span> a, vari* bvi, <span class="keywordtype">double</span> x) :</div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;          op_dvd_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">ibeta</a>(a, bvi-&gt;val_, x), a, bvi, x) {</div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;        }</div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;          <span class="keywordtype">double</span> a = ad_;</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;          <span class="keywordtype">double</span> b = bvi_-&gt;val_;</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;          <span class="keywordtype">double</span> c = cd_;</div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">std::sin</a>;</div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">boost::math::constants::pi</a>;</div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>;</div>
+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;          <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8c7547dffd79bc54378fb3906345500e">boost::math::ibeta</a>;</div>
+<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;          <span class="keyword">using</span> stan::math::ibeta_hypergeometric_helper;</div>
+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;          bvi_-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> += adj_ *</div>
+<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;            (<a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b) * <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a+b) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(a) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1-c, b)</div>
+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;             * ibeta_hypergeometric_helper(b, 1-a, 1-c)</div>
+<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;             / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b+1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(b+1)</div>
+<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;             + <a class="code" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">ibeta</a>(b, a, 1-c) * (<a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(b) - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(a+b) - <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(1-c)));</div>
+<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;        }</div>
+<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;      };</div>
+<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;      <span class="keyword">class </span>ibeta_ddv_vari : <span class="keyword">public</span> op_ddv_vari {</div>
+<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;        ibeta_ddv_vari(<span class="keywordtype">double</span> a, <span class="keywordtype">double</span> b, vari* xvi) :</div>
+<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;          op_ddv_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">ibeta</a>(a, b, xvi-&gt;val_), a, b, xvi) {</div>
+<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;        }</div>
+<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;          <span class="keywordtype">double</span> a = ad_;</div>
+<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;          <span class="keywordtype">double</span> b = bd_;</div>
+<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;          <span class="keywordtype">double</span> c = cvi_-&gt;val_;</div>
+<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;</div>
+<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;          cvi_-&gt;adj_ += adj_ *</div>
+<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;            boost::math::ibeta_derivative(a, b, c);</div>
+<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;        }</div>
+<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;      };</div>
+<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;    }</div>
+<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;</div>
+<div class="line"><a name="l00238"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8c7547dffd79bc54378fb3906345500e">  238</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">ibeta</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a,</div>
+<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;                     <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b,</div>
+<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;                     <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; x) {</div>
+<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> ibeta_vvv_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, b.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, x.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;    }</div>
+<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;</div>
+<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;  }</div>
+<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;}</div>
+<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae560b842e3ed6e5939dc2177bf158265"><div class="ttname"><a href="namespacestan_1_1math.html#ae560b842e3ed6e5939dc2177bf158265">stan::math::abs</a></div><div class="ttdeci">fvar&lt; T &gt; abs(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2abs_8hpp_source.html#l00015">abs.hpp:15</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af7b430ac57e75ba2d55843cd868506e1"><div class="ttname"><a href="namespacestan_1_1math.html#af7b430ac57e75ba2d55843cd868506e1">stan::math::ibeta</a></div><div class="ttdeci">double ibeta(const double a, const double b, const double x)</div><div class="ttdoc">The normalized incomplete beta function of a, b, and x. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2fun_2ibeta_8hpp_source.html#l00023">ibeta.hpp:23</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestd_html_a3a2f34cf599093f31edcc8e056311305"><div class="ttname"><a href="namespacestd.html#a3a2f34cf599093f31edcc8e056311305">std::isnan</a></div><div class="ttdeci">int isnan(const stan::math::var &amp;a)</div><div class="ttdoc">Checks if the given number is NaN. </div><div class="ttdef"><b>Definition:</b> <a href="std__isnan_8hpp_source.html#l00018">std_isnan.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aff3f2dd84567a0566cfdd7eb10e13607"><div class="ttname"><a href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">stan::math::sin</a></div><div class="ttdeci">fvar&lt; T &gt; sin(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sin_8hpp_source.html#l00014">sin.hpp:14</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2ibeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2ibeta_8hpp.html">ibeta.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3b650a0131d41167ef4837ecc7d02be5"><div class="ttname"><a href="namespacestan_1_1math.html#a3b650a0131d41167ef4837ecc7d02be5">stan::math::e</a></div><div class="ttdeci">double e()</div><div class="ttdoc">Return the base of the natural logarithm. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00095">constants.hpp:95</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8c7547dffd79bc54378fb3906345500e"><div class="ttname"><a href="namespacestan_1_1math.html#a8c7547dffd79bc54378fb3906345500e">stan::math::ibeta</a></div><div class="ttdeci">var ibeta(const var &amp;a, const var &amp;b, const var &amp;x)</div><div class="ttdoc">The normalized incomplete beta function of a, b, and x. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2ibeta_8hpp_source.html#l00238">ibeta.hpp:238</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa2ffd66726e0532160e16e6b48d6f428"><div class="ttname"><a href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a></div><div class="ttdeci">double pi()</div><div class="ttdoc">Return the value of pi. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00086">constants.hpp:86</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html_a53f635dd2454bc46335f3ad5bd172623"><div class="ttname"><a href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">stan::math::vari::adj_</a></div><div class="ttdeci">double adj_</div><div class="ttdoc">The adjoint of this variable, which is the partial derivative of this variable with respect to the ro...</div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00044">vari.hpp:44</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a73eaf0a5d0593bb8610234e0d69e7cec"><div class="ttname"><a href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">stan::math::tgamma</a></div><div class="ttdeci">fvar&lt; T &gt; tgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2tgamma_8hpp_source.html#l00015">tgamma.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+<tr class="memdesc:abb35d5a60bdc11a5d09eb629c50b5db5"><td class="mdescLeft">&#160;</td><td class="mdescRight">If the specified condition is true, return the first variable, otherwise return the second variable.  <a href="namespacestan_1_1math.html#abb35d5a60bdc11a5d09eb629c50b5db5">More...</a><br /></td></tr>
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+<tr class="memdesc:abc1dc3a479994402ee1959b75fa2c70f"><td class="mdescLeft">&#160;</td><td class="mdescRight">If the specified condition is true, return a new variable constructed from the first scalar, otherwise return the second variable.  <a href="namespacestan_1_1math.html#abc1dc3a479994402ee1959b75fa2c70f">More...</a><br /></td></tr>
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+<tr class="memdesc:a09912038470cc9d13d754296b1fe6949"><td class="mdescLeft">&#160;</td><td class="mdescRight">If the specified condition is true, return the first variable, otherwise return a new variable constructed from the second scalar.  <a href="namespacestan_1_1math.html#a09912038470cc9d13d754296b1fe6949">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2if__else_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_IF_ELSE_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2pow_8hpp_source.html">stan/math/rev/scal/fun/pow.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
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+<a href="rev_2scal_2fun_2inc__beta_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_INC_BETA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2pow_8hpp.html">stan/math/rev/scal/fun/pow.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">class </span>inc_beta_vvv_vari : <span class="keyword">public</span> op_vvv_vari {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        inc_beta_vvv_vari(vari* avi, vari* bvi, vari* cvi) :</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;                      avi, bvi, cvi) {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        }</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv_8hpp_source.html">stan/math/prim/scal/fun/inv.hpp</a>&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
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+<tr class="memdesc:ad0b645189bc4899956bdba20158a0ee6"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{inv}(x) = \begin{cases} \frac{1}{x} &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_383.png"/>
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+<a href="rev_2scal_2fun_2inv_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_INV_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">class </span>inv_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="ttc" id="prim_2scal_2fun_2inv_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv_8hpp.html">inv.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv___phi_8hpp_source.html">stan/math/prim/scal/fun/inv_Phi.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2square_8hpp_source.html">stan/math/rev/scal/fun/square.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2inv___phi_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:a3450dbd4a7dae0165e11a40e1b0d4b37"><td class="mdescLeft">&#160;</td><td class="mdescRight">The inverse of unit normal cumulative density function.  <a href="namespacestan_1_1math.html#a3450dbd4a7dae0165e11a40e1b0d4b37">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2inv___phi_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_INV_PHI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_INV_PHI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv___phi_8hpp.html">stan/math/prim/scal/fun/inv_Phi.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">class </span>inv_Phi_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__cloglog_8hpp_source.html">stan/math/prim/scal/fun/inv_cloglog.hpp</a>&gt;</code><br />
+</div>
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+<tr class="memdesc:ab834f530318a33700ba2c66b74ea3bf5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the inverse complementary log-log function applied specified variable (stan).  <a href="namespacestan_1_1math.html#ab834f530318a33700ba2c66b74ea3bf5">More...</a><br /></td></tr>
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+</div><!--header-->
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+<a href="rev_2scal_2fun_2inv__cloglog_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_INV_CLOGLOG_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;      <span class="keyword">class </span>inv_cloglog_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+</div>
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+<tr class="memdesc:ad7d7861511ad7d8a82e17a1e9fa573de"><td class="mdescLeft">&#160;</td><td class="mdescRight">The inverse logit function for variables (stan).  <a href="namespacestan_1_1math.html#ad7d7861511ad7d8a82e17a1e9fa573de">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2inv__logit_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_INV_LOGIT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_INV_LOGIT_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;      <span class="keyword">class </span>inv_logit_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__sqrt_8hpp_source.html">stan/math/prim/scal/fun/inv_sqrt.hpp</a>&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
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+<img class="formulaDsp" alt="\[ \mbox{inv\_sqrt}(x) = \begin{cases} \frac{1}{\sqrt{x}} &amp; \mbox{if } -\infty\leq x \leq \infty \\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_387.png"/>
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+<a href="rev_2scal_2fun_2inv__sqrt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_INV_SQRT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_INV_SQRT_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<a href="rev_2scal_2fun_2inv__square_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_INV_SQUARE_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa7c1f6b0f3c9f48fa30e09f2d929336d"><div class="ttname"><a href="namespacestan_1_1math.html#aa7c1f6b0f3c9f48fa30e09f2d929336d">stan::math::inv_square</a></div><div class="ttdeci">fvar&lt; T &gt; inv_square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv__square_8hpp_source.html#l00015">inv_square.hpp:15</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2is__inf_8hpp_source.html">stan/math/prim/scal/fun/is_inf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
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+<tr class="memdesc:a2c050932da2e90902bda668170379545"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns 1 if the input's value is infinite and 0 otherwise.  <a href="namespacestan_1_1math.html#a2c050932da2e90902bda668170379545">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<tr class="memdesc:acf8ef1e06cddc77c4c56311f937cc183"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns 1 if the input's value is NaN and 0 otherwise.  <a href="namespacestan_1_1math.html#acf8ef1e06cddc77c4c56311f937cc183">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/gamma.hpp&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
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+<tr class="memdesc:a21018562738b2bf94984bcb7e1c9865b"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log gamma function for variables (C99).  <a href="namespacestan_1_1math.html#a21018562738b2bf94984bcb7e1c9865b">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2lgamma_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_LGAMMA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_LGAMMA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/gamma.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;valarray&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keyword">class </span>lgamma_vari : <span class="keyword">public</span> op_v_vari {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        lgamma_vari(<span class="keywordtype">double</span> value, vari* avi) :</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;          op_v_vari(value, avi) {</div>
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+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    }</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a21018562738b2bf94984bcb7e1c9865b"><div class="ttname"><a href="namespacestan_1_1math.html#a21018562738b2bf94984bcb7e1c9865b">stan::math::lgamma</a></div><div class="ttdeci">var lgamma(const stan::math::var &amp;a)</div><div class="ttdoc">The log gamma function for variables (C99). </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2lgamma_8hpp_source.html#l00035">lgamma.hpp:35</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_adee6abba4694821dd182f44657b53bca"><div class="ttname"><a href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">stan::math::var::val</a></div><div class="ttdeci">double val() const </div><div class="ttdoc">Return the value of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00233">var.hpp:233</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lmgamma_8hpp_source.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_LMGAMMA_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lmgamma_8hpp.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">namespace </span>{</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lmgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lmgamma_8hpp.html">lmgamma.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2log10_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memdesc:af56e2f9808a531946681d3644307edeb"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the base 10 log of the specified variable (cmath).  <a href="namespacestan_1_1math.html#af56e2f9808a531946681d3644307edeb">More...</a><br /></td></tr>
+<tr class="separator:af56e2f9808a531946681d3644307edeb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="ad5fa8da685c6b471f471d6ed4fc99ebd"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const double exp_val_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2fun_2log10_8hpp_source.html#l00014">14</a> of file <a class="el" href="rev_2scal_2fun_2log10_8hpp_source.html">log10.hpp</a>.</p>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">class </span>log10_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a808cbb5ac4003f28e2538805ebe338ef"><div class="ttname"><a href="namespacestan_1_1math.html#a808cbb5ac4003f28e2538805ebe338ef">stan::math::log10</a></div><div class="ttdeci">fvar&lt; T &gt; log10(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log10_8hpp_source.html#l00015">log10.hpp:15</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="rev_2scal_2fun_2log10_8hpp_html_ad5fa8da685c6b471f471d6ed4fc99ebd"><div class="ttname"><a href="rev_2scal_2fun_2log10_8hpp.html#ad5fa8da685c6b471f471d6ed4fc99ebd">exp_val_</a></div><div class="ttdeci">const double exp_val_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2fun_2log10_8hpp_source.html#l00014">log10.hpp:14</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
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+<tr class="memdesc:a5aaee0104c1b99038dda2dbb769abae1"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log (1 - x) function for variables.  <a href="namespacestan_1_1math.html#a5aaee0104c1b99038dda2dbb769abae1">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2log1m_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_LOG1M_HPP</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;      <span class="keyword">class </span>log1m_vari : <span class="keyword">public</span> op_v_vari {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;        <span class="keyword">explicit</span> log1m_vari(vari* avi) :</div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa16e57e82fb1e17f74ef43592748ff32"><div class="ttname"><a href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">stan::math::log1p</a></div><div class="ttdeci">fvar&lt; T &gt; log1p(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1p_8hpp_source.html#l00016">log1p.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p_8hpp.html">log1p.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m__exp_8hpp_source.html">stan/math/prim/scal/fun/log1m_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="calculate__chain_8hpp_source.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2log1m__exp_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:aab62e8d3067ce13dea1b2ee4f38618b1"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aab62e8d3067ce13dea1b2ee4f38618b1">stan::math::log1m_exp</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:aab62e8d3067ce13dea1b2ee4f38618b1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of 1 minus the exponential of the specified variable.  <a href="namespacestan_1_1math.html#aab62e8d3067ce13dea1b2ee4f38618b1">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2log1m__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_LOG1M_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_LOG1M_EXP_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a7760d28e8fddf268113469b44463de07"><div class="ttname"><a href="namespacestan_1_1math.html#a7760d28e8fddf268113469b44463de07">stan::math::log1m_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log1m_exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m__exp_8hpp_source.html#l00016">log1m_exp.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m__exp_8hpp.html">log1m_exp.hpp</a></div></div>
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+<div class="ttc" id="calculate__chain_8hpp_html"><div class="ttname"><a href="calculate__chain_8hpp.html">calculate_chain.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p_8hpp_source.html">stan/math/prim/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2log1p_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:a9851bec44891899ceacfc17ef6e86b21"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log (1 + x) function for variables (C99).  <a href="namespacestan_1_1math.html#a9851bec44891899ceacfc17ef6e86b21">More...</a><br /></td></tr>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">class </span>log1p_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2log1p_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p_8hpp.html">log1p.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p__exp_8hpp_source.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="calculate__chain_8hpp_source.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2log1p__exp_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:abaffb88be27fafab634c74e14508e0f3"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#abaffb88be27fafab634c74e14508e0f3">stan::math::log1p_exp</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:abaffb88be27fafab634c74e14508e0f3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log of 1 plus the exponential of the specified variable.  <a href="namespacestan_1_1math.html#abaffb88be27fafab634c74e14508e0f3">More...</a><br /></td></tr>
+<tr class="separator:abaffb88be27fafab634c74e14508e0f3"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="rev_2scal_2fun_2log1p__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_LOG1P_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_LOG1P_EXP_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p__exp_8hpp.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="calculate__chain_8hpp.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2log1p__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p__exp_8hpp.html">log1p_exp.hpp</a></div></div>
+<div class="ttc" id="calculate__chain_8hpp_html"><div class="ttname"><a href="calculate__chain_8hpp.html">calculate_chain.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log2_8hpp_source.html">stan/math/prim/scal/fun/log2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2log2_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:a6322be7704b2efc1e36951b46bb88568"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6322be7704b2efc1e36951b46bb88568">stan::math::log2</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:a6322be7704b2efc1e36951b46bb88568"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the base 2 logarithm of the specified variable (C99).  <a href="namespacestan_1_1math.html#a6322be7704b2efc1e36951b46bb88568">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2log2_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_LOG2_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">class </span>log2_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2log2_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log2_8hpp.html">log2.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
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+<tr class="memitem:a8a236280de2603e0ead1966468f0ceea"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8a236280de2603e0ead1966468f0ceea">stan::math::log</a> (const var &amp;a)</td></tr>
+<tr class="memdesc:a8a236280de2603e0ead1966468f0ceea"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the natural log of the specified variable (cmath).  <a href="namespacestan_1_1math.html#a8a236280de2603e0ead1966468f0ceea">More...</a><br /></td></tr>
+<tr class="separator:a8a236280de2603e0ead1966468f0ceea"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="rev_2scal_2fun_2log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_LOG_HPP</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;      <span class="keyword">class </span>log_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;        <span class="keyword">explicit</span> log_vari(vari* avi) :</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="calculate__chain_8hpp_source.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__diff__exp_8hpp_source.html">stan/math/prim/scal/fun/log_diff_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2log__diff__exp_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a43fccfff5553aa860351a147ab10e301"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a43fccfff5553aa860351a147ab10e301">stan::math::log_diff_exp</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:a43fccfff5553aa860351a147ab10e301"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="namespacestan_1_1math.html#a43fccfff5553aa860351a147ab10e301">More...</a><br /></td></tr>
+<tr class="separator:a43fccfff5553aa860351a147ab10e301"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a7a09bd43a4ade10703b6a1fb521d09e8"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7a09bd43a4ade10703b6a1fb521d09e8">stan::math::log_diff_exp</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const double &amp;b)</td></tr>
+<tr class="memdesc:a7a09bd43a4ade10703b6a1fb521d09e8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="namespacestan_1_1math.html#a7a09bd43a4ade10703b6a1fb521d09e8">More...</a><br /></td></tr>
+<tr class="separator:a7a09bd43a4ade10703b6a1fb521d09e8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a03afe35a61cd6068465799e22d600879"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a03afe35a61cd6068465799e22d600879">stan::math::log_diff_exp</a> (const double &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:a03afe35a61cd6068465799e22d600879"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="namespacestan_1_1math.html#a03afe35a61cd6068465799e22d600879">More...</a><br /></td></tr>
+<tr class="separator:a03afe35a61cd6068465799e22d600879"><td class="memSeparator" colspan="2">&#160;</td></tr>
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diff --git a/doc/api/html/rev_2scal_2fun_2log__diff__exp_8hpp_source.html b/doc/api/html/rev_2scal_2fun_2log__diff__exp_8hpp_source.html
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+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2log__diff__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_LOG_DIFF_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_LOG_DIFF_EXP_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="calculate__chain_8hpp.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__diff__exp_8hpp.html">stan/math/prim/scal/fun/log_diff_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/expm1.hpp&gt;</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keyword">class </span>log_diff_exp_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
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+<div class="ttc" id="calculate__chain_8hpp_html"><div class="ttname"><a href="calculate__chain_8hpp.html">calculate_chain.hpp</a></div></div>
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+<div class="title">log_falling_factorial.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__falling__factorial_8hpp_source.html">stan/math/prim/scal/fun/log_falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2log__falling__factorial_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a6f5951b9e0e640a8f2f53348015387c4"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6f5951b9e0e640a8f2f53348015387c4">stan::math::log_falling_factorial</a> (const var &amp;a, const double &amp;b)</td></tr>
+<tr class="separator:a6f5951b9e0e640a8f2f53348015387c4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a1a6fbe2cf74d7dc89d10999d512c3efd"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">log_falling_factorial.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2log__falling__factorial_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_LOG_FALLING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_LOG_FALLING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__falling__factorial_8hpp.html">stan/math/prim/scal/fun/log_falling_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">class </span>log_falling_factorial_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        log_falling_factorial_vv_vari(vari* avi, vari* bvi) :</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;          op_vv_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">log_falling_factorial</a>(avi-&gt;val_, bvi-&gt;val_),</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                     avi, bvi) {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        }</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(avi_-&gt;val_)</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                       || <a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(bvi_-&gt;val_))) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;            avi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;            bvi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;          } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;            avi_-&gt;adj_ += adj_</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;              * (<a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>(avi_-&gt;val_ + 1)</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                 - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>(avi_-&gt;val_ - bvi_-&gt;val_ + 1));</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;            bvi_-&gt;adj_ += adj_</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;              * <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>(avi_-&gt;val_ - bvi_-&gt;val_ + 1);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;          }</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        }</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      };</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">class </span>log_falling_factorial_vd_vari : <span class="keyword">public</span> op_vd_vari {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        log_falling_factorial_vd_vari(vari* avi, <span class="keywordtype">double</span> b) :</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;          op_vd_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">log_falling_factorial</a>(avi-&gt;val_, b), avi, b) {</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(avi_-&gt;val_)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                       || <a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(bd_)))</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            avi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;          <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            avi_-&gt;adj_ += adj_</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;              * (<a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>(avi_-&gt;val_ + 1)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                 - <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>(avi_-&gt;val_ - bd_ + 1));</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      };</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">class </span>log_falling_factorial_dv_vari : <span class="keyword">public</span> op_dv_vari {</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        log_falling_factorial_dv_vari(<span class="keywordtype">double</span> a, vari* bvi) :</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;          op_dv_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">log_falling_factorial</a>(a, bvi-&gt;val_), a, bvi) {</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(ad_)</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                       || <a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(bvi_-&gt;val_)))</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            bvi_-&gt;adj_ = std::numeric_limits&lt;double&gt;::quiet_NaN();</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;          <span class="keywordflow">else</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            bvi_-&gt;adj_ += adj_</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;              * <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">boost::math::digamma</a>(ad_ - bvi_-&gt;val_ + 1);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        }</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      };</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6f5951b9e0e640a8f2f53348015387c4">   68</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">log_falling_factorial</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a,</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;                                     <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; b) {</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> log_falling_factorial_vd_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, b));</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1a6fbe2cf74d7dc89d10999d512c3efd">   73</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">log_falling_factorial</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a,</div>
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+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> log_falling_factorial_vv_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, b.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    }</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a599bc1031e28ecc3cc192b07bdced6ed">   78</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">log_falling_factorial</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; a,</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                                     <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; b) {</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> log_falling_factorial_dv_vari(a, b.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    }</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;  }</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;}</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a58e4116dfd00db87062ef7c0f76e8c27"><div class="ttname"><a href="namespacestan_1_1math.html#a58e4116dfd00db87062ef7c0f76e8c27">stan::math::log_falling_factorial</a></div><div class="ttdeci">fvar&lt; T &gt; log_falling_factorial(const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log__falling__factorial_8hpp_source.html#l00015">log_falling_factorial.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a9ec9f6ad1870e35178068fd12a0d04ea"><div class="ttname"><a href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a></div><div class="ttdeci">bool isnan(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is NaN. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isnan_8hpp_source.html#l00022">boost_isnan.hpp:22</a></div></div>
+<div class="ttc" id="likely_8hpp_html_a58059a6664c486561d2641a07440ad1a"><div class="ttname"><a href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a></div><div class="ttdeci">#define unlikely(x)  </div><div class="ttdef"><b>Definition:</b> <a href="likely_8hpp_source.html#l00009">likely.hpp:9</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__falling__factorial_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__falling__factorial_8hpp.html">log_falling_factorial.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__mix_8hpp_source.html">stan/math/prim/scal/fun/log_mix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2log__mix_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a8b3e6e5267f60e3537dd8bdd0299a3ee"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8b3e6e5267f60e3537dd8bdd0299a3ee">stan::math::log_mix_partial_helper</a> (const double &amp;theta_val, const double &amp;lambda1_val, const double &amp;lambda2_val, double &amp;one_m_exp_lam2_m_lam1, double &amp;one_m_t_prod_exp_lam2_m_lam1, double &amp;one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1)</td></tr>
+<tr class="separator:a8b3e6e5267f60e3537dd8bdd0299a3ee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a91f87ac712232f684f398ff5e5865887"><td class="memTemplParams" colspan="2">template&lt;typename T_theta , typename T_lambda1 , typename T_lambda2 &gt; </td></tr>
+<tr class="memitem:a91f87ac712232f684f398ff5e5865887"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_theta, T_lambda1, T_lambda2 &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a91f87ac712232f684f398ff5e5865887">stan::math::log_mix</a> (const T_theta &amp;theta, const T_lambda1 &amp;lambda1, const T_lambda2 &amp;lambda2)</td></tr>
+<tr class="memdesc:a91f87ac712232f684f398ff5e5865887"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the log mixture density with specified mixing proportion and log densities and its derivative at each.  <a href="namespacestan_1_1math.html#a91f87ac712232f684f398ff5e5865887">More...</a><br /></td></tr>
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diff --git a/doc/api/html/rev_2scal_2fun_2log__mix_8hpp_source.html b/doc/api/html/rev_2scal_2fun_2log__mix_8hpp_source.html
new file mode 100644
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+<div class="title">log_mix.hpp</div>  </div>
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+<a href="rev_2scal_2fun_2log__mix_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_LOG_MIX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_LOG_MIX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__mix_8hpp.html">stan/math/prim/scal/fun/log_mix.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2value__of_8hpp.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="comment">/* Computes shared terms in log_mix partial derivative calculations</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">     *</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">     * @param[in] theta_val value of mixing proportion theta.</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">     * @param[in] lambda1_val value of log density multiplied by theta.</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">     * @param[in] lambda2_val value of log density multiplied by 1 - theta.</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment">     * @param[out] one_m_exp_lam2_m_lam1 shared term in deriv calculation.</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment">     * @param[out] one_m_t_prod_exp_lam2_m_lam1 shared term in deriv calculation.</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment">     * @param[out] one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1 shared term in deriv calculation.</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment">     */</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">void</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8b3e6e5267f60e3537dd8bdd0299a3ee">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a23c2aeab81ef4820c6df233e1d35a3a9">log_mix_partial_helper</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; theta_val,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                           <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; lambda1_val,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                           <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; lambda2_val,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                           <span class="keywordtype">double</span>&amp; one_m_exp_lam2_m_lam1,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                           <span class="keywordtype">double</span>&amp; one_m_t_prod_exp_lam2_m_lam1,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                           <span class="keywordtype">double</span>&amp; one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;        <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        <span class="keywordtype">double</span> lam2_m_lam1 = lambda2_val - lambda1_val;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="keywordtype">double</span> exp_lam2_m_lam1 = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(lam2_m_lam1);</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        one_m_exp_lam2_m_lam1 = 1 - exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordtype">double</span> one_m_t = 1 - theta_val;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        one_m_t_prod_exp_lam2_m_lam1 = one_m_t * exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;          = 1 / (theta_val + one_m_t_prod_exp_lam2_m_lam1);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_theta,</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;              <span class="keyword">typename</span> T_lambda1,</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;              <span class="keyword">typename</span> T_lambda2&gt;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_theta, T_lambda1, T_lambda2&gt;::type</a></div>
+<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a91f87ac712232f684f398ff5e5865887">   88</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">log_mix</a>(<span class="keyword">const</span> T_theta&amp; theta,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;            <span class="keyword">const</span> T_lambda1&amp; lambda1,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;            <span class="keyword">const</span> T_lambda2&amp; lambda2) {</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">stan::math::log_mix</a>;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_theta, T_lambda1, T_lambda2&gt;</a></div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        operands_and_partials(theta, lambda1, lambda2);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keywordtype">double</span> theta_double = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> lambda1_double = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda1);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> lambda2_double = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(lambda2);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keywordtype">double</span> log_mix_function_value</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        = <a class="code" href="namespacestan_1_1math.html#a014f4431773309ae7fd1420b0f6aa99f">log_mix</a>(theta_double, lambda1_double, lambda2_double);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <span class="keywordtype">double</span> one_m_exp_lam2_m_lam1(0.0);</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keywordtype">double</span> one_m_t_prod_exp_lam2_m_lam1(0.0);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordtype">double</span> one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1(0.0);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keywordflow">if</span> (lambda1 &gt; lambda2) {</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a23c2aeab81ef4820c6df233e1d35a3a9">log_mix_partial_helper</a>(theta_double,</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;                                   lambda1_double,</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                                   lambda2_double,</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                                   one_m_exp_lam2_m_lam1,</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                                   one_m_t_prod_exp_lam2_m_lam1,</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                                   one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a23c2aeab81ef4820c6df233e1d35a3a9">log_mix_partial_helper</a>(1.0 - theta_double,</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;                                   lambda2_double,</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                                   lambda1_double,</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;                                   one_m_exp_lam2_m_lam1,</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                                   one_m_t_prod_exp_lam2_m_lam1,</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                                   one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1);</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        one_m_exp_lam2_m_lam1 = -one_m_exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        theta_double = one_m_t_prod_exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        one_m_t_prod_exp_lam2_m_lam1 = 1.0 - <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(theta);</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      }</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_theta&gt;::value</a>)</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[0]</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;          = one_m_exp_lam2_m_lam1</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;          * one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_lambda1&gt;::value</a>)</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[0]</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;          = theta_double</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;          * one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_lambda2&gt;::value</a>)</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[0]</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;          = one_m_t_prod_exp_lam2_m_lam1</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;          * one_d_t_plus_one_m_t_prod_exp_lam2_m_lam1;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(log_mix_function_value);</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    }</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;  }  <span class="comment">// namespace math</span></div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;}  <span class="comment">// namespace stan</span></div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__mix_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__mix_8hpp.html">log_mix.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a23c2aeab81ef4820c6df233e1d35a3a9"><div class="ttname"><a href="namespacestan_1_1math.html#a23c2aeab81ef4820c6df233e1d35a3a9">stan::math::log_mix_partial_helper</a></div><div class="ttdeci">void log_mix_partial_helper(const T_theta &amp;theta, const T_lambda1 &amp;lambda1, const T_lambda2 &amp;lambda2, typename boost::math::tools::promote_args&lt; T_theta, T_lambda1, T_lambda2 &gt;::type(&amp;partials_array)[N])</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log__mix_8hpp_source.html#l00029">log_mix.hpp:29</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__rising__factorial_8hpp_source.html">stan/math/prim/scal/fun/log_rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2digamma_8hpp_source.html">stan/math/rev/scal/fun/digamma.hpp</a>&gt;</code><br />
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+<a href="rev_2scal_2fun_2log__rising__factorial_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_LOG_RISING_FACTORIAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_LOG_RISING_FACTORIAL_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="rev_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__rising__factorial_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__rising__factorial_8hpp.html">log_rising_factorial.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa4aff0dd42a2b0b33ac55e9a45f35b1e"><div class="ttname"><a href="namespacestan_1_1math.html#aa4aff0dd42a2b0b33ac55e9a45f35b1e">stan::math::log_rising_factorial</a></div><div class="ttdeci">fvar&lt; T &gt; log_rising_factorial(const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log__rising__factorial_8hpp_source.html#l00016">log_rising_factorial.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">log_sum_exp.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="calculate__chain_8hpp_source.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log__sum__exp_8hpp_source.html">stan/math/prim/scal/fun/log_sum_exp.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2log__sum__exp_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a50e133913e946710e85efc00306a2610"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a50e133913e946710e85efc00306a2610">stan::math::log_sum_exp</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:a50e133913e946710e85efc00306a2610"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="namespacestan_1_1math.html#a50e133913e946710e85efc00306a2610">More...</a><br /></td></tr>
+<tr class="separator:a50e133913e946710e85efc00306a2610"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3c2ea975711d2420728cce2878bca93c"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3c2ea975711d2420728cce2878bca93c">stan::math::log_sum_exp</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a, const double &amp;b)</td></tr>
+<tr class="memdesc:a3c2ea975711d2420728cce2878bca93c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="namespacestan_1_1math.html#a3c2ea975711d2420728cce2878bca93c">More...</a><br /></td></tr>
+<tr class="separator:a3c2ea975711d2420728cce2878bca93c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a04418b73a6d6efd660a67d9af4546840"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a04418b73a6d6efd660a67d9af4546840">stan::math::log_sum_exp</a> (const double &amp;a, const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;b)</td></tr>
+<tr class="memdesc:a04418b73a6d6efd660a67d9af4546840"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the log sum of exponentials.  <a href="namespacestan_1_1math.html#a04418b73a6d6efd660a67d9af4546840">More...</a><br /></td></tr>
+<tr class="separator:a04418b73a6d6efd660a67d9af4546840"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">log_sum_exp.hpp</div>  </div>
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+<div class="contents">
+<a href="rev_2scal_2fun_2log__sum__exp_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_LOG_SUM_EXP_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_LOG_SUM_EXP_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="calculate__chain_8hpp.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log__sum__exp_8hpp.html">stan/math/prim/scal/fun/log_sum_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">class </span>log_sum_exp_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;        log_sum_exp_vv_vari(vari* avi, vari* bvi) :</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;          op_vv_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(avi-&gt;val_, bvi-&gt;val_),</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;                     avi, bvi) {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;          avi_-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">calculate_chain</a>(avi_-&gt;val_, val_);</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;          bvi_-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">calculate_chain</a>(bvi_-&gt;val_, val_);</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        }</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      };</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;      <span class="keyword">class </span>log_sum_exp_vd_vari : <span class="keyword">public</span> op_vd_vari {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        log_sum_exp_vd_vari(vari* avi, <span class="keywordtype">double</span> b) :</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;          op_vd_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(avi-&gt;val_, b),</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                     avi, b) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        }</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;          avi_-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">calculate_chain</a>(avi_-&gt;val_, val_);</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        }</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      };</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">class </span>log_sum_exp_dv_vari : <span class="keyword">public</span> op_dv_vari {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        log_sum_exp_dv_vari(<span class="keywordtype">double</span> a, vari* bvi) :</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;          op_dv_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(a, bvi-&gt;val_),</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                     a, bvi) {</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;          bvi_-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">calculate_chain</a>(bvi_-&gt;val_, val_);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        }</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      };</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a50e133913e946710e85efc00306a2610">   50</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>&amp; a,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                           <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>&amp; b) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> log_sum_exp_vv_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, b.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    }</div>
+<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3c2ea975711d2420728cce2878bca93c">   57</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>&amp; a,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                           <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; b) {</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> log_sum_exp_vd_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, b));</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    }</div>
+<div class="line"><a name="l00064"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a04418b73a6d6efd660a67d9af4546840">   64</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">log_sum_exp</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; a,</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                           <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>&amp; b) {</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> log_sum_exp_dv_vari(a, b.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    }</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;  }</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;}</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac86474622fba4524c529c4b8024e4ceb"><div class="ttname"><a href="namespacestan_1_1math.html#ac86474622fba4524c529c4b8024e4ceb">stan::math::log_sum_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log_sum_exp(const std::vector&lt; fvar&lt; T &gt; &gt; &amp;v)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00014">log_sum_exp.hpp:14</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log__sum__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log__sum__exp_8hpp.html">log_sum_exp.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab9b0e3e51b5cc7ab1da287369ff754d7"><div class="ttname"><a href="namespacestan_1_1math.html#ab9b0e3e51b5cc7ab1da287369ff754d7">stan::math::calculate_chain</a></div><div class="ttdeci">double calculate_chain(const double &amp;x, const double &amp;val)</div><div class="ttdef"><b>Definition:</b> <a href="calculate__chain_8hpp_source.html#l00008">calculate_chain.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="calculate__chain_8hpp_html"><div class="ttname"><a href="calculate__chain_8hpp.html">calculate_chain.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">stan/math/prim/scal/fun/modified_bessel_first_kind.hpp</a>&gt;</code><br />
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+<div class="title">modified_bessel_first_kind.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2modified__bessel__first__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">class </span>modified_bessel_first_kind_dv_vari : <span class="keyword">public</span> op_dv_vari {</div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;        modified_bessel_first_kind_dv_vari(<span class="keywordtype">int</span> a, vari* bvi) :</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        }</div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;            * (-ad_ * <a class="code" href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">stan::math::modified_bessel_first_kind</a>(ad_, bvi_-&gt;val_)</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  }</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;}</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp.html">modified_bessel_first_kind.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_adcb3160540f6fe745abb846df2174742"><div class="ttname"><a href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">stan::math::modified_bessel_first_kind</a></div><div class="ttdeci">fvar&lt; T &gt; modified_bessel_first_kind(int v, const fvar&lt; T &gt; &amp;z)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html#l00015">modified_bessel_first_kind.hpp:15</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html">stan/math/prim/scal/fun/modified_bessel_second_kind.hpp</a>&gt;</code><br />
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+<a href="rev_2scal_2fun_2modified__bessel__second__kind_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_MODIFIED_BESSEL_SECOND_KIND_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_MODIFIED_BESSEL_SECOND_KIND_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2modified__bessel__second__kind_8hpp.html">stan/math/prim/scal/fun/modified_bessel_second_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">class </span>modified_bessel_second_kind_dv_vari : <span class="keyword">public</span> op_dv_vari {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;        modified_bessel_second_kind_dv_vari(<span class="keywordtype">int</span> a, vari* bvi) :</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        }</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;          bvi_-&gt;adj_ -= adj_</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;            * (ad_ * <a class="code" href="namespacestan_1_1math.html#a3277f8bf3ed3b3e36a61dedd4ed0449b">stan::math::modified_bessel_second_kind</a>(ad_, bvi_-&gt;val_)</div>
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+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1f39f5d25033d6fb49cf875cc18fa956">   27</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a3277f8bf3ed3b3e36a61dedd4ed0449b">modified_bessel_second_kind</a>(<span class="keyword">const</span> <span class="keywordtype">int</span>&amp; v,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                                           <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a) {</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  }</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;}</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3277f8bf3ed3b3e36a61dedd4ed0449b"><div class="ttname"><a href="namespacestan_1_1math.html#a3277f8bf3ed3b3e36a61dedd4ed0449b">stan::math::modified_bessel_second_kind</a></div><div class="ttdeci">fvar&lt; T &gt; modified_bessel_second_kind(int v, const fvar&lt; T &gt; &amp;z)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html#l00015">modified_bessel_second_kind.hpp:15</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2modified__bessel__second__kind_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2modified__bessel__second__kind_8hpp.html">modified_bessel_second_kind.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log_8hpp_source.html">stan/math/rev/scal/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a3da7e77b75bf5f288ddc7c546f941c70"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3da7e77b75bf5f288ddc7c546f941c70">stan::math::multiply_log</a> (const var &amp;a, const var &amp;b)</td></tr>
+<tr class="memdesc:a3da7e77b75bf5f288ddc7c546f941c70"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of a*log(b).  <a href="namespacestan_1_1math.html#a3da7e77b75bf5f288ddc7c546f941c70">More...</a><br /></td></tr>
+<tr class="separator:a3da7e77b75bf5f288ddc7c546f941c70"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa05bd638024e60440e56c8ee4a0dbab3"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa05bd638024e60440e56c8ee4a0dbab3">stan::math::multiply_log</a> (const var &amp;a, const double b)</td></tr>
+<tr class="memdesc:aa05bd638024e60440e56c8ee4a0dbab3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of a*log(b).  <a href="namespacestan_1_1math.html#aa05bd638024e60440e56c8ee4a0dbab3">More...</a><br /></td></tr>
+<tr class="separator:aa05bd638024e60440e56c8ee4a0dbab3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3c980d72501fd340f6148c125c1da018"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3c980d72501fd340f6148c125c1da018">stan::math::multiply_log</a> (const double a, const var &amp;b)</td></tr>
+<tr class="memdesc:a3c980d72501fd340f6148c125c1da018"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of a*log(b).  <a href="namespacestan_1_1math.html#a3c980d72501fd340f6148c125c1da018">More...</a><br /></td></tr>
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+<div class="title">multiply_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="rev_2scal_2fun_2multiply__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_MULTIPLY_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_MULTIPLY_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2log_8hpp.html">stan/math/rev/scal/fun/log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;      <span class="keyword">class </span>multiply_log_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        multiply_log_vv_vari(vari* avi, vari* bvi) :</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;          op_vv_vari(<a class="code" href="namespacestan.html">stan</a>::math::<a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">multiply_log</a>(avi-&gt;val_, bvi-&gt;val_), avi, bvi) {</div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;          <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(<a class="code" href="namespaceboost_1_1math.html#a9ec9f6ad1870e35178068fd12a0d04ea">boost::math::isnan</a>(avi_-&gt;val_)</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a055efd6bb49a1df5ea4da98d1078d0e6"><div class="ttname"><a href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a></div><div class="ttdeci">fvar&lt; T &gt; multiply_log(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2multiply__log_8hpp_source.html#l00015">multiply_log.hpp:15</a></div></div>
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+<div class="title">owens_t.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/owens_t.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2owens__t_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a3a3be132b9586de8773f1489ad485e0a"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3a3be132b9586de8773f1489ad485e0a">stan::math::owens_t</a> (const var &amp;h, const var &amp;a)</td></tr>
+<tr class="memdesc:a3a3be132b9586de8773f1489ad485e0a"><td class="mdescLeft">&#160;</td><td class="mdescRight">The Owen's T function of h and a.  <a href="namespacestan_1_1math.html#a3a3be132b9586de8773f1489ad485e0a">More...</a><br /></td></tr>
+<tr class="separator:a3a3be132b9586de8773f1489ad485e0a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa226754d101430c9bdf91ece0a9eb1d7"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa226754d101430c9bdf91ece0a9eb1d7">stan::math::owens_t</a> (const var &amp;h, double a)</td></tr>
+<tr class="memdesc:aa226754d101430c9bdf91ece0a9eb1d7"><td class="mdescLeft">&#160;</td><td class="mdescRight">The Owen's T function of h and a.  <a href="namespacestan_1_1math.html#aa226754d101430c9bdf91ece0a9eb1d7">More...</a><br /></td></tr>
+<tr class="separator:aa226754d101430c9bdf91ece0a9eb1d7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1a8dab8811eeb8705651daeefc449816"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1a8dab8811eeb8705651daeefc449816">stan::math::owens_t</a> (double h, const var &amp;a)</td></tr>
+<tr class="memdesc:a1a8dab8811eeb8705651daeefc449816"><td class="mdescLeft">&#160;</td><td class="mdescRight">The Owen's T function of h and a.  <a href="namespacestan_1_1math.html#a1a8dab8811eeb8705651daeefc449816">More...</a><br /></td></tr>
+<tr class="separator:a1a8dab8811eeb8705651daeefc449816"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="rev_2scal_2fun_2owens__t_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_OWENS_T_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_OWENS_T_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/owens_t.hpp&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#ifdef _MSC_VER</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/erf.hpp&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">boost::math::erf</a>;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">class </span>owens_t_vv_vari : <span class="keyword">public</span> op_vv_vari {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        owens_t_vv_vari(vari* avi, vari* bvi) :</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;          op_vv_vari(<a class="code" href="namespaceboost.html">boost</a>::math::<a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(avi-&gt;val_, bvi-&gt;val_), avi, bvi) {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        }</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;          <span class="keyword">const</span> <span class="keywordtype">double</span> neg_avi_sq_div_2 = -<a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(avi_-&gt;val_) * 0.5;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;          <span class="keyword">const</span> <span class="keywordtype">double</span> one_p_bvi_sq = 1.0 + <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(bvi_-&gt;val_);</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;          avi_-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">::erf</a>(bvi_-&gt;val_ * avi_-&gt;val_ * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>(neg_avi_sq_div_2) * <a class="code" href="namespacestan_1_1math.html#a44d54686aa26009d0e9101be42afd877">INV_SQRT_TWO_PI</a> * -0.5;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;          bvi_-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>(neg_avi_sq_div_2 * one_p_bvi_sq)</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;            / (one_p_bvi_sq * 2.0 * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>());</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        }</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      };</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">class </span>owens_t_vd_vari : <span class="keyword">public</span> op_vd_vari {</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        owens_t_vd_vari(vari* avi, <span class="keywordtype">double</span> b) :</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;          op_vd_vari(<a class="code" href="namespaceboost.html">boost</a>::math::<a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(avi-&gt;val_, b), avi, b) {</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;          avi_-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">::erf</a>(bd_ * avi_-&gt;val_ * <a class="code" href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">INV_SQRT_2</a>)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>(-<a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(avi_-&gt;val_) * 0.5)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a44d54686aa26009d0e9101be42afd877">INV_SQRT_TWO_PI</a> * -0.5;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      };</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">class </span>owens_t_dv_vari : <span class="keyword">public</span> op_dv_vari {</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        owens_t_dv_vari(<span class="keywordtype">double</span> a, vari* bvi) :</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;          op_dv_vari(<a class="code" href="namespaceboost.html">boost</a>::math::<a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(a, bvi-&gt;val_), a, bvi) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        }</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;          <span class="keyword">const</span> <span class="keywordtype">double</span> one_p_bvi_sq = 1.0 + <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(bvi_-&gt;val_);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;          bvi_-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>(-0.5 * <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(ad_) * one_p_bvi_sq)</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;            / (one_p_bvi_sq * 2.0 * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>());</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        }</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      };</div>
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+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3a3be132b9586de8773f1489ad485e0a">   71</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; h, <span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a) {</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> owens_t_vv_vari(h.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    }</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa226754d101430c9bdf91ece0a9eb1d7">   85</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; h, <span class="keywordtype">double</span> a) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> owens_t_vd_vari(h.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>, a));</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    }</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
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+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> owens_t_dv_vari(h, a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  }</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;}</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_a44d54686aa26009d0e9101be42afd877"><div class="ttname"><a href="namespacestan_1_1math.html#a44d54686aa26009d0e9101be42afd877">stan::math::INV_SQRT_TWO_PI</a></div><div class="ttdeci">const double INV_SQRT_TWO_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00166">constants.hpp:166</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespaceboost_html"><div class="ttname"><a href="namespaceboost.html">boost</a></div><div class="ttdoc">Reimplementing boost functionality. </div><div class="ttdef"><b>Definition:</b> <a href="boost__fpclassify_8hpp_source.html#l00007">boost_fpclassify.hpp:7</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa283efca22c0544054a6534443e6e762"><div class="ttname"><a href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math::erf</a></div><div class="ttdeci">fvar&lt; T &gt; erf(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erf_8hpp_source.html#l00014">erf.hpp:14</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9b09a69d6aeee461a009b6355889e9e4"><div class="ttname"><a href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">stan::math::owens_t</a></div><div class="ttdeci">fvar&lt; T &gt; owens_t(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2owens__t_8hpp_source.html#l00014">owens_t.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5491e346d5a812af988f8de4a5948c88"><div class="ttname"><a href="namespacestan_1_1math.html#a5491e346d5a812af988f8de4a5948c88">stan::math::INV_SQRT_2</a></div><div class="ttdeci">const double INV_SQRT_2</div><div class="ttdoc">The value of 1 over the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00027">constants.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa2ffd66726e0532160e16e6b48d6f428"><div class="ttname"><a href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a></div><div class="ttdeci">double pi()</div><div class="ttdoc">Return the value of pi. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00086">constants.hpp:86</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2sqrt_8hpp_source.html">stan/math/rev/scal/fun/sqrt.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
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+<tr class="memdesc:a32adb49018d9fd61d3c568d1edcdb3c0"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the base raised to the power of the exponent (cmath).  <a href="namespacestan_1_1math.html#a32adb49018d9fd61d3c568d1edcdb3c0">More...</a><br /></td></tr>
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+<tr class="memdesc:aff1b3f97cd1cf4c7391d160f9a3db4f6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the base variable raised to the power of the exponent scalar (cmath).  <a href="namespacestan_1_1math.html#aff1b3f97cd1cf4c7391d160f9a3db4f6">More...</a><br /></td></tr>
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+<tr class="memdesc:a52dafae271ea06210bf3cbe2545ead16"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the base scalar raised to the power of the exponent variable (cmath).  <a href="namespacestan_1_1math.html#a52dafae271ea06210bf3cbe2545ead16">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2pow_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_POW_HPP</span></div>
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+<div class="ttc" id="rev_2scal_2fun_2sqrt_8hpp_html"><div class="ttname"><a href="rev_2scal_2fun_2sqrt_8hpp.html">sqrt.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">primitive_value.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2primitive__value_8hpp_source.html">stan/math/prim/scal/fun/primitive_value.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2primitive__value_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a0ccbe1638f463027973553dec7175dbc"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0ccbe1638f463027973553dec7175dbc">stan::math::primitive_value</a> (const var &amp;v)</td></tr>
+<tr class="memdesc:a0ccbe1638f463027973553dec7175dbc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the primitive double value for the specified auto-diff variable.  <a href="namespacestan_1_1math.html#a0ccbe1638f463027973553dec7175dbc">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2primitive__value_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2primitive__value_8hpp.html">primitive_value.hpp</a></div></div>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_RISING_FACTORIAL_HPP</span></div>
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+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2rising__factorial_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2rising__factorial_8hpp.html">rising_factorial.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac5aa264060b3c4ed7954f07dc0fcf138"><div class="ttname"><a href="namespacestan_1_1math.html#ac5aa264060b3c4ed7954f07dc0fcf138">stan::math::rising_factorial</a></div><div class="ttdeci">fvar&lt; T &gt; rising_factorial(const fvar&lt; T &gt; &amp;x, const fvar&lt; T &gt; &amp;n)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2rising__factorial_8hpp_source.html#l00016">rising_factorial.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;math.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2round_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:ab259f70f4c7ebcdf3e032f01efb66c02"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab259f70f4c7ebcdf3e032f01efb66c02">stan::math::round</a> (const var &amp;a)</td></tr>
+<tr class="memdesc:ab259f70f4c7ebcdf3e032f01efb66c02"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the rounded form of the specified variable (C99).  <a href="namespacestan_1_1math.html#ab259f70f4c7ebcdf3e032f01efb66c02">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2round_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_ROUND_HPP</span></div>
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+<div class="ttc" id="likely_8hpp_html_a58059a6664c486561d2641a07440ad1a"><div class="ttname"><a href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a></div><div class="ttdeci">#define unlikely(x)  </div><div class="ttdef"><b>Definition:</b> <a href="likely_8hpp_source.html#l00009">likely.hpp:9</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<tr class="memitem:ae306538402ac590b8b84e6ed58989629"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae306538402ac590b8b84e6ed58989629">stan::math::sin</a> (const var &amp;a)</td></tr>
+<tr class="memdesc:ae306538402ac590b8b84e6ed58989629"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the sine of a radian-scaled variable (cmath).  <a href="namespacestan_1_1math.html#ae306538402ac590b8b84e6ed58989629">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2sin_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_SIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_SIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;      <span class="keyword">class </span>sin_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;        <span class="keyword">explicit</span> sin_vari(vari* avi) :</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;          avi_-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#ae6cb3a9041ae0b7855b398c3e11cda48">std::cos</a>(avi_-&gt;val_);</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      };</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    }</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
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+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> sin_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  }</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;}</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae6cb3a9041ae0b7855b398c3e11cda48"><div class="ttname"><a href="namespacestan_1_1math.html#ae6cb3a9041ae0b7855b398c3e11cda48">stan::math::cos</a></div><div class="ttdeci">fvar&lt; T &gt; cos(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2cos_8hpp_source.html#l00013">cos.hpp:13</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aff3f2dd84567a0566cfdd7eb10e13607"><div class="ttname"><a href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">stan::math::sin</a></div><div class="ttdeci">fvar&lt; T &gt; sin(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sin_8hpp_source.html#l00014">sin.hpp:14</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;valarray&gt;</code><br />
+</div>
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+<tr class="memdesc:a241b79300774f40a6e67b7156b494462"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the hyperbolic sine of the specified variable (cmath).  <a href="namespacestan_1_1math.html#a241b79300774f40a6e67b7156b494462">More...</a><br /></td></tr>
+<tr class="separator:a241b79300774f40a6e67b7156b494462"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="rev_2scal_2fun_2sinh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_SINH_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_SINH_HPP</span></div>
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+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;      <span class="keyword">class </span>sinh_vari : <span class="keyword">public</span> op_v_vari {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;        <span class="keyword">explicit</span> sinh_vari(vari* avi) :</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;          op_v_vari(<a class="code" href="namespacestd.html">std</a>::<a class="code" href="namespacestan_1_1math.html#a646a34790ca2b692b2a8c74c4e4fb726">sinh</a>(avi-&gt;val_), avi) {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;        }</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;          avi_-&gt;adj_ += adj_ * <a class="code" href="namespacestan_1_1math.html#aee4fa5213b343a52756c138107ac180b">std::cosh</a>(avi_-&gt;val_);</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      };</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    }</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a241b79300774f40a6e67b7156b494462">   49</a></span>&#160;    <span class="keyword">inline</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a> <a class="code" href="namespacestan_1_1math.html#a646a34790ca2b692b2a8c74c4e4fb726">sinh</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>&amp; a) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1var.html">var</a>(<span class="keyword">new</span> sinh_vari(a.<a class="code" href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">vi_</a>));</div>
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+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;}</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aee4fa5213b343a52756c138107ac180b"><div class="ttname"><a href="namespacestan_1_1math.html#aee4fa5213b343a52756c138107ac180b">stan::math::cosh</a></div><div class="ttdeci">fvar&lt; T &gt; cosh(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2cosh_8hpp_source.html#l00013">cosh.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a646a34790ca2b692b2a8c74c4e4fb726"><div class="ttname"><a href="namespacestan_1_1math.html#a646a34790ca2b692b2a8c74c4e4fb726">stan::math::sinh</a></div><div class="ttdeci">fvar&lt; T &gt; sinh(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sinh_8hpp_source.html#l00014">sinh.hpp:14</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:ab438f4b0a11d8551fe5605237f655730"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the square root of the specified variable (cmath).  <a href="namespacestan_1_1math.html#ab438f4b0a11d8551fe5605237f655730">More...</a><br /></td></tr>
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+<div class="title">sqrt.hpp</div>  </div>
+</div><!--header-->
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+<a href="rev_2scal_2fun_2sqrt_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_SQRT_HPP</span></div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;        <span class="keyword">explicit</span> sqrt_vari(vari* avi) :</div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
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+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      };</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
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+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;  }</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;}</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_20b155cb57d7a56b3d8d0cc440c20c67.html">scal</a></li><li class="navelem"><a class="el" href="dir_148120812de7344119b120632cfcec74.html">fun</a></li>  </ul>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2fun_2square_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:aa1b349cd070427c412c2c0a0d32327b5"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa1b349cd070427c412c2c0a0d32327b5">stan::math::square</a> (const var &amp;x)</td></tr>
+<tr class="memdesc:aa1b349cd070427c412c2c0a0d32327b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the square of the input variable.  <a href="namespacestan_1_1math.html#aa1b349cd070427c412c2c0a0d32327b5">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2square_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_SQUARE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_SQUARE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;      <span class="keyword">class </span>square_vari : <span class="keyword">public</span> op_v_vari {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;        <span class="keyword">explicit</span> square_vari(vari* avi) :</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;          op_v_vari(avi-&gt;val_ * avi-&gt;val_, avi) {</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;        }</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;          avi_-&gt;adj_ += adj_ * 2.0 * avi_-&gt;val_;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        }</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      };</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<tr class="memdesc:a8a7c701333f443140d6d4bfdde5b15b3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the step, or heaviside, function applied to the specified variable (stan).  <a href="namespacestan_1_1math.html#a8a7c701333f443140d6d4bfdde5b15b3">More...</a><br /></td></tr>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
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+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
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+<tr class="memdesc:adf8320fd61a3c0c73f2ab8d78d949e58"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the tangent of a radian-scaled variable (cmath).  <a href="namespacestan_1_1math.html#adf8320fd61a3c0c73f2ab8d78d949e58">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2tan_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_TAN_HPP</span></div>
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+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;      <span class="keyword">class </span>tan_vari : <span class="keyword">public</span> op_v_vari {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;        <span class="keyword">explicit</span> tan_vari(vari* avi) :</div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;        }</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;          avi_-&gt;adj_ += adj_ * (1.0 + val_ * val_);</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;        }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;      };</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    }</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  }</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;}</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae09b685b660830075f80caaf8a350676"><div class="ttname"><a href="namespacestan_1_1math.html#ae09b685b660830075f80caaf8a350676">stan::math::tan</a></div><div class="ttdeci">fvar&lt; T &gt; tan(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2tan_8hpp_source.html#l00014">tan.hpp:14</a></div></div>
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+<a href="rev_2scal_2fun_2tanh_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_TANH_HPP</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;      <span class="keyword">class </span>tanh_vari : <span class="keyword">public</span> op_v_vari {</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae11dc45fd471bec1a19462ce58f434b8"><div class="ttname"><a href="namespacestan_1_1math.html#ae11dc45fd471bec1a19462ce58f434b8">stan::math::tanh</a></div><div class="ttdeci">fvar&lt; T &gt; tanh(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2tanh_8hpp_source.html#l00014">tanh.hpp:14</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/special_functions/digamma.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<tr class="memdesc:af27ba386c3836a69c7d270f89c946268"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the Gamma function applied to the specified variable (C99).  <a href="namespacestan_1_1math.html#af27ba386c3836a69c7d270f89c946268">More...</a><br /></td></tr>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/special_functions/digamma.hpp&gt;</span></div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;        <span class="keyword">explicit</span> tgamma_vari(vari* avi) :</div>
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+<div class="ttc" id="namespaceboost_html"><div class="ttname"><a href="namespaceboost.html">boost</a></div><div class="ttdoc">Reimplementing boost functionality. </div><div class="ttdef"><b>Definition:</b> <a href="boost__fpclassify_8hpp_source.html#l00007">boost_fpclassify.hpp:7</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a73eaf0a5d0593bb8610234e0d69e7cec"><div class="ttname"><a href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">stan::math::tgamma</a></div><div class="ttdeci">fvar&lt; T &gt; tgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2tgamma_8hpp_source.html#l00015">tgamma.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<code>#include &lt;boost/math/special_functions/fpclassify.hpp&gt;</code><br />
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+<tr class="memdesc:a80e85e1eba4076438c72cd986fde40e8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the truncatation of the specified variable (C99).  <a href="namespacestan_1_1math.html#a80e85e1eba4076438c72cd986fde40e8">More...</a><br /></td></tr>
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+<a href="rev_2scal_2fun_2trunc_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_FUN_TRUNC_HPP</span></div>
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+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a00b8cbdec7c35e7c93b0f47dae3c5498"><div class="ttname"><a href="namespacestan_1_1math.html#a00b8cbdec7c35e7c93b0f47dae3c5498">stan::math::value_of_rec</a></div><div class="ttdeci">double value_of_rec(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of__rec_8hpp_source.html#l00021">value_of_rec.hpp:21</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">This class builds partial derivatives with respect to a set of operands.  <a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#details">More...</a><br /></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<h2 class="groupheader">Variable Documentation</h2>
+<a class="anchor" id="a8d3a73d7bcecbfb9b442f3699c50daf2"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t N_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00018">18</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae4ced7ae97dc6856f83a87c30ceb5a9d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">vari** operands_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00019">19</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a42743f253e78c588ecab59372f01e739"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">double* partials_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00020">20</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
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diff --git a/doc/api/html/rev_2scal_2meta_2_operands_and_partials_8hpp_source.html b/doc/api/html/rev_2scal_2meta_2_operands_and_partials_8hpp_source.html
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li><li class="navelem"><a class="el" href="dir_20b155cb57d7a56b3d8d0cc440c20c67.html">scal</a></li><li class="navelem"><a class="el" href="dir_0d2e2987a83d97b0549ec6e08f6f3f41.html">meta</a></li>  </ul>
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+<div class="title">OperandsAndPartials.hpp</div>  </div>
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+<div class="contents">
+<a href="rev_2scal_2meta_2_operands_and_partials_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_META_OPERANDSANDPARTIALS_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_META_OPERANDSANDPARTIALS_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="comment">// These are helpers to the OperandsAndPartials specialization for</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="comment">// stan::math::var</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;      <span class="keyword">class </span>partials_vari : <span class="keyword">public</span> vari {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      <span class="keyword">private</span>:</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#a8d3a73d7bcecbfb9b442f3699c50daf2">   18</a></span>&#160;        <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code" href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#a8d3a73d7bcecbfb9b442f3699c50daf2">N_</a>;</div>
+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#ae4ced7ae97dc6856f83a87c30ceb5a9d">   19</a></span>&#160;        vari** <a class="code" href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#ae4ced7ae97dc6856f83a87c30ceb5a9d">operands_</a>;</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#a42743f253e78c588ecab59372f01e739">   20</a></span>&#160;        <span class="keywordtype">double</span>* <a class="code" href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#a42743f253e78c588ecab59372f01e739">partials_</a>;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        partials_vari(<span class="keywordtype">double</span> value,</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;                      <span class="keywordtype">size_t</span> N,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                      vari** operands, <span class="keywordtype">double</span>* partials)</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;          : vari(value),</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;            N_(N),</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;            operands_(operands),</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;            partials_(partials) { }</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        <span class="keywordtype">void</span> chain() {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#a8d3a73d7bcecbfb9b442f3699c50daf2">N_</a>; ++n)</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;            operands_[n]-&gt;adj_ += adj_ * partials_[n];</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        }</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      };</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      var partials_to_var(<span class="keywordtype">double</span> logp, <span class="keywordtype">size_t</span> nvaris,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                          vari** all_varis,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                          <span class="keywordtype">double</span>* all_partials) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordflow">return</span> var(<span class="keyword">new</span> partials_vari(logp, nvaris, all_varis,</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;                                     all_partials));</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T,</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;               <span class="keywordtype">bool</span> is_vec = is_vector&lt;T&gt;::value,</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;               <span class="keywordtype">bool</span> is_const = is_constant_struct&lt;T&gt;::value&gt;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">struct </span>set_varis {</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">size_t</span> set(vari** <span class="comment">/*varis*/</span>, <span class="keyword">const</span> T&amp; <span class="comment">/*x*/</span>) {</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;          <span class="keywordflow">return</span> 0U;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        }</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      };</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">struct </span>set_varis&lt;T, true, false&gt; {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">size_t</span> set(vari** varis, <span class="keyword">const</span> T&amp; x) {</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;          <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x); n++)</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            varis[n] = x[n].vi_;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        }</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      };</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">template</span>&lt;&gt;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">struct </span>set_varis&lt;var, false, false&gt; {</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">size_t</span> set(vari** varis, <span class="keyword">const</span> var&amp; x) {</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;          varis[0] = x.vi_;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;          <span class="keywordflow">return</span> (1);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        }</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      };</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    }</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2, <span class="keyword">typename</span> T3,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;             <span class="keyword">typename</span> T4, <span class="keyword">typename</span> T5, <span class="keyword">typename</span> T6&gt;</div>
+<div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html">   91</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials</a>&lt;T1, T2, T3, T4, T5, T6, <a class="code" href="namespacestan.html">stan</a>::<a class="code" href="classstan_1_1math_1_1var.html">math::var</a>&gt; {</div>
+<div class="line"><a name="l00092"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a986e21d6b93419a911b127b1c0b2c340">   92</a></span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a986e21d6b93419a911b127b1c0b2c340">nvaris</a>;</div>
+<div class="line"><a name="l00093"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#accdd1f46ef65e394863d057b7bfa9039">   93</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>** <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#accdd1f46ef65e394863d057b7bfa9039">all_varis</a>;</div>
+<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ab66e9568baf1aec67e59fbc61244c63f">   94</a></span>&#160;      <span class="keywordtype">double</span>* <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ab66e9568baf1aec67e59fbc61244c63f">all_partials</a>;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;double,</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T1&gt;::value</a>,</div>
+<div class="line"><a name="l00098"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ac3da0f123dda13340cd425733f317dfb">   98</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T1&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ac3da0f123dda13340cd425733f317dfb">d_x1</a>;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;double,</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T2&gt;::value</a>,</div>
+<div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#af657840ea458aca67fc477339cef7dfd">  101</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T2&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#af657840ea458aca67fc477339cef7dfd">d_x2</a>;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;double,</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T3&gt;::value</a>,</div>
+<div class="line"><a name="l00104"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a9e81624687b22f12738b43e08068ecdb">  104</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T3&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a9e81624687b22f12738b43e08068ecdb">d_x3</a>;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;double,</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T4&gt;::value</a>,</div>
+<div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a14a7b48d91addf99b5924185941362d7">  107</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T4&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a14a7b48d91addf99b5924185941362d7">d_x4</a>;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;double,</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T5&gt;::value</a>,</div>
+<div class="line"><a name="l00110"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ad0f79b2e3de49d5d25baf91aebcdda46">  110</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T5&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ad0f79b2e3de49d5d25baf91aebcdda46">d_x5</a>;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView</a>&lt;double,</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;                 <a class="code" href="structstan_1_1is__vector.html">is_vector&lt;T6&gt;::value</a>,</div>
+<div class="line"><a name="l00113"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#abb05a246148273ea10a4f18f2be9079d">  113</a></span>&#160;                 <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T6&gt;::value</a>&gt; <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#abb05a246148273ea10a4f18f2be9079d">d_x6</a>;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00125"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a560eb18fec2ac9cf470108ba4090f190">  125</a></span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a560eb18fec2ac9cf470108ba4090f190">OperandsAndPartials</a>(<span class="keyword">const</span> T1&amp; x1 = 0, <span class="keyword">const</span> T2&amp; x2 = 0, <span class="keyword">const</span> T3&amp; x3 = 0,</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                          <span class="keyword">const</span> T4&amp; x4 = 0, <span class="keyword">const</span> T5&amp; x5 = 0, <span class="keyword">const</span> T6&amp; x6 = 0)</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        : nvaris(!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T1&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a> * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x1) +</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                 !<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T2&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a> * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x2) +</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                 !<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T3&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a> * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x3) +</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                 !<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T4&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a> * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x4) +</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;                 !<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T5&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a> * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x5) +</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                 !<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T6&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a> * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x6)),</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          <span class="comment">// TODO(carpenter): replace with array allocation fun</span></div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;          all_varis(static_cast&lt;<a class="code" href="classstan_1_1math_1_1vari.html">vari</a>**&gt;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                    (<a class="code" href="classstan_1_1math_1_1vari.html">vari</a>::operator new</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;                     (sizeof(<a class="code" href="classstan_1_1math_1_1vari.html">vari</a>*) * nvaris))),</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;          all_partials(static_cast&lt;double*&gt;</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                       (<a class="code" href="classstan_1_1math_1_1vari.html">vari</a>::operator new</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;                        (sizeof(double) * nvaris))),</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;          d_x1(all_partials),</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          d_x2(all_partials</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T1&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x1)),</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;          d_x3(all_partials</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T1&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x1)</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T2&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x2)),</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;          d_x4(all_partials</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T1&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x1)</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T2&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x2)</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T3&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x3)),</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;          d_x5(all_partials</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T1&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x1)</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T2&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x2)</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T3&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x3)</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T4&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x4)),</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;          d_x6(all_partials</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T1&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x1)</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T2&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x2)</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T3&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x3)</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T4&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x4)</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;               + (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct</a>&lt;T5&gt;::<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) * <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(x5)) {</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;        <span class="keywordtype">size_t</span> base = 0;</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T1&gt;::value</a>)</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;          base += set_varis&lt;T1&gt;().set(&amp;all_varis[base], x1);</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T2&gt;::value</a>)</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;          base += set_varis&lt;T2&gt;().set(&amp;all_varis[base], x2);</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T3&gt;::value</a>)</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;          base += set_varis&lt;T3&gt;().set(&amp;all_varis[base], x3);</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T4&gt;::value</a>)</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;          base += set_varis&lt;T4&gt;().set(&amp;all_varis[base], x4);</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T5&gt;::value</a>)</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;          base += set_varis&lt;T5&gt;().set(&amp;all_varis[base], x5);</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T6&gt;::value</a>)</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;          set_varis&lt;T6&gt;().set(&amp;all_varis[base], x6);</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        <a class="code" href="namespacestan_1_1math.html#aa7f5d81c4d45f2407096def8810ffe00">std::fill</a>(all_partials, all_partials+nvaris, 0);</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;      }</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;</div>
+<div class="line"><a name="l00185"></a><span class="lineno"><a class="line" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a179205c5cd9e947d7d1fe69d4860da47">  185</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a> <a class="code" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a179205c5cd9e947d7d1fe69d4860da47">value</a>(<span class="keywordtype">double</span> <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>) {</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        <span class="keywordflow">return</span> partials_to_var(value, nvaris, all_varis,</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;                               all_partials);</div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;      }</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;    };</div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;</div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;  }</div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;}</div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4_html_accdd1f46ef65e394863d057b7bfa9039"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#accdd1f46ef65e394863d057b7bfa9039">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;::all_varis</a></div><div class="ttdeci">vari ** all_varis</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00093">OperandsAndPartials.hpp:93</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4_html_a14a7b48d91addf99b5924185941362d7"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a14a7b48d91addf99b5924185941362d7">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;::d_x4</a></div><div class="ttdeci">VectorView&lt; double, is_vector&lt; T4 &gt;::value, is_constant_struct&lt; T4 &gt;::value &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00107">OperandsAndPartials.hpp:107</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4_html_a179205c5cd9e947d7d1fe69d4860da47"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a179205c5cd9e947d7d1fe69d4860da47">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;::value</a></div><div class="ttdeci">stan::math::var value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00185">OperandsAndPartials.hpp:185</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="rev_2scal_2meta_2_operands_and_partials_8hpp_html_ae4ced7ae97dc6856f83a87c30ceb5a9d"><div class="ttname"><a href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#ae4ced7ae97dc6856f83a87c30ceb5a9d">operands_</a></div><div class="ttdeci">vari ** operands_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00019">OperandsAndPartials.hpp:19</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__vector_html"><div class="ttname"><a href="structstan_1_1is__vector.html">stan::is_vector</a></div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__vector_8hpp_source.html#l00010">is_vector.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="rev_2scal_2meta_2_operands_and_partials_8hpp_html_a42743f253e78c588ecab59372f01e739"><div class="ttname"><a href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#a42743f253e78c588ecab59372f01e739">partials_</a></div><div class="ttdeci">double * partials_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00020">OperandsAndPartials.hpp:20</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4_html_ac3da0f123dda13340cd425733f317dfb"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ac3da0f123dda13340cd425733f317dfb">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;::d_x1</a></div><div class="ttdeci">VectorView&lt; double, is_vector&lt; T1 &gt;::value, is_constant_struct&lt; T1 &gt;::value &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00098">OperandsAndPartials.hpp:98</a></div></div>
+<div class="ttc" id="rev_2scal_2meta_2_operands_and_partials_8hpp_html_a8d3a73d7bcecbfb9b442f3699c50daf2"><div class="ttname"><a href="rev_2scal_2meta_2_operands_and_partials_8hpp.html#a8d3a73d7bcecbfb9b442f3699c50daf2">N_</a></div><div class="ttdeci">const size_t N_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00018">OperandsAndPartials.hpp:18</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4_html_a560eb18fec2ac9cf470108ba4090f190"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a560eb18fec2ac9cf470108ba4090f190">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;::OperandsAndPartials</a></div><div class="ttdeci">OperandsAndPartials(const T1 &amp;x1=0, const T2 &amp;x2=0, const T3 &amp;x3=0, const T4 &amp;x4=0, const T5 &amp;x5=0, const T6 &amp;x6=0)</div><div class="ttdoc">Constructor. </div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00125">OperandsAndPartials.hpp:125</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4_html_ad0f79b2e3de49d5d25baf91aebcdda46"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ad0f79b2e3de49d5d25baf91aebcdda46">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;::d_x5</a></div><div class="ttdeci">VectorView&lt; double, is_vector&lt; T5 &gt;::value, is_constant_struct&lt; T5 &gt;::value &gt; d_x5</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00110">OperandsAndPartials.hpp:110</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4_html_af657840ea458aca67fc477339cef7dfd"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#af657840ea458aca67fc477339cef7dfd">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;::d_x2</a></div><div class="ttdeci">VectorView&lt; double, is_vector&lt; T2 &gt;::value, is_constant_struct&lt; T2 &gt;::value &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00101">OperandsAndPartials.hpp:101</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa7f5d81c4d45f2407096def8810ffe00"><div class="ttname"><a href="namespacestan_1_1math.html#aa7f5d81c4d45f2407096def8810ffe00">stan::math::fill</a></div><div class="ttdeci">void fill(std::vector&lt; T &gt; &amp;x, const S &amp;y)</div><div class="ttdoc">Fill the specified container with the specified value. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2fun_2fill_8hpp_source.html#l00022">fill.hpp:22</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4_html_a9e81624687b22f12738b43e08068ecdb"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a9e81624687b22f12738b43e08068ecdb">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;::d_x3</a></div><div class="ttdeci">VectorView&lt; double, is_vector&lt; T3 &gt;::value, is_constant_struct&lt; T3 &gt;::value &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00104">OperandsAndPartials.hpp:104</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4_html_ab66e9568baf1aec67e59fbc61244c63f"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#ab66e9568baf1aec67e59fbc61244c63f">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;::all_partials</a></div><div class="ttdeci">double * all_partials</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00094">OperandsAndPartials.hpp:94</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4_html_a986e21d6b93419a911b127b1c0b2c340"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a986e21d6b93419a911b127b1c0b2c340">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;::nvaris</a></div><div class="ttdeci">size_t nvaris</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00092">OperandsAndPartials.hpp:92</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4_html_abb05a246148273ea10a4f18f2be9079d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#abb05a246148273ea10a4f18f2be9079d">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;::d_x6</a></div><div class="ttdeci">VectorView&lt; double, is_vector&lt; T6 &gt;::value, is_constant_struct&lt; T6 &gt;::value &gt; d_x6</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00113">OperandsAndPartials.hpp:113</a></div></div>
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+<code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
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+<div class="ttc" id="structstan_1_1is__var_html"><div class="ttname"><a href="structstan_1_1is__var.html">stan::is_var</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2is__var_8hpp_source.html#l00007">is_var.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_META_PARTIALS_TYPE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2partials__type_8hpp.html">stan/math/prim/scal/meta/partials_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">template</span> &lt;&gt;</div>
+<div class="line"><a name="l00010"></a><span class="lineno"><a class="line" href="structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4.html">   10</a></span>&#160;  <span class="keyword">struct </span><a class="code" href="structstan_1_1partials__type.html">partials_type</a>&lt;<a class="code" href="namespacestan.html">stan</a>::<a class="code" href="classstan_1_1math_1_1var.html">math::var</a>&gt; {</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4.html#a3c2760c483a6ad308e2f340fe934d51d">   11</a></span>&#160;    <span class="keyword">typedef</span> <span class="keywordtype">double</span> <a class="code" href="structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4.html#a3c2760c483a6ad308e2f340fe934d51d">type</a>;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  };</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;}</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="ttc" id="structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4_html_a3c2760c483a6ad308e2f340fe934d51d"><div class="ttname"><a href="structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4.html#a3c2760c483a6ad308e2f340fe934d51d">stan::partials_type&lt; stan::math::var &gt;::type</a></div><div class="ttdeci">double type</div><div class="ttdef"><b>Definition:</b> <a href="rev_2scal_2meta_2partials__type_8hpp_source.html#l00011">partials_type.hpp:11</a></div></div>
+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2partials__type_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2partials__type_8hpp.html">partials_type.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="structstan_1_1partials__type_html"><div class="ttname"><a href="structstan_1_1partials__type.html">stan::partials_type</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2partials__type_8hpp_source.html#l00007">partials_type.hpp:7</a></div></div>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="rev_2core_8hpp_source.html">stan/math/rev/core.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2partials__type_8hpp_source.html">stan/math/rev/scal/meta/partials_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/rev/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_8hpp_source.html">stan/math/prim/scal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2abs_8hpp_source.html">stan/math/rev/scal/fun/abs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2acos_8hpp_source.html">stan/math/rev/scal/fun/acos.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2acosh_8hpp_source.html">stan/math/rev/scal/fun/acosh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2as__bool_8hpp_source.html">stan/math/rev/scal/fun/as_bool.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2asin_8hpp_source.html">stan/math/rev/scal/fun/asin.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2asinh_8hpp_source.html">stan/math/rev/scal/fun/asinh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2atan_8hpp_source.html">stan/math/rev/scal/fun/atan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2atan2_8hpp_source.html">stan/math/rev/scal/fun/atan2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2atanh_8hpp_source.html">stan/math/rev/scal/fun/atanh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2bessel__first__kind_8hpp_source.html">stan/math/rev/scal/fun/bessel_first_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2bessel__second__kind_8hpp_source.html">stan/math/rev/scal/fun/bessel_second_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2binary__log__loss_8hpp_source.html">stan/math/rev/scal/fun/binary_log_loss.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="boost__fpclassify_8hpp_source.html">stan/math/rev/scal/fun/boost_fpclassify.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="boost__isfinite_8hpp_source.html">stan/math/rev/scal/fun/boost_isfinite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="boost__isinf_8hpp_source.html">stan/math/rev/scal/fun/boost_isinf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="boost__isnan_8hpp_source.html">stan/math/rev/scal/fun/boost_isnan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="boost__isnormal_8hpp_source.html">stan/math/rev/scal/fun/boost_isnormal.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="calculate__chain_8hpp_source.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2cbrt_8hpp_source.html">stan/math/rev/scal/fun/cbrt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2ceil_8hpp_source.html">stan/math/rev/scal/fun/ceil.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2cos_8hpp_source.html">stan/math/rev/scal/fun/cos.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2cosh_8hpp_source.html">stan/math/rev/scal/fun/cosh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2digamma_8hpp_source.html">stan/math/rev/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2erf_8hpp_source.html">stan/math/rev/scal/fun/erf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2erfc_8hpp_source.html">stan/math/rev/scal/fun/erfc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2exp_8hpp_source.html">stan/math/rev/scal/fun/exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2exp2_8hpp_source.html">stan/math/rev/scal/fun/exp2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2expm1_8hpp_source.html">stan/math/rev/scal/fun/expm1.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2fabs_8hpp_source.html">stan/math/rev/scal/fun/fabs.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2falling__factorial_8hpp_source.html">stan/math/rev/scal/fun/falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2fdim_8hpp_source.html">stan/math/rev/scal/fun/fdim.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2floor_8hpp_source.html">stan/math/rev/scal/fun/floor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2fma_8hpp_source.html">stan/math/rev/scal/fun/fma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2fmax_8hpp_source.html">stan/math/rev/scal/fun/fmax.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2fmin_8hpp_source.html">stan/math/rev/scal/fun/fmin.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2fmod_8hpp_source.html">stan/math/rev/scal/fun/fmod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2gamma__p_8hpp_source.html">stan/math/rev/scal/fun/gamma_p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/rev/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2grad__inc__beta_8hpp_source.html">stan/math/rev/scal/fun/grad_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2hypot_8hpp_source.html">stan/math/rev/scal/fun/hypot.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2ibeta_8hpp_source.html">stan/math/rev/scal/fun/ibeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2if__else_8hpp_source.html">stan/math/rev/scal/fun/if_else.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/rev/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2inv_8hpp_source.html">stan/math/rev/scal/fun/inv.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2inv__cloglog_8hpp_source.html">stan/math/rev/scal/fun/inv_cloglog.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/rev/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2inv___phi_8hpp_source.html">stan/math/rev/scal/fun/inv_Phi.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2inv__sqrt_8hpp_source.html">stan/math/rev/scal/fun/inv_sqrt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2inv__square_8hpp_source.html">stan/math/rev/scal/fun/inv_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2is__inf_8hpp_source.html">stan/math/rev/scal/fun/is_inf.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2is__nan_8hpp_source.html">stan/math/rev/scal/fun/is_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2is__uninitialized_8hpp_source.html">stan/math/rev/scal/fun/is_uninitialized.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2lgamma_8hpp_source.html">stan/math/rev/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2lmgamma_8hpp_source.html">stan/math/rev/scal/fun/lmgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log_8hpp_source.html">stan/math/rev/scal/fun/log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log10_8hpp_source.html">stan/math/rev/scal/fun/log10.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log1m_8hpp_source.html">stan/math/rev/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log1m__exp_8hpp_source.html">stan/math/rev/scal/fun/log1m_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log1p_8hpp_source.html">stan/math/rev/scal/fun/log1p.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log1p__exp_8hpp_source.html">stan/math/rev/scal/fun/log1p_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log2_8hpp_source.html">stan/math/rev/scal/fun/log2.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log__diff__exp_8hpp_source.html">stan/math/rev/scal/fun/log_diff_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log__falling__factorial_8hpp_source.html">stan/math/rev/scal/fun/log_falling_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log__mix_8hpp_source.html">stan/math/rev/scal/fun/log_mix.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log__rising__factorial_8hpp_source.html">stan/math/rev/scal/fun/log_rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2log__sum__exp_8hpp_source.html">stan/math/rev/scal/fun/log_sum_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">stan/math/rev/scal/fun/modified_bessel_first_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2modified__bessel__second__kind_8hpp_source.html">stan/math/rev/scal/fun/modified_bessel_second_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/rev/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2owens__t_8hpp_source.html">stan/math/rev/scal/fun/owens_t.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2_phi_8hpp_source.html">stan/math/rev/scal/fun/Phi.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2_phi__approx_8hpp_source.html">stan/math/rev/scal/fun/Phi_approx.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2pow_8hpp_source.html">stan/math/rev/scal/fun/pow.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2primitive__value_8hpp_source.html">stan/math/rev/scal/fun/primitive_value.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2rising__factorial_8hpp_source.html">stan/math/rev/scal/fun/rising_factorial.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2round_8hpp_source.html">stan/math/rev/scal/fun/round.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2sin_8hpp_source.html">stan/math/rev/scal/fun/sin.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2sinh_8hpp_source.html">stan/math/rev/scal/fun/sinh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2sqrt_8hpp_source.html">stan/math/rev/scal/fun/sqrt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2square_8hpp_source.html">stan/math/rev/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2step_8hpp_source.html">stan/math/rev/scal/fun/step.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2tan_8hpp_source.html">stan/math/rev/scal/fun/tan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2tanh_8hpp_source.html">stan/math/rev/scal/fun/tanh.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2fun_2to__var_8hpp_source.html">stan/math/rev/scal/fun/to_var.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2tgamma_8hpp_source.html">stan/math/rev/scal/fun/tgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2trunc_8hpp_source.html">stan/math/rev/scal/fun/trunc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of_8hpp_source.html">stan/math/rev/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="rev_2scal_2fun_2value__of__rec_8hpp_source.html">stan/math/rev/scal/fun/value_of_rec.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rev_2scal_8hpp_source.html">Go to the source code of this file.</a></p>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+  <i>&copy; 2011&ndash;2016,
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_bffcb08b87b110cc77a7c00bbae4eda8.html">rev</a></li>  </ul>
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+<div class="title">scal.hpp</div>  </div>
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+<a href="rev_2scal_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_SCAL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2core_8hpp.html">stan/math/rev/core.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2is__var_8hpp.html">stan/math/rev/scal/meta/is_var.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2partials__type_8hpp.html">stan/math/rev/scal/meta/partials_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/rev/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_8hpp.html">stan/math/prim/scal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2abs_8hpp.html">stan/math/rev/scal/fun/abs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2acos_8hpp.html">stan/math/rev/scal/fun/acos.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2acosh_8hpp.html">stan/math/rev/scal/fun/acosh.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2as__bool_8hpp.html">stan/math/rev/scal/fun/as_bool.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2asin_8hpp.html">stan/math/rev/scal/fun/asin.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2asinh_8hpp.html">stan/math/rev/scal/fun/asinh.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2atan_8hpp.html">stan/math/rev/scal/fun/atan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2atan2_8hpp.html">stan/math/rev/scal/fun/atan2.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2atanh_8hpp.html">stan/math/rev/scal/fun/atanh.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2bessel__first__kind_8hpp.html">stan/math/rev/scal/fun/bessel_first_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2bessel__second__kind_8hpp.html">stan/math/rev/scal/fun/bessel_second_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2binary__log__loss_8hpp.html">stan/math/rev/scal/fun/binary_log_loss.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="boost__fpclassify_8hpp.html">stan/math/rev/scal/fun/boost_fpclassify.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="boost__isfinite_8hpp.html">stan/math/rev/scal/fun/boost_isfinite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="boost__isinf_8hpp.html">stan/math/rev/scal/fun/boost_isinf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="boost__isnan_8hpp.html">stan/math/rev/scal/fun/boost_isnan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="boost__isnormal_8hpp.html">stan/math/rev/scal/fun/boost_isnormal.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="calculate__chain_8hpp.html">stan/math/rev/scal/fun/calculate_chain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2cbrt_8hpp.html">stan/math/rev/scal/fun/cbrt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2ceil_8hpp.html">stan/math/rev/scal/fun/ceil.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2cos_8hpp.html">stan/math/rev/scal/fun/cos.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2cosh_8hpp.html">stan/math/rev/scal/fun/cosh.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2digamma_8hpp.html">stan/math/rev/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2erf_8hpp.html">stan/math/rev/scal/fun/erf.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2erfc_8hpp.html">stan/math/rev/scal/fun/erfc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2exp_8hpp.html">stan/math/rev/scal/fun/exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2exp2_8hpp.html">stan/math/rev/scal/fun/exp2.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2expm1_8hpp.html">stan/math/rev/scal/fun/expm1.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2fabs_8hpp.html">stan/math/rev/scal/fun/fabs.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2falling__factorial_8hpp.html">stan/math/rev/scal/fun/falling_factorial.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2fdim_8hpp.html">stan/math/rev/scal/fun/fdim.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2floor_8hpp.html">stan/math/rev/scal/fun/floor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2fma_8hpp.html">stan/math/rev/scal/fun/fma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2fmax_8hpp.html">stan/math/rev/scal/fun/fmax.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="rev_2scal_2fun_2fmin_8hpp.html">stan/math/rev/scal/fun/fmin.hpp</a>&gt;</span></div>
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+<code>#include &lt;<a class="el" href="check__row__index_8hpp_source.html">stan/math/prim/mat/err/check_row_index.hpp</a>&gt;</code><br />
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+<tr class="memdesc:ab98e74182d133e210dda425a689f2fb3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified row of the specified matrix, using start-at-1 indexing.  <a href="namespacestan_1_1math.html#ab98e74182d133e210dda425a689f2fb3">More...</a><br /></td></tr>
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+<a href="#namespaces">Namespaces</a> &#124;
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+  <div class="headertitle">
+<div class="title">rows.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+</div>
+<p><a href="rows_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae17fdbe8f98c5d6c887b49f99e6d4a03"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:ae17fdbe8f98c5d6c887b49f99e6d4a03"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">stan::math::rows</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;m)</td></tr>
+<tr class="memdesc:ae17fdbe8f98c5d6c887b49f99e6d4a03"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the number of rows in the specified matrix, vector, or row vector.  <a href="namespacestan_1_1math.html#ae17fdbe8f98c5d6c887b49f99e6d4a03">More...</a><br /></td></tr>
+<tr class="separator:ae17fdbe8f98c5d6c887b49f99e6d4a03"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="rows_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_ROWS_HPP</span></div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a6d362e53d3d40b61e68fdd08dc5eb38b"><td class="memTemplParams" colspan="2">template&lt;typename T , typename S &gt; </td></tr>
+<tr class="memitem:a6d362e53d3d40b61e68fdd08dc5eb38b"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6d362e53d3d40b61e68fdd08dc5eb38b">stan::math::fill</a> (T &amp;x, const S &amp;y)</td></tr>
+<tr class="memdesc:a6d362e53d3d40b61e68fdd08dc5eb38b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Fill the specified container with the specified value.  <a href="namespacestan_1_1math.html#a6d362e53d3d40b61e68fdd08dc5eb38b">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa7f5d81c4d45f2407096def8810ffe00"><div class="ttname"><a href="namespacestan_1_1math.html#aa7f5d81c4d45f2407096def8810ffe00">stan::math::fill</a></div><div class="ttdeci">void fill(std::vector&lt; T &gt; &amp;x, const S &amp;y)</div><div class="ttdoc">Fill the specified container with the specified value. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2fun_2fill_8hpp_source.html#l00022">fill.hpp:22</a></div></div>
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new file mode 100644
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html">stan/math/prim/scal/fun/promote_scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2index__type_8hpp_source.html">stan/math/prim/scal/meta/index_type.hpp</a>&gt;</code><br />
+</div>
+<p><a href="scal_2fun_2promote__scalar_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">stan::math::promote_scalar_struct&lt; T, S &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">General struct to hold static function for promoting underlying scalar types.  <a href="structstan_1_1math_1_1promote__scalar__struct.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html">stan::math::promote_scalar_struct&lt; T, T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Struct to hold static function for promoting underlying scalar types.  <a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html#details">More...</a><br /></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a4815c45c3f87ea98453880863e3a0b94"><td class="memTemplParams" colspan="2">template&lt;typename T , typename S &gt; </td></tr>
+<tr class="memitem:a4815c45c3f87ea98453880863e3a0b94"><td class="memTemplItemLeft" align="right" valign="top">promote_scalar_type&lt; T, S &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4815c45c3f87ea98453880863e3a0b94">stan::math::promote_scalar</a> (const S &amp;x)</td></tr>
+<tr class="memdesc:a4815c45c3f87ea98453880863e3a0b94"><td class="mdescLeft">&#160;</td><td class="mdescRight">This is the top-level function to call to promote the scalar types of an input of type S to type T.  <a href="namespacestan_1_1math.html#a4815c45c3f87ea98453880863e3a0b94">More...</a><br /></td></tr>
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+<a href="scal_2fun_2promote__scalar_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_PROMOTE_SCALAR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_PROMOTE_SCALAR_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2fun_2promote__scalar__type_8hpp.html">stan/math/prim/scal/fun/promote_scalar_type.hpp</a>&gt;</span></div>
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+<div class="ttc" id="structstan_1_1math_1_1promote__scalar__struct_html"><div class="ttname"><a href="structstan_1_1math_1_1promote__scalar__struct.html">stan::math::promote_scalar_struct</a></div><div class="ttdoc">General struct to hold static function for promoting underlying scalar types. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2fun_2promote__scalar_8hpp_source.html#l00019">promote_scalar.hpp:19</a></div></div>
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+<div class="title">promote_scalar_type.hpp File Reference</div>  </div>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">stan::math::promote_scalar_type&lt; T, S &gt;</a></td></tr>
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+<div class="ttc" id="structstan_1_1math_1_1promote__scalar__type_html"><div class="ttname"><a href="structstan_1_1math_1_1promote__scalar__type.html">stan::math::promote_scalar_type</a></div><div class="ttdoc">Template metaprogram to calculate a type for converting a convertible type. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2fun_2promote__scalar__type_8hpp_source.html#l00015">promote_scalar_type.hpp:15</a></div></div>
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+<tr class="memitem:ad19a5837a9b5c3e219e5081d8dca3c89"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ad19a5837a9b5c3e219e5081d8dca3c89"><td class="memTemplItemLeft" align="right" valign="top">fvar&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad19a5837a9b5c3e219e5081d8dca3c89">stan::math::to_fvar</a> (const T &amp;x)</td></tr>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a06ea285d4408c28e9ec6dc2ca1b571b5"><td class="memItemLeft" align="right" valign="top">var&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a06ea285d4408c28e9ec6dc2ca1b571b5">stan::math::to_var</a> (const double &amp;x)</td></tr>
+<tr class="memdesc:a06ea285d4408c28e9ec6dc2ca1b571b5"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="namespacestan_1_1math.html#a06ea285d4408c28e9ec6dc2ca1b571b5">More...</a><br /></td></tr>
+<tr class="separator:a06ea285d4408c28e9ec6dc2ca1b571b5"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:adad5c0d61bde25dc78e090509b4b3149"><td class="mdescLeft">&#160;</td><td class="mdescRight">Converts argument to an automatic differentiation variable.  <a href="namespacestan_1_1math.html#adad5c0d61bde25dc78e090509b4b3149">More...</a><br /></td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_SCAL_FUN_TO_VAR_HPP</span></div>
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+<div class="ttc" id="rev_2core_8hpp_html"><div class="ttname"><a href="rev_2core_8hpp.html">core.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a82cb5d53612dd12c7038fe711b8dad30"><div class="ttname"><a href="namespacestan_1_1math.html#a82cb5d53612dd12c7038fe711b8dad30">stan::math::to_var</a></div><div class="ttdeci">std::vector&lt; var &gt; to_var(const std::vector&lt; double &gt; &amp;v)</div><div class="ttdoc">Converts argument to an automatic differentiation variable. </div><div class="ttdef"><b>Definition:</b> <a href="arr_2fun_2to__var_8hpp_source.html#l00020">to_var.hpp:20</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;<a class="el" href="contains__vector_8hpp_source.html">stan/math/prim/scal/meta/contains_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="scal_2meta_2_vector_builder_helper_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_builder_helper.html">stan::VectorBuilderHelper&lt; T1, used, is_vec &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classstan_1_1_vector_builder.html" title="VectorBuilder allocates type T1 values to be used as intermediate values. ">VectorBuilder</a> allocates type T1 values to be used as intermediate values.  <a href="classstan_1_1_vector_builder_helper.html#details">More...</a><br /></td></tr>
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+  <td id="projectalign" style="padding-left: 0.5em;">
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">VectorBuilderHelper.hpp</div>  </div>
+</div><!--header-->
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+<a href="scal_2meta_2_vector_builder_helper_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_VECTORBUILDER_HELPER_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_VECTORBUILDER_HELPER_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="contains__vector_8hpp.html">stan/math/prim/scal/meta/contains_vector.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T1, <span class="keywordtype">bool</span> used, <span class="keywordtype">bool</span> is_vec&gt;</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_builder_helper.html">   25</a></span>&#160;  <span class="keyword">class </span><a class="code" href="classstan_1_1_vector_builder_helper.html">VectorBuilderHelper</a> {</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/type_traits.hpp&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="scal_2meta_2_vector_view_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1_vector_view.html">stan::VectorView&lt; T, is_array, throw_if_accessed &gt;</a></td></tr>
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+<div class="title">VectorView.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="scal_2meta_2_vector_view_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_VECTORVIEW_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_VECTORVIEW_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2scalar__type_8hpp.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector__like_8hpp.html">stan/math/prim/scal/meta/is_vector_like.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;boost/type_traits.hpp&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            <span class="keywordtype">bool</span> is_array = <a class="code" href="structstan_1_1is__vector__like.html">stan::is_vector_like&lt;T&gt;::value</a>,</div>
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+<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view.html">   48</a></span>&#160;  <span class="keyword">class </span><a class="code" href="classstan_1_1_vector_view.html">VectorView</a> {</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    boost::conditional&lt;boost::is_const&lt;T&gt;::value,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                       <span class="keyword">typename</span> boost::add_const&lt;</div>
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+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> X&gt;</div>
+<div class="line"><a name="l00057"></a><span class="lineno"><a class="line" href="classstan_1_1_vector_view.html#a0b73aaeaa00a8c852f9bbad30eaaa78a">   57</a></span>&#160;    <span class="keyword">explicit</span> <a class="code" href="classstan_1_1_vector_view.html#a0b73aaeaa00a8c852f9bbad30eaaa78a">VectorView</a>(X x) {</div>
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+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;specialization not implemented&quot;</span>);</div>
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+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">throw</span> std::logic_error(<span class="stringliteral">&quot;VectorView: the default template &quot;</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;specialization not implemented&quot;</span>);</div>
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+<div class="title">container_view.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
+</div>
+<p><a href="scal_2meta_2container__view_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view.html">stan::math::container_view&lt; T1, T2 &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Primary template class for container view of array y with same structure as T1 and size as x.  <a href="classstan_1_1math_1_1container__view.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1dummy.html">stan::math::dummy</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Empty struct for use in boost::condtional&lt;<a class="el" href="structstan_1_1is__constant__struct.html" title="Metaprogram to determine if a type has a base scalar type that can be assigned to type double...">is_constant_struct</a>&lt;T1&gt;::value, T1, dummy&gt;::type as false condtion for safe indexing.  <a href="structstan_1_1math_1_1dummy.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html">stan::math::container_view&lt; dummy, T2 &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dummy type specialization, used in conjunction with struct dummy as described above.  <a href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#details">More...</a><br /></td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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diff --git a/doc/api/html/scal_2meta_2container__view_8hpp_source.html b/doc/api/html/scal_2meta_2container__view_8hpp_source.html
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+<div class="title">container_view.hpp</div>  </div>
+</div><!--header-->
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+<a href="scal_2meta_2container__view_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_CONTAINER_VIEW_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_CONTAINER_VIEW_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2scalar__type_8hpp.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1container__view.html">   22</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1container__view.html">container_view</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1container__view.html#a6fe36f3d62137ef5755cedcc69b64d22">   30</a></span>&#160;        <a class="code" href="classstan_1_1math_1_1container__view.html#a6fe36f3d62137ef5755cedcc69b64d22">container_view</a>(<span class="keyword">const</span> T1&amp; x, T2* y) : y_(y) { }</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1container__view.html#a7ed8e00a52b48d1ba3ebbc4fa38e11ce">   40</a></span>&#160;        T2&amp; <a class="code" href="classstan_1_1math_1_1container__view.html#a7ed8e00a52b48d1ba3ebbc4fa38e11ce">operator[]</a>(<span class="keywordtype">int</span> i) {</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">private</span>:</div>
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+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
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+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T2&gt;</div>
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+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">   65</a></span>&#160;        <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">stan::scalar_type&lt;T2&gt;::type</a> <a class="code" href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">scalar_t</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1&gt;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
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+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1scalar__type_html_aa9068e42d81d7091f822df126fe932b7"><div class="ttname"><a href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">stan::scalar_type::type</a></div><div class="ttdeci">scalar_type_helper&lt; is_vector&lt; T &gt;::value, T &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2scalar__type_8hpp_source.html#l00035">scalar_type.hpp:35</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1dummy_html"><div class="ttname"><a href="structstan_1_1math_1_1dummy.html">stan::math::dummy</a></div><div class="ttdoc">Empty struct for use in boost::condtional<is_constant_struct<T1>::value, T1, dummy>::type as false co...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2container__view_8hpp_source.html#l00053">container_view.hpp:53</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4_html_a54c09070ade34e51b79b2679b9819304"><div class="ttname"><a href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a54c09070ade34e51b79b2679b9819304">stan::math::container_view&lt; dummy, T2 &gt;::scalar_t</a></div><div class="ttdeci">stan::scalar_type&lt; T2 &gt;::type scalar_t</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2container__view_8hpp_source.html#l00065">container_view.hpp:65</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_html_a7ed8e00a52b48d1ba3ebbc4fa38e11ce"><div class="ttname"><a href="classstan_1_1math_1_1container__view.html#a7ed8e00a52b48d1ba3ebbc4fa38e11ce">stan::math::container_view::operator[]</a></div><div class="ttdeci">T2 &amp; operator[](int i)</div><div class="ttdoc">operator[](int i) returns reference to view, indexed by i Specialization handle appropriate broadcast...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2container__view_8hpp_source.html#l00040">container_view.hpp:40</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4_html_a19e3e8ef5cb77f25dc82a3da6711d7b8"><div class="ttname"><a href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a19e3e8ef5cb77f25dc82a3da6711d7b8">stan::math::container_view&lt; dummy, T2 &gt;::operator[]</a></div><div class="ttdeci">scalar_t operator[](int n) const </div><div class="ttdoc">operator[](int i) throws exception </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2container__view_8hpp_source.html#l00082">container_view.hpp:82</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4_html_a50bf179032b8fe16201ded36c2d195f1"><div class="ttname"><a href="classstan_1_1math_1_1container__view_3_01dummy_00_01_t2_01_4.html#a50bf179032b8fe16201ded36c2d195f1">stan::math::container_view&lt; dummy, T2 &gt;::container_view</a></div><div class="ttdeci">container_view(const T1 &amp;x, scalar_t *y)</div><div class="ttdoc">Nothing initialized. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2container__view_8hpp_source.html#l00074">container_view.hpp:74</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34583d3983ee4d61d09004ce3e278250"><div class="ttname"><a href="namespacestan_1_1math.html#a34583d3983ee4d61d09004ce3e278250">stan::math::out_of_range</a></div><div class="ttdeci">void out_of_range(const char *function, const int max, const int index, const char *msg1=&quot;&quot;, const char *msg2=&quot;&quot;)</div><div class="ttdoc">Throw an out_of_range exception with a consistently formatted message. </div><div class="ttdef"><b>Definition:</b> <a href="out__of__range_8hpp_source.html#l00030">out_of_range.hpp:30</a></div></div>
+<div class="ttc" id="scal_2meta_2scalar__type_8hpp_html"><div class="ttname"><a href="scal_2meta_2scalar__type_8hpp.html">scalar_type.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1container__view_html"><div class="ttname"><a href="classstan_1_1math_1_1container__view.html">stan::math::container_view</a></div><div class="ttdoc">Primary template class for container view of array y with same structure as T1 and size as x...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2container__view_8hpp_source.html#l00022">container_view.hpp:22</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;cstddef&gt;</code><br />
+</div>
+<p><a href="scal_2meta_2get_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a2e926e5518c0c2f289f79d23010815d3"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a2e926e5518c0c2f289f79d23010815d3"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan.html#a2e926e5518c0c2f289f79d23010815d3">stan::get</a> (const T &amp;x, size_t n)</td></tr>
+<tr class="separator:a2e926e5518c0c2f289f79d23010815d3"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_GET_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;cstddef&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00010"></a><span class="lineno"><a class="line" href="namespacestan.html#a2e926e5518c0c2f289f79d23010815d3">   10</a></span>&#160;  <span class="keyword">inline</span> T <span class="keyword">get</span>(<span class="keyword">const</span> T&amp; x, <span class="keywordtype">size_t</span> n) {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keywordflow">return</span> x;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;  }</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;}</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="contents">
+
+<p><a href="scal_2meta_2index__type_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1index__type.html">stan::math::index_type&lt; T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Primary template class for the metaprogram to compute the index type of a container.  <a href="structstan_1_1math_1_1index__type.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html">stan::math::index_type&lt; const T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template class for metaprogram to compute the type of indexes used in a constant container type.  <a href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html#details">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="is__constant_8hpp_source.html">stan/math/prim/scal/meta/is_constant.hpp</a>&gt;</code><br />
+</div>
+<p><a href="scal_2meta_2is__constant__struct_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct&lt; T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Metaprogram to determine if a type has a base scalar type that can be assigned to type double.  <a href="structstan_1_1is__constant__struct.html#details">More...</a><br /></td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_IS_CONSTANT_STRUCT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
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+<a href="scal_2meta_2is__vector_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_IS_VECTOR_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__vector_8hpp_source.html">stan/math/prim/scal/meta/is_vector.hpp</a>&gt;</code><br />
+</div>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1is__vector__like.html">stan::is_vector_like&lt; T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram indicates whether a type is vector_like.  <a href="structstan_1_1is__vector__like.html#details">More...</a><br /></td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template metaprogram indicates whether a type is vector_like.  <a href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html#details">More...</a><br /></td></tr>
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+<div class="ttc" id="scal_2meta_2is__vector_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__vector_8hpp.html">is_vector.hpp</a></div></div>
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+<div class="title">scalar_type.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__vector_8hpp_source.html">stan/math/prim/scal/meta/is_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2value__type_8hpp_source.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</code><br />
+</div>
+<p><a href="scal_2meta_2scalar__type_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1scalar__type.html">stan::scalar_type&lt; T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Metaprogram structure to determine the base scalar type of a template argument.  <a href="structstan_1_1scalar__type.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</div><!--header-->
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+<a href="scal_2meta_2scalar__type_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_SCALAR_TYPE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_SCALAR_TYPE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__vector_8hpp.html">stan/math/prim/scal/meta/is_vector.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1value__type.html">stan::math::value_type&lt; T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Primary template class for metaprogram to compute the type of values stored in a container.  <a href="structstan_1_1math_1_1value__type.html#details">More...</a><br /></td></tr>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Template class for metaprogram to compute the type of values stored in a constant container.  <a href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4.html#details">More...</a><br /></td></tr>
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+<a href="scal_2meta_2value__type_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_VALUE_TYPE_HPP</span></div>
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+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1value__type_html"><div class="ttname"><a href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a></div><div class="ttdoc">Primary template class for metaprogram to compute the type of values stored in a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2value__type_8hpp_source.html#l00018">value_type.hpp:18</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__vector_8hpp_source.html">stan/math/prim/scal/meta/is_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2value__type_8hpp_source.html">stan/math/prim/scal/meta/value_type.hpp</a>&gt;</code><br />
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1scalar__type__pre.html">stan::scalar_type_pre&lt; T &gt;</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Metaprogram structure to determine the type of first container of the base scalar type of a template argument.  <a href="structstan_1_1scalar__type__pre.html#details">More...</a><br /></td></tr>
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+<a href="scalar__type__pre_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_SCALAR_TYPE_PRE_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="scal_2meta_2is__vector_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__vector_8hpp.html">is_vector.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2value__type_8hpp_html"><div class="ttname"><a href="scal_2meta_2value__type_8hpp.html">value_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1scalar__type__pre_html"><div class="ttname"><a href="structstan_1_1scalar__type__pre.html">stan::scalar_type_pre</a></div><div class="ttdoc">Metaprogram structure to determine the type of first container of the base scalar type of a template ...</div><div class="ttdef"><b>Definition:</b> <a href="scalar__type__pre_8hpp_source.html#l00034">scalar_type_pre.hpp:34</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1value__type_html"><div class="ttname"><a href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a></div><div class="ttdoc">Primary template class for metaprogram to compute the type of values stored in a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2value__type_8hpp_source.html#l00018">value_type.hpp:18</a></div></div>
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+<a href="scaled__add_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUN_SCALED_ADD_HPP</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="comment">// x &lt;- x + lambda * y</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;                           <span class="keyword">const</span> std::vector&lt;double&gt;&amp; y,</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a2eb786f14699d69c39cfdd49893a8006"><div class="ttname"><a href="namespacestan_1_1math.html#a2eb786f14699d69c39cfdd49893a8006">stan::math::scaled_add</a></div><div class="ttdeci">void scaled_add(std::vector&lt; double &gt; &amp;x, const std::vector&lt; double &gt; &amp;y, const double lambda)</div><div class="ttdef"><b>Definition:</b> <a href="scaled__add_8hpp_source.html#l00011">scaled_add.hpp:11</a></div></div>
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+<div class="title">scaled_inv_chi_square_ccdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="scaled__inv__chi__square__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a4fefbbf10f04d62902c383f26d98eaee"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_scale &gt; </td></tr>
+<tr class="memitem:a4fefbbf10f04d62902c383f26d98eaee"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4fefbbf10f04d62902c383f26d98eaee">stan::math::scaled_inv_chi_square_ccdf_log</a> (const T_y &amp;y, const T_dof &amp;nu, const T_scale &amp;s)</td></tr>
+<tr class="separator:a4fefbbf10f04d62902c383f26d98eaee"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">scaled_inv_chi_square_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="scaled__inv__chi__square__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_SCALED_INV_CHI_SQUARE_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_SCALED_INV_CHI_SQUARE_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof, T_scale&gt;::type</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a4fefbbf10f04d62902c383f26d98eaee">   33</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4fefbbf10f04d62902c383f26d98eaee">scaled_inv_chi_square_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                                   <span class="keyword">const</span> T_scale&amp; s) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(s)))</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::scaled_inv_chi_square_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, s);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, s);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> s_vec(s);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu, s);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof, T_scale&gt;</a></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        operands_and_partials(y, nu, s);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      }</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// Compute cdf_log and its gradients</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                    T_partials_return, T_dof&gt; gamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                    T_partials_return, T_dof&gt; digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          <span class="keyword">const</span> T_partials_return half_nu_dbl = 0.5 * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(half_nu_dbl);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(half_nu_dbl);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      }</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">const</span> T_partials_return y_inv_dbl = 1.0 / y_dbl;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keyword">const</span> T_partials_return half_nu_dbl = 0.5 * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keyword">const</span> T_partials_return s_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(s_vec[n]);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keyword">const</span> T_partials_return half_s2_overx_dbl = 0.5 * s_dbl * s_dbl</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;          * y_inv_dbl;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keyword">const</span> T_partials_return half_nu_s2_overx_dbl</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          = 2.0 * half_nu_dbl * half_s2_overx_dbl;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = 1.0 - <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(half_nu_dbl,</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                                                   half_nu_s2_overx_dbl);</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keyword">const</span> T_partials_return gamma_p_deriv = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-half_nu_s2_overx_dbl)</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(half_nu_s2_overx_dbl, half_nu_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(half_nu_dbl);</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= half_nu_s2_overx_dbl * y_inv_dbl</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            * gamma_p_deriv / Pn;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            -= (0.5 * <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(half_nu_dbl,</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                                                     half_nu_s2_overx_dbl,</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                                                     gamma_vec[n],</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                                                     digamma_vec[n])</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                - half_s2_overx_dbl * gamma_p_deriv)</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;            / Pn;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += 2.0 * half_nu_dbl * s_dbl * y_inv_dbl</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            * gamma_p_deriv / Pn;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;      }</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    }</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;  }</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;}</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6336e9873f3029f5abe54c4914c71cb2"><div class="ttname"><a href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a></div><div class="ttdeci">T grad_reg_inc_gamma(T a, T z, T g, T dig, T precision=1e-6)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__gamma_8hpp_source.html#l00016">grad_reg_inc_gamma.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a4fefbbf10f04d62902c383f26d98eaee"><div class="ttname"><a href="namespacestan_1_1math.html#a4fefbbf10f04d62902c383f26d98eaee">stan::math::scaled_inv_chi_square_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_dof, T_scale &gt;::type scaled_inv_chi_square_ccdf_log(const T_y &amp;y, const T_dof &amp;nu, const T_scale &amp;s)</div><div class="ttdef"><b>Definition:</b> <a href="scaled__inv__chi__square__ccdf__log_8hpp_source.html#l00033">scaled_inv_chi_square_ccdf_log.hpp:33</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
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+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a743267027c96ebef239be63589a6d594"><div class="ttname"><a href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_q(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__q_8hpp_source.html#l00015">gamma_q.hpp:15</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">scaled_inv_chi_square_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="scaled__inv__chi__square__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_scale &gt; </td></tr>
+<tr class="memitem:aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb">stan::math::scaled_inv_chi_square_cdf</a> (const T_y &amp;y, const T_dof &amp;nu, const T_scale &amp;s)</td></tr>
+<tr class="memdesc:aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb"><td class="mdescLeft">&#160;</td><td class="mdescRight">The CDF of a scaled inverse chi-squared density for y with the specified degrees of freedom parameter and scale parameter.  <a href="namespacestan_1_1math.html#aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb">More...</a><br /></td></tr>
+<tr class="separator:aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">scaled_inv_chi_square_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="scaled__inv__chi__square__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_SCALED_INV_CHI_SQUARE_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_SCALED_INV_CHI_SQUARE_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof, T_scale&gt;::type</div>
+<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb">   48</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb">scaled_inv_chi_square_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                              <span class="keyword">const</span> T_scale&amp; s) {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(s)))</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::scaled_inv_chi_square_cdf&quot;</span>);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, s);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, s);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> s_vec(s);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu, s);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof, T_scale&gt;</a></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        operands_and_partials(y, nu, s);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="comment">// Compute CDF and its gradients</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                    T_partials_return, T_dof&gt; gamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;                    T_partials_return, T_dof&gt; digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          <span class="keyword">const</span> T_partials_return half_nu_dbl = 0.5 * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(half_nu_dbl);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(half_nu_dbl);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        }</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      }</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        }</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keyword">const</span> T_partials_return y_inv_dbl = 1.0 / y_dbl;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keyword">const</span> T_partials_return half_nu_dbl = 0.5 * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keyword">const</span> T_partials_return s_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(s_vec[n]);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        <span class="keyword">const</span> T_partials_return half_s2_overx_dbl = 0.5 * s_dbl * s_dbl</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;          * y_inv_dbl;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keyword">const</span> T_partials_return half_nu_s2_overx_dbl</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;          = 2.0 * half_nu_dbl * half_s2_overx_dbl;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(half_nu_dbl, half_nu_s2_overx_dbl);</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        <span class="keyword">const</span> T_partials_return gamma_p_deriv = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-half_nu_s2_overx_dbl)</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(half_nu_s2_overx_dbl, half_nu_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(half_nu_dbl);</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        P *= Pn;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += half_nu_s2_overx_dbl * y_inv_dbl</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;            * gamma_p_deriv / Pn;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;            += (0.5 * <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(half_nu_dbl,</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;                                                     half_nu_s2_overx_dbl,</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                                                     gamma_vec[n],</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;                                                     digamma_vec[n])</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;                - half_s2_overx_dbl * gamma_p_deriv)</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;            / Pn;</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;            += - 2.0 * half_nu_dbl * s_dbl * y_inv_dbl</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;            * gamma_p_deriv / Pn;</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;      }</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] *= P;</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;      }</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); ++n)</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] *= P;</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;      }</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(s); ++n)</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] *= P;</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;      }</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;    }</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  }</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;}</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb"><div class="ttname"><a href="namespacestan_1_1math.html#aac5ccd3b4bbd2f80b59a6cfaa2a7ebcb">stan::math::scaled_inv_chi_square_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_dof, T_scale &gt;::type scaled_inv_chi_square_cdf(const T_y &amp;y, const T_dof &amp;nu, const T_scale &amp;s)</div><div class="ttdoc">The CDF of a scaled inverse chi-squared density for y with the specified degrees of freedom parameter...</div><div class="ttdef"><b>Definition:</b> <a href="scaled__inv__chi__square__cdf_8hpp_source.html#l00048">scaled_inv_chi_square_cdf.hpp:48</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a743267027c96ebef239be63589a6d594"><div class="ttname"><a href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_q(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__q_8hpp_source.html#l00015">gamma_q.hpp:15</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
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+<div class="title">scaled_inv_chi_square_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="scaled__inv__chi__square__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a6f8d0c1c0ea0a346e972a2b461fb2b51"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_scale &gt; </td></tr>
+<tr class="memitem:a6f8d0c1c0ea0a346e972a2b461fb2b51"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6f8d0c1c0ea0a346e972a2b461fb2b51">stan::math::scaled_inv_chi_square_cdf_log</a> (const T_y &amp;y, const T_dof &amp;nu, const T_scale &amp;s)</td></tr>
+<tr class="separator:a6f8d0c1c0ea0a346e972a2b461fb2b51"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">scaled_inv_chi_square_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="scaled__inv__chi__square__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_SCALED_INV_CHI_SQUARE_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_SCALED_INV_CHI_SQUARE_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof, T_scale&gt;::type</div>
+<div class="line"><a name="l00034"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6f8d0c1c0ea0a346e972a2b461fb2b51">   34</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6f8d0c1c0ea0a346e972a2b461fb2b51">scaled_inv_chi_square_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu,</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;                                  <span class="keyword">const</span> T_scale&amp; s) {</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(s)))</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::scaled_inv_chi_square_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, s);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, s);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
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+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu, s);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof, T_scale&gt;</a></div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        operands_and_partials(y, nu, s);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == 0)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      }</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="comment">// Compute cdf_log and its gradients</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">boost::math::tgamma</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                    T_partials_return, T_dof&gt; gamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                    T_partials_return, T_dof&gt; digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          <span class="keyword">const</span> T_partials_return half_nu_dbl = 0.5 * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          gamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(half_nu_dbl);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          digamma_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(half_nu_dbl);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        }</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      }</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        }</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="comment">// Pull out values</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keyword">const</span> T_partials_return y_inv_dbl = 1.0 / y_dbl;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keyword">const</span> T_partials_return half_nu_dbl = 0.5 * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keyword">const</span> T_partials_return s_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(s_vec[n]);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keyword">const</span> T_partials_return half_s2_overx_dbl = 0.5 * s_dbl * s_dbl</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          * y_inv_dbl;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return half_nu_s2_overx_dbl</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          = 2.0 * half_nu_dbl * half_s2_overx_dbl;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="comment">// Compute</span></div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keyword">const</span> T_partials_return Pn = <a class="code" href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">gamma_q</a>(half_nu_dbl, half_nu_s2_overx_dbl);</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keyword">const</span> T_partials_return gamma_p_deriv = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-half_nu_s2_overx_dbl)</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(half_nu_s2_overx_dbl, half_nu_dbl-1) / <a class="code" href="namespacestan_1_1math.html#a73eaf0a5d0593bb8610234e0d69e7cec">tgamma</a>(half_nu_dbl);</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += half_nu_s2_overx_dbl * y_inv_dbl</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            * gamma_p_deriv / Pn;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            += (0.5 * <a class="code" href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a>(half_nu_dbl,</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;                                                     half_nu_s2_overx_dbl,</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;                                                     gamma_vec[n],</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                                                     digamma_vec[n])</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                - half_s2_overx_dbl * gamma_p_deriv)</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;            / Pn;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += - 2.0 * half_nu_dbl * s_dbl</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            * y_inv_dbl * gamma_p_deriv / Pn;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;      }</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    }</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;  }</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;}</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6336e9873f3029f5abe54c4914c71cb2"><div class="ttname"><a href="namespacestan_1_1math.html#a6336e9873f3029f5abe54c4914c71cb2">stan::math::grad_reg_inc_gamma</a></div><div class="ttdeci">T grad_reg_inc_gamma(T a, T z, T g, T dig, T precision=1e-6)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__gamma_8hpp_source.html#l00016">grad_reg_inc_gamma.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6f8d0c1c0ea0a346e972a2b461fb2b51"><div class="ttname"><a href="namespacestan_1_1math.html#a6f8d0c1c0ea0a346e972a2b461fb2b51">stan::math::scaled_inv_chi_square_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_dof, T_scale &gt;::type scaled_inv_chi_square_cdf_log(const T_y &amp;y, const T_dof &amp;nu, const T_scale &amp;s)</div><div class="ttdef"><b>Definition:</b> <a href="scaled__inv__chi__square__cdf__log_8hpp_source.html#l00034">scaled_inv_chi_square_cdf_log.hpp:34</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a743267027c96ebef239be63589a6d594"><div class="ttname"><a href="namespacestan_1_1math.html#a743267027c96ebef239be63589a6d594">stan::math::gamma_q</a></div><div class="ttdeci">fvar&lt; T &gt; gamma_q(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2gamma__q_8hpp_source.html#l00015">gamma_q.hpp:15</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="title">scaled_inv_chi_square_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="scaled__inv__chi__square__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aa760eab5a913100acb5ad73851ec520f"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_dof , typename T_scale &gt; </td></tr>
+<tr class="memitem:aa760eab5a913100acb5ad73851ec520f"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa760eab5a913100acb5ad73851ec520f">stan::math::scaled_inv_chi_square_log</a> (const T_y &amp;y, const T_dof &amp;nu, const T_scale &amp;s)</td></tr>
+<tr class="memdesc:aa760eab5a913100acb5ad73851ec520f"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of a scaled inverse chi-squared density for y with the specified degrees of freedom parameter and scale parameter.  <a href="namespacestan_1_1math.html#aa760eab5a913100acb5ad73851ec520f">More...</a><br /></td></tr>
+<tr class="separator:aa760eab5a913100acb5ad73851ec520f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a469a0510198f66cfb4a23d9f0d185541"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_scale &gt; </td></tr>
+<tr class="memitem:a469a0510198f66cfb4a23d9f0d185541"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a469a0510198f66cfb4a23d9f0d185541">stan::math::scaled_inv_chi_square_log</a> (const T_y &amp;y, const T_dof &amp;nu, const T_scale &amp;s)</td></tr>
+<tr class="separator:a469a0510198f66cfb4a23d9f0d185541"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">scaled_inv_chi_square_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="scaled__inv__chi__square__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_SCALED_INV_CHI_SQUARE_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_SCALED_INV_CHI_SQUARE_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof, T_scale&gt;::type</div>
+<div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa760eab5a913100acb5ad73851ec520f">   53</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa760eab5a913100acb5ad73851ec520f">scaled_inv_chi_square_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu, <span class="keyword">const</span> T_scale&amp; s) {</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::scaled_inv_chi_square_log&quot;</span>);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu)</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(s)))</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, s);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu,</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, s);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> s_vec(s);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu, s);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) &lt;= 0)</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      }</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a>;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_dof, T_y, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;                    T_partials_return, T_dof&gt; half_nu(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu); i++)</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof, T_y, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          half_nu[i] = 0.5 * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_dof, T_y&gt;::value</a>,</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;                    T_partials_return, T_y&gt; log_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); i++)</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof, T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          log_y[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]));</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_dof, T_y, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                    T_partials_return, T_y&gt; inv_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); i++)</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof, T_y, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          inv_y[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_dof, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                    T_partials_return, T_scale&gt; log_s(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(s));</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(s); i++)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          log_s[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(s_vec[i]));</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                    T_partials_return, T_dof&gt; log_half_nu(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                    T_partials_return, T_dof&gt; lgamma_half_nu(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        digamma_half_nu_over_two(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu); i++) {</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;          lgamma_half_nu[i] = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(half_nu[i]);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;          log_half_nu[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(half_nu[i]);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;          digamma_half_nu_over_two[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(half_nu[i]) * 0.5;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;      }</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof, T_scale&gt;</a></div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        operands_and_partials(y, nu, s);</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keyword">const</span> T_partials_return s_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(s_vec[n]);</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;          logp += half_nu[n] * log_half_nu[n] - lgamma_half_nu[n];</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;          logp += nu_dbl * log_s[n];</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof, T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;          logp -= (half_nu[n]+1.0) * log_y[n];</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof, T_y, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;          logp -= half_nu[n] * s_dbl*s_dbl * inv_y[n];</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;            += -(half_nu[n] + 1.0) * inv_y[n]</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            + half_nu[n] * s_dbl*s_dbl * inv_y[n]*inv_y[n];</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        }</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;            += 0.5 * log_half_nu[n] + 0.5</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;            - digamma_half_nu_over_two[n]</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;            + log_s[n]</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            - 0.5 * log_y[n]</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;            - 0.5* s_dbl*s_dbl * inv_y[n];</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        }</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;            += nu_dbl / s_dbl - nu_dbl * inv_y[n] * s_dbl;</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;        }</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;      }</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    }</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_dof, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00175"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a469a0510198f66cfb4a23d9f0d185541">  175</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa760eab5a913100acb5ad73851ec520f">scaled_inv_chi_square_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu, <span class="keyword">const</span> T_scale&amp; s) {</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;      <span class="keywordflow">return</span> scaled_inv_chi_square_log&lt;false&gt;(y, nu, s);</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    }</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;  }</div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;}</div>
+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aead76f03bdbc60484ad760fc31bad40f"><div class="ttname"><a href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a></div><div class="ttdeci">fvar&lt; T &gt; lgamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lgamma_8hpp_source.html#l00015">lgamma.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa760eab5a913100acb5ad73851ec520f"><div class="ttname"><a href="namespacestan_1_1math.html#aa760eab5a913100acb5ad73851ec520f">stan::math::scaled_inv_chi_square_log</a></div><div class="ttdeci">return_type&lt; T_y, T_dof, T_scale &gt;::type scaled_inv_chi_square_log(const T_y &amp;y, const T_dof &amp;nu, const T_scale &amp;s)</div><div class="ttdoc">The log of a scaled inverse chi-squared density for y with the specified degrees of freedom parameter...</div><div class="ttdef"><b>Definition:</b> <a href="scaled__inv__chi__square__log_8hpp_source.html#l00053">scaled_inv_chi_square_log.hpp:53</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="title">scaled_inv_chi_square_rng.hpp File Reference</div>  </div>
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+<div class="textblock"><code>#include &lt;boost/random/chi_squared_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2gamma__q_8hpp_source.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__gamma_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</code><br />
+</div>
+<p><a href="scaled__inv__chi__square__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:aefb144e1487af0dcab52c5f47fcbc93f"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:aefb144e1487af0dcab52c5f47fcbc93f"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aefb144e1487af0dcab52c5f47fcbc93f">stan::math::scaled_inv_chi_square_rng</a> (const double nu, const double s, RNG &amp;rng)</td></tr>
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+<div class="title">scaled_inv_chi_square_rng.hpp</div>  </div>
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+<a href="scaled__inv__chi__square__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_SCALED_INV_CHI_SQUARE_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_SCALED_INV_CHI_SQUARE_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/chi_squared_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2gamma__q_8hpp.html">stan/math/prim/scal/fun/gamma_q.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__gamma_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_gamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aefb144e1487af0dcab52c5f47fcbc93f">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aefb144e1487af0dcab52c5f47fcbc93f">scaled_inv_chi_square_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> nu,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                              <span class="keyword">const</span> <span class="keywordtype">double</span> s,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                              RNG&amp; rng) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> boost::random::chi_squared_distribution;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::scaled_inv_chi_square_rng&quot;</span>);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, s);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      variate_generator&lt;RNG&amp;, chi_squared_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <a class="code" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">chi_square_rng</a>(rng, chi_squared_distribution&lt;&gt;(nu));</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">return</span> nu * s / <a class="code" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">chi_square_rng</a>();</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    }</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  }</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;}</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aefb144e1487af0dcab52c5f47fcbc93f"><div class="ttname"><a href="namespacestan_1_1math.html#aefb144e1487af0dcab52c5f47fcbc93f">stan::math::scaled_inv_chi_square_rng</a></div><div class="ttdeci">double scaled_inv_chi_square_rng(const double nu, const double s, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="scaled__inv__chi__square__rng_8hpp_source.html#l00028">scaled_inv_chi_square_rng.hpp:28</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac1653e58694ea92bc1781e5d332c31e8"><div class="ttname"><a href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">stan::math::chi_square_rng</a></div><div class="ttdeci">double chi_square_rng(const double nu, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="chi__square__rng_8hpp_source.html#l00024">chi_square_rng.hpp:24</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2gamma__q_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2gamma__q_8hpp.html">gamma_q.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__gamma_8hpp_html"><div class="ttname"><a href="grad__reg__inc__gamma_8hpp.html">grad_reg_inc_gamma.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
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+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/doc/api/html/search/related_0.js b/doc/api/html/search/related_0.js
new file mode 100644
index 00000000000..c9156baa878
--- /dev/null
+++ b/doc/api/html/search/related_0.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['operator_3c_3c',['operator&lt;&lt;',['../structstan_1_1math_1_1fvar.html#a2225724f72699f1d59e9aecc1b98f2b4',1,'stan::math::fvar::operator&lt;&lt;()'],['../classstan_1_1math_1_1var.html#a3545860122fa159c57e23dd0fbfbf5cd',1,'stan::math::var::operator&lt;&lt;()'],['../classstan_1_1math_1_1vari.html#abd24d4e4eb6b0c65c8447bd2cc73b200',1,'stan::math::vari::operator&lt;&lt;()']]]
+];
diff --git a/doc/api/html/search/related_1.html b/doc/api/html/search/related_1.html
new file mode 100644
index 00000000000..e5320aa9d23
--- /dev/null
+++ b/doc/api/html/search/related_1.html
@@ -0,0 +1,26 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html><head><title></title>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<link rel="stylesheet" type="text/css" href="search.css"/>
+<script type="text/javascript" src="related_1.js"></script>
+<script type="text/javascript" src="search.js"></script>
+</head>
+<body class="SRPage">
+<div id="SRIndex">
+<div class="SRStatus" id="Loading">Loading...</div>
+<div id="SRResults"></div>
+<script type="text/javascript"><!--
+createResults();
+--></script>
+<div class="SRStatus" id="Searching">Searching...</div>
+<div class="SRStatus" id="NoMatches">No Matches</div>
+<script type="text/javascript"><!--
+document.getElementById("Loading").style.display="none";
+document.getElementById("NoMatches").style.display="none";
+var searchResults = new SearchResults("searchResults");
+searchResults.Search();
+--></script>
+</div>
+</body>
+</html>
diff --git a/doc/api/html/search/related_1.js b/doc/api/html/search/related_1.js
new file mode 100644
index 00000000000..8c74da51ad6
--- /dev/null
+++ b/doc/api/html/search/related_1.js
@@ -0,0 +1,4 @@
+var searchData=
+[
+  ['var',['var',['../classstan_1_1math_1_1vari.html#afc150fe027cd12dd501a9d615a787f19',1,'stan::math::vari']]]
+];
diff --git a/doc/api/html/search/search.css b/doc/api/html/search/search.css
new file mode 100644
index 00000000000..4d7612ff63e
--- /dev/null
+++ b/doc/api/html/search/search.css
@@ -0,0 +1,271 @@
+/*---------------- Search Box */
+
+#FSearchBox {
+    float: left;
+}
+
+#MSearchBox {
+    white-space : nowrap;
+    position: absolute;
+    float: none;
+    display: inline;
+    margin-top: 8px;
+    right: 0px;
+    width: 170px;
+    z-index: 102;
+    background-color: white;
+}
+
+#MSearchBox .left
+{
+    display:block;
+    position:absolute;
+    left:10px;
+    width:20px;
+    height:19px;
+    background:url('search_l.png') no-repeat;
+    background-position:right;
+}
+
+#MSearchSelect {
+    display:block;
+    position:absolute;
+    width:20px;
+    height:19px;
+}
+
+.left #MSearchSelect {
+    left:4px;
+}
+
+.right #MSearchSelect {
+    right:5px;
+}
+
+#MSearchField {
+    display:block;
+    position:absolute;
+    height:19px;
+    background:url('search_m.png') repeat-x;
+    border:none;
+    width:111px;
+    margin-left:20px;
+    padding-left:4px;
+    color: #909090;
+    outline: none;
+    font: 9pt Arial, Verdana, sans-serif;
+}
+
+#FSearchBox #MSearchField {
+    margin-left:15px;
+}
+
+#MSearchBox .right {
+    display:block;
+    position:absolute;
+    right:10px;
+    top:0px;
+    width:20px;
+    height:19px;
+    background:url('search_r.png') no-repeat;
+    background-position:left;
+}
+
+#MSearchClose {
+    display: none;
+    position: absolute;
+    top: 4px;
+    background : none;
+    border: none;
+    margin: 0px 4px 0px 0px;
+    padding: 0px 0px;
+    outline: none;
+}
+
+.left #MSearchClose {
+    left: 6px;
+}
+
+.right #MSearchClose {
+    right: 2px;
+}
+
+.MSearchBoxActive #MSearchField {
+    color: #000000;
+}
+
+/*---------------- Search filter selection */
+
+#MSearchSelectWindow {
+    display: none;
+    position: absolute;
+    left: 0; top: 0;
+    border: 1px solid #90A5CE;
+    background-color: #F9FAFC;
+    z-index: 1;
+    padding-top: 4px;
+    padding-bottom: 4px;
+    -moz-border-radius: 4px;
+    -webkit-border-top-left-radius: 4px;
+    -webkit-border-top-right-radius: 4px;
+    -webkit-border-bottom-left-radius: 4px;
+    -webkit-border-bottom-right-radius: 4px;
+    -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15);
+}
+
+.SelectItem {
+    font: 8pt Arial, Verdana, sans-serif;
+    padding-left:  2px;
+    padding-right: 12px;
+    border: 0px;
+}
+
+span.SelectionMark {
+    margin-right: 4px;
+    font-family: monospace;
+    outline-style: none;
+    text-decoration: none;
+}
+
+a.SelectItem {
+    display: block;
+    outline-style: none;
+    color: #000000; 
+    text-decoration: none;
+    padding-left:   6px;
+    padding-right: 12px;
+}
+
+a.SelectItem:focus,
+a.SelectItem:active {
+    color: #000000; 
+    outline-style: none;
+    text-decoration: none;
+}
+
+a.SelectItem:hover {
+    color: #FFFFFF;
+    background-color: #3D578C;
+    outline-style: none;
+    text-decoration: none;
+    cursor: pointer;
+    display: block;
+}
+
+/*---------------- Search results window */
+
+iframe#MSearchResults {
+    width: 60ex;
+    height: 15em;
+}
+
+#MSearchResultsWindow {
+    display: none;
+    position: absolute;
+    left: 0; top: 0;
+    border: 1px solid #000;
+    background-color: #EEF1F7;
+}
+
+/* ----------------------------------- */
+
+
+#SRIndex {
+    clear:both; 
+    padding-bottom: 15px;
+}
+
+.SREntry {
+    font-size: 10pt;
+    padding-left: 1ex;
+}
+
+.SRPage .SREntry {
+    font-size: 8pt;
+    padding: 1px 5px;
+}
+
+body.SRPage {
+    margin: 5px 2px;
+}
+
+.SRChildren {
+    padding-left: 3ex; padding-bottom: .5em 
+}
+
+.SRPage .SRChildren {
+    display: none;
+}
+
+.SRSymbol {
+    font-weight: bold; 
+    color: #425E97;
+    font-family: Arial, Verdana, sans-serif;
+    text-decoration: none;
+    outline: none;
+}
+
+a.SRScope {
+    display: block;
+    color: #425E97; 
+    font-family: Arial, Verdana, sans-serif;
+    text-decoration: none;
+    outline: none;
+}
+
+a.SRSymbol:focus, a.SRSymbol:active,
+a.SRScope:focus, a.SRScope:active {
+    text-decoration: underline;
+}
+
+span.SRScope {
+    padding-left: 4px;
+}
+
+.SRPage .SRStatus {
+    padding: 2px 5px;
+    font-size: 8pt;
+    font-style: italic;
+}
+
+.SRResult {
+    display: none;
+}
+
+DIV.searchresults {
+    margin-left: 10px;
+    margin-right: 10px;
+}
+
+/*---------------- External search page results */
+
+.searchresult {
+    background-color: #F0F3F8;
+}
+
+.pages b {
+   color: white;
+   padding: 5px 5px 3px 5px;
+   background-image: url("../tab_a.png");
+   background-repeat: repeat-x;
+   text-shadow: 0 1px 1px #000000;
+}
+
+.pages {
+    line-height: 17px;
+    margin-left: 4px;
+    text-decoration: none;
+}
+
+.hl {
+    font-weight: bold;
+}
+
+#searchresults {
+    margin-bottom: 20px;
+}
+
+.searchpages {
+    margin-top: 10px;
+}
+
diff --git a/doc/api/html/search/search.js b/doc/api/html/search/search.js
new file mode 100644
index 00000000000..dedce3bf093
--- /dev/null
+++ b/doc/api/html/search/search.js
@@ -0,0 +1,791 @@
+function convertToId(search)
+{
+  var result = '';
+  for (i=0;i<search.length;i++)
+  {
+    var c = search.charAt(i);
+    var cn = c.charCodeAt(0);
+    if (c.match(/[a-z0-9\u0080-\uFFFF]/))
+    {
+      result+=c;
+    }
+    else if (cn<16)
+    {
+      result+="_0"+cn.toString(16);
+    }
+    else
+    {
+      result+="_"+cn.toString(16);
+    }
+  }
+  return result;
+}
+
+function getXPos(item)
+{
+  var x = 0;
+  if (item.offsetWidth)
+  {
+    while (item && item!=document.body)
+    {
+      x   += item.offsetLeft;
+      item = item.offsetParent;
+    }
+  }
+  return x;
+}
+
+function getYPos(item)
+{
+  var y = 0;
+  if (item.offsetWidth)
+  {
+     while (item && item!=document.body)
+     {
+       y   += item.offsetTop;
+       item = item.offsetParent;
+     }
+  }
+  return y;
+}
+
+/* A class handling everything associated with the search panel.
+
+   Parameters:
+   name - The name of the global variable that will be
+          storing this instance.  Is needed to be able to set timeouts.
+   resultPath - path to use for external files
+*/
+function SearchBox(name, resultsPath, inFrame, label)
+{
+  if (!name || !resultsPath) {  alert("Missing parameters to SearchBox."); }
+
+  // ---------- Instance variables
+  this.name                  = name;
+  this.resultsPath           = resultsPath;
+  this.keyTimeout            = 0;
+  this.keyTimeoutLength      = 500;
+  this.closeSelectionTimeout = 300;
+  this.lastSearchValue       = "";
+  this.lastResultsPage       = "";
+  this.hideTimeout           = 0;
+  this.searchIndex           = 0;
+  this.searchActive          = false;
+  this.insideFrame           = inFrame;
+  this.searchLabel           = label;
+
+  // ----------- DOM Elements
+
+  this.DOMSearchField = function()
+  {  return document.getElementById("MSearchField");  }
+
+  this.DOMSearchSelect = function()
+  {  return document.getElementById("MSearchSelect");  }
+
+  this.DOMSearchSelectWindow = function()
+  {  return document.getElementById("MSearchSelectWindow");  }
+
+  this.DOMPopupSearchResults = function()
+  {  return document.getElementById("MSearchResults");  }
+
+  this.DOMPopupSearchResultsWindow = function()
+  {  return document.getElementById("MSearchResultsWindow");  }
+
+  this.DOMSearchClose = function()
+  {  return document.getElementById("MSearchClose"); }
+
+  this.DOMSearchBox = function()
+  {  return document.getElementById("MSearchBox");  }
+
+  // ------------ Event Handlers
+
+  // Called when focus is added or removed from the search field.
+  this.OnSearchFieldFocus = function(isActive)
+  {
+    this.Activate(isActive);
+  }
+
+  this.OnSearchSelectShow = function()
+  {
+    var searchSelectWindow = this.DOMSearchSelectWindow();
+    var searchField        = this.DOMSearchSelect();
+
+    if (this.insideFrame)
+    {
+      var left = getXPos(searchField);
+      var top  = getYPos(searchField);
+      left += searchField.offsetWidth + 6;
+      top += searchField.offsetHeight;
+
+      // show search selection popup
+      searchSelectWindow.style.display='block';
+      left -= searchSelectWindow.offsetWidth;
+      searchSelectWindow.style.left =  left + 'px';
+      searchSelectWindow.style.top  =  top  + 'px';
+    }
+    else
+    {
+      var left = getXPos(searchField);
+      var top  = getYPos(searchField);
+      top += searchField.offsetHeight;
+
+      // show search selection popup
+      searchSelectWindow.style.display='block';
+      searchSelectWindow.style.left =  left + 'px';
+      searchSelectWindow.style.top  =  top  + 'px';
+    }
+
+    // stop selection hide timer
+    if (this.hideTimeout)
+    {
+      clearTimeout(this.hideTimeout);
+      this.hideTimeout=0;
+    }
+    return false; // to avoid "image drag" default event
+  }
+
+  this.OnSearchSelectHide = function()
+  {
+    this.hideTimeout = setTimeout(this.name +".CloseSelectionWindow()",
+                                  this.closeSelectionTimeout);
+  }
+
+  // Called when the content of the search field is changed.
+  this.OnSearchFieldChange = function(evt)
+  {
+    if (this.keyTimeout) // kill running timer
+    {
+      clearTimeout(this.keyTimeout);
+      this.keyTimeout = 0;
+    }
+
+    var e  = (evt) ? evt : window.event; // for IE
+    if (e.keyCode==40 || e.keyCode==13)
+    {
+      if (e.shiftKey==1)
+      {
+        this.OnSearchSelectShow();
+        var win=this.DOMSearchSelectWindow();
+        for (i=0;i<win.childNodes.length;i++)
+        {
+          var child = win.childNodes[i]; // get span within a
+          if (child.className=='SelectItem')
+          {
+            child.focus();
+            return;
+          }
+        }
+        return;
+      }
+      else if (window.frames.MSearchResults.searchResults)
+      {
+        var elem = window.frames.MSearchResults.searchResults.NavNext(0);
+        if (elem) elem.focus();
+      }
+    }
+    else if (e.keyCode==27) // Escape out of the search field
+    {
+      this.DOMSearchField().blur();
+      this.DOMPopupSearchResultsWindow().style.display = 'none';
+      this.DOMSearchClose().style.display = 'none';
+      this.lastSearchValue = '';
+      this.Activate(false);
+      return;
+    }
+
+    // strip whitespaces
+    var searchValue = this.DOMSearchField().value.replace(/ +/g, "");
+
+    if (searchValue != this.lastSearchValue) // search value has changed
+    {
+      if (searchValue != "") // non-empty search
+      {
+        // set timer for search update
+        this.keyTimeout = setTimeout(this.name + '.Search()',
+                                     this.keyTimeoutLength);
+      }
+      else // empty search field
+      {
+        this.DOMPopupSearchResultsWindow().style.display = 'none';
+        this.DOMSearchClose().style.display = 'none';
+        this.lastSearchValue = '';
+      }
+    }
+  }
+
+  this.SelectItemCount = function(id)
+  {
+    var count=0;
+    var win=this.DOMSearchSelectWindow();
+    for (i=0;i<win.childNodes.length;i++)
+    {
+      var child = win.childNodes[i]; // get span within a
+      if (child.className=='SelectItem')
+      {
+        count++;
+      }
+    }
+    return count;
+  }
+
+  this.SelectItemSet = function(id)
+  {
+    var i,j=0;
+    var win=this.DOMSearchSelectWindow();
+    for (i=0;i<win.childNodes.length;i++)
+    {
+      var child = win.childNodes[i]; // get span within a
+      if (child.className=='SelectItem')
+      {
+        var node = child.firstChild;
+        if (j==id)
+        {
+          node.innerHTML='&#8226;';
+        }
+        else
+        {
+          node.innerHTML='&#160;';
+        }
+        j++;
+      }
+    }
+  }
+
+  // Called when an search filter selection is made.
+  // set item with index id as the active item
+  this.OnSelectItem = function(id)
+  {
+    this.searchIndex = id;
+    this.SelectItemSet(id);
+    var searchValue = this.DOMSearchField().value.replace(/ +/g, "");
+    if (searchValue!="" && this.searchActive) // something was found -> do a search
+    {
+      this.Search();
+    }
+  }
+
+  this.OnSearchSelectKey = function(evt)
+  {
+    var e = (evt) ? evt : window.event; // for IE
+    if (e.keyCode==40 && this.searchIndex<this.SelectItemCount()) // Down
+    {
+      this.searchIndex++;
+      this.OnSelectItem(this.searchIndex);
+    }
+    else if (e.keyCode==38 && this.searchIndex>0) // Up
+    {
+      this.searchIndex--;
+      this.OnSelectItem(this.searchIndex);
+    }
+    else if (e.keyCode==13 || e.keyCode==27)
+    {
+      this.OnSelectItem(this.searchIndex);
+      this.CloseSelectionWindow();
+      this.DOMSearchField().focus();
+    }
+    return false;
+  }
+
+  // --------- Actions
+
+  // Closes the results window.
+  this.CloseResultsWindow = function()
+  {
+    this.DOMPopupSearchResultsWindow().style.display = 'none';
+    this.DOMSearchClose().style.display = 'none';
+    this.Activate(false);
+  }
+
+  this.CloseSelectionWindow = function()
+  {
+    this.DOMSearchSelectWindow().style.display = 'none';
+  }
+
+  // Performs a search.
+  this.Search = function()
+  {
+    this.keyTimeout = 0;
+
+    // strip leading whitespace
+    var searchValue = this.DOMSearchField().value.replace(/^ +/, "");
+
+    var code = searchValue.toLowerCase().charCodeAt(0);
+    var idxChar = searchValue.substr(0, 1).toLowerCase();
+    if ( 0xD800 <= code && code <= 0xDBFF && searchValue > 1) // surrogate pair
+    {
+      idxChar = searchValue.substr(0, 2);
+    }
+
+    var resultsPage;
+    var resultsPageWithSearch;
+    var hasResultsPage;
+
+    var idx = indexSectionsWithContent[this.searchIndex].indexOf(idxChar);
+    if (idx!=-1)
+    {
+       var hexCode=idx.toString(16);
+       resultsPage = this.resultsPath + '/' + indexSectionNames[this.searchIndex] + '_' + hexCode + '.html';
+       resultsPageWithSearch = resultsPage+'?'+escape(searchValue);
+       hasResultsPage = true;
+    }
+    else // nothing available for this search term
+    {
+       resultsPage = this.resultsPath + '/nomatches.html';
+       resultsPageWithSearch = resultsPage;
+       hasResultsPage = false;
+    }
+
+    window.frames.MSearchResults.location = resultsPageWithSearch;
+    var domPopupSearchResultsWindow = this.DOMPopupSearchResultsWindow();
+
+    if (domPopupSearchResultsWindow.style.display!='block')
+    {
+       var domSearchBox = this.DOMSearchBox();
+       this.DOMSearchClose().style.display = 'inline';
+       if (this.insideFrame)
+       {
+         var domPopupSearchResults = this.DOMPopupSearchResults();
+         domPopupSearchResultsWindow.style.position = 'relative';
+         domPopupSearchResultsWindow.style.display  = 'block';
+         var width = document.body.clientWidth - 8; // the -8 is for IE :-(
+         domPopupSearchResultsWindow.style.width    = width + 'px';
+         domPopupSearchResults.style.width          = width + 'px';
+       }
+       else
+       {
+         var domPopupSearchResults = this.DOMPopupSearchResults();
+         var left = getXPos(domSearchBox) + 150; // domSearchBox.offsetWidth;
+         var top  = getYPos(domSearchBox) + 20;  // domSearchBox.offsetHeight + 1;
+         domPopupSearchResultsWindow.style.display = 'block';
+         left -= domPopupSearchResults.offsetWidth;
+         domPopupSearchResultsWindow.style.top     = top  + 'px';
+         domPopupSearchResultsWindow.style.left    = left + 'px';
+       }
+    }
+
+    this.lastSearchValue = searchValue;
+    this.lastResultsPage = resultsPage;
+  }
+
+  // -------- Activation Functions
+
+  // Activates or deactivates the search panel, resetting things to
+  // their default values if necessary.
+  this.Activate = function(isActive)
+  {
+    if (isActive || // open it
+        this.DOMPopupSearchResultsWindow().style.display == 'block'
+       )
+    {
+      this.DOMSearchBox().className = 'MSearchBoxActive';
+
+      var searchField = this.DOMSearchField();
+
+      if (searchField.value == this.searchLabel) // clear "Search" term upon entry
+      {
+        searchField.value = '';
+        this.searchActive = true;
+      }
+    }
+    else if (!isActive) // directly remove the panel
+    {
+      this.DOMSearchBox().className = 'MSearchBoxInactive';
+      this.DOMSearchField().value   = this.searchLabel;
+      this.searchActive             = false;
+      this.lastSearchValue          = ''
+      this.lastResultsPage          = '';
+    }
+  }
+}
+
+// -----------------------------------------------------------------------
+
+// The class that handles everything on the search results page.
+function SearchResults(name)
+{
+    // The number of matches from the last run of <Search()>.
+    this.lastMatchCount = 0;
+    this.lastKey = 0;
+    this.repeatOn = false;
+
+    // Toggles the visibility of the passed element ID.
+    this.FindChildElement = function(id)
+    {
+      var parentElement = document.getElementById(id);
+      var element = parentElement.firstChild;
+
+      while (element && element!=parentElement)
+      {
+        if (element.nodeName == 'DIV' && element.className == 'SRChildren')
+        {
+          return element;
+        }
+
+        if (element.nodeName == 'DIV' && element.hasChildNodes())
+        {
+           element = element.firstChild;
+        }
+        else if (element.nextSibling)
+        {
+           element = element.nextSibling;
+        }
+        else
+        {
+          do
+          {
+            element = element.parentNode;
+          }
+          while (element && element!=parentElement && !element.nextSibling);
+
+          if (element && element!=parentElement)
+          {
+            element = element.nextSibling;
+          }
+        }
+      }
+    }
+
+    this.Toggle = function(id)
+    {
+      var element = this.FindChildElement(id);
+      if (element)
+      {
+        if (element.style.display == 'block')
+        {
+          element.style.display = 'none';
+        }
+        else
+        {
+          element.style.display = 'block';
+        }
+      }
+    }
+
+    // Searches for the passed string.  If there is no parameter,
+    // it takes it from the URL query.
+    //
+    // Always returns true, since other documents may try to call it
+    // and that may or may not be possible.
+    this.Search = function(search)
+    {
+      if (!search) // get search word from URL
+      {
+        search = window.location.search;
+        search = search.substring(1);  // Remove the leading '?'
+        search = unescape(search);
+      }
+
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+<div class="title">segment.hpp</div>  </div>
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+<a href="segment_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_SEGMENT_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e9dd0895901bf876eca824b41f04003"><div class="ttname"><a href="namespacestan_1_1math.html#a5e9dd0895901bf876eca824b41f04003">stan::math::check_less_or_equal</a></div><div class="ttdeci">bool check_less_or_equal(const char *function, const char *name, const T_y &amp;y, const T_high &amp;high)</div><div class="ttdoc">Return true if y is less or equal to high. </div><div class="ttdef"><b>Definition:</b> <a href="check__less__or__equal_8hpp_source.html#l00081">check_less_or_equal.hpp:81</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad87f51c66f702f242b3c5d207896f5d8"><div class="ttname"><a href="namespacestan_1_1math.html#ad87f51c66f702f242b3c5d207896f5d8">stan::math::segment</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; segment(const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;v, size_t i, size_t n)</div><div class="ttdoc">Return the specified number of elements as a vector starting from the specified element - 1 of the sp...</div><div class="ttdef"><b>Definition:</b> <a href="segment_8hpp_source.html#l00019">segment.hpp:19</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><div class="ttname"><a href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a></div><div class="ttdeci">bool check_greater(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is strictly greater than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater_8hpp_source.html#l00084">check_greater.hpp:84</a></div></div>
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+<div class="title">seq_view.hpp</div>  </div>
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+<a href="seq__view_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_META_SEQ_VIEW_HPP</span></div>
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+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;                        &lt;std::vector&lt;std::vector&lt;T&gt; &gt; &gt;::type x)</div>
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+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4_html_aafd342f1f6f9851fd8f8e3494b36068e"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#aafd342f1f6f9851fd8f8e3494b36068e">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;::operator[]</a></div><div class="ttdeci">pass_type&lt; T &gt;::type operator[](int n) const </div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00087">seq_view.hpp:87</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1pass__type_3_01int_01_4_html_a6e1bfc775f016451ab261ecede07402c"><div class="ttname"><a href="structstan_1_1math_1_1pass__type_3_01int_01_4.html#a6e1bfc775f016451ab261ecede07402c">stan::math::pass_type&lt; int &gt;::type</a></div><div class="ttdeci">int type</div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00036">seq_view.hpp:36</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4_html_ae570c324a14b81a018475195a77e4430"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#ae570c324a14b81a018475195a77e4430">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;::seq_view</a></div><div class="ttdeci">seq_view(typename pass_type&lt; Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;::type x)</div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00063">seq_view.hpp:63</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4_html_af56447dd766a3a5a9d6c97b0a2de9563"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#af56447dd766a3a5a9d6c97b0a2de9563">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;::size</a></div><div class="ttdeci">int size() const </div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00189">seq_view.hpp:189</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1pass__type_html"><div class="ttname"><a href="structstan_1_1math_1_1pass__type.html">stan::math::pass_type</a></div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00027">seq_view.hpp:27</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4_html_a05bbd23ec952656521365f99d575a64c"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#a05bbd23ec952656521365f99d575a64c">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;::operator[]</a></div><div class="ttdeci">pass_type&lt; double &gt;::type operator[](int n) const </div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00186">seq_view.hpp:186</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4_html_a42ff5c63f8f83390fc7c585b41c0d5ed"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a42ff5c63f8f83390fc7c585b41c0d5ed">stan::math::seq_view&lt; T, std::vector&lt; S &gt; &gt;::seq_view</a></div><div class="ttdeci">seq_view(typename pass_type&lt; std::vector&lt; S &gt; &gt;::type x)</div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00125">seq_view.hpp:125</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4_html_a3284abfb2471ad555d43a8693658c5ec"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a3284abfb2471ad555d43a8693658c5ec">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;::size</a></div><div class="ttdeci">int size() const </div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00071">seq_view.hpp:71</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4_html_ad82423565c559cd4e889350bc204319b"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01double_00_01std_1_1vector_3_01int_01_4_01_4.html#ad82423565c559cd4e889350bc204319b">stan::math::seq_view&lt; double, std::vector&lt; int &gt; &gt;::seq_view</a></div><div class="ttdeci">seq_view(pass_type&lt; std::vector&lt; int &gt; &gt;::type x)</div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00183">seq_view.hpp:183</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4_html_ab81a7a5c2de89631c7aec2ab701854a1"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#ab81a7a5c2de89631c7aec2ab701854a1">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;::size</a></div><div class="ttdeci">int size() const </div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00173">seq_view.hpp:173</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4_html_ac35e60cb3f9e9f4dde81b8ed3b532a2b"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#ac35e60cb3f9e9f4dde81b8ed3b532a2b">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;::seq_view</a></div><div class="ttdeci">seq_view(typename pass_type&lt; std::vector&lt; std::vector&lt; T &gt; &gt; &gt;::type x)</div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00165">seq_view.hpp:165</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4_html_ab45edf39aad64a4093db924b02322af9"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#ab45edf39aad64a4093db924b02322af9">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::operator[]</a></div><div class="ttdeci">pass_type&lt; T &gt;::type operator[](int n) const </div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00110">seq_view.hpp:110</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4_html_afe1bd346e72ac6adc53826801a7e54f2"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#afe1bd346e72ac6adc53826801a7e54f2">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;::operator[]</a></div><div class="ttdeci">pass_type&lt; T &gt;::type operator[](int n) const </div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00149">seq_view.hpp:149</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_html"><div class="ttname"><a href="classstan_1_1math_1_1seq__view.html">stan::math::seq_view</a></div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00042">seq_view.hpp:42</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1store__type_3_01int_01_4_html_aa10e456268690936392e9ea31e24645f"><div class="ttname"><a href="structstan_1_1math_1_1store__type_3_01int_01_4.html#aa10e456268690936392e9ea31e24645f">stan::math::store_type&lt; int &gt;::type</a></div><div class="ttdeci">const int type</div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00022">seq_view.hpp:22</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4_html_a6466225a392d75a98f0ae43c5f001820"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a6466225a392d75a98f0ae43c5f001820">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;::operator[]</a></div><div class="ttdeci">pass_type&lt; T &gt;::type operator[](int n) const </div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00068">seq_view.hpp:68</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4_html_aa8d34d4dd171acbd81d642aea1b8b61e"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01std_1_1vector_3_01_t_01_4_01_4_01_4.html#aa8d34d4dd171acbd81d642aea1b8b61e">stan::math::seq_view&lt; T, std::vector&lt; std::vector&lt; T &gt; &gt; &gt;::operator[]</a></div><div class="ttdeci">pass_type&lt; T &gt;::type operator[](int n) const </div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00170">seq_view.hpp:170</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4_html_a706e3bea5d58f77fd9d6d427e64aa370"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a706e3bea5d58f77fd9d6d427e64aa370">stan::math::seq_view&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::seq_view</a></div><div class="ttdeci">seq_view(typename pass_type&lt; Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::type x)</div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00105">seq_view.hpp:105</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1store__type_html"><div class="ttname"><a href="structstan_1_1math_1_1store__type.html">stan::math::store_type</a></div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00013">seq_view.hpp:13</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4_html_a2e9627b1092238710ed116adc7c1cab5"><div class="ttname"><a href="classstan_1_1math_1_1seq__view_3_01_t_00_01std_1_1vector_3_01_t_01_4_01_4.html#a2e9627b1092238710ed116adc7c1cab5">stan::math::seq_view&lt; T, std::vector&lt; T &gt; &gt;::seq_view</a></div><div class="ttdeci">seq_view(typename pass_type&lt; std::vector&lt; T &gt; &gt;::type x)</div><div class="ttdef"><b>Definition:</b> <a href="seq__view_8hpp_source.html#l00145">seq_view.hpp:145</a></div></div>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a9614efc6fd66533b74b43ddb69f21d3b"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9614efc6fd66533b74b43ddb69f21d3b">stan::math::set_zero_all_adjoints</a> ()</td></tr>
+<tr class="memdesc:a9614efc6fd66533b74b43ddb69f21d3b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reset all adjoint values in the stack to zero.  <a href="namespacestan_1_1math.html#a9614efc6fd66533b74b43ddb69f21d3b">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="vari_8hpp_source.html">stan/math/rev/core/vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chainable__alloc_8hpp_source.html">stan/math/rev/core/chainable_alloc.hpp</a>&gt;</code><br />
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+<tr class="memitem:af13a9b09e0bebb14eb30f3c78a95a160"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af13a9b09e0bebb14eb30f3c78a95a160">stan::math::set_zero_all_adjoints_nested</a> ()</td></tr>
+<tr class="memdesc:af13a9b09e0bebb14eb30f3c78a95a160"><td class="mdescLeft">&#160;</td><td class="mdescRight">Reset all adjoint values in the top nested portion of the stack to zero.  <a href="namespacestan_1_1math.html#af13a9b09e0bebb14eb30f3c78a95a160">More...</a><br /></td></tr>
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+<div class="title">set_zero_all_adjoints_nested.hpp</div>  </div>
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+<div class="contents">
+<a href="set__zero__all__adjoints__nested_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_SET_ZERO_ALL_ADJOINTS_NESTED_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_SET_ZERO_ALL_ADJOINTS_NESTED_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chainable__alloc_8hpp.html">stan/math/rev/core/chainable_alloc.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a430f171295b91277dc60dfa2177c7c0b">empty_nested</a>())</div>
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+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;                               <span class="stringliteral">&quot; set_zero_all_adjoints_nested()&quot;</span>);</div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = (start2 == 0U) ? 0U : (start2 - 1);</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    }</div>
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+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af13a9b09e0bebb14eb30f3c78a95a160"><div class="ttname"><a href="namespacestan_1_1math.html#af13a9b09e0bebb14eb30f3c78a95a160">stan::math::set_zero_all_adjoints_nested</a></div><div class="ttdeci">static void set_zero_all_adjoints_nested()</div><div class="ttdoc">Reset all adjoint values in the top nested portion of the stack to zero. </div><div class="ttdef"><b>Definition:</b> <a href="set__zero__all__adjoints__nested_8hpp_source.html#l00017">set_zero_all_adjoints_nested.hpp:17</a></div></div>
+<div class="ttc" id="empty__nested_8hpp_html"><div class="ttname"><a href="empty__nested_8hpp.html">empty_nested.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_ac281684e398a6a4cedcf7c4e75eeb2f1"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#ac281684e398a6a4cedcf7c4e75eeb2f1">stan::math::AutodiffStackStorage::var_nochain_stack_</a></div><div class="ttdeci">static std::vector&lt; ChainableT * &gt; var_nochain_stack_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00014">autodiffstackstorage.hpp:14</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a15080f06483a3215ce0513e0274db5f5"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a15080f06483a3215ce0513e0274db5f5">stan::math::AutodiffStackStorage::nested_var_nochain_stack_sizes_</a></div><div class="ttdeci">static std::vector&lt; size_t &gt; nested_var_nochain_stack_sizes_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00020">autodiffstackstorage.hpp:20</a></div></div>
+<div class="ttc" id="chainable__alloc_8hpp_html"><div class="ttname"><a href="chainable__alloc_8hpp.html">chainable_alloc.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_aaa52587fef6c965ff959745bedaab58b"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#aaa52587fef6c965ff959745bedaab58b">stan::math::AutodiffStackStorage::nested_var_stack_sizes_</a></div><div class="ttdeci">static std::vector&lt; size_t &gt; nested_var_stack_sizes_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00019">autodiffstackstorage.hpp:19</a></div></div>
+<div class="ttc" id="chainablestack_8hpp_html"><div class="ttname"><a href="chainablestack_8hpp.html">chainablestack.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_autodiff_stack_storage_html_a3ee9208d01fab7f0d6b3d3fd6f186435"><div class="ttname"><a href="structstan_1_1math_1_1_autodiff_stack_storage.html#a3ee9208d01fab7f0d6b3d3fd6f186435">stan::math::AutodiffStackStorage::var_stack_</a></div><div class="ttdeci">static std::vector&lt; ChainableT * &gt; var_stack_</div><div class="ttdef"><b>Definition:</b> <a href="autodiffstackstorage_8hpp_source.html#l00013">autodiffstackstorage.hpp:13</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inv__logit_8hpp_source.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1m_8hpp_source.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2log1p__exp_8hpp_source.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2logit_8hpp_source.html">stan/math/prim/scal/fun/logit.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="simplex__constrain_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a6341abfdbb8a7f35432a73f27b131688"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6341abfdbb8a7f35432a73f27b131688"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6341abfdbb8a7f35432a73f27b131688">stan::math::simplex_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;y)</td></tr>
+<tr class="memdesc:a6341abfdbb8a7f35432a73f27b131688"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the simplex corresponding to the specified free vector.  <a href="namespacestan_1_1math.html#a6341abfdbb8a7f35432a73f27b131688">More...</a><br /></td></tr>
+<tr class="separator:a6341abfdbb8a7f35432a73f27b131688"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a552a1c130bd90d93271bc9169b2e0ce2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a552a1c130bd90d93271bc9169b2e0ce2"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a552a1c130bd90d93271bc9169b2e0ce2">stan::math::simplex_constrain</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;y, T &amp;lp)</td></tr>
+<tr class="memdesc:a552a1c130bd90d93271bc9169b2e0ce2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the simplex corresponding to the specified free vector and increment the specified log probability reference with the log absolute Jacobian determinant of the transform.  <a href="namespacestan_1_1math.html#a552a1c130bd90d93271bc9169b2e0ce2">More...</a><br /></td></tr>
+<tr class="separator:a552a1c130bd90d93271bc9169b2e0ce2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+</div><!-- contents -->
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+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+</div>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_5ad826fc69c5de8867ad775040807419.html">fun</a></li>  </ul>
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+<div class="title">simplex_constrain.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="simplex__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_SIMPLEX_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_SIMPLEX_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inv__logit_8hpp.html">stan/math/prim/scal/fun/inv_logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1m_8hpp.html">stan/math/prim/scal/fun/log1m.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2log1p__exp_8hpp.html">stan/math/prim/scal/fun/log1p_exp.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2logit_8hpp.html">stan/math/prim/scal/fun/logit.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6341abfdbb8a7f35432a73f27b131688">   30</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6341abfdbb8a7f35432a73f27b131688">simplex_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; y) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="comment">// cut &amp; paste simplex_constrain(Eigen::Matrix, T) w/o Jacobian</span></div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab025eaf1e6f5c920f69c37e7a7f8b319">stan::math::logit</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, 1&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordtype">int</span> Km1 = y.size();</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; x(Km1 + 1);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      T stick_len(1.0);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordflow">for</span> (size_type k = 0; k &lt; Km1; ++k) {</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        T z_k(<a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">inv_logit</a>(y(k) - <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Km1 - k)));</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        x(k) = stick_len * z_k;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        stick_len -= x(k);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      }</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      x(Km1) = stick_len;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordflow">return</span> x;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    }</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a552a1c130bd90d93271bc9169b2e0ce2">   69</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6341abfdbb8a7f35432a73f27b131688">simplex_constrain</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; y,</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;                      T&amp; lp) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab025eaf1e6f5c920f69c37e7a7f8b319">stan::math::logit</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">stan::math::log1p_exp</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T, Dynamic, 1&gt;</a> &gt;::type <a class="code" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordtype">int</span> Km1 = y.size();  <span class="comment">// K = Km1 + 1</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      Matrix&lt;T, Dynamic, 1&gt; x(Km1 + 1);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      T stick_len(1.0);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">for</span> (size_type k = 0; k &lt; Km1; ++k) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordtype">double</span> eq_share = -<a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Km1 - k);  <span class="comment">// = logit(1.0/(Km1 + 1 - k));</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        T adj_y_k(y(k) + eq_share);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        T z_k(<a class="code" href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">inv_logit</a>(adj_y_k));</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        x(k) = stick_len * z_k;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        lp += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(stick_len);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        lp -= <a class="code" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">log1p_exp</a>(-adj_y_k);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        lp -= <a class="code" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">log1p_exp</a>(adj_y_k);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        stick_len -= x(k);  <span class="comment">// equivalently *= (1 - z_k);</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      x(Km1) = stick_len;  <span class="comment">// no Jacobian contrib for last dim</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">return</span> x;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;    }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;  }</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;}</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a76a22ee34432be58edb4b6ed9469370a"><div class="ttname"><a href="namespacestan_1_1math.html#a76a22ee34432be58edb4b6ed9469370a">stan::math::inv_logit</a></div><div class="ttdeci">fvar&lt; T &gt; inv_logit(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inv__logit_8hpp_source.html#l00015">inv_logit.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a98ff1baf06b8c5e2fc241bba99d0a97d"><div class="ttname"><a href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">stan::math::size_type</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;::Index size_type</div><div class="ttdoc">Type for sizes and indexes in an Eigen matrix with double e. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2typedefs_8hpp_source.html#l00013">typedefs.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1m_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1m_8hpp.html">log1m.hpp</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab025eaf1e6f5c920f69c37e7a7f8b319"><div class="ttname"><a href="namespacestan_1_1math.html#ab025eaf1e6f5c920f69c37e7a7f8b319">stan::math::logit</a></div><div class="ttdeci">fvar&lt; T &gt; logit(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2logit_8hpp_source.html#l00017">logit.hpp:17</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2log1p__exp_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2log1p__exp_8hpp.html">log1p_exp.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0fe928ad2b96b802f6d488ba43167489"><div class="ttname"><a href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">stan::math::log1p_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log1p_exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1p__exp_8hpp_source.html#l00013">log1p_exp.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6341abfdbb8a7f35432a73f27b131688"><div class="ttname"><a href="namespacestan_1_1math.html#a6341abfdbb8a7f35432a73f27b131688">stan::math::simplex_constrain</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; simplex_constrain(const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;y)</div><div class="ttdoc">Return the simplex corresponding to the specified free vector. </div><div class="ttdef"><b>Definition:</b> <a href="simplex__constrain_8hpp_source.html#l00030">simplex_constrain.hpp:30</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2logit_8hpp.html">logit.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inv__logit_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inv__logit_8hpp.html">inv_logit.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8d92a982acd829e77b3f5b975baa6aed"><div class="ttname"><a href="namespacestan_1_1math.html#a8d92a982acd829e77b3f5b975baa6aed">stan::math::log1m</a></div><div class="ttdeci">fvar&lt; T &gt; log1m(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1m_8hpp_source.html#l00016">log1m.hpp:16</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__simplex_8hpp_source.html">stan/math/prim/mat/err/check_simplex.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2logit_8hpp_source.html">stan/math/prim/scal/fun/logit.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<p><a href="simplex__free_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a110fab43edbb2ebb9206643900083971"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a110fab43edbb2ebb9206643900083971"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a110fab43edbb2ebb9206643900083971">stan::math::simplex_free</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x)</td></tr>
+<tr class="memdesc:a110fab43edbb2ebb9206643900083971"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return an unconstrained vector that when transformed produces the specified simplex.  <a href="namespacestan_1_1math.html#a110fab43edbb2ebb9206643900083971">More...</a><br /></td></tr>
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+<a href="simplex__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_SIMPLEX_FREE_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_SIMPLEX_FREE_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2logit_8hpp.html">stan/math/prim/scal/fun/logit.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
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+<tr class="memitem:a56518b3d36f8b7ce72c9b8f4b77c8f22"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a56518b3d36f8b7ce72c9b8f4b77c8f22">stan::math::singular_values</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</td></tr>
+<tr class="memdesc:a56518b3d36f8b7ce72c9b8f4b77c8f22"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the vector of the singular values of the specified matrix in decreasing order of magnitude.  <a href="namespacestan_1_1math.html#a56518b3d36f8b7ce72c9b8f4b77c8f22">More...</a><br /></td></tr>
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+<a href="singular__values_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_SINGULAR_VALUES_HPP</span></div>
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+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a56518b3d36f8b7ce72c9b8f4b77c8f22">   21</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a56518b3d36f8b7ce72c9b8f4b77c8f22">singular_values</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; m) {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;      <span class="keywordflow">return</span> Eigen::JacobiSVD</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a56518b3d36f8b7ce72c9b8f4b77c8f22"><div class="ttname"><a href="namespacestan_1_1math.html#a56518b3d36f8b7ce72c9b8f4b77c8f22">stan::math::singular_values</a></div><div class="ttdeci">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; singular_values(const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m)</div><div class="ttdoc">Return the vector of the singular values of the specified matrix in decreasing order of magnitude...</div><div class="ttdef"><b>Definition:</b> <a href="singular__values_8hpp_source.html#l00021">singular_values.hpp:21</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="size_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:aa1f9966aade9c4515d33d3ffa7305462"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:aa1f9966aade9c4515d33d3ffa7305462"><td class="memTemplItemLeft" align="right" valign="top">int&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a> (const std::vector&lt; T &gt; &amp;x)</td></tr>
+<tr class="memdesc:aa1f9966aade9c4515d33d3ffa7305462"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the size of the specified standard vector.  <a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">More...</a><br /></td></tr>
+<tr class="separator:aa1f9966aade9c4515d33d3ffa7305462"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__vector_8hpp_source.html">stan/math/prim/scal/meta/is_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;cstddef&gt;</code><br />
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+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1size__of__helper.html">stan::size_of_helper&lt; T, is_vec &gt;</a></td></tr>
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+<a href="size__of_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_META_SIZE_OF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_META_SIZE_OF_HPP</span></div>
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+<div class="ttc" id="structstan_1_1size__of__helper_html_a8f7056983b7948acf66a2e8b3e37e855"><div class="ttname"><a href="structstan_1_1size__of__helper.html#a8f7056983b7948acf66a2e8b3e37e855">stan::size_of_helper::size_of</a></div><div class="ttdeci">static size_t size_of(const T &amp;)</div><div class="ttdef"><b>Definition:</b> <a href="size__of_8hpp_source.html#l00011">size_of.hpp:11</a></div></div>
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+<div class="ttc" id="structstan_1_1size__of__helper_3_01_t_00_01true_01_4_html_af0810fc0270af209916e67d5defe4b7d"><div class="ttname"><a href="structstan_1_1size__of__helper_3_01_t_00_01true_01_4.html#af0810fc0270af209916e67d5defe4b7d">stan::size_of_helper&lt; T, true &gt;::size_of</a></div><div class="ttdeci">static size_t size_of(const T &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="size__of_8hpp_source.html#l00018">size_of.hpp:18</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2owens__t_8hpp_source.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;boost/math/distributions.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="skew__normal__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a764774344adc0fc192a79bb25cab62ea"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a764774344adc0fc192a79bb25cab62ea"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a764774344adc0fc192a79bb25cab62ea">stan::math::skew_normal_ccdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_shape &amp;alpha)</td></tr>
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+<div class="title">skew_normal_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="skew__normal__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_SKEW_NORMAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_SKEW_NORMAL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2owens__t_8hpp.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/math/distributions.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a764774344adc0fc192a79bb25cab62ea">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a764774344adc0fc192a79bb25cab62ea">skew_normal_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                         <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::skew_normal_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_loc, T_scale,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                                                  T_shape&gt;::type</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">stan::math::owens_t</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)))</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> ccdf_log;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Shape paramter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        operands_and_partials(y, mu, sigma, alpha);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma, alpha);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> SQRT_TWO_OVER_PI = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0 / <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl_sq = alpha_dbl * alpha_dbl;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">const</span> T_partials_return diff = (y_dbl - mu_dbl) / sigma_dbl;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keyword">const</span> T_partials_return diff_sq = diff * diff;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff =  diff / <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff_sq =  diff_sq * 0.5;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return ccdf_log_ = 1.0 - 0.5 * <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>(-scaled_diff)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          + 2 * <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(diff, alpha_dbl);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        <span class="comment">// ccdf_log</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        ccdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(ccdf_log_);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_erfc = SQRT_TWO_OVER_PI * 0.5</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff_sq) / sigma_dbl;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_owens = <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(alpha_dbl * scaled_diff)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff_sq) / SQRT_TWO_OVER_PI / (-2.0 * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>()) / sigma_dbl;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = (-2.0 * deriv_owens + deriv_erfc)</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;          / ccdf_log_;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= rep_deriv;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += rep_deriv;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += rep_deriv * diff;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n] -= -2.0 * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-0.5 * diff_sq</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                                                      * (1.0 + alpha_dbl_sq))</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            / ((1 + alpha_dbl_sq) * 2.0 * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>()) / ccdf_log_;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      }</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(ccdf_log);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    }</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  }</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;}</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa283efca22c0544054a6534443e6e762"><div class="ttname"><a href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math::erf</a></div><div class="ttdeci">fvar&lt; T &gt; erf(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erf_8hpp_source.html#l00014">erf.hpp:14</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9b09a69d6aeee461a009b6355889e9e4"><div class="ttname"><a href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">stan::math::owens_t</a></div><div class="ttdeci">fvar&lt; T &gt; owens_t(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2owens__t_8hpp_source.html#l00014">owens_t.hpp:14</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a764774344adc0fc192a79bb25cab62ea"><div class="ttname"><a href="namespacestan_1_1math.html#a764774344adc0fc192a79bb25cab62ea">stan::math::skew_normal_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type skew_normal_ccdf_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_shape &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="skew__normal__ccdf__log_8hpp_source.html#l00027">skew_normal_ccdf_log.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a491d6e40aaa2a3e205ea6708dc3c75dd"><div class="ttname"><a href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a></div><div class="ttdeci">const double SQRT_2</div><div class="ttdoc">The value of the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00021">constants.hpp:21</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2owens__t_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2owens__t_8hpp.html">owens_t.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2owens__t_8hpp_source.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;boost/math/distributions.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="skew__normal__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a4619194e1d367590916fb133f99385a7"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a4619194e1d367590916fb133f99385a7"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4619194e1d367590916fb133f99385a7">stan::math::skew_normal_cdf</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_shape &amp;alpha)</td></tr>
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+<a href="skew__normal__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_SKEW_NORMAL_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_SKEW_NORMAL_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2owens__t_8hpp.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/math/distributions.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a4619194e1d367590916fb133f99385a7">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4619194e1d367590916fb133f99385a7">skew_normal_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                    <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::skew_normal_cdf&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_loc, T_scale,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                                                  T_shape&gt;::type</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">stan::math::owens_t</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      T_partials_return cdf(1.0);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)))</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> cdf;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Shape paramter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        operands_and_partials(y, mu, sigma, alpha);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma, alpha);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> SQRT_TWO_OVER_PI = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0 / <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl_sq = alpha_dbl * alpha_dbl;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keyword">const</span> T_partials_return diff = (y_dbl - mu_dbl) / sigma_dbl;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">const</span> T_partials_return diff_sq = diff * diff;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff =  diff / <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff_sq =  diff_sq * 0.5;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keyword">const</span> T_partials_return cdf_ = 0.5 * <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>(-scaled_diff) - 2</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(diff, alpha_dbl);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="comment">// cdf</span></div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        cdf *= cdf_;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_erfc = SQRT_TWO_OVER_PI * 0.5</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff_sq)</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;          / sigma_dbl;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_owens = <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(alpha_dbl * scaled_diff)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff_sq) / SQRT_TWO_OVER_PI / (-2.0 * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>()) / sigma_dbl;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = (-2.0 * deriv_owens + deriv_erfc)</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;          / cdf_;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= rep_deriv;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv * diff;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n] += -2.0 * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-0.5 * diff_sq</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;                                                      * (1.0  + alpha_dbl_sq))</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            / ((1 + alpha_dbl_sq) * 2.0 * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>()) / cdf_;</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      }</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
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+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;  }</div>
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+<div class="ttc" id="namespacestan_1_1math_html_a4619194e1d367590916fb133f99385a7"><div class="ttname"><a href="namespacestan_1_1math.html#a4619194e1d367590916fb133f99385a7">stan::math::skew_normal_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type skew_normal_cdf(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_shape &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="skew__normal__cdf_8hpp_source.html#l00027">skew_normal_cdf.hpp:27</a></div></div>
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+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
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+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
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+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a491d6e40aaa2a3e205ea6708dc3c75dd"><div class="ttname"><a href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a></div><div class="ttdeci">const double SQRT_2</div><div class="ttdoc">The value of the square root of 2, . </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00021">constants.hpp:21</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2owens__t_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2owens__t_8hpp.html">owens_t.hpp</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa2ffd66726e0532160e16e6b48d6f428"><div class="ttname"><a href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a></div><div class="ttdeci">double pi()</div><div class="ttdoc">Return the value of pi. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00086">constants.hpp:86</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+</div><!-- fragment --></div><!-- contents -->
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div><!--header-->
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+<div class="textblock"><code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2owens__t_8hpp_source.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;boost/math/distributions.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="skew__normal__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a244e671c45143752fe0d8e50dd8d64dd"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a244e671c45143752fe0d8e50dd8d64dd"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a244e671c45143752fe0d8e50dd8d64dd">stan::math::skew_normal_cdf_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_shape &amp;alpha)</td></tr>
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+<div class="title">skew_normal_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="skew__normal__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_SKEW_NORMAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_SKEW_NORMAL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2owens__t_8hpp.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/math/distributions.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a244e671c45143752fe0d8e50dd8d64dd">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a244e671c45143752fe0d8e50dd8d64dd">skew_normal_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma,</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;                        <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::skew_normal_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_loc, T_scale,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                                                  T_shape&gt;::type</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">stan::math::owens_t</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
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+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)))</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> cdf_log;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                             <span class="stringliteral">&quot;Shape paramter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        operands_and_partials(y, mu, sigma, alpha);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">stan::math::SQRT_2</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma, alpha);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> SQRT_TWO_OVER_PI = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0 / <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl_sq = alpha_dbl * alpha_dbl;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keyword">const</span> T_partials_return diff = (y_dbl - mu_dbl) / sigma_dbl;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> T_partials_return diff_sq = diff * diff;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff =  diff / <a class="code" href="namespacestan_1_1math.html#a491d6e40aaa2a3e205ea6708dc3c75dd">SQRT_2</a>;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return scaled_diff_sq =  diff_sq * 0.5;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> T_partials_return cdf_log_ = 0.5 * <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>(-scaled_diff) - 2</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">owens_t</a>(diff, alpha_dbl);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="comment">// cdf_log</span></div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        cdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(cdf_log_);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_erfc = SQRT_TWO_OVER_PI * 0.5</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff_sq) / sigma_dbl;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">const</span> T_partials_return deriv_owens = <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(alpha_dbl * scaled_diff)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-scaled_diff_sq) / SQRT_TWO_OVER_PI / (-2.0 * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>()) / sigma_dbl;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = (-2.0 * deriv_owens + deriv_erfc)</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          / cdf_log_;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= rep_deriv;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv * diff;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n] += -2.0 * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-0.5 * diff_sq</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                                                      * (1.0 + alpha_dbl_sq))</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            / ((1 + alpha_dbl_sq) * 2.0 * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>()) / cdf_log_;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      }</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    }</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  }</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;}</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa283efca22c0544054a6534443e6e762"><div class="ttname"><a href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math::erf</a></div><div class="ttdeci">fvar&lt; T &gt; erf(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erf_8hpp_source.html#l00014">erf.hpp:14</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a9b09a69d6aeee461a009b6355889e9e4"><div class="ttname"><a href="namespacestan_1_1math.html#a9b09a69d6aeee461a009b6355889e9e4">stan::math::owens_t</a></div><div class="ttdeci">fvar&lt; T &gt; owens_t(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2owens__t_8hpp_source.html#l00014">owens_t.hpp:14</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2owens__t_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2owens__t_8hpp.html">owens_t.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2owens__t_8hpp_source.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;boost/math/distributions.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="skew__normal__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a063fa4970b1aced1fe47505e950c5ff9"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a063fa4970b1aced1fe47505e950c5ff9"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a063fa4970b1aced1fe47505e950c5ff9">stan::math::skew_normal_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_shape &amp;alpha)</td></tr>
+<tr class="separator:a063fa4970b1aced1fe47505e950c5ff9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9f3802cc8e1abfde6592284133457854"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale , typename T_shape &gt; </td></tr>
+<tr class="memitem:a9f3802cc8e1abfde6592284133457854"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9f3802cc8e1abfde6592284133457854">stan::math::skew_normal_log</a> (const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_shape &amp;alpha)</td></tr>
+<tr class="separator:a9f3802cc8e1abfde6592284133457854"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">skew_normal_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="skew__normal__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_SKEW_NORMAL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_SKEW_NORMAL_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2owens__t_8hpp.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;boost/math/distributions.hpp&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a063fa4970b1aced1fe47505e950c5ff9">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a063fa4970b1aced1fe47505e950c5ff9">skew_normal_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                    <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::skew_normal_log&quot;</span>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_loc,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                                                  T_scale, T_shape&gt;::type</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)))</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma,</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                             <span class="stringliteral">&quot;Shape paramter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// set up template expressions wrapping scalars into vector views</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale, T_shape&gt;</a></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        operands_and_partials(y, mu, sigma, alpha);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">boost::math::erfc</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">boost::math::erf</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, sigma, alpha);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_scale&gt;</a> inv_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                    T_partials_return, T_scale&gt; log_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++) {</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        inv_sigma[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          log_sigma[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]));</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <span class="comment">// pull out values of arguments</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="comment">// reusable subexpression values</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keyword">const</span> T_partials_return y_minus_mu_over_sigma</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          = (y_dbl - mu_dbl) * inv_sigma[n];</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">double</span> pi_dbl = <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>();</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="comment">// log probability</span></div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          logp -=  0.5 * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(2.0 * pi_dbl);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          logp -= <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(sigma_dbl);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          logp -= y_minus_mu_over_sigma * y_minus_mu_over_sigma / 2.0;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#ab4c763e4f09069eed96a4e96e33ea8ea">erfc</a>(-alpha_dbl * y_minus_mu_over_sigma</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                           / <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0)));</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        T_partials_return deriv_logerf</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          = 2.0 / <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(pi_dbl)</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-alpha_dbl * y_minus_mu_over_sigma / <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0)</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                * alpha_dbl * y_minus_mu_over_sigma / <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0))</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          / (1 + <a class="code" href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">erf</a>(alpha_dbl * y_minus_mu_over_sigma</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                     / <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0)));</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;            += -y_minus_mu_over_sigma / sigma_dbl</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            + deriv_logerf * alpha_dbl / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0));</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            += y_minus_mu_over_sigma / sigma_dbl</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            + deriv_logerf * -alpha_dbl / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0));</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            += -1.0 / sigma_dbl</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;            + y_minus_mu_over_sigma * y_minus_mu_over_sigma / sigma_dbl</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            - deriv_logerf * y_minus_mu_over_sigma * alpha_dbl</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;            / (sigma_dbl * <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0));</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n]</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            += deriv_logerf * y_minus_mu_over_sigma / <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(2.0);</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;      }</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    }</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale, <span class="keyword">typename</span> T_shape&gt;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_loc, T_scale, T_shape&gt;::type</a></div>
+<div class="line"><a name="l00147"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9f3802cc8e1abfde6592284133457854">  147</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a063fa4970b1aced1fe47505e950c5ff9">skew_normal_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_loc&amp; mu, <span class="keyword">const</span> T_scale&amp; sigma,</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;                    <span class="keyword">const</span> T_shape&amp; alpha) {</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;      <span class="keywordflow">return</span> skew_normal_log&lt;false&gt;(y, mu, sigma, alpha);</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    }</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;  }</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;}</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;</div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a063fa4970b1aced1fe47505e950c5ff9"><div class="ttname"><a href="namespacestan_1_1math.html#a063fa4970b1aced1fe47505e950c5ff9">stan::math::skew_normal_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale, T_shape &gt;::type skew_normal_log(const T_y &amp;y, const T_loc &amp;mu, const T_scale &amp;sigma, const T_shape &amp;alpha)</div><div class="ttdef"><b>Definition:</b> <a href="skew__normal__log_8hpp_source.html#l00028">skew_normal_log.hpp:28</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa283efca22c0544054a6534443e6e762"><div class="ttname"><a href="namespacestan_1_1math.html#aa283efca22c0544054a6534443e6e762">stan::math::erf</a></div><div class="ttdeci">fvar&lt; T &gt; erf(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2erf_8hpp_source.html#l00014">erf.hpp:14</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;boost/math/distributions.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2owens__t_8hpp_source.html">stan/math/prim/scal/fun/owens_t.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="uniform__rng_8hpp_source.html">stan/math/prim/scal/prob/uniform_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:ae20ce3e4d117da5792ace24dfc92b1ea"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:ae20ce3e4d117da5792ace24dfc92b1ea"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae20ce3e4d117da5792ace24dfc92b1ea">stan::math::skew_normal_rng</a> (const double mu, const double sigma, const double alpha, RNG &amp;rng)</td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_SKEW_NORMAL_RNG_HPP</span></div>
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+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="uniform__rng_8hpp_html"><div class="ttname"><a href="uniform__rng_8hpp.html">uniform_rng.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2owens__t_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2owens__t_8hpp.html">owens_t.hpp</a></div></div>
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+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
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+<div class="title">sort.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;functional&gt;</code><br />
+</div>
+<p><a href="sort_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a80f5418b16ea26e9bc6d2a8f9b764897"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a80f5418b16ea26e9bc6d2a8f9b764897"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a80f5418b16ea26e9bc6d2a8f9b764897">stan::math::sort_asc</a> (std::vector&lt; T &gt; xs)</td></tr>
+<tr class="memdesc:a80f5418b16ea26e9bc6d2a8f9b764897"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified standard vector in ascending order.  <a href="namespacestan_1_1math.html#a80f5418b16ea26e9bc6d2a8f9b764897">More...</a><br /></td></tr>
+<tr class="separator:a80f5418b16ea26e9bc6d2a8f9b764897"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab0b2712eab9b95535c0589455ed11cfc"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ab0b2712eab9b95535c0589455ed11cfc"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab0b2712eab9b95535c0589455ed11cfc">stan::math::sort_desc</a> (std::vector&lt; T &gt; xs)</td></tr>
+<tr class="memdesc:ab0b2712eab9b95535c0589455ed11cfc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified standard vector in descending order.  <a href="namespacestan_1_1math.html#ab0b2712eab9b95535c0589455ed11cfc">More...</a><br /></td></tr>
+<tr class="separator:ab0b2712eab9b95535c0589455ed11cfc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af9e46c9e96c0e88cc503e4b903247cce"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:af9e46c9e96c0e88cc503e4b903247cce"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#af9e46c9e96c0e88cc503e4b903247cce">stan::math::sort_asc</a> (Eigen::Matrix&lt; T, R, C &gt; xs)</td></tr>
+<tr class="memdesc:af9e46c9e96c0e88cc503e4b903247cce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified eigen vector in ascending order.  <a href="namespacestan_1_1math.html#af9e46c9e96c0e88cc503e4b903247cce">More...</a><br /></td></tr>
+<tr class="separator:af9e46c9e96c0e88cc503e4b903247cce"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a60648efc106b7596ddc356b765b6df81"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a60648efc106b7596ddc356b765b6df81"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a60648efc106b7596ddc356b765b6df81">stan::math::sort_desc</a> (Eigen::Matrix&lt; T, R, C &gt; xs)</td></tr>
+<tr class="memdesc:a60648efc106b7596ddc356b765b6df81"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified eigen vector in descending order.  <a href="namespacestan_1_1math.html#a60648efc106b7596ddc356b765b6df81">More...</a><br /></td></tr>
+<tr class="separator:a60648efc106b7596ddc356b765b6df81"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="sort_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_SORT_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_SORT_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span>    <span class="comment">// std::sort</span></div>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2index__type_8hpp_source.html">stan/math/prim/arr/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;iostream&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="sort__indices_8hpp_source.html">Go to the source code of this file.</a></p>
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+<p>Definition at line <a class="el" href="sort__indices_8hpp_source.html#l00025">25</a> of file <a class="el" href="sort__indices_8hpp_source.html">sort_indices.hpp</a>.</p>
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+<a href="sort__indices_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_SORT_INDICES_HPP</span></div>
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+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sort__indices_8hpp_source.html">stan/math/prim/mat/fun/sort_indices.hpp</a>&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;iostream&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="sort__indices__asc_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a4a13ccb29cba05ef0daa9712ee9bf7a3"><td class="memTemplParams" colspan="2">template&lt;typename C &gt; </td></tr>
+<tr class="memitem:a4a13ccb29cba05ef0daa9712ee9bf7a3"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4a13ccb29cba05ef0daa9712ee9bf7a3">stan::math::sort_indices_asc</a> (const C &amp;xs)</td></tr>
+<tr class="memdesc:a4a13ccb29cba05ef0daa9712ee9bf7a3"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a sorted copy of the argument container in ascending order.  <a href="namespacestan_1_1math.html#a4a13ccb29cba05ef0daa9712ee9bf7a3">More...</a><br /></td></tr>
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+<a href="sort__indices__asc_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_SORT_INDICES_ASC_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_SORT_INDICES_ASC_HPP</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> C&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a4a13ccb29cba05ef0daa9712ee9bf7a3">   23</a></span>&#160;    std::vector&lt;int&gt; <a class="code" href="namespacestan_1_1math.html#a4a13ccb29cba05ef0daa9712ee9bf7a3">sort_indices_asc</a>(<span class="keyword">const</span> C&amp; xs) {</div>
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+<div class="ttc" id="sort__indices_8hpp_html"><div class="ttname"><a href="sort__indices_8hpp.html">sort_indices.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a4a13ccb29cba05ef0daa9712ee9bf7a3"><div class="ttname"><a href="namespacestan_1_1math.html#a4a13ccb29cba05ef0daa9712ee9bf7a3">stan::math::sort_indices_asc</a></div><div class="ttdeci">std::vector&lt; int &gt; sort_indices_asc(const C &amp;xs)</div><div class="ttdoc">Return a sorted copy of the argument container in ascending order. </div><div class="ttdef"><b>Definition:</b> <a href="sort__indices__asc_8hpp_source.html#l00023">sort_indices_asc.hpp:23</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
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+<div class="title">sort_indices_desc.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="sort__indices_8hpp_source.html">stan/math/prim/mat/fun/sort_indices.hpp</a>&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+<code>#include &lt;iostream&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="sort__indices__desc_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a27f6f9085eb850e9e0fcb98df345aeba"><td class="memTemplParams" colspan="2">template&lt;typename C &gt; </td></tr>
+<tr class="memitem:a27f6f9085eb850e9e0fcb98df345aeba"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; int &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a27f6f9085eb850e9e0fcb98df345aeba">stan::math::sort_indices_desc</a> (const C &amp;xs)</td></tr>
+<tr class="memdesc:a27f6f9085eb850e9e0fcb98df345aeba"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a sorted copy of the argument container in ascending order.  <a href="namespacestan_1_1math.html#a27f6f9085eb850e9e0fcb98df345aeba">More...</a><br /></td></tr>
+<tr class="separator:a27f6f9085eb850e9e0fcb98df345aeba"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  </span>
+</div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;stdint.h&gt;</code><br />
+<code>#include &lt;<a class="el" href="likely_8hpp_source.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</code><br />
+<code>#include &lt;cstdlib&gt;</code><br />
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+<code>#include &lt;vector&gt;</code><br />
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+<p><a href="stack__alloc_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memitem:a7add35b0758b1d0541f7e919c36412f9"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a7add35b0758b1d0541f7e919c36412f9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return <code>true</code> if the specified pointer is aligned on the number of bytes.  <a href="namespacestan_1_1math.html#a7add35b0758b1d0541f7e919c36412f9">More...</a><br /></td></tr>
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+<a href="stack__alloc_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_MEMORY_STACK_ALLOC_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// TODO(Bob): &lt;cstddef&gt; replaces this ifdef in C++11, until then this</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="likely_8hpp.html">stan/math/prim/scal/meta/likely.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;cstdlib&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;cstddef&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;sstream&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;stdexcept&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7add35b0758b1d0541f7e919c36412f9">   30</a></span>&#160;    <span class="keywordtype">bool</span> <a class="code" href="namespacestan_1_1math.html#a7add35b0758b1d0541f7e919c36412f9">is_aligned</a>(T* ptr, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> bytes_aligned) {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keywordflow">return</span> (reinterpret_cast&lt;uintptr_t&gt;(ptr) % bytes_aligned) == 0U;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    }</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">namespace </span>{</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">size_t</span> DEFAULT_INITIAL_NBYTES = 1 &lt;&lt; 16;  <span class="comment">// 64KB</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="comment">// FIXME: enforce alignment</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="comment">// big fun to inline, but only called twice</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">inline</span> <span class="keywordtype">char</span>* eight_byte_aligned_malloc(<span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>) {</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keywordtype">char</span>* ptr = <span class="keyword">static_cast&lt;</span><span class="keywordtype">char</span>*<span class="keyword">&gt;</span>(malloc(size));</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;        <span class="keywordflow">if</span> (!ptr) <span class="keywordflow">return</span> ptr;  <span class="comment">// malloc failed to alloc</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="namespacestan_1_1math.html#a7add35b0758b1d0541f7e919c36412f9">is_aligned</a>(ptr, 8U)) {</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;          std::stringstream s;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;          s &lt;&lt; <span class="stringliteral">&quot;invalid alignment to 8 bytes, ptr=&quot;</span></div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            &lt;&lt; <span class="keyword">reinterpret_cast&lt;</span>uintptr_t<span class="keyword">&gt;</span>(ptr)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            &lt;&lt; std::endl;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;          <span class="keywordflow">throw</span> std::runtime_error(s.str());</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        }</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        <span class="keywordflow">return</span> ptr;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      }</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    }</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1stack__alloc.html">   74</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1stack__alloc.html">stack_alloc</a> {</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    <span class="keyword">private</span>:</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      std::vector&lt;char*&gt; blocks_;  <span class="comment">// storage for blocks,</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                                   <span class="comment">// may be bigger than cur_block_</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      std::vector&lt;size_t&gt; sizes_;  <span class="comment">// could store initial &amp; shift for others</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordtype">size_t</span> cur_block_;           <span class="comment">// index into blocks_ for next alloc</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keywordtype">char</span>* cur_block_end_;        <span class="comment">// ptr to cur_block_ptr_ + sizes_[cur_block_]</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordtype">char</span>* next_loc_;             <span class="comment">// ptr to next available spot in cur</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;                                   <span class="comment">// block</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="comment">// next three for keeping track of nested allocations on top of stack:</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      std::vector&lt;size_t&gt; nested_cur_blocks_;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      std::vector&lt;char*&gt; nested_next_locs_;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      std::vector&lt;char*&gt; nested_cur_block_ends_;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordtype">char</span>* move_to_next_block(<span class="keywordtype">size_t</span> len) {</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keywordtype">char</span>* result;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        ++cur_block_;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="comment">// Find the next block (if any) containing at least len bytes.</span></div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;        <span class="keywordflow">while</span> ((cur_block_ &lt; blocks_.size()) &amp;&amp; (sizes_[cur_block_] &lt; len))</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          ++cur_block_;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="comment">// Allocate a new block if necessary.</span></div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(cur_block_ &gt;= blocks_.size())) {</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          <span class="comment">// New block should be max(2*size of last block, len) bytes.</span></div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          <span class="keywordtype">size_t</span> newsize = sizes_.back() * 2;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          <span class="keywordflow">if</span> (newsize &lt; len)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;            newsize = len;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;          blocks_.push_back(eight_byte_aligned_malloc(newsize));</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;          <span class="keywordflow">if</span> (!blocks_.back())</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;            <span class="keywordflow">throw</span> std::bad_alloc();</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          sizes_.push_back(newsize);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        }</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        result = blocks_[cur_block_];</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="comment">// Get the object&#39;s state back in order.</span></div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        next_loc_ = result + len;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        cur_block_end_ = result + sizes_[cur_block_];</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      }</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;    <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00131"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1stack__alloc.html#a6008eaa183ed07fb744799103926baac">  131</a></span>&#160;      <span class="keyword">explicit</span> <a class="code" href="classstan_1_1math_1_1stack__alloc.html#a6008eaa183ed07fb744799103926baac">stack_alloc</a>(<span class="keywordtype">size_t</span> initial_nbytes = DEFAULT_INITIAL_NBYTES) :</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;        blocks_(1, eight_byte_aligned_malloc(initial_nbytes)),</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        sizes_(1, initial_nbytes),</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        cur_block_(0),</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;        cur_block_end_(blocks_[0] + initial_nbytes),</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        next_loc_(blocks_[0]) {</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        <span class="keywordflow">if</span> (!blocks_[0])</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;          <span class="keywordflow">throw</span> std::bad_alloc();  <span class="comment">// no msg allowed in bad_alloc ctor</span></div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      }</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
+<div class="line"><a name="l00147"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1stack__alloc.html#a946367b4b88dd893103db604c5f23669">  147</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1stack__alloc.html#a946367b4b88dd893103db604c5f23669">~stack_alloc</a>() {</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        <span class="comment">// free ALL blocks</span></div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; blocks_.size(); ++i)</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;          <span class="keywordflow">if</span> (blocks_[i])</div>
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+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;      }</div>
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+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;        <span class="comment">// Typically, just return and increment the next location.</span></div>
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+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        next_loc_ += len;</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;        <span class="comment">// Occasionally, we have to switch blocks.</span></div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="likely_8hpp.html#a58059a6664c486561d2641a07440ad1a">unlikely</a>(next_loc_ &gt;= cur_block_end_))</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;          result = move_to_next_block(len);</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">reinterpret_cast&lt;</span><span class="keywordtype">void</span>*<span class="keyword">&gt;</span>(result);</div>
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+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;      <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;      <span class="keyword">inline</span></div>
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+<tr class="memdesc:a0bd8de4059fbba0fe38dc56567f2158a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if the given number is infinite.  <a href="namespacestd.html#a0bd8de4059fbba0fe38dc56567f2158a">More...</a><br /></td></tr>
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+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
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+Functions</h2></td></tr>
+<tr class="memitem:a3a2f34cf599093f31edcc8e056311305"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestd.html#a3a2f34cf599093f31edcc8e056311305">std::isnan</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;a)</td></tr>
+<tr class="memdesc:a3a2f34cf599093f31edcc8e056311305"><td class="mdescLeft">&#160;</td><td class="mdescRight">Checks if the given number is NaN.  <a href="namespacestd.html#a3a2f34cf599093f31edcc8e056311305">More...</a><br /></td></tr>
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+<a href="std__isnan_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_STD_ISNAN_HPP</span></div>
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+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="namespacestd.html#a3a2f34cf599093f31edcc8e056311305">   18</a></span>&#160;  <span class="keyword">inline</span> <span class="keywordtype">int</span> <a class="code" href="namespacestd.html#a3a2f34cf599093f31edcc8e056311305">isnan</a>(<span class="keyword">const</span> <a class="code" href="classstan_1_1math_1_1var.html">stan::math::var</a>&amp; a) {</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestd_html"><div class="ttname"><a href="namespacestd.html">std</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00007">std_numeric_limits.hpp:7</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
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+<div class="ttc" id="var_8hpp_html"><div class="ttname"><a href="var_8hpp.html">var.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="vari_8hpp_source.html">stan/math/rev/core/vari.hpp</a>&gt;</code><br />
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+<p><a href="stored__gradient__vari_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">A var implementation that stores the daughter variable implementation pointers and the partial derivative with respect to the result explicitly in arrays constructed on the auto-diff memory stack.  <a href="classstan_1_1math_1_1stored__gradient__vari.html#details">More...</a><br /></td></tr>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_STORED_GRADIENT_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;</div>
+<div class="line"><a name="l00018"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1stored__gradient__vari.html">   18</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1stored__gradient__vari.html">stored_gradient_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00020"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1stored__gradient__vari.html#aae7ebe863ce4f2544b1443d50c456a53">   20</a></span>&#160;      <span class="keywordtype">size_t</span> <a class="code" href="classstan_1_1math_1_1stored__gradient__vari.html#aae7ebe863ce4f2544b1443d50c456a53">size_</a>;</div>
+<div class="line"><a name="l00021"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1stored__gradient__vari.html#ae5c373b3fc563e291e189571057c2027">   21</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>** <a class="code" href="classstan_1_1math_1_1stored__gradient__vari.html#ae5c373b3fc563e291e189571057c2027">dtrs_</a>;</div>
+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1stored__gradient__vari.html#a318f47f75b1b24dd3ad5751fa741b6a4">   22</a></span>&#160;      <span class="keywordtype">double</span>* <a class="code" href="classstan_1_1math_1_1stored__gradient__vari.html#a318f47f75b1b24dd3ad5751fa741b6a4">partials_</a>;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1stored__gradient__vari.html#a9732c6c4334aea5e617476018e6ca4a5">   35</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1stored__gradient__vari.html#a9732c6c4334aea5e617476018e6ca4a5">stored_gradient_vari</a>(<span class="keywordtype">double</span> value,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                           <span class="keywordtype">size_t</span> <a class="code" href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">size</a>,</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;                           <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>** dtrs,</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;                           <span class="keywordtype">double</span>* partials)</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        : <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>(value),</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;          size_(size),</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;          dtrs_(dtrs),</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;          partials_(partials) {</div>
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+<div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1stored__gradient__vari.html#a832278a4273ca489bc52148d6300b638">   49</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1stored__gradient__vari.html#a832278a4273ca489bc52148d6300b638">chain</a>() {</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="classstan_1_1math_1_1stored__gradient__vari.html#aae7ebe863ce4f2544b1443d50c456a53">size_</a>; ++i)</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;          dtrs_[i]-&gt;<a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> += <a class="code" href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">adj_</a> * partials_[i];</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      }</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    };</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  }</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;}</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="classstan_1_1math_1_1stored__gradient__vari_html_a9732c6c4334aea5e617476018e6ca4a5"><div class="ttname"><a href="classstan_1_1math_1_1stored__gradient__vari.html#a9732c6c4334aea5e617476018e6ca4a5">stan::math::stored_gradient_vari::stored_gradient_vari</a></div><div class="ttdeci">stored_gradient_vari(double value, size_t size, vari **dtrs, double *partials)</div><div class="ttdoc">Construct a stored gradient vari with the specified value, size, daughter varis, and partial derivati...</div><div class="ttdef"><b>Definition:</b> <a href="stored__gradient__vari_8hpp_source.html#l00035">stored_gradient_vari.hpp:35</a></div></div>
+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1stored__gradient__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1stored__gradient__vari.html">stan::math::stored_gradient_vari</a></div><div class="ttdoc">A var implementation that stores the daughter variable implementation pointers and the partial deriva...</div><div class="ttdef"><b>Definition:</b> <a href="stored__gradient__vari_8hpp_source.html#l00018">stored_gradient_vari.hpp:18</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1stored__gradient__vari_html_a318f47f75b1b24dd3ad5751fa741b6a4"><div class="ttname"><a href="classstan_1_1math_1_1stored__gradient__vari.html#a318f47f75b1b24dd3ad5751fa741b6a4">stan::math::stored_gradient_vari::partials_</a></div><div class="ttdeci">double * partials_</div><div class="ttdef"><b>Definition:</b> <a href="stored__gradient__vari_8hpp_source.html#l00022">stored_gradient_vari.hpp:22</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1stored__gradient__vari_html_a832278a4273ca489bc52148d6300b638"><div class="ttname"><a href="classstan_1_1math_1_1stored__gradient__vari.html#a832278a4273ca489bc52148d6300b638">stan::math::stored_gradient_vari::chain</a></div><div class="ttdeci">void chain()</div><div class="ttdoc">Propagate derivatives through this vari with partial derivatives given for the daughter vari by the s...</div><div class="ttdef"><b>Definition:</b> <a href="stored__gradient__vari_8hpp_source.html#l00049">stored_gradient_vari.hpp:49</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1stored__gradient__vari_html_aae7ebe863ce4f2544b1443d50c456a53"><div class="ttname"><a href="classstan_1_1math_1_1stored__gradient__vari.html#aae7ebe863ce4f2544b1443d50c456a53">stan::math::stored_gradient_vari::size_</a></div><div class="ttdeci">size_t size_</div><div class="ttdef"><b>Definition:</b> <a href="stored__gradient__vari_8hpp_source.html#l00020">stored_gradient_vari.hpp:20</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1stored__gradient__vari_html_ae5c373b3fc563e291e189571057c2027"><div class="ttname"><a href="classstan_1_1math_1_1stored__gradient__vari.html#ae5c373b3fc563e291e189571057c2027">stan::math::stored_gradient_vari::dtrs_</a></div><div class="ttdeci">vari ** dtrs_</div><div class="ttdef"><b>Definition:</b> <a href="stored__gradient__vari_8hpp_source.html#l00021">stored_gradient_vari.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa1f9966aade9c4515d33d3ffa7305462"><div class="ttname"><a href="namespacestan_1_1math.html#aa1f9966aade9c4515d33d3ffa7305462">stan::math::size</a></div><div class="ttdeci">int size(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdoc">Return the size of the specified standard vector. </div><div class="ttdef"><b>Definition:</b> <a href="size_8hpp_source.html#l00017">size.hpp:17</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html_a53f635dd2454bc46335f3ad5bd172623"><div class="ttname"><a href="classstan_1_1math_1_1vari.html#a53f635dd2454bc46335f3ad5bd172623">stan::math::vari::adj_</a></div><div class="ttdeci">double adj_</div><div class="ttdoc">The adjoint of this variable, which is the partial derivative of this variable with respect to the ro...</div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00044">vari.hpp:44</a></div></div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></li>  </ul>
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+<div class="title">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a9d999dfd79c2ae5df9bf7fe13e625a51">AddCost</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a4c08b4bba00a46601d760d90fdba943d">dummy_precision</a>()</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a8532a2c2276f85829398e8eed1fffede">epsilon</a>()</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a331e8b0d5aeefe0c3d552cddade41ae3">HasFloatingPoint</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1412b5d850985532c6901671a1e83996">highest</a>()</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a927bbae55331d3b6f7cb4c78a5fad146">IsComplex</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a274287a3cdae5ae4d48890ae91d32b4b">IsInteger</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a0bc04ee5f79e5accb84c3ae8b03f2fbc">IsSigned</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aaf7446de33e7a3e5f21b4548ccaf5c7a">lowest</a>()</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258af070b8b29b40c7b0d09de7e7ee843f62">MulCost</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac1d414db60208827e11bf100a6f5fa49">Nested</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aa05b23229e883f730e17b2d853943086">NonInteger</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258ac32ba519bab5db01a8b5cd1a4d892c0d">ReadCost</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a9755aac49dbaa87c3a448219f225d903">RequireInitialization</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
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diff --git a/doc/api/html/struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html b/doc/api/html/struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html
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+  <ul>
+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Numerical traits template override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables.  
+ <a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a768855037a4305f4d90091d81bb92258"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <br />
+&#160;&#160;<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a274287a3cdae5ae4d48890ae91d32b4b">IsInteger</a> = 0, 
+<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a0bc04ee5f79e5accb84c3ae8b03f2fbc">IsSigned</a> = 1, 
+<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a927bbae55331d3b6f7cb4c78a5fad146">IsComplex</a> = 0, 
+<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a9755aac49dbaa87c3a448219f225d903">RequireInitialization</a> = 1, 
+<br />
+&#160;&#160;<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258ac32ba519bab5db01a8b5cd1a4d892c0d">ReadCost</a> = 1, 
+<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a9d999dfd79c2ae5df9bf7fe13e625a51">AddCost</a> = 1, 
+<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258af070b8b29b40c7b0d09de7e7ee843f62">MulCost</a> = 1, 
+<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258a331e8b0d5aeefe0c3d552cddade41ae3">HasFloatingPoint</a> = 1
+<br />
+ }<tr class="memdesc:a768855037a4305f4d90091d81bb92258"><td class="mdescLeft">&#160;</td><td class="mdescRight">Properties for automatic differentiation variables read by <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix library.  <a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a768855037a4305f4d90091d81bb92258">More...</a><br /></td></tr>
+<tr class="separator:a768855037a4305f4d90091d81bb92258"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+<tr class="memitem:ac491ba066dc6e2fda3fb4dd69fd4331d"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a></td></tr>
+<tr class="memdesc:ac491ba066dc6e2fda3fb4dd69fd4331d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Real-valued variables.  <a href="#ac491ba066dc6e2fda3fb4dd69fd4331d">More...</a><br /></td></tr>
+<tr class="separator:ac491ba066dc6e2fda3fb4dd69fd4331d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa05b23229e883f730e17b2d853943086"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aa05b23229e883f730e17b2d853943086">NonInteger</a></td></tr>
+<tr class="memdesc:aa05b23229e883f730e17b2d853943086"><td class="mdescLeft">&#160;</td><td class="mdescRight">Non-integer valued variables.  <a href="#aa05b23229e883f730e17b2d853943086">More...</a><br /></td></tr>
+<tr class="separator:aa05b23229e883f730e17b2d853943086"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac1d414db60208827e11bf100a6f5fa49"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac1d414db60208827e11bf100a6f5fa49">Nested</a></td></tr>
+<tr class="memdesc:ac1d414db60208827e11bf100a6f5fa49"><td class="mdescLeft">&#160;</td><td class="mdescRight">Nested variables.  <a href="#ac1d414db60208827e11bf100a6f5fa49">More...</a><br /></td></tr>
+<tr class="separator:ac1d414db60208827e11bf100a6f5fa49"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a8532a2c2276f85829398e8eed1fffede"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a8532a2c2276f85829398e8eed1fffede">epsilon</a> ()</td></tr>
+<tr class="memdesc:a8532a2c2276f85829398e8eed1fffede"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return standard library's epsilon for double-precision floating point, <code>std::numeric_limits&lt;double&gt;::epsilon()</code>.  <a href="#a8532a2c2276f85829398e8eed1fffede">More...</a><br /></td></tr>
+<tr class="separator:a8532a2c2276f85829398e8eed1fffede"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4c08b4bba00a46601d760d90fdba943d"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a4c08b4bba00a46601d760d90fdba943d">dummy_precision</a> ()</td></tr>
+<tr class="memdesc:a4c08b4bba00a46601d760d90fdba943d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return dummy precision.  <a href="#a4c08b4bba00a46601d760d90fdba943d">More...</a><br /></td></tr>
+<tr class="separator:a4c08b4bba00a46601d760d90fdba943d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1412b5d850985532c6901671a1e83996"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1412b5d850985532c6901671a1e83996">highest</a> ()</td></tr>
+<tr class="memdesc:a1412b5d850985532c6901671a1e83996"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return standard library's highest for double-precision floating point, <code>std::numeric_limits&lt;double&gt;<a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d" title="Returns the maximum coefficient in the specified column vector. ">max()</a></code>.  <a href="#a1412b5d850985532c6901671a1e83996">More...</a><br /></td></tr>
+<tr class="separator:a1412b5d850985532c6901671a1e83996"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aaf7446de33e7a3e5f21b4548ccaf5c7a"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aaf7446de33e7a3e5f21b4548ccaf5c7a">lowest</a> ()</td></tr>
+<tr class="memdesc:aaf7446de33e7a3e5f21b4548ccaf5c7a"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return standard library's lowest for double-precision floating point, <code>&amp;#45;std::numeric_limits&lt;double&gt;<a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d" title="Returns the maximum coefficient in the specified column vector. ">max()</a></code>.  <a href="#aaf7446de33e7a3e5f21b4548ccaf5c7a">More...</a><br /></td></tr>
+<tr class="separator:aaf7446de33e7a3e5f21b4548ccaf5c7a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct Eigen::NumTraits&lt; stan::math::fvar&lt; T &gt; &gt;</h3>
+
+<p>Numerical traits template override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables. </p>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="ac1d414db60208827e11bf100a6f5fa49"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt;T&gt; Eigen::NumTraits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac1d414db60208827e11bf100a6f5fa49">Nested</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Nested variables. </p>
+<p>Required for numerical traits. </p>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00035">35</a> of file <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa05b23229e883f730e17b2d853943086"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt;T&gt; Eigen::NumTraits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#aa05b23229e883f730e17b2d853943086">NonInteger</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Non-integer valued variables. </p>
+<p>Required for numerical traits. </p>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac491ba066dc6e2fda3fb4dd69fd4331d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt;T&gt; Eigen::NumTraits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Real-valued variables. </p>
+<p>Required for numerical traits. </p>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a768855037a4305f4d90091d81bb92258"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Properties for automatic differentiation variables read by <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix library. </p>
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a768855037a4305f4d90091d81bb92258a274287a3cdae5ae4d48890ae91d32b4b"></a>IsInteger&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="a768855037a4305f4d90091d81bb92258a0bc04ee5f79e5accb84c3ae8b03f2fbc"></a>IsSigned&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="a768855037a4305f4d90091d81bb92258a927bbae55331d3b6f7cb4c78a5fad146"></a>IsComplex&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="a768855037a4305f4d90091d81bb92258a9755aac49dbaa87c3a448219f225d903"></a>RequireInitialization&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="a768855037a4305f4d90091d81bb92258ac32ba519bab5db01a8b5cd1a4d892c0d"></a>ReadCost&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="a768855037a4305f4d90091d81bb92258a9d999dfd79c2ae5df9bf7fe13e625a51"></a>AddCost&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="a768855037a4305f4d90091d81bb92258af070b8b29b40c7b0d09de7e7ee843f62"></a>MulCost&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="a768855037a4305f4d90091d81bb92258a331e8b0d5aeefe0c3d552cddade41ae3"></a>HasFloatingPoint&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00078">78</a> of file <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a4c08b4bba00a46601d760d90fdba943d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a> Eigen::NumTraits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::dummy_precision </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return dummy precision. </p>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00050">50</a> of file <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8532a2c2276f85829398e8eed1fffede"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a> Eigen::NumTraits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::epsilon </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return standard library's epsilon for double-precision floating point, <code>std::numeric_limits&lt;double&gt;::epsilon()</code>. </p>
+<dl class="section return"><dt>Returns</dt><dd>Same epsilon as a <code>double</code>. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00043">43</a> of file <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1412b5d850985532c6901671a1e83996"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a> Eigen::NumTraits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::highest </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return standard library's highest for double-precision floating point, <code>std::numeric_limits&lt;double&gt;<a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d" title="Returns the maximum coefficient in the specified column vector. ">max()</a></code>. </p>
+<dl class="section return"><dt>Returns</dt><dd>Same highest value as a <code>double</code>. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00060">60</a> of file <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aaf7446de33e7a3e5f21b4548ccaf5c7a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac491ba066dc6e2fda3fb4dd69fd4331d">Real</a> Eigen::NumTraits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::lowest </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return standard library's lowest for double-precision floating point, <code>&amp;#45;std::numeric_limits&lt;double&gt;<a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d" title="Returns the maximum coefficient in the specified column vector. ">max()</a></code>. </p>
+<dl class="section return"><dt>Returns</dt><dd>Same lowest value as a <code>double</code>. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00070">70</a> of file <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/fwd/mat/fun/<a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4-members.html b/doc/api/html/struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4-members.html
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">NumTraits&lt; stan::math::var &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">Eigen::NumTraits&lt; stan::math::var &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a4114588cd7374efae03440efcad3674c">AddCost</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a66eef3581ef6582fbb03a30749bc87b2">dummy_precision</a>()</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a6ee32c875e248190487e374103f1d599">epsilon</a>()</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a725304337ba652873babd17b350f8cdc">HasFloatingPoint</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a836253452e51c2bd07cf9f86baadc52e">highest</a>()</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a9138c6bf5ace7c298c0c3a65d2c4e505">IsComplex</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634adc43be51c2a6f27df544131c7c87ea00">IsInteger</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a7aa15fd85e5ac1c996ce5ddefa802df0">IsSigned</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a4888e98688ab32e913800888a9fe04dc">lowest</a>()</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a7a31da528ea371cfe78010d1f09b2130">MulCost</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a77e37676bb3d1900f8a49c159cd330db">Nested</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a34b81621f635c4d8159b8e7f27c31a7e">NonInteger</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a9dd6c69861224ab22c6513bfc95f8dac">ReadCost</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Real</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634aaf0cb8ae61102886fd8979a5e0adf442">RequireInitialization</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">Eigen::NumTraits&lt; stan::math::var &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
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diff --git a/doc/api/html/struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html b/doc/api/html/struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html">NumTraits&lt; stan::math::var &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">Eigen::NumTraits&lt; stan::math::var &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Numerical traits template override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables.  
+ <a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:afbb9dcc15eb3b86fd1ed8a3ef5158634"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <br />
+&#160;&#160;<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634adc43be51c2a6f27df544131c7c87ea00">IsInteger</a> = 0, 
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+<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634aaf0cb8ae61102886fd8979a5e0adf442">RequireInitialization</a> = 0, 
+<br />
+&#160;&#160;<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a9dd6c69861224ab22c6513bfc95f8dac">ReadCost</a> = 1, 
+<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634a4114588cd7374efae03440efcad3674c">AddCost</a> = 1, 
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+<br />
+ }<tr class="memdesc:afbb9dcc15eb3b86fd1ed8a3ef5158634"><td class="mdescLeft">&#160;</td><td class="mdescRight">Properties for automatic differentiation variables read by <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix library.  <a href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#afbb9dcc15eb3b86fd1ed8a3ef5158634">More...</a><br /></td></tr>
+<tr class="separator:afbb9dcc15eb3b86fd1ed8a3ef5158634"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+<tr class="memitem:a03c90fde3d5351ee5fcf5860c410d934"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Real</a></td></tr>
+<tr class="memdesc:a03c90fde3d5351ee5fcf5860c410d934"><td class="mdescLeft">&#160;</td><td class="mdescRight">Real-valued variables.  <a href="#a03c90fde3d5351ee5fcf5860c410d934">More...</a><br /></td></tr>
+<tr class="separator:a03c90fde3d5351ee5fcf5860c410d934"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a34b81621f635c4d8159b8e7f27c31a7e"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a34b81621f635c4d8159b8e7f27c31a7e">NonInteger</a></td></tr>
+<tr class="memdesc:a34b81621f635c4d8159b8e7f27c31a7e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Non-integer valued variables.  <a href="#a34b81621f635c4d8159b8e7f27c31a7e">More...</a><br /></td></tr>
+<tr class="separator:a34b81621f635c4d8159b8e7f27c31a7e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a77e37676bb3d1900f8a49c159cd330db"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a77e37676bb3d1900f8a49c159cd330db">Nested</a></td></tr>
+<tr class="memdesc:a77e37676bb3d1900f8a49c159cd330db"><td class="mdescLeft">&#160;</td><td class="mdescRight">Nested variables.  <a href="#a77e37676bb3d1900f8a49c159cd330db">More...</a><br /></td></tr>
+<tr class="separator:a77e37676bb3d1900f8a49c159cd330db"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a6ee32c875e248190487e374103f1d599"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a6ee32c875e248190487e374103f1d599">epsilon</a> ()</td></tr>
+<tr class="memdesc:a6ee32c875e248190487e374103f1d599"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return standard library's epsilon for double-precision floating point, <code>std::numeric_limits&lt;double&gt;::epsilon()</code>.  <a href="#a6ee32c875e248190487e374103f1d599">More...</a><br /></td></tr>
+<tr class="separator:a6ee32c875e248190487e374103f1d599"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a66eef3581ef6582fbb03a30749bc87b2"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a66eef3581ef6582fbb03a30749bc87b2">dummy_precision</a> ()</td></tr>
+<tr class="memdesc:a66eef3581ef6582fbb03a30749bc87b2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return dummy precision.  <a href="#a66eef3581ef6582fbb03a30749bc87b2">More...</a><br /></td></tr>
+<tr class="separator:a66eef3581ef6582fbb03a30749bc87b2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a836253452e51c2bd07cf9f86baadc52e"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a836253452e51c2bd07cf9f86baadc52e">highest</a> ()</td></tr>
+<tr class="memdesc:a836253452e51c2bd07cf9f86baadc52e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return standard library's highest for double-precision floating point, <code>std::numeric_limits&lt;double&gt;<a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d" title="Returns the maximum coefficient in the specified column vector. ">max()</a></code>.  <a href="#a836253452e51c2bd07cf9f86baadc52e">More...</a><br /></td></tr>
+<tr class="separator:a836253452e51c2bd07cf9f86baadc52e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4888e98688ab32e913800888a9fe04dc"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Real</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a4888e98688ab32e913800888a9fe04dc">lowest</a> ()</td></tr>
+<tr class="memdesc:a4888e98688ab32e913800888a9fe04dc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return standard library's lowest for double-precision floating point, <code>&amp;#45;std::numeric_limits&lt;double&gt;<a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d" title="Returns the maximum coefficient in the specified column vector. ">max()</a></code>.  <a href="#a4888e98688ab32e913800888a9fe04dc">More...</a><br /></td></tr>
+<tr class="separator:a4888e98688ab32e913800888a9fe04dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;&gt;<br />
+struct Eigen::NumTraits&lt; stan::math::var &gt;</h3>
+
+<p>Numerical traits template override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00016">16</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a77e37676bb3d1900f8a49c159cd330db"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> Eigen::NumTraits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a77e37676bb3d1900f8a49c159cd330db">Nested</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Nested variables. </p>
+<p>Required for numerical traits. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00036">36</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a34b81621f635c4d8159b8e7f27c31a7e"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> Eigen::NumTraits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a34b81621f635c4d8159b8e7f27c31a7e">NonInteger</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Non-integer valued variables. </p>
+<p>Required for numerical traits. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00029">29</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a03c90fde3d5351ee5fcf5860c410d934"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> Eigen::NumTraits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::<a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Real</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Real-valued variables. </p>
+<p>Required for numerical traits. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00022">22</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="afbb9dcc15eb3b86fd1ed8a3ef5158634"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Properties for automatic differentiation variables read by <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix library. </p>
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="afbb9dcc15eb3b86fd1ed8a3ef5158634adc43be51c2a6f27df544131c7c87ea00"></a>IsInteger&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="afbb9dcc15eb3b86fd1ed8a3ef5158634a7aa15fd85e5ac1c996ce5ddefa802df0"></a>IsSigned&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="afbb9dcc15eb3b86fd1ed8a3ef5158634a9138c6bf5ace7c298c0c3a65d2c4e505"></a>IsComplex&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="afbb9dcc15eb3b86fd1ed8a3ef5158634aaf0cb8ae61102886fd8979a5e0adf442"></a>RequireInitialization&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="afbb9dcc15eb3b86fd1ed8a3ef5158634a9dd6c69861224ab22c6513bfc95f8dac"></a>ReadCost&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="afbb9dcc15eb3b86fd1ed8a3ef5158634a4114588cd7374efae03440efcad3674c"></a>AddCost&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="afbb9dcc15eb3b86fd1ed8a3ef5158634a7a31da528ea371cfe78010d1f09b2130"></a>MulCost&#160;</td><td class="fielddoc">
+</td></tr>
+<tr><td class="fieldname"><a class="anchor" id="afbb9dcc15eb3b86fd1ed8a3ef5158634a725304337ba652873babd17b350f8cdc"></a>HasFloatingPoint&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00079">79</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a66eef3581ef6582fbb03a30749bc87b2"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Real</a> Eigen::NumTraits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::dummy_precision </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return dummy precision. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00051">51</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6ee32c875e248190487e374103f1d599"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Real</a> Eigen::NumTraits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::epsilon </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return standard library's epsilon for double-precision floating point, <code>std::numeric_limits&lt;double&gt;::epsilon()</code>. </p>
+<dl class="section return"><dt>Returns</dt><dd>Same epsilon as a <code>double</code>. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00044">44</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a836253452e51c2bd07cf9f86baadc52e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Real</a> Eigen::NumTraits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::highest </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return standard library's highest for double-precision floating point, <code>std::numeric_limits&lt;double&gt;<a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d" title="Returns the maximum coefficient in the specified column vector. ">max()</a></code>. </p>
+<dl class="section return"><dt>Returns</dt><dd>Same highest value as a <code>double</code>. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00061">61</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4888e98688ab32e913800888a9fe04dc"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="struct_eigen_1_1_num_traits_3_01stan_1_1math_1_1var_01_4.html#a03c90fde3d5351ee5fcf5860c410d934">Real</a> Eigen::NumTraits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::lowest </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return standard library's lowest for double-precision floating point, <code>&amp;#45;std::numeric_limits&lt;double&gt;<a class="el" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d" title="Returns the maximum coefficient in the specified column vector. ">max()</a></code>. </p>
+<dl class="section return"><dt>Returns</dt><dd>Same lowest value as a <code>double</code>. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00071">71</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/mat/fun/<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
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+<!-- end header part -->
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
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+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html">general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var, LhsStorageOrder, ConjugateLhs, stan::math::var, RhsStorageOrder, ConjugateRhs, ColMajor &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">LhsScalar</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a9cfc2802da5013680db2b43c371602f2">ResScalar</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">RhsScalar</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a808d61f0706efe113aebca78c4b27982">run</a>(Index rows, Index cols, Index depth, const LhsScalar *_lhs, Index lhsStride, const RhsScalar *_rhs, Index rhsStride, ResScalar *res, Index resStride, const ResScalar &amp;alpha, level3_blocking&lt; LhsScalar, RhsScalar &gt; &amp;, GemmParallelInfo&lt; Index &gt; *)</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<title>Stan Math Library: Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt; Struct Template Reference</title>
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+  <ul>
+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html">general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1var891c74b697344c5a91d6cb1ea74e2dbb.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var, LhsStorageOrder, ConjugateLhs, stan::math::var, RhsStorageOrder, ConjugateRhs, ColMajor &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a435b27a1afc1ce0d1c9f7e0bdd786f2f"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">LhsScalar</a></td></tr>
+<tr class="separator:a435b27a1afc1ce0d1c9f7e0bdd786f2f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6c1460b63fb2a4f7587804432cc6182d"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">RhsScalar</a></td></tr>
+<tr class="separator:a6c1460b63fb2a4f7587804432cc6182d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9cfc2802da5013680db2b43c371602f2"><td class="memItemLeft" align="right" valign="top">typedef scalar_product_traits&lt; <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">LhsScalar</a>, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">RhsScalar</a> &gt;::ReturnType&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a9cfc2802da5013680db2b43c371602f2">ResScalar</a></td></tr>
+<tr class="separator:a9cfc2802da5013680db2b43c371602f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a808d61f0706efe113aebca78c4b27982"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a808d61f0706efe113aebca78c4b27982">run</a> (Index rows, Index cols, Index depth, const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">LhsScalar</a> *_lhs, Index lhsStride, const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">RhsScalar</a> *_rhs, Index rhsStride, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a9cfc2802da5013680db2b43c371602f2">ResScalar</a> *res, Index resStride, const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a9cfc2802da5013680db2b43c371602f2">ResScalar</a> &amp;alpha, level3_blocking&lt; <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">LhsScalar</a>, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">RhsScalar</a> &gt; &amp;, GemmParallelInfo&lt; Index &gt; *)</td></tr>
+<tr class="separator:a808d61f0706efe113aebca78c4b27982"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename Index, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs&gt;<br />
+struct Eigen::internal::general_matrix_matrix_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00186">186</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a435b27a1afc1ce0d1c9f7e0bdd786f2f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> Eigen::internal::general_matrix_matrix_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;::<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">LhsScalar</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00190">190</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9cfc2802da5013680db2b43c371602f2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef scalar_product_traits&lt;<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">LhsScalar</a>, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">RhsScalar</a>&gt;::ReturnType Eigen::internal::general_matrix_matrix_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;::<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a9cfc2802da5013680db2b43c371602f2">ResScalar</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00193">193</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6c1460b63fb2a4f7587804432cc6182d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> Eigen::internal::general_matrix_matrix_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;::<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">RhsScalar</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00191">191</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a808d61f0706efe113aebca78c4b27982"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void Eigen::internal::general_matrix_matrix_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   LhsStorageOrder, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, RhsStorageOrder,                                                                                                                                                                                                                                                                                                                   ConjugateRhs, ColMajor &gt;::run </td>
+          <td>(</td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>rows</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>cols</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>depth</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">LhsScalar</a> *&#160;</td>
+          <td class="paramname"><em>_lhs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>lhsStride</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">RhsScalar</a> *&#160;</td>
+          <td class="paramname"><em>_rhs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>rhsStride</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a9cfc2802da5013680db2b43c371602f2">ResScalar</a> *&#160;</td>
+          <td class="paramname"><em>res</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>resStride</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a9cfc2802da5013680db2b43c371602f2">ResScalar</a> &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">level3_blocking&lt; <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a435b27a1afc1ce0d1c9f7e0bdd786f2f">LhsScalar</a>, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__matrix__product_3_01_index_00_01stan_1_1math_1_1vare08cb3fdb73f9bece710a9e80e67eb28.html#a6c1460b63fb2a4f7587804432cc6182d">RhsScalar</a> &gt; &amp;&#160;</td>
+          <td class="paramname">, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">GemmParallelInfo&lt; Index &gt; *&#160;</td>
+          <td class="paramname">&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00194">194</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/mat/fun/<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<title>Stan Math Library: Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt; Struct Template Reference</title>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html">general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var66e15893d6f734727ea794ad7f157d69.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor, ConjugateLhs, stan::math::var, ConjugateRhs &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Override matrix-vector and matrix-matrix products to use more efficient implementation.  
+ <a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a8b09fce12734b3fb7b6387e5d734e31d"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a8b09fce12734b3fb7b6387e5d734e31daf762d20d9febc6f049653e647bc07bc3">LhsStorageOrder</a> = ColMajor
+ }<tr class="separator:a8b09fce12734b3fb7b6387e5d734e31d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+<tr class="memitem:a99d7c59e9613a370e216a928363ea478"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a99d7c59e9613a370e216a928363ea478">LhsScalar</a></td></tr>
+<tr class="separator:a99d7c59e9613a370e216a928363ea478"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0e0d73e4f0b4b52372a962a513896bfe"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a0e0d73e4f0b4b52372a962a513896bfe">RhsScalar</a></td></tr>
+<tr class="separator:a0e0d73e4f0b4b52372a962a513896bfe"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aef94ec4f1ef3a0dd1845874a4cfbbaa7"><td class="memItemLeft" align="right" valign="top">typedef scalar_product_traits&lt; <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a99d7c59e9613a370e216a928363ea478">LhsScalar</a>, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a0e0d73e4f0b4b52372a962a513896bfe">RhsScalar</a> &gt;::ReturnType&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#aef94ec4f1ef3a0dd1845874a4cfbbaa7">ResScalar</a></td></tr>
+<tr class="separator:aef94ec4f1ef3a0dd1845874a4cfbbaa7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a838f3f363697ce818a0d9bd0c8975316"><td class="memItemLeft" align="right" valign="top">static EIGEN_DONT_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a838f3f363697ce818a0d9bd0c8975316">run</a> (Index rows, Index cols, const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a99d7c59e9613a370e216a928363ea478">LhsScalar</a> *lhs, Index lhsStride, const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a0e0d73e4f0b4b52372a962a513896bfe">RhsScalar</a> *rhs, Index rhsIncr, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#aef94ec4f1ef3a0dd1845874a4cfbbaa7">ResScalar</a> *res, Index resIncr, const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#aef94ec4f1ef3a0dd1845874a4cfbbaa7">ResScalar</a> &amp;alpha)</td></tr>
+<tr class="separator:a838f3f363697ce818a0d9bd0c8975316"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename Index, bool ConjugateLhs, bool ConjugateRhs&gt;<br />
+struct Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</h3>
+
+<p>Override matrix-vector and matrix-matrix products to use more efficient implementation. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00128">128</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a99d7c59e9613a370e216a928363ea478"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , bool ConjugateLhs, bool ConjugateRhs&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> Eigen::internal::general_matrix_vector_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;::<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a99d7c59e9613a370e216a928363ea478">LhsScalar</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00131">131</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aef94ec4f1ef3a0dd1845874a4cfbbaa7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , bool ConjugateLhs, bool ConjugateRhs&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef scalar_product_traits&lt;<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a99d7c59e9613a370e216a928363ea478">LhsScalar</a>, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a0e0d73e4f0b4b52372a962a513896bfe">RhsScalar</a>&gt;::ReturnType Eigen::internal::general_matrix_vector_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;::<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#aef94ec4f1ef3a0dd1845874a4cfbbaa7">ResScalar</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00134">134</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0e0d73e4f0b4b52372a962a513896bfe"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , bool ConjugateLhs, bool ConjugateRhs&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> Eigen::internal::general_matrix_vector_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;::<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a0e0d73e4f0b4b52372a962a513896bfe">RhsScalar</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00132">132</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a8b09fce12734b3fb7b6387e5d734e31d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , bool ConjugateLhs, bool ConjugateRhs&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a8b09fce12734b3fb7b6387e5d734e31daf762d20d9febc6f049653e647bc07bc3"></a>LhsStorageOrder&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00135">135</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a838f3f363697ce818a0d9bd0c8975316"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , bool ConjugateLhs, bool ConjugateRhs&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static EIGEN_DONT_INLINE void Eigen::internal::general_matrix_vector_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;::run </td>
+          <td>(</td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>rows</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>cols</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a99d7c59e9613a370e216a928363ea478">LhsScalar</a> *&#160;</td>
+          <td class="paramname"><em>lhs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>lhsStride</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a0e0d73e4f0b4b52372a962a513896bfe">RhsScalar</a> *&#160;</td>
+          <td class="paramname"><em>rhs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>rhsIncr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#aef94ec4f1ef3a0dd1845874a4cfbbaa7">ResScalar</a> *&#160;</td>
+          <td class="paramname"><em>res</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>resIncr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#aef94ec4f1ef3a0dd1845874a4cfbbaa7">ResScalar</a> &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00137">137</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/mat/fun/<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html">general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor, ConjugateLhs, stan::math::var, ConjugateRhs &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a99d7c59e9613a370e216a928363ea478">LhsScalar</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a8b09fce12734b3fb7b6387e5d734e31daf762d20d9febc6f049653e647bc07bc3">LhsStorageOrder</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#aef94ec4f1ef3a0dd1845874a4cfbbaa7">ResScalar</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a0e0d73e4f0b4b52372a962a513896bfe">RhsScalar</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html#a838f3f363697ce818a0d9bd0c8975316">run</a>(Index rows, Index cols, const LhsScalar *lhs, Index lhsStride, const RhsScalar *rhs, Index rhsIncr, ResScalar *res, Index resIncr, const ResScalar &amp;alpha)</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var1321060376072aa9eff79393bb0b3bcf.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, ColMajor,                                                                                                                                                                                                                                                                                                                   ConjugateLhs, stan::math::var,                                                                                                                                                                                                                                                                                                                   ConjugateRhs &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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new file mode 100644
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@@ -0,0 +1,119 @@
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+<html xmlns="http://www.w3.org/1999/xhtml">
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+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+  <ul>
+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html">general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, RowMajor, ConjugateLhs, stan::math::var, ConjugateRhs &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af233aa7390c24235fde858856935742f">LhsScalar</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#a7b9c7954ebed92cd80e28eb22534c328ab6ed44d480d1676361b8e83d84ffcd6b">LhsStorageOrder</a> enum value</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#a8897ce7e26ba6a8e5a6de5faddf521cb">ResScalar</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">RhsScalar</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#ad408d758d5b0c1732f4f88a0a4784b78">run</a>(Index rows, Index cols, const LhsScalar *lhs, Index lhsStride, const RhsScalar *rhs, Index rhsIncr, ResScalar *res, Index resIncr, const RhsScalar &amp;alpha)</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+<title>Stan Math Library: Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt; Struct Template Reference</title>
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+  <ul>
+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html">general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var71b7c65516c0cd3d91b4d68782f6b239.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var, RowMajor, ConjugateLhs, stan::math::var, ConjugateRhs &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a7b9c7954ebed92cd80e28eb22534c328"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#a7b9c7954ebed92cd80e28eb22534c328ab6ed44d480d1676361b8e83d84ffcd6b">LhsStorageOrder</a> = RowMajor
+ }<tr class="separator:a7b9c7954ebed92cd80e28eb22534c328"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+<tr class="memitem:af233aa7390c24235fde858856935742f"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af233aa7390c24235fde858856935742f">LhsScalar</a></td></tr>
+<tr class="separator:af233aa7390c24235fde858856935742f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af5f8086e51fad26abefd770ddd0e9d0f"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">RhsScalar</a></td></tr>
+<tr class="separator:af5f8086e51fad26abefd770ddd0e9d0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8897ce7e26ba6a8e5a6de5faddf521cb"><td class="memItemLeft" align="right" valign="top">typedef scalar_product_traits&lt; <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af233aa7390c24235fde858856935742f">LhsScalar</a>, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">RhsScalar</a> &gt;::ReturnType&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#a8897ce7e26ba6a8e5a6de5faddf521cb">ResScalar</a></td></tr>
+<tr class="separator:a8897ce7e26ba6a8e5a6de5faddf521cb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:ad408d758d5b0c1732f4f88a0a4784b78"><td class="memItemLeft" align="right" valign="top">static EIGEN_DONT_INLINE void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#ad408d758d5b0c1732f4f88a0a4784b78">run</a> (Index rows, Index cols, const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af233aa7390c24235fde858856935742f">LhsScalar</a> *lhs, Index lhsStride, const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">RhsScalar</a> *rhs, Index rhsIncr, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#a8897ce7e26ba6a8e5a6de5faddf521cb">ResScalar</a> *res, Index resIncr, const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">RhsScalar</a> &amp;alpha)</td></tr>
+<tr class="separator:ad408d758d5b0c1732f4f88a0a4784b78"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename Index, bool ConjugateLhs, bool ConjugateRhs&gt;<br />
+struct Eigen::internal::general_matrix_vector_product&lt; Index, stan::math::var,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   stan::math::var, ConjugateRhs &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00157">157</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="af233aa7390c24235fde858856935742f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , bool ConjugateLhs, bool ConjugateRhs&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> Eigen::internal::general_matrix_vector_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, ConjugateRhs &gt;::<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af233aa7390c24235fde858856935742f">LhsScalar</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00160">160</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8897ce7e26ba6a8e5a6de5faddf521cb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , bool ConjugateLhs, bool ConjugateRhs&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef scalar_product_traits&lt;<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af233aa7390c24235fde858856935742f">LhsScalar</a>, <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">RhsScalar</a>&gt;::ReturnType Eigen::internal::general_matrix_vector_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, ConjugateRhs &gt;::<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#a8897ce7e26ba6a8e5a6de5faddf521cb">ResScalar</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00163">163</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af5f8086e51fad26abefd770ddd0e9d0f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , bool ConjugateLhs, bool ConjugateRhs&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> Eigen::internal::general_matrix_vector_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, ConjugateRhs &gt;::<a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">RhsScalar</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00161">161</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a7b9c7954ebed92cd80e28eb22534c328"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , bool ConjugateLhs, bool ConjugateRhs&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a7b9c7954ebed92cd80e28eb22534c328ab6ed44d480d1676361b8e83d84ffcd6b"></a>LhsStorageOrder&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00164">164</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="ad408d758d5b0c1732f4f88a0a4784b78"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename Index , bool ConjugateLhs, bool ConjugateRhs&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static EIGEN_DONT_INLINE void Eigen::internal::general_matrix_vector_product&lt; Index, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>,                                                                                                                                                                                                                                                                                                                   RowMajor, ConjugateLhs,                                                                                                                                                                                                                                                                                                                   <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, ConjugateRhs &gt;::run </td>
+          <td>(</td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>rows</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>cols</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af233aa7390c24235fde858856935742f">LhsScalar</a> *&#160;</td>
+          <td class="paramname"><em>lhs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>lhsStride</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">RhsScalar</a> *&#160;</td>
+          <td class="paramname"><em>rhs</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>rhsIncr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype"><a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#a8897ce7e26ba6a8e5a6de5faddf521cb">ResScalar</a> *&#160;</td>
+          <td class="paramname"><em>res</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Index&#160;</td>
+          <td class="paramname"><em>resIncr</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="struct_eigen_1_1internal_1_1general__matrix__vector__product_3_01_index_00_01stan_1_1math_1_1var869db506dfaf992a1f3fe10cc2ff3202.html#af5f8086e51fad26abefd770ddd0e9d0f">RhsScalar</a> &amp;&#160;</td>
+          <td class="paramname"><em>alpha</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00167">167</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/mat/fun/<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
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+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li><a href="functions.html"><span>Class&#160;Members</span></a></li>
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+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html">scalar_product_traits&lt; double, stan::math::var &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">Eigen::internal::scalar_product_traits&lt; double, stan::math::var &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html">Eigen::internal::scalar_product_traits&lt; double, stan::math::var &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html#a0fec89098be1ad8d0b1b974eb804b6a9">ReturnType</a> typedef</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html">Eigen::internal::scalar_product_traits&lt; double, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html b/doc/api/html/struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
+<head>
+<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Eigen::internal::scalar_product_traits&lt; double, stan::math::var &gt; Struct Template Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="search/searchdata.js"></script>
+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
+</script>
+<link href="doxygen.css" rel="stylesheet" type="text/css" />
+</head>
+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
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+</div>
+<!-- end header part -->
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+<script type="text/javascript">
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+      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
+      <li><a href="modules.html"><span>Modules</span></a></li>
+      <li><a href="namespaces.html"><span>Namespaces</span></a></li>
+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
+      <li><a href="files.html"><span>Files</span></a></li>
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+        <span class="left">
+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
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+<div id="MSearchSelectWindow"
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+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html">scalar_product_traits&lt; double, stan::math::var &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">Eigen::internal::scalar_product_traits&lt; double, stan::math::var &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Scalar product traits override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables.  
+ <a href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a0fec89098be1ad8d0b1b974eb804b6a9"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html#a0fec89098be1ad8d0b1b974eb804b6a9">ReturnType</a></td></tr>
+<tr class="separator:a0fec89098be1ad8d0b1b974eb804b6a9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;&gt;<br />
+struct Eigen::internal::scalar_product_traits&lt; double, stan::math::var &gt;</h3>
+
+<p>Scalar product traits override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00120">120</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a0fec89098be1ad8d0b1b974eb804b6a9"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> Eigen::internal::scalar_product_traits&lt; double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::<a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01double_00_01stan_1_1math_1_1var_01_4.html#a0fec89098be1ad8d0b1b974eb804b6a9">ReturnType</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00121">121</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/mat/fun/<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4-members.html b/doc/api/html/struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4-members.html
new file mode 100644
index 00000000000..c2c9142e4ec
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+++ b/doc/api/html/struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4-members.html
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Member List</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
+<link href="search/search.css" rel="stylesheet" type="text/css"/>
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+  $(document).ready(function() { init_search(); });
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">Eigen::internal::scalar_product_traits&lt; stan::math::var, double &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html">Eigen::internal::scalar_product_traits&lt; stan::math::var, double &gt;</a>, including all inherited members.</p>
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+  <i>&copy; 2011&ndash;2016,
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diff --git a/doc/api/html/struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html b/doc/api/html/struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html">scalar_product_traits&lt; stan::math::var, double &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">Eigen::internal::scalar_product_traits&lt; stan::math::var, double &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Scalar product traits override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables.  
+ <a href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:abf081b5561d2b25d3ecfed025259858d"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html#abf081b5561d2b25d3ecfed025259858d">ReturnType</a></td></tr>
+<tr class="separator:abf081b5561d2b25d3ecfed025259858d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;&gt;<br />
+struct Eigen::internal::scalar_product_traits&lt; stan::math::var, double &gt;</h3>
+
+<p>Scalar product traits override for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> for automatic gradient variables. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00111">111</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="abf081b5561d2b25d3ecfed025259858d"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> Eigen::internal::scalar_product_traits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::<a class="el" href="struct_eigen_1_1internal_1_1scalar__product__traits_3_01stan_1_1math_1_1var_00_01double_01_4.html#abf081b5561d2b25d3ecfed025259858d">ReturnType</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00112">112</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/mat/fun/<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4-members.html b/doc/api/html/struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4-members.html
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+<!-- end header part -->
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+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html">significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">Eigen::internal::significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html">Eigen::internal::significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html#a9836117e79b68d6d362a4b775195e6b4">run</a>()</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html">Eigen::internal::significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html b/doc/api/html/struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html">significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">Eigen::internal::significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implemented this for printing to stream.  
+ <a href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a9836117e79b68d6d362a4b775195e6b4"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1fvar_3_01_t_01_4_00_01false_01_4.html#a9836117e79b68d6d362a4b775195e6b4">run</a> ()</td></tr>
+<tr class="separator:a9836117e79b68d6d362a4b775195e6b4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct Eigen::internal::significant_decimals_default_impl&lt; stan::math::fvar&lt; T &gt;, false &gt;</h3>
+
+<p>Implemented this for printing to stream. </p>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00095">95</a> of file <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a9836117e79b68d6d362a4b775195e6b4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static int Eigen::internal::significant_decimals_default_impl&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;, false &gt;::run </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00096">96</a> of file <a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/fwd/mat/fun/<a class="el" href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+        name="MSearchResults" id="MSearchResults">
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+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html">significant_decimals_default_impl&lt; stan::math::var, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">Eigen::internal::significant_decimals_default_impl&lt; stan::math::var, false &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html">Eigen::internal::significant_decimals_default_impl&lt; stan::math::var, false &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html#aa8848c328f6a9e8262497de032911cac">run</a>()</td><td class="entry"><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html">Eigen::internal::significant_decimals_default_impl&lt; stan::math::var, false &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html b/doc/api/html/struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html
new file mode 100644
index 00000000000..48002a484ca
--- /dev/null
+++ b/doc/api/html/struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html
@@ -0,0 +1,161 @@
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: Eigen::internal::significant_decimals_default_impl&lt; stan::math::var, false &gt; Struct Template Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
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+<table cellspacing="0" cellpadding="0">
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
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+</table>
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+        name="MSearchResults" id="MSearchResults">
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+<li class="navelem"><a class="el" href="namespace_eigen.html">Eigen</a></li><li class="navelem"><a class="el" href="namespace_eigen_1_1internal.html">internal</a></li><li class="navelem"><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html">significant_decimals_default_impl&lt; stan::math::var, false &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">Eigen::internal::significant_decimals_default_impl&lt; stan::math::var, false &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Implemented this for printing to stream.  
+ <a href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:aa8848c328f6a9e8262497de032911cac"><td class="memItemLeft" align="right" valign="top">static int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="struct_eigen_1_1internal_1_1significant__decimals__default__impl_3_01stan_1_1math_1_1var_00_01false_01_4.html#aa8848c328f6a9e8262497de032911cac">run</a> ()</td></tr>
+<tr class="separator:aa8848c328f6a9e8262497de032911cac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;&gt;<br />
+struct Eigen::internal::significant_decimals_default_impl&lt; stan::math::var, false &gt;</h3>
+
+<p>Implemented this for printing to stream. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00096">96</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="aa8848c328f6a9e8262497de032911cac"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static int Eigen::internal::significant_decimals_default_impl&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, false &gt;::run </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00097">97</a> of file <a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/mat/fun/<a class="el" href="rev_2mat_2fun_2_eigen___num_traits_8hpp_source.html">Eigen_NumTraits.hpp</a></li>
+</ul>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1contains__fvar-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::contains_fvar&lt; T1, T2, T3, T4, T5, T6 &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of the template parameters.  
+ <a href="structstan_1_1contains__fvar.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="contains__fvar_8hpp_source.html">contains_fvar.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:ad9569a024e127cb8461794ed2ace7a93"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1contains__fvar.html#ad9569a024e127cb8461794ed2ace7a93a5a1eddf5b1539585920063fb6cd6835b">value</a>
+ }<tr class="separator:ad9569a024e127cb8461794ed2ace7a93"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double&gt;<br />
+struct stan::contains_fvar&lt; T1, T2, T3, T4, T5, T6 &gt;</h3>
+
+<p>Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of the template parameters. </p>
+
+<p>Definition at line <a class="el" href="contains__fvar_8hpp_source.html#l00019">19</a> of file <a class="el" href="contains__fvar_8hpp_source.html">contains_fvar.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="ad9569a024e127cb8461794ed2ace7a93"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2  = double, typename T3  = double, typename T4  = double, typename T5  = double, typename T6  = double&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="ad9569a024e127cb8461794ed2ace7a93a5a1eddf5b1539585920063fb6cd6835b"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="contains__fvar_8hpp_source.html#l00020">20</a> of file <a class="el" href="contains__fvar_8hpp_source.html">contains_fvar.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="contains__fvar_8hpp_source.html">contains_fvar.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::contains_nonconstant_struct&lt; T1, T2, T3, T4, T5, T6 &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1contains__nonconstant__struct.html">stan::contains_nonconstant_struct&lt; T1, T2, T3, T4, T5, T6 &gt;</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1contains__nonconstant__struct.html#a457632eff8fc3b10489ad3db4c130eb4aaf8e79ca7e4a151708d1dfb9606071de">value</a> enum value</td><td class="entry"><a class="el" href="structstan_1_1contains__nonconstant__struct.html">stan::contains_nonconstant_struct&lt; T1, T2, T3, T4, T5, T6 &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+  <td id="projectalign" style="padding-left: 0.5em;">
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1contains__nonconstant__struct-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::contains_nonconstant_struct&lt; T1, T2, T3, T4, T5, T6 &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="contains__nonconstant__struct_8hpp_source.html">contains_nonconstant_struct.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a457632eff8fc3b10489ad3db4c130eb4"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1contains__nonconstant__struct.html#a457632eff8fc3b10489ad3db4c130eb4aaf8e79ca7e4a151708d1dfb9606071de">value</a>
+ }<tr class="separator:a457632eff8fc3b10489ad3db4c130eb4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double&gt;<br />
+struct stan::contains_nonconstant_struct&lt; T1, T2, T3, T4, T5, T6 &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="contains__nonconstant__struct_8hpp_source.html#l00014">14</a> of file <a class="el" href="contains__nonconstant__struct_8hpp_source.html">contains_nonconstant_struct.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a457632eff8fc3b10489ad3db4c130eb4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2  = double, typename T3  = double, typename T4  = double, typename T5  = double, typename T6  = double&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
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+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="contains__nonconstant__struct_8hpp_source.html#l00015">15</a> of file <a class="el" href="contains__nonconstant__struct_8hpp_source.html">contains_nonconstant_struct.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="contains__nonconstant__struct_8hpp_source.html">contains_nonconstant_struct.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1contains__vector.html">stan::contains_vector&lt; T1, T2, T3, T4, T5, T6 &gt;</a>, including all inherited members.</p>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1contains__vector-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::contains_vector&lt; T1, T2, T3, T4, T5, T6 &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="contains__vector_8hpp_source.html">contains_vector.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
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+<tr class="memitem:ac4ba729042b3d88ab1cd17c07922dcba"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1contains__vector.html#ac4ba729042b3d88ab1cd17c07922dcbaa0ab5ee57c23533e870bb22a79156e66b">value</a>
+ }<tr class="separator:ac4ba729042b3d88ab1cd17c07922dcba"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double&gt;<br />
+struct stan::contains_vector&lt; T1, T2, T3, T4, T5, T6 &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="contains__vector_8hpp_source.html#l00014">14</a> of file <a class="el" href="contains__vector_8hpp_source.html">contains_vector.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="ac4ba729042b3d88ab1cd17c07922dcba"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
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+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="ac4ba729042b3d88ab1cd17c07922dcbaa0ab5ee57c23533e870bb22a79156e66b"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="contains__vector_8hpp_source.html#l00015">15</a> of file <a class="el" href="contains__vector_8hpp_source.html">contains_vector.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="contains__vector_8hpp_source.html">contains_vector.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <div class="headertitle">
+<div class="title">stan::error_index Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="error__index_8hpp_source.html">error_index.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a50cc721c8b6d19bdbb1492f3bb1e1b75"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1error__index.html#a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112">value</a>
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+</td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock">
+<p>Definition at line <a class="el" href="error__index_8hpp_source.html#l00006">6</a> of file <a class="el" href="error__index_8hpp_source.html">error_index.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a50cc721c8b6d19bdbb1492f3bb1e1b75"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a50cc721c8b6d19bdbb1492f3bb1e1b75a0878d922bbc8cd2f709a333e184dd112"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="error__index_8hpp_source.html#l00007">7</a> of file <a class="el" href="error__index_8hpp_source.html">error_index.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="error__index_8hpp_source.html">error_index.hpp</a></li>
+</ul>
+</div><!-- contents -->
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+  <span style="float:left; margin=0 1em 0 1em;">
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">stan::is_constant&lt; T &gt; Member List</div>  </div>
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+</div>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__constant-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_constant&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Metaprogramming struct to detect whether a given type is constant in the mathematical sense (not the C++ <code>const</code> sense).  
+ <a href="structstan_1_1is__constant.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="is__constant_8hpp_source.html">is_constant.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
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+<tr class="memitem:acb66e5a01cac801cc2a42f4d643cf391"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__constant.html#acb66e5a01cac801cc2a42f4d643cf391aecafc97e964e672dd93bcb490a0a1811">value</a> = boost::is_convertible&lt;T, double&gt;::value
+ }<tr class="memdesc:acb66e5a01cac801cc2a42f4d643cf391"><td class="mdescLeft">&#160;</td><td class="mdescRight">A boolean constant with equal to <code>true</code> if the type parameter <code>T</code> is a mathematical constant.  <a href="structstan_1_1is__constant.html#acb66e5a01cac801cc2a42f4d643cf391">More...</a><br /></td></tr>
+<tr class="separator:acb66e5a01cac801cc2a42f4d643cf391"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_constant&lt; T &gt;</h3>
+
+<p>Metaprogramming struct to detect whether a given type is constant in the mathematical sense (not the C++ <code>const</code> sense). </p>
+<p>If the parameter type is constant, <code>value</code> will be equal to <code>true</code>.</p>
+<p>The baseline implementation in this abstract base class is to classify a type <code>T</code> as constant if it can be converted (i.e., assigned) to a <code>double</code>. This baseline should be overridden for any type that should be treated as a variable.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type being tested. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="is__constant_8hpp_source.html#l00022">22</a> of file <a class="el" href="is__constant_8hpp_source.html">is_constant.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="acb66e5a01cac801cc2a42f4d643cf391"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>A boolean constant with equal to <code>true</code> if the type parameter <code>T</code> is a mathematical constant. </p>
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="acb66e5a01cac801cc2a42f4d643cf391aecafc97e964e672dd93bcb490a0a1811"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="is__constant_8hpp_source.html#l00027">27</a> of file <a class="el" href="is__constant_8hpp_source.html">is_constant.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="is__constant_8hpp_source.html">is_constant.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__constant__struct.html">is_constant_struct</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::is_constant_struct&lt; T &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct&lt; T &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1is__constant__struct.html#adaf287c8f806d2abdcc74c0ff74ff16da3f9610c0a10a3879fccf6f212dd3d411">value</a> enum value</td><td class="entry"><a class="el" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct&lt; T &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1is__constant__struct.html b/doc/api/html/structstan_1_1is__constant__struct.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml">
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__constant__struct.html">is_constant_struct</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__constant__struct-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_constant_struct&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Metaprogram to determine if a type has a base scalar type that can be assigned to type double.  
+ <a href="structstan_1_1is__constant__struct.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:adaf287c8f806d2abdcc74c0ff74ff16d"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__constant__struct.html#adaf287c8f806d2abdcc74c0ff74ff16da3f9610c0a10a3879fccf6f212dd3d411">value</a> = is_constant&lt;T&gt;::value
+ }<tr class="separator:adaf287c8f806d2abdcc74c0ff74ff16d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_constant_struct&lt; T &gt;</h3>
+
+<p>Metaprogram to determine if a type has a base scalar type that can be assigned to type double. </p>
+
+<p>Definition at line <a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">13</a> of file <a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="adaf287c8f806d2abdcc74c0ff74ff16d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="adaf287c8f806d2abdcc74c0ff74ff16da3f9610c0a10a3879fccf6f212dd3d411"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html#l00014">14</a> of file <a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html">is_constant_struct&lt; Eigen::Block&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::is_constant_struct&lt; Eigen::Block&lt; T &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html">stan::is_constant_struct&lt; Eigen::Block&lt; T &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html">is_constant_struct&lt; Eigen::Block&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__constant__struct_3_01_eigen_1_1_block_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_constant_struct&lt; Eigen::Block&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a589b61a96b7a3a5ff5583cbba3b37a79"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html#a589b61a96b7a3a5ff5583cbba3b37a79ae47d85a4a43fdce9e0a2be294e6e0622">value</a> = is_constant_struct&lt;T&gt;::value
+ }<tr class="separator:a589b61a96b7a3a5ff5583cbba3b37a79"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_constant_struct&lt; Eigen::Block&lt; T &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html#l00017">17</a> of file <a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a589b61a96b7a3a5ff5583cbba3b37a79"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a589b61a96b7a3a5ff5583cbba3b37a79ae47d85a4a43fdce9e0a2be294e6e0622"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html#l00018">18</a> of file <a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4-members.html b/doc/api/html/structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4-members.html
new file mode 100644
index 00000000000..d80f0df15e7
--- /dev/null
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<table cellspacing="0" cellpadding="0">
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div id="MSearchResultsWindow">
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html">is_constant_struct&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::is_constant_struct&lt; Eigen::Matrix&lt; T, R, C &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html">stan::is_constant_struct&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a8d036ee2867e686ef15ccd9b72b0f66ba8a919616f9227fcfa43cb7134758120a">value</a> enum value</td><td class="entry"><a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html">stan::is_constant_struct&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html b/doc/api/html/structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html
new file mode 100644
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--- /dev/null
+++ b/doc/api/html/structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+ </tbody>
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html">is_constant_struct&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_constant_struct&lt; Eigen::Matrix&lt; T, R, C &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a8d036ee2867e686ef15ccd9b72b0f66b"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__constant__struct_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a8d036ee2867e686ef15ccd9b72b0f66ba8a919616f9227fcfa43cb7134758120a">value</a> = is_constant_struct&lt;T&gt;::value
+ }<tr class="separator:a8d036ee2867e686ef15ccd9b72b0f66b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, int R, int C&gt;<br />
+struct stan::is_constant_struct&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html#l00012">12</a> of file <a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a8d036ee2867e686ef15ccd9b72b0f66b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a8d036ee2867e686ef15ccd9b72b0f66ba8a919616f9227fcfa43cb7134758120a"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
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+<p>Definition at line <a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html#l00013">13</a> of file <a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__constant__struct_3_01std_1_1vector_3_01_t_01_4_01_4.html">is_constant_struct&lt; std::vector&lt; T &gt; &gt;</a></li>  </ul>
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+<div class="title">stan::is_constant_struct&lt; std::vector&lt; T &gt; &gt; Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__constant__struct_3_01std_1_1vector_3_01_t_01_4_01_4.html">stan::is_constant_struct&lt; std::vector&lt; T &gt; &gt;</a>, including all inherited members.</p>
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+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<script type="text/javascript" src="jquery.js"></script>
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__constant__struct_3_01std_1_1vector_3_01_t_01_4_01_4.html">is_constant_struct&lt; std::vector&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__constant__struct_3_01std_1_1vector_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_constant_struct&lt; std::vector&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="arr_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a49ea631608da73ac9bcec0db98aeea9e"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__constant__struct_3_01std_1_1vector_3_01_t_01_4_01_4.html#a49ea631608da73ac9bcec0db98aeea9ea889b9838820d11325b1b1e2e6dcd1f62">value</a> = is_constant_struct&lt;T&gt;::value
+ }<tr class="separator:a49ea631608da73ac9bcec0db98aeea9e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_constant_struct&lt; std::vector&lt; T &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="arr_2meta_2is__constant__struct_8hpp_source.html#l00011">11</a> of file <a class="el" href="arr_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a49ea631608da73ac9bcec0db98aeea9e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
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+</div><div class="memdoc">
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+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a49ea631608da73ac9bcec0db98aeea9ea889b9838820d11325b1b1e2e6dcd1f62"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="arr_2meta_2is__constant__struct_8hpp_source.html#l00012">12</a> of file <a class="el" href="arr_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/arr/meta/<a class="el" href="arr_2meta_2is__constant__struct_8hpp_source.html">is_constant_struct.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::is_fvar&lt; T &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__fvar.html">stan::is_fvar&lt; T &gt;</a>, including all inherited members.</p>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__fvar.html">is_fvar</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__fvar-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_fvar&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="prim_2scal_2meta_2is__fvar_8hpp_source.html">is_fvar.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:aee7f99a61d7b21a79c1dfd4a3619571e"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__fvar.html#aee7f99a61d7b21a79c1dfd4a3619571eab1813e4af114b125e86c4eefb1c67481">value</a> = false
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+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_fvar&lt; T &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2is__fvar_8hpp_source.html#l00007">7</a> of file <a class="el" href="prim_2scal_2meta_2is__fvar_8hpp_source.html">is_fvar.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="aee7f99a61d7b21a79c1dfd4a3619571e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
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+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
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+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="aee7f99a61d7b21a79c1dfd4a3619571eab1813e4af114b125e86c4eefb1c67481"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2is__fvar_8hpp_source.html#l00008">8</a> of file <a class="el" href="prim_2scal_2meta_2is__fvar_8hpp_source.html">is_fvar.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="prim_2scal_2meta_2is__fvar_8hpp_source.html">is_fvar.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__fvar_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">is_fvar&lt; stan::math::fvar&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::is_fvar&lt; stan::math::fvar&lt; T &gt; &gt; Member List</div>  </div>
+</div><!--header-->
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+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__fvar_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">stan::is_fvar&lt; stan::math::fvar&lt; T &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1is__fvar_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a6babc0753f5871c298d85413e6e110d6a770958271842bd91202a4b530eca5aeb">value</a> enum value</td><td class="entry"><a class="el" href="structstan_1_1is__fvar_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">stan::is_fvar&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1is__fvar_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html b/doc/api/html/structstan_1_1is__fvar_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html
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+<script type="text/javascript" src="jquery.js"></script>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<!-- iframe showing the search results (closed by default) -->
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__fvar_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">is_fvar&lt; stan::math::fvar&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__fvar_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_fvar&lt; stan::math::fvar&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html">is_fvar.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a6babc0753f5871c298d85413e6e110d6"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__fvar_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a6babc0753f5871c298d85413e6e110d6a770958271842bd91202a4b530eca5aeb">value</a> = true
+ }<tr class="separator:a6babc0753f5871c298d85413e6e110d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_fvar&lt; stan::math::fvar&lt; T &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html#l00010">10</a> of file <a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html">is_fvar.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a6babc0753f5871c298d85413e6e110d6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a6babc0753f5871c298d85413e6e110d6a770958271842bd91202a4b530eca5aeb"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html#l00011">11</a> of file <a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html">is_fvar.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/fwd/scal/meta/<a class="el" href="fwd_2scal_2meta_2is__fvar_8hpp_source.html">is_fvar.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__var-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_var&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="prim_2scal_2meta_2is__var_8hpp_source.html">is_var.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:aac384e0e2c72c68ae03dd7f10ca8a192"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__var.html#aac384e0e2c72c68ae03dd7f10ca8a192aaeb0f9a9eead1ac6cc943d6a1974a4c1">value</a> = false
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_var&lt; T &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2is__var_8hpp_source.html#l00007">7</a> of file <a class="el" href="prim_2scal_2meta_2is__var_8hpp_source.html">is_var.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="aac384e0e2c72c68ae03dd7f10ca8a192"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
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+          <td class="memname">anonymous enum</td>
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+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="aac384e0e2c72c68ae03dd7f10ca8a192aaeb0f9a9eead1ac6cc943d6a1974a4c1"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2is__var_8hpp_source.html#l00008">8</a> of file <a class="el" href="prim_2scal_2meta_2is__var_8hpp_source.html">is_var.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="prim_2scal_2meta_2is__var_8hpp_source.html">is_var.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__var_3_01stan_1_1math_1_1var_01_4.html">stan::is_var&lt; stan::math::var &gt;</a>, including all inherited members.</p>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<!-- iframe showing the search results (closed by default) -->
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__var_3_01stan_1_1math_1_1var_01_4.html">is_var&lt; stan::math::var &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__var_3_01stan_1_1math_1_1var_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_var&lt; stan::math::var &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">is_var.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:ae4a2b202d3d778d3cbd3b21175de8f6c"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__var_3_01stan_1_1math_1_1var_01_4.html#ae4a2b202d3d778d3cbd3b21175de8f6ca0f5ca9489de04d1d3d2f6ccf5783f360">value</a> = true
+ }<tr class="separator:ae4a2b202d3d778d3cbd3b21175de8f6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;&gt;<br />
+struct stan::is_var&lt; stan::math::var &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html#l00010">10</a> of file <a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">is_var.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="ae4a2b202d3d778d3cbd3b21175de8f6c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="ae4a2b202d3d778d3cbd3b21175de8f6ca0f5ca9489de04d1d3d2f6ccf5783f360"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html#l00011">11</a> of file <a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">is_var.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/scal/meta/<a class="el" href="rev_2scal_2meta_2is__var_8hpp_source.html">is_var.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div><!--header-->
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+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__var__or__arithmetic.html">stan::is_var_or_arithmetic&lt; T1, T2, T3, T4, T5, T6 &gt;</a>, including all inherited members.</p>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__var__or__arithmetic-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_var_or_arithmetic&lt; T1, T2, T3, T4, T5, T6 &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="is__var__or__arithmetic_8hpp_source.html">is_var_or_arithmetic.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:ae2274b1dfaae357a2ede5a73ceff221c"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__var__or__arithmetic.html#ae2274b1dfaae357a2ede5a73ceff221ca4e3e0e0100aa814492acbd85e2138643">value</a>
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+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double&gt;<br />
+struct stan::is_var_or_arithmetic&lt; T1, T2, T3, T4, T5, T6 &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="is__var__or__arithmetic_8hpp_source.html#l00016">16</a> of file <a class="el" href="is__var__or__arithmetic_8hpp_source.html">is_var_or_arithmetic.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="ae2274b1dfaae357a2ede5a73ceff221c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2  = double, typename T3  = double, typename T4  = double, typename T5  = double, typename T6  = double&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="ae2274b1dfaae357a2ede5a73ceff221ca4e3e0e0100aa814492acbd85e2138643"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="is__var__or__arithmetic_8hpp_source.html#l00017">17</a> of file <a class="el" href="is__var__or__arithmetic_8hpp_source.html">is_var_or_arithmetic.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="is__var__or__arithmetic_8hpp_source.html">is_var_or_arithmetic.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+      <li class="current"><a href="annotated.html"><span>Classes</span></a></li>
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+          <img id="MSearchSelect" src="search/mag_sel.png"
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
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+  <i>&copy; 2011&ndash;2016,
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+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__vector-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_vector&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
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+<p><code>#include &lt;<a class="el" href="scal_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>&gt;</code></p>
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+<tr class="memitem:a73e9760bc4a6b89670604606218d98af"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__vector.html#a73e9760bc4a6b89670604606218d98afa9b19e1572754024bf83375a19efee164">value</a> = 0
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_vector&lt; T &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="scal_2meta_2is__vector_8hpp_source.html#l00010">10</a> of file <a class="el" href="scal_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
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+template&lt;typename T&gt; </div>
+      <table class="memname">
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+          <td class="memname">typedef T <a class="el" href="structstan_1_1is__vector.html">stan::is_vector</a>&lt; T &gt;::<a class="el" href="structstan_1_1is__vector.html#a5384dc7751d6efdfd7b7bd9ccc442ca2">type</a></td>
+        </tr>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="scal_2meta_2is__vector_8hpp_source.html#l00012">12</a> of file <a class="el" href="scal_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
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+<h2 class="groupheader">Member Enumeration Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
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+template&lt;typename T&gt; </div>
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+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
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+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a73e9760bc4a6b89670604606218d98afa9b19e1572754024bf83375a19efee164"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="scal_2meta_2is__vector_8hpp_source.html#l00011">11</a> of file <a class="el" href="scal_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
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+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
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+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
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+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+</div>
+
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html">is_vector&lt; Eigen::Block&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__vector_3_01_eigen_1_1_block_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_vector&lt; Eigen::Block&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:abea94932b60933bf19ccf6df1a06e2d2"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html#abea94932b60933bf19ccf6df1a06e2d2a565f949d7780375faf2d63474a18771c">value</a> = 1
+ }<tr class="separator:abea94932b60933bf19ccf6df1a06e2d2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+<tr class="memitem:a7e97f9578f2d4c2ffe59e6f6a92012a8"><td class="memItemLeft" align="right" valign="top">typedef T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html#a7e97f9578f2d4c2ffe59e6f6a92012a8">type</a></td></tr>
+<tr class="separator:a7e97f9578f2d4c2ffe59e6f6a92012a8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_vector&lt; Eigen::Block&lt; T &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__vector_8hpp_source.html#l00023">23</a> of file <a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a7e97f9578f2d4c2ffe59e6f6a92012a8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
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+          <td class="memname">typedef T <a class="el" href="structstan_1_1is__vector.html">stan::is_vector</a>&lt; Eigen::Block&lt; T &gt; &gt;::<a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_block_3_01_t_01_4_01_4.html#a7e97f9578f2d4c2ffe59e6f6a92012a8">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__vector_8hpp_source.html#l00025">25</a> of file <a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="abea94932b60933bf19ccf6df1a06e2d2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="abea94932b60933bf19ccf6df1a06e2d2a565f949d7780375faf2d63474a18771c"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__vector_8hpp_source.html#l00024">24</a> of file <a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">is_vector&lt; Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &gt;</a></li>  </ul>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::is_vector&lt; Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a07a4e818504882fb191b9d3a5ba6677a">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::is_vector&lt; Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a26c8c77363bfb3cbd1bd79aad3bdd815a060ce69961a2ceb1cc29cc4861aa527e">value</a> enum value</td><td class="entry"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::is_vector&lt; Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html b/doc/api/html/structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html
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+<script type="text/javascript" src="jquery.js"></script>
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">is_vector&lt; Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_vector&lt; Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a26c8c77363bfb3cbd1bd79aad3bdd815"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a26c8c77363bfb3cbd1bd79aad3bdd815a060ce69961a2ceb1cc29cc4861aa527e">value</a> = 1
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+<tr class="separator:a07a4e818504882fb191b9d3a5ba6677a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_vector&lt; Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__vector_8hpp_source.html#l00018">18</a> of file <a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a07a4e818504882fb191b9d3a5ba6677a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
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+      <table class="memname">
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+        </tr>
+      </table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="mat_2meta_2is__vector_8hpp_source.html#l00020">20</a> of file <a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Enumeration Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a26c8c77363bfb3cbd1bd79aad3bdd815a060ce69961a2ceb1cc29cc4861aa527e"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__vector_8hpp_source.html#l00019">19</a> of file <a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
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+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
+<script type="text/javascript" src="dynsections.js"></script>
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+<script type="text/javascript" src="search/search.js"></script>
+<script type="text/javascript">
+  $(document).ready(function() { init_search(); });
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">stan::is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#ab0c2ebfaeaf2d18b25665573a01dab1e">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">stan::is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#af8e2760e09feb5d51a93395a6373d479a75a67f94582ddd21b4956e5540578114">value</a> enum value</td><td class="entry"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">stan::is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html b/doc/api/html/structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html
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+<script type="text/javascript" src="jquery.js"></script>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+</table>
+</div>
+<!-- end header part -->
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+<script type="text/javascript">
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+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:af8e2760e09feb5d51a93395a6373d479"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#af8e2760e09feb5d51a93395a6373d479a75a67f94582ddd21b4956e5540578114">value</a> = 1
+ }<tr class="separator:af8e2760e09feb5d51a93395a6373d479"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+<tr class="memitem:ab0c2ebfaeaf2d18b25665573a01dab1e"><td class="memItemLeft" align="right" valign="top">typedef T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#ab0c2ebfaeaf2d18b25665573a01dab1e">type</a></td></tr>
+<tr class="separator:ab0c2ebfaeaf2d18b25665573a01dab1e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_vector&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__vector_8hpp_source.html#l00013">13</a> of file <a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="ab0c2ebfaeaf2d18b25665573a01dab1e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef T <a class="el" href="structstan_1_1is__vector.html">stan::is_vector</a>&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &gt;::<a class="el" href="structstan_1_1is__vector_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#ab0c2ebfaeaf2d18b25665573a01dab1e">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__vector_8hpp_source.html#l00015">15</a> of file <a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="af8e2760e09feb5d51a93395a6373d479"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="af8e2760e09feb5d51a93395a6373d479a75a67f94582ddd21b4956e5540578114"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__vector_8hpp_source.html#l00014">14</a> of file <a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+</div>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__vector_3_01const_01_t_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_vector&lt; const T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="arr_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a83095fb62b22d675493cfba48046c588"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__vector_3_01const_01_t_01_4.html#a83095fb62b22d675493cfba48046c588ab7b181e7406ecc9d9512f53eeb423835">value</a> = is_vector&lt;T&gt;::value
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+</td></tr>
+<tr class="memitem:a438013ddac03fc30456a132b069b6db7"><td class="memItemLeft" align="right" valign="top">typedef T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1is__vector_3_01const_01_t_01_4.html#a438013ddac03fc30456a132b069b6db7">type</a></td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_vector&lt; const T &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="arr_2meta_2is__vector_8hpp_source.html#l00013">13</a> of file <a class="el" href="arr_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a438013ddac03fc30456a132b069b6db7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
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+          <td class="memname">typedef T <a class="el" href="structstan_1_1is__vector.html">stan::is_vector</a>&lt; const T &gt;::<a class="el" href="structstan_1_1is__vector_3_01const_01_t_01_4.html#a438013ddac03fc30456a132b069b6db7">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="arr_2meta_2is__vector_8hpp_source.html#l00015">15</a> of file <a class="el" href="arr_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a83095fb62b22d675493cfba48046c588"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
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+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a83095fb62b22d675493cfba48046c588ab7b181e7406ecc9d9512f53eeb423835"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="arr_2meta_2is__vector_8hpp_source.html#l00014">14</a> of file <a class="el" href="arr_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/arr/meta/<a class="el" href="arr_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
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+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
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+      <li><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
+     onkeydown="return searchBox.OnSearchSelectKey(event)">
+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector_3_01std_1_1vector_3_01_t_01_4_01_4.html">is_vector&lt; std::vector&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__vector_3_01std_1_1vector_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_vector&lt; std::vector&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="arr_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:acd33d907cfa48ea1e20b84c85a10ea9b"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__vector_3_01std_1_1vector_3_01_t_01_4_01_4.html#acd33d907cfa48ea1e20b84c85a10ea9ba8669507d2c0cf8d2013fa55cbc040690">value</a> = 1
+ }<tr class="separator:acd33d907cfa48ea1e20b84c85a10ea9b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+<tr class="memitem:aefecb429647f6ad44faa02cb233050da"><td class="memItemLeft" align="right" valign="top">typedef T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1is__vector_3_01std_1_1vector_3_01_t_01_4_01_4.html#aefecb429647f6ad44faa02cb233050da">type</a></td></tr>
+<tr class="separator:aefecb429647f6ad44faa02cb233050da"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_vector&lt; std::vector&lt; T &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="arr_2meta_2is__vector_8hpp_source.html#l00018">18</a> of file <a class="el" href="arr_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="aefecb429647f6ad44faa02cb233050da"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef T <a class="el" href="structstan_1_1is__vector.html">stan::is_vector</a>&lt; std::vector&lt; T &gt; &gt;::<a class="el" href="structstan_1_1is__vector_3_01std_1_1vector_3_01_t_01_4_01_4.html#aefecb429647f6ad44faa02cb233050da">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="arr_2meta_2is__vector_8hpp_source.html#l00020">20</a> of file <a class="el" href="arr_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="acd33d907cfa48ea1e20b84c85a10ea9b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="acd33d907cfa48ea1e20b84c85a10ea9ba8669507d2c0cf8d2013fa55cbc040690"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="arr_2meta_2is__vector_8hpp_source.html#l00019">19</a> of file <a class="el" href="arr_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/arr/meta/<a class="el" href="arr_2meta_2is__vector_8hpp_source.html">is_vector.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div>
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+  <div class="headertitle">
+<div class="title">stan::is_vector_like&lt; T &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__vector__like.html">stan::is_vector_like&lt; T &gt;</a>, including all inherited members.</p>
+<table class="directory">
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<link href="doxygen.css" rel="stylesheet" type="text/css" />
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+<body>
+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+ </tbody>
+</table>
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+<!-- end header part -->
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+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector__like.html">is_vector_like</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__vector__like-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_vector_like&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram indicates whether a type is vector_like.  
+ <a href="structstan_1_1is__vector__like.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
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+<tr class="memitem:a7c347bcea8f5aa2e059c878a774e939e"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__vector__like.html#a7c347bcea8f5aa2e059c878a774e939ea2113100a63bb957b1ada362a39a22213">value</a> = stan::is_vector&lt;T&gt;::value
+ }<tr class="separator:a7c347bcea8f5aa2e059c878a774e939e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_vector_like&lt; T &gt;</h3>
+
+<p>Template metaprogram indicates whether a type is vector_like. </p>
+<p>A type is vector_like if an instance can be accessed like a vector, i.e. square brackets.</p>
+<p>Access <a class="el" href="structstan_1_1is__vector__like.html#a7c347bcea8f5aa2e059c878a774e939ea2113100a63bb957b1ada362a39a22213">is_vector_like::value</a> for the result.</p>
+<p>Default behavior is to use the <a class="el" href="structstan_1_1is__vector.html">is_vector</a> template metaprogram.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type to test </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html#l00021">21</a> of file <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a7c347bcea8f5aa2e059c878a774e939e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a7c347bcea8f5aa2e059c878a774e939ea2113100a63bb957b1ada362a39a22213"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html#l00022">22</a> of file <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::is_vector_like&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::is_vector_like&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a3850e987651782233f7acfd2c360e5cdacc3bb708be577474e9cd1e11ad5a4ba1">value</a> enum value</td><td class="entry"><a class="el" href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::is_vector_like&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+</div>
diff --git a/doc/api/html/structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html b/doc/api/html/structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html">is_vector_like&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_vector_like&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram indicates whether a type is vector_like.  
+ <a href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a3850e987651782233f7acfd2c360e5cd"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__vector__like_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a3850e987651782233f7acfd2c360e5cdacc3bb708be577474e9cd1e11ad5a4ba1">value</a> = true
+ }<tr class="separator:a3850e987651782233f7acfd2c360e5cd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_vector_like&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</h3>
+
+<p>Template metaprogram indicates whether a type is vector_like. </p>
+<p>A type is vector_like if an instance can be accessed like a vector, i.e. square brackets.</p>
+<p>Access <a class="el" href="structstan_1_1is__vector__like.html#a7c347bcea8f5aa2e059c878a774e939ea2113100a63bb957b1ada362a39a22213">is_vector_like::value</a> for the result.</p>
+<p>This metaprogram removes the const qualifier.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type to test </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__vector__like_8hpp_source.html#l00022">22</a> of file <a class="el" href="mat_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a3850e987651782233f7acfd2c360e5cd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a3850e987651782233f7acfd2c360e5cdacc3bb708be577474e9cd1e11ad5a4ba1"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="mat_2meta_2is__vector__like_8hpp_source.html#l00023">23</a> of file <a class="el" href="mat_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1is__vector__like_3_01_t_01_5_01_4-members.html b/doc/api/html/structstan_1_1is__vector__like_3_01_t_01_5_01_4-members.html
new file mode 100644
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html">is_vector_like&lt; T * &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::is_vector_like&lt; T * &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html">stan::is_vector_like&lt; T * &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html#ac9241b4f77efad2fc0dd173a4ec0f367a50f6d9fb5990e3e623e6e02458926009">value</a> enum value</td><td class="entry"><a class="el" href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html">stan::is_vector_like&lt; T * &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1is__vector__like_3_01_t_01_5_01_4.html b/doc/api/html/structstan_1_1is__vector__like_3_01_t_01_5_01_4.html
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+<!-- end header part -->
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+        name="MSearchResults" id="MSearchResults">
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+
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html">is_vector_like&lt; T * &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__vector__like_3_01_t_01_5_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_vector_like&lt; T * &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram indicates whether a type is vector_like.  
+ <a href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:ac9241b4f77efad2fc0dd173a4ec0f367"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__vector__like_3_01_t_01_5_01_4.html#ac9241b4f77efad2fc0dd173a4ec0f367a50f6d9fb5990e3e623e6e02458926009">value</a> = true
+ }<tr class="separator:ac9241b4f77efad2fc0dd173a4ec0f367"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_vector_like&lt; T * &gt;</h3>
+
+<p>Template metaprogram indicates whether a type is vector_like. </p>
+<p>A type is vector_like if an instance can be accessed like a vector, i.e. square brackets.</p>
+<p>A C++ array of T is vector_like.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type to test </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html#l00036">36</a> of file <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="ac9241b4f77efad2fc0dd173a4ec0f367"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="ac9241b4f77efad2fc0dd173a4ec0f367a50f6d9fb5990e3e623e6e02458926009"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html#l00037">37</a> of file <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+ </tr>
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+<div id="MSearchSelectWindow"
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector__like_3_01const_01_t_01_4.html">is_vector_like&lt; const T &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::is_vector_like&lt; const T &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1is__vector__like_3_01const_01_t_01_4.html">stan::is_vector_like&lt; const T &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1is__vector__like_3_01const_01_t_01_4.html#accc6af134d2e9eab199da085ad3e87e3ab859ca004282bbe79a5eeda7238d86da">value</a> enum value</td><td class="entry"><a class="el" href="structstan_1_1is__vector__like_3_01const_01_t_01_4.html">stan::is_vector_like&lt; const T &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1is__vector__like_3_01const_01_t_01_4.html b/doc/api/html/structstan_1_1is__vector__like_3_01const_01_t_01_4.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+  <div id="navrow1" class="tabs">
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+          <img id="MSearchSelect" src="search/mag_sel.png"
+               onmouseover="return searchBox.OnSearchSelectShow()"
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+  <div id="navrow2" class="tabs2">
+    <ul class="tablist">
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+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1is__vector__like_3_01const_01_t_01_4.html">is_vector_like&lt; const T &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1is__vector__like_3_01const_01_t_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::is_vector_like&lt; const T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram indicates whether a type is vector_like.  
+ <a href="structstan_1_1is__vector__like_3_01const_01_t_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:accc6af134d2e9eab199da085ad3e87e3"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1is__vector__like_3_01const_01_t_01_4.html#accc6af134d2e9eab199da085ad3e87e3ab859ca004282bbe79a5eeda7238d86da">value</a> = stan::is_vector_like&lt;T&gt;::value
+ }<tr class="separator:accc6af134d2e9eab199da085ad3e87e3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::is_vector_like&lt; const T &gt;</h3>
+
+<p>Template metaprogram indicates whether a type is vector_like. </p>
+<p>A type is vector_like if an instance can be accessed like a vector, i.e. square brackets.</p>
+<p>Access <a class="el" href="structstan_1_1is__vector__like.html#a7c347bcea8f5aa2e059c878a774e939ea2113100a63bb957b1ada362a39a22213">is_vector_like::value</a> for the result.</p>
+<p>This metaprogram removes the const qualifier.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type to test </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html#l00054">54</a> of file <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="accc6af134d2e9eab199da085ad3e87e3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="accc6af134d2e9eab199da085ad3e87e3ab859ca004282bbe79a5eeda7238d86da"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html#l00055">55</a> of file <a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2is__vector__like_8hpp_source.html">is_vector_like.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt; Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</a>, including all inherited members.</p>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html">AutodiffStackStorage</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-attribs">Static Public Attributes</a> &#124;
+<a href="structstan_1_1math_1_1_autodiff_stack_storage-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt; Struct Template Reference</div>  </div>
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+<div class="contents">
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+<p><code>#include &lt;<a class="el" href="autodiffstackstorage_8hpp_source.html">autodiffstackstorage.hpp</a>&gt;</code></p>
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+<tr class="memitem:aaa52587fef6c965ff959745bedaab58b"><td class="memItemLeft" align="right" valign="top">static std::vector&lt; size_t &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#aaa52587fef6c965ff959745bedaab58b">nested_var_stack_sizes_</a></td></tr>
+<tr class="separator:aaa52587fef6c965ff959745bedaab58b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a15080f06483a3215ce0513e0274db5f5"><td class="memItemLeft" align="right" valign="top">static std::vector&lt; size_t &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a15080f06483a3215ce0513e0274db5f5">nested_var_nochain_stack_sizes_</a></td></tr>
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+<tr class="memitem:a86825610c9b89e0635a1efe420fb502c"><td class="memItemLeft" align="right" valign="top">static std::vector&lt; size_t &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html#a86825610c9b89e0635a1efe420fb502c">nested_var_alloc_stack_starts_</a></td></tr>
+<tr class="separator:a86825610c9b89e0635a1efe420fb502c"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename ChainableT, typename ChainableAllocT&gt;<br />
+struct stan::math::AutodiffStackStorage&lt; ChainableT, ChainableAllocT &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="autodiffstackstorage_8hpp_source.html#l00012">12</a> of file <a class="el" href="autodiffstackstorage_8hpp_source.html">autodiffstackstorage.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="autodiffstackstorage_8hpp_source.html#l00016">16</a> of file <a class="el" href="autodiffstackstorage_8hpp_source.html">autodiffstackstorage.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="autodiffstackstorage_8hpp_source.html#l00020">20</a> of file <a class="el" href="autodiffstackstorage_8hpp_source.html">autodiffstackstorage.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="autodiffstackstorage_8hpp_source.html#l00019">19</a> of file <a class="el" href="autodiffstackstorage_8hpp_source.html">autodiffstackstorage.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a4e95a60d3e2d215f4f8020e6ce2f03d8"></a>
+<div class="memitem">
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+template&lt;typename ChainableT , typename ChainableAllocT &gt; </div>
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+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt; ChainableAllocT * &gt; <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html">stan::math::AutodiffStackStorage</a>&lt; ChainableT, ChainableAllocT &gt;::var_alloc_stack_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="autodiffstackstorage_8hpp_source.html#l00015">15</a> of file <a class="el" href="autodiffstackstorage_8hpp_source.html">autodiffstackstorage.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac281684e398a6a4cedcf7c4e75eeb2f1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename ChainableT , typename ChainableAllocT &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt; ChainableT * &gt; <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html">stan::math::AutodiffStackStorage</a>&lt; ChainableT, ChainableAllocT &gt;::var_nochain_stack_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="autodiffstackstorage_8hpp_source.html#l00014">14</a> of file <a class="el" href="autodiffstackstorage_8hpp_source.html">autodiffstackstorage.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3ee9208d01fab7f0d6b3d3fd6f186435"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename ChainableT , typename ChainableAllocT &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt; ChainableT * &gt; <a class="el" href="structstan_1_1math_1_1_autodiff_stack_storage.html">stan::math::AutodiffStackStorage</a>&lt; ChainableT, ChainableAllocT &gt;::var_stack_</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="autodiffstackstorage_8hpp_source.html#l00013">13</a> of file <a class="el" href="autodiffstackstorage_8hpp_source.html">autodiffstackstorage.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="autodiffstackstorage_8hpp_source.html">autodiffstackstorage.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-attribs">Public Attributes</a> &#124;
+<a href="structstan_1_1math_1_1_operands_and_partials-members.html">List of all members</a>  </div>
+  <div class="headertitle">
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+<div class="contents">
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+<p>This class builds partial derivatives with respect to a set of operands.  
+ <a href="structstan_1_1math_1_1_operands_and_partials.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>&gt;</code></p>
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+<tr class="separator:a2b77950cdace13d5020ab4f152d6225b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="separator:a2510456783a14b95a31875b3d2290fac"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad40923a1e408b5b54f5652e3309d0912"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classstan_1_1_vector_view.html">VectorView</a>&lt; T_return_type, false, true &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials.html#ad40923a1e408b5b54f5652e3309d0912">d_x6</a></td></tr>
+<tr class="separator:ad40923a1e408b5b54f5652e3309d0912"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1 = double, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T_return_type = typename stan::return_type&lt;T1, T2, T3, T4, T5, T6&gt;::type&gt;<br />
+struct stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;</h3>
+
+<p>This class builds partial derivatives with respect to a set of operands. </p>
+<p>There are two reason for the generality of this class. The first is to handle vector and scalar arguments without needing to write additional code. The second is to use this class for writing probability distributions that handle primitives, reverse mode, and forward mode variables seamlessly.</p>
+<p>The default template class handles the case where the arguments are primitive. There are template specializations for reverse mode and forward mode.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>First set of operands. </td></tr>
+    <tr><td class="paramname">T2</td><td>Second set of operands. </td></tr>
+    <tr><td class="paramname">T3</td><td>Third set of operands. </td></tr>
+    <tr><td class="paramname">T4</td><td>Fourth set of operands. </td></tr>
+    <tr><td class="paramname">T5</td><td>Fifth set of operands. </td></tr>
+    <tr><td class="paramname">T6</td><td>Sixth set of operands. </td></tr>
+    <tr><td class="paramname">T_return_type</td><td>Return type of the expression. This defaults to a template metaprogram that calculates the scalar promotion of T1 &ndash; T6. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">38</a> of file <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="adf6b7d0ec54cb420870fa5fa2ff3907d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 = double, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T_return_type = typename stan::return_type&lt;T1, T2, T3, T4, T5, T6&gt;::type&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a>&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;::<a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials</a> </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T4 &amp;&#160;</td>
+          <td class="paramname"><em>x4</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T5 &amp;&#160;</td>
+          <td class="paramname"><em>x5</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T6 &amp;&#160;</td>
+          <td class="paramname"><em>x6</em> = <code>0</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Constructor. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x1</td><td>first set of operands </td></tr>
+    <tr><td class="paramname">x2</td><td>second set of operands </td></tr>
+    <tr><td class="paramname">x3</td><td>third set of operands </td></tr>
+    <tr><td class="paramname">x4</td><td>fourth set of operands </td></tr>
+    <tr><td class="paramname">x5</td><td>fifth set of operands </td></tr>
+    <tr><td class="paramname">x6</td><td>sixth set of operands </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00056">56</a> of file <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a2b77950cdace13d5020ab4f152d6225b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 = double, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T_return_type = typename stan::return_type&lt;T1, T2, T3, T4, T5, T6&gt;::type&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T_return_type <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a>&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;::value </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>value</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns a T_return_type with the value specified with the partial derivatves. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value of the variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>a variable with the appropriate value </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">68</a> of file <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="aed4e9c359152c1b774cf17b95e6878d1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 = double, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T_return_type = typename stan::return_type&lt;T1, T2, T3, T4, T5, T6&gt;::type&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html">VectorView</a>&lt;T_return_type, false, true&gt; <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a>&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;::d_x1</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">39</a> of file <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
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+template&lt;typename T1 = double, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T_return_type = typename stan::return_type&lt;T1, T2, T3, T4, T5, T6&gt;::type&gt; </div>
+      <table class="memname">
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+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html">VectorView</a>&lt;T_return_type, false, true&gt; <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a>&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;::d_x2</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">40</a> of file <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
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+        </tr>
+      </table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00042">42</a> of file <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
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+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html">VectorView</a>&lt;T_return_type, false, true&gt; <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a>&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;::d_x5</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00043">43</a> of file <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad40923a1e408b5b54f5652e3309d0912"></a>
+<div class="memitem">
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+template&lt;typename T1 = double, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T_return_type = typename stan::return_type&lt;T1, T2, T3, T4, T5, T6&gt;::type&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1_vector_view.html">VectorView</a>&lt;T_return_type, false, true&gt; <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a>&lt; T1, T2, T3, T4, T5, T6, T_return_type &gt;::d_x6</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00044">44</a> of file <a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
+      <li><a href="classes.html"><span>Class&#160;Index</span></a></li>
+      <li><a href="hierarchy.html"><span>Class&#160;Hierarchy</span></a></li>
+      <li><a href="functions.html"><span>Class&#160;Members</span></a></li>
+    </ul>
+  </div>
+<!-- window showing the filter options -->
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+     onmouseover="return searchBox.OnSearchSelectShow()"
+     onmouseout="return searchBox.OnSearchSelectHide()"
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-attribs">Public Attributes</a> &#124;
+<a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_tca784ab8aab99bfebf572ac7b8367ed7.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, typename stan::math::fvar&lt; T_partials_return &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This class builds partial derivatives with respect to a set of operands.  
+ <a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a11df2759b74191311e15902d40236668"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T_partials_return &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a11df2759b74191311e15902d40236668">T_return_type</a></td></tr>
+<tr class="separator:a11df2759b74191311e15902d40236668"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ae71d14e91cd63326881e433fc17ff0b2"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae71d14e91cd63326881e433fc17ff0b2">OperandsAndPartials</a> (const T1 &amp;x1=0, const T2 &amp;x2=0, const T3 &amp;x3=0, const T4 &amp;x4=0, const T5 &amp;x5=0, const T6 &amp;x6=0)</td></tr>
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+<tr class="memitem:aeb8fad2b3e145dcd7538141e3090990e"><td class="memItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a11df2759b74191311e15902d40236668">T_return_type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aeb8fad2b3e145dcd7538141e3090990e">value</a> (T_partials_return value)</td></tr>
+<tr class="separator:aeb8fad2b3e145dcd7538141e3090990e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a381ae87f6867b7cf252f48f47b61936c"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a381ae87f6867b7cf252f48f47b61936c">~OperandsAndPartials</a> ()</td></tr>
+<tr class="separator:a381ae87f6867b7cf252f48f47b61936c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:a49eb3bb3640c570e10687030f1e3405f"><td class="memItemLeft" align="right" valign="top">const T1 &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a49eb3bb3640c570e10687030f1e3405f">x1_</a></td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2, typename T3, typename T4, typename T5, typename T6, typename T_partials_return&gt;<br />
+struct stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</h3>
+
+<p>This class builds partial derivatives with respect to a set of operands. </p>
+<p>There are two reason for the generality of this class. The first is to handle vector and scalar arguments without needing to write additional code. The second is to use this class for writing probability distributions that handle primitives, reverse mode, and forward mode variables seamlessly.</p>
+<p>This is the partial template specialization for when the return type is stan::math::fvar&lt;T&gt;.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>First set of operands. </td></tr>
+    <tr><td class="paramname">T2</td><td>Second set of operands. </td></tr>
+    <tr><td class="paramname">T3</td><td>Third set of operands. </td></tr>
+    <tr><td class="paramname">T4</td><td>Fourth set of operands. </td></tr>
+    <tr><td class="paramname">T5</td><td>Fifth set of operands. </td></tr>
+    <tr><td class="paramname">T6</td><td>Sixth set of operands. </td></tr>
+    <tr><td class="paramname">T_return_type</td><td>Return type of the expression. This defaults to a template metaprogram that calculates the scalar promotion of T1 &ndash; T6. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00104">104</a> of file <a class="el" href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a11df2759b74191311e15902d40236668"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 , typename T4 , typename T5 , typename T6 , typename T_partials_return &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt;T_partials_return&gt; <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a>&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T_partials_return &gt; &gt;::<a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a11df2759b74191311e15902d40236668">T_return_type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00106">106</a> of file <a class="el" href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ae71d14e91cd63326881e433fc17ff0b2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 , typename T4 , typename T5 , typename T6 , typename T_partials_return &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a>&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T_partials_return &gt; &gt;::<a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials</a> </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
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+<p>Definition at line <a class="el" href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00113">113</a> of file <a class="el" href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/fwd/scal/meta/<a class="el" href="fwd_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <i>&copy; 2011&ndash;2016,
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+<title>Stan Math Library: stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt; Struct Template Reference</title>
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html">OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-attribs">Public Attributes</a> &#124;
+<a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t841c0b0c581f52f6b8f93e4e3a87f348.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This class builds partial derivatives with respect to a set of operands.  
+ <a href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a560eb18fec2ac9cf470108ba4090f190"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t6_00_01stan_1_1math_1_1var_01_4.html#a560eb18fec2ac9cf470108ba4090f190">OperandsAndPartials</a> (const T1 &amp;x1=0, const T2 &amp;x2=0, const T3 &amp;x3=0, const T4 &amp;x4=0, const T5 &amp;x5=0, const T6 &amp;x6=0)</td></tr>
+<tr class="memdesc:a560eb18fec2ac9cf470108ba4090f190"><td class="mdescLeft">&#160;</td><td class="mdescRight">Constructor.  <a href="#a560eb18fec2ac9cf470108ba4090f190">More...</a><br /></td></tr>
+<tr class="separator:a560eb18fec2ac9cf470108ba4090f190"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:a179205c5cd9e947d7d1fe69d4860da47"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns a T_return_type with the value specified with the partial derivatves.  <a href="#a179205c5cd9e947d7d1fe69d4860da47">More...</a><br /></td></tr>
+<tr class="separator:a179205c5cd9e947d7d1fe69d4860da47"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2, typename T3, typename T4, typename T5, typename T6&gt;<br />
+struct stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, stan::math::var &gt;</h3>
+
+<p>This class builds partial derivatives with respect to a set of operands. </p>
+<p>There are two reason for the generality of this class. The first is to handle vector and scalar arguments without needing to write additional code. The second is to use this class for writing probability distributions that handle primitives, reverse mode, and forward mode variables seamlessly.</p>
+<p>This is the partial template specialization for when the return type is <a class="el" href="classstan_1_1math_1_1var.html" title="Independent (input) and dependent (output) variables for gradients. ">stan::math::var</a>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T1</td><td>First set of operands. </td></tr>
+    <tr><td class="paramname">T2</td><td>Second set of operands. </td></tr>
+    <tr><td class="paramname">T3</td><td>Third set of operands. </td></tr>
+    <tr><td class="paramname">T4</td><td>Fourth set of operands. </td></tr>
+    <tr><td class="paramname">T5</td><td>Fifth set of operands. </td></tr>
+    <tr><td class="paramname">T6</td><td>Sixth set of operands. </td></tr>
+    <tr><td class="paramname">T_return_type</td><td>Return type of the expression. This defaults to a template metaprogram that calculates the scalar promotion of T1 &ndash; T6. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00091">91</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a560eb18fec2ac9cf470108ba4090f190"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 , typename T4 , typename T5 , typename T6 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a>&lt; T1, T2, T3, T4, T5, T6, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::<a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials</a> </td>
+          <td>(</td>
+          <td class="paramtype">const T1 &amp;&#160;</td>
+          <td class="paramname"><em>x1</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T2 &amp;&#160;</td>
+          <td class="paramname"><em>x2</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T3 &amp;&#160;</td>
+          <td class="paramname"><em>x3</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T4 &amp;&#160;</td>
+          <td class="paramname"><em>x4</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T5 &amp;&#160;</td>
+          <td class="paramname"><em>x5</em> = <code>0</code>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T6 &amp;&#160;</td>
+          <td class="paramname"><em>x6</em> = <code>0</code>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Constructor. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x1</td><td>first set of operands </td></tr>
+    <tr><td class="paramname">x2</td><td>second set of operands </td></tr>
+    <tr><td class="paramname">x3</td><td>third set of operands </td></tr>
+    <tr><td class="paramname">x4</td><td>fourth set of operands </td></tr>
+    <tr><td class="paramname">x5</td><td>fifth set of operands </td></tr>
+    <tr><td class="paramname">x6</td><td>sixth set of operands </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00125">125</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a179205c5cd9e947d7d1fe69d4860da47"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 , typename T4 , typename T5 , typename T6 &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a>&lt; T1, T2, T3, T4, T5, T6, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::value </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>value</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns a T_return_type with the value specified with the partial derivatves. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">value</td><td>Value of the variable </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>a variable with the appropriate value and the adjoints set for reverse mode autodiff </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00185">185</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="ab66e9568baf1aec67e59fbc61244c63f"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 , typename T4 , typename T5 , typename T6 &gt; </div>
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+        </tr>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00094">94</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00104">104</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00107">107</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
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+        <tr>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00110">110</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
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+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , typename T3 , typename T4 , typename T5 , typename T6 &gt; </div>
+      <table class="memname">
+        <tr>
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+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00113">113</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
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+<div class="memitem">
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+template&lt;typename T1 , typename T2 , typename T3 , typename T4 , typename T5 , typename T6 &gt; </div>
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+          <td class="memname">size_t <a class="el" href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a>&lt; T1, T2, T3, T4, T5, T6, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::nvaris</td>
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+
+<p>Definition at line <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00092">92</a> of file <a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/scal/meta/<a class="el" href="rev_2scal_2meta_2_operands_and_partials_8hpp_source.html">OperandsAndPartials.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6, typename stan::math::fvar&lt; T_partials_return &gt; &gt; Member List</div>  </div>
+</div><!--header-->
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acfa641023c43838d73d1542e5f8fb972">all_partials</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#af3f9c82e9116cc0419b7d9cdac8944cc">d_x1</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ab75d8cd6f71d3c5b378b82d813caf285">d_x2</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae93a9300d6811b879497cf681caeca67">d_x3</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ada24bf5265c454ba822b272cc65a87e8">d_x4</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a6eb9817647f74585a99795941a0ed0bb">d_x5</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a7a93e0cb0633c8410c001aeb5b7756e3">d_x6</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#acd3e29411cbc4f04ff8a02d2d4c4ceb9">n_partials</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ae71d14e91cd63326881e433fc17ff0b2">OperandsAndPartials</a>(const T1 &amp;x1=0, const T2 &amp;x2=0, const T3 &amp;x3=0, const T4 &amp;x4=0, const T5 &amp;x5=0, const T6 &amp;x6=0)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a11df2759b74191311e15902d40236668">T_return_type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aeb8fad2b3e145dcd7538141e3090990e">value</a>(T_partials_return value)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a49eb3bb3640c570e10687030f1e3405f">x1_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a1baff21ab47b8a6ee3db28e355742b60">x2_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a8cd2a75a6de6b8c9d2894eebd232d159">x3_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a0a48704c56f7d988725289dba09b9100">x4_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#aba67588e7b9072563a201a48811a35dd">x5_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#ad71f9b51cf019db8d4a0abd881bf3e87">x6_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html#a381ae87f6867b7cf252f48f47b61936c">~OperandsAndPartials</a>()</td><td class="entry"><a class="el" href="structstan_1_1math_1_1_operands_and_partials_3_01_t1_00_01_t2_00_01_t3_00_01_t4_00_01_t5_00_01_t26e82752e3914da782ee32e686dd30e2.html">stan::math::OperandsAndPartials&lt; T1, T2, T3, T4, T5, T6,                                                                                                                                                                                                                                   typename stan::math::fvar&lt; T_partials_return &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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diff --git a/doc/api/html/structstan_1_1math_1_1apply__scalar__unary-members.html b/doc/api/html/structstan_1_1math_1_1apply__scalar__unary-members.html
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@@ -0,0 +1,117 @@
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+   &#160;<span id="projectnumber">2.10.0</span>
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+<div class="title">stan::math::apply_scalar_unary&lt; F, T &gt; Member List</div>  </div>
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+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary&lt; F, T &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#aaf401939bfd99ba649d517b4e63f3fb1">apply</a>(const T &amp;x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary&lt; F, T &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">return_t</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary&lt; F, T &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a047c1d2e14f8d0e8ada832eae7d89241">scalar_t</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary&lt; F, T &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
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+  <span style="float:left; margin=0 1em 0 1em;">
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">apply_scalar_unary</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1apply__scalar__unary-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::apply_scalar_unary&lt; F, T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Base template class for vectorization of unary scalar functions defined by a template class <code>F</code> to a scalar, standard library vector, or <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> dense matrix expression template.  
+ <a href="structstan_1_1math_1_1apply__scalar__unary.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a047c1d2e14f8d0e8ada832eae7d89241"><td class="memItemLeft" align="right" valign="top">typedef Eigen::internal::traits&lt; T &gt;::Scalar&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a047c1d2e14f8d0e8ada832eae7d89241">scalar_t</a></td></tr>
+<tr class="memdesc:a047c1d2e14f8d0e8ada832eae7d89241"><td class="mdescLeft">&#160;</td><td class="mdescRight">Type of underlying scalar for the matrix type T.  <a href="#a047c1d2e14f8d0e8ada832eae7d89241">More...</a><br /></td></tr>
+<tr class="separator:a047c1d2e14f8d0e8ada832eae7d89241"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4778bff5359467ef3e6156d7556155ff"><td class="memItemLeft" align="right" valign="top">typedef Eigen::Matrix&lt; <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a047c1d2e14f8d0e8ada832eae7d89241">scalar_t</a>, T::RowsAtCompileTime, T::ColsAtCompileTime &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">return_t</a></td></tr>
+<tr class="memdesc:a4778bff5359467ef3e6156d7556155ff"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return type for applying the function elementwise to a matrix expression template of type T.  <a href="#a4778bff5359467ef3e6156d7556155ff">More...</a><br /></td></tr>
+<tr class="separator:a4778bff5359467ef3e6156d7556155ff"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:aaf401939bfd99ba649d517b4e63f3fb1"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">return_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#aaf401939bfd99ba649d517b4e63f3fb1">apply</a> (const T &amp;x)</td></tr>
+<tr class="memdesc:aaf401939bfd99ba649d517b4e63f3fb1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the result of applying the function defined by the template parameter F to the specified matrix argument.  <a href="#aaf401939bfd99ba649d517b4e63f3fb1">More...</a><br /></td></tr>
+<tr class="separator:aaf401939bfd99ba649d517b4e63f3fb1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F, typename T&gt;<br />
+struct stan::math::apply_scalar_unary&lt; F, T &gt;</h3>
+
+<p>Base template class for vectorization of unary scalar functions defined by a template class <code>F</code> to a scalar, standard library vector, or <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> dense matrix expression template. </p>
+<p>The base class applies to any <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> dense matrix expression template. Specializations define applications to scalars (primitive or autodiff in the corresponding autodiff library directories) or to standard library vectors of vectorizable types (primitives, <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> dense matrix expressions, or further standard vectors).</p>
+<p>Each specialization must define the typedef <code>return_t</code> for the vectorized return type and the function <code>apply</code> which defines the vectorization or base application of the function defined statically by the class F. The function definition class F defines a static function <code>fun()</code>, which defines the function's behavior on scalars.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function to apply. </td></tr>
+    <tr><td class="paramname">T</td><td>Type of argument to which function is applied. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00036">36</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a4778bff5359467ef3e6156d7556155ff"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;<a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a047c1d2e14f8d0e8ada832eae7d89241">scalar_t</a>, T::RowsAtCompileTime, T::ColsAtCompileTime&gt; <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, T &gt;::<a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">return_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return type for applying the function elementwise to a matrix expression template of type T. </p>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00048">48</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a047c1d2e14f8d0e8ada832eae7d89241"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::internal::traits&lt;T&gt;::Scalar <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, T &gt;::<a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a047c1d2e14f8d0e8ada832eae7d89241">scalar_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Type of underlying scalar for the matrix type T. </p>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00040">40</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="aaf401939bfd99ba649d517b4e63f3fb1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html#a4778bff5359467ef3e6156d7556155ff">return_t</a> <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, T &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the result of applying the function defined by the template parameter F to the specified matrix argument. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Matrix to which operation is applied. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Componentwise application of the function specified by F to the specified matrix. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00058">58</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/vectorize/<a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4-members.html b/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4-members.html
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+</div>
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+<div class="title">stan::math::apply_scalar_unary&lt; F, double &gt; Member List</div>  </div>
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+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html">stan::math::apply_scalar_unary&lt; F, double &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a38488eadfcfeb1a9286fb87600519df1">apply</a>(double x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html">stan::math::apply_scalar_unary&lt; F, double &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a43606ccbf343a056c5f7c0c4779e80ab">return_t</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html">stan::math::apply_scalar_unary&lt; F, double &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html b/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html">apply_scalar_unary&lt; F, double &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::apply_scalar_unary&lt; F, double &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template specialization for vectorized functions applying to double arguments.  
+ <a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a43606ccbf343a056c5f7c0c4779e80ab"><td class="memItemLeft" align="right" valign="top">typedef double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a43606ccbf343a056c5f7c0c4779e80ab">return_t</a></td></tr>
+<tr class="memdesc:a43606ccbf343a056c5f7c0c4779e80ab"><td class="mdescLeft">&#160;</td><td class="mdescRight">The return type, double.  <a href="#a43606ccbf343a056c5f7c0c4779e80ab">More...</a><br /></td></tr>
+<tr class="separator:a43606ccbf343a056c5f7c0c4779e80ab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a38488eadfcfeb1a9286fb87600519df1"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a43606ccbf343a056c5f7c0c4779e80ab">return_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a38488eadfcfeb1a9286fb87600519df1">apply</a> (double x)</td></tr>
+<tr class="memdesc:a38488eadfcfeb1a9286fb87600519df1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the function specified by F to the specified argument.  <a href="#a38488eadfcfeb1a9286fb87600519df1">More...</a><br /></td></tr>
+<tr class="separator:a38488eadfcfeb1a9286fb87600519df1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F&gt;<br />
+struct stan::math::apply_scalar_unary&lt; F, double &gt;</h3>
+
+<p>Template specialization for vectorized functions applying to double arguments. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function defining static apply function. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00074">74</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a43606ccbf343a056c5f7c0c4779e80ab"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef double <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, double &gt;::<a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a43606ccbf343a056c5f7c0c4779e80ab">return_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The return type, double. </p>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00078">78</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a38488eadfcfeb1a9286fb87600519df1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01double_01_4.html#a43606ccbf343a056c5f7c0c4779e80ab">return_t</a> <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, double &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Apply the function specified by F to the specified argument. </p>
+<p>This is defined through a direct application of <code>F::fun()</code>, which must be defined for double arguments.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Argument scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of applying F to the scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00089">89</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/vectorize/<a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4-members.html b/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4-members.html
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html">apply_scalar_unary&lt; F, int &gt;</a></li>  </ul>
+</div>
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+<div class="header">
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+<div class="title">stan::math::apply_scalar_unary&lt; F, int &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html">stan::math::apply_scalar_unary&lt; F, int &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#ab9f06ee57aeb0da1db44535e2e7c4916">apply</a>(int x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html">stan::math::apply_scalar_unary&lt; F, int &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#a893ad35b32c248a8fc19b70229f19aaa">return_t</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html">stan::math::apply_scalar_unary&lt; F, int &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html b/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+        name="MSearchResults" id="MSearchResults">
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html">apply_scalar_unary&lt; F, int &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::apply_scalar_unary&lt; F, int &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template specialization for vectorized functions applying to integer arguments.  
+ <a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a893ad35b32c248a8fc19b70229f19aaa"><td class="memItemLeft" align="right" valign="top">typedef double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#a893ad35b32c248a8fc19b70229f19aaa">return_t</a></td></tr>
+<tr class="memdesc:a893ad35b32c248a8fc19b70229f19aaa"><td class="mdescLeft">&#160;</td><td class="mdescRight">The return type, double.  <a href="#a893ad35b32c248a8fc19b70229f19aaa">More...</a><br /></td></tr>
+<tr class="separator:a893ad35b32c248a8fc19b70229f19aaa"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:ab9f06ee57aeb0da1db44535e2e7c4916"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#a893ad35b32c248a8fc19b70229f19aaa">return_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#ab9f06ee57aeb0da1db44535e2e7c4916">apply</a> (int x)</td></tr>
+<tr class="memdesc:ab9f06ee57aeb0da1db44535e2e7c4916"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the function specified by F to the specified argument.  <a href="#ab9f06ee57aeb0da1db44535e2e7c4916">More...</a><br /></td></tr>
+<tr class="separator:ab9f06ee57aeb0da1db44535e2e7c4916"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F&gt;<br />
+struct stan::math::apply_scalar_unary&lt; F, int &gt;</h3>
+
+<p>Template specialization for vectorized functions applying to integer arguments. </p>
+<p>Although the argument is integer, the return type is specified as double. This allows promotion of integers to doubles in vectorized functions, or in containers.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function defining static apply function. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00103">103</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a893ad35b32c248a8fc19b70229f19aaa"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef double <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, int &gt;::<a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#a893ad35b32c248a8fc19b70229f19aaa">return_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The return type, double. </p>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00107">107</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="ab9f06ee57aeb0da1db44535e2e7c4916"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01int_01_4.html#a893ad35b32c248a8fc19b70229f19aaa">return_t</a> <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, int &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Apply the function specified by F to the specified argument. </p>
+<p>This is defined through a direct application of <code>F::fun()</code>, which must be defined for double arguments.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Argument scalar. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Result of applying F to the scalar. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00118">118</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/vectorize/<a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4-members.html b/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4-members.html
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a25197be9e9c54310bc9e2c478ce5d94e">apply</a>(const stan::math::fvar&lt; T &gt; &amp;x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac2d8840f678c586a3055f4609c9bbcf4">return_t</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html
new file mode 100644
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--- /dev/null
+++ b/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html
@@ -0,0 +1,208 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template specialization to fvar for vectorizing a unary scalar function.  
+ <a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:ac2d8840f678c586a3055f4609c9bbcf4"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac2d8840f678c586a3055f4609c9bbcf4">return_t</a></td></tr>
+<tr class="memdesc:ac2d8840f678c586a3055f4609c9bbcf4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function return type, which is same as the argument type for the function, <code>fvar&lt;T&gt;</code>.  <a href="#ac2d8840f678c586a3055f4609c9bbcf4">More...</a><br /></td></tr>
+<tr class="separator:ac2d8840f678c586a3055f4609c9bbcf4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a25197be9e9c54310bc9e2c478ce5d94e"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac2d8840f678c586a3055f4609c9bbcf4">return_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a25197be9e9c54310bc9e2c478ce5d94e">apply</a> (const <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &amp;x)</td></tr>
+<tr class="memdesc:a25197be9e9c54310bc9e2c478ce5d94e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the function specified by F to the specified argument.  <a href="#a25197be9e9c54310bc9e2c478ce5d94e">More...</a><br /></td></tr>
+<tr class="separator:a25197be9e9c54310bc9e2c478ce5d94e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F, typename T&gt;<br />
+struct stan::math::apply_scalar_unary&lt; F, stan::math::fvar&lt; T &gt; &gt;</h3>
+
+<p>Template specialization to fvar for vectorizing a unary scalar function. </p>
+<p>This is a base scalar specialization. It applies the function specified by the template parameter to the argument.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function to apply. </td></tr>
+    <tr><td class="paramname">T</td><td>Value and tangent type for for forward-mode autodiff variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00022">22</a> of file <a class="el" href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="ac2d8840f678c586a3055f4609c9bbcf4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt;T&gt; <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::<a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac2d8840f678c586a3055f4609c9bbcf4">return_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Function return type, which is same as the argument type for the function, <code>fvar&lt;T&gt;</code>. </p>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00027">27</a> of file <a class="el" href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a25197be9e9c54310bc9e2c478ce5d94e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#ac2d8840f678c586a3055f4609c9bbcf4">return_t</a> <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Apply the function specified by F to the specified argument. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Argument variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Function applied to the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00035">35</a> of file <a class="el" href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/fwd/mat/vectorize/<a class="el" href="fwd_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html">apply_scalar_unary&lt; F, stan::math::var &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#acb742be7fe78126247c92a57175e738e">apply</a>(const stan::math::var &amp;x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#a370c4c6e3b16789d8fd9ab98f98af3e7">return_t</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html b/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html">apply_scalar_unary&lt; F, stan::math::var &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::apply_scalar_unary&lt; F, stan::math::var &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template specialization to var for vectorizing a unary scalar function.  
+ <a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a370c4c6e3b16789d8fd9ab98f98af3e7"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#a370c4c6e3b16789d8fd9ab98f98af3e7">return_t</a></td></tr>
+<tr class="memdesc:a370c4c6e3b16789d8fd9ab98f98af3e7"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function return type, which is <code>var</code>.  <a href="#a370c4c6e3b16789d8fd9ab98f98af3e7">More...</a><br /></td></tr>
+<tr class="separator:a370c4c6e3b16789d8fd9ab98f98af3e7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:acb742be7fe78126247c92a57175e738e"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#a370c4c6e3b16789d8fd9ab98f98af3e7">return_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#acb742be7fe78126247c92a57175e738e">apply</a> (const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;x)</td></tr>
+<tr class="memdesc:acb742be7fe78126247c92a57175e738e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the function specified by F to the specified argument.  <a href="#acb742be7fe78126247c92a57175e738e">More...</a><br /></td></tr>
+<tr class="separator:acb742be7fe78126247c92a57175e738e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F&gt;<br />
+struct stan::math::apply_scalar_unary&lt; F, stan::math::var &gt;</h3>
+
+<p>Template specialization to var for vectorizing a unary scalar function. </p>
+<p>This is a base scalar specialization. It applies the function specified by the template parameter to the argument.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Type of function to apply. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00020">20</a> of file <a class="el" href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a370c4c6e3b16789d8fd9ab98f98af3e7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::<a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#a370c4c6e3b16789d8fd9ab98f98af3e7">return_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Function return type, which is <code>var</code>. </p>
+
+<p>Definition at line <a class="el" href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00024">24</a> of file <a class="el" href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="acb742be7fe78126247c92a57175e738e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01stan_1_1math_1_1var_01_4.html#a370c4c6e3b16789d8fd9ab98f98af3e7">return_t</a> <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Apply the function specified by F to the specified argument. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Argument variable. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Function applied to the variable. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00032">32</a> of file <a class="el" href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/mat/vectorize/<a class="el" href="rev_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html">apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;</a></li>  </ul>
+</div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a9e7c75f072d843703edb6f33de95c430">apply</a>(const std::vector&lt; T &gt; &amp;x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">return_t</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template specialization for vectorized functions applying to standard vector containers.  
+ <a href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a51bcc1e2ed403b77bc788db3183c50d6"><td class="memItemLeft" align="right" valign="top">typedef std::vector&lt; typename <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">apply_scalar_unary</a>&lt; F, T &gt;::<a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">return_t</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">return_t</a></td></tr>
+<tr class="memdesc:a51bcc1e2ed403b77bc788db3183c50d6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return type, which is calculated recursively as a standard vector of the return type of the contained type T.  <a href="#a51bcc1e2ed403b77bc788db3183c50d6">More...</a><br /></td></tr>
+<tr class="separator:a51bcc1e2ed403b77bc788db3183c50d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a9e7c75f072d843703edb6f33de95c430"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">return_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a9e7c75f072d843703edb6f33de95c430">apply</a> (const std::vector&lt; T &gt; &amp;x)</td></tr>
+<tr class="memdesc:a9e7c75f072d843703edb6f33de95c430"><td class="mdescLeft">&#160;</td><td class="mdescRight">Apply the function specified by F elementwise to the specified argument.  <a href="#a9e7c75f072d843703edb6f33de95c430">More...</a><br /></td></tr>
+<tr class="separator:a9e7c75f072d843703edb6f33de95c430"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F, typename T&gt;<br />
+struct stan::math::apply_scalar_unary&lt; F, std::vector&lt; T &gt; &gt;</h3>
+
+<p>Template specialization for vectorized functions applying to standard vector containers. </p>
+<p>The lowest-level scalar type of the argument will determine the return type. Integers are promoted to double values.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>Class defining a static apply function. </td></tr>
+    <tr><td class="paramname">T</td><td>Type of element contained in standard vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00133">133</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a51bcc1e2ed403b77bc788db3183c50d6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef std::vector&lt;typename <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">apply_scalar_unary</a>&lt;F, T&gt;::<a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">return_t</a>&gt; <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, std::vector&lt; T &gt; &gt;::<a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">return_t</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Return type, which is calculated recursively as a standard vector of the return type of the contained type T. </p>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00139">139</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a9e7c75f072d843703edb6f33de95c430"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="structstan_1_1math_1_1apply__scalar__unary_3_01_f_00_01std_1_1vector_3_01_t_01_4_01_4.html#a51bcc1e2ed403b77bc788db3183c50d6">return_t</a> <a class="el" href="structstan_1_1math_1_1apply__scalar__unary.html">stan::math::apply_scalar_unary</a>&lt; F, std::vector&lt; T &gt; &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Apply the function specified by F elementwise to the specified argument. </p>
+<p>This is defined recursively through this class applied to elements of type T.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>Argument container. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>Elementwise application of F to the elements of the container. </dd></dl>
+
+<p>Definition at line <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html#l00150">150</a> of file <a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/vectorize/<a class="el" href="prim_2mat_2vectorize_2apply__scalar__unary_8hpp_source.html">apply_scalar_unary.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1array__builder.html#a725410c59aa282c6b23c52fd252aa1a3">array</a>()</td><td class="entry"><a class="el" href="structstan_1_1math_1_1array__builder.html">stan::math::array_builder&lt; T &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1array__builder.html#a8e2649b71c980137fa5d86433d2be50c">array_builder</a>()</td><td class="entry"><a class="el" href="structstan_1_1math_1_1array__builder.html">stan::math::array_builder&lt; T &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1array__builder.html#aeeffff75de3c356257e419fc8591afcb">x_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1array__builder.html">stan::math::array_builder&lt; T &gt;</a></td><td class="entry"></td></tr>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+</div>
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+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-attribs">Public Attributes</a> &#124;
+<a href="structstan_1_1math_1_1array__builder-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::array_builder&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Structure for building up arrays in an expression (rather than in statements) using an argumentchaining <a class="el" href="structstan_1_1math_1_1array__builder.html#a085e0190d7a41c4e33bfa9f542b1d62a">add()</a> method and a getter method <a class="el" href="structstan_1_1math_1_1array__builder.html#a725410c59aa282c6b23c52fd252aa1a3">array()</a> to return the result.  
+ <a href="structstan_1_1math_1_1array__builder.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="array__builder_8hpp_source.html">array_builder.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a8e2649b71c980137fa5d86433d2be50c"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1array__builder.html#a8e2649b71c980137fa5d86433d2be50c">array_builder</a> ()</td></tr>
+<tr class="separator:a8e2649b71c980137fa5d86433d2be50c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a085e0190d7a41c4e33bfa9f542b1d62a"><td class="memTemplParams" colspan="2">template&lt;typename F &gt; </td></tr>
+<tr class="memitem:a085e0190d7a41c4e33bfa9f542b1d62a"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="structstan_1_1math_1_1array__builder.html">array_builder</a> &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1array__builder.html#a085e0190d7a41c4e33bfa9f542b1d62a">add</a> (const F &amp;u)</td></tr>
+<tr class="separator:a085e0190d7a41c4e33bfa9f542b1d62a"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a725410c59aa282c6b23c52fd252aa1a3"><td class="memItemLeft" align="right" valign="top">std::vector&lt; T &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1array__builder.html#a725410c59aa282c6b23c52fd252aa1a3">array</a> ()</td></tr>
+<tr class="separator:a725410c59aa282c6b23c52fd252aa1a3"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:aeeffff75de3c356257e419fc8591afcb"><td class="memItemLeft" align="right" valign="top">std::vector&lt; T &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1array__builder.html#aeeffff75de3c356257e419fc8591afcb">x_</a></td></tr>
+<tr class="separator:aeeffff75de3c356257e419fc8591afcb"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::array_builder&lt; T &gt;</h3>
+
+<p>Structure for building up arrays in an expression (rather than in statements) using an argumentchaining <a class="el" href="structstan_1_1math_1_1array__builder.html#a085e0190d7a41c4e33bfa9f542b1d62a">add()</a> method and a getter method <a class="el" href="structstan_1_1math_1_1array__builder.html#a725410c59aa282c6b23c52fd252aa1a3">array()</a> to return the result. </p>
+
+<p>Definition at line <a class="el" href="array__builder_8hpp_source.html#l00016">16</a> of file <a class="el" href="array__builder_8hpp_source.html">array_builder.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a8e2649b71c980137fa5d86433d2be50c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1array__builder.html">stan::math::array_builder</a>&lt; T &gt;::<a class="el" href="structstan_1_1math_1_1array__builder.html">array_builder</a> </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="array__builder_8hpp_source.html#l00018">18</a> of file <a class="el" href="array__builder_8hpp_source.html">array_builder.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a085e0190d7a41c4e33bfa9f542b1d62a"></a>
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+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>u</em></td><td>)</td>
+          <td></td>
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+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="array__builder_8hpp_source.html#l00020">20</a> of file <a class="el" href="array__builder_8hpp_source.html">array_builder.hpp</a>.</p>
+
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+<a class="anchor" id="a725410c59aa282c6b23c52fd252aa1a3"></a>
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+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;T&gt; <a class="el" href="structstan_1_1math_1_1array__builder.html">stan::math::array_builder</a>&lt; T &gt;::array </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="array__builder_8hpp_source.html#l00026">26</a> of file <a class="el" href="array__builder_8hpp_source.html">array_builder.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="aeeffff75de3c356257e419fc8591afcb"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;T&gt; <a class="el" href="structstan_1_1math_1_1array__builder.html">stan::math::array_builder</a>&lt; T &gt;::x_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="array__builder_8hpp_source.html#l00017">17</a> of file <a class="el" href="array__builder_8hpp_source.html">array_builder.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="array__builder_8hpp_source.html">array_builder.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1child__type.html b/doc/api/html/structstan_1_1math_1_1child__type.html
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1child__type-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::child_type&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Primary template class for metaprogram to compute child type of T.  
+ <a href="structstan_1_1math_1_1child__type.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="child__type_8hpp_source.html">child_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
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+<tr class="memitem:a0d005efbf96c2a27150943452b30a6f9"><td class="memItemLeft" align="right" valign="top">typedef double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1child__type.html#a0d005efbf96c2a27150943452b30a6f9">type</a></td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::child_type&lt; T &gt;</h3>
+
+<p>Primary template class for metaprogram to compute child type of T. </p>
+<p>See <code>test/unit/math/meta/child_type_test.cpp</code> for intended usage.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of container. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="child__type_8hpp_source.html#l00019">19</a> of file <a class="el" href="child__type_8hpp_source.html">child_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
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+<div class="memitem">
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+<div class="memtemplate">
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+          <td class="memname">typedef double <a class="el" href="structstan_1_1math_1_1child__type.html">stan::math::child_type</a>&lt; T &gt;::<a class="el" href="structstan_1_1math_1_1child__type.html#a0d005efbf96c2a27150943452b30a6f9">type</a></td>
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+<p>Definition at line <a class="el" href="child__type_8hpp_source.html#l00020">20</a> of file <a class="el" href="child__type_8hpp_source.html">child_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="child__type_8hpp_source.html">child_type.hpp</a></li>
+</ul>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::child_type&lt; T_struct&lt; T_child &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4.html">stan::math::child_type&lt; T_struct&lt; T_child &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
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diff --git a/doc/api/html/structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4.html
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::child_type&lt; T_struct&lt; T_child &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Specialization for template classes / structs.  
+ <a href="structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="child__type_8hpp_source.html">child_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a641ba0032fa0a71e7216cef157e7d831"><td class="memItemLeft" align="right" valign="top">typedef T_child&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4.html#a641ba0032fa0a71e7216cef157e7d831">type</a></td></tr>
+<tr class="separator:a641ba0032fa0a71e7216cef157e7d831"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;template&lt; typename &gt; class T_struct, typename T_child&gt;<br />
+struct stan::math::child_type&lt; T_struct&lt; T_child &gt; &gt;</h3>
+
+<p>Specialization for template classes / structs. </p>
+<p>See <code>test/unit/math/meta/child_type_test.cpp</code> for intended usage.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T_struct</td><td>type of parent. </td></tr>
+    <tr><td class="paramname">T_child</td><td>type of child type. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="child__type_8hpp_source.html#l00034">34</a> of file <a class="el" href="child__type_8hpp_source.html">child_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a641ba0032fa0a71e7216cef157e7d831"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;template&lt; typename &gt; class T_struct, typename T_child &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef T_child <a class="el" href="structstan_1_1math_1_1child__type.html">stan::math::child_type</a>&lt; T_struct&lt; T_child &gt; &gt;::<a class="el" href="structstan_1_1math_1_1child__type_3_01_t__struct_3_01_t__child_01_4_01_4.html#a641ba0032fa0a71e7216cef157e7d831">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="child__type_8hpp_source.html#l00035">35</a> of file <a class="el" href="child__type_8hpp_source.html">child_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="child__type_8hpp_source.html">child_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1common__type.html">stan::math::common_type&lt; T1, T2 &gt;</a>, including all inherited members.</p>
+<table class="directory">
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+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+  <div class="headertitle">
+<div class="title">stan::math::common_type&lt; T1, T2 &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
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+<tr class="memitem:a79e549f9ee143c7d5bec69a89aaa685f"><td class="memItemLeft" align="right" valign="top">typedef boost::math::tools::promote_args&lt; T1, T2 &gt;::<a class="el" href="structstan_1_1math_1_1common__type.html#a79e549f9ee143c7d5bec69a89aaa685f">type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1common__type.html#a79e549f9ee143c7d5bec69a89aaa685f">type</a></td></tr>
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+<div class="textblock"><h3>template&lt;typename T1, typename T2&gt;<br />
+struct stan::math::common_type&lt; T1, T2 &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="common__type_8hpp_source.html#l00013">13</a> of file <a class="el" href="common__type_8hpp_source.html">common_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a79e549f9ee143c7d5bec69a89aaa685f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1, typename T2&gt; </div>
+      <table class="memname">
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+          <td class="memname">typedef boost::math::tools::promote_args&lt;T1, T2&gt;::<a class="el" href="structstan_1_1math_1_1common__type.html#a79e549f9ee143c7d5bec69a89aaa685f">type</a> <a class="el" href="structstan_1_1math_1_1common__type.html">stan::math::common_type</a>&lt; T1, T2 &gt;::<a class="el" href="structstan_1_1math_1_1common__type.html#a79e549f9ee143c7d5bec69a89aaa685f">type</a></td>
+        </tr>
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+<p>Definition at line <a class="el" href="common__type_8hpp_source.html#l00014">14</a> of file <a class="el" href="common__type_8hpp_source.html">common_type.hpp</a>.</p>
+
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+<li>stan/math/prim/mat/fun/<a class="el" href="common__type_8hpp_source.html">common_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div><!--header-->
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html">stan::math::common_type&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html#a1dfda8432ea5cb2fd29673a00f23d9ab">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html">stan::math::common_type&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html b/doc/api/html/structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html
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+<table cellspacing="0" cellpadding="0">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+      <li><a href="annotated.html"><span>Class&#160;List</span></a></li>
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+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html">common_type&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eige106a86f1021708b40db478c4e2fef0a7.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::common_type&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="common__type_8hpp_source.html">common_type.hpp</a>&gt;</code></p>
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+<tr class="memitem:a1dfda8432ea5cb2fd29673a00f23d9ab"><td class="memItemLeft" align="right" valign="top">typedef Eigen::Matrix&lt; typename <a class="el" href="structstan_1_1math_1_1common__type.html">common_type</a>&lt; T1, T2 &gt;::<a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html#a1dfda8432ea5cb2fd29673a00f23d9ab">type</a>, R, C &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html#a1dfda8432ea5cb2fd29673a00f23d9ab">type</a></td></tr>
+<tr class="separator:a1dfda8432ea5cb2fd29673a00f23d9ab"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2, int R, int C&gt;<br />
+struct stan::math::common_type&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="common__type_8hpp_source.html#l00023">23</a> of file <a class="el" href="common__type_8hpp_source.html">common_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a1dfda8432ea5cb2fd29673a00f23d9ab"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 , int R, int C&gt; </div>
+      <table class="memname">
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+          <td class="memname">typedef Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1math_1_1common__type.html">common_type</a>&lt;T1, T2&gt;::<a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html#a1dfda8432ea5cb2fd29673a00f23d9ab">type</a>, R, C&gt; <a class="el" href="structstan_1_1math_1_1common__type.html">stan::math::common_type</a>&lt; Eigen::Matrix&lt; T1, R, C &gt;, Eigen::Matrix&lt; T2, R, C &gt; &gt;::<a class="el" href="structstan_1_1math_1_1common__type_3_01_eigen_1_1_matrix_3_01_t1_00_01_r_00_01_c_01_4_00_01_eiged8accfa00e73f240c58ad02ac582ba93.html#a1dfda8432ea5cb2fd29673a00f23d9ab">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="common__type_8hpp_source.html#l00024">24</a> of file <a class="el" href="common__type_8hpp_source.html">common_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="common__type_8hpp_source.html">common_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1common__type_3_01std_1_1vector_3_01_t1_01_4_00_01std_1_1vector_3_01_t2_01_4_01_4-members.html">List of all members</a>  </div>
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+<p><code>#include &lt;<a class="el" href="common__type_8hpp_source.html">common_type.hpp</a>&gt;</code></p>
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+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
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+<tr class="memitem:a3d85f74a9e814b33da63154c2c42831a"><td class="memItemLeft" align="right" valign="top">typedef std::vector&lt; typename <a class="el" href="structstan_1_1math_1_1common__type.html">common_type</a>&lt; T1, T2 &gt;::<a class="el" href="structstan_1_1math_1_1common__type_3_01std_1_1vector_3_01_t1_01_4_00_01std_1_1vector_3_01_t2_01_4_01_4.html#a3d85f74a9e814b33da63154c2c42831a">type</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1common__type_3_01std_1_1vector_3_01_t1_01_4_00_01std_1_1vector_3_01_t2_01_4_01_4.html#a3d85f74a9e814b33da63154c2c42831a">type</a></td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2&gt;<br />
+struct stan::math::common_type&lt; std::vector&lt; T1 &gt;, std::vector&lt; T2 &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="common__type_8hpp_source.html#l00018">18</a> of file <a class="el" href="common__type_8hpp_source.html">common_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a3d85f74a9e814b33da63154c2c42831a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1 , typename T2 &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef std::vector&lt;typename <a class="el" href="structstan_1_1math_1_1common__type.html">common_type</a>&lt;T1, T2&gt;::<a class="el" href="structstan_1_1math_1_1common__type_3_01std_1_1vector_3_01_t1_01_4_00_01std_1_1vector_3_01_t2_01_4_01_4.html#a3d85f74a9e814b33da63154c2c42831a">type</a>&gt; <a class="el" href="structstan_1_1math_1_1common__type.html">stan::math::common_type</a>&lt; std::vector&lt; T1 &gt;, std::vector&lt; T2 &gt; &gt;::<a class="el" href="structstan_1_1math_1_1common__type_3_01std_1_1vector_3_01_t1_01_4_00_01std_1_1vector_3_01_t2_01_4_01_4.html#a3d85f74a9e814b33da63154c2c42831a">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="common__type_8hpp_source.html#l00019">19</a> of file <a class="el" href="common__type_8hpp_source.html">common_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="common__type_8hpp_source.html">common_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
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+   &#160;<span id="projectnumber">2.10.0</span>
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+</div>
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+  <div class="headertitle">
+<div class="title">stan::math::coupled_ode_observer Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html">stan::math::coupled_ode_observer</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#a1cbc3b0af0db1af7a2614619963dafb2">coupled_ode_observer</a>(std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y_coupled)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html">stan::math::coupled_ode_observer</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">explicit</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#ad24f4f0e485caa6ca0f4f149624c5109">n_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html">stan::math::coupled_ode_observer</a></td><td class="entry"></td></tr>
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+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#ad213dbe6a4b23d20955a4fdfc94d3308">y_coupled_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html">stan::math::coupled_ode_observer</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <div class="headertitle">
+<div class="title">stan::math::coupled_ode_observer Struct Reference</div>  </div>
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+<div class="contents">
+
+<p>Observer for the coupled states.  
+ <a href="structstan_1_1math_1_1coupled__ode__observer.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="coupled__ode__observer_8hpp_source.html">coupled_ode_observer.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a1cbc3b0af0db1af7a2614619963dafb2"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#a1cbc3b0af0db1af7a2614619963dafb2">coupled_ode_observer</a> (std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y_coupled)</td></tr>
+<tr class="memdesc:a1cbc3b0af0db1af7a2614619963dafb2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a coupled ODE observer from the specified coupled vector.  <a href="#a1cbc3b0af0db1af7a2614619963dafb2">More...</a><br /></td></tr>
+<tr class="separator:a1cbc3b0af0db1af7a2614619963dafb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6c0c4107e1d62a89395e5ee17e5a43c4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#a6c0c4107e1d62a89395e5ee17e5a43c4">operator()</a> (const std::vector&lt; double &gt; &amp;coupled_state, const double t)</td></tr>
+<tr class="memdesc:a6c0c4107e1d62a89395e5ee17e5a43c4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Callback function for Boost's ODE solver to record values.  <a href="#a6c0c4107e1d62a89395e5ee17e5a43c4">More...</a><br /></td></tr>
+<tr class="separator:a6c0c4107e1d62a89395e5ee17e5a43c4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:ad213dbe6a4b23d20955a4fdfc94d3308"><td class="memItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; double &gt; &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#ad213dbe6a4b23d20955a4fdfc94d3308">y_coupled_</a></td></tr>
+<tr class="separator:ad213dbe6a4b23d20955a4fdfc94d3308"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad24f4f0e485caa6ca0f4f149624c5109"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__observer.html#ad24f4f0e485caa6ca0f4f149624c5109">n_</a></td></tr>
+<tr class="separator:ad24f4f0e485caa6ca0f4f149624c5109"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Observer for the coupled states. </p>
+<p>Holds a reference to an externally defined vector of vectors passed in at construction time. </p>
+
+<p>Definition at line <a class="el" href="coupled__ode__observer_8hpp_source.html#l00015">15</a> of file <a class="el" href="coupled__ode__observer_8hpp_source.html">coupled_ode_observer.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a1cbc3b0af0db1af7a2614619963dafb2"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">stan::math::coupled_ode_observer::coupled_ode_observer </td>
+          <td>(</td>
+          <td class="paramtype">std::vector&lt; std::vector&lt; double &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y_coupled</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">explicit</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a coupled ODE observer from the specified coupled vector. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y_coupled</td><td>reference to a vector of vector of doubles. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="coupled__ode__observer_8hpp_source.html#l00025">25</a> of file <a class="el" href="coupled__ode__observer_8hpp_source.html">coupled_ode_observer.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a6c0c4107e1d62a89395e5ee17e5a43c4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void stan::math::coupled_ode_observer::operator() </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>coupled_state</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const double&#160;</td>
+          <td class="paramname"><em>t</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Callback function for Boost's ODE solver to record values. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">coupled_state</td><td>solution at the specified time. </td></tr>
+    <tr><td class="paramname">t</td><td>time of solution. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="coupled__ode__observer_8hpp_source.html#l00036">36</a> of file <a class="el" href="coupled__ode__observer_8hpp_source.html">coupled_ode_observer.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="ad24f4f0e485caa6ca0f4f149624c5109"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">int stan::math::coupled_ode_observer::n_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="coupled__ode__observer_8hpp_source.html#l00017">17</a> of file <a class="el" href="coupled__ode__observer_8hpp_source.html">coupled_ode_observer.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ad213dbe6a4b23d20955a4fdfc94d3308"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;std::vector&lt;double&gt; &gt;&amp; stan::math::coupled_ode_observer::y_coupled_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="coupled__ode__observer_8hpp_source.html#l00016">16</a> of file <a class="el" href="coupled__ode__observer_8hpp_source.html">coupled_ode_observer.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/arr/functor/<a class="el" href="coupled__ode__observer_8hpp_source.html">coupled_ode_observer.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1coupled__ode__system.html b/doc/api/html/structstan_1_1math_1_1coupled__ode__system.html
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+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::coupled_ode_system&lt; F, T1, T2 &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Base template class for a coupled ordinary differential equation system, which adds sensitivities to the base system.  
+ <a href="structstan_1_1math_1_1coupled__ode__system.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>&gt;</code></p>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F, typename T1, typename T2&gt;<br />
+struct stan::math::coupled_ode_system&lt; F, T1, T2 &gt;</h3>
+
+<p>Base template class for a coupled ordinary differential equation system, which adds sensitivities to the base system. </p>
+<p>This template class declaration should not be instantiated directly &mdash; it is just here to serve as a base for its specializations, some of which are defined in namespace <code>stan::aggrad</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>the functor for the base ode system </td></tr>
+    <tr><td class="paramname">T1</td><td>type of the initial state </td></tr>
+    <tr><td class="paramname">T2</td><td>type of the parameters </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00025">25</a> of file <a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+</div><hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/arr/functor/<a class="el" href="prim_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a6f7d9914ea3740d8b6e5105a87aa2cd8">coupled_ode_system</a>(const F &amp;f, const std::vector&lt; double &gt; &amp;y0, const std::vector&lt; stan::math::var &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ae5a23e98720f934c3ce7d26901b34b6f">decouple_states</a>(const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a29bdd2a1b78ae39b6be208202254d641">f_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a3e039bc430a91652cfa3a25ea104c876">initial_state</a>()</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ace943e49e8e81900dba84aa7ad248e1d">M_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a1d598b9ae88d390a54ed701bc9752999">msgs_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac2046745fac3341408eb20d04fbd8340">N_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#abaa6f106d429e6bb6b5a4a7947556cc2">operator()</a>(const std::vector&lt; double &gt; &amp;z, std::vector&lt; double &gt; &amp;dz_dt, double t)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#acec587a37d9168a46a1ddd44c651dcd4">size</a>() const </td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a072fc6585021385a59831dfef70c8fa1">size_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa83bd4b43f18e3173da624b4955da369">theta_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a8ed7492f88159d09d0821e2733f7251b">theta_dbl_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ad7ffb5050618453920b1d961b2bc6b58">x_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa69a8f9f7d6ecd19c32082fc8981dd2d">x_int_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac10d0e5efa43f212517bfbec68a92027">y0_dbl_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</a></td><td class="entry"></td></tr>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
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+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-attribs">Public Attributes</a> &#124;
+<a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
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+
+<p>The coupled ODE system for known initial values and unknown parameters.  
+ <a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:a6f7d9914ea3740d8b6e5105a87aa2cd8"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a6f7d9914ea3740d8b6e5105a87aa2cd8">coupled_ode_system</a> (const F &amp;f, const std::vector&lt; double &gt; &amp;y0, const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td></tr>
+<tr class="memdesc:a6f7d9914ea3740d8b6e5105a87aa2cd8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a coupled ODE system with the specified base ODE system, base initial state, parameters, data, and a message stream.  <a href="#a6f7d9914ea3740d8b6e5105a87aa2cd8">More...</a><br /></td></tr>
+<tr class="separator:a6f7d9914ea3740d8b6e5105a87aa2cd8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abaa6f106d429e6bb6b5a4a7947556cc2"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#abaa6f106d429e6bb6b5a4a7947556cc2">operator()</a> (const std::vector&lt; double &gt; &amp;z, std::vector&lt; double &gt; &amp;dz_dt, double t)</td></tr>
+<tr class="memdesc:abaa6f106d429e6bb6b5a4a7947556cc2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Assign the derivative vector with the system derivatives at the specified state and time.  <a href="#abaa6f106d429e6bb6b5a4a7947556cc2">More...</a><br /></td></tr>
+<tr class="separator:abaa6f106d429e6bb6b5a4a7947556cc2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:acec587a37d9168a46a1ddd44c651dcd4"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#acec587a37d9168a46a1ddd44c651dcd4">size</a> () const </td></tr>
+<tr class="memdesc:acec587a37d9168a46a1ddd44c651dcd4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the size of the coupled system.  <a href="#acec587a37d9168a46a1ddd44c651dcd4">More...</a><br /></td></tr>
+<tr class="separator:acec587a37d9168a46a1ddd44c651dcd4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3e039bc430a91652cfa3a25ea104c876"><td class="memItemLeft" align="right" valign="top">std::vector&lt; double &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a3e039bc430a91652cfa3a25ea104c876">initial_state</a> ()</td></tr>
+<tr class="memdesc:a3e039bc430a91652cfa3a25ea104c876"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the initial state of the coupled system.  <a href="#a3e039bc430a91652cfa3a25ea104c876">More...</a><br /></td></tr>
+<tr class="separator:a3e039bc430a91652cfa3a25ea104c876"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae5a23e98720f934c3ce7d26901b34b6f"><td class="memItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ae5a23e98720f934c3ce7d26901b34b6f">decouple_states</a> (const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</td></tr>
+<tr class="memdesc:ae5a23e98720f934c3ce7d26901b34b6f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the base ODE system state corresponding to the specified coupled system state.  <a href="#ae5a23e98720f934c3ce7d26901b34b6f">More...</a><br /></td></tr>
+<tr class="separator:ae5a23e98720f934c3ce7d26901b34b6f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:a29bdd2a1b78ae39b6be208202254d641"><td class="memItemLeft" align="right" valign="top">const F &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a29bdd2a1b78ae39b6be208202254d641">f_</a></td></tr>
+<tr class="separator:a29bdd2a1b78ae39b6be208202254d641"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac10d0e5efa43f212517bfbec68a92027"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; double &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac10d0e5efa43f212517bfbec68a92027">y0_dbl_</a></td></tr>
+<tr class="separator:ac10d0e5efa43f212517bfbec68a92027"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa83bd4b43f18e3173da624b4955da369"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa83bd4b43f18e3173da624b4955da369">theta_</a></td></tr>
+<tr class="separator:aa83bd4b43f18e3173da624b4955da369"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8ed7492f88159d09d0821e2733f7251b"><td class="memItemLeft" align="right" valign="top">std::vector&lt; double &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a8ed7492f88159d09d0821e2733f7251b">theta_dbl_</a></td></tr>
+<tr class="separator:a8ed7492f88159d09d0821e2733f7251b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ad7ffb5050618453920b1d961b2bc6b58"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; double &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ad7ffb5050618453920b1d961b2bc6b58">x_</a></td></tr>
+<tr class="separator:ad7ffb5050618453920b1d961b2bc6b58"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa69a8f9f7d6ecd19c32082fc8981dd2d"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; int &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#aa69a8f9f7d6ecd19c32082fc8981dd2d">x_int_</a></td></tr>
+<tr class="separator:aa69a8f9f7d6ecd19c32082fc8981dd2d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac2046745fac3341408eb20d04fbd8340"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ac2046745fac3341408eb20d04fbd8340">N_</a></td></tr>
+<tr class="separator:ac2046745fac3341408eb20d04fbd8340"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ace943e49e8e81900dba84aa7ad248e1d"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#ace943e49e8e81900dba84aa7ad248e1d">M_</a></td></tr>
+<tr class="separator:ace943e49e8e81900dba84aa7ad248e1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a072fc6585021385a59831dfef70c8fa1"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a072fc6585021385a59831dfef70c8fa1">size_</a></td></tr>
+<tr class="separator:a072fc6585021385a59831dfef70c8fa1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1d598b9ae88d390a54ed701bc9752999"><td class="memItemLeft" align="right" valign="top">std::ostream *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#a1d598b9ae88d390a54ed701bc9752999">msgs_</a></td></tr>
+<tr class="separator:a1d598b9ae88d390a54ed701bc9752999"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F&gt;<br />
+struct stan::math::coupled_ode_system&lt; F, double, stan::math::var &gt;</h3>
+
+<p>The coupled ODE system for known initial values and unknown parameters. </p>
+<p>If the base ODE state is size N and there are M parameters, the coupled system has N + N * M states. </p>
+<p>The first N states correspond to the base system's N states: <img class="formulaInl" alt="$ \frac{d x_n}{dt} $" src="form_206.png"/></p>
+<p>The next M states correspond to the sensitivities of the parameters with respect to the first base system equation: </p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{d x_{N+m}}{dt} = \frac{d}{dt} \frac{\partial x_1}{\partial \theta_m} \]" src="form_207.png"/>
+</p>
+<p>The final M states correspond to the sensitivities with respect to the second base system equation, etc.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>type of functor for the base ode system. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00063">63</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="a6f7d9914ea3740d8b6e5105a87aa2cd8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::<a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">coupled_ode_system</a> </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x_int</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>msgs</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a coupled ODE system with the specified base ODE system, base initial state, parameters, data, and a message stream. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>the base ODE system functor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y0</td><td>the initial state of the base ode. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>parameters of the base ode. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>real data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x_int</td><td>integer data. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">msgs</td><td>stream to which messages are printed. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00087">87</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="ae5a23e98720f934c3ce7d26901b34b6f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;std::vector&lt;<a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&gt; &gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::decouple_states </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the base ODE system state corresponding to the specified coupled system state. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>coupled states after solving the ode </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00212">212</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3e039bc430a91652cfa3a25ea104c876"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;double&gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::initial_state </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the initial state of the coupled system. </p>
+<p>Because the initial values are known, the initial state of the coupled system is the same as the initial state of the base ODE system.</p>
+<p>This initial state returned is of size <code><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#acec587a37d9168a46a1ddd44c651dcd4" title="Returns the size of the coupled system. ">size()</a></code> where the first N (base ODE system size) parameters are the initial conditions of the base ode system and the rest of the initial condition elements are 0.</p>
+<dl class="section return"><dt>Returns</dt><dd>the initial condition of the coupled system. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00198">198</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abaa6f106d429e6bb6b5a4a7947556cc2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::operator() </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>z</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>dz_dt</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>t</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Assign the derivative vector with the system derivatives at the specified state and time. </p>
+<p>The input state must be of size <code><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01double_00_01stan_1_1math_1_1var_01_4.html#acec587a37d9168a46a1ddd44c651dcd4" title="Returns the size of the coupled system. ">size()</a></code>, and the output produced will be of the same size.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">z</td><td>state of the coupled ode system. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">dz_dt</td><td>populated with the derivatives of the coupled system at the specified state and time. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">t</td><td>time. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">exception</td><td>if the system function does not return the same number of derivatives as the state vector size.</td></tr>
+  </table>
+  </dd>
+</dl>
+<p>y is the base ODE system state </p>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00124">124</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acec587a37d9168a46a1ddd44c651dcd4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the size of the coupled system. </p>
+<dl class="section return"><dt>Returns</dt><dd>size of the coupled system. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00181">181</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a29bdd2a1b78ae39b6be208202254d641"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const F&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::f_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00064">64</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ace943e49e8e81900dba84aa7ad248e1d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::M_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00071">71</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
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+<a class="anchor" id="a1d598b9ae88d390a54ed701bc9752999"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::ostream* <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::msgs_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00073">73</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
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+<a class="anchor" id="ac2046745fac3341408eb20d04fbd8340"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::N_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00070">70</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
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+<a class="anchor" id="a072fc6585021385a59831dfef70c8fa1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::size_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00072">72</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
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+<a class="anchor" id="aa83bd4b43f18e3173da624b4955da369"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;<a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::theta_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00066">66</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
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+<a class="anchor" id="a8ed7492f88159d09d0821e2733f7251b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;double&gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::theta_dbl_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00067">67</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
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+</div>
+<a class="anchor" id="ad7ffb5050618453920b1d961b2bc6b58"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;double&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::x_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00068">68</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa69a8f9f7d6ecd19c32082fc8981dd2d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;int&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::x_int_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00069">69</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac10d0e5efa43f212517bfbec68a92027"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;double&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, double, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::y0_dbl_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00065">65</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/arr/functor/<a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">coupled_ode_system&lt; F, stan::math::var, double &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa09103f609e2d9bc433071465f9c1b9f">coupled_ode_system</a>(const F &amp;f, const std::vector&lt; stan::math::var &gt; &amp;y0, const std::vector&lt; double &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a8980f6cc5827c50c671266150388caee">decouple_states</a>(const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a315e28cc50d328c6b384142310e9721b">f_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a90f14fa30557743ca18115488de7f59e">initial_state</a>()</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#abd51105f9c70eaa4e41604db57814b5d">M_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a1a1ce668b29fbe51a12c7af59aad2db4">msgs_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa6c3adcb5d16141d88f7c59f57794980">N_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ab3ed90ba43337909ed3a7198a4d070f4">operator()</a>(const std::vector&lt; double &gt; &amp;z, std::vector&lt; double &gt; &amp;dz_dt, double t)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada6e883cd3d290c2cf77df7a1c6940dc">size</a>() const </td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a26ef004ef67b43c6df80664bd3453108">size_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a4c5d0452b3d0655d86139a2a7cce6a13">theta_dbl_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#af3c0dd60d8c28b3beb59f62d91b7c751">x_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada8b248f756fe67a56635aeedd546386">x_int_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa7ccd9be4ab9be8769513a3deef42c6c">y0_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a727d49ad4fc2fdede1cce76919940f8d">y0_dbl_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</a></td><td class="entry"></td></tr>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html">coupled_ode_system&lt; F, stan::math::var, double &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-methods">Public Member Functions</a> &#124;
+<a href="#pub-attribs">Public Attributes</a> &#124;
+<a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>The coupled ODE system for unknown initial values and known parameters.  
+ <a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:aa09103f609e2d9bc433071465f9c1b9f"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa09103f609e2d9bc433071465f9c1b9f">coupled_ode_system</a> (const F &amp;f, const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;y0, const std::vector&lt; double &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td></tr>
+<tr class="memdesc:aa09103f609e2d9bc433071465f9c1b9f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a coupled ODE system for an unknown initial state and known parameters givne the specified base system functor, base initial state, parameters, data, and an output stream for messages.  <a href="#aa09103f609e2d9bc433071465f9c1b9f">More...</a><br /></td></tr>
+<tr class="separator:aa09103f609e2d9bc433071465f9c1b9f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab3ed90ba43337909ed3a7198a4d070f4"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ab3ed90ba43337909ed3a7198a4d070f4">operator()</a> (const std::vector&lt; double &gt; &amp;z, std::vector&lt; double &gt; &amp;dz_dt, double t)</td></tr>
+<tr class="memdesc:ab3ed90ba43337909ed3a7198a4d070f4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculates the derivative of the coupled ode system with respect to the state y at time t.  <a href="#ab3ed90ba43337909ed3a7198a4d070f4">More...</a><br /></td></tr>
+<tr class="separator:ab3ed90ba43337909ed3a7198a4d070f4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ada6e883cd3d290c2cf77df7a1c6940dc"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada6e883cd3d290c2cf77df7a1c6940dc">size</a> () const </td></tr>
+<tr class="memdesc:ada6e883cd3d290c2cf77df7a1c6940dc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the size of the coupled system.  <a href="#ada6e883cd3d290c2cf77df7a1c6940dc">More...</a><br /></td></tr>
+<tr class="separator:ada6e883cd3d290c2cf77df7a1c6940dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a90f14fa30557743ca18115488de7f59e"><td class="memItemLeft" align="right" valign="top">std::vector&lt; double &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a90f14fa30557743ca18115488de7f59e">initial_state</a> ()</td></tr>
+<tr class="memdesc:a90f14fa30557743ca18115488de7f59e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the initial state of the coupled system.  <a href="#a90f14fa30557743ca18115488de7f59e">More...</a><br /></td></tr>
+<tr class="separator:a90f14fa30557743ca18115488de7f59e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8980f6cc5827c50c671266150388caee"><td class="memItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a8980f6cc5827c50c671266150388caee">decouple_states</a> (const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</td></tr>
+<tr class="memdesc:a8980f6cc5827c50c671266150388caee"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the solutions to the basic ODE system, including appropriate autodiff partial derivatives, given the specified coupled system solution.  <a href="#a8980f6cc5827c50c671266150388caee">More...</a><br /></td></tr>
+<tr class="separator:a8980f6cc5827c50c671266150388caee"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:a315e28cc50d328c6b384142310e9721b"><td class="memItemLeft" align="right" valign="top">const F &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a315e28cc50d328c6b384142310e9721b">f_</a></td></tr>
+<tr class="separator:a315e28cc50d328c6b384142310e9721b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa7ccd9be4ab9be8769513a3deef42c6c"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa7ccd9be4ab9be8769513a3deef42c6c">y0_</a></td></tr>
+<tr class="separator:aa7ccd9be4ab9be8769513a3deef42c6c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a727d49ad4fc2fdede1cce76919940f8d"><td class="memItemLeft" align="right" valign="top">std::vector&lt; double &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a727d49ad4fc2fdede1cce76919940f8d">y0_dbl_</a></td></tr>
+<tr class="separator:a727d49ad4fc2fdede1cce76919940f8d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a4c5d0452b3d0655d86139a2a7cce6a13"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; double &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a4c5d0452b3d0655d86139a2a7cce6a13">theta_dbl_</a></td></tr>
+<tr class="separator:a4c5d0452b3d0655d86139a2a7cce6a13"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:af3c0dd60d8c28b3beb59f62d91b7c751"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; double &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#af3c0dd60d8c28b3beb59f62d91b7c751">x_</a></td></tr>
+<tr class="separator:af3c0dd60d8c28b3beb59f62d91b7c751"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ada8b248f756fe67a56635aeedd546386"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; int &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada8b248f756fe67a56635aeedd546386">x_int_</a></td></tr>
+<tr class="separator:ada8b248f756fe67a56635aeedd546386"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1a1ce668b29fbe51a12c7af59aad2db4"><td class="memItemLeft" align="right" valign="top">std::ostream *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a1a1ce668b29fbe51a12c7af59aad2db4">msgs_</a></td></tr>
+<tr class="separator:a1a1ce668b29fbe51a12c7af59aad2db4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa6c3adcb5d16141d88f7c59f57794980"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#aa6c3adcb5d16141d88f7c59f57794980">N_</a></td></tr>
+<tr class="separator:aa6c3adcb5d16141d88f7c59f57794980"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abd51105f9c70eaa4e41604db57814b5d"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#abd51105f9c70eaa4e41604db57814b5d">M_</a></td></tr>
+<tr class="separator:abd51105f9c70eaa4e41604db57814b5d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a26ef004ef67b43c6df80664bd3453108"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#a26ef004ef67b43c6df80664bd3453108">size_</a></td></tr>
+<tr class="separator:a26ef004ef67b43c6df80664bd3453108"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F&gt;<br />
+struct stan::math::coupled_ode_system&lt; F, stan::math::var, double &gt;</h3>
+
+<p>The coupled ODE system for unknown initial values and known parameters. </p>
+<p>If the original ODE has states of size N, the coupled system has N + N * N states. (derivatives of each state with respect to each initial value)</p>
+<p>The coupled system has N + N * N states, where N is the size of the state vector in the base system.</p>
+<p>The first N states correspond to the base system's N states: <img class="formulaInl" alt="$ \frac{d x_n}{dt} $" src="form_206.png"/></p>
+<p>The next N states correspond to the sensitivities of the initial conditions with respect to the to the first base system equation: </p><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{d x_{N+n}}{dt} = \frac{d}{dt} \frac{\partial x_1}{\partial y0_n} \]" src="form_208.png"/>
+</p>
+<p>The next N states correspond to the sensitivities with respect to the second base system equation, etc.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>type of base ODE system functor </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00262">262</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="aa09103f609e2d9bc433071465f9c1b9f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::<a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">coupled_ode_system</a> </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x_int</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>msgs</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a coupled ODE system for an unknown initial state and known parameters givne the specified base system functor, base initial state, parameters, data, and an output stream for messages. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>base ODE system functor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y0</td><td>initial state of the base ODE. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>system parameters. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>real data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x_int</td><td>integer data. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">msgs</td><td>output stream for messages. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00287">287</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a8980f6cc5827c50c671266150388caee"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;std::vector&lt;<a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&gt; &gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::decouple_states </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the solutions to the basic ODE system, including appropriate autodiff partial derivatives, given the specified coupled system solution. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>the vector of the coupled states after solving the ode </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00410">410</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a90f14fa30557743ca18115488de7f59e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;double&gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::initial_state </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the initial state of the coupled system. </p>
+<p>Because the starting state is unknown, the coupled system incorporates the initial conditions as parameters. The initial conditions for the coupled part of the system are set to zero along with the rest of the initial state, because the value of the initial state has been moved into the parameters.</p>
+<dl class="section return"><dt>Returns</dt><dd>the initial condition of the coupled system. This is a vector of length <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada6e883cd3d290c2cf77df7a1c6940dc" title="Returns the size of the coupled system. ">size()</a> where all elements are 0. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00398">398</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab3ed90ba43337909ed3a7198a4d070f4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::operator() </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>z</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>dz_dt</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>t</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Calculates the derivative of the coupled ode system with respect to the state y at time t. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">z</td><td>the current state of the coupled, shifted ode system. This is a a vector of double of length <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada6e883cd3d290c2cf77df7a1c6940dc" title="Returns the size of the coupled system. ">size()</a>. </td></tr>
+    <tr><td class="paramdir">[out]</td><td class="paramname">dz_dt</td><td>a vector of length <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01double_01_4.html#ada6e883cd3d290c2cf77df7a1c6940dc" title="Returns the size of the coupled system. ">size()</a> with the derivatives of the coupled system evaluated with state y and time t. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">t</td><td>time. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">exception</td><td>if the system functor does not return a derivative vector of the same size as the state vector.</td></tr>
+  </table>
+  </dd>
+</dl>
+<p>y is the base ODE system state </p>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00323">323</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ada6e883cd3d290c2cf77df7a1c6940dc"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the size of the coupled system. </p>
+<dl class="section return"><dt>Returns</dt><dd>size of the coupled system. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00380">380</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a315e28cc50d328c6b384142310e9721b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const F&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::f_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00263">263</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
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+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::M_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00271">271</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
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+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::ostream* <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::msgs_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00269">269</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
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+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::N_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00270">270</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
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+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::size_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00272">272</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
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+template&lt;typename F &gt; </div>
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+        <tr>
+          <td class="memname">const std::vector&lt;double&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::theta_dbl_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00266">266</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
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+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;double&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::x_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00267">267</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
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+<a class="anchor" id="ada8b248f756fe67a56635aeedd546386"></a>
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+<div class="memproto">
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+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;int&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::x_int_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00268">268</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
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+<a class="anchor" id="aa7ccd9be4ab9be8769513a3deef42c6c"></a>
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+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;<a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::y0_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00264">264</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a727d49ad4fc2fdede1cce76919940f8d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;double&gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, double &gt;::y0_dbl_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00265">265</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/arr/functor/<a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae9edecb8350c8aefd15c59c7e476e87d">coupled_ode_system</a>(const F &amp;f, const std::vector&lt; stan::math::var &gt; &amp;y0, const std::vector&lt; stan::math::var &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ac07a596c9b7dbac47dbe7e6c1310d560">decouple_states</a>(const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#afedc7496fd5c35ba1e8325d71c8100be">f_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aa338d8c630209cd7d8d98334acfa03ba">initial_state</a>()</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#abcd5c75ee971a0346ce26db1fb99d8f2">M_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a06205d852a2e980e30107a290f9e5876">msgs_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a27a807c37bfbd4c8f0b9fd8674c26d51">N_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aaeeda24d0c36ffb66a27144aff0665c1">operator()</a>(const std::vector&lt; double &gt; &amp;z, std::vector&lt; double &gt; &amp;dz_dt, double t)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a1ff2fd5ed7f65a31079b8ad3fa931bda">size</a>() const </td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a98451e6ddfb64254c8bfbc6a6f4055a9">size_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a25abbeca623eef4288f891dad5f9aef4">theta_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae43208e9fea0c6f456f1e28611109ac8">theta_dbl_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aab54fc7a8d0427f32fccc3dcf16fa616">x_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a0330e9773cc8d53aa0c0696e5ce731dd">x_int_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae3694159ee6e355b556004bfbc850411">y0_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a6774f7c0364f4787224bcb2bdab839f9">y0_dbl_</a></td><td class="entry"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html">stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</a></td><td class="entry"></td></tr>
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diff --git a/doc/api/html/structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html b/doc/api/html/structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html
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+<a href="#pub-methods">Public Member Functions</a> &#124;
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+<a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
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+<p>The coupled ode system for unknown intial values and unknown parameters.  
+ <a href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
+Public Member Functions</h2></td></tr>
+<tr class="memitem:ae9edecb8350c8aefd15c59c7e476e87d"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae9edecb8350c8aefd15c59c7e476e87d">coupled_ode_system</a> (const F &amp;f, const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;y0, const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;theta, const std::vector&lt; double &gt; &amp;x, const std::vector&lt; int &gt; &amp;x_int, std::ostream *msgs)</td></tr>
+<tr class="memdesc:ae9edecb8350c8aefd15c59c7e476e87d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct a coupled ODE system with unknown initial value and known parameters, given the base ODE system functor, the initial state of the base ODE, the parameters, data, and an output stream to which to write messages.  <a href="#ae9edecb8350c8aefd15c59c7e476e87d">More...</a><br /></td></tr>
+<tr class="separator:ae9edecb8350c8aefd15c59c7e476e87d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aaeeda24d0c36ffb66a27144aff0665c1"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aaeeda24d0c36ffb66a27144aff0665c1">operator()</a> (const std::vector&lt; double &gt; &amp;z, std::vector&lt; double &gt; &amp;dz_dt, double t)</td></tr>
+<tr class="memdesc:aaeeda24d0c36ffb66a27144aff0665c1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Populates the derivative vector with derivatives of the coupled ODE system state with respect to time evaluated at the specified state and specified time.  <a href="#aaeeda24d0c36ffb66a27144aff0665c1">More...</a><br /></td></tr>
+<tr class="separator:aaeeda24d0c36ffb66a27144aff0665c1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a1ff2fd5ed7f65a31079b8ad3fa931bda"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a1ff2fd5ed7f65a31079b8ad3fa931bda">size</a> () const </td></tr>
+<tr class="memdesc:a1ff2fd5ed7f65a31079b8ad3fa931bda"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the size of the coupled system.  <a href="#a1ff2fd5ed7f65a31079b8ad3fa931bda">More...</a><br /></td></tr>
+<tr class="separator:a1ff2fd5ed7f65a31079b8ad3fa931bda"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aa338d8c630209cd7d8d98334acfa03ba"><td class="memItemLeft" align="right" valign="top">std::vector&lt; double &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aa338d8c630209cd7d8d98334acfa03ba">initial_state</a> ()</td></tr>
+<tr class="memdesc:aa338d8c630209cd7d8d98334acfa03ba"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the initial state of the coupled system.  <a href="#aa338d8c630209cd7d8d98334acfa03ba">More...</a><br /></td></tr>
+<tr class="separator:aa338d8c630209cd7d8d98334acfa03ba"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ac07a596c9b7dbac47dbe7e6c1310d560"><td class="memItemLeft" align="right" valign="top">std::vector&lt; std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ac07a596c9b7dbac47dbe7e6c1310d560">decouple_states</a> (const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;y)</td></tr>
+<tr class="memdesc:ac07a596c9b7dbac47dbe7e6c1310d560"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the basic ODE solutions given the specified coupled system solutions, including the partials versus the parameters encoded in the autodiff results.  <a href="#ac07a596c9b7dbac47dbe7e6c1310d560">More...</a><br /></td></tr>
+<tr class="separator:ac07a596c9b7dbac47dbe7e6c1310d560"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
+Public Attributes</h2></td></tr>
+<tr class="memitem:afedc7496fd5c35ba1e8325d71c8100be"><td class="memItemLeft" align="right" valign="top">const F &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#afedc7496fd5c35ba1e8325d71c8100be">f_</a></td></tr>
+<tr class="separator:afedc7496fd5c35ba1e8325d71c8100be"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae3694159ee6e355b556004bfbc850411"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae3694159ee6e355b556004bfbc850411">y0_</a></td></tr>
+<tr class="separator:ae3694159ee6e355b556004bfbc850411"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6774f7c0364f4787224bcb2bdab839f9"><td class="memItemLeft" align="right" valign="top">std::vector&lt; double &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a6774f7c0364f4787224bcb2bdab839f9">y0_dbl_</a></td></tr>
+<tr class="separator:a6774f7c0364f4787224bcb2bdab839f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a25abbeca623eef4288f891dad5f9aef4"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a25abbeca623eef4288f891dad5f9aef4">theta_</a></td></tr>
+<tr class="separator:a25abbeca623eef4288f891dad5f9aef4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae43208e9fea0c6f456f1e28611109ac8"><td class="memItemLeft" align="right" valign="top">std::vector&lt; double &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#ae43208e9fea0c6f456f1e28611109ac8">theta_dbl_</a></td></tr>
+<tr class="separator:ae43208e9fea0c6f456f1e28611109ac8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:aab54fc7a8d0427f32fccc3dcf16fa616"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; double &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#aab54fc7a8d0427f32fccc3dcf16fa616">x_</a></td></tr>
+<tr class="separator:aab54fc7a8d0427f32fccc3dcf16fa616"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0330e9773cc8d53aa0c0696e5ce731dd"><td class="memItemLeft" align="right" valign="top">const std::vector&lt; int &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a0330e9773cc8d53aa0c0696e5ce731dd">x_int_</a></td></tr>
+<tr class="separator:a0330e9773cc8d53aa0c0696e5ce731dd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a27a807c37bfbd4c8f0b9fd8674c26d51"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a27a807c37bfbd4c8f0b9fd8674c26d51">N_</a></td></tr>
+<tr class="separator:a27a807c37bfbd4c8f0b9fd8674c26d51"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:abcd5c75ee971a0346ce26db1fb99d8f2"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#abcd5c75ee971a0346ce26db1fb99d8f2">M_</a></td></tr>
+<tr class="separator:abcd5c75ee971a0346ce26db1fb99d8f2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a98451e6ddfb64254c8bfbc6a6f4055a9"><td class="memItemLeft" align="right" valign="top">const size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a98451e6ddfb64254c8bfbc6a6f4055a9">size_</a></td></tr>
+<tr class="separator:a98451e6ddfb64254c8bfbc6a6f4055a9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a06205d852a2e980e30107a290f9e5876"><td class="memItemLeft" align="right" valign="top">std::ostream *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a06205d852a2e980e30107a290f9e5876">msgs_</a></td></tr>
+<tr class="separator:a06205d852a2e980e30107a290f9e5876"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F&gt;<br />
+struct stan::math::coupled_ode_system&lt; F, stan::math::var, stan::math::var &gt;</h3>
+
+<p>The coupled ode system for unknown intial values and unknown parameters. </p>
+<p>The coupled system has N + N * (N + M) states, where N is size of the base ODE state vector and M is the number of parameters.</p>
+<p>The first N states correspond to the base system's N states: <img class="formulaInl" alt="$ \frac{d x_n}{dt} $" src="form_206.png"/></p>
+<p>The next N+M states correspond to the sensitivities of the initial conditions, then to the parameters with respect to the to the first base system equation:</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{d x_{N + n}}{dt} = \frac{d}{dt} \frac{\partial x_1}{\partial y0_n} \]" src="form_209.png"/>
+</p>
+<p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \frac{d x_{N+N+m}}{dt} = \frac{d}{dt} \frac{\partial x_1}{\partial \theta_m} \]" src="form_210.png"/>
+</p>
+<p>The next N+M states correspond to the sensitivities with respect to the second base system equation, etc.</p>
+<p>If the original ode has a state vector of size N states and a parameter vector of size M, the coupled system has N + N * (N</p><ul>
+<li>M) states. (derivatives of each state with respect to each initial value and each theta)</li>
+</ul>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">F</td><td>the functor for the base ode system </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00474">474</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ae9edecb8350c8aefd15c59c7e476e87d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::<a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">coupled_ode_system</a> </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>f</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y0</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt; &amp;&#160;</td>
+          <td class="paramname"><em>theta</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const std::vector&lt; int &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x_int</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::ostream *&#160;</td>
+          <td class="paramname"><em>msgs</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Construct a coupled ODE system with unknown initial value and known parameters, given the base ODE system functor, the initial state of the base ODE, the parameters, data, and an output stream to which to write messages. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">f</td><td>the base ode system functor. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">y0</td><td>the initial state of the base ode. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">theta</td><td>parameters of the base ode. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>real data. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">x_int</td><td>integer data. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">msgs</td><td>output stream to which to print messages. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00500">500</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="ac07a596c9b7dbac47dbe7e6c1310d560"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;std::vector&lt;<a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&gt; &gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::decouple_states </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; std::vector&lt; double &gt; &gt; &amp;&#160;</td>
+          <td class="paramname"><em>y</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the basic ODE solutions given the specified coupled system solutions, including the partials versus the parameters encoded in the autodiff results. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">y</td><td>the vector of the coupled states after solving the ode </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00627">627</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa338d8c630209cd7d8d98334acfa03ba"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;double&gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::initial_state </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the initial state of the coupled system. </p>
+<p>Because the initial state is unknown, the coupled system incorporates the initial condition offset from zero as a parameter, and hence the return of this function is a vector of zeros.</p>
+<dl class="section return"><dt>Returns</dt><dd>the initial condition of the coupled system. This is a vector of length <a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a1ff2fd5ed7f65a31079b8ad3fa931bda" title="Returns the size of the coupled system. ">size()</a> where all elements are 0. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00615">615</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aaeeda24d0c36ffb66a27144aff0665c1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">void <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::operator() </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>z</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; double &gt; &amp;&#160;</td>
+          <td class="paramname"><em>dz_dt</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>t</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Populates the derivative vector with derivatives of the coupled ODE system state with respect to time evaluated at the specified state and specified time. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramdir">[in]</td><td class="paramname">z</td><td>the current state of the coupled, shifted ode system, of size <code><a class="el" href="structstan_1_1math_1_1coupled__ode__system_3_01_f_00_01stan_1_1math_1_1var_00_01stan_1_1math_1_1var_01_4.html#a1ff2fd5ed7f65a31079b8ad3fa931bda" title="Returns the size of the coupled system. ">size()</a></code>. </td></tr>
+    <tr><td class="paramdir">[in,out]</td><td class="paramname">dz_dt</td><td>populate with the derivatives of the coupled system evaluated at the specified state and time. </td></tr>
+    <tr><td class="paramdir">[in]</td><td class="paramname">t</td><td>time. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="exception"><dt>Exceptions</dt><dd>
+  <table class="exception">
+    <tr><td class="paramname">exception</td><td>if the base system does not return a derivative vector of the same size as the state vector.</td></tr>
+  </table>
+  </dd>
+</dl>
+<p>y is the base ODE system state </p>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00540">540</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1ff2fd5ed7f65a31079b8ad3fa931bda"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::size </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Returns the size of the coupled system. </p>
+<dl class="section return"><dt>Returns</dt><dd>size of the coupled system. </dd></dl>
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00600">600</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="afedc7496fd5c35ba1e8325d71c8100be"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const F&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::f_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00475">475</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abcd5c75ee971a0346ce26db1fb99d8f2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::M_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00483">483</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a06205d852a2e980e30107a290f9e5876"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::ostream* <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::msgs_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00485">485</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a27a807c37bfbd4c8f0b9fd8674c26d51"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::N_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00482">482</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a98451e6ddfb64254c8bfbc6a6f4055a9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const size_t <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::size_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00484">484</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a25abbeca623eef4288f891dad5f9aef4"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;<a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::theta_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00478">478</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae43208e9fea0c6f456f1e28611109ac8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;double&gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::theta_dbl_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00479">479</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aab54fc7a8d0427f32fccc3dcf16fa616"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;double&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::x_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00480">480</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0330e9773cc8d53aa0c0696e5ce731dd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;int&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::x_int_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00481">481</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae3694159ee6e355b556004bfbc850411"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">const std::vector&lt;<a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>&gt;&amp; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::y0_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00476">476</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6774f7c0364f4787224bcb2bdab839f9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">std::vector&lt;double&gt; <a class="el" href="structstan_1_1math_1_1coupled__ode__system.html">stan::math::coupled_ode_system</a>&lt; F, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a>, <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::y0_dbl_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html#l00477">477</a> of file <a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/arr/functor/<a class="el" href="rev_2arr_2functor_2coupled__ode__system_8hpp_source.html">coupled_ode_system.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math_1_1detail.html">detail</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1detail_1_1bounded.html">bounded</a></li>  </ul>
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+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1detail_1_1bounded.html">stan::math::detail::bounded&lt; T_y, T_low, T_high, y_is_vec &gt;</a>, including all inherited members.</p>
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </span>
+</div>
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+<title>Stan Math Library: stan::math::detail::bounded&lt; T_y, T_low, T_high, y_is_vec &gt; Struct Template Reference</title>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math_1_1detail.html">detail</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1detail_1_1bounded.html">bounded</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1detail_1_1bounded-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::detail::bounded&lt; T_y, T_low, T_high, y_is_vec &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">check_bounded.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:aacb059ebca7a577b043db54f9f79cc9f"><td class="memItemLeft" align="right" valign="top">static bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1detail_1_1bounded.html#aacb059ebca7a577b043db54f9f79cc9f">check</a> (const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</td></tr>
+<tr class="separator:aacb059ebca7a577b043db54f9f79cc9f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T_y, typename T_low, typename T_high, bool y_is_vec&gt;<br />
+struct stan::math::detail::bounded&lt; T_y, T_low, T_high, y_is_vec &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="check__bounded_8hpp_source.html#l00024">24</a> of file <a class="el" href="check__bounded_8hpp_source.html">check_bounded.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="aacb059ebca7a577b043db54f9f79cc9f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_low , typename T_high , bool y_is_vec&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static bool <a class="el" href="structstan_1_1math_1_1detail_1_1bounded.html">stan::math::detail::bounded</a>&lt; T_y, T_low, T_high, y_is_vec &gt;::check </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_low &amp;&#160;</td>
+          <td class="paramname"><em>low</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_high &amp;&#160;</td>
+          <td class="paramname"><em>high</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="check__bounded_8hpp_source.html#l00025">25</a> of file <a class="el" href="check__bounded_8hpp_source.html">check_bounded.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/err/<a class="el" href="check__bounded_8hpp_source.html">check_bounded.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+</div>
+</div><!-- top -->
+<div class="header">
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+<div class="title">stan::math::detail::bounded&lt; T_y, T_low, T_high, true &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html">stan::math::detail::bounded&lt; T_y, T_low, T_high, true &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html#afd17ed95a354d3786d35986021c2f559">check</a>(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html">stan::math::detail::bounded&lt; T_y, T_low, T_high, true &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html b/doc/api/html/structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: stan::math::detail::bounded&lt; T_y, T_low, T_high, true &gt; Struct Template Reference</title>
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+<script type="text/javascript" src="jquery.js"></script>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math_1_1detail.html">detail</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html">bounded&lt; T_y, T_low, T_high, true &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::detail::bounded&lt; T_y, T_low, T_high, true &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">check_bounded.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:afd17ed95a354d3786d35986021c2f559"><td class="memItemLeft" align="right" valign="top">static bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1detail_1_1bounded_3_01_t__y_00_01_t__low_00_01_t__high_00_01true_01_4.html#afd17ed95a354d3786d35986021c2f559">check</a> (const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</td></tr>
+<tr class="separator:afd17ed95a354d3786d35986021c2f559"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T_y, typename T_low, typename T_high&gt;<br />
+struct stan::math::detail::bounded&lt; T_y, T_low, T_high, true &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="check__bounded_8hpp_source.html#l00049">49</a> of file <a class="el" href="check__bounded_8hpp_source.html">check_bounded.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="afd17ed95a354d3786d35986021c2f559"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T_y , typename T_low , typename T_high &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static bool <a class="el" href="structstan_1_1math_1_1detail_1_1bounded.html">stan::math::detail::bounded</a>&lt; T_y, T_low, T_high, true &gt;::check </td>
+          <td>(</td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>function</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const char *&#160;</td>
+          <td class="paramname"><em>name</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_y &amp;&#160;</td>
+          <td class="paramname"><em>y</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_low &amp;&#160;</td>
+          <td class="paramname"><em>low</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const T_high &amp;&#160;</td>
+          <td class="paramname"><em>high</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="check__bounded_8hpp_source.html#l00050">50</a> of file <a class="el" href="check__bounded_8hpp_source.html">check_bounded.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/err/<a class="el" href="check__bounded_8hpp_source.html">check_bounded.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1dummy.html b/doc/api/html/structstan_1_1math_1_1dummy.html
new file mode 100644
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+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::dummy Struct Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Empty struct for use in boost::condtional&lt;<a class="el" href="structstan_1_1is__constant__struct.html" title="Metaprogram to determine if a type has a base scalar type that can be assigned to type double...">is_constant_struct</a>&lt;T1&gt;::value, T1, dummy&gt;::type as false condtion for safe indexing.  
+ <a href="structstan_1_1math_1_1dummy.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a>&gt;</code></p>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Empty struct for use in boost::condtional&lt;<a class="el" href="structstan_1_1is__constant__struct.html" title="Metaprogram to determine if a type has a base scalar type that can be assigned to type double...">is_constant_struct</a>&lt;T1&gt;::value, T1, dummy&gt;::type as false condtion for safe indexing. </p>
+
+<p>Definition at line <a class="el" href="scal_2meta_2container__view_8hpp_source.html#l00053">53</a> of file <a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a>.</p>
+</div><hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2container__view_8hpp_source.html">container_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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new file mode 100644
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::fvar&lt; T &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt; T &gt;</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1fvar.html#a9b2feee9256c7d918fc9773ca228283b">operator*=</a>(const fvar&lt; T &gt; &amp;x2)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt; T &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1fvar.html#ac3d87dc556498952498b6d1c1dcbe204">operator++</a>()</td><td class="entry"><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar&lt; T &gt;</a></td><td class="entry"><span class="mlabel">inline</span></td></tr>
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+<div class="title">stan::math::fvar&lt; T &gt; Struct Template Reference</div>  </div>
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+<p><code>#include &lt;<a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>&gt;</code></p>
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+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00013">13</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
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+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a> <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::<a class="el" href="structstan_1_1math_1_1fvar.html#ad8078e30a3897fdf9988f8a96bba3704">value_type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00020">20</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
+<a class="anchor" id="ae4c326ef0c87161eca2431e8698664c2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a> </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00022">22</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a923f4b28c579d63838897b7199af0b9d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a> </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00024">24</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a309b11ed4f7f0b807e5a99ffe4544624"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<div class="memtemplate">
+template&lt;typename TV , typename TD &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a> </td>
+          <td>(</td>
+          <td class="paramtype">const TV &amp;&#160;</td>
+          <td class="paramname"><em>val</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const TD &amp;&#160;</td>
+          <td class="paramname"><em>deriv</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00030">30</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9d15782da37b06ece7d293c94e0150a3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<div class="memtemplate">
+template&lt;typename TV &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::<a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a> </td>
+          <td>(</td>
+          <td class="paramtype">const TV &amp;&#160;</td>
+          <td class="paramname"><em>val</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00037">37</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a9b2feee9256c7d918fc9773ca228283b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;&amp; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator*= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00076">76</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abd9f85bd70a9b6fa3dc107794cec3ca1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;&amp; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator*= </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x2</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00084">84</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac3d87dc556498952498b6d1c1dcbe204"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;&amp; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator++ </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00110">110</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a248def528083576a747b27ea46452040"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator++ </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00117">117</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a2e8ed7892827b43ec62736e8999bafd5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;&amp; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator+= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00046">46</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acae80a3166aa968368a99ba92e7bad19"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;&amp; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator+= </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x2</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00054">54</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a08587bd5322f627971294a39b0444bf3"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;&amp; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator-- </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00125">125</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acf9a3dcefdc0dd474caa41285435cf0b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator-- </td>
+          <td>(</td>
+          <td class="paramtype">int&#160;</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00131">131</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab4b948b7db1f825efd3e86acc2f19ec6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;&amp; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator-= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00061">61</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a903c6290c55fce2413d4b3528456aaca"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;&amp; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator-= </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x2</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00069">69</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="adb1aa48e4920de7b5bdba267aa2a175f"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;&amp; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator/= </td>
+          <td>(</td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x2</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00094">94</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a3c292c2e417a54f690fc9f66b4d10ccd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt;T&gt;&amp; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::operator/= </td>
+          <td>(</td>
+          <td class="paramtype">double&#160;</td>
+          <td class="paramname"><em>x2</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00102">102</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
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+</div>
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+<a class="anchor" id="a77961c425581e421a7fa441a7812d468"></a>
+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">T <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::tangent </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00018">18</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
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+  <td class="mlabels-left">
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+          <td class="memname">T <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::val </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td> const</td>
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+<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
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+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00017">17</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Friends And Related Function Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
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+      <table class="memname">
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+          <td class="memname">std::ostream&amp; operator&lt;&lt; </td>
+          <td>(</td>
+          <td class="paramtype">std::ostream &amp;&#160;</td>
+          <td class="paramname"><em>os</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="el" href="structstan_1_1math_1_1fvar.html">fvar</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>v</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">friend</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00139">139</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a8478b986831654e68268036549d4489c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">T <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::d_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00015">15</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
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+<a class="anchor" id="a5d2e56f89a8dec57599a7d3e62e5e256"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+      <table class="memname">
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+          <td class="memname">T <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt;::val_</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fvar_8hpp_source.html#l00014">14</a> of file <a class="el" href="fvar_8hpp_source.html">fvar.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/fwd/core/<a class="el" href="fvar_8hpp_source.html">fvar.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+        name="MSearchResults" id="MSearchResults">
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1include__summand.html">include_summand</a></li>  </ul>
+</div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::include_summand&lt; propto, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10 &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand&lt; propto, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10 &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1include__summand.html#a4939e99ce237b48d484d456109de6a91a0a929ac9c4eba12a434fa5b035093df9">value</a> enum value</td><td class="entry"><a class="el" href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand&lt; propto, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10 &gt;</a></td><td class="entry"></td></tr>
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+  <span style="float:left; margin=0 1em 0 1em;">
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
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+  &nbsp;&nbsp;&nbsp;&nbsp;
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diff --git a/doc/api/html/structstan_1_1math_1_1include__summand.html b/doc/api/html/structstan_1_1math_1_1include__summand.html
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1include__summand.html">include_summand</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1include__summand-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::include_summand&lt; propto, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10 &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram to calculate whether a summand needs to be included in a proportional (log) probability calculation.  
+ <a href="structstan_1_1math_1_1include__summand.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">include_summand.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a4939e99ce237b48d484d456109de6a91"><td class="memItemLeft" align="right" valign="top">enum &#160;</td><td class="memItemRight" valign="bottom">{ <a class="el" href="structstan_1_1math_1_1include__summand.html#a4939e99ce237b48d484d456109de6a91a0a929ac9c4eba12a434fa5b035093df9">value</a>
+ }<tr class="memdesc:a4939e99ce237b48d484d456109de6a91"><td class="mdescLeft">&#160;</td><td class="mdescRight"><code>true</code> if a term with the specified propto value and subterm types should be included in a proportionality calculation.  <a href="structstan_1_1math_1_1include__summand.html#a4939e99ce237b48d484d456109de6a91">More...</a><br /></td></tr>
+<tr class="separator:a4939e99ce237b48d484d456109de6a91"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;bool propto, typename T1 = double, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double, typename T7 = double, typename T8 = double, typename T9 = double, typename T10 = double&gt;<br />
+struct stan::math::include_summand&lt; propto, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10 &gt;</h3>
+
+<p>Template metaprogram to calculate whether a summand needs to be included in a proportional (log) probability calculation. </p>
+<p>For usage, the first boolean parameter should be set to <code>true</code> if calculating a term up to proportionality. Other type parameters should be included for all of the types of variables in a term.</p>
+<p>The <code>value</code> enum will be <code>true</code> if the <code>propto</code> parameter is <code>false</code> or if any of the other template arguments are not constants as defined by <code>stan::is_constant&lt;T&gt;</code>.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">propto</td><td><code>true</code> if calculating up to a proportionality constant. </td></tr>
+    <tr><td class="paramname">T1</td><td>First </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="include__summand_8hpp_source.html#l00036">36</a> of file <a class="el" href="include__summand_8hpp_source.html">include_summand.hpp</a>.</p>
+</div><h2 class="groupheader">Member Enumeration Documentation</h2>
+<a class="anchor" id="a4939e99ce237b48d484d456109de6a91"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;bool propto, typename T1  = double, typename T2  = double, typename T3  = double, typename T4  = double, typename T5  = double, typename T6  = double, typename T7  = double, typename T8  = double, typename T9  = double, typename T10  = double&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">anonymous enum</td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p><code>true</code> if a term with the specified propto value and subterm types should be included in a proportionality calculation. </p>
+<table class="fieldtable">
+<tr><th colspan="2">Enumerator</th></tr><tr><td class="fieldname"><a class="anchor" id="a4939e99ce237b48d484d456109de6a91a0a929ac9c4eba12a434fa5b035093df9"></a>value&#160;</td><td class="fielddoc">
+</td></tr>
+</table>
+
+<p>Definition at line <a class="el" href="include__summand_8hpp_source.html#l00042">42</a> of file <a class="el" href="include__summand_8hpp_source.html">include_summand.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="include__summand_8hpp_source.html">include_summand.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">stan::math::index_type&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Primary template class for the metaprogram to compute the index type of a container.  
+ <a href="structstan_1_1math_1_1index__type.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2index__type_8hpp_source.html">index_type.hpp</a>&gt;</code></p>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::index_type&lt; T &gt;</h3>
+
+<p>Primary template class for the metaprogram to compute the index type of a container. </p>
+<p>Only the specializations have behavior that can be used, and all implement a typedef <code>type</code> for the type of the index given container <code>T</code>.</p>
+<p>tparam T type of container. </p>
+
+<p>Definition at line <a class="el" href="scal_2meta_2index__type_8hpp_source.html#l00019">19</a> of file <a class="el" href="scal_2meta_2index__type_8hpp_source.html">index_type.hpp</a>.</p>
+</div><hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2index__type_8hpp_source.html">index_type.hpp</a></li>
+</ul>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+</div>
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html">index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html">stan::math::index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a24d56619b29f61d9addb42dd8df1cdf1">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html">stan::math::index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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diff --git a/doc/api/html/structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html
new file mode 100644
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html">index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram defining typedef for the type of index for an <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix, vector, or row vector.  
+ <a href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">index_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a24d56619b29f61d9addb42dd8df1cdf1"><td class="memItemLeft" align="right" valign="top">typedef Eigen::Matrix&lt; T, R, C &gt;::Index&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a24d56619b29f61d9addb42dd8df1cdf1">type</a></td></tr>
+<tr class="separator:a24d56619b29f61d9addb42dd8df1cdf1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, int R, int C&gt;<br />
+struct stan::math::index_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</h3>
+
+<p>Template metaprogram defining typedef for the type of index for an <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix, vector, or row vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of matrix. </td></tr>
+    <tr><td class="paramname">R</td><td>number of rows for matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>number of columns for matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2meta_2index__type_8hpp_source.html#l00020">20</a> of file <a class="el" href="mat_2meta_2index__type_8hpp_source.html">index_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a24d56619b29f61d9addb42dd8df1cdf1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;T, R, C&gt;::Index <a class="el" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;::<a class="el" href="structstan_1_1math_1_1index__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a24d56619b29f61d9addb42dd8df1cdf1">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2meta_2index__type_8hpp_source.html#l00021">21</a> of file <a class="el" href="mat_2meta_2index__type_8hpp_source.html">index_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2index__type_8hpp_source.html">index_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1index__type_3_01const_01_t_01_4-members.html b/doc/api/html/structstan_1_1math_1_1index__type_3_01const_01_t_01_4-members.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+  <span style="float:left; margin=0 1em 0 1em;">
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diff --git a/doc/api/html/structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html b/doc/api/html/structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::index_type&lt; const T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
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+<p>Template class for metaprogram to compute the type of indexes used in a constant container type.  
+ <a href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2index__type_8hpp_source.html">index_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a7967da72eaf9cec3dafcbeb8214ec209"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1math_1_1index__type.html">index_type</a>&lt; T &gt;::<a class="el" href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html#a7967da72eaf9cec3dafcbeb8214ec209">type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html#a7967da72eaf9cec3dafcbeb8214ec209">type</a></td></tr>
+<tr class="separator:a7967da72eaf9cec3dafcbeb8214ec209"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::index_type&lt; const T &gt;</h3>
+
+<p>Template class for metaprogram to compute the type of indexes used in a constant container type. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of container without const modifier. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2index__type_8hpp_source.html#l00030">30</a> of file <a class="el" href="scal_2meta_2index__type_8hpp_source.html">index_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a7967da72eaf9cec3dafcbeb8214ec209"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="structstan_1_1math_1_1index__type.html">index_type</a>&lt;T&gt;::<a class="el" href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html#a7967da72eaf9cec3dafcbeb8214ec209">type</a> <a class="el" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>&lt; const T &gt;::<a class="el" href="structstan_1_1math_1_1index__type_3_01const_01_t_01_4.html#a7967da72eaf9cec3dafcbeb8214ec209">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2index__type_8hpp_source.html#l00031">31</a> of file <a class="el" href="scal_2meta_2index__type_8hpp_source.html">index_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2index__type_8hpp_source.html">index_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
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+  <div class="headertitle">
+<div class="title">stan::math::index_type&lt; std::vector&lt; T &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::index_type&lt; std::vector&lt; T &gt; &gt;</a>, including all inherited members.</p>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::index_type&lt; std::vector&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram class to compute the type of index for a standard vector.  
+ <a href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="arr_2meta_2index__type_8hpp_source.html">index_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:ababf4dcdf4c61050637f7a5efc94429c"><td class="memItemLeft" align="right" valign="top">typedef std::vector&lt; T &gt;::<a class="el" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#ababf4dcdf4c61050637f7a5efc94429c">type</a></td></tr>
+<tr class="memdesc:ababf4dcdf4c61050637f7a5efc94429c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Typedef for index of standard vectors.  <a href="#ababf4dcdf4c61050637f7a5efc94429c">More...</a><br /></td></tr>
+<tr class="separator:ababf4dcdf4c61050637f7a5efc94429c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::index_type&lt; std::vector&lt; T &gt; &gt;</h3>
+
+<p>Template metaprogram class to compute the type of index for a standard vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of elements in standard vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="arr_2meta_2index__type_8hpp_source.html#l00018">18</a> of file <a class="el" href="arr_2meta_2index__type_8hpp_source.html">index_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="ababf4dcdf4c61050637f7a5efc94429c"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef std::vector&lt;T&gt;::<a class="el" href="namespacestan_1_1math.html#a98ff1baf06b8c5e2fc241bba99d0a97d">size_type</a> <a class="el" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>&lt; std::vector&lt; T &gt; &gt;::<a class="el" href="structstan_1_1math_1_1index__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#ababf4dcdf4c61050637f7a5efc94429c">type</a></td>
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+<p>Typedef for index of standard vectors. </p>
+
+<p>Definition at line <a class="el" href="arr_2meta_2index__type_8hpp_source.html#l00022">22</a> of file <a class="el" href="arr_2meta_2index__type_8hpp_source.html">index_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/arr/meta/<a class="el" href="arr_2meta_2index__type_8hpp_source.html">index_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div>
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+<div class="title">stan::math::pass_type&lt; T &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1pass__type.html">stan::math::pass_type&lt; T &gt;</a>, including all inherited members.</p>
+<table class="directory">
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+</table></div><!-- contents -->
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1pass__type-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::pass_type&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:aaf902ad0b26acab6888195ed0b528ec5"><td class="memItemLeft" align="right" valign="top">typedef const T &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1pass__type.html#aaf902ad0b26acab6888195ed0b528ec5">type</a></td></tr>
+<tr class="separator:aaf902ad0b26acab6888195ed0b528ec5"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::pass_type&lt; T &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00027">27</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="aaf902ad0b26acab6888195ed0b528ec5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef const T&amp; <a class="el" href="structstan_1_1math_1_1pass__type.html">stan::math::pass_type</a>&lt; T &gt;::<a class="el" href="structstan_1_1math_1_1pass__type.html#aaf902ad0b26acab6888195ed0b528ec5">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00028">28</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<a href="#pub-types">Public Types</a> &#124;
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+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
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+<tr class="memitem:adee94e36436cf8e5628e961330047738"><td class="memItemLeft" align="right" valign="top">typedef double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1pass__type_3_01double_01_4.html#adee94e36436cf8e5628e961330047738">type</a></td></tr>
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+struct stan::math::pass_type&lt; double &gt;</h3>
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+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00031">31</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00032">32</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
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+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
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+</div>
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+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1pass__type_3_01int_01_4.html">pass_type&lt; int &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1pass__type_3_01int_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::pass_type&lt; int &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a6e1bfc775f016451ab261ecede07402c"><td class="memItemLeft" align="right" valign="top">typedef int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1pass__type_3_01int_01_4.html#a6e1bfc775f016451ab261ecede07402c">type</a></td></tr>
+<tr class="separator:a6e1bfc775f016451ab261ecede07402c"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;&gt;<br />
+struct stan::math::pass_type&lt; int &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00035">35</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a6e1bfc775f016451ab261ecede07402c"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef int <a class="el" href="structstan_1_1math_1_1pass__type.html">stan::math::pass_type</a>&lt; int &gt;::<a class="el" href="structstan_1_1math_1_1pass__type_3_01int_01_4.html#a6e1bfc775f016451ab261ecede07402c">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00036">36</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">promote_scalar_struct</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_struct&lt; T, S &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">stan::math::promote_scalar_struct&lt; T, S &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html#a2910fcfa6312889570ddaf88b1c3b54f">apply</a>(S x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">stan::math::promote_scalar_struct&lt; T, S &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__struct.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__struct.html
new file mode 100644
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+<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">promote_scalar_struct</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promote__scalar__struct-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_struct&lt; T, S &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>General struct to hold static function for promoting underlying scalar types.  
+ <a href="structstan_1_1math_1_1promote__scalar__struct.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a2910fcfa6312889570ddaf88b1c3b54f"><td class="memItemLeft" align="right" valign="top">static T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html#a2910fcfa6312889570ddaf88b1c3b54f">apply</a> (S x)</td></tr>
+<tr class="memdesc:a2910fcfa6312889570ddaf88b1c3b54f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the value of the input argument promoted to the type specified by the template parameter.  <a href="#a2910fcfa6312889570ddaf88b1c3b54f">More...</a><br /></td></tr>
+<tr class="separator:a2910fcfa6312889570ddaf88b1c3b54f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+struct stan::math::promote_scalar_struct&lt; T, S &gt;</h3>
+
+<p>General struct to hold static function for promoting underlying scalar types. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>return type of nested static function. </td></tr>
+    <tr><td class="paramname">S</td><td>input type for nested static function, whose underlying scalar type must be assignable to T. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html#l00019">19</a> of file <a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a2910fcfa6312889570ddaf88b1c3b54f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static T <a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">stan::math::promote_scalar_struct</a>&lt; T, S &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">S&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the value of the input argument promoted to the type specified by the template parameter. </p>
+<p>This is the base case for mismatching template parameter types in which the underlying scalar type of template parameter <code>S</code> is assignable to type <code>T</code>.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input of type S. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>input promoted to have scalars of type T. </dd></dl>
+
+<p>Definition at line <a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html#l00031">31</a> of file <a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/fun/<a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4-members.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4-members.html
new file mode 100644
index 00000000000..88d4d2622b8
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
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+</div>
+</div><!-- top -->
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+  <div class="headertitle">
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+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1,-1 &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html#a1fb52f1fc9db8b4c3679035da9d6317e">apply</a>(const Eigen::Matrix&lt; S,-1,-1 &gt; &amp;x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1,-1 &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
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diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1,-1 &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Struct to hold static function for promoting underlying scalar types.  
+ <a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a1fb52f1fc9db8b4c3679035da9d6317e"><td class="memItemLeft" align="right" valign="top">static Eigen::Matrix&lt; typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt; T, S &gt;::type,-1,-1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00-1_01_4_01_4.html#a1fb52f1fc9db8b4c3679035da9d6317e">apply</a> (const Eigen::Matrix&lt; S,-1,-1 &gt; &amp;x)</td></tr>
+<tr class="memdesc:a1fb52f1fc9db8b4c3679035da9d6317e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the matrix consisting of the recursive promotion of the elements of the input matrix to the scalar type specified by the return template parameter.  <a href="#a1fb52f1fc9db8b4c3679035da9d6317e">More...</a><br /></td></tr>
+<tr class="separator:a1fb52f1fc9db8b4c3679035da9d6317e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+struct stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1,-1 &gt; &gt;</h3>
+
+<p>Struct to hold static function for promoting underlying scalar types. </p>
+<p>This specialization is for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix inputs.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>return scalar type </td></tr>
+    <tr><td class="paramname">S</td><td>input matrix scalar type for static nested function, which must have a scalar type assignable to T </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html#l00021">21</a> of file <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a1fb52f1fc9db8b4c3679035da9d6317e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt;T, S&gt;::type, -1, -1&gt; <a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">stan::math::promote_scalar_struct</a>&lt; T, Eigen::Matrix&lt; S,-1,-1 &gt; &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; S,-1,-1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the matrix consisting of the recursive promotion of the elements of the input matrix to the scalar type specified by the return template parameter. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>matrix with values promoted from input vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html#l00031">31</a> of file <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4-members.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4-members.html
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html">promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html#a9bbd5543d696d149ab4aee5a8144fb1e">apply</a>(const Eigen::Matrix&lt; S,-1, 1 &gt; &amp;x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html">promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Struct to hold static function for promoting underlying scalar types.  
+ <a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a9bbd5543d696d149ab4aee5a8144fb1e"><td class="memItemLeft" align="right" valign="top">static Eigen::Matrix&lt; typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt; T, S &gt;::type,-1, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00-1_00_011_01_4_01_4.html#a9bbd5543d696d149ab4aee5a8144fb1e">apply</a> (const Eigen::Matrix&lt; S,-1, 1 &gt; &amp;x)</td></tr>
+<tr class="memdesc:a9bbd5543d696d149ab4aee5a8144fb1e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the row vector consisting of the recursive promotion of the elements of the input row vector to the scalar type specified by the return template parameter.  <a href="#a9bbd5543d696d149ab4aee5a8144fb1e">More...</a><br /></td></tr>
+<tr class="separator:a9bbd5543d696d149ab4aee5a8144fb1e"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+struct stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt;</h3>
+
+<p>Struct to hold static function for promoting underlying scalar types. </p>
+<p>This specialization is for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> row vector inputs.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>return scalar type </td></tr>
+    <tr><td class="paramname">S</td><td>input matrix scalar type for static nested function, which must have a scalar type assignable to T </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html#l00079">79</a> of file <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a9bbd5543d696d149ab4aee5a8144fb1e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt;T, S&gt;::type, -1, 1&gt; <a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">stan::math::promote_scalar_struct</a>&lt; T, Eigen::Matrix&lt; S,-1, 1 &gt; &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; S,-1, 1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the row vector consisting of the recursive promotion of the elements of the input row vector to the scalar type specified by the return template parameter. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input row vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>row vector with values promoted from input vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html#l00089">89</a> of file <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4-members.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4-members.html
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+</div>
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+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html#a208f0f24a10b7711e08f5e3ce0ffec9b">apply</a>(const Eigen::Matrix&lt; S, 1,-1 &gt; &amp;x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html">promote_scalar_struct&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Struct to hold static function for promoting underlying scalar types.  
+ <a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a208f0f24a10b7711e08f5e3ce0ffec9b"><td class="memItemLeft" align="right" valign="top">static Eigen::Matrix&lt; typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt; T, S &gt;::type, 1,-1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00-1_01_4_01_4.html#a208f0f24a10b7711e08f5e3ce0ffec9b">apply</a> (const Eigen::Matrix&lt; S, 1,-1 &gt; &amp;x)</td></tr>
+<tr class="memdesc:a208f0f24a10b7711e08f5e3ce0ffec9b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the column vector consisting of the recursive promotion of the elements of the input column vector to the scalar type specified by the return template parameter.  <a href="#a208f0f24a10b7711e08f5e3ce0ffec9b">More...</a><br /></td></tr>
+<tr class="separator:a208f0f24a10b7711e08f5e3ce0ffec9b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+struct stan::math::promote_scalar_struct&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt;</h3>
+
+<p>Struct to hold static function for promoting underlying scalar types. </p>
+<p>This specialization is for <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> column vector inputs.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>return scalar type </td></tr>
+    <tr><td class="paramname">S</td><td>input matrix scalar type for static nested function, which must have a scalar type assignable to T </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html#l00050">50</a> of file <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a208f0f24a10b7711e08f5e3ce0ffec9b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt;T, S&gt;::type, 1, -1&gt; <a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">stan::math::promote_scalar_struct</a>&lt; T, Eigen::Matrix&lt; S, 1,-1 &gt; &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; S, 1,-1 &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the column vector consisting of the recursive promotion of the elements of the input column vector to the scalar type specified by the return template parameter. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input column vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>column vector with values promoted from input vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html#l00060">60</a> of file <a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="mat_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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new file mode 100644
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+        name="MSearchResults" id="MSearchResults">
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html">promote_scalar_struct&lt; T, T &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_struct&lt; T, T &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html">stan::math::promote_scalar_struct&lt; T, T &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html#a355172d2e18fb6a97677cc7cbff473f6">apply</a>(const T &amp;x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html">stan::math::promote_scalar_struct&lt; T, T &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html
new file mode 100644
index 00000000000..c2dbd616a40
--- /dev/null
+++ b/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html
@@ -0,0 +1,181 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
+<meta name="generator" content="Doxygen 1.8.10"/>
+<title>Stan Math Library: stan::math::promote_scalar_struct&lt; T, T &gt; Struct Template Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
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+<table cellspacing="0" cellpadding="0">
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+        name="MSearchResults" id="MSearchResults">
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html">promote_scalar_struct&lt; T, T &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_struct&lt; T, T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Struct to hold static function for promoting underlying scalar types.  
+ <a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a355172d2e18fb6a97677cc7cbff473f6"><td class="memItemLeft" align="right" valign="top">static T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01_t_01_4.html#a355172d2e18fb6a97677cc7cbff473f6">apply</a> (const T &amp;x)</td></tr>
+<tr class="memdesc:a355172d2e18fb6a97677cc7cbff473f6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the unmodified input.  <a href="#a355172d2e18fb6a97677cc7cbff473f6">More...</a><br /></td></tr>
+<tr class="separator:a355172d2e18fb6a97677cc7cbff473f6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::promote_scalar_struct&lt; T, T &gt;</h3>
+
+<p>Struct to hold static function for promoting underlying scalar types. </p>
+<p>This specialization is for equal input and output types of function types.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>input and return type of nested static function. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html#l00044">44</a> of file <a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a355172d2e18fb6a97677cc7cbff473f6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static T <a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">stan::math::promote_scalar_struct</a>&lt; T, T &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the unmodified input. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input of type T. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>input unmodified. </dd></dl>
+
+<p>Definition at line <a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html#l00051">51</a> of file <a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/fun/<a class="el" href="scal_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
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diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4-members.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4-members.html
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_struct&lt; T, std::vector&lt; S &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html">stan::math::promote_scalar_struct&lt; T, std::vector&lt; S &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a1737468cee6801ffd1d111cf2170ac17">apply</a>(const std::vector&lt; S &gt; &amp;x)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html">stan::math::promote_scalar_struct&lt; T, std::vector&lt; S &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
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+  <span style="float:left; margin=0 1em 0 1em;">
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+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
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+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html
new file mode 100644
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html">promote_scalar_struct&lt; T, std::vector&lt; S &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_struct&lt; T, std::vector&lt; S &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Struct to hold static function for promoting underlying scalar types.  
+ <a href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="arr_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a1737468cee6801ffd1d111cf2170ac17"><td class="memItemLeft" align="right" valign="top">static std::vector&lt; typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt; T, S &gt;::type &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__struct_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a1737468cee6801ffd1d111cf2170ac17">apply</a> (const std::vector&lt; S &gt; &amp;x)</td></tr>
+<tr class="memdesc:a1737468cee6801ffd1d111cf2170ac17"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the standard vector consisting of the recursive promotion of the elements of the input standard vector to the scalar type specified by the return template parameter.  <a href="#a1737468cee6801ffd1d111cf2170ac17">More...</a><br /></td></tr>
+<tr class="separator:a1737468cee6801ffd1d111cf2170ac17"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+struct stan::math::promote_scalar_struct&lt; T, std::vector&lt; S &gt; &gt;</h3>
+
+<p>Struct to hold static function for promoting underlying scalar types. </p>
+<p>This specialization is for standard vector inputs.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>return scalar type </td></tr>
+    <tr><td class="paramname">S</td><td>input type for standard vector elements in static nested function, which must have an underlying scalar type assignable to T. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="arr_2fun_2promote__scalar_8hpp_source.html#l00022">22</a> of file <a class="el" href="arr_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a1737468cee6801ffd1d111cf2170ac17"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static std::vector&lt;typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt;T, S&gt;::type&gt; <a class="el" href="structstan_1_1math_1_1promote__scalar__struct.html">stan::math::promote_scalar_struct</a>&lt; T, std::vector&lt; S &gt; &gt;::apply </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; S &gt; &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Return the standard vector consisting of the recursive promotion of the elements of the input standard vector to the scalar type specified by the return template parameter. </p>
+<dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">x</td><td>input standard vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>standard vector with values promoted from input vector. </dd></dl>
+
+<p>Definition at line <a class="el" href="arr_2fun_2promote__scalar_8hpp_source.html#l00032">32</a> of file <a class="el" href="arr_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/arr/fun/<a class="el" href="arr_2fun_2promote__scalar_8hpp_source.html">promote_scalar.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__type-members.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__type-members.html
new file mode 100644
index 00000000000..0afe41ea6c3
--- /dev/null
+++ b/doc/api/html/structstan_1_1math_1_1promote__scalar__type-members.html
@@ -0,0 +1,115 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_type&lt; T, S &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">stan::math::promote_scalar_type&lt; T, S &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__type.html#a171ea87ee9f5562b17a34f59aaf5236d">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">stan::math::promote_scalar_type&lt; T, S &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__type.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__type.html
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1promote__scalar__type-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_type&lt; T, S &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram to calculate a type for converting a convertible type.  
+ <a href="structstan_1_1math_1_1promote__scalar__type.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a171ea87ee9f5562b17a34f59aaf5236d"><td class="memItemLeft" align="right" valign="top">typedef T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__type.html#a171ea87ee9f5562b17a34f59aaf5236d">type</a></td></tr>
+<tr class="memdesc:a171ea87ee9f5562b17a34f59aaf5236d"><td class="mdescLeft">&#160;</td><td class="mdescRight">The promoted type.  <a href="#a171ea87ee9f5562b17a34f59aaf5236d">More...</a><br /></td></tr>
+<tr class="separator:a171ea87ee9f5562b17a34f59aaf5236d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+struct stan::math::promote_scalar_type&lt; T, S &gt;</h3>
+
+<p>Template metaprogram to calculate a type for converting a convertible type. </p>
+<p>This is the base case.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>result scalar type. </td></tr>
+    <tr><td class="paramname">S</td><td>input type </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html#l00015">15</a> of file <a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a171ea87ee9f5562b17a34f59aaf5236d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T, typename S&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef T <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">stan::math::promote_scalar_type</a>&lt; T, S &gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type.html#a171ea87ee9f5562b17a34f59aaf5236d">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The promoted type. </p>
+
+<p>Definition at line <a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html#l00019">19</a> of file <a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/fun/<a class="el" href="scal_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div>
+</div><!-- top -->
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+  <div class="headertitle">
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+</div><!--header-->
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+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a73857fd39b6e343018a3bda40b7dc579">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eia6a45e8e9b504fc35f96b001b609d995.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram to calculate a type for a row vector whose underlying scalar is converted from the second template parameter type to the first.  
+ <a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a73857fd39b6e343018a3bda40b7dc579"><td class="memItemLeft" align="right" valign="top">typedef Eigen::Matrix&lt; typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt; T, S &gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a73857fd39b6e343018a3bda40b7dc579">type</a>, 1, Eigen::Dynamic &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a73857fd39b6e343018a3bda40b7dc579">type</a></td></tr>
+<tr class="memdesc:a73857fd39b6e343018a3bda40b7dc579"><td class="mdescLeft">&#160;</td><td class="mdescRight">The promoted type.  <a href="#a73857fd39b6e343018a3bda40b7dc579">More...</a><br /></td></tr>
+<tr class="separator:a73857fd39b6e343018a3bda40b7dc579"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+struct stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;</h3>
+
+<p>Template metaprogram to calculate a type for a row vector whose underlying scalar is converted from the second template parameter type to the first. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>result scalar type. </td></tr>
+    <tr><td class="paramname">S</td><td>input row vector scalar type </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html#l00062">62</a> of file <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a73857fd39b6e343018a3bda40b7dc579"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt;T, S&gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a73857fd39b6e343018a3bda40b7dc579">type</a>, 1, Eigen::Dynamic&gt; <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">stan::math::promote_scalar_type</a>&lt; T, Eigen::Matrix&lt; S, 1, Eigen::Dynamic &gt; &gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_011_00_01_eigen_1_1_dynamic_01_4_01_4.html#a73857fd39b6e343018a3bda40b7dc579">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The promoted type. </p>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html#l00068">68</a> of file <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+        name="MSearchResults" id="MSearchResults">
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html">promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic,                                                                                                                                                                                                                                                                                                                                                                           Eigen::Dynamic &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic,                                                                                                                                                                                                                                                                                                                                                                           Eigen::Dynamic &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html#a660544aceefabb31ef4bbd090b6b1959">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic,                                                                                                                                                                                                                                                                                                                                                                           Eigen::Dynamic &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+  </span>
+</div>
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a8b40b9d3384f079cb045ab61a8c6ac73">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_18da53f05c7a1ffa21962d8ed9d876a8b.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram to calculate a type for a vector whose underlying scalar is converted from the second template parameter type to the first.  
+ <a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a8b40b9d3384f079cb045ab61a8c6ac73"><td class="memItemLeft" align="right" valign="top">typedef Eigen::Matrix&lt; typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt; T, S &gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a8b40b9d3384f079cb045ab61a8c6ac73">type</a>, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a8b40b9d3384f079cb045ab61a8c6ac73">type</a></td></tr>
+<tr class="memdesc:a8b40b9d3384f079cb045ab61a8c6ac73"><td class="mdescLeft">&#160;</td><td class="mdescRight">The promoted type.  <a href="#a8b40b9d3384f079cb045ab61a8c6ac73">More...</a><br /></td></tr>
+<tr class="separator:a8b40b9d3384f079cb045ab61a8c6ac73"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+struct stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;</h3>
+
+<p>Template metaprogram to calculate a type for a vector whose underlying scalar is converted from the second template parameter type to the first. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>result scalar type. </td></tr>
+    <tr><td class="paramname">S</td><td>input vector scalar type </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html#l00043">43</a> of file <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a8b40b9d3384f079cb045ab61a8c6ac73"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt;T, S&gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a8b40b9d3384f079cb045ab61a8c6ac73">type</a>, Eigen::Dynamic, 1&gt; <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">stan::math::promote_scalar_type</a>&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, 1 &gt; &gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1_dynamic_00_011_01_4_01_4.html#a8b40b9d3384f079cb045ab61a8c6ac73">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The promoted type. </p>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html#l00049">49</a> of file <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html
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+<title>Stan Math Library: stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic,                                                                                                                                                                                                                                                                                                                                                                           Eigen::Dynamic &gt; &gt; Struct Template Reference</title>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<!-- window showing the filter options -->
+<div id="MSearchSelectWindow"
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html">promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic,                                                                                                                                                                                                                                                                                                                                                                           Eigen::Dynamic &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_113ef15935bb161dd1b5f33fbfe2aaa09.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram to calculate a type for a matrix whose underlying scalar is converted from the second template parameter type to the first.  
+ <a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a660544aceefabb31ef4bbd090b6b1959"><td class="memItemLeft" align="right" valign="top">typedef Eigen::Matrix&lt; typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt; T, S &gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html#a660544aceefabb31ef4bbd090b6b1959">type</a>, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html#a660544aceefabb31ef4bbd090b6b1959">type</a></td></tr>
+<tr class="memdesc:a660544aceefabb31ef4bbd090b6b1959"><td class="mdescLeft">&#160;</td><td class="mdescRight">The promoted type.  <a href="#a660544aceefabb31ef4bbd090b6b1959">More...</a><br /></td></tr>
+<tr class="separator:a660544aceefabb31ef4bbd090b6b1959"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+struct stan::math::promote_scalar_type&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic,                                                                                                                                                                                                                                                                                                                                                                           Eigen::Dynamic &gt; &gt;</h3>
+
+<p>Template metaprogram to calculate a type for a matrix whose underlying scalar is converted from the second template parameter type to the first. </p>
+<p>This is the case for a vector container type.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>result scalar type. </td></tr>
+    <tr><td class="paramname">S</td><td>input matrix scalar type </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html#l00023">23</a> of file <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a660544aceefabb31ef4bbd090b6b1959"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt;T, S&gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html#a660544aceefabb31ef4bbd090b6b1959">type</a>, Eigen::Dynamic, Eigen::Dynamic&gt; <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">stan::math::promote_scalar_type</a>&lt; T, Eigen::Matrix&lt; S, Eigen::Dynamic,                                                                                                                                                                                                                                                                                                                                                                           Eigen::Dynamic &gt; &gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01_eigen_1_1_matrix_3_01_s_00_01_eigen_1_1cc87c7d31d6c5454918a83df72a8f3b0.html#a660544aceefabb31ef4bbd090b6b1959">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The promoted type. </p>
+
+<p>Definition at line <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html#l00030">30</a> of file <a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="mat_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta name="generator" content="Doxygen 1.8.10"/>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a5b7882075346e87e0765625eac15c615">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html">stan::math::promote_scalar_type&lt; T, std::vector&lt; S &gt; &gt;</a></td><td class="entry"></td></tr>
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diff --git a/doc/api/html/structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promote_scalar_type&lt; T, std::vector&lt; S &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram to calculate a type for a container whose underlying scalar is converted from the second template parameter type to the first.  
+ <a href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="arr_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a5b7882075346e87e0765625eac15c615"><td class="memItemLeft" align="right" valign="top">typedef std::vector&lt; typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt; T, S &gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a5b7882075346e87e0765625eac15c615">type</a> &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a5b7882075346e87e0765625eac15c615">type</a></td></tr>
+<tr class="memdesc:a5b7882075346e87e0765625eac15c615"><td class="mdescLeft">&#160;</td><td class="mdescRight">The promoted type.  <a href="#a5b7882075346e87e0765625eac15c615">More...</a><br /></td></tr>
+<tr class="separator:a5b7882075346e87e0765625eac15c615"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, typename S&gt;<br />
+struct stan::math::promote_scalar_type&lt; T, std::vector&lt; S &gt; &gt;</h3>
+
+<p>Template metaprogram to calculate a type for a container whose underlying scalar is converted from the second template parameter type to the first. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>result scalar type. </td></tr>
+    <tr><td class="paramname">S</td><td>input type </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="arr_2fun_2promote__scalar__type_8hpp_source.html#l00019">19</a> of file <a class="el" href="arr_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a5b7882075346e87e0765625eac15c615"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , typename S &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef std::vector&lt;typename <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">promote_scalar_type</a>&lt;T, S&gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a5b7882075346e87e0765625eac15c615">type</a>&gt; <a class="el" href="structstan_1_1math_1_1promote__scalar__type.html">stan::math::promote_scalar_type</a>&lt; T, std::vector&lt; S &gt; &gt;::<a class="el" href="structstan_1_1math_1_1promote__scalar__type_3_01_t_00_01std_1_1vector_3_01_s_01_4_01_4.html#a5b7882075346e87e0765625eac15c615">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>The promoted type. </p>
+
+<p>Definition at line <a class="el" href="arr_2fun_2promote__scalar__type_8hpp_source.html#l00023">23</a> of file <a class="el" href="arr_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/arr/fun/<a class="el" href="arr_2fun_2promote__scalar__type_8hpp_source.html">promote_scalar_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promoter-members.html b/doc/api/html/structstan_1_1math_1_1promoter-members.html
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
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+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; F, T &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter&lt; F, T &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter.html#ab3df6e7131a09943826d1b995142d7d6">promote</a>(const F &amp;u, T &amp;t)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter&lt; F, T &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter.html#a892e350b17a5930b9de4a9ff05eddc39">promote_to</a>(const F &amp;u)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter&lt; F, T &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promoter.html">promoter</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promoter-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; F, T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:ab3df6e7131a09943826d1b995142d7d6"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter.html#ab3df6e7131a09943826d1b995142d7d6">promote</a> (const F &amp;u, T &amp;t)</td></tr>
+<tr class="separator:ab3df6e7131a09943826d1b995142d7d6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a892e350b17a5930b9de4a9ff05eddc39"><td class="memItemLeft" align="right" valign="top">static T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter.html#a892e350b17a5930b9de4a9ff05eddc39">promote_to</a> (const F &amp;u)</td></tr>
+<tr class="separator:a892e350b17a5930b9de4a9ff05eddc39"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F, typename T&gt;<br />
+struct stan::math::promoter&lt; F, T &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00014">14</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="ab3df6e7131a09943826d1b995142d7d6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F, typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; F, T &gt;::promote </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>u</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>t</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00015">15</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a892e350b17a5930b9de4a9ff05eddc39"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F, typename T&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static T <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; F, T &gt;::promote_to </td>
+          <td>(</td>
+          <td class="paramtype">const F &amp;&#160;</td>
+          <td class="paramname"><em>u</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00018">18</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html b/doc/api/html/structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<title>Stan Math Library: stan::math::promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt; Struct Template Reference</title>
+<link href="tabs.css" rel="stylesheet" type="text/css"/>
+<script type="text/javascript" src="jquery.js"></script>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
+</div>
+<!-- end header part -->
+<!-- Generated by Doxygen 1.8.10 -->
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+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+</div>
+
+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html">promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_19fcbf4e7bc8e106173bfa338a15054ff.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a9964d13b9f2f05efca2b21ac165210d8"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html#a9964d13b9f2f05efca2b21ac165210d8">promote</a> (const Eigen::Matrix&lt; F, R, C &gt; &amp;u, Eigen::Matrix&lt; T, R, C &gt; &amp;t)</td></tr>
+<tr class="separator:a9964d13b9f2f05efca2b21ac165210d8"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a68d5ee667d0706baf7dd52f08f6a87fd"><td class="memItemLeft" align="right" valign="top">static Eigen::Matrix&lt; T, R, C &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html#a68d5ee667d0706baf7dd52f08f6a87fd">promote_to</a> (const Eigen::Matrix&lt; F, R, C &gt; &amp;u)</td></tr>
+<tr class="separator:a68d5ee667d0706baf7dd52f08f6a87fd"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F, typename T, int R, int C&gt;<br />
+struct stan::math::promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00063">63</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a9964d13b9f2f05efca2b21ac165210d8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;::promote </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; F, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>u</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>t</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00064">64</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a68d5ee667d0706baf7dd52f08f6a87fd"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static Eigen::Matrix&lt;T, R, C&gt; <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;::promote_to </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; F, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>u</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00071">71</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<meta http-equiv="X-UA-Compatible" content="IE=9"/>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html">promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html">stan::math::promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html#a9964d13b9f2f05efca2b21ac165210d8">promote</a>(const Eigen::Matrix&lt; F, R, C &gt; &amp;u, Eigen::Matrix&lt; T, R, C &gt; &amp;t)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html">stan::math::promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html#a68d5ee667d0706baf7dd52f08f6a87fd">promote_to</a>(const Eigen::Matrix&lt; F, R, C &gt; &amp;u)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_f_00_01_r_00_01_c_01_4_00_01_eigen_1_142b48fda94601374e41a81325f3f7b84.html">stan::math::promoter&lt; Eigen::Matrix&lt; F, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   &#160;<span id="projectnumber">2.10.0</span>
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+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html">promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_1ab38afe2feaa91a91579e3639d1f03b0.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a525fc8cb91f5c4c22195cdb004b1eb0f"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html#a525fc8cb91f5c4c22195cdb004b1eb0f">promote</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;u, Eigen::Matrix&lt; T, R, C &gt; &amp;t)</td></tr>
+<tr class="separator:a525fc8cb91f5c4c22195cdb004b1eb0f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9ff5ceffa5a1a568b750eb2f676d1da9"><td class="memItemLeft" align="right" valign="top">static Eigen::Matrix&lt; T, R, C &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html#a9ff5ceffa5a1a568b750eb2f676d1da9">promote_to</a> (const Eigen::Matrix&lt; T, R, C &gt; &amp;u)</td></tr>
+<tr class="separator:a9ff5ceffa5a1a568b750eb2f676d1da9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, int R, int C&gt;<br />
+struct stan::math::promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00080">80</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a525fc8cb91f5c4c22195cdb004b1eb0f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;::promote </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>u</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>t</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00081">81</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9ff5ceffa5a1a568b750eb2f676d1da9"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static Eigen::Matrix&lt;T, R, C&gt; <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;::promote_to </td>
+          <td>(</td>
+          <td class="paramtype">const Eigen::Matrix&lt; T, R, C &gt; &amp;&#160;</td>
+          <td class="paramname"><em>u</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00086">86</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_1ab38afe2feaa91a91579e3639d1f03b0.html b/doc/api/html/structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_1ab38afe2feaa91a91579e3639d1f03b0.html
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
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+</table>
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+<!-- end header part -->
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html">stan::math::promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html#a9ff5ceffa5a1a568b750eb2f676d1da9">promote_to</a>(const Eigen::Matrix&lt; T, R, C &gt; &amp;u)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_00_01_eigen_1_12d7fadf0560f1f2f3abc5388b7666f9c.html">stan::math::promoter&lt; Eigen::Matrix&lt; T, R, C &gt;, Eigen::Matrix&lt; T, R, C &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; T, T &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html">stan::math::promoter&lt; T, T &gt;</a>, including all inherited members.</p>
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+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html#a108a1ffe4c0560f0c0b384270ea801f1">promote_to</a>(const T &amp;u)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html">stan::math::promoter&lt; T, T &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html b/doc/api/html/structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html
new file mode 100644
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+<script type="text/javascript" src="jquery.js"></script>
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+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- Generated by Doxygen 1.8.10 -->
+<script type="text/javascript">
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
+</div>
+
+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html">promoter&lt; T, T &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; T, T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:ac8db3f3f3410059f5cae51383f1b38c2"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html#ac8db3f3f3410059f5cae51383f1b38c2">promote</a> (const T &amp;u, T &amp;t)</td></tr>
+<tr class="separator:ac8db3f3f3410059f5cae51383f1b38c2"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a108a1ffe4c0560f0c0b384270ea801f1"><td class="memItemLeft" align="right" valign="top">static T&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter_3_01_t_00_01_t_01_4.html#a108a1ffe4c0560f0c0b384270ea801f1">promote_to</a> (const T &amp;u)</td></tr>
+<tr class="separator:a108a1ffe4c0560f0c0b384270ea801f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::promoter&lt; T, T &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00024">24</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="ac8db3f3f3410059f5cae51383f1b38c2"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; T, T &gt;::promote </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>u</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T &amp;&#160;</td>
+          <td class="paramname"><em>t</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00025">25</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a108a1ffe4c0560f0c0b384270ea801f1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static T <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; T, T &gt;::promote_to </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>u</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00028">28</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4-members.html b/doc/api/html/structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4-members.html
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a357d5eb63ba812437c51640670cef745">promote</a>(const std::vector&lt; F &gt; &amp;u, std::vector&lt; T &gt; &amp;t)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a3da744179c9bbe7fe2ac326a4dcba352">promote_to</a>(const std::vector&lt; F &gt; &amp;u)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html
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+   <div id="projectname">Stan Math Library
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+        name="MSearchResults" id="MSearchResults">
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html">promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a357d5eb63ba812437c51640670cef745"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a357d5eb63ba812437c51640670cef745">promote</a> (const std::vector&lt; F &gt; &amp;u, std::vector&lt; T &gt; &amp;t)</td></tr>
+<tr class="separator:a357d5eb63ba812437c51640670cef745"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a3da744179c9bbe7fe2ac326a4dcba352"><td class="memItemLeft" align="right" valign="top">static std::vector&lt; T &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_f_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a3da744179c9bbe7fe2ac326a4dcba352">promote_to</a> (const std::vector&lt; F &gt; &amp;u)</td></tr>
+<tr class="separator:a3da744179c9bbe7fe2ac326a4dcba352"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename F, typename T&gt;<br />
+struct stan::math::promoter&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00035">35</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a357d5eb63ba812437c51640670cef745"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;::promote </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; F &gt; &amp;&#160;</td>
+          <td class="paramname"><em>u</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>t</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00036">36</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3da744179c9bbe7fe2ac326a4dcba352"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename F , typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static std::vector&lt;T&gt; <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; std::vector&lt; F &gt;, std::vector&lt; T &gt; &gt;::promote_to </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; F &gt; &amp;&#160;</td>
+          <td class="paramname"><em>u</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00043">43</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4-members.html b/doc/api/html/structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4-members.html
new file mode 100644
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html">promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#adb1706254fcd6734bf986e2cd01b093f">promote</a>(const std::vector&lt; T &gt; &amp;u, std::vector&lt; T &gt; &amp;t)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a099437577ccd004d58c5b2ee3e5acf06">promote_to</a>(const std::vector&lt; T &gt; &amp;u)</td><td class="entry"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html
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+<title>Stan Math Library: stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt; Struct Template Reference</title>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html">promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:adb1706254fcd6734bf986e2cd01b093f"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#adb1706254fcd6734bf986e2cd01b093f">promote</a> (const std::vector&lt; T &gt; &amp;u, std::vector&lt; T &gt; &amp;t)</td></tr>
+<tr class="separator:adb1706254fcd6734bf986e2cd01b093f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a099437577ccd004d58c5b2ee3e5acf06"><td class="memItemLeft" align="right" valign="top">static std::vector&lt; T &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1promoter_3_01std_1_1vector_3_01_t_01_4_00_01std_1_1vector_3_01_t_01_4_01_4.html#a099437577ccd004d58c5b2ee3e5acf06">promote_to</a> (const std::vector&lt; T &gt; &amp;u)</td></tr>
+<tr class="separator:a099437577ccd004d58c5b2ee3e5acf06"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::promoter&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00051">51</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="adb1706254fcd6734bf986e2cd01b093f"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static void <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;::promote </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>u</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>t</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00052">52</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a099437577ccd004d58c5b2ee3e5acf06"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static std::vector&lt;T&gt; <a class="el" href="structstan_1_1math_1_1promoter.html">stan::math::promoter</a>&lt; std::vector&lt; T &gt;, std::vector&lt; T &gt; &gt;::promote_to </td>
+          <td>(</td>
+          <td class="paramtype">const std::vector&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>u</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="promoter_8hpp_source.html#l00056">56</a> of file <a class="el" href="promoter_8hpp_source.html">promoter.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/fun/<a class="el" href="promoter_8hpp_source.html">promoter.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
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+<div class="title">stan::math::store_type&lt; T &gt; Member List</div>  </div>
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+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1store__type.html">stan::math::store_type&lt; T &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1store__type.html#a4911dad4e7692aae90f6a93466a3e88b">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1store__type.html">stan::math::store_type&lt; T &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1store__type-members.html">List of all members</a>  </div>
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+<div class="title">stan::math::store_type&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
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+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
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+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::store_type&lt; T &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00013">13</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
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+template&lt;typename T&gt; </div>
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+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00014">14</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
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+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
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+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
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+<div class="title">stan::math::store_type&lt; double &gt; Struct Template Reference</div>  </div>
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+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
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+<div class="textblock"><h3>template&lt;&gt;<br />
+struct stan::math::store_type&lt; double &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00017">17</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
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+<div class="memitem">
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+          <td class="memname">typedef const double <a class="el" href="structstan_1_1math_1_1store__type.html">stan::math::store_type</a>&lt; double &gt;::<a class="el" href="structstan_1_1math_1_1store__type_3_01double_01_4.html#a36449fc098f0ee60b5e078771f5395e8">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00018">18</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1store__type_3_01int_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::store_type&lt; int &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:aa10e456268690936392e9ea31e24645f"><td class="memItemLeft" align="right" valign="top">typedef const int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1store__type_3_01int_01_4.html#aa10e456268690936392e9ea31e24645f">type</a></td></tr>
+<tr class="separator:aa10e456268690936392e9ea31e24645f"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;&gt;<br />
+struct stan::math::store_type&lt; int &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00021">21</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="aa10e456268690936392e9ea31e24645f"></a>
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef const int <a class="el" href="structstan_1_1math_1_1store__type.html">stan::math::store_type</a>&lt; int &gt;::<a class="el" href="structstan_1_1math_1_1store__type_3_01int_01_4.html#aa10e456268690936392e9ea31e24645f">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="seq__view_8hpp_source.html#l00022">22</a> of file <a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="seq__view_8hpp_source.html">seq_view.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1value__type.html">value_type</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::value_type&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Primary template class for metaprogram to compute the type of values stored in a container.  
+ <a href="structstan_1_1math_1_1value__type.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2value__type_8hpp_source.html">value_type.hpp</a>&gt;</code></p>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::value_type&lt; T &gt;</h3>
+
+<p>Primary template class for metaprogram to compute the type of values stored in a container. </p>
+<p>Only the specializations have behavior that can be used, and all implement a typedef <code>type</code> for the type of the values in the container.</p>
+<p>tparam T type of container. </p>
+
+<p>Definition at line <a class="el" href="scal_2meta_2value__type_8hpp_source.html#l00018">18</a> of file <a class="el" href="scal_2meta_2value__type_8hpp_source.html">value_type.hpp</a>.</p>
+</div><hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2value__type_8hpp_source.html">value_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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new file mode 100644
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+<div class="title">stan::math::value_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt; Member List</div>  </div>
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+<table class="directory">
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1value__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::value_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram defining the type of values stored in an <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix, vector, or row vector.  
+ <a href="structstan_1_1math_1_1value__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2value__type_8hpp_source.html">value_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a269815862773362350279d4b0317e7e7"><td class="memItemLeft" align="right" valign="top">typedef Eigen::Matrix&lt; T, R, C &gt;::Scalar&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1value__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a269815862773362350279d4b0317e7e7">type</a></td></tr>
+<tr class="separator:a269815862773362350279d4b0317e7e7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, int R, int C&gt;<br />
+struct stan::math::value_type&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;</h3>
+
+<p>Template metaprogram defining the type of values stored in an <a class="el" href="namespace_eigen.html" title="(Expert) Numerical traits for algorithmic differentiation variables. ">Eigen</a> matrix, vector, or row vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of matrix. </td></tr>
+    <tr><td class="paramname">R</td><td>number of rows for matrix. </td></tr>
+    <tr><td class="paramname">C</td><td>number of columns for matrix. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="mat_2meta_2value__type_8hpp_source.html#l00020">20</a> of file <a class="el" href="mat_2meta_2value__type_8hpp_source.html">value_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a269815862773362350279d4b0317e7e7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T , int R, int C&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef Eigen::Matrix&lt;T, R, C&gt;::Scalar <a class="el" href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a>&lt; Eigen::Matrix&lt; T, R, C &gt; &gt;::<a class="el" href="structstan_1_1math_1_1value__type_3_01_eigen_1_1_matrix_3_01_t_00_01_r_00_01_c_01_4_01_4.html#a269815862773362350279d4b0317e7e7">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2meta_2value__type_8hpp_source.html#l00021">21</a> of file <a class="el" href="mat_2meta_2value__type_8hpp_source.html">value_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2value__type_8hpp_source.html">value_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4.html">stan::math::value_type&lt; const T &gt;</a>, including all inherited members.</p>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4.html">value_type&lt; const T &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::value_type&lt; const T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template class for metaprogram to compute the type of values stored in a constant container.  
+ <a href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2value__type_8hpp_source.html">value_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a9f80906cfc8184d851acc6791a4c3443"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1math_1_1value__type.html">value_type</a>&lt; T &gt;::<a class="el" href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4.html#a9f80906cfc8184d851acc6791a4c3443">type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4.html#a9f80906cfc8184d851acc6791a4c3443">type</a></td></tr>
+<tr class="separator:a9f80906cfc8184d851acc6791a4c3443"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::value_type&lt; const T &gt;</h3>
+
+<p>Template class for metaprogram to compute the type of values stored in a constant container. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of container without const modifier. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2value__type_8hpp_source.html#l00028">28</a> of file <a class="el" href="scal_2meta_2value__type_8hpp_source.html">value_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a9f80906cfc8184d851acc6791a4c3443"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef <a class="el" href="structstan_1_1math_1_1value__type.html">value_type</a>&lt;T&gt;::<a class="el" href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4.html#a9f80906cfc8184d851acc6791a4c3443">type</a> <a class="el" href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a>&lt; const T &gt;::<a class="el" href="structstan_1_1math_1_1value__type_3_01const_01_t_01_4.html#a9f80906cfc8184d851acc6791a4c3443">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2value__type_8hpp_source.html#l00029">29</a> of file <a class="el" href="scal_2meta_2value__type_8hpp_source.html">value_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2value__type_8hpp_source.html">value_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html">value_type&lt; std::vector&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::math::value_type&lt; std::vector&lt; T &gt; &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::value_type&lt; std::vector&lt; T &gt; &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#a98df9e1c73f191ad704b8e37a6a1ea23">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html">stan::math::value_type&lt; std::vector&lt; T &gt; &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html b/doc/api/html/structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="namespacestan_1_1math.html">math</a></li><li class="navelem"><a class="el" href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html">value_type&lt; std::vector&lt; T &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::math::value_type&lt; std::vector&lt; T &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Template metaprogram class to compute the type of values stored in a standard vector.  
+ <a href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="arr_2meta_2value__type_8hpp_source.html">value_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a98df9e1c73f191ad704b8e37a6a1ea23"><td class="memItemLeft" align="right" valign="top">typedef std::vector&lt; T &gt;::<a class="el" href="structstan_1_1math_1_1value__type.html">value_type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#a98df9e1c73f191ad704b8e37a6a1ea23">type</a></td></tr>
+<tr class="memdesc:a98df9e1c73f191ad704b8e37a6a1ea23"><td class="mdescLeft">&#160;</td><td class="mdescRight">Type of value stored in a standard vector with type <code>T</code> entries.  <a href="#a98df9e1c73f191ad704b8e37a6a1ea23">More...</a><br /></td></tr>
+<tr class="separator:a98df9e1c73f191ad704b8e37a6a1ea23"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::math::value_type&lt; std::vector&lt; T &gt; &gt;</h3>
+
+<p>Template metaprogram class to compute the type of values stored in a standard vector. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>type of elements in standard vector. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="arr_2meta_2value__type_8hpp_source.html#l00017">17</a> of file <a class="el" href="arr_2meta_2value__type_8hpp_source.html">value_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a98df9e1c73f191ad704b8e37a6a1ea23"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef std::vector&lt;T&gt;::<a class="el" href="structstan_1_1math_1_1value__type.html">value_type</a> <a class="el" href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a>&lt; std::vector&lt; T &gt; &gt;::<a class="el" href="structstan_1_1math_1_1value__type_3_01std_1_1vector_3_01_t_01_4_01_4.html#a98df9e1c73f191ad704b8e37a6a1ea23">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Type of value stored in a standard vector with type <code>T</code> entries. </p>
+
+<p>Definition at line <a class="el" href="arr_2meta_2value__type_8hpp_source.html#l00022">22</a> of file <a class="el" href="arr_2meta_2value__type_8hpp_source.html">value_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/arr/meta/<a class="el" href="arr_2meta_2value__type_8hpp_source.html">value_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+<a href="#pub-types">Public Types</a> &#124;
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+  <div class="headertitle">
+<div class="title">stan::partials_return_type&lt; T1, T2, T3, T4, T5, T6 &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">partials_return_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a6aec78ebdc1f5d8571c079a3ee013f60"><td class="memItemLeft" align="right" valign="top">typedef boost::math::tools::promote_args&lt; typename <a class="el" href="structstan_1_1partials__type.html">partials_type</a>&lt; typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T1 &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a> &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a>, typename <a class="el" href="structstan_1_1partials__type.html">partials_type</a>&lt; typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T2 &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a> &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a>, typename <a class="el" href="structstan_1_1partials__type.html">partials_type</a>&lt; typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T3 &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a> &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a>, typename <a class="el" href="structstan_1_1partials__type.html">partials_type</a>&lt; typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T4 &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a> &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a>, typename <a class="el" href="structstan_1_1partials__type.html">partials_type</a>&lt; typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T5 &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a> &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a>, typename <a class="el" href="structstan_1_1partials__type.html">partials_type</a>&lt; typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T6 &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a> &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a> &gt;::<a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">type</a></td></tr>
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+<div class="textblock"><h3>template&lt;typename T1, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double&gt;<br />
+struct stan::partials_return_type&lt; T1, T2, T3, T4, T5, T6 &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="partials__return__type_8hpp_source.html#l00016">16</a> of file <a class="el" href="partials__return__type_8hpp_source.html">partials_return_type.hpp</a>.</p>
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+        </tr>
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+<p>Definition at line <a class="el" href="partials__return__type_8hpp_source.html#l00026">26</a> of file <a class="el" href="partials__return__type_8hpp_source.html">partials_return_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="partials__return__type_8hpp_source.html">partials_return_type.hpp</a></li>
+</ul>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1partials__type.html">stan::partials_type&lt; T &gt;</a>, including all inherited members.</p>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1partials__type-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::partials_type&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="prim_2scal_2meta_2partials__type_8hpp_source.html">partials_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
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+struct stan::partials_type&lt; T &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="prim_2scal_2meta_2partials__type_8hpp_source.html#l00007">7</a> of file <a class="el" href="prim_2scal_2meta_2partials__type_8hpp_source.html">partials_type.hpp</a>.</p>
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+
+</div>
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+<hr/>The documentation for this struct was generated from the following file:<ul>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+<script type="text/javascript" src="jquery.js"></script>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1partials__type_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::partials_type&lt; stan::math::fvar&lt; T &gt; &gt; Struct Template Reference</div>  </div>
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+<p><code>#include &lt;<a class="el" href="fwd_2scal_2meta_2partials__type_8hpp_source.html">partials_type.hpp</a>&gt;</code></p>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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+struct stan::partials_type&lt; stan::math::fvar&lt; T &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="fwd_2scal_2meta_2partials__type_8hpp_source.html#l00010">10</a> of file <a class="el" href="fwd_2scal_2meta_2partials__type_8hpp_source.html">partials_type.hpp</a>.</p>
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+      <table class="memname">
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+          <td class="memname">typedef T <a class="el" href="structstan_1_1partials__type.html">stan::partials_type</a>&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::<a class="el" href="structstan_1_1partials__type_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#af8a313bf6a2791e160112bda56d44288">type</a></td>
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+<p>Definition at line <a class="el" href="fwd_2scal_2meta_2partials__type_8hpp_source.html#l00011">11</a> of file <a class="el" href="fwd_2scal_2meta_2partials__type_8hpp_source.html">partials_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/fwd/scal/meta/<a class="el" href="fwd_2scal_2meta_2partials__type_8hpp_source.html">partials_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
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diff --git a/doc/api/html/structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4.html b/doc/api/html/structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4.html
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1partials__type_3_01stan_1_1math_1_1var_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::partials_type&lt; stan::math::var &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
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+<p><code>#include &lt;<a class="el" href="rev_2scal_2meta_2partials__type_8hpp_source.html">partials_type.hpp</a>&gt;</code></p>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;&gt;<br />
+struct stan::partials_type&lt; stan::math::var &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="rev_2scal_2meta_2partials__type_8hpp_source.html#l00010">10</a> of file <a class="el" href="rev_2scal_2meta_2partials__type_8hpp_source.html">partials_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
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+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
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+<p>Definition at line <a class="el" href="rev_2scal_2meta_2partials__type_8hpp_source.html#l00011">11</a> of file <a class="el" href="rev_2scal_2meta_2partials__type_8hpp_source.html">partials_type.hpp</a>.</p>
+
+</div>
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+<hr/>The documentation for this struct was generated from the following file:<ul>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
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+  <div class="headertitle">
+<div class="title">stan::return_type&lt; T1, T2, T3, T4, T5, T6 &gt; Member List</div>  </div>
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+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1return__type.html">return_type</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1return__type-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::return_type&lt; T1, T2, T3, T4, T5, T6 &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of the template parameters.  
+ <a href="structstan_1_1return__type.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="return__type_8hpp_source.html">return_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:af3130731cc471801ccef3bc753dd790b"><td class="memItemLeft" align="right" valign="top">typedef boost::math::tools::promote_args&lt; typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T1 &gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T2 &gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T3 &gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T4 &gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T5 &gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T6 &gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a> &gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a></td></tr>
+<tr class="separator:af3130731cc471801ccef3bc753dd790b"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T1, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double&gt;<br />
+struct stan::return_type&lt; T1, T2, T3, T4, T5, T6 &gt;</h3>
+
+<p>Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of the template parameters. </p>
+
+<p>Definition at line <a class="el" href="return__type_8hpp_source.html#l00019">19</a> of file <a class="el" href="return__type_8hpp_source.html">return_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="af3130731cc471801ccef3bc753dd790b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T1, typename T2 = double, typename T3 = double, typename T4 = double, typename T5 = double, typename T6 = double&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef boost::math::tools::promote_args&lt;typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt;T1&gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt;T2&gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt;T3&gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt;T4&gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt;T5&gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>, typename <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt;T6&gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a>&gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a> <a class="el" href="structstan_1_1return__type.html">stan::return_type</a>&lt; T1, T2, T3, T4, T5, T6 &gt;::<a class="el" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="return__type_8hpp_source.html#l00027">27</a> of file <a class="el" href="return__type_8hpp_source.html">return_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="return__type_8hpp_source.html">return_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="title">stan::scalar_type&lt; T &gt; Member List</div>  </div>
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+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1scalar__type.html">stan::scalar_type&lt; T &gt;</a>, including all inherited members.</p>
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+  <tr class="even"><td class="entry"><a class="el" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">type</a> typedef</td><td class="entry"><a class="el" href="structstan_1_1scalar__type.html">stan::scalar_type&lt; T &gt;</a></td><td class="entry"></td></tr>
+</table></div><!-- contents -->
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1scalar__type.html b/doc/api/html/structstan_1_1scalar__type.html
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+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
+  </td>
+ </tr>
+ </tbody>
+</table>
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+<!-- end header part -->
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+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1scalar__type.html">scalar_type</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1scalar__type-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::scalar_type&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Metaprogram structure to determine the base scalar type of a template argument.  
+ <a href="structstan_1_1scalar__type.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:aa9068e42d81d7091f822df126fe932b7"><td class="memItemLeft" align="right" valign="top">typedef scalar_type_helper&lt; <a class="el" href="structstan_1_1is__vector.html">is_vector</a>&lt; T &gt;::value, T &gt;::<a class="el" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">type</a></td></tr>
+<tr class="separator:aa9068e42d81d7091f822df126fe932b7"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::scalar_type&lt; T &gt;</h3>
+
+<p>Metaprogram structure to determine the base scalar type of a template argument. </p>
+<p>This base class should be specialized for structured types.</p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of object. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scal_2meta_2scalar__type_8hpp_source.html#l00034">34</a> of file <a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="aa9068e42d81d7091f822df126fe932b7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef scalar_type_helper&lt;<a class="el" href="structstan_1_1is__vector.html">is_vector</a>&lt;T&gt;::value, T&gt;::<a class="el" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">type</a> <a class="el" href="structstan_1_1scalar__type.html">stan::scalar_type</a>&lt; T &gt;::<a class="el" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="scal_2meta_2scalar__type_8hpp_source.html#l00035">35</a> of file <a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html">scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="headertitle">
+<div class="title">stan::scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; Member List</div>  </div>
+</div><!--header-->
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+
+<p>This is the complete list of members for <a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html">stan::scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a>, including all inherited members.</p>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html b/doc/api/html/structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html
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+<script type="text/javascript" src="jquery.js"></script>
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+<div id="titlearea">
+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
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+</div>
+<!-- end header part -->
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+<script type="text/javascript">
+var searchBox = new SearchBox("searchBox", "search",false,'Search');
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+<div id="MSearchSelectWindow"
+     onmouseover="return searchBox.OnSearchSelectShow()"
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+<!-- iframe showing the search results (closed by default) -->
+<div id="MSearchResultsWindow">
+<iframe src="javascript:void(0)" frameborder="0" 
+        name="MSearchResults" id="MSearchResults">
+</iframe>
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+<div id="nav-path" class="navpath">
+  <ul>
+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html">scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="mat_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a3cbf7ba7c3d16da948863b3180075b36"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T &gt;::<a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a3cbf7ba7c3d16da948863b3180075b36">type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a3cbf7ba7c3d16da948863b3180075b36">type</a></td></tr>
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+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::scalar_type&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="mat_2meta_2scalar__type_8hpp_source.html#l00012">12</a> of file <a class="el" href="mat_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a3cbf7ba7c3d16da948863b3180075b36"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
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+          <td class="memname">typedef <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt;T&gt;::<a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a3cbf7ba7c3d16da948863b3180075b36">type</a> <a class="el" href="structstan_1_1scalar__type.html">stan::scalar_type</a>&lt; Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &gt;::<a class="el" href="structstan_1_1scalar__type_3_01_eigen_1_1_matrix_3_01_t_00_01_eigen_1_1_dynamic_00_01_eigen_1_1_dynamic_01_4_01_4.html#a3cbf7ba7c3d16da948863b3180075b36">type</a></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="mat_2meta_2scalar__type_8hpp_source.html#l00013">13</a> of file <a class="el" href="mat_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/mat/meta/<a class="el" href="mat_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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new file mode 100644
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+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
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+   <div id="projectname">Stan Math Library
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+<div class="title">stan::scalar_type&lt; T * &gt; Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1scalar__type_3_01_t_01_5_01_4.html">stan::scalar_type&lt; T * &gt;</a>, including all inherited members.</p>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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diff --git a/doc/api/html/structstan_1_1scalar__type_3_01_t_01_5_01_4.html b/doc/api/html/structstan_1_1scalar__type_3_01_t_01_5_01_4.html
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
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+<div class="header">
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+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1scalar__type_3_01_t_01_5_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::scalar_type&lt; T * &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-types"></a>
+Public Types</h2></td></tr>
+<tr class="memitem:a38f00242ece28298968a43f30508c940"><td class="memItemLeft" align="right" valign="top">typedef <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt; T &gt;::<a class="el" href="structstan_1_1scalar__type_3_01_t_01_5_01_4.html#a38f00242ece28298968a43f30508c940">type</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1scalar__type_3_01_t_01_5_01_4.html#a38f00242ece28298968a43f30508c940">type</a></td></tr>
+<tr class="separator:a38f00242ece28298968a43f30508c940"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::scalar_type&lt; T * &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="scal_2meta_2scalar__type_8hpp_source.html#l00039">39</a> of file <a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
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+          <td class="memname">typedef <a class="el" href="structstan_1_1scalar__type.html">scalar_type</a>&lt;T&gt;::<a class="el" href="structstan_1_1scalar__type_3_01_t_01_5_01_4.html#a38f00242ece28298968a43f30508c940">type</a> <a class="el" href="structstan_1_1scalar__type.html">stan::scalar_type</a>&lt; T * &gt;::<a class="el" href="structstan_1_1scalar__type_3_01_t_01_5_01_4.html#a38f00242ece28298968a43f30508c940">type</a></td>
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+<p>Definition at line <a class="el" href="scal_2meta_2scalar__type_8hpp_source.html#l00040">40</a> of file <a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">scalar_type.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+  <span style="float:left; margin=0 1em 0 1em;">
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1scalar__type__pre.html">scalar_type_pre</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-types">Public Types</a> &#124;
+<a href="structstan_1_1scalar__type__pre-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::scalar_type_pre&lt; T &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>Metaprogram structure to determine the type of first container of the base scalar type of a template argument.  
+ <a href="structstan_1_1scalar__type__pre.html#details">More...</a></p>
+
+<p><code>#include &lt;<a class="el" href="scalar__type__pre_8hpp_source.html">scalar_type_pre.hpp</a>&gt;</code></p>
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+<tr class="separator:a04ba454b3b528f4697c036d2bb19a8a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::scalar_type_pre&lt; T &gt;</h3>
+
+<p>Metaprogram structure to determine the type of first container of the base scalar type of a template argument. </p>
+<dl class="tparams"><dt>Template Parameters</dt><dd>
+  <table class="tparams">
+    <tr><td class="paramname">T</td><td>Type of object. </td></tr>
+  </table>
+  </dd>
+</dl>
+
+<p>Definition at line <a class="el" href="scalar__type__pre_8hpp_source.html#l00034">34</a> of file <a class="el" href="scalar__type__pre_8hpp_source.html">scalar_type_pre.hpp</a>.</p>
+</div><h2 class="groupheader">Member Typedef Documentation</h2>
+<a class="anchor" id="a04ba454b3b528f4697c036d2bb19a8a1"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T&gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">typedef scalar_type_helper_pre&lt;<a class="el" href="structstan_1_1is__vector.html">is_vector</a> &lt;typename <a class="el" href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a>&lt;T&gt;::<a class="el" href="structstan_1_1scalar__type__pre.html#a04ba454b3b528f4697c036d2bb19a8a1">type</a>&gt;::value, typename <a class="el" href="structstan_1_1math_1_1value__type.html">stan::math::value_type</a>&lt;T&gt;::<a class="el" href="structstan_1_1scalar__type__pre.html#a04ba454b3b528f4697c036d2bb19a8a1">type</a>, T&gt;::<a class="el" href="structstan_1_1scalar__type__pre.html#a04ba454b3b528f4697c036d2bb19a8a1">type</a> <a class="el" href="structstan_1_1scalar__type__pre.html">stan::scalar_type_pre</a>&lt; T &gt;::<a class="el" href="structstan_1_1scalar__type__pre.html#a04ba454b3b528f4697c036d2bb19a8a1">type</a></td>
+        </tr>
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+<p>Definition at line <a class="el" href="scalar__type__pre_8hpp_source.html#l00039">39</a> of file <a class="el" href="scalar__type__pre_8hpp_source.html">scalar_type_pre.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="scalar__type__pre_8hpp_source.html">scalar_type_pre.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">stan::size_of_helper&lt; T, is_vec &gt; Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1size__of__helper.html">stan::size_of_helper&lt; T, is_vec &gt;</a>, including all inherited members.</p>
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+</table></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<table cellspacing="0" cellpadding="0">
+ <tbody>
+ <tr style="height: 56px;">
+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</table>
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+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1size__of__helper-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::size_of_helper&lt; T, is_vec &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="size__of_8hpp_source.html">size_of.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:a8f7056983b7948acf66a2e8b3e37e855"><td class="memItemLeft" align="right" valign="top">static size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1size__of__helper.html#a8f7056983b7948acf66a2e8b3e37e855">size_of</a> (const T &amp;)</td></tr>
+<tr class="separator:a8f7056983b7948acf66a2e8b3e37e855"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T, bool is_vec&gt;<br />
+struct stan::size_of_helper&lt; T, is_vec &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="size__of_8hpp_source.html#l00010">10</a> of file <a class="el" href="size__of_8hpp_source.html">size_of.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a8f7056983b7948acf66a2e8b3e37e855"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T, bool is_vec&gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static size_t <a class="el" href="structstan_1_1size__of__helper.html">stan::size_of_helper</a>&lt; T, is_vec &gt;::size_of </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
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+          <td></td>
+        </tr>
+      </table>
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+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="size__of_8hpp_source.html#l00011">11</a> of file <a class="el" href="size__of_8hpp_source.html">size_of.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="size__of_8hpp_source.html">size_of.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+</div>
+</div><!-- top -->
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+  <div class="headertitle">
+<div class="title">stan::size_of_helper&lt; T, true &gt; Member List</div>  </div>
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+<p>This is the complete list of members for <a class="el" href="structstan_1_1size__of__helper_3_01_t_00_01true_01_4.html">stan::size_of_helper&lt; T, true &gt;</a>, including all inherited members.</p>
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+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestan.html">stan</a></li><li class="navelem"><a class="el" href="structstan_1_1size__of__helper_3_01_t_00_01true_01_4.html">size_of_helper&lt; T, true &gt;</a></li>  </ul>
+</div>
+</div><!-- top -->
+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="structstan_1_1size__of__helper_3_01_t_00_01true_01_4-members.html">List of all members</a>  </div>
+  <div class="headertitle">
+<div class="title">stan::size_of_helper&lt; T, true &gt; Struct Template Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p><code>#include &lt;<a class="el" href="size__of_8hpp_source.html">size_of.hpp</a>&gt;</code></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
+Static Public Member Functions</h2></td></tr>
+<tr class="memitem:af0810fc0270af209916e67d5defe4b7d"><td class="memItemLeft" align="right" valign="top">static size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="structstan_1_1size__of__helper_3_01_t_00_01true_01_4.html#af0810fc0270af209916e67d5defe4b7d">size_of</a> (const T &amp;x)</td></tr>
+<tr class="separator:af0810fc0270af209916e67d5defe4b7d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct stan::size_of_helper&lt; T, true &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="size__of_8hpp_source.html#l00017">17</a> of file <a class="el" href="size__of_8hpp_source.html">size_of.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="af0810fc0270af209916e67d5defe4b7d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static size_t <a class="el" href="structstan_1_1size__of__helper.html">stan::size_of_helper</a>&lt; T, true &gt;::size_of </td>
+          <td>(</td>
+          <td class="paramtype">const T &amp;&#160;</td>
+          <td class="paramname"><em>x</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="size__of_8hpp_source.html#l00018">18</a> of file <a class="el" href="size__of_8hpp_source.html">size_of.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/prim/scal/meta/<a class="el" href="size__of_8hpp_source.html">size_of.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+   <div id="projectname">Stan Math Library
+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+</div>
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+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a59a2dde71269caf7efeb7152be6ce533">is_specialized</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
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+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html#a1f98885d72104f524c0cbccbd7ac3152">min</a>()</td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1fvar_3_01_t_01_4_01_4.html">std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
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+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
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+<p><code>#include &lt;<a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>&gt;</code></p>
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+<tr class="separator:a17d98bdb7219aae14eb990e0e1272a75"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;typename T&gt;<br />
+struct std::numeric_limits&lt; stan::math::fvar&lt; T &gt; &gt;</h3>
+
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00011">11</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a83a3f6cc9f8616ff3a1a0d25c13febd0"></a>
+<div class="memitem">
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+template&lt;typename T &gt; </div>
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+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
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+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00044">44</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
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+template&lt;typename T &gt; </div>
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+          <td class="memname">static <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt;T&gt; std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::epsilon </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00021">21</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
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+<div class="memitem">
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+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt;T&gt; std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::infinity </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00038">38</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
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+<div class="memitem">
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+template&lt;typename T &gt; </div>
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+  <tr>
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+      <table class="memname">
+        <tr>
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+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00014">14</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
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+template&lt;typename T &gt; </div>
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+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
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+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00013">13</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
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+<div class="memitem">
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+template&lt;typename T &gt; </div>
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+          <td>(</td>
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+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
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+          <td>(</td>
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+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
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+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
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+
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+<div class="memproto">
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+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::digits = numeric_limits&lt;double&gt;::digits</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00015">15</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac72f6fb71cb6f7e4066f6cb4d4d264a8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::digits10 = numeric_limits&lt;double&gt;::digits10</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00016">16</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a96150abba41617a326d932898f40a271"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const float_denorm_style std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::has_denorm</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<b>Initial value:</b><div class="fragment"><div class="line">=</div>
+<div class="line">                                             numeric_limits&lt;double&gt;::has_denorm</div>
+</div><!-- fragment -->
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00035">35</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac1a4413e08377758bcf63a241e0a69ee"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::has_denorm_loss = numeric_limits&lt;double&gt;::has_denorm_loss</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00037">37</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adf78371272a42d7f5eb8836365c04764"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::has_infinity = numeric_limits&lt;double&gt;::has_infinity</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00031">31</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8e45cb7bac1df9211bedbe9fb7463762"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::has_quiet_NaN = numeric_limits&lt;double&gt;::has_quiet_NaN</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00032">32</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1638acb74a052c73f6f967df41b48616"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::has_signaling_NaN</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<b>Initial value:</b><div class="fragment"><div class="line">=</div>
+<div class="line">                                      numeric_limits&lt;double&gt;::has_signaling_NaN</div>
+</div><!-- fragment -->
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00033">33</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ab5deb46224220ecfb8a9376482c9e8ac"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::is_bounded = numeric_limits&lt;double&gt;::is_bounded</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00048">48</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a90261feaf68874a9040f1d6154cb07d8"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::is_exact = numeric_limits&lt;double&gt;::is_exact</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00019">19</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a14d89ae2412cdc6332ef210bde59f6b6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::is_iec559 = numeric_limits&lt;double&gt;::is_iec559</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00047">47</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aea8d495294cc702f7a01231a1dac200d"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::is_integer = numeric_limits&lt;double&gt;::is_integer</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00018">18</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a32a765f274b13b613d32ba4d134c4744"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::is_modulo = numeric_limits&lt;double&gt;::is_modulo</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00049">49</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="af3bbfcf12af3e66ff24ce68db3bcc1e7"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::is_signed = numeric_limits&lt;double&gt;::is_signed</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00017">17</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a59a2dde71269caf7efeb7152be6ce533"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::is_specialized = true</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00012">12</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a1537bd90d3b2f97e27229e0c219d0807"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::max_exponent = numeric_limits&lt;double&gt;::max_exponent</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00028">28</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a582122c752ff0b7505c495a5ed7c315b"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::max_exponent10 = numeric_limits&lt;double&gt;::max_exponent10</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00029">29</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abe6b4be3af27ba2fa504246bc080c9d6"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::min_exponent = numeric_limits&lt;double&gt;::min_exponent</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00026">26</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a18d66a0fb3aedba11174e9dddf46e64a"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::min_exponent10 = numeric_limits&lt;double&gt;::min_exponent10</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00027">27</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a587890d74b771c8540cee2cd2d7034ab"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::radix = numeric_limits&lt;double&gt;::radix</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00020">20</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a17d98bdb7219aae14eb990e0e1272a75"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const float_round_style std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::round_style</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+<b>Initial value:</b><div class="fragment"><div class="line">=</div>
+<div class="line">      numeric_limits&lt;double&gt;::round_style</div>
+</div><!-- fragment -->
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00053">53</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8363f29d87fc5d3d73671d8392c812c5"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::tinyness_before = numeric_limits&lt;double&gt;::tinyness_before</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00052">52</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aacb06d8d52956389bba88fc0196f4d7e"></a>
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="structstan_1_1math_1_1fvar.html">stan::math::fvar</a>&lt; T &gt; &gt;::traps = numeric_limits&lt;double&gt;::traps</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html#l00051">51</a> of file <a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/fwd/core/<a class="el" href="fwd_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4-members.html b/doc/api/html/structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4-members.html
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@@ -0,0 +1,144 @@
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+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="namespacestd.html">std</a></li><li class="navelem"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">numeric_limits&lt; stan::math::var &gt;</a></li>  </ul>
+</div>
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+<div class="title">std::numeric_limits&lt; stan::math::var &gt; Member List</div>  </div>
+</div><!--header-->
+<div class="contents">
+
+<p>This is the complete list of members for <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a>, including all inherited members.</p>
+<table class="directory">
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a28a2bf586d50372baccd5ad89656691e">denorm_min</a>()</td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a6f832c798083861791d8f8422d297cc5">digits</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a306499deadac99dc6648a436dd1b91e7">digits10</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a9721f6791342af12c178669b3ed87ccc">epsilon</a>()</td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a0bad4d5dc17300ba94f978bb2fe4b5f0">has_denorm</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a972b6c088d09e9ae9600cd8e7bf84d08">has_denorm_loss</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a48d4f72d9050f2ffa14e92db913c3f9c">has_infinity</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a9fce52f2fab68553a36500922c7b00c7">has_quiet_NaN</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a192d5e3131211bc8d64187c98fb791e4">has_signaling_NaN</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a124f44266afc97648e4d3cb9f1379090">infinity</a>()</td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ae161cee3b942d452a926a36aec60f299">is_bounded</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a4ac573b4bf27192ba455fd19e227f9a8">is_exact</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a6bd55581d326ebf3ed6a1c496db0b9e0">is_iec559</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a77274abe077c86132768f758f855d4de">is_integer</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#adf7187f7525889c004c4f82c2ce732df">is_modulo</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a63ac9208e3acc5ca9bcdba7e5f56765e">is_signed</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#acd76962ff1fcc794becaaf166d8680a6">is_specialized</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a7ac4e8fcb64946415100aa2ff28799ee">max</a>()</td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a4d417e7f57df3e7866b33e606b7a67c4">max_exponent</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a314c4f743a150c8d335692086c6ca564">max_exponent10</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a8d71ee2cb09cc89fbc145616d5123f80">min</a>()</td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ac5b86cfb9a7c727c9acecc63d1846f88">min_exponent</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a3b2ecdc49b475fd7c29e5db504e93993">min_exponent10</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a3fbd271621effc1cd6c5ba6529f88ec9">quiet_NaN</a>()</td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#aa9ba12ebfa66d3e08f8d215b1113c818">radix</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ac3591cae0c363bded19db83484c03d9e">round_error</a>()</td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#aabc7fd25500e1560deb8839cb1ee7225">round_style</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#abe18cd7f77ecf062347231ef1193d404">signaling_NaN</a>()</td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">inline</span><span class="mlabel">static</span></td></tr>
+  <tr class="even"><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#a872009df91ab9e948f8d9a6b4fb79a2d">tinyness_before</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+  <tr><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html#ace9fa9c8c667f38d1c1fac08354c7f9c">traps</a></td><td class="entry"><a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html">std::numeric_limits&lt; stan::math::var &gt;</a></td><td class="entry"><span class="mlabel">static</span></td></tr>
+</table></div><!-- contents -->
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+  </span>
+</div>
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+<div class="header">
+  <div class="summary">
+<a href="#pub-static-methods">Static Public Member Functions</a> &#124;
+<a href="#pub-static-attribs">Static Public Attributes</a> &#124;
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+<div class="title">std::numeric_limits&lt; stan::math::var &gt; Struct Template Reference</div>  </div>
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+<p>Specialization of numeric limits for var objects.  
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+<tr class="separator:aabc7fd25500e1560deb8839cb1ee7225"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><h3>template&lt;&gt;<br />
+struct std::numeric_limits&lt; stan::math::var &gt;</h3>
+
+<p>Specialization of numeric limits for var objects. </p>
+<p>This implementation of <a class="el" href="structstd_1_1numeric__limits_3_01stan_1_1math_1_1var_01_4.html" title="Specialization of numeric limits for var objects. ">std::numeric_limits&lt;stan::math::var&gt;</a> is used to treat var objects like doubles. </p>
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00016">16</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+</div><h2 class="groupheader">Member Function Documentation</h2>
+<a class="anchor" id="a28a2bf586d50372baccd5ad89656691e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::denorm_min </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00054">54</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9721f6791342af12c178669b3ed87ccc"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::epsilon </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00026">26</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a124f44266afc97648e4d3cb9f1379090"></a>
+<div class="memitem">
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+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::infinity </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00045">45</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a7ac4e8fcb64946415100aa2ff28799ee"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::max </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
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+</div><div class="memdoc">
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+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00019">19</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a8d71ee2cb09cc89fbc145616d5123f80"></a>
+<div class="memitem">
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+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::min </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00018">18</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3fbd271621effc1cd6c5ba6529f88ec9"></a>
+<div class="memitem">
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+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::quiet_NaN </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
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+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00048">48</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac3591cae0c363bded19db83484c03d9e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::round_error </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00029">29</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="abe18cd7f77ecf062347231ef1193d404"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">static <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::signaling_NaN </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00051">51</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<h2 class="groupheader">Member Data Documentation</h2>
+<a class="anchor" id="a6f832c798083861791d8f8422d297cc5"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::digits = numeric_limits&lt;double&gt;::digits</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00020">20</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a306499deadac99dc6648a436dd1b91e7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::digits10 = numeric_limits&lt;double&gt;::digits10</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00021">21</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a0bad4d5dc17300ba94f978bb2fe4b5f0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const float_denorm_style std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::has_denorm = numeric_limits&lt;double&gt;::has_denorm</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00043">43</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a972b6c088d09e9ae9600cd8e7bf84d08"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::has_denorm_loss = numeric_limits&lt;double&gt;::has_denorm_loss</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00044">44</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a48d4f72d9050f2ffa14e92db913c3f9c"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::has_infinity = numeric_limits&lt;double&gt;::has_infinity</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00038">38</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a9fce52f2fab68553a36500922c7b00c7"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::has_quiet_NaN = numeric_limits&lt;double&gt;::has_quiet_NaN</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00039">39</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a192d5e3131211bc8d64187c98fb791e4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::has_signaling_NaN = numeric_limits&lt;double&gt;::has_signaling_NaN</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00041">41</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ae161cee3b942d452a926a36aec60f299"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::is_bounded = numeric_limits&lt;double&gt;::is_bounded</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00059">59</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4ac573b4bf27192ba455fd19e227f9a8"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::is_exact = numeric_limits&lt;double&gt;::is_exact</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00024">24</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a6bd55581d326ebf3ed6a1c496db0b9e0"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::is_iec559 = numeric_limits&lt;double&gt;::is_iec559</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00058">58</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a77274abe077c86132768f758f855d4de"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::is_integer = numeric_limits&lt;double&gt;::is_integer</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00023">23</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="adf7187f7525889c004c4f82c2ce732df"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::is_modulo = numeric_limits&lt;double&gt;::is_modulo</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00060">60</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a63ac9208e3acc5ca9bcdba7e5f56765e"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::is_signed = numeric_limits&lt;double&gt;::is_signed</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00022">22</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="acd76962ff1fcc794becaaf166d8680a6"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::is_specialized = true</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00017">17</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a4d417e7f57df3e7866b33e606b7a67c4"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::max_exponent = numeric_limits&lt;double&gt;::max_exponent</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00035">35</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a314c4f743a150c8d335692086c6ca564"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::max_exponent10 = numeric_limits&lt;double&gt;::max_exponent10</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00036">36</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ac5b86cfb9a7c727c9acecc63d1846f88"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::min_exponent = numeric_limits&lt;double&gt;::min_exponent</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00033">33</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a3b2ecdc49b475fd7c29e5db504e93993"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::min_exponent10 = numeric_limits&lt;double&gt;::min_exponent10</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00034">34</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aa9ba12ebfa66d3e08f8d215b1113c818"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const int std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::radix = numeric_limits&lt;double&gt;::radix</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00025">25</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="aabc7fd25500e1560deb8839cb1ee7225"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const float_round_style std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::round_style = numeric_limits&lt;double&gt;::round_style</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00065">65</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="a872009df91ab9e948f8d9a6b4fb79a2d"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::tinyness_before = numeric_limits&lt;double&gt;::tinyness_before</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00063">63</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<a class="anchor" id="ace9fa9c8c667f38d1c1fac08354c7f9c"></a>
+<div class="memitem">
+<div class="memproto">
+<table class="mlabels">
+  <tr>
+  <td class="mlabels-left">
+      <table class="memname">
+        <tr>
+          <td class="memname">const bool std::numeric_limits&lt; <a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a> &gt;::traps = numeric_limits&lt;double&gt;::traps</td>
+        </tr>
+      </table>
+  </td>
+  <td class="mlabels-right">
+<span class="mlabels"><span class="mlabel">static</span></span>  </td>
+  </tr>
+</table>
+</div><div class="memdoc">
+
+<p>Definition at line <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html#l00062">62</a> of file <a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a>.</p>
+
+</div>
+</div>
+<hr/>The documentation for this struct was generated from the following file:<ul>
+<li>stan/math/rev/core/<a class="el" href="rev_2core_2std__numeric__limits_8hpp_source.html">std_numeric_limits.hpp</a></li>
+</ul>
+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<div class="title">student_t_ccdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/student_t_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="student__t__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:aa7330bcb373ce5df4f6cedb70d4ba571"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:aa7330bcb373ce5df4f6cedb70d4ba571"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa7330bcb373ce5df4f6cedb70d4ba571">stan::math::student_t_ccdf_log</a> (const T_y &amp;y, const T_dof &amp;nu, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:aa7330bcb373ce5df4f6cedb70d4ba571"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
diff --git a/doc/api/html/student__t__ccdf__log_8hpp_source.html b/doc/api/html/student__t__ccdf__log_8hpp_source.html
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
+</div>
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+  <div class="headertitle">
+<div class="title">student_t_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="student__t__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_STUDENT_T_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_STUDENT_T_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/student_t_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa7330bcb373ce5df4f6cedb70d4ba571">   33</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa7330bcb373ce5df4f6cedb70d4ba571">student_t_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu, <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                       <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">typedef</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::student_t_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu, mu, sigma);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        operands_and_partials(y, nu, mu, sigma);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == -std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      T_partials_return digammaHalf = 0;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        digammaNu_vec(stan::length(nu));</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        digammaNuPlusHalf_vec(stan::length(nu));</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        digammaHalf = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          digammaNu_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5 * nu_dbl);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          digammaNuPlusHalf_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5 + 0.5 * nu_dbl);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      }</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        }</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_inv = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return t = (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) - <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]))</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          * sigma_inv;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keyword">const</span> T_partials_return q = nu_dbl / (t * t);</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keyword">const</span> T_partials_return r = 1.0 / (1.0 + q);</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">const</span> T_partials_return J = 2 * r * r * q / t;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keyword">const</span> T_partials_return betaNuHalf = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(0.5, 0.5 * nu_dbl));</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        T_partials_return zJacobian = t &gt; 0 ? - 0.5 : 0.5;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (q &lt; 2) {</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          T_partials_return z = <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(0.5 * nu_dbl, (T_partials_return)0.5,</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                                         1.0 - r);</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;          <span class="keyword">const</span> T_partials_return Pn = t &gt; 0 ? 0.5 * z : 1.0 - 0.5 * z;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;          <span class="keyword">const</span> T_partials_return d_ibeta = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(r, -0.5)</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1.0 - r, 0.5*nu_dbl - 1) / betaNuHalf;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;              += zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;            T_partials_return g1 = 0;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            T_partials_return g2 = 0;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            <a class="code" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a>(g1, g2, 0.5 * nu_dbl,</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                                          (T_partials_return)0.5, 1.0 - r,</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                                          digammaNu_vec[n], digammaHalf,</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;                                          digammaNuPlusHalf_vec[n],</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;                                          betaNuHalf);</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;              -= zJacobian * (d_ibeta * (r / t) * (r / t) + 0.5 * g1) / Pn;</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;          }</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;              -= zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n]</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;              -= zJacobian * d_ibeta * J * sigma_inv * t / Pn;</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;        } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;          T_partials_return z = 1.0 - <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>((T_partials_return)0.5,</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;                                               0.5*nu_dbl, r);</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;          zJacobian *= -1;</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;          <span class="keyword">const</span> T_partials_return Pn = t &gt; 0 ? 0.5 * z : 1.0 - 0.5 * z;</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;          T_partials_return d_ibeta = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1.0-r, 0.5*nu_dbl-1) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(r, -0.5)</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;            / betaNuHalf;</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;          P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;              -= zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;            T_partials_return g1 = 0;</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;            T_partials_return g2 = 0;</div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;</div>
+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;            <a class="code" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a>(g1, g2, (T_partials_return)0.5,</div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;                                          0.5 * nu_dbl, r,</div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;                                          digammaHalf, digammaNu_vec[n],</div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;                                          digammaNuPlusHalf_vec[n],</div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;                                          betaNuHalf);</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;              -= zJacobian * (- d_ibeta * (r / t) * (r / t) + 0.5 * g2) / Pn;</div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;          }</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;</div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;              += zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n]</div>
+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;              += zJacobian * d_ibeta * J * sigma_inv * t / Pn;</div>
+<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        }</div>
+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;      }</div>
+<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;</div>
+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;    }</div>
+<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;  }</div>
+<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;}</div>
+<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ac51be9d210e223a8aa4241e2d725e295"><div class="ttname"><a href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a></div><div class="ttdeci">fvar&lt; T &gt; lbeta(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">lbeta.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa7330bcb373ce5df4f6cedb70d4ba571"><div class="ttname"><a href="namespacestan_1_1math.html#aa7330bcb373ce5df4f6cedb70d4ba571">stan::math::student_t_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_dof, T_loc, T_scale &gt;::type student_t_ccdf_log(const T_y &amp;y, const T_dof &amp;nu, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="student__t__ccdf__log_8hpp_source.html#l00033">student_t_ccdf_log.hpp:33</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11eeb59eb3ae4f0710a7e417478c1212"><div class="ttname"><a href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a></div><div class="ttdeci">void grad_reg_inc_beta(T &amp;g1, T &amp;g2, T a, T b, T z, T digammaA, T digammaB, T digammaSum, T betaAB)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__beta_8hpp_source.html#l00014">grad_reg_inc_beta.hpp:14</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a173c58a8fd989264209ca8b451effc2e"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials::d_x4</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00042">OperandsAndPartials.hpp:42</a></div></div>
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+<div class="title">student_t_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/student_t_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="student__t__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a6c3707b197842a840217b04e3cc1b0da"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a6c3707b197842a840217b04e3cc1b0da"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a6c3707b197842a840217b04e3cc1b0da">stan::math::student_t_cdf</a> (const T_y &amp;y, const T_dof &amp;nu, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a6c3707b197842a840217b04e3cc1b0da"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">student_t_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="student__t__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_STUDENT_T_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_STUDENT_T_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/student_t_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a6c3707b197842a840217b04e3cc1b0da">   33</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a6c3707b197842a840217b04e3cc1b0da">student_t_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu, <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                  <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_dof, T_loc,</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;                                                  T_scale&gt;::type</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
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+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::student_t_cdf&quot;</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      T_partials_return P(1.0);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu, mu, sigma);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        operands_and_partials(y, nu, mu, sigma);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == -std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      T_partials_return digammaHalf = 0;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        digammaNu_vec(stan::length(nu));</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        digammaNuPlusHalf_vec(stan::length(nu));</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        digammaHalf = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;          <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;          digammaNu_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5 * nu_dbl);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          digammaNuPlusHalf_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5 + 0.5 * nu_dbl);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        }</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      }</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="comment">// Compute vectorized CDF and gradient</span></div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        }</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_inv = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keyword">const</span> T_partials_return t = (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) - <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]))</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          * sigma_inv;</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keyword">const</span> T_partials_return q = nu_dbl / (t * t);</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keyword">const</span> T_partials_return r = 1.0 / (1.0 + q);</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keyword">const</span> T_partials_return J = 2 * r * r * q / t;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">const</span> T_partials_return betaNuHalf = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(0.5, 0.5*nu_dbl));</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordtype">double</span> zJacobian = t &gt; 0 ? - 0.5 : 0.5;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">if</span> (q &lt; 2) {</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;          T_partials_return z = <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(0.5 * nu_dbl, (T_partials_return)0.5,</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;                                         1.0 - r);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          <span class="keyword">const</span> T_partials_return Pn = t &gt; 0 ? 1.0 - 0.5 * z : 0.5 * z;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;          <span class="keyword">const</span> T_partials_return d_ibeta = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(r, -0.5)</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1.0 - r, 0.5*nu_dbl - 1) / betaNuHalf;</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;          P *= Pn;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;              += - zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;            T_partials_return g1 = 0;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;            T_partials_return g2 = 0;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            <a class="code" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a>(g1, g2, 0.5 * nu_dbl,</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;                                          (T_partials_return)0.5, 1.0 - r,</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;                                          digammaNu_vec[n], digammaHalf,</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                                          digammaNuPlusHalf_vec[n],</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                                          betaNuHalf);</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;              += zJacobian * (d_ibeta * (r / t) * (r / t) + 0.5 * g1) / Pn;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;          }</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;              += zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n]</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;              += zJacobian * d_ibeta * J * sigma_inv * t / Pn;</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;          T_partials_return z = 1.0 - <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>((T_partials_return)0.5,</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;                                               0.5*nu_dbl, r);</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;          zJacobian *= -1;</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;</div>
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+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;          T_partials_return d_ibeta = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1.0-r, 0.5*nu_dbl-1) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(r, -0.5)</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;            / betaNuHalf;</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;</div>
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+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;              += zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
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+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;            T_partials_return g2 = 0;</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div>
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+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;                                          0.5 * nu_dbl, r,</div>
+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;                                          digammaHalf, digammaNu_vec[n],</div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;                                          digammaNuPlusHalf_vec[n],</div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;                                          betaNuHalf);</div>
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+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;              += zJacobian * (- d_ibeta * (r / t) * (r / t) + 0.5 * g2) / Pn;</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;          }</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;              += - zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
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+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n]</div>
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+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
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+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac51be9d210e223a8aa4241e2d725e295"><div class="ttname"><a href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a></div><div class="ttdeci">fvar&lt; T &gt; lbeta(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">lbeta.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6c3707b197842a840217b04e3cc1b0da"><div class="ttname"><a href="namespacestan_1_1math.html#a6c3707b197842a840217b04e3cc1b0da">stan::math::student_t_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_dof, T_loc, T_scale &gt;::type student_t_cdf(const T_y &amp;y, const T_dof &amp;nu, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="student__t__cdf_8hpp_source.html#l00033">student_t_cdf.hpp:33</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/student_t_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="student__t__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a0cf7b73942cfee4fec76599b966796d1"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a0cf7b73942cfee4fec76599b966796d1"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0cf7b73942cfee4fec76599b966796d1">stan::math::student_t_cdf_log</a> (const T_y &amp;y, const T_dof &amp;nu, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
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+  Stan Development Team.
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+<a href="student__t__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_STUDENT_T_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_STUDENT_T_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/student_t_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a0cf7b73942cfee4fec76599b966796d1">   33</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a0cf7b73942cfee4fec76599b966796d1">student_t_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu, <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;                      <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_dof, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="comment">// Size checks</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu) &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::student_t_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      T_partials_return P(0.0);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// Wrap arguments in vectors</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu, mu, sigma);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        operands_and_partials(y, nu, mu, sigma);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// Explicit return for extreme values</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); i++) {</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]) == -std::numeric_limits&lt;double&gt;::infinity())</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(<a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>());</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a>;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="comment">// Cache a few expensive function calls if nu is a parameter</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      T_partials_return digammaHalf = 0;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        digamma_vec(stan::length(nu));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        digammaNu_vec(stan::length(nu));</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        digammaNuPlusHalf_vec(stan::length(nu));</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
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+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        digammaHalf = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu); i++) {</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;          <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;          digammaNu_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5 * nu_dbl);</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          digammaNuPlusHalf_vec[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(0.5 + 0.5 * nu_dbl);</div>
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+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      }</div>
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+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="comment">// Compute vectorized cdf_log and gradient</span></div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="comment">// Explicit results for extreme values</span></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        <span class="comment">// The gradients are technically ill-defined, but treated as zero</span></div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) == std::numeric_limits&lt;double&gt;::infinity()) {</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          <span class="keywordflow">continue</span>;</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        }</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
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+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keyword">const</span> T_partials_return t = (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]) - <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]))</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          * sigma_inv;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keyword">const</span> T_partials_return q = nu_dbl / (t * t);</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keyword">const</span> T_partials_return r = 1.0 / (1.0 + q);</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        <span class="keyword">const</span> T_partials_return J = 2 * r * r * q / t;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keyword">const</span> T_partials_return betaNuHalf = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(<a class="code" href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">lbeta</a>(0.5, 0.5 * nu_dbl));</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        T_partials_return zJacobian = t &gt; 0 ? - 0.5 : 0.5;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        <span class="keywordflow">if</span> (q &lt; 2) {</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          T_partials_return z</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            = <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>(0.5 * nu_dbl, (T_partials_return)0.5, 1.0 - r);</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;          <span class="keyword">const</span> T_partials_return Pn = t &gt; 0 ? 1.0 - 0.5 * z : 0.5 * z;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;          <span class="keyword">const</span> T_partials_return d_ibeta = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(r, -0.5)</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1.0 - r, 0.5*nu_dbl - 1) / betaNuHalf;</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;              += - zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;            T_partials_return g1 = 0;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;            T_partials_return g2 = 0;</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;            <a class="code" href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a>(g1, g2, 0.5 * nu_dbl,</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                                          (T_partials_return)0.5, 1.0 - r,</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                                          digammaNu_vec[n], digammaHalf,</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;                                          digammaNuPlusHalf_vec[n],</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;                                          betaNuHalf);</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;              += zJacobian * (d_ibeta * (r / t) * (r / t) + 0.5 * g1) / Pn;</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;          }</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>)</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;              += zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">d_x4</a>[n]</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;              += zJacobian * d_ibeta * J * sigma_inv * t / Pn;</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;        } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;          T_partials_return z = 1.0 - <a class="code" href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">inc_beta</a>((T_partials_return)0.5,</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;                                               0.5*nu_dbl, r);</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;          zJacobian *= -1;</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;          <span class="keyword">const</span> T_partials_return Pn = t &gt; 0 ? 1.0 - 0.5 * z : 0.5 * z;</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;          T_partials_return d_ibeta = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(1.0-r, 0.5*nu_dbl-1) * <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(r, -0.5)</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;            / betaNuHalf;</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;          P += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Pn);</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;              += zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;          <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;            T_partials_return g1 = 0;</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;            T_partials_return g2 = 0;</div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;</div>
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+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;                                          0.5 * nu_dbl, r,</div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;                                          digammaHalf, digammaNu_vec[n],</div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;                                          digammaNuPlusHalf_vec[n],</div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;                                          betaNuHalf);</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;            operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;              += zJacobian * (- d_ibeta * (r / t) * (r / t) + 0.5 * g2) / Pn;</div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;          }</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;</div>
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+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;              += - zJacobian * d_ibeta * J * sigma_inv / Pn;</div>
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+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;              += - zJacobian * d_ibeta * J * sigma_inv * t / Pn;</div>
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+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;      }</div>
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+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(P);</div>
+<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;    }</div>
+<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;  }</div>
+<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;}</div>
+<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac51be9d210e223a8aa4241e2d725e295"><div class="ttname"><a href="namespacestan_1_1math.html#ac51be9d210e223a8aa4241e2d725e295">stan::math::lbeta</a></div><div class="ttdeci">fvar&lt; T &gt; lbeta(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lbeta_8hpp_source.html#l00016">lbeta.hpp:16</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0cf7b73942cfee4fec76599b966796d1"><div class="ttname"><a href="namespacestan_1_1math.html#a0cf7b73942cfee4fec76599b966796d1">stan::math::student_t_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_dof, T_loc, T_scale &gt;::type student_t_cdf_log(const T_y &amp;y, const T_dof &amp;nu, const T_loc &amp;mu, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="student__t__cdf__log_8hpp_source.html#l00033">student_t_cdf_log.hpp:33</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af9988ca802426ba048ba5d5d9ad71e2e"><div class="ttname"><a href="namespacestan_1_1math.html#af9988ca802426ba048ba5d5d9ad71e2e">stan::math::inc_beta</a></div><div class="ttdeci">fvar&lt; T &gt; inc_beta(const fvar&lt; T &gt; &amp;a, const fvar&lt; T &gt; &amp;b, const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2inc__beta_8hpp_source.html#l00020">inc_beta.hpp:20</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11eeb59eb3ae4f0710a7e417478c1212"><div class="ttname"><a href="namespacestan_1_1math.html#a11eeb59eb3ae4f0710a7e417478c1212">stan::math::grad_reg_inc_beta</a></div><div class="ttdeci">void grad_reg_inc_beta(T &amp;g1, T &amp;g2, T a, T b, T z, T digammaA, T digammaB, T digammaSum, T betaAB)</div><div class="ttdef"><b>Definition:</b> <a href="grad__reg__inc__beta_8hpp_source.html#l00014">grad_reg_inc_beta.hpp:14</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a173c58a8fd989264209ca8b451effc2e"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials::d_x4</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00042">OperandsAndPartials.hpp:42</a></div></div>
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+<div class="title">student_t_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/student_t_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="student__t__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a20962dd5b3da2477c4c2a9170904fb27"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a20962dd5b3da2477c4c2a9170904fb27"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a20962dd5b3da2477c4c2a9170904fb27">stan::math::student_t_log</a> (const T_y &amp;y, const T_dof &amp;nu, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="memdesc:a20962dd5b3da2477c4c2a9170904fb27"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of the Student-t density for the given y, nu, mean, and scale parameter.  <a href="namespacestan_1_1math.html#a20962dd5b3da2477c4c2a9170904fb27">More...</a><br /></td></tr>
+<tr class="separator:a20962dd5b3da2477c4c2a9170904fb27"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ab25a0e28b3bd50cfc9fb14e9f410bd3b"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:ab25a0e28b3bd50cfc9fb14e9f410bd3b"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_dof, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab25a0e28b3bd50cfc9fb14e9f410bd3b">stan::math::student_t_log</a> (const T_y &amp;y, const T_dof &amp;nu, const T_loc &amp;mu, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:ab25a0e28b3bd50cfc9fb14e9f410bd3b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">student_t_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="student__t__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_STUDENT_T_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_STUDENT_T_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2digamma_8hpp.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor">#include &lt;boost/random/student_t_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto, <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;              <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_dof, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a20962dd5b3da2477c4c2a9170904fb27">   58</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a20962dd5b3da2477c4c2a9170904fb27">student_t_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_dof&amp; nu, <span class="keyword">const</span> T_loc&amp; mu,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                  <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::student_t_log&quot;</span>);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html">stan::partials_return_type</a>&lt;T_y, T_dof, T_loc,</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                                                  T_scale&gt;::type</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(nu)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
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+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="comment">// validate args (here done over var, which should be OK)</span></div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                             <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu,</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_dof&gt;</a> nu_vec(nu);</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, nu, mu, sigma);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a>;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">stan::math::lgamma</a>;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a>;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_dof, T_loc, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;                    T_partials_return, T_dof&gt; half_nu(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu); i++)</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          half_nu[i] = 0.5 * <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                    T_partials_return, T_dof&gt; lgamma_half_nu(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        lgamma_half_nu_plus_half(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu); i++) {</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;          lgamma_half_nu[i] = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(half_nu[i]);</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          lgamma_half_nu_plus_half[i] = <a class="code" href="namespacestan_1_1math.html#aead76f03bdbc60484ad760fc31bad40f">lgamma</a>(half_nu[i] + 0.5);</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        }</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      }</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;                    T_partials_return, T_dof&gt; digamma_half_nu(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;!is_constant_struct&lt;T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                    T_partials_return, T_dof&gt;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        digamma_half_nu_plus_half(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu); i++) {</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;          digamma_half_nu[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(half_nu[i]);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          digamma_half_nu_plus_half[i] = <a class="code" href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">digamma</a>(half_nu[i] + 0.5);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;        }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;      }</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_dof&gt;::value</a>,</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                    T_partials_return, T_dof&gt; log_nu(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu));</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(nu); i++)</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;          log_nu[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]));</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;                    T_partials_return, T_scale&gt; log_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++)</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;          log_sigma[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]));</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_dof, T_loc, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;                    T_partials_return, T_y, T_dof, T_loc, T_scale&gt;</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        square_y_minus_mu_over_sigma__over_nu(N);</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_dof, T_loc, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;                    T_partials_return, T_y, T_dof, T_loc, T_scale&gt;</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">log1p_exp</a>(N);</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++)</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof, T_loc, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;          <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]);</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;          <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[i]);</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;          <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]);</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;          <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[i]);</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;          square_y_minus_mu_over_sigma__over_nu[i]</div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;            = <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>((y_dbl - mu_dbl) / sigma_dbl) / nu_dbl;</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;          log1p_exp[i] = <a class="code" href="namespacestan_1_1math.html#aa16e57e82fb1e17f74ef43592748ff32">log1p</a>(square_y_minus_mu_over_sigma__over_nu[i]);</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;        }</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_dof, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;        operands_and_partials(y, nu, mu, sigma);</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        <span class="keyword">const</span> T_partials_return nu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(nu_vec[n]);</div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;          logp += <a class="code" href="namespacestan_1_1math.html#afb4a282e2196987e10d2bb65f12ec55a">NEG_LOG_SQRT_PI</a>;</div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;          logp += lgamma_half_nu_plus_half[n] - lgamma_half_nu[n]</div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;            -  0.5 * log_nu[n];</div>
+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;          logp -= log_sigma[n];</div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;          logp -= (half_nu[n] + 0.5)</div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;            * log1p_exp[n];</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;            += -(half_nu[n]+0.5)</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;            * 1.0 / (1.0 + square_y_minus_mu_over_sigma__over_nu[n])</div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;            * (2.0 * (y_dbl - mu_dbl) / <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(sigma_dbl) / nu_dbl);</div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;        }</div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_dof&gt;::value</a>) {</div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;          <span class="keyword">const</span> T_partials_return inv_nu = 1.0 / nu_dbl;</div>
+<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;            += 0.5*digamma_half_nu_plus_half[n] - 0.5*digamma_half_nu[n]</div>
+<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;            - 0.5 * inv_nu</div>
+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;            - 0.5*log1p_exp[n]</div>
+<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;            + (half_nu[n] + 0.5)</div>
+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;            * (1.0/(1.0 + square_y_minus_mu_over_sigma__over_nu[n])</div>
+<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;               * square_y_minus_mu_over_sigma__over_nu[n] * inv_nu);</div>
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+<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;                  <span class="keyword">const</span> T_scale&amp; sigma) {</div>
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+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html"><div class="ttname"><a href="structstan_1_1partials__return__type.html">stan::partials_return_type</a></div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00016">partials_return_type.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a0fe928ad2b96b802f6d488ba43167489"><div class="ttname"><a href="namespacestan_1_1math.html#a0fe928ad2b96b802f6d488ba43167489">stan::math::log1p_exp</a></div><div class="ttdeci">fvar&lt; T &gt; log1p_exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log1p__exp_8hpp_source.html#l00013">log1p_exp.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a69702aaa101bf602072fa7bf5fccb48a"><div class="ttname"><a href="namespacestan_1_1math.html#a69702aaa101bf602072fa7bf5fccb48a">stan::math::digamma</a></div><div class="ttdeci">fvar&lt; T &gt; digamma(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2digamma_8hpp_source.html#l00016">digamma.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a173c58a8fd989264209ca8b451effc2e"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a173c58a8fd989264209ca8b451effc2e">stan::math::OperandsAndPartials::d_x4</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x4</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00042">OperandsAndPartials.hpp:42</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/student_t_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lbeta_8hpp_source.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lgamma_8hpp_source.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2digamma_8hpp_source.html">stan/math/prim/scal/fun/digamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="grad__reg__inc__beta_8hpp_source.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2inc__beta_8hpp_source.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+</div>
+<p><a href="student__t__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a4d151fedbd83f49080ef17c148ef1dad"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a4d151fedbd83f49080ef17c148ef1dad"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4d151fedbd83f49080ef17c148ef1dad">stan::math::student_t_rng</a> (const double nu, const double mu, const double sigma, RNG &amp;rng)</td></tr>
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+<a href="student__t__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_STUDENT_T_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_STUDENT_T_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/student_t_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lbeta_8hpp.html">stan/math/prim/scal/fun/lbeta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lgamma_8hpp.html">stan/math/prim/scal/fun/lgamma.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="grad__reg__inc__beta_8hpp.html">stan/math/prim/scal/fun/grad_reg_inc_beta.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2inc__beta_8hpp.html">stan/math/prim/scal/fun/inc_beta.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
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+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a4d151fedbd83f49080ef17c148ef1dad">   28</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4d151fedbd83f49080ef17c148ef1dad">student_t_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> nu,</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;                  <span class="keyword">const</span> <span class="keywordtype">double</span> mu,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                  <span class="keyword">const</span> <span class="keywordtype">double</span> sigma,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                  RNG&amp; rng) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> boost::random::student_t_distribution;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::student_t_rng&quot;</span>);</div>
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+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
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+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location parameter&quot;</span>, mu);</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      variate_generator&lt;RNG&amp;, student_t_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        rng_unit_student_t(rng, student_t_distribution&lt;&gt;(nu));</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">return</span> mu + sigma * rng_unit_student_t();</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    }</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  }</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;}</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lgamma_8hpp.html">lgamma.hpp</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2digamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2digamma_8hpp.html">digamma.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a4d151fedbd83f49080ef17c148ef1dad"><div class="ttname"><a href="namespacestan_1_1math.html#a4d151fedbd83f49080ef17c148ef1dad">stan::math::student_t_rng</a></div><div class="ttdeci">double student_t_rng(const double nu, const double mu, const double sigma, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="student__t__rng_8hpp_source.html#l00028">student_t_rng.hpp:28</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="grad__reg__inc__beta_8hpp_html"><div class="ttname"><a href="grad__reg__inc__beta_8hpp.html">grad_reg_inc_beta.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lbeta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lbeta_8hpp.html">lbeta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2inc__beta_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2inc__beta_8hpp.html">inc_beta.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<a href="#namespaces">Namespaces</a> &#124;
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+<div class="textblock"><code>#include &lt;vector&gt;</code><br />
+<code>#include &lt;cstddef&gt;</code><br />
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+<p><a href="sub_8hpp_source.html">Go to the source code of this file.</a></p>
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+<a href="sub_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_ARR_FUN_SUB_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_ARR_FUN_SUB_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;cstddef&gt;</span></div>
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+<div class="title">sub_col.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__row__index_8hpp_source.html">stan/math/prim/mat/err/check_row_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__column__index_8hpp_source.html">stan/math/prim/mat/err/check_column_index.hpp</a>&gt;</code><br />
+</div>
+<p><a href="sub__col_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a943cb439569c2dc588661a1cc171e2d2"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a943cb439569c2dc588661a1cc171e2d2"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a943cb439569c2dc588661a1cc171e2d2">stan::math::sub_col</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m, size_t i, size_t j, size_t nrows)</td></tr>
+<tr class="memdesc:a943cb439569c2dc588661a1cc171e2d2"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a nrows x 1 subcolumn starting at (i-1, j-1).  <a href="namespacestan_1_1math.html#a943cb439569c2dc588661a1cc171e2d2">More...</a><br /></td></tr>
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+<div class="title">sub_col.hpp</div>  </div>
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+<a href="sub__col_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_SUB_COL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_SUB_COL_HPP</span></div>
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+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
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+<div class="line"><a name="l00022"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a943cb439569c2dc588661a1cc171e2d2">   22</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a943cb439569c2dc588661a1cc171e2d2">sub_col</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; m,</div>
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+<div class="ttc" id="check__column__index_8hpp_html"><div class="ttname"><a href="check__column__index_8hpp.html">check_column_index.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__row__index_8hpp_source.html">stan/math/prim/mat/err/check_row_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__column__index_8hpp_source.html">stan/math/prim/mat/err/check_column_index.hpp</a>&gt;</code><br />
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+<p><a href="sub__row_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a019d635ee39f24b69c3f27e96bba4be1"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a019d635ee39f24b69c3f27e96bba4be1"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, 1, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a019d635ee39f24b69c3f27e96bba4be1">stan::math::sub_row</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;m, size_t i, size_t j, size_t ncols)</td></tr>
+<tr class="memdesc:a019d635ee39f24b69c3f27e96bba4be1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return a 1 x nrows subrow starting at (i-1, j-1).  <a href="namespacestan_1_1math.html#a019d635ee39f24b69c3f27e96bba4be1">More...</a><br /></td></tr>
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+<div class="ttc" id="check__row__index_8hpp_html"><div class="ttname"><a href="check__row__index_8hpp.html">check_row_index.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a16b0a60f741f97efac53254839f24ff8"><div class="ttname"><a href="namespacestan_1_1math.html#a16b0a60f741f97efac53254839f24ff8">stan::math::check_column_index</a></div><div class="ttdeci">bool check_column_index(const char *function, const char *name, const Eigen::Matrix&lt; T_y, R, C &gt; &amp;y, const size_t i)</div><div class="ttdoc">Return true if the specified index is a valid column of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="check__column__index_8hpp_source.html#l00037">check_column_index.hpp:37</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__matching__dims_8hpp_source.html">stan/math/prim/mat/err/check_matching_dims.hpp</a>&gt;</code><br />
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+<p><a href="subtract_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a38ba678d90cda4868c14d6d6bc6b509d"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
+<tr class="memitem:a38ba678d90cda4868c14d6d6bc6b509d"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a38ba678d90cda4868c14d6d6bc6b509d">stan::math::subtract</a> (const Eigen::Matrix&lt; T1, R, C &gt; &amp;m1, const Eigen::Matrix&lt; T2, R, C &gt; &amp;m2)</td></tr>
+<tr class="memdesc:a38ba678d90cda4868c14d6d6bc6b509d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the result of subtracting the second specified matrix from the first specified matrix.  <a href="namespacestan_1_1math.html#a38ba678d90cda4868c14d6d6bc6b509d">More...</a><br /></td></tr>
+<tr class="separator:a38ba678d90cda4868c14d6d6bc6b509d"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a46fb2ca306088487251df70b19e73aff"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
+<tr class="memitem:a46fb2ca306088487251df70b19e73aff"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a46fb2ca306088487251df70b19e73aff">stan::math::subtract</a> (const T1 &amp;c, const Eigen::Matrix&lt; T2, R, C &gt; &amp;m)</td></tr>
+<tr class="separator:a46fb2ca306088487251df70b19e73aff"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9a8a3f79fa67648f8145c6692d19334b"><td class="memTemplParams" colspan="2">template&lt;typename T1 , typename T2 , int R, int C&gt; </td></tr>
+<tr class="memitem:a9a8a3f79fa67648f8145c6692d19334b"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; typename boost::math::tools::promote_args&lt; T1, T2 &gt;::type, R, C &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9a8a3f79fa67648f8145c6692d19334b">stan::math::subtract</a> (const Eigen::Matrix&lt; T1, R, C &gt; &amp;m, const T2 &amp;c)</td></tr>
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+<a href="subtract_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_SUBTRACT_HPP</span></div>
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+<div class="ttc" id="check__matching__dims_8hpp_html"><div class="ttname"><a href="check__matching__dims_8hpp.html">check_matching_dims.hpp</a></div></div>
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+<div class="title">tail.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__column__index_8hpp_source.html">stan/math/prim/mat/err/check_column_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__row__index_8hpp_source.html">stan/math/prim/mat/err/check_row_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__std__vector__index_8hpp_source.html">stan/math/prim/mat/err/check_std_vector_index.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="arr_2meta_2index__type_8hpp_source.html">stan/math/prim/arr/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="tail_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+<tr class="memitem:a55548f1b502d1dd6283268b79fc41507"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
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+<tr class="memdesc:a55548f1b502d1dd6283268b79fc41507"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified number of elements as a vector from the back of the specified vector.  <a href="namespacestan_1_1math.html#a55548f1b502d1dd6283268b79fc41507">More...</a><br /></td></tr>
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+<tr class="memdesc:a7d79ddf4f28c8bd68ae569b94fb693c6"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the specified number of elements as a row vector from the back of the specified row vector.  <a href="namespacestan_1_1math.html#a7d79ddf4f28c8bd68ae569b94fb693c6">More...</a><br /></td></tr>
+<tr class="separator:a7d79ddf4f28c8bd68ae569b94fb693c6"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a9956cf78180c6340f61667e797cf7055"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a9956cf78180c6340f61667e797cf7055"><td class="memTemplItemLeft" align="right" valign="top">std::vector&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a9956cf78180c6340f61667e797cf7055">stan::math::tail</a> (const std::vector&lt; T &gt; &amp;sv, size_t n)</td></tr>
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+<div class="title">tail.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="tail_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_TAIL_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_TAIL_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__column__index_8hpp.html">stan/math/prim/mat/err/check_column_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__row__index_8hpp.html">stan/math/prim/mat/err/check_row_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__std__vector__index_8hpp.html">stan/math/prim/mat/err/check_std_vector_index.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="arr_2meta_2index__type_8hpp.html">stan/math/prim/arr/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;</div>
+<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a55548f1b502d1dd6283268b79fc41507">   23</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a55548f1b502d1dd6283268b79fc41507">tail</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T, Eigen::Dynamic, 1&gt;&amp; v,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;         <span class="keywordtype">size_t</span> n) {</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keywordflow">if</span> (n != 0)</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        <a class="code" href="namespacestan_1_1math.html#acb080867499e68f688b0dcb5c8f4e061">stan::math::check_row_index</a>(<span class="stringliteral">&quot;tail&quot;</span>, <span class="stringliteral">&quot;n&quot;</span>, v, n);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keywordflow">return</span> v.tail(n);</div>
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+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">inline</span></div>
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+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">if</span> (n != 0)</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
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+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      std::vector&lt;T&gt; s;</div>
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+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;  }</div>
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+<div class="ttc" id="check__std__vector__index_8hpp_html"><div class="ttname"><a href="check__std__vector__index_8hpp.html">check_std_vector_index.hpp</a></div></div>
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+<div class="ttc" id="check__row__index_8hpp_html"><div class="ttname"><a href="check__row__index_8hpp.html">check_row_index.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7ed873db07e833c14413c319a5bb9837"><div class="ttname"><a href="namespacestan_1_1math.html#a7ed873db07e833c14413c319a5bb9837">stan::math::check_std_vector_index</a></div><div class="ttdeci">bool check_std_vector_index(const char *function, const char *name, const std::vector&lt; T &gt; &amp;y, int i)</div><div class="ttdoc">Return true if the specified index is valid in std vector. </div><div class="ttdef"><b>Definition:</b> <a href="check__std__vector__index_8hpp_source.html#l00030">check_std_vector_index.hpp:30</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a16b0a60f741f97efac53254839f24ff8"><div class="ttname"><a href="namespacestan_1_1math.html#a16b0a60f741f97efac53254839f24ff8">stan::math::check_column_index</a></div><div class="ttdeci">bool check_column_index(const char *function, const char *name, const Eigen::Matrix&lt; T_y, R, C &gt; &amp;y, const size_t i)</div><div class="ttdoc">Return true if the specified index is a valid column of the matrix. </div><div class="ttdef"><b>Definition:</b> <a href="check__column__index_8hpp_source.html#l00037">check_column_index.hpp:37</a></div></div>
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+<code>#include &lt;<a class="el" href="scal_2meta_2scalar__type_8hpp_source.html">stan/math/prim/scal/meta/scalar_type.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:aa21ef8b682892947fbb2059e137d03dd"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
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+<a href="to__array__1d_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_TO_ARRAY_1D_HPP</span></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
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+<a href="to__array__2d_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_TO_ARRAY_2D_HPP</span></div>
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+<code>#include &lt;vector&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a1c5c1dfd195623ec3ff7343d3f24e968"><td class="memTemplParams" colspan="2">template&lt;typename T , int R, int C&gt; </td></tr>
+<tr class="memitem:a1c5c1dfd195623ec3ff7343d3f24e968"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a1c5c1dfd195623ec3ff7343d3f24e968">stan::math::to_matrix</a> (Eigen::Matrix&lt; T, R, C &gt; matrix)</td></tr>
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+<a href="to__matrix_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_TO_MATRIX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_TO_MATRIX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160; <span class="comment">// stan::scalar_type</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="comment">// matrix to_matrix(matrix)</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="comment">// matrix to_matrix(vector)</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="comment">// matrix to_matrix(row_vector)</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keywordtype">int</span> R, <span class="keywordtype">int</span> C&gt;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;T, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00016"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a1c5c1dfd195623ec3ff7343d3f24e968">   16</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a1c5c1dfd195623ec3ff7343d3f24e968">to_matrix</a>(Eigen::Matrix&lt;T, R, C&gt; matrix) {</div>
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+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      } <span class="keywordflow">else</span> {</div>
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+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      }</div>
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+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;  }</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;}</div>
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+<code>#include &lt;vector&gt;</code><br />
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+<a href="to__row__vector_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_TO_ROW_VECTOR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_TO_ROW_VECTOR_HPP</span></div>
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+<code>#include &lt;vector&gt;</code><br />
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+<tr class="memitem:a5fbc759ea8f0f34b3dd92e0617c4ea02"><td class="memItemLeft" align="right" valign="top">Eigen::Matrix&lt; double, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5fbc759ea8f0f34b3dd92e0617c4ea02">stan::math::to_vector</a> (const std::vector&lt; int &gt; &amp;vec)</td></tr>
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+<a href="to__vector_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_TO_VECTOR_HPP</span></div>
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+<tr class="memdesc:a7001fd7e0296d5dae6ab0a88e1a28547"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the trace of the specified matrix.  <a href="namespacestan_1_1math.html#a7001fd7e0296d5dae6ab0a88e1a28547">More...</a><br /></td></tr>
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+<div class="textblock"><code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<p><a href="trigamma_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ab18c21bad37c9af26424d0922936355e"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:ab18c21bad37c9af26424d0922936355e"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ab18c21bad37c9af26424d0922936355e">stan::math::trigamma</a> (T x)</td></tr>
+<tr class="memdesc:ab18c21bad37c9af26424d0922936355e"><td class="mdescLeft">&#160;</td><td class="mdescRight"><p class="formulaDsp">
+<img class="formulaDsp" alt="\[ \mbox{trigamma}(x) = \begin{cases} \textrm{error} &amp; \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\ \Psi_1(x) &amp; \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt] \textrm{NaN} &amp; \mbox{if } x = \textrm{NaN} \end{cases} \]" src="form_184.png"/>
+</p>
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+<div class="title">trigamma.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="trigamma_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_TRIGAMMA_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_TRIGAMMA_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;  <span class="comment">// Reference:</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;  <span class="comment">//   BE Schneider,</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;  <span class="comment">//   Algorithm AS 121:</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;  <span class="comment">//   Trigamma Function,</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="comment">//   Applied Statistics,</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="comment">//   Volume 27, Number 1, pages 97-99, 1978.</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    T</div>
+<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ab18c21bad37c9af26424d0922936355e">   50</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ab18c21bad37c9af26424d0922936355e">trigamma</a>(T x) {</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a16e5a2666b377e37fe807765ba5f6aaf">std::floor</a>;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">std::sin</a>;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keywordtype">double</span> small = 0.0001;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordtype">double</span> large = 5.0;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      T value;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      T y;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      T z;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// bernoulli numbers</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordtype">double</span> b2 =  1.0 / 6.0;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordtype">double</span> b4 = -1.0 / 30.0;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordtype">double</span> b6 =  1.0 / 42.0;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keywordtype">double</span> b8 = -1.0 / 30.0;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// negative integers and zero return postiive infinity</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="comment">// see http:// mathworld.wolfram.com/PolygammaFunction.html</span></div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">if</span> ((x &lt;= 0.0) &amp;&amp; (<a class="code" href="namespacestan_1_1math.html#a16e5a2666b377e37fe807765ba5f6aaf">floor</a>(x) == x)) {</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        value = <a class="code" href="namespacestan_1_1math.html#a34675a70d3df614d88d33ddbdd49b49a">positive_infinity</a>();</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keywordflow">return</span> value;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="comment">// negative non-integers: use the reflection formula</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="comment">// see http:// mathworld.wolfram.com/PolygammaFunction.html</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordflow">if</span> ((x &lt;= 0) &amp;&amp; (<a class="code" href="namespacestan_1_1math.html#a16e5a2666b377e37fe807765ba5f6aaf">floor</a>(x) != x)) {</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        value = -<a class="code" href="namespacestan_1_1math.html#ab18c21bad37c9af26424d0922936355e">trigamma</a>(-x + 1.0) + (<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>() / <a class="code" href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">sin</a>(-<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>() * x))</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;          * (<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>() / <a class="code" href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">sin</a>(-<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>() * x));</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="keywordflow">return</span> value;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      }</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="comment">// small value approximation if x &lt;= small.</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordflow">if</span> (x &lt;= small)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keywordflow">return</span> 1.0 / (x * x);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="comment">// use recurrence relation until x &gt;= large</span></div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="comment">// see http:// mathworld.wolfram.com/PolygammaFunction.html</span></div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      z = x;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      value = 0.0;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordflow">while</span> (z &lt; large) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        value += 1.0 / (z * z);</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        z += 1.0;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="comment">// asymptotic expansion as a Laurent series if x &gt;= large</span></div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="comment">// see http:// en.wikipedia.org/wiki/Trigamma_function</span></div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      y = 1.0 / (z * z);</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      value += 0.5 * y + (1.0 + y * (b2  + y * (b4 + y * (b6 + y * b8)))) / z;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keywordflow">return</span> value;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    }</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;  }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;}</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab18c21bad37c9af26424d0922936355e"><div class="ttname"><a href="namespacestan_1_1math.html#ab18c21bad37c9af26424d0922936355e">stan::math::trigamma</a></div><div class="ttdeci">T trigamma(T x)</div><div class="ttdoc"> </div><div class="ttdef"><b>Definition:</b> <a href="trigamma_8hpp_source.html#l00050">trigamma.hpp:50</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aff3f2dd84567a0566cfdd7eb10e13607"><div class="ttname"><a href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">stan::math::sin</a></div><div class="ttdeci">fvar&lt; T &gt; sin(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sin_8hpp_source.html#l00014">sin.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34675a70d3df614d88d33ddbdd49b49a"><div class="ttname"><a href="namespacestan_1_1math.html#a34675a70d3df614d88d33ddbdd49b49a">stan::math::positive_infinity</a></div><div class="ttdeci">double positive_infinity()</div><div class="ttdoc">Return positive infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00123">constants.hpp:123</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16e5a2666b377e37fe807765ba5f6aaf"><div class="ttname"><a href="namespacestan_1_1math.html#a16e5a2666b377e37fe807765ba5f6aaf">stan::math::floor</a></div><div class="ttdeci">fvar&lt; T &gt; floor(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2floor_8hpp_source.html#l00011">floor.hpp:11</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa2ffd66726e0532160e16e6b48d6f428"><div class="ttname"><a href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a></div><div class="ttdeci">double pi()</div><div class="ttdoc">Return the value of pi. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00086">constants.hpp:86</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="textblock"><code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="identity__constrain_8hpp_source.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
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+<p><a href="ub__constrain_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:ad9440f04c389ecf55094919dd4a29561"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TU &gt; </td></tr>
+<tr class="memitem:ad9440f04c389ecf55094919dd4a29561"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T, TU &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ad9440f04c389ecf55094919dd4a29561">stan::math::ub_constrain</a> (const T x, const TU ub)</td></tr>
+<tr class="memdesc:ad9440f04c389ecf55094919dd4a29561"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the upper-bounded value for the specified unconstrained scalar and upper bound.  <a href="namespacestan_1_1math.html#ad9440f04c389ecf55094919dd4a29561">More...</a><br /></td></tr>
+<tr class="separator:ad9440f04c389ecf55094919dd4a29561"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a0e07e6f25d9cc21ce1467d0d74913a74"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TU &gt; </td></tr>
+<tr class="memitem:a0e07e6f25d9cc21ce1467d0d74913a74"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T, TU &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a0e07e6f25d9cc21ce1467d0d74913a74">stan::math::ub_constrain</a> (const T x, const TU ub, T &amp;lp)</td></tr>
+<tr class="memdesc:a0e07e6f25d9cc21ce1467d0d74913a74"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the upper-bounded value for the specified unconstrained scalar and upper bound and increment the specified log probability reference with the log absolute Jacobian determinant of the transform.  <a href="namespacestan_1_1math.html#a0e07e6f25d9cc21ce1467d0d74913a74">More...</a><br /></td></tr>
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+<a href="ub__constrain_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_UB_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_FUN_UB_CONSTRAIN_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/math/tools/promotion.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="identity__constrain_8hpp.html">stan/math/prim/scal/fun/identity_constrain.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;limits&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;    <span class="comment">// UPPER BOUND</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> TU&gt;</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T, TU&gt;::type</div>
+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ad9440f04c389ecf55094919dd4a29561">   37</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ad9440f04c389ecf55094919dd4a29561">ub_constrain</a>(<span class="keyword">const</span> T x, <span class="keyword">const</span> TU ub) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keywordflow">if</span> (ub == std::numeric_limits&lt;double&gt;::infinity())</div>
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+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">if</span> (ub == std::numeric_limits&lt;double&gt;::infinity())</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
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+<div class="ttc" id="identity__constrain_8hpp_html"><div class="ttname"><a href="identity__constrain_8hpp.html">identity_constrain.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad9440f04c389ecf55094919dd4a29561"><div class="ttname"><a href="namespacestan_1_1math.html#ad9440f04c389ecf55094919dd4a29561">stan::math::ub_constrain</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T, TU &gt;::type ub_constrain(const T x, const TU ub)</div><div class="ttdoc">Return the upper-bounded value for the specified unconstrained scalar and upper bound. </div><div class="ttdef"><b>Definition:</b> <a href="ub__constrain_8hpp_source.html#l00037">ub_constrain.hpp:37</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_afa7ea9a437cf38e48ec72cec173d7465"><div class="ttname"><a href="namespacestan_1_1math.html#afa7ea9a437cf38e48ec72cec173d7465">stan::math::identity_constrain</a></div><div class="ttdeci">T identity_constrain(T x)</div><div class="ttdoc">Returns the result of applying the identity constraint transform to the input. </div><div class="ttdef"><b>Definition:</b> <a href="identity__constrain_8hpp_source.html#l00022">identity_constrain.hpp:22</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="identity__free_8hpp_source.html">stan/math/prim/scal/fun/identity_free.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__less__or__equal_8hpp_source.html">stan/math/prim/scal/err/check_less_or_equal.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/promotion.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;limits&gt;</code><br />
+</div>
+<p><a href="ub__free_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:ac11bdd8c7f6eed39bbac5a663c8a81bc"><td class="memTemplParams" colspan="2">template&lt;typename T , typename TU &gt; </td></tr>
+<tr class="memitem:ac11bdd8c7f6eed39bbac5a663c8a81bc"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T, TU &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ac11bdd8c7f6eed39bbac5a663c8a81bc">stan::math::ub_free</a> (const T y, const TU ub)</td></tr>
+<tr class="memdesc:ac11bdd8c7f6eed39bbac5a663c8a81bc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Return the free scalar that corresponds to the specified upper-bounded value with respect to the specified upper bound.  <a href="namespacestan_1_1math.html#ac11bdd8c7f6eed39bbac5a663c8a81bc">More...</a><br /></td></tr>
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+<a href="ub__free_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_FUN_UB_FREE_HPP</span></div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T, <span class="keyword">typename</span> TU&gt;</div>
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+<div class="ttc" id="check__less__or__equal_8hpp_html"><div class="ttname"><a href="check__less__or__equal_8hpp.html">check_less_or_equal.hpp</a></div></div>
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+<div class="ttc" id="identity__free_8hpp_html"><div class="ttname"><a href="identity__free_8hpp.html">identity_free.hpp</a></div></div>
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+<div class="title">uniform_ccdf_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/uniform_real_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="uniform__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a5e2b8fa3c8f27cf5fe06e35971810d52"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_low , typename T_high &gt; </td></tr>
+<tr class="memitem:a5e2b8fa3c8f27cf5fe06e35971810d52"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_low, T_high &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a5e2b8fa3c8f27cf5fe06e35971810d52">stan::math::uniform_ccdf_log</a> (const T_y &amp;y, const T_low &amp;alpha, const T_high &amp;beta)</td></tr>
+<tr class="separator:a5e2b8fa3c8f27cf5fe06e35971810d52"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">uniform_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="uniform__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_UNIFORM_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_UNIFORM_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_real_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_low, <span class="keyword">typename</span> T_high&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_low, T_high&gt;::type</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a5e2b8fa3c8f27cf5fe06e35971810d52">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a5e2b8fa3c8f27cf5fe06e35971810d52">uniform_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_low&amp; alpha, <span class="keyword">const</span> T_high&amp; beta) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::uniform_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_low, T_high&gt;::type</a></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Lower bound parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">check_greater</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta, alpha);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                             <span class="stringliteral">&quot;Lower bound parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_low&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_high&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keywordflow">if</span> (y_dbl &lt; <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n])</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            || y_dbl &gt; <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]))</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;          <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">if</span> (y_dbl == <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]))</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      }</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_low, T_high&gt;</a></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keyword">const</span> T_partials_return b_min_a = beta_dbl - alpha_dbl;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keyword">const</span> T_partials_return ccdf_log_ = 1.0 - (y_dbl - alpha_dbl) / b_min_a;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="comment">// ccdf_log</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        ccdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(ccdf_log_);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= 1.0 / b_min_a / ccdf_log_;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_low&gt;::value</a>)</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= (y_dbl - beta_dbl) / b_min_a</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;            / b_min_a / ccdf_log_;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_high&gt;::value</a>)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += (y_dbl - alpha_dbl) / b_min_a</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;            / b_min_a / ccdf_log_;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      }</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(ccdf_log);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;  }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;}</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_acd99e429af3a997976a017d6a580e3f9"><div class="ttname"><a href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">stan::math::LOG_ZERO</a></div><div class="ttdeci">const double LOG_ZERO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00175">constants.hpp:175</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5e2b8fa3c8f27cf5fe06e35971810d52"><div class="ttname"><a href="namespacestan_1_1math.html#a5e2b8fa3c8f27cf5fe06e35971810d52">stan::math::uniform_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_low, T_high &gt;::type uniform_ccdf_log(const T_y &amp;y, const T_low &amp;alpha, const T_high &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="uniform__ccdf__log_8hpp_source.html#l00025">uniform_ccdf_log.hpp:25</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><div class="ttname"><a href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a></div><div class="ttdeci">bool check_greater(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is strictly greater than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater_8hpp_source.html#l00084">check_greater.hpp:84</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
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+  <i>&copy; 2011&ndash;2016,
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/uniform_real_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+</div>
+<p><a href="uniform__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:aa15c5027f6cc08a719ce42c82f42e8ab"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_low , typename T_high &gt; </td></tr>
+<tr class="memitem:aa15c5027f6cc08a719ce42c82f42e8ab"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_low, T_high &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa15c5027f6cc08a719ce42c82f42e8ab">stan::math::uniform_cdf</a> (const T_y &amp;y, const T_low &amp;alpha, const T_high &amp;beta)</td></tr>
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+<div class="title">uniform_cdf.hpp</div>  </div>
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+<a href="uniform__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_UNIFORM_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_UNIFORM_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_real_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_low, T_high&gt;::type</a></div>
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+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
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+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
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+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Lower bound parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">check_greater</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta, alpha);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;                             <span class="stringliteral">&quot;Lower bound parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                             <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_low&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_high&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <span class="keywordflow">if</span> (y_dbl &lt; <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n])</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            || y_dbl &gt; <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]))</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;          <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      }</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_low, T_high&gt;</a></div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="keyword">const</span> T_partials_return b_min_a = beta_dbl - alpha_dbl;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return cdf_ = (y_dbl - alpha_dbl) / b_min_a;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="comment">// cdf</span></div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        cdf *= cdf_;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += 1.0 / b_min_a / cdf_;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_low&gt;::value</a>)</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += (y_dbl - beta_dbl) / b_min_a</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            / b_min_a / cdf_;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_high&gt;::value</a>)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= 1.0 / b_min_a;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      }</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] *= cdf;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      }</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_low&gt;::value</a>) {</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha); ++n)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] *= cdf;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_high&gt;::value</a>) {</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta); ++n)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] *= cdf;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf);</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    }</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;  }</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;}</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa15c5027f6cc08a719ce42c82f42e8ab"><div class="ttname"><a href="namespacestan_1_1math.html#aa15c5027f6cc08a719ce42c82f42e8ab">stan::math::uniform_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_low, T_high &gt;::type uniform_cdf(const T_y &amp;y, const T_low &amp;alpha, const T_high &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="uniform__cdf_8hpp_source.html#l00024">uniform_cdf.hpp:24</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><div class="ttname"><a href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a></div><div class="ttdeci">bool check_greater(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is strictly greater than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater_8hpp_source.html#l00084">check_greater.hpp:84</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/uniform_real_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="uniform__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a8f377bbfcb2c65d7c9b22f2a007cdc71"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_low , typename T_high &gt; </td></tr>
+<tr class="memitem:a8f377bbfcb2c65d7c9b22f2a007cdc71"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_low, T_high &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8f377bbfcb2c65d7c9b22f2a007cdc71">stan::math::uniform_cdf_log</a> (const T_y &amp;y, const T_low &amp;alpha, const T_high &amp;beta)</td></tr>
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+<a href="uniform__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_UNIFORM_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_UNIFORM_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_real_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_low, <span class="keyword">typename</span> T_high&gt;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_low, T_high&gt;::type</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8f377bbfcb2c65d7c9b22f2a007cdc71">   25</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a8f377bbfcb2c65d7c9b22f2a007cdc71">uniform_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_low&amp; alpha, <span class="keyword">const</span> T_high&amp; beta) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::uniform_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_low, T_high&gt;::type</a></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a>;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Lower bound parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">check_greater</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta, alpha);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;                             <span class="stringliteral">&quot;Lower bound parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;                             <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_low&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_high&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_low, T_high&gt;</a></div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">if</span> (y_dbl &lt; <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n])</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;            || y_dbl &gt; <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]))</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>();</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        <span class="keywordflow">if</span> (y_dbl == <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]))</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;          <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(0.0);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      }</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;        <span class="keyword">const</span> T_partials_return beta_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]);</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keyword">const</span> T_partials_return b_min_a = beta_dbl - alpha_dbl;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;        <span class="keyword">const</span> T_partials_return cdf_log_ = (y_dbl - alpha_dbl) / b_min_a;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;        <span class="comment">// cdf_log</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        cdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(cdf_log_);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += 1.0 / b_min_a / cdf_log_;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_low&gt;::value</a>)</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += (y_dbl - beta_dbl) / b_min_a</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;            / b_min_a / cdf_log_;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_high&gt;::value</a>)</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= 1.0 / b_min_a;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      }</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;  }</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;}</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7942532ef8f89cee24af75a383835ee1"><div class="ttname"><a href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a></div><div class="ttdeci">bool check_not_nan(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is not NaN. </div><div class="ttdef"><b>Definition:</b> <a href="check__not__nan_8hpp_source.html#l00063">check_not_nan.hpp:63</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a8f377bbfcb2c65d7c9b22f2a007cdc71"><div class="ttname"><a href="namespacestan_1_1math.html#a8f377bbfcb2c65d7c9b22f2a007cdc71">stan::math::uniform_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_low, T_high &gt;::type uniform_cdf_log(const T_y &amp;y, const T_low &amp;alpha, const T_high &amp;beta)</div><div class="ttdef"><b>Definition:</b> <a href="uniform__cdf__log_8hpp_source.html#l00025">uniform_cdf_log.hpp:25</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
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+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/uniform_real_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<p><a href="uniform__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:ae39a215713172d13a104cf33d6186c65"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of a uniform density for the given y, lower, and upper bound.  <a href="namespacestan_1_1math.html#ae39a215713172d13a104cf33d6186c65">More...</a><br /></td></tr>
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+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_real_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="comment">// CONTINUOUS, UNIVARIATE DENSITIES</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;<span class="comment"></span>    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_low, <span class="keyword">typename</span> T_high&gt;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_low, T_high&gt;::type</div>
+<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae39a215713172d13a104cf33d6186c65">   48</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae39a215713172d13a104cf33d6186c65">uniform_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_low&amp; alpha, <span class="keyword">const</span> T_high&amp; beta) {</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::uniform_log&quot;</span>);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_low, T_high&gt;::type</a></div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a>;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)))</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Lower bound parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">check_greater</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta, alpha);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                             <span class="stringliteral">&quot;Lower bound parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                             <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta);</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_low, T_high&gt;::value</a>)</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_low&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_high&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta);</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keywordflow">if</span> (y_dbl &lt; <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n])</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;            || y_dbl &gt; <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[n]))</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      }</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_low, T_high&gt;::value</a>,</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;                    T_partials_return, T_low, T_high&gt;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        inv_beta_minus_alpha(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta); i++)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_low, T_high&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          inv_beta_minus_alpha[i]</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            = 1.0 / (<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(beta_vec[i]) - <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]));</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_low, T_high&gt;::value</a>,</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;                    T_partials_return, T_low, T_high&gt;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        log_beta_minus_alpha(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta));</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(alpha, beta); i++)</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_low, T_high&gt;::value</a>)</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          log_beta_minus_alpha[i]</div>
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+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_low, T_high&gt;</a></div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        operands_and_partials(y, alpha, beta);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_low, T_high&gt;::value</a>)</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;          logp -= log_beta_minus_alpha[n];</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;</div>
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+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += inv_beta_minus_alpha[n];</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_high&gt;::value</a>)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= inv_beta_minus_alpha[n];</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      }</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
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+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
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+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    <span class="keyword">inline</span></div>
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+<div class="line"><a name="l00126"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a9c32b2aba8ca5e5eb4ebe76fd1f9a832">  126</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae39a215713172d13a104cf33d6186c65">uniform_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_low&amp; alpha, <span class="keyword">const</span> T_high&amp; beta) {</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;      <span class="keywordflow">return</span> uniform_log&lt;false&gt;(y, alpha, beta);</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    }</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;  }</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;}</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;boost/random/uniform_real_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+<p><a href="uniform__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memitem:a10447d2a77f0fdf32e0adce2546cd3cd"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a10447d2a77f0fdf32e0adce2546cd3cd"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">stan::math::uniform_rng</a> (const double alpha, const double beta, RNG &amp;rng)</td></tr>
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diff --git a/doc/api/html/uniform__rng_8hpp_source.html b/doc/api/html/uniform__rng_8hpp_source.html
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+<div class="title">uniform_rng.hpp</div>  </div>
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+<div class="contents">
+<a href="uniform__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_UNIFORM_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_UNIFORM_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/uniform_real_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
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+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> beta,</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;      <span class="keyword">using</span> boost::random::uniform_real_distribution;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::uniform_rng&quot;</span>);</div>
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+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
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+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">check_greater</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Upper bound parameter&quot;</span>, beta, alpha);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      variate_generator&lt;RNG&amp;, uniform_real_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">uniform_rng</a>(rng, uniform_real_distribution&lt;&gt;(alpha, beta));</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">uniform_rng</a>();</div>
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+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a10447d2a77f0fdf32e0adce2546cd3cd"><div class="ttname"><a href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">stan::math::uniform_rng</a></div><div class="ttdeci">double uniform_rng(const double alpha, const double beta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="uniform__rng_8hpp_source.html#l00021">uniform_rng.hpp:21</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><div class="ttname"><a href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a></div><div class="ttdeci">bool check_greater(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is strictly greater than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater_8hpp_source.html#l00084">check_greater.hpp:84</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="_eigen_8hpp_source.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__unit__vector_8hpp_source.html">stan/math/prim/mat/err/check_unit_vector.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a65fb60ad466e375f68798ff25881e378"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a65fb60ad466e375f68798ff25881e378"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a65fb60ad466e375f68798ff25881e378">stan::math::unit_vector_free</a> (const Eigen::Matrix&lt; T, Eigen::Dynamic, 1 &gt; &amp;x)</td></tr>
+<tr class="memdesc:a65fb60ad466e375f68798ff25881e378"><td class="mdescLeft">&#160;</td><td class="mdescRight">Transformation of a unit length vector to a "free" vector However, we are just fixing the unidentified radius to 1.  <a href="namespacestan_1_1math.html#a65fb60ad466e375f68798ff25881e378">More...</a><br /></td></tr>
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+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_abde0b7cf68eab53d00c041fec244c735"><div class="ttname"><a href="namespacestan_1_1math.html#abde0b7cf68eab53d00c041fec244c735">stan::math::check_unit_vector</a></div><div class="ttdeci">bool check_unit_vector(const char *function, const char *name, const Eigen::Matrix&lt; T_prob, Eigen::Dynamic, 1 &gt; &amp;theta)</div><div class="ttdoc">Return true if the specified vector is unit vector. </div><div class="ttdef"><b>Definition:</b> <a href="check__unit__vector_8hpp_source.html#l00036">check_unit_vector.hpp:36</a></div></div>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_V_VARI_HPP</span></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1op__v__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1op__v__vari.html">stan::math::op_v_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="v__vari_8hpp_source.html#l00009">v_vari.hpp:9</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__v__vari_html_a9d5d71fd9963d2e5c8bff707127b2380"><div class="ttname"><a href="classstan_1_1math_1_1op__v__vari.html#a9d5d71fd9963d2e5c8bff707127b2380">stan::math::op_v_vari::op_v_vari</a></div><div class="ttdeci">op_v_vari(double f, vari *avi)</div><div class="ttdef"><b>Definition:</b> <a href="v__vari_8hpp_source.html#l00013">v_vari.hpp:13</a></div></div>
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+<div class="textblock"><code>#include &lt;sstream&gt;</code><br />
+<code>#include &lt;stdexcept&gt;</code><br />
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+<a href="validate__non__negative__index_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_ERR_VALIDATE_NON_NEGATIVE_INDEX_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_ERR_VALIDATE_NON_NEGATIVE_INDEX_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
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+<div class="title">var.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="vari_8hpp_source.html">stan/math/rev/core/vari.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="core_2grad_8hpp_source.html">stan/math/rev/core/grad.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chainable__alloc_8hpp_source.html">stan/math/rev/core/chainable_alloc.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/tools/config.hpp&gt;</code><br />
+<code>#include &lt;ostream&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div>
+<p><a href="var_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="nested-classes"></a>
+Classes</h2></td></tr>
+<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classstan_1_1math_1_1var.html">stan::math::var</a></td></tr>
+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Independent (input) and dependent (output) variables for gradients.  <a href="classstan_1_1math_1_1var.html#details">More...</a><br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a20437f997cf28c6013d897f1d8099106"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">stan::math::grad</a> (vari *vi)</td></tr>
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+  <i>&copy; 2011&ndash;2016,
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+<a href="var_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_VAR_HPP</span></div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
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+<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;</div>
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+<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;</div>
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+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_aa158a69964d0f86042daa3e279ecff3f"><div class="ttname"><a href="classstan_1_1math_1_1var.html#aa158a69964d0f86042daa3e279ecff3f">stan::math::var::operator/=</a></div><div class="ttdeci">var &amp; operator/=(const var &amp;b)</div><div class="ttdoc">The compound divide/assignment operator for variables (C++). </div><div class="ttdef"><b>Definition:</b> <a href="operator__divide__equal_8hpp_source.html#l00010">operator_divide_equal.hpp:10</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_aba2a77edbec7e11956c29283f1e50fc0"><div class="ttname"><a href="classstan_1_1math_1_1var.html#aba2a77edbec7e11956c29283f1e50fc0">stan::math::var::var</a></div><div class="ttdeci">var(unsigned long x)</div><div class="ttdoc">Construct a variable from the specified arithmetic argument by constructing a new vari with the argum...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00183">var.hpp:183</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="core_2grad_8hpp_html"><div class="ttname"><a href="core_2grad_8hpp.html">grad.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_ac9dad7e9936150e2d082ab2eb9d07a85"><div class="ttname"><a href="classstan_1_1math_1_1var.html#ac9dad7e9936150e2d082ab2eb9d07a85">stan::math::var::var</a></div><div class="ttdeci">var(vari *vi)</div><div class="ttdoc">Construct a variable from a pointer to a variable implementation. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00073">var.hpp:73</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a7d48485af46f48f88abf8d8af40738a3"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a7d48485af46f48f88abf8d8af40738a3">stan::math::var::operator*</a></div><div class="ttdeci">vari &amp; operator*()</div><div class="ttdoc">Return a reference to underlying implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00293">var.hpp:293</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a20437f997cf28c6013d897f1d8099106"><div class="ttname"><a href="namespacestan_1_1math.html#a20437f997cf28c6013d897f1d8099106">stan::math::grad</a></div><div class="ttdeci">static void grad(vari *vi)</div><div class="ttdoc">Compute the gradient for all variables starting from the specified root variable implementation. </div><div class="ttdef"><b>Definition:</b> <a href="core_2grad_8hpp_source.html#l00030">grad.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a8892192fd51894b90e59a213fe02aeb9"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a8892192fd51894b90e59a213fe02aeb9">stan::math::var::operator-=</a></div><div class="ttdeci">var &amp; operator-=(const var &amp;b)</div><div class="ttdoc">The compound subtract/assignment operator for variables (C++). </div><div class="ttdef"><b>Definition:</b> <a href="operator__minus__equal_8hpp_source.html#l00010">operator_minus_equal.hpp:10</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html_a5c8a37e50654a282308ddde46e68ede6"><div class="ttname"><a href="classstan_1_1math_1_1vari.html#a5c8a37e50654a282308ddde46e68ede6">stan::math::vari::val_</a></div><div class="ttdeci">const double val_</div><div class="ttdoc">The value of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00038">vari.hpp:38</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a59212fe7f7b20ff643dde22074689ef1"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a59212fe7f7b20ff643dde22074689ef1">stan::math::var::var</a></div><div class="ttdeci">var(double x)</div><div class="ttdoc">Construct a variable from the specified arithmetic argument by constructing a new vari with the argum...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00091">var.hpp:91</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_ada48c7523cc13f19ff07d14a412b1d2b"><div class="ttname"><a href="classstan_1_1math_1_1var.html#ada48c7523cc13f19ff07d14a412b1d2b">stan::math::var::var</a></div><div class="ttdeci">var(bool x)</div><div class="ttdoc">Construct a variable from the specified arithmetic argument by constructing a new vari with the argum...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00109">var.hpp:109</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_ac22e5b84ff8e7934036e7d4fa89c3f14"><div class="ttname"><a href="classstan_1_1math_1_1var.html#ac22e5b84ff8e7934036e7d4fa89c3f14">stan::math::var::var</a></div><div class="ttdeci">var(char x)</div><div class="ttdoc">Construct a variable from the specified arithmetic argument by constructing a new vari with the argum...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00118">var.hpp:118</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a255e54d15bd3bda71d3e86ce19bc40ce"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a255e54d15bd3bda71d3e86ce19bc40ce">stan::math::var::is_uninitialized</a></div><div class="ttdeci">bool is_uninitialized()</div><div class="ttdoc">Return true if this variable has been declared, but not been defined. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00054">var.hpp:54</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_ae10b8ab6f35db859bc7b2831951944b4"><div class="ttname"><a href="classstan_1_1math_1_1var.html#ae10b8ab6f35db859bc7b2831951944b4">stan::math::var::var</a></div><div class="ttdeci">var(unsigned int x)</div><div class="ttdoc">Construct a variable from the specified arithmetic argument by constructing a new vari with the argum...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00173">var.hpp:173</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_aad7dd38f48c59f9b59d7f2caa7dcc055"><div class="ttname"><a href="classstan_1_1math_1_1var.html#aad7dd38f48c59f9b59d7f2caa7dcc055">stan::math::var::var</a></div><div class="ttdeci">var()</div><div class="ttdoc">Construct a variable for later assignment. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00065">var.hpp:65</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a179b1c61bcd82f0e6c1d109c07ae8e40"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a179b1c61bcd82f0e6c1d109c07ae8e40">stan::math::var::vi_</a></div><div class="ttdeci">vari * vi_</div><div class="ttdoc">Pointer to the implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00043">var.hpp:43</a></div></div>
+<div class="ttc" id="chainable__alloc_8hpp_html"><div class="ttname"><a href="chainable__alloc_8hpp.html">chainable_alloc.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a6405710a647d0a5f20b07aa1a41e1b6b"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a6405710a647d0a5f20b07aa1a41e1b6b">stan::math::var::var</a></div><div class="ttdeci">var(float x)</div><div class="ttdoc">Construct a variable from the specified arithmetic argument by constructing a new vari with the argum...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00082">var.hpp:82</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_afd46b70001b3e7d5de80a2883ba71fae"><div class="ttname"><a href="classstan_1_1math_1_1var.html#afd46b70001b3e7d5de80a2883ba71fae">stan::math::var::grad</a></div><div class="ttdeci">void grad(std::vector&lt; var &gt; &amp;x, std::vector&lt; double &gt; &amp;g)</div><div class="ttdoc">Compute the gradient of this (dependent) variable with respect to the specified vector of (independen...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00261">var.hpp:261</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_acb10b163ad0fbc84829baed06ddda8e7"><div class="ttname"><a href="classstan_1_1math_1_1var.html#acb10b163ad0fbc84829baed06ddda8e7">stan::math::var::operator-&gt;</a></div><div class="ttdeci">vari * operator-&gt;()</div><div class="ttdoc">Return a pointer to the underlying implementation of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00307">var.hpp:307</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a1070c041b598347663bbff358cbc2d37"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a1070c041b598347663bbff358cbc2d37">stan::math::var::grad</a></div><div class="ttdeci">void grad()</div><div class="ttdoc">Compute the gradient of this (dependent) variable with respect to all (independent) variables...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00275">var.hpp:275</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a6a333a82fd608b913a239c03272b5b56"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a6a333a82fd608b913a239c03272b5b56">stan::math::var::var</a></div><div class="ttdeci">var(long double x)</div><div class="ttdoc">Construct a variable from the specified arithmetic argument by constructing a new vari with the argum...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00100">var.hpp:100</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a1c27d331050539ab689e8d0dae743e51"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a1c27d331050539ab689e8d0dae743e51">stan::math::var::var</a></div><div class="ttdeci">var(int x)</div><div class="ttdoc">Construct a variable from the specified arithmetic argument by constructing a new vari with the argum...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00136">var.hpp:136</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a14e688944f813cad7d31888dbe2854a9"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a14e688944f813cad7d31888dbe2854a9">stan::math::var::Scalar</a></div><div class="ttdeci">double Scalar</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00034">var.hpp:34</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1var_html_adee6abba4694821dd182f44657b53bca"><div class="ttname"><a href="classstan_1_1math_1_1var.html#adee6abba4694821dd182f44657b53bca">stan::math::var::val</a></div><div class="ttdeci">double val() const </div><div class="ttdoc">Return the value of this variable. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00233">var.hpp:233</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a3545860122fa159c57e23dd0fbfbf5cd"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a3545860122fa159c57e23dd0fbfbf5cd">stan::math::var::operator&lt;&lt;</a></div><div class="ttdeci">friend std::ostream &amp; operator&lt;&lt;(std::ostream &amp;os, const var &amp;v)</div><div class="ttdoc">Write the value of this auto-dif variable and its adjoint to the specified output stream...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00422">var.hpp:422</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a7366cb3fd02521783e25de7615a7d098"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a7366cb3fd02521783e25de7615a7d098">stan::math::var::adj</a></div><div class="ttdeci">double adj() const </div><div class="ttdoc">Return the derivative of the root expression with respect to this expression. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00245">var.hpp:245</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_ad8c38d414a8bccbb0761aea7a3d64612"><div class="ttname"><a href="classstan_1_1math_1_1var.html#ad8c38d414a8bccbb0761aea7a3d64612">stan::math::var::var</a></div><div class="ttdeci">var(unsigned short x)</div><div class="ttdoc">Construct a variable from the specified arithmetic argument by constructing a new vari with the argum...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00164">var.hpp:164</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html_a55ae61a2ae50220be00395aea1c51bfa"><div class="ttname"><a href="classstan_1_1math_1_1var.html#a55ae61a2ae50220be00395aea1c51bfa">stan::math::var::var</a></div><div class="ttdeci">var(short x)</div><div class="ttdoc">Construct a variable from the specified arithmetic argument by constructing a new vari with the argum...</div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00127">var.hpp:127</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
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+<div class="textblock"><code>#include &lt;<a class="el" href="chainable__alloc_8hpp_source.html">stan/math/rev/core/chainable_alloc.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chainablestack_8hpp_source.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</code><br />
+<code>#include &lt;ostream&gt;</code><br />
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+<p><a href="vari_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">The variable implementation base class.  <a href="classstan_1_1math_1_1vari.html#details">More...</a><br /></td></tr>
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+<div class="title">vari.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chainable__alloc_8hpp.html">stan/math/rev/core/chainable_alloc.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chainablestack_8hpp.html">stan/math/rev/core/chainablestack.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;ostream&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="comment">// forward declaration of var</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">class </span>var;</div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
+<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1vari.html">   30</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">private</span>:</div>
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+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;    <span class="keyword">public</span>:</div>
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+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      }</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
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+<div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">  107</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1vari.html#ab12bfdea5530029d862bdfa2ae9ead3d">set_zero_adjoint</a>() {</div>
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+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      }</div>
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+<div class="ttc" id="chainable__alloc_8hpp_html"><div class="ttname"><a href="chainable__alloc_8hpp.html">chainable_alloc.hpp</a></div></div>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_VD_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vd__vari.html">    9</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1op__vd__vari.html">op_vd_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vd__vari.html#a00e8ccf1cd732f4f2688bc4248fd700f">   11</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* <a class="code" href="classstan_1_1math_1_1op__vd__vari.html#a00e8ccf1cd732f4f2688bc4248fd700f">avi_</a>;</div>
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+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        bd_(b) {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    };</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  }</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;}</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vd__vari_html_a013c49536757793f7b912c7f1b046111"><div class="ttname"><a href="classstan_1_1math_1_1op__vd__vari.html#a013c49536757793f7b912c7f1b046111">stan::math::op_vd_vari::op_vd_vari</a></div><div class="ttdeci">op_vd_vari(double f, vari *avi, double b)</div><div class="ttdef"><b>Definition:</b> <a href="vd__vari_8hpp_source.html#l00014">vd_vari.hpp:14</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vd__vari_html_a00e8ccf1cd732f4f2688bc4248fd700f"><div class="ttname"><a href="classstan_1_1math_1_1op__vd__vari.html#a00e8ccf1cd732f4f2688bc4248fd700f">stan::math::op_vd_vari::avi_</a></div><div class="ttdeci">vari * avi_</div><div class="ttdef"><b>Definition:</b> <a href="vd__vari_8hpp_source.html#l00011">vd_vari.hpp:11</a></div></div>
+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vd__vari_html_ae1eaf8ba4cdb63d1f66c4fc2849788fc"><div class="ttname"><a href="classstan_1_1math_1_1op__vd__vari.html#ae1eaf8ba4cdb63d1f66c4fc2849788fc">stan::math::op_vd_vari::bd_</a></div><div class="ttdeci">double bd_</div><div class="ttdef"><b>Definition:</b> <a href="vd__vari_8hpp_source.html#l00012">vd_vari.hpp:12</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vd__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1op__vd__vari.html">stan::math::op_vd_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="vd__vari_8hpp_source.html#l00009">vd_vari.hpp:9</a></div></div>
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+<a href="vdd__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_VDD_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_VDD_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vdd__vari.html">    9</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1op__vdd__vari.html">op_vdd_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">protected</span>:</div>
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+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vdd__vari_html_aa5107d1c0d8c46a91eac4d6621b963c7"><div class="ttname"><a href="classstan_1_1math_1_1op__vdd__vari.html#aa5107d1c0d8c46a91eac4d6621b963c7">stan::math::op_vdd_vari::bd_</a></div><div class="ttdeci">double bd_</div><div class="ttdef"><b>Definition:</b> <a href="vdd__vari_8hpp_source.html#l00012">vdd_vari.hpp:12</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vdd__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1op__vdd__vari.html">stan::math::op_vdd_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="vdd__vari_8hpp_source.html#l00009">vdd_vari.hpp:9</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vdd__vari_html_a941aebe177838074a9576f3967f0ca42"><div class="ttname"><a href="classstan_1_1math_1_1op__vdd__vari.html#a941aebe177838074a9576f3967f0ca42">stan::math::op_vdd_vari::avi_</a></div><div class="ttdeci">vari * avi_</div><div class="ttdef"><b>Definition:</b> <a href="vdd__vari_8hpp_source.html#l00011">vdd_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vdd__vari_html_a7acdfdfc206b8c3e9335af73091bb471"><div class="ttname"><a href="classstan_1_1math_1_1op__vdd__vari.html#a7acdfdfc206b8c3e9335af73091bb471">stan::math::op_vdd_vari::cd_</a></div><div class="ttdeci">double cd_</div><div class="ttdef"><b>Definition:</b> <a href="vdd__vari_8hpp_source.html#l00013">vdd_vari.hpp:13</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vdd__vari_html_abceb88fe7a28682e996e02e92615a9d1"><div class="ttname"><a href="classstan_1_1math_1_1op__vdd__vari.html#abceb88fe7a28682e996e02e92615a9d1">stan::math::op_vdd_vari::op_vdd_vari</a></div><div class="ttdeci">op_vdd_vari(double f, vari *avi, double b, double c)</div><div class="ttdef"><b>Definition:</b> <a href="vdd__vari_8hpp_source.html#l00015">vdd_vari.hpp:15</a></div></div>
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+<a href="vdv__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_VDV_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_VDV_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vdv__vari.html">    9</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1op__vdv__vari.html">op_vdv_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vdv__vari.html#aa954e347c9288c85a11bb4306e6ad35b">   11</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* <a class="code" href="classstan_1_1math_1_1op__vdv__vari.html#aa954e347c9288c85a11bb4306e6ad35b">avi_</a>;</div>
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+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vdv__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1op__vdv__vari.html">stan::math::op_vdv_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="vdv__vari_8hpp_source.html#l00009">vdv_vari.hpp:9</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vdv__vari_html_a7fb6e0e51feb1099d20918fe951f83e9"><div class="ttname"><a href="classstan_1_1math_1_1op__vdv__vari.html#a7fb6e0e51feb1099d20918fe951f83e9">stan::math::op_vdv_vari::cvi_</a></div><div class="ttdeci">vari * cvi_</div><div class="ttdef"><b>Definition:</b> <a href="vdv__vari_8hpp_source.html#l00013">vdv_vari.hpp:13</a></div></div>
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+<div class="ttc" id="classstan_1_1math_1_1op__vdv__vari_html_a8a8d9b43a909c0246d171d6dc65c8379"><div class="ttname"><a href="classstan_1_1math_1_1op__vdv__vari.html#a8a8d9b43a909c0246d171d6dc65c8379">stan::math::op_vdv_vari::bd_</a></div><div class="ttdeci">double bd_</div><div class="ttdef"><b>Definition:</b> <a href="vdv__vari_8hpp_source.html#l00012">vdv_vari.hpp:12</a></div></div>
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+<code>#include &lt;<a class="el" href="vari_8hpp_source.html">stan/math/rev/core/vari.hpp</a>&gt;</code><br />
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+<a href="vector__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_VECTOR_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_VECTOR_VARI_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="var_8hpp.html">stan/math/rev/core/var.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vector__vari.html">   11</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1op__vector__vari.html">op_vector_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;string&gt;</code><br />
+</div>
+<p><a href="version_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:ad4c620fffa8fa7ddd68ffb46fb64667b"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="memitem">
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+          <td class="memname">#define STAN_MATH_MAJOR&#160;&#160;&#160;2</td>
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+<p>Definition at line <a class="el" href="version_8hpp_source.html#l00014">14</a> of file <a class="el" href="version_8hpp_source.html">version.hpp</a>.</p>
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+<p>Definition at line <a class="el" href="version_8hpp_source.html#l00015">15</a> of file <a class="el" href="version_8hpp_source.html">version.hpp</a>.</p>
+
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+<p>Definition at line <a class="el" href="version_8hpp_source.html#l00016">16</a> of file <a class="el" href="version_8hpp_source.html">version.hpp</a>.</p>
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+          <td class="memname">#define STAN_STRING_EXPAND</td>
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+<p>Definition at line <a class="el" href="version_8hpp_source.html#l00007">7</a> of file <a class="el" href="version_8hpp_source.html">version.hpp</a>.</p>
+
+</div>
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+</div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  [ <a href="http://mc-stan.org/">Stan Home Page</a> ]
+  </span>
+  <span style="float:right; margin=0 1em 0 1em;">
+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
+  &nbsp;&nbsp;&nbsp;&nbsp;
+  </i>
+  </span>
+</div>
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+<a href="version_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_VERSION_HPP</span></div>
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+<div class="ttc" id="version_8hpp_html_a0c96447c79362b9df7ef76867a44d3be"><div class="ttname"><a href="version_8hpp.html#a0c96447c79362b9df7ef76867a44d3be">STAN_STRING</a></div><div class="ttdeci">#define STAN_STRING(s)</div><div class="ttdef"><b>Definition:</b> <a href="version_8hpp_source.html#l00011">version.hpp:11</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">stan/math/prim/scal/fun/modified_bessel_first_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="von__mises__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+Functions</h2></td></tr>
+<tr class="memitem:a3e7a36cd810a693a04ef145882894754"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a3e7a36cd810a693a04ef145882894754"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a3e7a36cd810a693a04ef145882894754">stan::math::von_mises_log</a> (T_y const &amp;y, T_loc const &amp;mu, T_scale const &amp;kappa)</td></tr>
+<tr class="separator:a3e7a36cd810a693a04ef145882894754"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a8a06353ba5a996ebfc43ec69decf9fb9"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_loc , typename T_scale &gt; </td></tr>
+<tr class="memitem:a8a06353ba5a996ebfc43ec69decf9fb9"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_loc, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a8a06353ba5a996ebfc43ec69decf9fb9">stan::math::von_mises_log</a> (T_y const &amp;y, T_loc const &amp;mu, T_scale const &amp;kappa)</td></tr>
+<tr class="separator:a8a06353ba5a996ebfc43ec69decf9fb9"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">von_mises_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="von__mises__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_VON_MISES_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_VON_MISES_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp.html">stan/math/prim/scal/fun/modified_bessel_first_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;             <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_loc, T_scale&gt;::type</div>
+<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a3e7a36cd810a693a04ef145882894754">   27</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a3e7a36cd810a693a04ef145882894754">von_mises_log</a>(T_y <span class="keyword">const</span>&amp; y, T_loc <span class="keyword">const</span>&amp; mu, T_scale <span class="keyword">const</span>&amp; kappa) {</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keyword">static</span> <span class="keywordtype">char</span> <span class="keyword">const</span>* <span class="keyword">const</span> <span class="keyword">function</span> = <span class="stringliteral">&quot;stan::math::von_mises_log&quot;</span>;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(mu)</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(kappa)))</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">stan::math::modified_bessel_first_kind</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="comment">// Result accumulator.</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      T_partials_return logp = 0.0;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <span class="comment">// Validate arguments.</span></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Location paramter&quot;</span>, mu);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, kappa);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Location parameter&quot;</span>, mu,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, kappa);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keywordflow">return</span> logp;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="comment">// Determine constants.</span></div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">bool</span> y_const = <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">bool</span> mu_const = <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_loc&gt;::value</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">bool</span> kappa_const = <a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="comment">// Determine which expensive computations to perform.</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">bool</span> compute_bessel0 = <a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">bool</span> compute_bessel1 = !kappa_const;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">const</span> <span class="keywordtype">double</span> TWO_PI = 2.0 * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>();</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="comment">// Wrap scalars into vector views.</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_loc&gt;</a> mu_vec(mu);</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> kappa_vec(kappa);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;true, T_partials_return, T_scale&gt;</a> kappa_dbl(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(kappa));</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                    T_partials_return, T_scale&gt; log_bessel0(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(kappa));</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(kappa); i++) {</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        kappa_dbl[i] = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(kappa_vec[i]);</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;          log_bessel0[i]</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;            = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">modified_bessel_first_kind</a>(0, <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(kappa_vec[i])));</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      }</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_loc, T_scale&gt;</a></div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        operands_and_partials(y, mu, kappa);</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, mu, kappa);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="comment">// Extract argument values.</span></div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keyword">const</span> T_partials_return <a class="code" href="rev_2mat_2fun_2unit__vector__constrain_8hpp.html#abed49d00ff5a41185bf8170a0742c60c">y_</a> = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl =  y_ - <a class="code" href="namespacestan_1_1math.html#a16e5a2666b377e37fe807765ba5f6aaf">floor</a>(y_ / TWO_PI) * TWO_PI;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keyword">const</span> T_partials_return mu_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(mu_vec[n]);</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="comment">// Reusable values.</span></div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        T_partials_return bessel0 = 0;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordflow">if</span> (compute_bessel0)</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          bessel0 = <a class="code" href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">modified_bessel_first_kind</a>(0, kappa_dbl[n]);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        T_partials_return bessel1 = 0;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        <span class="keywordflow">if</span> (compute_bessel1)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          bessel1 = <a class="code" href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">modified_bessel_first_kind</a>(-1, kappa_dbl[n]);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        <span class="keyword">const</span> T_partials_return kappa_sin = kappa_dbl[n] * <a class="code" href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">sin</a>(mu_dbl - y_dbl);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keyword">const</span> T_partials_return kappa_cos = kappa_dbl[n] * <a class="code" href="namespacestan_1_1math.html#ae6cb3a9041ae0b7855b398c3e11cda48">cos</a>(mu_dbl - y_dbl);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        <span class="comment">// Log probability.</span></div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto&gt;::value</a>)</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;          logp -= <a class="code" href="namespacestan_1_1math.html#a938e5d349b0ffdfdae9674f9dd4dbebe">LOG_TWO_PI</a>;</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          logp -= log_bessel0[n];</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_loc, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;          logp += kappa_cos;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="comment">// Gradient.</span></div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;        <span class="keywordflow">if</span> (!y_const)</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += kappa_sin;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (!mu_const)</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= kappa_sin;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">if</span> (!kappa_const)</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += kappa_cos / kappa_dbl[n]</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;            - bessel1 / bessel0;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      }</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    }</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    <span class="keyword">template</span>&lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_loc, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;    <span class="keyword">inline</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_loc, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00135"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a8a06353ba5a996ebfc43ec69decf9fb9">  135</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a3e7a36cd810a693a04ef145882894754">von_mises_log</a>(T_y <span class="keyword">const</span>&amp; y, T_loc <span class="keyword">const</span>&amp; mu, T_scale <span class="keyword">const</span>&amp; kappa) {</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;      <span class="keywordflow">return</span> von_mises_log&lt;false&gt;(y, mu, kappa);</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    }</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;  }</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;}</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae6cb3a9041ae0b7855b398c3e11cda48"><div class="ttname"><a href="namespacestan_1_1math.html#ae6cb3a9041ae0b7855b398c3e11cda48">stan::math::cos</a></div><div class="ttdeci">fvar&lt; T &gt; cos(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2cos_8hpp_source.html#l00013">cos.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="rev_2mat_2fun_2unit__vector__constrain_8hpp_html_abed49d00ff5a41185bf8170a0742c60c"><div class="ttname"><a href="rev_2mat_2fun_2unit__vector__constrain_8hpp.html#abed49d00ff5a41185bf8170a0742c60c">y_</a></div><div class="ttdeci">vari ** y_</div><div class="ttdef"><b>Definition:</b> <a href="rev_2mat_2fun_2unit__vector__constrain_8hpp_source.html#l00019">unit_vector_constrain.hpp:19</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp.html">modified_bessel_first_kind.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a938e5d349b0ffdfdae9674f9dd4dbebe"><div class="ttname"><a href="namespacestan_1_1math.html#a938e5d349b0ffdfdae9674f9dd4dbebe">stan::math::LOG_TWO_PI</a></div><div class="ttdeci">const double LOG_TWO_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00193">constants.hpp:193</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_adcb3160540f6fe745abb846df2174742"><div class="ttname"><a href="namespacestan_1_1math.html#adcb3160540f6fe745abb846df2174742">stan::math::modified_bessel_first_kind</a></div><div class="ttdeci">fvar&lt; T &gt; modified_bessel_first_kind(int v, const fvar&lt; T &gt; &amp;z)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html#l00015">modified_bessel_first_kind.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aff3f2dd84567a0566cfdd7eb10e13607"><div class="ttname"><a href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">stan::math::sin</a></div><div class="ttdeci">fvar&lt; T &gt; sin(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sin_8hpp_source.html#l00014">sin.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3e7a36cd810a693a04ef145882894754"><div class="ttname"><a href="namespacestan_1_1math.html#a3e7a36cd810a693a04ef145882894754">stan::math::von_mises_log</a></div><div class="ttdeci">return_type&lt; T_y, T_loc, T_scale &gt;::type von_mises_log(T_y const &amp;y, T_loc const &amp;mu, T_scale const &amp;kappa)</div><div class="ttdef"><b>Definition:</b> <a href="von__mises__log_8hpp_source.html#l00027">von_mises_log.hpp:27</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_source.html">stan/math/prim/scal/fun/modified_bessel_first_kind.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="uniform__rng_8hpp_source.html">stan/math/prim/scal/prob/uniform_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
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+Functions</h2></td></tr>
+<tr class="memitem:a71998db3e6cfebf31463452f99878b99"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a71998db3e6cfebf31463452f99878b99"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a71998db3e6cfebf31463452f99878b99">stan::math::von_mises_rng</a> (const double mu, const double kappa, RNG &amp;rng)</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">von_mises_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="von__mises__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_VON_MISES_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_VON_MISES_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp.html">stan/math/prim/scal/fun/modified_bessel_first_kind.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="uniform__rng_8hpp.html">stan/math/prim/scal/prob/uniform_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <span class="comment">// The algorithm used in von_mises_rng is a modified version of the</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    <span class="comment">// algorithm in:</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="comment">//</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="comment">// Efficient Simulation of the von Mises Distribution</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;    <span class="comment">// D. J. Best and N. I. Fisher</span></div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    <span class="comment">// Journal of the Royal Statistical Society. Series C (Applied Statistics),</span></div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="comment">// Vol. 28, No. 2 (1979), pp. 152-157</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="comment">//</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="comment">// See licenses/stan-license.txt for Stan license.</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a71998db3e6cfebf31463452f99878b99">   31</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a71998db3e6cfebf31463452f99878b99">von_mises_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> mu,</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;                  <span class="keyword">const</span> <span class="keywordtype">double</span> kappa,</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;                  RNG&amp; rng) {</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">stan::math::uniform_rng</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">std::fmod</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::von_mises_rng&quot;</span>);</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;mean&quot;</span>, mu);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;inverse of variance&quot;</span>, kappa);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="keywordtype">double</span> r = 1 + <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>((1 + 4 * kappa * kappa), 0.5);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordtype">double</span> rho = 0.5 * (r - <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(2 * r, 0.5)) / kappa;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordtype">double</span> s = 0.5 * (1 + rho * rho) / rho;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <span class="keywordtype">bool</span> done = 0;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordtype">double</span> W;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="keywordflow">while</span> (!done) {</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;        <span class="keywordtype">double</span> Z = <a class="code" href="namespacestan_1_1math.html#ae6cb3a9041ae0b7855b398c3e11cda48">std::cos</a>(<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>() * <a class="code" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">uniform_rng</a>(0.0, 1.0, rng));</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        W = (1 + s * Z) / (s + Z);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        <span class="keywordtype">double</span> Y = kappa * (s - W);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;        <span class="keywordtype">double</span> U2 = <a class="code" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">uniform_rng</a>(0.0, 1.0, rng);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        done = Y * (2 - Y) - U2 &gt; 0;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        <span class="keywordflow">if</span> (!done)</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;          done = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(Y / U2) + 1 - Y &gt;= 0;</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      }</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordtype">double</span> U3 = <a class="code" href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">uniform_rng</a>(0.0, 1.0, rng) - 0.5;</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <span class="keywordtype">double</span> <a class="code" href="namespacestan_1_1math.html#ad825f81b97ddf0b2e1217f30913559a3">sign</a> = ((U3 &gt;= 0) - (U3 &lt;= 0));</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="comment">//  it&#39;s really an fmod() with a positivity constraint</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">return</span> sign * <a class="code" href="namespacestan_1_1math.html#a6952d8c23d69dc891dbe78e7d4ea7a80">std::acos</a>(W)</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        + <a class="code" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">fmod</a>(<a class="code" href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">fmod</a>(mu, 2*<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>())+2*<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>(),</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;               2*<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a>());</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    }</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;  }</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;}</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae6cb3a9041ae0b7855b398c3e11cda48"><div class="ttname"><a href="namespacestan_1_1math.html#ae6cb3a9041ae0b7855b398c3e11cda48">stan::math::cos</a></div><div class="ttdeci">fvar&lt; T &gt; cos(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2cos_8hpp_source.html#l00013">cos.hpp:13</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad825f81b97ddf0b2e1217f30913559a3"><div class="ttname"><a href="namespacestan_1_1math.html#ad825f81b97ddf0b2e1217f30913559a3">stan::math::sign</a></div><div class="ttdeci">int sign(const T &amp;z)</div><div class="ttdef"><b>Definition:</b> <a href="sign_8hpp_source.html#l00009">sign.hpp:9</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2modified__bessel__first__kind_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2modified__bessel__first__kind_8hpp.html">modified_bessel_first_kind.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac9f40b2c56584ebd33037769fddc4d3f"><div class="ttname"><a href="namespacestan_1_1math.html#ac9f40b2c56584ebd33037769fddc4d3f">stan::math::fmod</a></div><div class="ttdeci">fvar&lt; T &gt; fmod(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2fmod_8hpp_source.html#l00016">fmod.hpp:16</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="uniform__rng_8hpp_html"><div class="ttname"><a href="uniform__rng_8hpp.html">uniform_rng.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a71998db3e6cfebf31463452f99878b99"><div class="ttname"><a href="namespacestan_1_1math.html#a71998db3e6cfebf31463452f99878b99">stan::math::von_mises_rng</a></div><div class="ttdeci">double von_mises_rng(const double mu, const double kappa, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="von__mises__rng_8hpp_source.html#l00031">von_mises_rng.hpp:31</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a10447d2a77f0fdf32e0adce2546cd3cd"><div class="ttname"><a href="namespacestan_1_1math.html#a10447d2a77f0fdf32e0adce2546cd3cd">stan::math::uniform_rng</a></div><div class="ttdeci">double uniform_rng(const double alpha, const double beta, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="uniform__rng_8hpp_source.html#l00021">uniform_rng.hpp:21</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a6952d8c23d69dc891dbe78e7d4ea7a80"><div class="ttname"><a href="namespacestan_1_1math.html#a6952d8c23d69dc891dbe78e7d4ea7a80">stan::math::acos</a></div><div class="ttdeci">fvar&lt; T &gt; acos(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2acos_8hpp_source.html#l00014">acos.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a5bf014e7733b17748049ccc5f3565de3"><div class="ttname"><a href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a></div><div class="ttdeci">bool check_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__finite_8hpp_source.html#l00062">check_finite.hpp:62</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa2ffd66726e0532160e16e6b48d6f428"><div class="ttname"><a href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">stan::math::pi</a></div><div class="ttdeci">double pi()</div><div class="ttdoc">Return the value of pi. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00086">constants.hpp:86</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
+<hr/>
+<div class="conents" style="font-size:80%;">
+  <span style="float:left; margin=0 1em 0 1em;">
+  &nbsp;&nbsp;&nbsp;&nbsp;
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+<a href="vv__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_VV_VARI_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_REV_CORE_VV_VARI_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vv__vari.html">    9</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1op__vv__vari.html">op_vv_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;    <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vv__vari.html#a9fcd1e5dacb0fbd015b28c4773071b6d">   11</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* <a class="code" href="classstan_1_1math_1_1op__vv__vari.html#a9fcd1e5dacb0fbd015b28c4773071b6d">avi_</a>;</div>
+<div class="line"><a name="l00012"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vv__vari.html#abe4e66ae889c118cb8ca89fcc6f6e216">   12</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* <a class="code" href="classstan_1_1math_1_1op__vv__vari.html#abe4e66ae889c118cb8ca89fcc6f6e216">bvi_</a>;</div>
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+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;        <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>(f),</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        avi_(avi),</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;        bvi_(bvi) {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;      }</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    };</div>
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+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  }</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;}</div>
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+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vv__vari_html_a3dcab4ca1dbd8919683d11d13419278e"><div class="ttname"><a href="classstan_1_1math_1_1op__vv__vari.html#a3dcab4ca1dbd8919683d11d13419278e">stan::math::op_vv_vari::op_vv_vari</a></div><div class="ttdeci">op_vv_vari(double f, vari *avi, vari *bvi)</div><div class="ttdef"><b>Definition:</b> <a href="vv__vari_8hpp_source.html#l00014">vv_vari.hpp:14</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vv__vari_html_abe4e66ae889c118cb8ca89fcc6f6e216"><div class="ttname"><a href="classstan_1_1math_1_1op__vv__vari.html#abe4e66ae889c118cb8ca89fcc6f6e216">stan::math::op_vv_vari::bvi_</a></div><div class="ttdeci">vari * bvi_</div><div class="ttdef"><b>Definition:</b> <a href="vv__vari_8hpp_source.html#l00012">vv_vari.hpp:12</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vv__vari_html_a9fcd1e5dacb0fbd015b28c4773071b6d"><div class="ttname"><a href="classstan_1_1math_1_1op__vv__vari.html#a9fcd1e5dacb0fbd015b28c4773071b6d">stan::math::op_vv_vari::avi_</a></div><div class="ttdeci">vari * avi_</div><div class="ttdef"><b>Definition:</b> <a href="vv__vari_8hpp_source.html#l00011">vv_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vv__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1op__vv__vari.html">stan::math::op_vv_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="vv__vari_8hpp_source.html#l00009">vv_vari.hpp:9</a></div></div>
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+<a href="vvd__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_VVD_VARI_HPP</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vvd__vari.html">    9</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1op__vvd__vari.html">op_vvd_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;}</div>
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+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vvd__vari_html_aca07baf5275497bc4b6e2d42148296c9"><div class="ttname"><a href="classstan_1_1math_1_1op__vvd__vari.html#aca07baf5275497bc4b6e2d42148296c9">stan::math::op_vvd_vari::avi_</a></div><div class="ttdeci">vari * avi_</div><div class="ttdef"><b>Definition:</b> <a href="vvd__vari_8hpp_source.html#l00011">vvd_vari.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vvd__vari_html_a9d05288a55b07c9dedc37436f42fa4b6"><div class="ttname"><a href="classstan_1_1math_1_1op__vvd__vari.html#a9d05288a55b07c9dedc37436f42fa4b6">stan::math::op_vvd_vari::op_vvd_vari</a></div><div class="ttdeci">op_vvd_vari(double f, vari *avi, vari *bvi, double c)</div><div class="ttdef"><b>Definition:</b> <a href="vvd__vari_8hpp_source.html#l00015">vvd_vari.hpp:15</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vvd__vari_html_a6184fba1516ee458408d47f8ba4d64fa"><div class="ttname"><a href="classstan_1_1math_1_1op__vvd__vari.html#a6184fba1516ee458408d47f8ba4d64fa">stan::math::op_vvd_vari::cd_</a></div><div class="ttdeci">double cd_</div><div class="ttdef"><b>Definition:</b> <a href="vvd__vari_8hpp_source.html#l00013">vvd_vari.hpp:13</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vvd__vari_html_a0a708211e17a4967f8b32594fda9b33a"><div class="ttname"><a href="classstan_1_1math_1_1op__vvd__vari.html#a0a708211e17a4967f8b32594fda9b33a">stan::math::op_vvd_vari::bvi_</a></div><div class="ttdeci">vari * bvi_</div><div class="ttdef"><b>Definition:</b> <a href="vvd__vari_8hpp_source.html#l00012">vvd_vari.hpp:12</a></div></div>
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+<a href="vvv__vari_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_REV_CORE_VVV_VARI_HPP</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="vari_8hpp.html">stan/math/rev/core/vari.hpp</a>&gt;</span></div>
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+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
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+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;  <span class="keyword">namespace </span>math {</div>
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+<div class="line"><a name="l00010"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vvv__vari.html">   10</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1op__vvv__vari.html">op_vvv_vari</a> : <span class="keyword">public</span> <a class="code" href="classstan_1_1math_1_1vari.html">vari</a> {</div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;    <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00012"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1op__vvv__vari.html#ac813cca4e210763164b061732e60d775">   12</a></span>&#160;      <a class="code" href="classstan_1_1math_1_1vari.html">vari</a>* <a class="code" href="classstan_1_1math_1_1op__vvv__vari.html#ac813cca4e210763164b061732e60d775">avi_</a>;</div>
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+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  }</div>
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+<div class="ttc" id="vari_8hpp_html"><div class="ttname"><a href="vari_8hpp.html">vari.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vvv__vari_html"><div class="ttname"><a href="classstan_1_1math_1_1op__vvv__vari.html">stan::math::op_vvv_vari</a></div><div class="ttdef"><b>Definition:</b> <a href="vvv__vari_8hpp_source.html#l00010">vvv_vari.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vvv__vari_html_ac813cca4e210763164b061732e60d775"><div class="ttname"><a href="classstan_1_1math_1_1op__vvv__vari.html#ac813cca4e210763164b061732e60d775">stan::math::op_vvv_vari::avi_</a></div><div class="ttdeci">vari * avi_</div><div class="ttdef"><b>Definition:</b> <a href="vvv__vari_8hpp_source.html#l00012">vvv_vari.hpp:12</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1vari_html"><div class="ttname"><a href="classstan_1_1math_1_1vari.html">stan::math::vari</a></div><div class="ttdoc">The variable implementation base class. </div><div class="ttdef"><b>Definition:</b> <a href="vari_8hpp_source.html#l00030">vari.hpp:30</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vvv__vari_html_ac1e794e5ed125a3183d00d84d22cb7aa"><div class="ttname"><a href="classstan_1_1math_1_1op__vvv__vari.html#ac1e794e5ed125a3183d00d84d22cb7aa">stan::math::op_vvv_vari::op_vvv_vari</a></div><div class="ttdeci">op_vvv_vari(double f, vari *avi, vari *bvi, vari *cvi)</div><div class="ttdef"><b>Definition:</b> <a href="vvv__vari_8hpp_source.html#l00016">vvv_vari.hpp:16</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1op__vvv__vari_html_ac8e9a82361ea5fcf0a51f088d29be90e"><div class="ttname"><a href="classstan_1_1math_1_1op__vvv__vari.html#ac8e9a82361ea5fcf0a51f088d29be90e">stan::math::op_vvv_vari::bvi_</a></div><div class="ttdeci">vari * bvi_</div><div class="ttdef"><b>Definition:</b> <a href="vvv__vari_8hpp_source.html#l00013">vvv_vari.hpp:13</a></div></div>
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diff --git a/doc/api/html/weibull__ccdf__log_8hpp.html b/doc/api/html/weibull__ccdf__log_8hpp.html
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+<div class="title">weibull_ccdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/weibull_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="weibull__ccdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:aa0033ce06f5f7b1109a42eee2579955a"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:aa0033ce06f5f7b1109a42eee2579955a"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#aa0033ce06f5f7b1109a42eee2579955a">stan::math::weibull_ccdf_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:aa0033ce06f5f7b1109a42eee2579955a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">weibull_ccdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="weibull__ccdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_WEIBULL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_WEIBULL_CCDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/weibull_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#aa0033ce06f5f7b1109a42eee2579955a">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#aa0033ce06f5f7b1109a42eee2579955a">weibull_ccdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::weibull_ccdf_log&quot;</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      T_partials_return ccdf_log(0.0);</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;        operands_and_partials(y, alpha, sigma);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma, alpha);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keyword">const</span> T_partials_return pow_ = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(y_dbl / sigma_dbl, alpha_dbl);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="comment">// ccdf_log</span></div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        ccdf_log -= pow_;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] -= alpha_dbl / y_dbl * pow_;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] -= <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y_dbl / sigma_dbl) * pow_;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] += alpha_dbl / sigma_dbl * pow_;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      }</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(ccdf_log);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    }</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;  }</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;}</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a07e971a1914f08362adf85c90a57be1d"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">stan::math::OperandsAndPartials::d_x3</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x3</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00041">OperandsAndPartials.hpp:41</a></div></div>
+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2meta_2_operands_and_partials_8hpp_html"><div class="ttname"><a href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">OperandsAndPartials.hpp</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa0033ce06f5f7b1109a42eee2579955a"><div class="ttname"><a href="namespacestan_1_1math.html#aa0033ce06f5f7b1109a42eee2579955a">stan::math::weibull_ccdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_shape, T_scale &gt;::type weibull_ccdf_log(const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="weibull__ccdf__log_8hpp_source.html#l00029">weibull_ccdf_log.hpp:29</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+  <td id="projectlogo"><img alt="Logo" src="stanlogo-main.png"/></td>
+  <td id="projectalign" style="padding-left: 0.5em;">
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+   &#160;<span id="projectnumber">2.10.0</span>
+   </div>
+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">weibull_cdf.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/weibull_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="weibull__cdf_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ae943a8f5c87e946a45a4f3b62f99b187"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:ae943a8f5c87e946a45a4f3b62f99b187"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae943a8f5c87e946a45a4f3b62f99b187">stan::math::weibull_cdf</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:ae943a8f5c87e946a45a4f3b62f99b187"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">weibull_cdf.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="weibull__cdf_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_WEIBULL_CDF_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_WEIBULL_CDF_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/weibull_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae943a8f5c87e946a45a4f3b62f99b187">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae943a8f5c87e946a45a4f3b62f99b187">weibull_cdf</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::weibull_cdf&quot;</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">return</span> 1.0;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      T_partials_return cdf(1.0);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        operands_and_partials(y, alpha, sigma);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma, alpha);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keyword">const</span> T_partials_return pow_ = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(y_dbl / sigma_dbl, alpha_dbl);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keyword">const</span> T_partials_return exp_ = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-pow_);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">const</span> T_partials_return cdf_ = 1.0 - exp_;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="comment">// cdf</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        cdf *= cdf_;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = exp_ * pow_ / cdf_;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv * alpha_dbl / y_dbl;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += rep_deriv * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y_dbl / sigma_dbl);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv * alpha_dbl / sigma_dbl;</div>
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+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
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+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y); ++n)</div>
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+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>) {</div>
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+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>) {</div>
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+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] *= cdf;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      }</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    }</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;  }</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;}</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae943a8f5c87e946a45a4f3b62f99b187"><div class="ttname"><a href="namespacestan_1_1math.html#ae943a8f5c87e946a45a4f3b62f99b187">stan::math::weibull_cdf</a></div><div class="ttdeci">return_type&lt; T_y, T_shape, T_scale &gt;::type weibull_cdf(const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="weibull__cdf_8hpp_source.html#l00029">weibull_cdf.hpp:29</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">weibull_cdf_log.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/weibull_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="weibull__cdf__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:ae94334459868c125f2a6504b69f46158"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:ae94334459868c125f2a6504b69f46158"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae94334459868c125f2a6504b69f46158">stan::math::weibull_cdf_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:ae94334459868c125f2a6504b69f46158"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">weibull_cdf_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="weibull__cdf__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_WEIBULL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_WEIBULL_CDF_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/weibull_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#ae94334459868c125f2a6504b69f46158">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#ae94334459868c125f2a6504b69f46158">weibull_cdf_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::weibull_cdf_log&quot;</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;      T_partials_return cdf_log(0.0);</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">check_nonnegative</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;        operands_and_partials(y, alpha, sigma);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, sigma, alpha);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <span class="keyword">const</span> T_partials_return sigma_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[n]);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        <span class="keyword">const</span> T_partials_return pow_ = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(y_dbl / sigma_dbl, alpha_dbl);</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;        <span class="keyword">const</span> T_partials_return exp_ = <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-pow_);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">const</span> T_partials_return cdf_ = 1.0 - exp_;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        <span class="comment">// cdf_log</span></div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;        cdf_log += <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(cdf_);</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="comment">// gradients</span></div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keyword">const</span> T_partials_return rep_deriv = pow_ / (1.0 / exp_ - 1.0);</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>)</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n] += rep_deriv * alpha_dbl / y_dbl;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n] += rep_deriv * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(y_dbl / sigma_dbl);</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n] -= rep_deriv * alpha_dbl / sigma_dbl;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      }</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(cdf_log);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    }</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;  }</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;}</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a4d8baa9df4dc978917f283943df909b4"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">stan::math::OperandsAndPartials::d_x2</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x2</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00040">OperandsAndPartials.hpp:40</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a541f8f9d951f4d48c457dcecad5e326b"><div class="ttname"><a href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a></div><div class="ttdeci">T value_of(const fvar&lt; T &gt; &amp;v)</div><div class="ttdoc">Return the value of the specified variable. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2value__of_8hpp_source.html#l00016">value_of.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_a2b77950cdace13d5020ab4f152d6225b"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">stan::math::OperandsAndPartials::value</a></div><div class="ttdeci">T_return_type value(double value)</div><div class="ttdoc">Returns a T_return_type with the value specified with the partial derivatves. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00068">OperandsAndPartials.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="scal_2meta_2is__constant__struct_8hpp_html"><div class="ttname"><a href="scal_2meta_2is__constant__struct_8hpp.html">is_constant_struct.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1is__constant__struct_html"><div class="ttname"><a href="structstan_1_1is__constant__struct.html">stan::is_constant_struct</a></div><div class="ttdoc">Metaprogram to determine if a type has a base scalar type that can be assigned to type double...</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2is__constant__struct_8hpp_source.html#l00013">is_constant_struct.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ae94334459868c125f2a6504b69f46158"><div class="ttname"><a href="namespacestan_1_1math.html#ae94334459868c125f2a6504b69f46158">stan::math::weibull_cdf_log</a></div><div class="ttdeci">return_type&lt; T_y, T_shape, T_scale &gt;::type weibull_cdf_log(const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</div><div class="ttdef"><b>Definition:</b> <a href="weibull__cdf__log_8hpp_source.html#l00029">weibull_cdf_log.hpp:29</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_html_a8b2c79a3a686dcf90566be8492e1065d"><div class="ttname"><a href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">stan::max_size</a></div><div class="ttdeci">size_t max_size(const T1 &amp;x1, const T2 &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="max__size_8hpp_source.html#l00009">max_size.hpp:9</a></div></div>
+<div class="ttc" id="_vector_builder_8hpp_html"><div class="ttname"><a href="_vector_builder_8hpp.html">VectorBuilder.hpp</a></div></div>
+<div class="ttc" id="partials__return__type_8hpp_html"><div class="ttname"><a href="partials__return__type_8hpp.html">partials_return_type.hpp</a></div></div>
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+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
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+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7a6be100befb6d08504cf5af8440b236"><div class="ttname"><a href="namespacestan_1_1math.html#a7a6be100befb6d08504cf5af8440b236">stan::math::check_nonnegative</a></div><div class="ttdeci">bool check_nonnegative(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is non-negative. </div><div class="ttdef"><b>Definition:</b> <a href="check__nonnegative_8hpp_source.html#l00066">check_nonnegative.hpp:66</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="structstan_1_1partials__return__type_html_a6aec78ebdc1f5d8571c079a3ee013f60"><div class="ttname"><a href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename partials_type&lt; typename scalar_type&lt; T1 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T2 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T3 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T4 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T5 &gt;::type &gt;::type, typename partials_type&lt; typename scalar_type&lt; T6 &gt;::type &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="partials__return__type_8hpp_source.html#l00026">partials_return_type.hpp:26</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html_aed4e9c359152c1b774cf17b95e6878d1"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">stan::math::OperandsAndPartials::d_x1</a></div><div class="ttdeci">VectorView&lt; T_return_type, false, true &gt; d_x1</div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00039">OperandsAndPartials.hpp:39</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+<div class="title">weibull_log.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="scal_2meta_2is__constant__struct_8hpp_source.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="partials__return__type_8hpp_source.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="_vector_builder_8hpp_source.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2_vector_view_8hpp_source.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/random/weibull_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+</div>
+<p><a href="weibull__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a4f3a52747636627895374aa555279a92"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:a4f3a52747636627895374aa555279a92"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a4f3a52747636627895374aa555279a92">stan::math::weibull_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a4f3a52747636627895374aa555279a92"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a76561164f1ff9ed6e70bf4a75e6f8ae2"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_shape , typename T_scale &gt; </td></tr>
+<tr class="memitem:a76561164f1ff9ed6e70bf4a75e6f8ae2"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_shape, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a76561164f1ff9ed6e70bf4a75e6f8ae2">stan::math::weibull_log</a> (const T_y &amp;y, const T_shape &amp;alpha, const T_scale &amp;sigma)</td></tr>
+<tr class="separator:a76561164f1ff9ed6e70bf4a75e6f8ae2"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<div class="title">weibull_log.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="weibull__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_WEIBULL_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_WEIBULL_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2is__constant__struct_8hpp.html">stan/math/prim/scal/meta/is_constant_struct.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="partials__return__type_8hpp.html">stan/math/prim/scal/meta/partials_return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2meta_2_operands_and_partials_8hpp.html">stan/math/prim/scal/meta/OperandsAndPartials.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_vector_builder_8hpp.html">stan/math/prim/scal/meta/VectorBuilder.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2_vector_view_8hpp.html">stan/math/prim/scal/meta/VectorView.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;boost/random/weibull_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="comment">// Weibull(y|alpha, sigma)     [y &gt;= 0;  alpha &gt; 0;  sigma &gt; 0]</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="comment">// FIXME: document</span></div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_shape, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;    <span class="keyword">typename</span> return_type&lt;T_y, T_shape, T_scale&gt;::type</div>
+<div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a4f3a52747636627895374aa555279a92">   32</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4f3a52747636627895374aa555279a92">weibull_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::weibull_log&quot;</span>);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1partials__return__type.html#a6aec78ebdc1f5d8571c079a3ee013f60">stan::partials_return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;        T_partials_return;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">stan::math::check_finite</a>;</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">stan::math::check_not_nan</a>;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">stan::math::value_of</a>;</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a>;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a055efd6bb49a1df5ea4da98d1078d0e6">stan::math::multiply_log</a>;</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      <span class="comment">// check if any vectors are zero length</span></div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;            &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(sigma)))</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      <span class="comment">// set up return value accumulator</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;      T_partials_return logp(0.0);</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;                             <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                             <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="comment">// check if no variables are involved and prop-to</span></div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_shape&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_scale&gt;</a> sigma_vec(sigma);</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordtype">size_t</span> N = <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, sigma);</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <span class="keywordflow">if</span> (y_dbl &lt; 0)</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#acd99e429af3a997976a017d6a580e3f9">LOG_ZERO</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      }</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;                    T_partials_return, T_shape&gt; log_alpha(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha));</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(alpha); i++)</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          log_alpha[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]));</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_shape&gt;::value</a>,</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;                    T_partials_return, T_y&gt; log_y(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y));</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(y); i++)</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          log_y[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]));</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_shape, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;                    T_partials_return, T_scale&gt; log_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++)</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;          log_sigma[i] = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(<a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]));</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                    T_partials_return, T_scale&gt; inv_sigma(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma));</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">length</a>(sigma); i++)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          inv_sigma[i] = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(sigma_vec[i]);</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <a class="code" href="classstan_1_1_vector_builder.html">VectorBuilder&lt;include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>,</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                    T_partials_return, T_y, T_shape, T_scale&gt;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        y_div_sigma_pow_alpha(N);</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++)</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>) {</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;          <span class="keyword">const</span> T_partials_return y_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[i]);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          y_div_sigma_pow_alpha[i] = <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">pow</a>(y_dbl * inv_sigma[i], alpha_dbl);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        }</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <a class="code" href="structstan_1_1math_1_1_operands_and_partials.html">OperandsAndPartials&lt;T_y, T_shape, T_scale&gt;</a></div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        operands_and_partials(y, alpha, sigma);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> n = 0; n &lt; N; n++) {</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        <span class="keyword">const</span> T_partials_return alpha_dbl = <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(alpha_vec[n]);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;          logp += log_alpha[n];</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          logp += (alpha_dbl-1.0)*log_y[n];</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;          logp -= alpha_dbl*log_sigma[n];</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_shape, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          logp -= y_div_sigma_pow_alpha[n];</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;          <span class="keyword">const</span> T_partials_return inv_y = 1.0 / <a class="code" href="namespacestan_1_1math.html#a541f8f9d951f4d48c457dcecad5e326b">value_of</a>(y_vec[n]);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#aed4e9c359152c1b774cf17b95e6878d1">d_x1</a>[n]</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            += (alpha_dbl-1.0) * inv_y</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;            - alpha_dbl * y_div_sigma_pow_alpha[n] * inv_y;</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        }</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_shape&gt;::value</a>)</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a4d8baa9df4dc978917f283943df909b4">d_x2</a>[n]</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            += 1.0/alpha_dbl</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            + (1.0 - y_div_sigma_pow_alpha[n]) * (log_y[n] - log_sigma[n]);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1is__constant__struct.html">is_constant_struct&lt;T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;          operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a07e971a1914f08362adf85c90a57be1d">d_x3</a>[n]</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;            += alpha_dbl * inv_sigma[n] * (y_div_sigma_pow_alpha[n] - 1.0);</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;      }</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      <span class="keywordflow">return</span> operands_and_partials.<a class="code" href="structstan_1_1math_1_1_operands_and_partials.html#a2b77950cdace13d5020ab4f152d6225b">value</a>(logp);</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    }</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div>
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+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_shape, T_scale&gt;::type</a></div>
+<div class="line"><a name="l00143"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a76561164f1ff9ed6e70bf4a75e6f8ae2">  143</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a4f3a52747636627895374aa555279a92">weibull_log</a>(<span class="keyword">const</span> T_y&amp; y, <span class="keyword">const</span> T_shape&amp; alpha, <span class="keyword">const</span> T_scale&amp; sigma) {</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      <span class="keywordflow">return</span> weibull_log&lt;false&gt;(y, alpha, sigma);</div>
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+<div class="ttc" id="structstan_1_1math_1_1_operands_and_partials_html"><div class="ttname"><a href="structstan_1_1math_1_1_operands_and_partials.html">stan::math::OperandsAndPartials</a></div><div class="ttdoc">This class builds partial derivatives with respect to a set of operands. </div><div class="ttdef"><b>Definition:</b> <a href="prim_2scal_2meta_2_operands_and_partials_8hpp_source.html#l00038">OperandsAndPartials.hpp:38</a></div></div>
+<div class="ttc" id="scal_2meta_2_vector_view_8hpp_html"><div class="ttname"><a href="scal_2meta_2_vector_view_8hpp.html">VectorView.hpp</a></div></div>
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+<div class="ttc" id="classstan_1_1_vector_builder_html"><div class="ttname"><a href="classstan_1_1_vector_builder.html">stan::VectorBuilder</a></div><div class="ttdoc">VectorBuilder allocates type T1 values to be used as intermediate values. </div><div class="ttdef"><b>Definition:</b> <a href="_vector_builder_8hpp_source.html#l00028">VectorBuilder.hpp:28</a></div></div>
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+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="title">weibull_rng.hpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;boost/random/weibull_distribution.hpp&gt;</code><br />
+<code>#include &lt;boost/random/variate_generator.hpp&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__nonnegative_8hpp_source.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive__finite_8hpp_source.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2multiply__log_8hpp_source.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="scal_2meta_2length_8hpp_source.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+</div>
+<p><a href="weibull__rng_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:afd376b3fe82077f0565de1fbef6b4202"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:afd376b3fe82077f0565de1fbef6b4202"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#afd376b3fe82077f0565de1fbef6b4202">stan::math::weibull_rng</a> (const double alpha, const double sigma, RNG &amp;rng)</td></tr>
+<tr class="separator:afd376b3fe82077f0565de1fbef6b4202"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_5d16685896f16be8a05661ea8e564330.html">scal</a></li><li class="navelem"><a class="el" href="dir_a5746600e54a6139e3848ab2bae00bf9.html">prob</a></li>  </ul>
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+<div class="title">weibull_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="weibull__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_SCAL_PROB_WEIBULL_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_SCAL_PROB_WEIBULL_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;boost/random/weibull_distribution.hpp&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;boost/random/variate_generator.hpp&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__nonnegative_8hpp.html">stan/math/prim/scal/err/check_nonnegative.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive__finite_8hpp.html">stan/math/prim/scal/err/check_positive_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2multiply__log_8hpp.html">stan/math/prim/scal/fun/multiply_log.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="scal_2meta_2length_8hpp.html">stan/math/prim/scal/meta/length.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#afd376b3fe82077f0565de1fbef6b4202">   23</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#afd376b3fe82077f0565de1fbef6b4202">weibull_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> alpha,</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">double</span> sigma,</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;                RNG&amp; rng) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;      <span class="keyword">using</span> boost::variate_generator;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;      <span class="keyword">using</span> boost::random::weibull_distribution;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::weibull_rng&quot;</span>);</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a>;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Shape parameter&quot;</span>, alpha);</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <a class="code" href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">check_positive_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Scale parameter&quot;</span>, sigma);</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      variate_generator&lt;RNG&amp;, weibull_distribution&lt;&gt; &gt;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        <a class="code" href="namespacestan_1_1math.html#afd376b3fe82077f0565de1fbef6b4202">weibull_rng</a>(rng, weibull_distribution&lt;&gt;(alpha, sigma));</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#afd376b3fe82077f0565de1fbef6b4202">weibull_rng</a>();</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    }</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;}</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="check__not__nan_8hpp_html"><div class="ttname"><a href="check__not__nan_8hpp.html">check_not_nan.hpp</a></div></div>
+<div class="ttc" id="check__positive__finite_8hpp_html"><div class="ttname"><a href="check__positive__finite_8hpp.html">check_positive_finite.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2multiply__log_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2multiply__log_8hpp.html">multiply_log.hpp</a></div></div>
+<div class="ttc" id="check__nonnegative_8hpp_html"><div class="ttname"><a href="check__nonnegative_8hpp.html">check_nonnegative.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_afd376b3fe82077f0565de1fbef6b4202"><div class="ttname"><a href="namespacestan_1_1math.html#afd376b3fe82077f0565de1fbef6b4202">stan::math::weibull_rng</a></div><div class="ttdeci">double weibull_rng(const double alpha, const double sigma, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="weibull__rng_8hpp_source.html#l00023">weibull_rng.hpp:23</a></div></div>
+<div class="ttc" id="scal_2meta_2length_8hpp_html"><div class="ttname"><a href="scal_2meta_2length_8hpp.html">length.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_af0725693b09e454f5c8327ac89cf0245"><div class="ttname"><a href="namespacestan_1_1math.html#af0725693b09e454f5c8327ac89cf0245">stan::math::check_positive_finite</a></div><div class="ttdeci">bool check_positive_finite(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive and finite. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive__finite_8hpp_source.html#l00028">check_positive_finite.hpp:28</a></div></div>
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+<div class="title">welford_covar_estimator.hpp</div>  </div>
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+<a href="welford__covar__estimator_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_FUN_WELFORD_COVAR_ESTIMATOR_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_WELFORD_COVAR_ESTIMATOR_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="_eigen_8hpp.html">stan/math/prim/mat/fun/Eigen.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;vector&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;</div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
+<div class="line"><a name="l00011"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__covar__estimator.html">   11</a></span>&#160;    <span class="keyword">class </span><a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html">welford_covar_estimator</a> {</div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__covar__estimator.html#a91b414e3472b5a9d83be8caca053b933">   13</a></span>&#160;      <span class="keyword">explicit</span> <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#a91b414e3472b5a9d83be8caca053b933">welford_covar_estimator</a>(<span class="keywordtype">int</span> n)</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;        : <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#a469e4f07d669c1021cfbd5c50db3f290">_m</a>(<a class="code" href="namespace_eigen.html">Eigen</a>::VectorXd::Zero(n)),</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;          <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#aad5f954fb329515cfbd7b3c42c7f08ea">_m2</a>(<a class="code" href="namespace_eigen.html">Eigen</a>::MatrixXd::Zero(n, n)) {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#a93b3b515ae3114705517faf174d72205">restart</a>();</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      }</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__covar__estimator.html#a93b3b515ae3114705517faf174d72205">   19</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#a93b3b515ae3114705517faf174d72205">restart</a>() {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#a5f7ae37d6344c34adf7ec26359540a49">_num_samples</a> = 0;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#a469e4f07d669c1021cfbd5c50db3f290">_m</a>.setZero();</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#aad5f954fb329515cfbd7b3c42c7f08ea">_m2</a>.setZero();</div>
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+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        ++<a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#a5f7ae37d6344c34adf7ec26359540a49">_num_samples</a>;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
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+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__covar__estimator.html#a7d3a664aac837b2448ee6e51b570616a">   37</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#a7d3a664aac837b2448ee6e51b570616a">sample_covariance</a>(Eigen::MatrixXd&amp; covar) {</div>
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+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;          covar = <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#aad5f954fb329515cfbd7b3c42c7f08ea">_m2</a> / (<a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#a5f7ae37d6344c34adf7ec26359540a49">_num_samples</a> - 1.0);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">protected</span>:</div>
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+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__covar__estimator.html#a469e4f07d669c1021cfbd5c50db3f290">   45</a></span>&#160;      Eigen::VectorXd <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#a469e4f07d669c1021cfbd5c50db3f290">_m</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__covar__estimator.html#aad5f954fb329515cfbd7b3c42c7f08ea">   46</a></span>&#160;      Eigen::MatrixXd <a class="code" href="classstan_1_1math_1_1welford__covar__estimator.html#aad5f954fb329515cfbd7b3c42c7f08ea">_m2</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    };</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  }  <span class="comment">// prob</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;}  <span class="comment">// stan</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__covar__estimator_html_a2ec375fd25e5d9a0c04b05082632f2fe"><div class="ttname"><a href="classstan_1_1math_1_1welford__covar__estimator.html#a2ec375fd25e5d9a0c04b05082632f2fe">stan::math::welford_covar_estimator::num_samples</a></div><div class="ttdeci">int num_samples()</div><div class="ttdef"><b>Definition:</b> <a href="welford__covar__estimator_8hpp_source.html#l00033">welford_covar_estimator.hpp:33</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__covar__estimator_html_a93b3b515ae3114705517faf174d72205"><div class="ttname"><a href="classstan_1_1math_1_1welford__covar__estimator.html#a93b3b515ae3114705517faf174d72205">stan::math::welford_covar_estimator::restart</a></div><div class="ttdeci">void restart()</div><div class="ttdef"><b>Definition:</b> <a href="welford__covar__estimator_8hpp_source.html#l00019">welford_covar_estimator.hpp:19</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__covar__estimator_html_a469e4f07d669c1021cfbd5c50db3f290"><div class="ttname"><a href="classstan_1_1math_1_1welford__covar__estimator.html#a469e4f07d669c1021cfbd5c50db3f290">stan::math::welford_covar_estimator::_m</a></div><div class="ttdeci">Eigen::VectorXd _m</div><div class="ttdef"><b>Definition:</b> <a href="welford__covar__estimator_8hpp_source.html#l00045">welford_covar_estimator.hpp:45</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
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+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_FUN_WELFORD_VAR_ESTIMATOR_HPP</span></div>
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+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;    <span class="keyword">public</span>:</div>
+<div class="line"><a name="l00013"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__var__estimator.html#a6fbed26e157b497f90f22d6a4fa08f50">   13</a></span>&#160;      <span class="keyword">explicit</span> <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#a6fbed26e157b497f90f22d6a4fa08f50">welford_var_estimator</a>(<span class="keywordtype">int</span> n)</div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;        : <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">_m</a>(<a class="code" href="namespace_eigen.html">Eigen</a>::VectorXd::Zero(n)),</div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;          <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#a6bf443dd58713599fdfa6dcdd2cede20">_m2</a>(<a class="code" href="namespace_eigen.html">Eigen</a>::VectorXd::Zero(n)) {</div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;        <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#a8fe05482776782589809b802b12c1ce8">restart</a>();</div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;      }</div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;</div>
+<div class="line"><a name="l00019"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__var__estimator.html#a8fe05482776782589809b802b12c1ce8">   19</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#a8fe05482776782589809b802b12c1ce8">restart</a>() {</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;        <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">_num_samples</a> = 0;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">_m</a>.setZero();</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#a6bf443dd58713599fdfa6dcdd2cede20">_m2</a>.setZero();</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;      }</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__var__estimator.html#ab06deee0c1f179a87969e2a2e76599fd">   25</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#ab06deee0c1f179a87969e2a2e76599fd">add_sample</a>(<span class="keyword">const</span> Eigen::VectorXd&amp; q) {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        ++<a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">_num_samples</a>;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;        Eigen::VectorXd delta(q - <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">_m</a>);</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;        <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">_m</a>  += delta / <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">_num_samples</a>;</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;        <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#a6bf443dd58713599fdfa6dcdd2cede20">_m2</a> += delta.cwiseProduct(q - <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">_m</a>);</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;      }</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
+<div class="line"><a name="l00033"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__var__estimator.html#aec56710e92822346d88c9560e89bac31">   33</a></span>&#160;      <span class="keywordtype">int</span> <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aec56710e92822346d88c9560e89bac31">num_samples</a>() { <span class="keywordflow">return</span> <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">_num_samples</a>; }</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
+<div class="line"><a name="l00035"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__var__estimator.html#aeee360036653a776666878188a4a15a0">   35</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aeee360036653a776666878188a4a15a0">sample_mean</a>(Eigen::VectorXd&amp; <a class="code" href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">mean</a>) { mean = <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">_m</a>; }</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;</div>
+<div class="line"><a name="l00037"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__var__estimator.html#a9dcda25a6b3ee85b207fb2b4975faa08">   37</a></span>&#160;      <span class="keywordtype">void</span> <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#a9dcda25a6b3ee85b207fb2b4975faa08">sample_variance</a>(Eigen::VectorXd&amp; <a class="code" href="classstan_1_1math_1_1var.html">var</a>) {</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        <span class="keywordflow">if</span> (<a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">_num_samples</a> &gt; 1)</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;          var = <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#a6bf443dd58713599fdfa6dcdd2cede20">_m2</a> / (<a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">_num_samples</a> - 1.0);</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      }</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="keyword">protected</span>:</div>
+<div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">   43</a></span>&#160;      <span class="keywordtype">double</span> <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">_num_samples</a>;</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">   45</a></span>&#160;      Eigen::VectorXd <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">_m</a>;</div>
+<div class="line"><a name="l00046"></a><span class="lineno"><a class="line" href="classstan_1_1math_1_1welford__var__estimator.html#a6bf443dd58713599fdfa6dcdd2cede20">   46</a></span>&#160;      Eigen::VectorXd <a class="code" href="classstan_1_1math_1_1welford__var__estimator.html#a6bf443dd58713599fdfa6dcdd2cede20">_m2</a>;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    };</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  }  <span class="comment">// prob</span></div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;}  <span class="comment">// stan</span></div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__var__estimator_html_aec56710e92822346d88c9560e89bac31"><div class="ttname"><a href="classstan_1_1math_1_1welford__var__estimator.html#aec56710e92822346d88c9560e89bac31">stan::math::welford_var_estimator::num_samples</a></div><div class="ttdeci">int num_samples()</div><div class="ttdef"><b>Definition:</b> <a href="welford__var__estimator_8hpp_source.html#l00033">welford_var_estimator.hpp:33</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__var__estimator_html_a6fbed26e157b497f90f22d6a4fa08f50"><div class="ttname"><a href="classstan_1_1math_1_1welford__var__estimator.html#a6fbed26e157b497f90f22d6a4fa08f50">stan::math::welford_var_estimator::welford_var_estimator</a></div><div class="ttdeci">welford_var_estimator(int n)</div><div class="ttdef"><b>Definition:</b> <a href="welford__var__estimator_8hpp_source.html#l00013">welford_var_estimator.hpp:13</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__var__estimator_html_aea7b1397020cfbca06379e8bb1e1b420"><div class="ttname"><a href="classstan_1_1math_1_1welford__var__estimator.html#aea7b1397020cfbca06379e8bb1e1b420">stan::math::welford_var_estimator::_num_samples</a></div><div class="ttdeci">double _num_samples</div><div class="ttdef"><b>Definition:</b> <a href="welford__var__estimator_8hpp_source.html#l00043">welford_var_estimator.hpp:43</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__var__estimator_html_aa9b83535c85f9f7d70dab642ae6d5e42"><div class="ttname"><a href="classstan_1_1math_1_1welford__var__estimator.html#aa9b83535c85f9f7d70dab642ae6d5e42">stan::math::welford_var_estimator::_m</a></div><div class="ttdeci">Eigen::VectorXd _m</div><div class="ttdef"><b>Definition:</b> <a href="welford__var__estimator_8hpp_source.html#l00045">welford_var_estimator.hpp:45</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1var_html"><div class="ttname"><a href="classstan_1_1math_1_1var.html">stan::math::var</a></div><div class="ttdoc">Independent (input) and dependent (output) variables for gradients. </div><div class="ttdef"><b>Definition:</b> <a href="var_8hpp_source.html#l00031">var.hpp:31</a></div></div>
+<div class="ttc" id="namespace_eigen_html"><div class="ttname"><a href="namespace_eigen.html">Eigen</a></div><div class="ttdoc">(Expert) Numerical traits for algorithmic differentiation variables. </div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2_eigen___num_traits_8hpp_source.html#l00008">Eigen_NumTraits.hpp:8</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__var__estimator_html_aeee360036653a776666878188a4a15a0"><div class="ttname"><a href="classstan_1_1math_1_1welford__var__estimator.html#aeee360036653a776666878188a4a15a0">stan::math::welford_var_estimator::sample_mean</a></div><div class="ttdeci">void sample_mean(Eigen::VectorXd &amp;mean)</div><div class="ttdef"><b>Definition:</b> <a href="welford__var__estimator_8hpp_source.html#l00035">welford_var_estimator.hpp:35</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a3443c4ac994b039a7f055c55c5afa8a3"><div class="ttname"><a href="namespacestan_1_1math.html#a3443c4ac994b039a7f055c55c5afa8a3">stan::math::mean</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T &gt;::type mean(const std::vector&lt; T &gt; &amp;v)</div><div class="ttdoc">Returns the sample mean (i.e., average) of the coefficients in the specified standard vector...</div><div class="ttdef"><b>Definition:</b> <a href="mean_8hpp_source.html#l00023">mean.hpp:23</a></div></div>
+<div class="ttc" id="_eigen_8hpp_html"><div class="ttname"><a href="_eigen_8hpp.html">Eigen.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__var__estimator_html_ab06deee0c1f179a87969e2a2e76599fd"><div class="ttname"><a href="classstan_1_1math_1_1welford__var__estimator.html#ab06deee0c1f179a87969e2a2e76599fd">stan::math::welford_var_estimator::add_sample</a></div><div class="ttdeci">void add_sample(const Eigen::VectorXd &amp;q)</div><div class="ttdef"><b>Definition:</b> <a href="welford__var__estimator_8hpp_source.html#l00025">welford_var_estimator.hpp:25</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__var__estimator_html"><div class="ttname"><a href="classstan_1_1math_1_1welford__var__estimator.html">stan::math::welford_var_estimator</a></div><div class="ttdef"><b>Definition:</b> <a href="welford__var__estimator_8hpp_source.html#l00011">welford_var_estimator.hpp:11</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__var__estimator_html_a6bf443dd58713599fdfa6dcdd2cede20"><div class="ttname"><a href="classstan_1_1math_1_1welford__var__estimator.html#a6bf443dd58713599fdfa6dcdd2cede20">stan::math::welford_var_estimator::_m2</a></div><div class="ttdeci">Eigen::VectorXd _m2</div><div class="ttdef"><b>Definition:</b> <a href="welford__var__estimator_8hpp_source.html#l00046">welford_var_estimator.hpp:46</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__var__estimator_html_a9dcda25a6b3ee85b207fb2b4975faa08"><div class="ttname"><a href="classstan_1_1math_1_1welford__var__estimator.html#a9dcda25a6b3ee85b207fb2b4975faa08">stan::math::welford_var_estimator::sample_variance</a></div><div class="ttdeci">void sample_variance(Eigen::VectorXd &amp;var)</div><div class="ttdef"><b>Definition:</b> <a href="welford__var__estimator_8hpp_source.html#l00037">welford_var_estimator.hpp:37</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1welford__var__estimator_html_a8fe05482776782589809b802b12c1ce8"><div class="ttname"><a href="classstan_1_1math_1_1welford__var__estimator.html#a8fe05482776782589809b802b12c1ce8">stan::math::welford_var_estimator::restart</a></div><div class="ttdeci">void restart()</div><div class="ttdef"><b>Definition:</b> <a href="welford__var__estimator_8hpp_source.html#l00019">welford_var_estimator.hpp:19</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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+   &#160;<span id="projectnumber">2.10.0</span>
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+   <div id="projectbrief">reverse mode automatic differentiation</div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2square_8hpp_source.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2value__of_8hpp_source.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__consistent__sizes_8hpp_source.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__bounded_8hpp_source.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__finite_8hpp_source.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__not__nan_8hpp_source.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__positive_8hpp_source.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="return__type_8hpp_source.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+<code>#include &lt;boost/math/distributions.hpp&gt;</code><br />
+<code>#include &lt;cmath&gt;</code><br />
+<code>#include &lt;algorithm&gt;</code><br />
+</div>
+<p><a href="wiener__log_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:ae7a28135e8fe64782357d52062380796"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_alpha , typename T_tau , typename T_beta , typename T_delta &gt; </td></tr>
+<tr class="memitem:ae7a28135e8fe64782357d52062380796"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_alpha, T_tau, T_beta, T_delta &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#ae7a28135e8fe64782357d52062380796">stan::math::wiener_log</a> (const T_y &amp;y, const T_alpha &amp;alpha, const T_tau &amp;tau, const T_beta &amp;beta, const T_delta &amp;delta)</td></tr>
+<tr class="memdesc:ae7a28135e8fe64782357d52062380796"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of the first passage time density function for a (Wiener) drift diffusion model for the given <img class="formulaInl" alt="$y$" src="form_201.png"/>, boundary separation <img class="formulaInl" alt="$\alpha$" src="form_202.png"/>, nondecision time <img class="formulaInl" alt="$\tau$" src="form_203.png"/>, relative bias <img class="formulaInl" alt="$\beta$" src="form_204.png"/>, and drift rate <img class="formulaInl" alt="$\delta$" src="form_205.png"/>.  <a href="namespacestan_1_1math.html#ae7a28135e8fe64782357d52062380796">More...</a><br /></td></tr>
+<tr class="separator:ae7a28135e8fe64782357d52062380796"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a51ee0070ef7fdeac83b11eae40b1646a"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_alpha , typename T_tau , typename T_beta , typename T_delta &gt; </td></tr>
+<tr class="memitem:a51ee0070ef7fdeac83b11eae40b1646a"><td class="memTemplItemLeft" align="right" valign="top">return_type&lt; T_y, T_alpha, T_tau, T_beta, T_delta &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a51ee0070ef7fdeac83b11eae40b1646a">stan::math::wiener_log</a> (const T_y &amp;y, const T_alpha &amp;alpha, const T_tau &amp;tau, const T_beta &amp;beta, const T_delta &amp;delta)</td></tr>
+<tr class="separator:a51ee0070ef7fdeac83b11eae40b1646a"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<a href="wiener__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// Copyright (c) 2013, Joachim Vandekerckhove.</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// All rights reserved.</span></div>
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+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Redistribution and use in source and binary forms, with or without</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">// modification, are permitted</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// provided that the following conditions are met:</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">//</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">//   * Redistributions of source code must retain the above copyright notice,</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">//   * this list of conditions and the following disclaimer.</span></div>
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+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">//   * this list of conditions and the following disclaimer in the</span></div>
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+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">//   * Neither the name of the University of California, Irvine nor the names</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">//   * of its contributors may be used to endorse or promote products derived</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">//   * from this software without specific prior written permission.</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment">//</span></div>
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+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment">// THE POSSIBILITY OF SUCH DAMAGE.</span></div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;</div>
+<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_WIENER_LOG_HPP</span></div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_WIENER_LOG_HPP</span></div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2square_8hpp.html">stan/math/prim/scal/fun/square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2value__of_8hpp.html">stan/math/prim/scal/fun/value_of.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__consistent__sizes_8hpp.html">stan/math/prim/scal/err/check_consistent_sizes.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__bounded_8hpp.html">stan/math/prim/scal/err/check_bounded.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__finite_8hpp.html">stan/math/prim/scal/err/check_finite.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__not__nan_8hpp.html">stan/math/prim/scal/err/check_not_nan.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__positive_8hpp.html">stan/math/prim/scal/err/check_positive.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="return__type_8hpp.html">stan/math/prim/scal/meta/return_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;<span class="preprocessor">#include &lt;boost/math/distributions.hpp&gt;</span></div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span>  <span class="comment">// for max</span></div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;     <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;               <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_alpha, <span class="keyword">typename</span> T_tau,</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;               <span class="keyword">typename</span> T_beta, <span class="keyword">typename</span> T_delta&gt;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;     <span class="keyword">typename</span> return_type&lt;T_y, T_alpha, T_tau, T_beta, T_delta&gt;::type</div>
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+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;       <span class="keyword">const</span> T_beta&amp; beta, <span class="keyword">const</span> T_delta&amp; delta) {</div>
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+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
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+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespaceboost_1_1math.html#a99b3c9ca2565e57981ac77d110c0f26d">boost::math::isfinite</a>;</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">std::log</a>;</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">std::exp</a>;</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">std::pow</a>;</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> WIENER_ERR = 0.000001;</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> PI_TIMES_WIENER_ERR = <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>() * WIENER_ERR;</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> LOG_PI_LOG_WIENER_ERR =</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <a class="code" href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">LOG_PI</a> + <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(WIENER_ERR);</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        TWO_TIMES_SQRT_2_TIMES_SQRT_PI_TIMES_WIENER_ERR =</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        2.0 * <a class="code" href="namespacestan_1_1math.html#aa628c5af5a85d53472f0126fcca44524">SQRT_2_TIMES_SQRT_PI</a> * WIENER_ERR;</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> LOG_TWO_OVER_TWO_PLUS_LOG_SQRT_PI =</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;       <a class="code" href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">LOG_TWO</a> / 2 + <a class="code" href="namespacestan_1_1math.html#ab836723c882918b6263042bdefa3c0d7">LOG_SQRT_PI</a>;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> SQUARE_PI_OVER_TWO = <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(<a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>()) * 0.5;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">double</span> TWO_TIMES_LOG_SQRT_PI = 2.0 * <a class="code" href="namespacestan_1_1math.html#ab836723c882918b6263042bdefa3c0d7">LOG_SQRT_PI</a>;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordflow">if</span> (!(<a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(y)</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(alpha)</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(beta)</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(tau)</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        &amp;&amp; <a class="code" href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a>(delta)))</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html">return_type</a>&lt;T_y, T_alpha, T_tau,</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;                                   T_beta, T_delta&gt;::type T_return_type;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      T_return_type lp(0.0);</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Boundary separation&quot;</span>, alpha);</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;A-priori bias&quot;</span>, beta);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Nondecision time&quot;</span>, tau);</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a7942532ef8f89cee24af75a383835ee1">check_not_nan</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Drift rate&quot;</span>, delta);</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Boundary separation&quot;</span>, alpha);</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;A-priori bias&quot;</span>, beta);</div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Nondecision time&quot;</span>, tau);</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a5bf014e7733b17748049ccc5f3565de3">check_finite</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Drift rate&quot;</span>, delta);</div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Random variable&quot;</span>, y);</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Boundary separation&quot;</span>, alpha);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Nondecision time&quot;</span>, tau);</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">check_bounded</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;A-priori bias&quot;</span>, beta , 0, 1);</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">check_consistent_sizes</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;                             <span class="stringliteral">&quot;Random variable&quot;</span>, y,</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;                             <span class="stringliteral">&quot;Boundary separation&quot;</span>, alpha,</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                             <span class="stringliteral">&quot;A-priori bias&quot;</span>, beta,</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;                             <span class="stringliteral">&quot;Nondecision time&quot;</span>, tau,</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;                             <span class="stringliteral">&quot;Drift rate&quot;</span>, delta);</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordtype">size_t</span> N =</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        <a class="code" href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">std::max</a>(<a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(y, alpha, beta), <a class="code" href="namespacestan.html#a8b2c79a3a686dcf90566be8492e1065d">max_size</a>(tau, delta));</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;      <span class="keywordflow">if</span> (!N)</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">return</span> 0.0;</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_y&gt;</a> y_vec(y);</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_alpha&gt;</a> alpha_vec(alpha);</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_beta&gt;</a> beta_vec(beta);</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_tau&gt;</a> tau_vec(tau);</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;      <a class="code" href="classstan_1_1_vector_view.html">VectorView&lt;const T_delta&gt;</a> delta_vec(delta);</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand</a>&lt;propto, T_y, T_alpha, T_tau,</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;          T_beta, T_delta&gt;::value) {</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="keywordflow">return</span> 0;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      }</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++)</div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        <span class="keywordflow">if</span> (y_vec[i] &lt; tau_vec[i]) {</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;          lp = <a class="code" href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a>();</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;          <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; N; i++) {</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;        <span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">scalar_type&lt;T_beta&gt;::type</a> one_minus_beta</div>
+<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;          = 1.0 - beta_vec[i];</div>
+<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;        <span class="keyword">typename</span> <a class="code" href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">scalar_type&lt;T_alpha&gt;::type</a> alpha2</div>
+<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;          = <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(alpha_vec[i]);</div>
+<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;        T_return_type x = y_vec[i];</div>
+<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        T_return_type kl, ks, tmp = 0;</div>
+<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        T_return_type k, K;</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;</div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;        x = x - tau_vec[i];  <span class="comment">// remove non-decision time from x</span></div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;        x = x / alpha2;  <span class="comment">// convert t to normalized time tt</span></div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;        T_return_type sqrt_x = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(x);</div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;        T_return_type log_x = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(x);</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;        T_return_type one_over_pi_times_sqrt_x = 1.0 / <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>() * sqrt_x;</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        <span class="comment">// calculate number of terms needed for large t:</span></div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        <span class="comment">// if error threshold is set low enough</span></div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;        <span class="keywordflow">if</span> (PI_TIMES_WIENER_ERR * x &lt; 1) {</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;          <span class="comment">// compute bound</span></div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;          kl = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(-2.0 * <a class="code" href="namespacestan_1_1math.html#a3e31fd76fde6e97d14dfb26c5f4ab8d0">SQRT_PI</a> *</div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;               (LOG_PI_LOG_WIENER_ERR + log_x)) /</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;               sqrt_x;</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;          <span class="comment">// ensure boundary conditions met</span></div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;          kl = (kl &gt; one_over_pi_times_sqrt_x) ?</div>
+<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;               kl : one_over_pi_times_sqrt_x;</div>
+<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;        } <span class="keywordflow">else</span> {  <span class="comment">// if error threshold set too high</span></div>
+<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;          kl = one_over_pi_times_sqrt_x;  <span class="comment">// set to boundary condition</span></div>
+<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        }</div>
+<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;        <span class="comment">// calculate number of terms needed for small t:</span></div>
+<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;        <span class="comment">// if error threshold is set low enough</span></div>
+<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;        T_return_type tmp_expr0</div>
+<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;          = TWO_TIMES_SQRT_2_TIMES_SQRT_PI_TIMES_WIENER_ERR * sqrt_x;</div>
+<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        <span class="keywordflow">if</span> (tmp_expr0 &lt; 1) {</div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;          <span class="comment">// compute bound</span></div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;          ks = 2.0 +  sqrt_x * <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">sqrt</a>(-2 * <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(tmp_expr0));</div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;          <span class="comment">// ensure boundary conditions are met</span></div>
+<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;          T_return_type sqrt_x_plus_one = sqrt_x + 1.0;</div>
+<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;          ks = (ks &gt; sqrt_x_plus_one) ? ks : sqrt_x_plus_one;</div>
+<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;        } <span class="keywordflow">else</span> {  <span class="comment">// if error threshold was set too high</span></div>
+<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;          ks = 2.0;  <span class="comment">// minimal kappa for that case</span></div>
+<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;        }</div>
+<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;        <span class="comment">// compute density: f(tt|0,1,w)</span></div>
+<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;        <span class="keywordflow">if</span> (ks &lt; kl) {  <span class="comment">// if small t is better (i.e., lambda&lt;0)</span></div>
+<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;          K = <a class="code" href="namespacestan_1_1math.html#ab1b2e9b4a947b81917612a8d1d547afb">ceil</a>(ks);  <span class="comment">// round to smallest integer meeting error</span></div>
+<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;          T_return_type tmp_expr1 = (K - 1.0) / 2.0;</div>
+<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;          T_return_type tmp_expr2 = <a class="code" href="namespacestan_1_1math.html#ab1b2e9b4a947b81917612a8d1d547afb">ceil</a>(tmp_expr1);</div>
+<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;          <span class="keywordflow">for</span> (k = -<a class="code" href="namespacestan_1_1math.html#a16e5a2666b377e37fe807765ba5f6aaf">floor</a>(tmp_expr1); k &lt;= tmp_expr2; k++)</div>
+<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;            <span class="comment">// increment sum</span></div>
+<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;            tmp += (one_minus_beta + 2.0 * k) *</div>
+<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;                    <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-(<a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(one_minus_beta + 2.0 * k)) * 0.5 / x);</div>
+<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;            <span class="comment">// add constant term</span></div>
+<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;            tmp = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(tmp) -</div>
+<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;                  LOG_TWO_OVER_TWO_PLUS_LOG_SQRT_PI - 1.5 * log_x;</div>
+<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;        } <span class="keywordflow">else</span> {  <span class="comment">// if large t is better...</span></div>
+<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;          K = <a class="code" href="namespacestan_1_1math.html#ab1b2e9b4a947b81917612a8d1d547afb">ceil</a>(kl);  <span class="comment">// round to smallest integer meeting error</span></div>
+<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;          <span class="keywordflow">for</span> (k = 1; k &lt;= K; k++)</div>
+<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;            <span class="comment">// increment sum</span></div>
+<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;            tmp += k * <a class="code" href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">exp</a>(-(<a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(k)) *</div>
+<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;                   (SQUARE_PI_OVER_TWO * x)) *</div>
+<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;                   <a class="code" href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">sin</a>(k * <a class="code" href="namespacestan_1_1math.html#aa2ffd66726e0532160e16e6b48d6f428">pi</a>() * one_minus_beta);</div>
+<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;            tmp = <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(tmp) +</div>
+<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;                  TWO_TIMES_LOG_SQRT_PI;  <span class="comment">// add constant term</span></div>
+<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;        }</div>
+<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;</div>
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+<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;        lp += delta_vec[i] * alpha_vec[i] * one_minus_beta -</div>
+<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;              <a class="code" href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">square</a>(delta_vec[i]) * x * alpha2 / 2.0 -</div>
+<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;              <a class="code" href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">log</a>(alpha2) + tmp;</div>
+<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;      }</div>
+<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;</div>
+<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;      <span class="keywordflow">return</span> lp;</div>
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+<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;    <span class="keyword">typename</span> <a class="code" href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">return_type&lt;T_y, T_alpha, T_tau, T_beta, T_delta&gt;::type</a></div>
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+<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;               <span class="keyword">const</span> T_beta&amp; beta, <span class="keyword">const</span> T_delta&amp; delta) {</div>
+<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;      <span class="keywordflow">return</span> wiener_log&lt;false&gt;(y, alpha, tau, beta, delta);</div>
+<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;    }</div>
+<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;  }</div>
+<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;}</div>
+<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;<span class="preprocessor">#endif</span></div>
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+<div class="ttc" id="check__positive_8hpp_html"><div class="ttname"><a href="check__positive_8hpp.html">check_positive.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_af6dd9cf6abfd8930528d3635890982b1"><div class="ttname"><a href="namespacestan_1_1math.html#af6dd9cf6abfd8930528d3635890982b1">stan::math::LOG_PI</a></div><div class="ttdeci">const double LOG_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00170">constants.hpp:170</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a915ada1e5971c467aa16ee926997a442"><div class="ttname"><a href="namespacestan_1_1math.html#a915ada1e5971c467aa16ee926997a442">stan::math::log</a></div><div class="ttdeci">fvar&lt; T &gt; log(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2log_8hpp_source.html#l00015">log.hpp:15</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2square_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2square_8hpp.html">square.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab836723c882918b6263042bdefa3c0d7"><div class="ttname"><a href="namespacestan_1_1math.html#ab836723c882918b6263042bdefa3c0d7">stan::math::LOG_SQRT_PI</a></div><div class="ttdeci">const double LOG_SQRT_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00173">constants.hpp:173</a></div></div>
+<div class="ttc" id="namespacestan_html_adb2e0700b1ec87a5e080cd50026b0182"><div class="ttname"><a href="namespacestan.html#adb2e0700b1ec87a5e080cd50026b0182">stan::length</a></div><div class="ttdeci">size_t length(const std::vector&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="arr_2meta_2length_8hpp_source.html#l00010">length.hpp:10</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a16d53b31b377bc3fc120d6469af3d99e"><div class="ttname"><a href="namespacestan_1_1math.html#a16d53b31b377bc3fc120d6469af3d99e">stan::math::check_bounded</a></div><div class="ttdeci">bool check_bounded(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low, const T_high &amp;high)</div><div class="ttdoc">Return true if the value is between the low and high values, inclusively. </div><div class="ttdef"><b>Definition:</b> <a href="check__bounded_8hpp_source.html#l00095">check_bounded.hpp:95</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html"><div class="ttname"><a href="structstan_1_1return__type.html">stan::return_type</a></div><div class="ttdoc">Metaprogram to calculate the base scalar return type resulting from promoting all the scalar types of...</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00019">return_type.hpp:19</a></div></div>
+<div class="ttc" id="structstan_1_1scalar__type_html_aa9068e42d81d7091f822df126fe932b7"><div class="ttname"><a href="structstan_1_1scalar__type.html#aa9068e42d81d7091f822df126fe932b7">stan::scalar_type::type</a></div><div class="ttdeci">scalar_type_helper&lt; is_vector&lt; T &gt;::value, T &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2scalar__type_8hpp_source.html#l00035">scalar_type.hpp:35</a></div></div>
+<div class="ttc" id="return__type_8hpp_html"><div class="ttname"><a href="return__type_8hpp.html">return_type.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="structstan_1_1return__type_html_af3130731cc471801ccef3bc753dd790b"><div class="ttname"><a href="structstan_1_1return__type.html#af3130731cc471801ccef3bc753dd790b">stan::return_type::type</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; typename scalar_type&lt; T1 &gt;::type, typename scalar_type&lt; T2 &gt;::type, typename scalar_type&lt; T3 &gt;::type, typename scalar_type&lt; T4 &gt;::type, typename scalar_type&lt; T5 &gt;::type, typename scalar_type&lt; T6 &gt;::type &gt;::type type</div><div class="ttdef"><b>Definition:</b> <a href="return__type_8hpp_source.html#l00027">return_type.hpp:27</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ab1ed68bdfff9b340a187964ef7684091"><div class="ttname"><a href="namespacestan_1_1math.html#ab1ed68bdfff9b340a187964ef7684091">stan::math::square</a></div><div class="ttdeci">fvar&lt; T &gt; square(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2square_8hpp_source.html#l00015">square.hpp:15</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad7a5d92de812b4b632801cf8e32dbe7d"><div class="ttname"><a href="namespacestan_1_1math.html#ad7a5d92de812b4b632801cf8e32dbe7d">stan::math::LOG_TWO</a></div><div class="ttdeci">const double LOG_TWO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00177">constants.hpp:177</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa628c5af5a85d53472f0126fcca44524"><div class="ttname"><a href="namespacestan_1_1math.html#aa628c5af5a85d53472f0126fcca44524">stan::math::SQRT_2_TIMES_SQRT_PI</a></div><div class="ttdeci">const double SQRT_2_TIMES_SQRT_PI</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00158">constants.hpp:158</a></div></div>
+<div class="ttc" id="namespaceboost_1_1math_html_a3d7d6e376e25db9cff72f82ca4c3e684"><div class="ttname"><a href="namespaceboost_1_1math.html#a3d7d6e376e25db9cff72f82ca4c3e684">boost::math::isinf</a></div><div class="ttdeci">bool isinf(const stan::math::var &amp;v)</div><div class="ttdoc">Checks if the given number is infinite. </div><div class="ttdef"><b>Definition:</b> <a href="boost__isinf_8hpp_source.html#l00022">boost_isinf.hpp:22</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aff3f2dd84567a0566cfdd7eb10e13607"><div class="ttname"><a href="namespacestan_1_1math.html#aff3f2dd84567a0566cfdd7eb10e13607">stan::math::sin</a></div><div class="ttdeci">fvar&lt; T &gt; sin(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sin_8hpp_source.html#l00014">sin.hpp:14</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a11f31444e8584e4debf0d6b706d66880"><div class="ttname"><a href="namespacestan_1_1math.html#a11f31444e8584e4debf0d6b706d66880">stan::math::exp</a></div><div class="ttdeci">fvar&lt; T &gt; exp(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2exp_8hpp_source.html#l00010">exp.hpp:10</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a5da0ef87756d3dbd20ca4ff5a3efa10d"><div class="ttname"><a href="namespacestan_1_1math.html#a5da0ef87756d3dbd20ca4ff5a3efa10d">stan::math::max</a></div><div class="ttdeci">int max(const std::vector&lt; int &gt; &amp;x)</div><div class="ttdoc">Returns the maximum coefficient in the specified column vector. </div><div class="ttdef"><b>Definition:</b> <a href="max_8hpp_source.html#l00021">max.hpp:21</a></div></div>
+<div class="ttc" id="check__bounded_8hpp_html"><div class="ttname"><a href="check__bounded_8hpp.html">check_bounded.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a8e8b8fb2cc649fc1f34e75d0b1fe2ca3"><div class="ttname"><a href="namespacestan_1_1math.html#a8e8b8fb2cc649fc1f34e75d0b1fe2ca3">stan::math::check_consistent_sizes</a></div><div class="ttdeci">bool check_consistent_sizes(const char *function, const char *name1, const T1 &amp;x1, const char *name2, const T2 &amp;x2)</div><div class="ttdoc">Return true if the dimension of x1 is consistent with x2. </div><div class="ttdef"><b>Definition:</b> <a href="check__consistent__sizes_8hpp_source.html#l00031">check_consistent_sizes.hpp:31</a></div></div>
+<div class="ttc" id="check__finite_8hpp_html"><div class="ttname"><a href="check__finite_8hpp.html">check_finite.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a27caea996a79cd150f26db44fd635684"><div class="ttname"><a href="namespacestan_1_1math.html#a27caea996a79cd150f26db44fd635684">stan::math::pow</a></div><div class="ttdeci">fvar&lt; T &gt; pow(const fvar&lt; T &gt; &amp;x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2pow_8hpp_source.html#l00018">pow.hpp:18</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2value__of_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2value__of_8hpp.html">value_of.hpp</a></div></div>
+<div class="ttc" id="classstan_1_1_vector_view_html"><div class="ttname"><a href="classstan_1_1_vector_view.html">stan::VectorView</a></div><div class="ttdoc">VectorView is a template expression that is constructed with a container or scalar, which it then allows to be used as an array using operator[]. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2_vector_view_8hpp_source.html#l00048">VectorView.hpp:48</a></div></div>
+<div class="ttc" id="check__consistent__sizes_8hpp_html"><div class="ttname"><a href="check__consistent__sizes_8hpp.html">check_consistent_sizes.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_ab1b2e9b4a947b81917612a8d1d547afb"><div class="ttname"><a href="namespacestan_1_1math.html#ab1b2e9b4a947b81917612a8d1d547afb">stan::math::ceil</a></div><div class="ttdeci">fvar&lt; T &gt; ceil(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2ceil_8hpp_source.html#l00011">ceil.hpp:11</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a34bffe91b7a24cb29bd69cb60814c39e"><div class="ttname"><a href="namespacestan_1_1math.html#a34bffe91b7a24cb29bd69cb60814c39e">stan::math::negative_infinity</a></div><div class="ttdeci">double negative_infinity()</div><div class="ttdoc">Return negative infinity. </div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00132">constants.hpp:132</a></div></div>
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+<div class="textblock"><code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__ldlt__factor_8hpp_source.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lmgamma_8hpp_source.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2crossprod_8hpp_source.html">stan/math/prim/mat/fun/crossprod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2columns__dot__product_8hpp_source.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="trace_8hpp_source.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">stan/math/prim/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+</div>
+<p><a href="wishart__log_8hpp_source.html">Go to the source code of this file.</a></p>
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+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
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+Functions</h2></td></tr>
+<tr class="memitem:a91db893054b635d18034d06c161365a1"><td class="memTemplParams" colspan="2">template&lt;bool propto, typename T_y , typename T_dof , typename T_scale &gt; </td></tr>
+<tr class="memitem:a91db893054b635d18034d06c161365a1"><td class="memTemplItemLeft" align="right" valign="top">boost::math::tools::promote_args&lt; T_y, T_dof, T_scale &gt;::type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a91db893054b635d18034d06c161365a1">stan::math::wishart_log</a> (const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;W, const T_dof &amp;nu, const Eigen::Matrix&lt; T_scale, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S)</td></tr>
+<tr class="memdesc:a91db893054b635d18034d06c161365a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">The log of the Wishart density for the given W, degrees of freedom, and scale matrix.  <a href="namespacestan_1_1math.html#a91db893054b635d18034d06c161365a1">More...</a><br /></td></tr>
+<tr class="separator:a91db893054b635d18034d06c161365a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a951a06ccbb12ca44a08544000372dbf1"><td class="memTemplParams" colspan="2">template&lt;typename T_y , typename T_dof , typename T_scale &gt; </td></tr>
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+<a href="wishart__log_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_WISHART_LOG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_WISHART_LOG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lmgamma_8hpp.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2crossprod_8hpp.html">stan/math/prim/mat/fun/crossprod.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2columns__dot__product_8hpp.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="trace_8hpp.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">stan/math/prim/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="comment">// Wishart(Sigma|n, Omega)  [Sigma, Omega symmetric, non-neg, definite;</span></div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;    <span class="comment">//                          Sigma.dims() = Omega.dims();</span></div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="comment">//                           n &gt; Sigma.rows() - 1]</span></div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;<span class="comment"></span>    <span class="keyword">template</span> &lt;<span class="keywordtype">bool</span> propto,</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;              <span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_y, T_dof, T_scale&gt;::type</div>
+<div class="line"><a name="l00058"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a91db893054b635d18034d06c161365a1">   58</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a91db893054b635d18034d06c161365a1">wishart_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; W,</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;                <span class="keyword">const</span> T_dof&amp; nu,</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                <span class="keyword">const</span> Eigen::Matrix&lt;T_scale, Eigen::Dynamic, Eigen::Dynamic&gt;&amp;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                S) {</div>
+<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::wishart_log&quot;</span>);</div>
+<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;</div>
+<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;      <span class="keyword">using</span> boost::math::tools::promote_args;</div>
+<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      <span class="keyword">using</span> Eigen::Dynamic;</div>
+<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">using</span> Eigen::Lower;</div>
+<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keyword">using</span> Eigen::Matrix;</div>
+<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a>;</div>
+<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math::check_ldlt_factor</a>;</div>
+<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>;</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keyword">using</span> <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a>;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">stan::math::log_determinant_ldlt</a>;</div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">stan::math::mdivide_left_ldlt</a>;</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;</div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;Matrix&lt;T_scale, Dynamic, Dynamic&gt;</a> &gt;::type k</div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;        = W.rows();</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      <span class="keyword">typename</span> promote_args&lt;T_y, T_dof, T_scale&gt;::type lp(0.0);</div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      <a class="code" href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">check_greater</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;Degrees of freedom parameter&quot;</span>, nu, k-1);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">check_square</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;random variable&quot;</span>, W);</div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">check_square</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;scale parameter&quot;</span>, S);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">check_size_match</a>(<span class="keyword">function</span>,</div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;                       <span class="stringliteral">&quot;Rows of random variable&quot;</span>, W.rows(),</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;                       <span class="stringliteral">&quot;columns of scale parameter&quot;</span>, S.rows());</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      <span class="comment">// FIXME: domain checks</span></div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;</div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;</a> ldlt_W(W);</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">check_ldlt_factor</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;LDLT_Factor of random variable&quot;</span>,</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;                             ldlt_W))</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      <a class="code" href="classstan_1_1math_1_1_l_d_l_t__factor.html">LDLT_factor&lt;T_scale, Eigen::Dynamic, Eigen::Dynamic&gt;</a> ldlt_S(S);</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;      <span class="keywordflow">if</span> (!<a class="code" href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">check_ldlt_factor</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;LDLT_Factor of scale parameter&quot;</span>,</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                             ldlt_S))</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a7001fd7e0296d5dae6ab0a88e1a28547">stan::math::trace</a>;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#ad46d6e08f7b6e9b9e8941572d30b104e">stan::math::lmgamma</a>;</div>
+<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        lp += nu * k * <a class="code" href="namespacestan_1_1math.html#a9b0bc03717322aa20ea2be9d6e488738">NEG_LOG_TWO_OVER_TWO</a>;</div>
+<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
+<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof&gt;::value</a>)</div>
+<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        lp -= <a class="code" href="namespacestan_1_1math.html#ad46d6e08f7b6e9b9e8941572d30b104e">lmgamma</a>(k, 0.5 * nu);</div>
+<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
+<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_dof, T_scale&gt;::value</a>)</div>
+<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;        lp -= 0.5 * nu * <a class="code" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">log_determinant_ldlt</a>(ldlt_S);</div>
+<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
+<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_scale, T_y&gt;::value</a>) {</div>
+<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        Matrix&lt;typename promote_args&lt;T_y, T_scale&gt;::type, Dynamic, Dynamic&gt;</div>
+<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          Sinv_W(<a class="code" href="namespacestan_1_1math.html#a63890dd40cd8ad08a55c3b4e8616c741">mdivide_left_ldlt</a></div>
+<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;                 (ldlt_S,</div>
+<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;                  <span class="keyword">static_cast&lt;</span>Matrix&lt;T_y, Dynamic, Dynamic&gt; <span class="keyword">&gt;</span></div>
+<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;                  (W.template selfadjointView&lt;Lower&gt;())));</div>
+<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        lp -= 0.5 * <a class="code" href="namespacestan_1_1math.html#a7001fd7e0296d5dae6ab0a88e1a28547">trace</a>(Sinv_W);</div>
+<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      }</div>
+<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;</div>
+<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keywordflow">if</span> (<a class="code" href="structstan_1_1math_1_1include__summand.html">include_summand&lt;propto, T_y, T_dof&gt;::value</a> &amp;&amp; nu != (k + 1))</div>
+<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        lp += 0.5 * (nu - k - 1.0) * <a class="code" href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">log_determinant_ldlt</a>(ldlt_W);</div>
+<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <span class="keywordflow">return</span> lp;</div>
+<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    }</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T_y, <span class="keyword">typename</span> T_dof, <span class="keyword">typename</span> T_scale&gt;</div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;    <span class="keyword">inline</span></div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;    <span class="keyword">typename</span> boost::math::tools::promote_args&lt;T_y, T_dof, T_scale&gt;::type</div>
+<div class="line"><a name="l00127"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a951a06ccbb12ca44a08544000372dbf1">  127</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a91db893054b635d18034d06c161365a1">wishart_log</a>(<span class="keyword">const</span> Eigen::Matrix&lt;T_y, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; W,</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                <span class="keyword">const</span> T_dof&amp; nu,</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                <span class="keyword">const</span> Eigen::Matrix</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                &lt;T_scale, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; S) {</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <span class="keywordflow">return</span> wishart_log&lt;false&gt;(W, nu, S);</div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    }</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;  }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;}</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">multiply_lower_tri_self_transpose.hpp</a></div></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2crossprod_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2crossprod_8hpp.html">crossprod.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1include__summand_html"><div class="ttname"><a href="structstan_1_1math_1_1include__summand.html">stan::math::include_summand</a></div><div class="ttdoc">Template metaprogram to calculate whether a summand needs to be included in a proportional (log) prob...</div><div class="ttdef"><b>Definition:</b> <a href="include__summand_8hpp_source.html#l00036">include_summand.hpp:36</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a91db893054b635d18034d06c161365a1"><div class="ttname"><a href="namespacestan_1_1math.html#a91db893054b635d18034d06c161365a1">stan::math::wishart_log</a></div><div class="ttdeci">boost::math::tools::promote_args&lt; T_y, T_dof, T_scale &gt;::type wishart_log(const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;W, const T_dof &amp;nu, const Eigen::Matrix&lt; T_scale, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S)</div><div class="ttdoc">The log of the Wishart density for the given W, degrees of freedom, and scale matrix. </div><div class="ttdef"><b>Definition:</b> <a href="wishart__log_8hpp_source.html#l00058">wishart_log.hpp:58</a></div></div>
+<div class="ttc" id="trace_8hpp_html"><div class="ttname"><a href="trace_8hpp.html">trace.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
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+<div class="ttc" id="check__ldlt__factor_8hpp_html"><div class="ttname"><a href="check__ldlt__factor_8hpp.html">check_ldlt_factor.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2columns__dot__product_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2columns__dot__product_8hpp.html">columns_dot_product.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
+<div class="ttc" id="classstan_1_1math_1_1_l_d_l_t__factor_html"><div class="ttname"><a href="classstan_1_1math_1_1_l_d_l_t__factor.html">stan::math::LDLT_factor</a></div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2_l_d_l_t__factor_8hpp_source.html#l00018">LDLT_factor.hpp:18</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_aa547146eaac690e79a611e50a6dffb4d"><div class="ttname"><a href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a></div><div class="ttdeci">bool check_size_match(const char *function, const char *name_i, T_size1 i, const char *name_j, T_size2 j)</div><div class="ttdoc">Return true if the provided sizes match. </div><div class="ttdef"><b>Definition:</b> <a href="check__size__match_8hpp_source.html#l00030">check_size_match.hpp:30</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lmgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lmgamma_8hpp.html">lmgamma.hpp</a></div></div>
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+<div class="ttc" id="namespacestan_1_1math_html_a9b0bc03717322aa20ea2be9d6e488738"><div class="ttname"><a href="namespacestan_1_1math.html#a9b0bc03717322aa20ea2be9d6e488738">stan::math::NEG_LOG_TWO_OVER_TWO</a></div><div class="ttdeci">const double NEG_LOG_TWO_OVER_TWO</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00191">constants.hpp:191</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">mdivide_left_ldlt.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a1d95f632b80e8653fe5891209bdeda45"><div class="ttname"><a href="namespacestan_1_1math.html#a1d95f632b80e8653fe5891209bdeda45">stan::math::log_determinant_ldlt</a></div><div class="ttdeci">T log_determinant_ldlt(stan::math::LDLT_factor&lt; T, R, C &gt; &amp;A)</div><div class="ttdef"><b>Definition:</b> <a href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html#l00012">log_determinant_ldlt.hpp:12</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad46d6e08f7b6e9b9e8941572d30b104e"><div class="ttname"><a href="namespacestan_1_1math.html#ad46d6e08f7b6e9b9e8941572d30b104e">stan::math::lmgamma</a></div><div class="ttdeci">fvar&lt; typename stan::return_type&lt; T, int &gt;::type &gt; lmgamma(int x1, const fvar&lt; T &gt; &amp;x2)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2lmgamma_8hpp_source.html#l00016">lmgamma.hpp:16</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp.html">mdivide_left_tri_low.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ad60ac97b8f74b7c5ce2feb4bdb9e09e0"><div class="ttname"><a href="namespacestan_1_1math.html#ad60ac97b8f74b7c5ce2feb4bdb9e09e0">stan::math::check_greater</a></div><div class="ttdeci">bool check_greater(const char *function, const char *name, const T_y &amp;y, const T_low &amp;low)</div><div class="ttdoc">Return true if y is strictly greater than low. </div><div class="ttdef"><b>Definition:</b> <a href="check__greater_8hpp_source.html#l00084">check_greater.hpp:84</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7547b05717280b1cc041309803ec797d"><div class="ttname"><a href="namespacestan_1_1math.html#a7547b05717280b1cc041309803ec797d">stan::math::check_ldlt_factor</a></div><div class="ttdeci">bool check_ldlt_factor(const char *function, const char *name, stan::math::LDLT_factor&lt; T, R, C &gt; &amp;A)</div><div class="ttdoc">Return true if the argument is a valid stan::math::LDLT_factor. </div><div class="ttdef"><b>Definition:</b> <a href="check__ldlt__factor_8hpp_source.html#l00034">check_ldlt_factor.hpp:34</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2log__determinant__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">log_determinant_ldlt.hpp</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
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diff --git a/doc/api/html/wishart__rng_8hpp.html b/doc/api/html/wishart__rng_8hpp.html
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+<div class="title">wishart_rng.hpp File Reference</div>  </div>
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+<div class="contents">
+<div class="textblock"><code>#include &lt;<a class="el" href="check__size__match_8hpp_source.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__ldlt__factor_8hpp_source.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__square_8hpp_source.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="check__greater_8hpp_source.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2scal_2fun_2lmgamma_8hpp_source.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2crossprod_8hpp_source.html">stan/math/prim/mat/fun/crossprod.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2columns__dot__product_8hpp_source.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="trace_8hpp_source.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp_source.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2dot__product_8hpp_source.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_source.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_source.html">stan/math/prim/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="mat_2meta_2index__type_8hpp_source.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="constants_8hpp_source.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="normal__rng_8hpp_source.html">stan/math/prim/scal/prob/normal_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="chi__square__rng_8hpp_source.html">stan/math/prim/scal/prob/chi_square_rng.hpp</a>&gt;</code><br />
+<code>#include &lt;<a class="el" href="include__summand_8hpp_source.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</code><br />
+</div>
+<p><a href="wishart__rng_8hpp_source.html">Go to the source code of this file.</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="namespaces"></a>
+Namespaces</h2></td></tr>
+<tr class="memitem:namespacestan"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan.html">stan</a></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:namespacestan_1_1math"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html">stan::math</a></td></tr>
+<tr class="memdesc:namespacestan_1_1math"><td class="mdescLeft">&#160;</td><td class="mdescRight">Matrices and templated mathematical functions. <br /></td></tr>
+<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table><table class="memberdecls">
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+Functions</h2></td></tr>
+<tr class="memitem:a7025b4916694aa80aa0d758a11647b5d"><td class="memTemplParams" colspan="2">template&lt;class RNG &gt; </td></tr>
+<tr class="memitem:a7025b4916694aa80aa0d758a11647b5d"><td class="memTemplItemLeft" align="right" valign="top">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespacestan_1_1math.html#a7025b4916694aa80aa0d758a11647b5d">stan::math::wishart_rng</a> (const double nu, const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S, RNG &amp;rng)</td></tr>
+<tr class="separator:a7025b4916694aa80aa0d758a11647b5d"><td class="memSeparator" colspan="2">&#160;</td></tr>
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+  <i>&copy; 2011&ndash;2016,
+  Stan Development Team.
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+</div>
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+<li class="navelem"><a class="el" href="dir_efcd2e41f112f3859788b485ea2ed7cf.html">stan</a></li><li class="navelem"><a class="el" href="dir_319cc4632a97ed31368425a24c312e54.html">math</a></li><li class="navelem"><a class="el" href="dir_5988f0c3962c3bf159982d25a28dffb9.html">prim</a></li><li class="navelem"><a class="el" href="dir_432a6a494fb6b56de020084eb4b3c5f5.html">mat</a></li><li class="navelem"><a class="el" href="dir_8f020a45171d0929a3f18f333461ed30.html">prob</a></li>  </ul>
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+<div class="title">wishart_rng.hpp</div>  </div>
+</div><!--header-->
+<div class="contents">
+<a href="wishart__rng_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef STAN_MATH_PRIM_MAT_PROB_WISHART_RNG_HPP</span></div>
+<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define STAN_MATH_PRIM_MAT_PROB_WISHART_RNG_HPP</span></div>
+<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
+<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__size__match_8hpp.html">stan/math/prim/scal/err/check_size_match.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__ldlt__factor_8hpp.html">stan/math/prim/mat/err/check_ldlt_factor.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__square_8hpp.html">stan/math/prim/mat/err/check_square.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="check__greater_8hpp.html">stan/math/prim/scal/err/check_greater.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2scal_2fun_2lmgamma_8hpp.html">stan/math/prim/scal/fun/lmgamma.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2crossprod_8hpp.html">stan/math/prim/mat/fun/crossprod.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2columns__dot__product_8hpp.html">stan/math/prim/mat/fun/columns_dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="trace_8hpp.html">stan/math/prim/mat/fun/trace.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">stan/math/prim/mat/fun/log_determinant_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">stan/math/prim/mat/fun/mdivide_left_ldlt.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2dot__product_8hpp.html">stan/math/prim/mat/fun/dot_product.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp.html">stan/math/prim/mat/fun/mdivide_left_tri_low.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">stan/math/prim/mat/fun/multiply_lower_tri_self_transpose.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="mat_2meta_2index__type_8hpp.html">stan/math/prim/mat/meta/index_type.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="constants_8hpp.html">stan/math/prim/scal/fun/constants.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="normal__rng_8hpp.html">stan/math/prim/scal/prob/normal_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="chi__square__rng_8hpp.html">stan/math/prim/scal/prob/chi_square_rng.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="include__summand_8hpp.html">stan/math/prim/scal/meta/include_summand.hpp</a>&gt;</span></div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacestan.html">stan</a> {</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">namespace </span>math {</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;</div>
+<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;    <span class="keyword">template</span> &lt;<span class="keyword">class</span> RNG&gt;</div>
+<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;    <span class="keyword">inline</span> Eigen::Matrix&lt;double, Eigen::Dynamic, Eigen::Dynamic&gt;</div>
+<div class="line"><a name="l00029"></a><span class="lineno"><a class="line" href="namespacestan_1_1math.html#a7025b4916694aa80aa0d758a11647b5d">   29</a></span>&#160;    <a class="code" href="namespacestan_1_1math.html#a7025b4916694aa80aa0d758a11647b5d">wishart_rng</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> nu,</div>
+<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;                <span class="keyword">const</span> Eigen::Matrix&lt;double, Eigen::Dynamic, Eigen::Dynamic&gt;&amp; S,</div>
+<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;                RNG&amp; rng) {</div>
+<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;      <span class="keyword">using</span> Eigen::MatrixXd;</div>
+<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;      <span class="keyword">using</span> <a class="code" href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a>;</div>
+<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a>;</div>
+<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a>;</div>
+<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;      <span class="keyword">using</span> <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a>;</div>
+<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
+<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;      <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span>* <span class="keyword">function</span>(<span class="stringliteral">&quot;stan::math::wishart_rng&quot;</span>);</div>
+<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
+<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keyword">typename</span> <a class="code" href="structstan_1_1math_1_1index__type.html">index_type&lt;MatrixXd&gt;::type</a> k = S.rows();</div>
+<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;</div>
+<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">check_positive</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;degrees of freedom&quot;</span>, nu);</div>
+<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;      <a class="code" href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">check_square</a>(<span class="keyword">function</span>, <span class="stringliteral">&quot;scale parameter&quot;</span>, S);</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;      MatrixXd B = MatrixXd::Zero(k, k);</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; k; ++j) {</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; j; ++i)</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;          B(i, j) = <a class="code" href="namespacestan_1_1math.html#ac70652885c9903a1122575590075bc78">normal_rng</a>(0, 1, rng);</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;        B(j, j) = <a class="code" href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">std::sqrt</a>(<a class="code" href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">chi_square_rng</a>(nu - j, rng));</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;      }</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;      <span class="keywordflow">return</span> <a class="code" href="namespacestan_1_1math.html#abd303ef11dc0c73cda2f743a3b67fbf1">stan::math::crossprod</a>(B * S.llt().matrixU());</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    }</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  }</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;}</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="preprocessor">#endif</span></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac1653e58694ea92bc1781e5d332c31e8"><div class="ttname"><a href="namespacestan_1_1math.html#ac1653e58694ea92bc1781e5d332c31e8">stan::math::chi_square_rng</a></div><div class="ttdeci">double chi_square_rng(const double nu, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="chi__square__rng_8hpp_source.html#l00024">chi_square_rng.hpp:24</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2multiply__lower__tri__self__transpose_8hpp.html">multiply_lower_tri_self_transpose.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa5231d132852d58cd3fe610221c9766f"><div class="ttname"><a href="namespacestan_1_1math.html#aa5231d132852d58cd3fe610221c9766f">stan::math::sqrt</a></div><div class="ttdeci">fvar&lt; T &gt; sqrt(const fvar&lt; T &gt; &amp;x)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2scal_2fun_2sqrt_8hpp_source.html#l00015">sqrt.hpp:15</a></div></div>
+<div class="ttc" id="check__size__match_8hpp_html"><div class="ttname"><a href="check__size__match_8hpp.html">check_size_match.hpp</a></div></div>
+<div class="ttc" id="namespacestan_html"><div class="ttname"><a href="namespacestan.html">stan</a></div><div class="ttdef"><b>Definition:</b> <a href="fwd_2arr_2fun_2log__sum__exp_8hpp_source.html#l00008">log_sum_exp.hpp:8</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2crossprod_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2crossprod_8hpp.html">crossprod.hpp</a></div></div>
+<div class="ttc" id="normal__rng_8hpp_html"><div class="ttname"><a href="normal__rng_8hpp.html">normal_rng.hpp</a></div></div>
+<div class="ttc" id="trace_8hpp_html"><div class="ttname"><a href="trace_8hpp.html">trace.hpp</a></div></div>
+<div class="ttc" id="include__summand_8hpp_html"><div class="ttname"><a href="include__summand_8hpp.html">include_summand.hpp</a></div></div>
+<div class="ttc" id="check__greater_8hpp_html"><div class="ttname"><a href="check__greater_8hpp.html">check_greater.hpp</a></div></div>
+<div class="ttc" id="check__ldlt__factor_8hpp_html"><div class="ttname"><a href="check__ldlt__factor_8hpp.html">check_ldlt_factor.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2columns__dot__product_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2columns__dot__product_8hpp.html">columns_dot_product.hpp</a></div></div>
+<div class="ttc" id="structstan_1_1math_1_1index__type_html"><div class="ttname"><a href="structstan_1_1math_1_1index__type.html">stan::math::index_type</a></div><div class="ttdoc">Primary template class for the metaprogram to compute the index type of a container. </div><div class="ttdef"><b>Definition:</b> <a href="scal_2meta_2index__type_8hpp_source.html#l00019">index_type.hpp:19</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a7025b4916694aa80aa0d758a11647b5d"><div class="ttname"><a href="namespacestan_1_1math.html#a7025b4916694aa80aa0d758a11647b5d">stan::math::wishart_rng</a></div><div class="ttdeci">Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; wishart_rng(const double nu, const Eigen::Matrix&lt; double, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;S, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="wishart__rng_8hpp_source.html#l00029">wishart_rng.hpp:29</a></div></div>
+<div class="ttc" id="mat_2meta_2index__type_8hpp_html"><div class="ttname"><a href="mat_2meta_2index__type_8hpp.html">index_type.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_abd303ef11dc0c73cda2f743a3b67fbf1"><div class="ttname"><a href="namespacestan_1_1math.html#abd303ef11dc0c73cda2f743a3b67fbf1">stan::math::crossprod</a></div><div class="ttdeci">Eigen::Matrix&lt; fvar&lt; T &gt;, C, C &gt; crossprod(const Eigen::Matrix&lt; fvar&lt; T &gt;, R, C &gt; &amp;m)</div><div class="ttdef"><b>Definition:</b> <a href="fwd_2mat_2fun_2crossprod_8hpp_source.html#l00017">crossprod.hpp:17</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a814694b1125e641ca7b2e7269c82f966"><div class="ttname"><a href="namespacestan_1_1math.html#a814694b1125e641ca7b2e7269c82f966">stan::math::check_positive</a></div><div class="ttdeci">bool check_positive(const char *function, const char *name, const T_y &amp;y)</div><div class="ttdoc">Return true if y is positive. </div><div class="ttdef"><b>Definition:</b> <a href="check__positive_8hpp_source.html#l00068">check_positive.hpp:68</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_aa547146eaac690e79a611e50a6dffb4d"><div class="ttname"><a href="namespacestan_1_1math.html#aa547146eaac690e79a611e50a6dffb4d">stan::math::check_size_match</a></div><div class="ttdeci">bool check_size_match(const char *function, const char *name_i, T_size1 i, const char *name_j, T_size2 j)</div><div class="ttdoc">Return true if the provided sizes match. </div><div class="ttdef"><b>Definition:</b> <a href="check__size__match_8hpp_source.html#l00030">check_size_match.hpp:30</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2dot__product_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2dot__product_8hpp.html">dot_product.hpp</a></div></div>
+<div class="ttc" id="chi__square__rng_8hpp_html"><div class="ttname"><a href="chi__square__rng_8hpp.html">chi_square_rng.hpp</a></div></div>
+<div class="ttc" id="constants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div></div>
+<div class="ttc" id="prim_2scal_2fun_2lmgamma_8hpp_html"><div class="ttname"><a href="prim_2scal_2fun_2lmgamma_8hpp.html">lmgamma.hpp</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__ldlt_8hpp.html">mdivide_left_ldlt.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_a94cfaa76ca5bc3f0ea5ad1d5b9f80727"><div class="ttname"><a href="namespacestan_1_1math.html#a94cfaa76ca5bc3f0ea5ad1d5b9f80727">stan::math::check_square</a></div><div class="ttdeci">bool check_square(const char *function, const char *name, const Eigen::Matrix&lt; T_y, Eigen::Dynamic, Eigen::Dynamic &gt; &amp;y)</div><div class="ttdoc">Return true if the specified matrix is square. </div><div class="ttdef"><b>Definition:</b> <a href="check__square_8hpp_source.html#l00028">check_square.hpp:28</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2mdivide__left__tri__low_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2mdivide__left__tri__low_8hpp.html">mdivide_left_tri_low.hpp</a></div></div>
+<div class="ttc" id="namespacestan_1_1math_html_ac70652885c9903a1122575590075bc78"><div class="ttname"><a href="namespacestan_1_1math.html#ac70652885c9903a1122575590075bc78">stan::math::normal_rng</a></div><div class="ttdeci">double normal_rng(const double mu, const double sigma, RNG &amp;rng)</div><div class="ttdef"><b>Definition:</b> <a href="normal__rng_8hpp_source.html#l00019">normal_rng.hpp:19</a></div></div>
+<div class="ttc" id="prim_2mat_2fun_2log__determinant__ldlt_8hpp_html"><div class="ttname"><a href="prim_2mat_2fun_2log__determinant__ldlt_8hpp.html">log_determinant_ldlt.hpp</a></div></div>
+<div class="ttc" id="check__square_8hpp_html"><div class="ttname"><a href="check__square_8hpp.html">check_square.hpp</a></div></div>
+</div><!-- fragment --></div><!-- contents -->
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